diff --git "a/matchstick_equation/bfs/train/batch_000672.jsonl" "b/matchstick_equation/bfs/train/batch_000672.jsonl" new file mode 100644--- /dev/null +++ "b/matchstick_equation/bfs/train/batch_000672.jsonl" @@ -0,0 +1,100 @@ +{"episode": 67200, "episode_seed": 2220774239, "split": "train", "timestamp": "2025-10-28T03:49:14.386581", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2220774239, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 7, 0, 4])", "action": "('move', [1, 7, 0, 4])", "reward": 0.0, "image": 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4h2drFNCwKm2miQq6I0O1XTcCVYg9TX3b+1L8Hf2J/ilqvg66/a80DwTeXmn6xjwUfF19FA7XjtGTFAJHXzmYpHmL5g2Fyp4rd/aq0fStS/Zj+Iun3+nQywXPgbVop43jGHRrOVWU+xBIr4fF8NYqpjMRiI4pxUtbK97W2lqtFst9D9rz3xJwWa8E5Lk9PA+znhL3q2Su1pem97yfv1NV+8S16nzL+wH4Y8I/Dn9tzxz4H+AOgWOm+Dp/h3p974w07QrGFNPtNcF0yWZBjGI55LLzS8YxlI4XIBYM/wBuV8w/8E7vgl8JfgFr/jvwN8GfANh4d0l4NJuXstPVtrzMbwNIxYlmYhVGSTwoA4FfT1evwrDkyKjre93+L0Pzvi7MKWY53KpT5moxjHmlbnnyxS5pWbV32u7JJcztdlfy0fGj4y/tYaL+3x4u+JviLxVrWk/FD/hLL+0v7qRlguIGbfbNb4b5Fi8g+UFPyCPAHy4r+pevGPjF+yd+zhF4i8XftUx/B3RR8Q5fB1/aP4r+zn7UYvsbxdc7d3lgR78btny5xxRxBlFbNYUvZ1OTkd/+D6rp6vU+x8LfEPLuAf7RWKwar/WaXs47aPX3ZX/5dzv79rv3Y6M8A8N+OLfwf8a7PSoPiIdIutV8CWUFjpI1RITqRWedjtjOHleMDjZyods9a+0fA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c14P8AscIjfEjVWZASPAmi4JHT99e19G15vB2AqU8HHFuq2pppR6K0n5/ot2fAZxXjKs6PKrp79XoFFFFfZnjBX84n/BdDxh8eNS/4KjeLo/HtxqiSaLcWUPgSKSEhYtOCJJA1uBwwaVpGyMkyFs8ggf0d18R/8FFvgJ8Gvif8b9Q+IPxC+HOnaxrXhb4a2k/h7UL1GZrGT7Tqb7kAIUncisNwOCoIr5TjCi6uUpqTVpR+d9Pwvc/WPB3jbBcC8T1MbicN7aM6U4WVrpuzTV9LO3LLrZve1n9X/ALUfiBq/wACfBWrfFm2kg8VXXhLTZvE0M0AiePUGtY2uFZF4QiUuCo4HSutoor6mEeWCje9j8txFVV686iio8zbstld3svJbI/NL/g568UfGXRP2OvCuh+B5b+Lwnq/i3yvG0lnH+7cJH5lpFMw5WMyqzAfdLxpnkKD8vf8EPfjTquifArxX4Q8cftR6h4L0PTtfibw7psXiu005HeWN3umCyje/Pk5PQE8c5r9bP29PBPhT4kfsyat4C8daDDqmjatreiW+pafc58u4ibVrTKttIOPoQaxP+CfHwz+H/ws+FHiD4f/AA78IWOj6LpnjGeOw06zixHCptLRjjOSSWZiSSSSSSa+HzTLK+N4m5adeUG6d7rpZ2stVo9/U/X8J4g5fQ8IHw1LBKVT2/Nz6Wtfm5tr+0/5d7W9n16HynpPhf4N+BfjV8JfiL+zDqVle+O/EXxYgt7zxBol9FqF/wCItPuJS2u/bZgzG4hS3DzOzZEMkUO3YSAf0pr4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2u7hGhKhhKycm7VJLXytr8+p8VxbmlPMfqsIylNwp6yn8Tcm3yrWXuQ+zd3bcpWjflRSOiSIY5EDKwwysMgj0pa474z+Oo/CXhl9OtZD9v1FGitgoB2DgMxz7Hj3r6LG4ujgcLOvVfuxV/8l83ofKUKU69VU47s+S/2qvFXgnRtUtvhvcz3B0PxDrgh16e3SItaaBHPGL+dg0ibYgsiRFxkqsxYKSMV9wWVpZ2FnFYadbRQW8ESxwQwoFSNAMKqgcAAAAAcYr5F+HPwWi+Ivw+8UftC+ItLMyaxO+kaPZ3GGQ+H7dnhdthjBHn3BnmIJYGLyfTA9u/ZA1HxIvwYsfBfi69+133hpm0yK+aZXa8tI+LWV9qrh/J2K/yj95G5BYEMfj+FZPBYieHrQUZVUqkfNO+ny7ep7OapVqaqQd1B8r9e/wAz1GiiivujwT8vPEXxW+Idl+z/AOMPEM/jHUf+FyS/FqeG306VInvz4gTWkXTrCO2bIMRtoLUIoGDbAyA7cvXJf8HUnif4w2Xgr4WeFNLlv4/Ad9f382s+THi3m1ONY/sySuP4hE1wyIeDhiMlePpT4tfAP4M6n+3fffH3Ufhxps/jOx+JHhi0svEMqM08MPk6Uu1cnaPlkcbsZwxGa9d/4KK/C74e/Gb4T+G/h38UvCltreiX3ja3N5pt2WEcpS0u3XJQg8MoPB7V+cUsHOOVZlD2j0m/ny6/+TbM/bMj42yTIuNMrzeGE5oxlOpONopp1YqPLT6ONK3NTb5XdtWju/Bf+Db7W/ixq/8AwTgtbX4jQXS6XYeL9Rt/BUlzbBBJpmInYowGZEF292u491K9FFffNeRfsL+FvDngf9mvSvBng/RbfTdK0rWNZtdOsLVNsdvCmqXSoij0AH19a9dr7XJoOGU0Fe/uR/I/OOMs4pZ/xXjcxpUlTjVqTkorpd9fN7yfVtsK8e/Zk+DH7EHw18SeNb79lDw54HttU1DWMeOv+EVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGKn/by8QfFzwr+xl8TfEnwHF5/wAJfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8Edvi9498C/tgR6fZ/G/U/B+ga/pl2fGOowa7FZLcJHDJJAZJZ8qW+0FMH73zsBwzV5ed57QynGUY1KXNdN30uunu+ffVaH3PBHh9jeJ+Bs4zWljvYxw6jend2qcvv+/Z7f8APvR3n2tc/pWjt4IjuihRT6qoFPr5D+CHxjHiDWxoHw6/aPufG94tzHO1u/im31GSJfuciDBWM55yMd6+vBnHNduUZ1RzhTdOEoqNt+t/6/I/LsZgp4NxUmnfsFfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDW+c0nWyqvBO3uv8Ff8AHY9zgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP95I/H7/ghn8Zta8PfC3xt4N8ZftOX/grw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9a/8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk15F4A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn89hlVenhsDXlXk1OcEo62jfXTV7eiP0POeOsDm/GmZ5rToyowmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+Jn8//APwcoeLPjRef8FCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP9ln9oK1+IP7LXg7UP2h/22r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/s4ftMX+gan8evg9ovim48L3hutBl1W3Lm0lJQtjBG5WMaZRsq20ZBxXfmztCcm1jJ/3BXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h+w8R+JmWZ1wLlORU8Co1MGmpT0s9Le7o37/x1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1wrN8Y6eNW8JappZsUuRc6dPEbaTO2UNGw2HHODnHHrWlRXZOPPBxva5jF8skzxv9l3wL/ZGtaz4va3nh83TrTTI4ZE2oFged+ARnIMpU89gOua9koorhyvARyzAQwylzct9dt23+pviq7xVeVVq1/+GCiiivQOcK8J/aY+GzePPHA0f+ypEbXtETS3vrZSZHi3zcZOVBTzpGHHG4k8V7tRXm5rlyzTCewcuVXT+53sdOExLwtXnSvo0FFFFekcx8uf8FG/E/iLQ/GnwY0zUdautP8ABN/42uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/tg3vhzQNN1bS00+xtfF9jYwLqBsgL9I94LSbSluGJJ2yF04KsB+ifxU+FXw6+N/w+1T4VfFnwhZa94d1qAQ6npOoR7orhAwYZxgghlVgQQQVBBBANQ/Cn4N/C34HfD7TfhV8JfA2n6D4e0eJo9N0qwhxFArOztjOSSWZmJJJJYkkk18nmXDuLx2aPFU8Q6acUtL3XktVo999+h9nh+IMoo8OrCzw/NXS5L2jy8vtPae0v8XtP+XdrW5PtfZPA/wBljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXrZPlf8AZOFdFzc25OTbVtXbzfbufL4zFfW6qny2srWCuW+I/wALdN+Iz2ct1qElq9qxBeNAxeM4yvPQ8cHt6GuporuxWFw+NoOjXjzRe69NTClVqUZqcHZop3uh6ffaDJ4ckj220lqbcqvZNu3j8Kx/hv8ADix+HOn3FpbX73Ul1NvlmdAvA4VcD0B/Mnp0rpKKUsHhpYiFdx9+KaT7J7jVaqqbpp6PcKKKK6TI/Kj4s/GrxN4Y/ZN+I3jbxb8Vr7RvionxJvUlluLiCK+s9cTV1XT7aOOXKpGLaG12cbfs6mQEqC9e16P8S/hf4p8Tafp8v7Wr+LrpLstpej6h46s7wNcFGQOkUeGZwrOBjPDHivqi/wD2S/2bdU/aBt/2qdQ+DeiTfEO0s/stv4re2JuUj8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIK+FXCGMk6qeLaU23ZJu6f8ANqrvufdZ1xNlGM9nLCYa0rynJtRXLKXL+7ha/wC7hy+43Z+8/dVrvkfgD4QbwT8LLHRnEweW6vL2RZxhla5upbgrjAwAZcAHnAGea7Kiivs8NQWGw0KKd1FJfcrHxFWbq1JTfVt/eFedfBT9kn9mv9nLWPEOv/A74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar0WitJU6cpKUkm1s+3p2NaWMxdChUo06kowqW5optKVndcyWjs9Ve9nqhkdvBEd0UKKfVVAp9FFWc4V8xf8FKPEuv6APhNa3ut3Wm+DL34kRJ4wu4iEgLJaTy6fFcyEjy4XvktxyQGcRqT8wB+naw/iV8NfAfxi8B6r8MPif4VtNb8P63Zta6rpV/HuiuIm6qR1ByAQRgggEEEA1xZlhZ47A1KEZcrkrX/rp38j1ckx2Hy7NKdevDmgrprRu0ouN4305o35o305kj87PDPx80a1/ak+KfhNv2ur3wxoGmpovl2Fp4ssrCBNXa3lS9RS4LSMsUNkHBJ2OWXgggfQ37MOh+EfiB4v0PxH4M8b/wDCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V798H/gd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV8xg+FMRQqUZ1cS5Km1Lls7XXRXenrbY9TOM8wOKxNT6nQ5YOKim7KTUYqPNJK6UpW5pJSdm93u3UUUV9ofLBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+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==", 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", 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", "info": {"equation": "8-76*0=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": "8-76*0=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b29ea06bee7b20cecc1e50411327a8a777064335ab6acb2d3e5cc76374fc3cdf"} +{"episode": 67201, "episode_seed": 3293342393, "split": "train", "timestamp": "2025-10-28T03:49:14.451928", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3293342393, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 1, 8])", "action": "('move', [6, 6, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "5*16=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "5*16=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e2f44ee5625061ee19bbdf8889df0805b011c7e978df5f4d26367106321380d3"} +{"episode": 67202, "episode_seed": 1453380800, "split": "train", "timestamp": "2025-10-28T03:49:14.523223", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1453380800, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 8, 7, 6])", "action": "('move', [3, 8, 7, 6])", "reward": 0.0, "image": 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", "info": {"equation": "144/18=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": "144/18=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e4e68715c9934e8b56465cf5f0bee41b24929a518e3878cd10a2134d91a6899b"} +{"episode": 67203, "episode_seed": 215087958, "split": "train", "timestamp": "2025-10-28T03:49:14.585711", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 215087958, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 1, 1])", "action": "('move', [3, 0, 1, 1])", "reward": 0.0, "image": 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", 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Yx8BS+NvHOt/tLa9ZstrB9o8O+BopSp22kUwW9vApjDIZ7iEIvzHMVtGwwHOfpGvG4cwlVUZ46v8AxKz5n5R6L7v07HbmVWHOqFP4YafPqwooor6Q80KKKKAP5/v+DlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/wCCZ3gKf4yQXay2y3Ft4ce9thE8mjxvttGAABZNgwjEZZFU8jBOn/wUO/Z++C37Q3xY+HPh342/DnT/ABJY6foeu3Nlbahv2xTG40pS42Mp+6SMHI56V7B+xha2th+yn4BsLG2jhgg8NW8cEMKBUjRVwqqo4AAAAA4AFfGZZhpUuLMW3NvRP/wKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KH8w3/AAVt8ZfHfxN/wUX+J1z8dbjUk1XS/FVzZ6DDfReX9n0iOZjp4hUcCMwGOQEfeMjOcsxNfqN8Efjlp3xM/Zo8Mj9oL9ufVBreveEoB4u02X4kWVoTLNDiaNlj2tFkMQQpVlzwQRX2N8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45NelfFe0tR8L/Eri1jyNAvDnyx/wA8Hr4RcK4t4mtUhi3Hmd9L3fX3tVrr5n7rx14pYDibhvKMBSy72MsNBe80ktEo/urK/I3G7295JdLv4L+A3gP4S/CL9vL4O2n7InhrR9Ll1rQdTt/HNn4StIXt5/CyWRktrq6KZ2gXy2axTk7pTJINz4O39F6+If8AgnN+zl8C/gF8ZtHn+DXwv0vw9Jrnwwu5tXlsUcvdOs+klSzOzHALuQAQAWJxzX29XocG03DJU73vKT9Oll91/mfnfG2Z0cyzOmqcpT9nTUXOdlOb5pT5pJSltzckfel7sY69EVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7Ixmuir84/+DmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD7uZYqOCwFSvKPMorbv8A8Dv5HNwTkNbifizB5XSrexlVmkp/y21utve091XV5WV1ufaH7Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD0mOCCI5ihRSepVQK/nx/4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6pfB/4zDxBdN4f+HX7R1141vI7hbgxDxPBqM0WcIARByIz6MMZJr5PD8aYKOHjH2Ek9FaKVvl+mnkfU+InAeN4Y4vxOBq4v27TUvaSb53zJS9+9/e111ffrY+v6KZAZmgRrhQJCg8wL0Bxzin19yndXPy4KKKKYHwV/wAHGfiz45eFf+Cd9ynwel1GLTdS8T2tj48uNOiyU0eSKfcsjDmOJ7gW0bEfeD7D8rEH4m/4Nc9f+MVt+1R448N+HYLt/A914QWfxQ62waCO+jmAsd0hHyOVe7CqD8wD8Hbkfr7+2zpWna7+yN8RtD1izS4tL3whe293byfdlieIqyn2IJH415L/AME9vgR8Hf2fPin488G/BP4d6d4b0y58P6LdXFppytiWY3OqLvZnZmY7VAGTwBxivjMww0nxdhp871i36cqeno+vzP2zIfETL8t8IMfw1PBqVWrO6npb3nH3pdeeFvca8tra/VdFFFfZn4mFFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/AATqxeKeKlFtWskgrwP/AIKi+Kvjf4I/YA+KPir9nN9QTxfZeHd+nTaTDvuYITNGLqWIdQ6WxncMPmUruXkCvfKOvWvQr0nWoSpp25k1dbq63XobZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wX/BK74t/Ef4aftk+HIvCHxe1HwjpuvStaeLtRtNXjtFk08Ayv5kk3yDDIpBPzZ4HJwf2T8N/EX4Y+LvFOn2n/DUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H078Dv2M/2Wf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY9JW1tUYMltGCOhCCvhqPBuNjhvZSxbSd7xSbj/wClL56H6p4oeJuWcdcSxzHCYL2cYwjC8uXnk1dtuya0vyx1eiT0vZcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrH4/VqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZHZ2kFhaRWNrGEihjWONR2UDAH5CpKKK6ElFWRk227sKKKKYBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/I6qmKdTCwo2+G+vqFFFFeqcp/MZ/wVf8AiB+0LqX/AAUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6j/s/ftBReNf2efCOqfHL9urUl8Rar4YtpPE+n3PxC0+EGeSIGWN4gBszkgrwRkjg19v/ABR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/98Cvh1wnjliatSOLcFJ30vd/4tVr95+3cdeK2U8WcNZXltHL1TlhYWk3y2uoqNqdk2oO3M07O9l0u/Bv2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19LlGWrKsDHDKXNa+trbu+2p+N4zEvF13UatcKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZhTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEKKKKAOa+Megp4o+Fuu+HZtHTUI73TpIZbNwxEqMMMMLyTtzgDviuD/AGYvBUll4h1/4iTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/wA/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8FXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/wAceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f8Agon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/wCDj/xbq0v7BsXwU8H/AAj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/wC6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P8A2QP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/wCCM3xR1j9qv9sv4sftrftGfBv4m+D/AIs+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/2zf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v8AVdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v8A4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/wBkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P8AxZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wAG+vws/aS+Cfxb/aZ8B/Fb9iX/AIVB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/wCwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/AMfPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/9lL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/wDBDa3/AGg4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH//2Q==", "info": {"equation": "19/19=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "19/19=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7d67b239492eb30f4e0f03ffa87fc8648f41b2ea15b2ea208134ae7e898b8498"} +{"episode": 67204, "episode_seed": 561004979, "split": "train", "timestamp": "2025-10-28T03:49:14.649217", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 561004979, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 0, 4])", "action": "('move', [3, 0, 0, 4])", "reward": 0.0, "image": 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", "info": {"equation": "8*11=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8*11=88", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1a7d3a62ccd9a29b186c141977cda859b50966ef0d77d5267cee87e583320da8"} +{"episode": 67205, "episode_seed": 1543783455, "split": "train", "timestamp": "2025-10-28T03:49:14.700490", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1543783455, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [6, 1, 1, 5])", "reward": 0.0, "image": 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", 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", "info": {"equation": "89-3=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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cMPmUruXkCvfKOvWvra9J1qEqaduZNXW6ut16HzOU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/L5/wAEs/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/4bI/IeJcfDNM9r4mEbKUuu7skuaT6znbmm+sm2Ffzq/8HCfi344a7/wUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx//Y5/Zf8A2p77RdT/AGhfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlYZ/lVXN8D7CnPld09dn5P8/VH2nhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zx/4J/wD7SniPxZ+yF4N1v49/t063p3iWS0mjntLr4gWNtLHbpPIltuRwXBMCxnL/ADNnLck192/sy/EDXfHuqLq+l+MT4g0WewJOppercQyFcIrrInyFiVIO3r83GRx7NHp9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFedg+G8Zh8VTqzxk5KLvZ3s/L4n+Wx8rnfEGHzfH4nE08LGkq05SUY2tHmk3ZaLRXstthaKKK+sPmT4y/4L3+L/AI5+DP8Agm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/4It/GPx78Pv2mLnwdZ/HXUvBXg/WNInn8US2uuw2EMrwxv8AZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yHEZjmdOvTr+zsrdbr/Dqt766n7Xwn4lYHIfDDMeHquX+1nWldVLLlXMkl7RtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/BJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8ABQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACuDIcDUwfEeIpzqubjFXb63s9dXtstT4/Mc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/gq/8QP2hdS/4KSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8wMTjKsrKc/KcY2468+q19VlmPhmeDjiIxcU76Pydj8VxWHlhazpt3sFfnH/wAHMni344+HP2JtF0v4bTajD4X1bxQtt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OV5B+3l4a0Hxn+yn4o8I+KdLjvtM1STT7TULObOyeGTULZXQ4IOCpI4IPNRnFF18qrQUre69V5a/js/I+i4Iz2jwzxdgs0rUVVjSqKTi+vS6vpzK/NF9JJM/Ef8A4IYfF/xR4N8eeNfBurftA33gfwfNo6Xs/wBn8Q22nJcamJo44vnmBLnyfO+VeMAE/wANfeXj34ffsP8AxqtfEfjb40ePvDvxDni8PiDV/EHifxRbancaVpysSoicMFtFEhLBkClnbBJzivoH/gnf8EvhJ8DPE3j7wF8Ivh/p2gaOsGkXH2GxjO0yv9s3OxYlmYhVGSTwoHQAVw3/AAUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzStlWIhw3HFuvJx09zWyvK3e3nsfpPEnHeA4k8SK2ZUac8LCVlzU7e1ajFau0oq8mld8ztppK2vuX/AATm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/690ro6/V8PB0sPCDd7JK73dluz8ZzPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCv5Svj38U/wBps/tj698VvixrWr2XxU0/xn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/9rTxj8f8AXPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r5PjLDyq4ehJSa99L/AMC6+qtp6s/XPBrxCy/gLFZg8VhFX9tSstrpxb913/5dz5vftd+7HRmJe+P/AIP/ABR+F0Hg744ftoTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9T+xpofhz4Zf8FBrn4d/s3aXbab4Wvfh1NffE3QfD1rEumWWoLPbppU7rH8tvdSwm7BUbTJFCjkNgNX01+2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYrzqeVYjA8SYWFTESqNqTu73sk9N3o+p8vguIMPDh/Gx5ZLnTiqSt7K87Jzlr8ULJwSg/ejFuS5bP6sooor9DPz4+Jvjz4x16L/AIKN6v4f+J/iO5stLs/hvaSfDSwvJFhs7oSSytq80RJHnToYbQOOTHFzgKcnxT9mD9orQ9XtfHiaj+27qWk6HafE3V4fBtsnjXT7KM6bujctEhXLxfanuwkhzvQKQSME/oJ+0N+yx+z1+1f4Ys/Bv7RPwo0rxXp2nXv2uxt9SRs282woXR0ZWXKsQQDg8ZBwMdf4d8JeF/CXh+x8KeGPD1nYaZplnFaadYWluqRW0EahI40UDCqqgAAcACvjMTwxjK+Z1cTDEuCl2vf0eq0XQ+6r8S5LPJYUY4a9blhCV1FQioK3PB6yc6lk53Ss+bWXMuX5b/Z+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvA/+Covir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wAErvi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP/pS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthRRRW5mFFFFABRRRQB8Zf8F7/F/wAc/Bn/AATb8V6h8DJtRhkub+1tPFV1pcW6WDRpC63JJHzIhPlo7L0R2zhSxH5Cf8EW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/pA1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8ADXMOGq2BVSpiJNxnpy+8oq87681PlvTtfW21rv5l8CeOvh74y8Xw/wBj/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7uflOMx8cVTjCMFFLt/wAMgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhXyn/AMFP/FXiPw7cfCGy1XXbvSvh9ffEIDx3fwssdvvjt5JdNiupSR5Vu96kIJJCswRSeQG+rKxviH8PfBHxY8D6r8NfiT4Ys9a0HW7J7TVdLv4g8VzC4wysP1BGCCAQQQDXFmWEnjsDUoRlyuStf+unR+R6+RY/D5ZmtPEV4c8FzJrS9pRceaN9OaN+aN9OZI/OPXvjrpuh/t16r4LsP2o7vwposPw2hk8T21j4ls7GGPVkvitqjPICxmNu9yWjz8qiNiBuXPqvgjU/AXxRvtV0vwt8az461jUNOWzurk+JINSu4bb94qIPJ+4gaaRhlfvOeT0r6q+Bf7OPwM/Zn8Br8MvgP8MdL8M6Et5JdHT9OhO155Mb5GZiWdiFUZYk4VR0AA7OOCCI5ihRSepVQK+QhwbipYZUauLfL1ik3H5Xl+h7GacQZbVxaeCoWhGKipSspytvKSV0m30UnZWXM7XdHwhoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK+7SsrHyLd2Ffk9e/GjUtE/wCCevjn4h/FP4q32l/FAXWqTeJbi+mhj1Kx8XJcu1varA2QhSSC3SGILj7PEjKCo3H9Ya8y1b9jP9lrXf2grb9qrWPgfoNx8QrNEW38UyWxNwpWIxKxGdrOsZ2hypYAKARtGPn+IMmr5xCkqdTk5Xf/AIPqraer1R9dwtneUZVGrDH0XNOUJrlUW26fP+7fNa0KnP7zV2uWL5JbHyFovxj+HniPwRp9h8Tf23JtSa70q3Gv6PqPxGsGt7iRolM0MiJjKFtwKgjjjNfVH7L/AINNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/AM+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/APBV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP8Aglb+zf8AtM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/xbq0v7BsXwU8H/CPx/wCLvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/8AZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/AGy/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/AIKi/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wAHF9hcfHP4XRfs3+B/gV+0Hr3xIisre/8AhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/wDBRvwh+0t8Qv2I/iL8P/2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/8AFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8ABVDwB8QtK/btfx/+wp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/wBEkhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8AHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/AODgn9nb4xftMf8ABMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/ABzrGrSIn8TRgAEkCqP/AAQ2t/2g4/h18WLn4iT/ABYb4bz/ABOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/Z", 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", "info": {"equation": "89-3=86", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c33f13d5808e02fc9398648b03d348338b3ed3e6472bc7ef35e2b875ab4bba32"} +{"episode": 67206, "episode_seed": 1994921148, "split": "train", "timestamp": "2025-10-28T03:49:14.768773", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1994921148, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 1, 0, 4])", "action": "('move', [7, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "64+90=154", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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": "64+90=154", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2573166e8de6f0a4afa1123fa522a0775337ec8973e68a0471b329a9e973b5d3"} +{"episode": 67207, "episode_seed": 991784383, "split": "train", "timestamp": "2025-10-28T03:49:14.838432", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 991784383, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 6])", "action": "('move', [1, 6, 4, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "104/8=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "104/8=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2a47dacaf327a69ba88a51812f9b4489f3ce369f184abbd8a83e047f40a3933d"} +{"episode": 67208, "episode_seed": 639185899, "split": "train", "timestamp": "2025-10-28T03:49:14.907478", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 639185899, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 6])", "action": "('move', [6, 1, 0, 6])", "reward": 0.0, "image": 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", "info": {"equation": "84-19=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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4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K8bKMvrYHiScKlZ1Gqd7vrdpWer2PncTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/wCClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfZ16brUZU07XTV1urrf5Hy+V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn82v/AARd+LvjXwD+1JdeHbf456l4L8L61otxL4ourbXobGOdoUY2xeSbKlhLJgY+Yh27Fq/ZX4C/F9vEuuw6D8O/2hrjxxcRX0c00T+J4NReFWwuH8jG2MhT94f3iDXuPwL/AGTP2bf2Zv7b/wCFCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mCszxpPr9r4O1a68KQ+ZqkemTtpse0HfcCNjGMHg5bHB4rTopNXVioS5JqVr26PZn81f/BMXxz+0vf/APBXfwJ4pEusXfjfVfiFInjdru133LW8sjrqpnVx8m2EzluBs28YKgV/SpXxH8FvgJ8GvDH7c0Xxx0D4c6dbeLtc+Jfie31XxAiMbi4iEeqjaSSQo/dx52gZ2jOa+3K+U4RoOhhK0XJu1SS18ra/PqfrPi/xzguO85wmKw2F9gqdCEWtLt3btp9mN7Q621sr2RX4K/8ABzf4o+Ml/wDtt6J4S8YS36+DrDwjBN4Ogkj22rySsftkiEcPIZERWJ5ASMcDGf3qryL9rT4Q/sVfFfTvDUX7Zuh+Cru2sdaz4WPjK/itl+2uB+6hMjp5jOFGYuQ20ZU4GPTz7Lp5nlzoRnyu6d3tp0f9b2PO8JuMcNwNxlTzOvhnXjyzjyxSc1zL4oX66We3uuR8BfsffGDQviR+xF4O0H9oz9sq+juNT8LtZ674du/iDZ2cbWW6SKO3kjXa8aNbCNSNwYhjkgk17t+wj4T8B/DT9uvX/Bv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN9V/tG6Xpsv7O3jy1k0+Ext4K1RGTyxgr9klGPpivEP+CcfwL+D/AMAPE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXzFLKMRl/EGFjUxEql1J630sttW9GRV4ow2MwOZ1o03TVeTtSjb2S55Xu9VrT05Eo7pPmXLZ/VFFFFfoB+cHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8ABHn4o+MPBH7Ztv8AZ/jHe+ENI1rR72PxXq8Osw2ZlhWJpY1eacEDNysPT5iT6E1/S7XxD/wTf/Z/+Cvwj+K+neIvht8NdM0e/wDE3w6urvX7u2jYyXs32jTW3OXJx80jnAwMseK+Q4lwVTF5rhIwquDlzJNdLK91qtXsfr/AvH2A4b4EznKK2DVWeJUeWTtZXXL719fc+OFr2nfbc8w+L3h39jv4o+GvE/xL+KPxf07xrqej+F2H/CUap4st9Qv9At43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/AMFI/wBn/wCCnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xdOdRzceVNvrdN3er1Wx8hnecUsXw5hMMuZu8pe9a1NL3VCnq3aWkp6R1UUo+7dy1+dX/BzD4n+MWgfsH6Zp3w9mv4vD2q+Mbe28by2UeVNp5bvCkzDlY2uFi9iwRT1AP6K1zHxo8K/Cbxt8J/EHhb472GkXPg680uVfEkevSrHZi0C7naV3IEaqBu35G3aGBBGa+lzLCyxuAqUIy5XJNX/AK6d/I5OCs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8SP+CGfxm1rw78LfG3g3xl+05f+CvDlnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv8Awx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfvf9nP4ffs7/D/AODejeGP2YdI8Ow+B4UlfRB4auI7izcNK7SOkqMwkzIXy24nOeeK+W/AHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/BYjIcTl7wnPiXJOpBJK9o36x1+7RH6Dm3HmDznjLMs2hQlQjNSfs0l79ko8tZXSSlrKppPVuKWvMvt+iiiv0s/Fj4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv/aZv9A1P49/B3RfFVx4XvGutBl1W3Lm0kYoWxgjcrGNCUbKtsGQcV35s7QnJtYyf9wV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCiiiu4wPOP2mNH/ALU8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/18zpliXLCqhbZ3uFFFFekcwUUUUAFFFFABRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP701598ff2U/2dP2pbTR7H9oT4Q6P4si0C+N3o6atAW+zSkAMVwRlWCruU5Vtq5BwKxz3Laua5e8PTnyu6fk7dH/W6R994V8bYHgDi+nm2Loe2gozjZW5o8y+KN9L9Hqvdcj88/2NP2gV8f8A7IPgy6/aI/ba1L+2dS0Fo9d0fVPiBZQiSAySIkUsR+cBrcRhgx3EMSTkmvu39lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2NiihEs4gAMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WPms6z2lm2KxFWnh40lVnKfLHaN5OXKtFotl5BRRRX1J86ed3/AOyZ+zdqf7QFv+1RqHwc0Wb4hWtn9lt/FT25NykXltF67S3lsybyN207c4AFegLa2qMGS2jBHQhBUlFRCnTp35Uld3dur7vzOnEYzF4tQVepKfJFRjzNvlitoq+0Vd2S0QUUUVZzHlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK+azrI8TmmLpVaVZw5E11ur9VZrXo9VofYZJnuVZflNWhiaHPU99w0jaTnBQ99vVKnbnhZS96692/MvmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc+dxuNWLUUocqjfbz+4K/Or/AIOYfFHxi8P/ALCGmad8PZr+Lw9qvjC3tvG8tlH8ptPLd4Y5mHKxtcLF7FginqAf0VrD+JPw28B/GHwHqvww+J/ha01vQNbs2tdV0q+j3RXETdVI6jnBBGCCAQQQDXfmOFljsDUoRlyuStf+unfyPZ4Mz6hwvxVg82rUvawozUnHTVLtfTmW8f7yR+IP/BDr45+J9H+FHjDwN48/an1Xwd4Z0rU7Z/DGmr4ttdPi86YTNdmNZgWIyISQPlBYkcs1fpj+zDofhH4geL9D8R+DPG//AAkVpo+sXOo3Wt22qRXv2m6aCeJ/OmTKlz9oJIGDwO1e/wDwf+B/wk+APw9sPhT8G/AGneH/AA7pnmfYdKsIcRxF3aRz8xJJZ2YkkkkmuojjjiXbFGqj0UYr5jB8KYijUozq4pyVNqXLZ2uuiu9Pu2Pb4640wnFfE2NzPDYVUo13otL2so3lZfFK3NLV+83q9x1FFFfaH56FFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAU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"info": {"equation": "84-19=65", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e8b1c617a3419ea974203b34b26a3771f8bb9e27ec45ce844851bc8f587614e0"} +{"episode": 67209, "episode_seed": 2393738213, "split": "train", "timestamp": "2025-10-28T03:49:14.978538", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2393738213, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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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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Dwe1eNxFTdXJK6Tt7t/u1t87WPtPDfiLDcJ8b4LNa9L2sKcneOl/ei43V9OaN+aN7aparc84/4IPav8S9Y/4Jg/DuT4mQ3CvbpeW+htcwCNn0xLmRbYgDGV2DCseqhTyME/YNeZ/sc6NpXh39mnwp4e0HTobOxsLKW2srS3QLHBDHPIqIoHRVUAAegr0yuzLI8mXUY3vaMfyR4fE2ZU854jxmPhTVONWrOaitoqUm7fK5+Rv/AAdUeI/ixa+DvhP4V0+W9TwRe3+oz6qIk/0eXU40iFsJGH8Qie4KqeuXIzjiD/gn98XdH+Jn7BHhnwl+0v8Ate36R3WmXOl3vhjUvH9taRS6SkjwQ20keVlETW6qhBYMyHrg1+mP7Vnw7/Zc+JvweuvDv7YVh4Yn8FJeQT3LeLb9LW0iuFfET+c7oI33NtBDAncV5DEFfjz4V8HQfspeMvDGj6HYpoyfD7ULS1s7aJRALUWMiLGgXgJswABxjpXzeZ8P4nFY+tiYYlwTitFe+itZ6rTT89D9Cn4gYSfhvl3DywfLUoVpT9tprq37r35/fXNqrKMNdfd8F/4Jx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/AHtv8D4PivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3ZXzl+254psvh7b3Xi3Q7P7Vq401EtbBFT/Sr2SQQ2kXzMoLPK6JgkcY5r6F1XU7PRdNn1bUJdkFtE0kreigZP1NfMDeE7/8AaX/aCnN3DKuneGLBtcYs6qrahL5lvp0Ryh3CONLmRsEEMITznjh4qf1qhTwNNc1Sbul2UU2389vmzjyleyqSrydoxVvm/wCrnsn7Jth4O079mzwXH4EuTPp8ugw3H2mSNUluLiUeZcSyqjMFmeZpWkAJw7MMmvQ68R/Y5GreGB4n+Hl2F/s5NYk1XRFDqDbrcnfdQFAikYuvNlBJbIuMZG3Fe3V7WU4uljcup1aeiaWnZrRr5M4sXRlQxMoS7hRRRXonMfzt/t2+Ov2pX/4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX84H7d3xQ/aJ0b/gtP4n8X+IfFGp6P4m0f4nR2nhy+lZIHsdLWUR2bRF/kSM2jI4Y8ESFzyxNf0f18b/GX4I/CXW/2+Lb44ax4A0+58W6V4j8OWWm67MjNNb27eXuRRnaM+Y4zjOGIzUcV4eWIwtFRm4/vIrTz0v6rdFeFXG2C4Kx2Oq4nCquq2HnTSdtG7Ozv9iW01va2jtY8z8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/9U8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/4F/B/43yeC/D3xb+Hmna/Y2K6rfWlpfRtsS4SKAK+FI3YDMMHIOeQa99+Cv/JHPCXA/wCRZsOg/wCneOufIcDVwWdYmFSq5tRhq+t9e72tZanzWZ5vSxHDFDCrmb53Kzty01HmVqer+Ny5p6RV4x+LddNXlf7Ufwo/Y/8AijZeF4v2udE8H3cFj4jifwn/AMJbexQKdSYHZHCZHXzXcD/VfMH2jKnAx6pX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n288x8Muy6VaUOdXSs9tX1/rex6vhXwpiOM+M6OXUcU8NJxnL2kb8y5YvSNmrt7PVe7zPpY/cX7Jahtwto8567BUlfm9+x3+0tfa58E/h94l+J37a+oXfi7UPD9o2raNqPjuyPm3Use3y3gAD7juHy53bsd6+//hPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/+Dm3xH8WNF/YW0TSvA8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0cryH9uvwR4T+JX7M+seAfHmgw6po2rato9vqWn3G7y7iI6pa5VtpBxwOhFdudU3VyivFO3uv8Ff8dj0eBs8ocNcYYHM61L2kaVSMnHutrq+nMr80f7yR+W//AARs+PGrp+yG/hz4o/tf6r4XtdH8R3Nn4Y0c+NbSxWKw8uOQ7I5QX2+fJNgnjqBwBX6c/sgeF9EjivfHPhu4WXTbrR7Gw0yW2lWS3lt4jK6NG4zvGJR8wJBGKm/YT8A+Cvh3+z9B4E8D+GLPTNH0nX9UttN0+1ixHBEt5LhRnJ9TkkkkkkkmvZlVVAVVAA6ACvAyLIq0Hh8bUxEpJRuotaLmjsnd7X7dEdvG/E+H4h4hx2LoYdUo1qkpWVr25r62XxPeXm2LXh//AAUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DX11em61GVNO101ftdbny2V4yOXZnQxcqamqc4ycXtLlknyvydrPyP55P+CGXxg8T+DPiR4z8Gap+0LqPgjwjcaIl9cJB4jt9Pin1FZo44jmYHLeU02QvUKN33Vr760vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+zf2U/hJ+x78L/AAbq+m/se6B4OttDudfml1n/AIRG8iuYf7RCIsiSOjuFdVCDy8jaCMKM14f4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfnU8gxOX/AFRzxDknUiklflV23da+XZbn7JxT4hYLiPjPH5rTw86EZUmuSy5qjUFHlrapcr3l8WiUba8y+xaKKK/Sj8MP5p/2fPi58f8AS/8AgrX/AMJt8T/iLq3hjxbqHj2+tPHGrz3cVlPaQtI6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/wCJbbVdQ0V0YyWpslQ4hla78rbtXdLJsjO4EIfv3w9+y9+z54U+N+t/tJeHfhLo9p468R2S2mt+Jorf/SbuECMbWOcDIhiyQAW2DJOK+c/+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzPM+HMVgMBUqyxLceZPl1s7ySTeu/V6fM/euIPE/LOK+KcDjaGGlho0aMYS5OXmbgnJxVml7O/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+lxXLFI/Ca1RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8AC3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3PyN/4OqPEfxYtfB3wn8K6fLep4Ivb/AFGfVREn+jy6nGkQthIw/iET3BVT1y5GccSf8E4vjunin9iHwhp/x8/bGv7a4+xXGnyeHdS8dWdvGdMjleGCB4W+fyzAqrgkMV78g1+nvx1/Z9+C/wC014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6Eiuk0bw14e8PaPaeH9C0S1tLGwto7eytLeBUjgiRQqIqgYCqoAAHQCvlsfw3i8ZmVTEwxLpqSSsr30VrbrTr82fqmJ8Q8ur+GmB4ZWCXtaFWc3U0s0+Zq2jfM+a0r6WhHfaPnv7MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c/L8RWeIryqWtcqa9o1p4h0W60O+z5V1A0bleoyOo9x1rO+H3ge08AeHxodtdtcM0rSzTsm3exwOnOBgAfhW5RWksLh5YlYhx99JpPyZKq1FTdNPR62OY8H/AAu0rwd4l1HxJZ3jyNfEiOJkAEKltzKD3+b9APrXT0UUYbC4fB0vZ0Y8sbt2827sKtWpWlzTd2FFFFdBmeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/9n3Xfjxp/7T2sfCbR7jx9pemmw0/xRJb5uYbciRSgOcZ2yyLuI3BXIzjiuPPcprZtRpwp1ORxknf+uq6H0HDGcZZlFWpLG0vaJpNJKLvKLuoS5tqc9p2u1o7StZ/LHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77njYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAK+a/wDgoh4i13RdT+Edhdavc2PhS/8AiEY/Ec8RCQy3C2Nw+nQzuT8sb3ixYHRpViXksFP0pXP/ABU+FXw6+N/w+1T4U/FnwhZ694d1qAQ6ppN+haK4QMHAOCCCGVWBBBBUEEEVw5lhJ47AVKEZcrkrX/rp0fkerkmNw2X5nTr4iPNBXTsk2lKLi5RT0co35o3a95LVbn55/Cf9oHw9P48+Jum337Z99oOkad4+lg0DT7fxpY2UKJ9ktpLoRqwLOgvHuRvJOSGGeK+4f2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXW/Dr4XfDz4SeBdK+Gfw28H2Oj6DolmlrpWmWcIEdvCvRRnJPckkkkkkkkk1uqqqAqqAB0AFeJlXD2LwGIp1amKlNRVuXW21u70XTTojsznNsFjq1RYagoQdknpzWikrysrc0rXlq9W9xa8P8A+ClfiP4seEf2Cfit4k+B8l6niez8HXUmnTabHuuIlwBNJGOodYTIwI5BXI5Ar3CkkjSVGilQMrAhlYZBHoa+kr03Woypp2umr9rrc83K8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88n/BDL4weJ/BnxI8Z+DNU/aF1HwR4RuNES+uEg8R2+nxT6is0ccRzMDlvKabIXqFG77q1+vH7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfaPgT+zB+z7+zJ4ev/AAp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFd1HFHENsUaqPRRivj8BwpicNOjKriW1CSly2fLdO+l3+nc/QPEjj3A8acT4nM8JhfZRqqMVe3M7RUbytpd277Jdh1FFFfan5gFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/FBRRRXoHOFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/AO2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/wCE3jP4DfsLfBz4J/EWPZr/AIT+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/ADIeOh5rtK+Rf+CFOvale/8ABLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/AGsPiv8ACD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/ALY9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/wCC6Pwd8U/C74P/ABcjvfANvrVl8Q9a8S6Vcf8ACGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8ABKZf2k0/4J3/AAnX9rxtZPxC/wCEYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/AH+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/ABn/AGN/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/8ABvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/wCCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/AIb/AA/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8Fmvh/wCN/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/9k=", 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", "info": {"equation": "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": "08a9dfd7921d3f7278ff36321c7729b644353b2381aacbdb37d5c5f9c75d7d9a"} +{"episode": 67210, "episode_seed": 2868827190, "split": "train", "timestamp": "2025-10-28T03:49:15.041664", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2868827190, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 1, 4])", "action": "('move', [4, 0, 1, 4])", "reward": 0.0, "image": 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", 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mK5YpH8r1ZqrVlNJK7bstlfovJH8+P/Bf34k/tAaB/wAFVrrVrrXdW00eFrDR7j4aXMeYhbQiKObz7cjgn7b9oy/XdHtPCAD9FPhn8UvB/jOLw1B4l/atl8V661rBKNBv/G9ndj7e1viQpBFgl13SgAZwCeK7P/goD8EvhN8SPjvpnjzx74BsNV1fwp4Utbjw5f3iMzWErX0xLoM7ScohG4HBUEYNfYa2tqjb0towR0IQV+ff2FXzHM8ZCOIlBcyut0+ZXs9Vtt6H67xZ4gYDOeFckwFLBqE8JScJS095rlV42V7Pl55X+3J+r5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfe0KSoUY019lJfcrH5BOTnNy7n5G/8HVPiP4sWvg/4T+FtPlvU8EXl/qM+qiKP/R5dTjSIWwkYfxCJ7gqp6guRnHFP/gnl8UPDfjz/AIJ/+FvAv7RH7WV3aWs+l3OlXXhO88d2ljA+kpK8MNs8QKyLE0ChCCwLIeTzX6bftWfDv9lz4m/B668O/thWHhifwUl5BPct4tv0tbSK4V8RP5zugjfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfJZnw/icVmFbEwxLgnFaK99Faz1Wmn56H65PxBwk/DfLuHlg+WpQrSn7bTXVv3Xvz++ubVWUYa6+74L/wTj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv8AhB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1eGYOGR0Fe+l/vbf4HwfFeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5Wvbmlu/n3/AIKXeINe8Ofs3W9zZ6vdafok/jbQ7fxrqFpgfZ9Fe+jW5Mjn/Vwt8iSvxtieQkgZI4f9mnx18SNR8d/tAWvww1CbU7XSfDulvoiRwRSwReJfsd551vG4++/lJpjPGx+UyL03V71+1dpen65+zH8QdE1azS4tL3wbqUF1byDKyxPbOrqfYqSPxrzz/gnn8Jvhr8EfBnjD4dfCXwZZaBodr4sWSDTbBWCK8lhaM7EsSzEnuST0HQCuTFYeUuKaM+dq9OWnpp+t/VI78FmmXUeFqlGdHmqqas2lytOUJNt/FzLkcErWcZvWPLaf49/8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/wARr+gevj39jn4J/Cb4e/tc6/8AEnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FVcJ0XRyyUXJv35b+Tt+l/Vnv+LfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bIri/jv4ui8K+AriM3KxSX2YBIzYCR4zIxOeAFB57ZFdpXzP+0rezfHjx9o/wAFNCaZrPX9SGlXs0bBfLsFDTajJko4G6CNoVyOXlTBGcjqz/FTo4H2NJ/vKr5I/PRv5L9D89y+kp1+eXww1fyOy/Yk8Gm0+GNz8X9Ts/L1Hx/ejVgXiQSR6cFEenwkqzZAt1SUjPD3EvAyRXs1MgggtYEtbWFI4o0CxxxqAqqBgAAdAB2p9ephMNTweGhQhtFJfcctarKtVc5bsKKKK6DM/ET/AIOnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv8A7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w/wDwUi+Cfwm+Ocngrw78X/Adh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/Is2HQf9O8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq/DT/AIOkfEfxYn/ao8B+E9bkvV8FQeCjdeH4mjxbPfvcyreMp/jkCLaA55UFem7n9y64T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCvSzvLqma5fLDwlyttPy0ez/rc87wv4ywfAXGFLN8VQ9rCMZxaVuZc0Wrxvpfo/wC62fnv8AfH3gH47/sueAvDP7TX7UbeJLzVtD0yXXfBmu+N7M213dKUeKCa0TaXAkWM+SeCygMp5FfT/wDwS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P+3F4E8HfED9mbXvBXjTw5bajpWq32lW2o2M6kJPE+p2oZCVIOCPQg1R/YG8B+Dfhh8CZfh98PfDltpGiaT4l1CDTtNs1Ijgj83OBkknJJJJJJJJJJNfO5bllfL+I4wqV5VH7Nu77c1rbvTr6mOP4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1WZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P8Ag/4VeH/DPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel14f/AMFK/EfxY8I/sFfFbxJ8DnvU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+fH/ghl8YPE3gz4keM/BmqftDaj4I8I3GiJfXCQeJLfT4p9RWaOOI5mBy3lGbIXqFG77q1+vH7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOcz/AIJi/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Ar61jijiG2KNVHooxXwXD+Q1sThsPi5YiXLF8yh0vFvbW34dT9G8UON8HxZxbisfhsN7ONRRjrbmdoJXlbRt+uyXYdRRRX6EflR+b/AMAfib47uX+CzJ4tv7n4j6t8Xp08aabNHE12Z996NbhuITzDFbxSPjAHlqttj76bvhv/AIOIPF3x0f8A4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv0++HPwR+E2if8ABQe6+OWl+AbCDxfq/jTVbLUvECqxuJ7ddLlCxnJIUYjj+6BnaM5pP+CinwT+E3xP+Lul+MfiD4CsNX1Pwp4Ne78OXl4rM1hObonzEAIUnKIfmBwVBFfmNTBzjw/iI+0fu1/vs1H8b39Uj994R8Qcj4Y43hmccFzwnQqJxtFOM6j57R6ckbezT0bhKT5VfkPqj4VXni/UPhf4b1D4g27Q6/PoFnJrkTxhCl40CGZSo4UiQsMDgVv0UV+mxXLFI/Bqs1Vqymkldt2Wyv0Xkj88v2x/ifP4Y8f/ALS1/wDEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtdB8FPjzZ31tocNx+2Lea94g1DSYY7rRJ/HNncmS6aJWlVIYgGLhg2Ap4wa+sfiT+zD+z/8YPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8ZW4WxtbF1qscU4Kcm7K+z6PVbbLyPsMfxFlNbAYenRw/7yMYqbaiknGEYJRau2pcrnJtJ80rWduaVLwhNq1x4V06fXUK3j2cZuAwwd20ZyOx9fetGiivsaUHTpxg3eySu+vmfGylzSbta5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8pj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rnz7/wAFLvEOveHP2bre6s9XutP0Ofxtodv411C1wPs+ivfRrcmRz/q4G+RJX42xPISQMkfLll8eNGsf2pPiJ4Tm/a0vPCujWOl6LI1hZ+LLKwhXVXS4W5C+YCzuII7LcM/KSBxmv0W8U+GPD3jbwzqHg3xdo1vqOlatYy2epafdxh4rm3lQpJG6ngqysQR6Guf+CvwB+DX7Ovw+tfhV8Evh1pvhzw/ZSyy22mWER2K8jl3YliWZixPJJPQdABXiZtkOKzHMY4inXdNKNtL336Wa0fXXofUYDPcrwvD08JVoc1a7s7R5bScG5Nv3uaPI4pWs4zeseW0/Jf2P9E8N+IPEUHxB8J+Jf7Y0+00i8t4dWt75LqK8kuLiKSWRpkyJJC8LEkH7zNkdMfRNIiJGuyNAoHYDFLXq5Tl39l4NUOfnd27vS93fz/M+bxeJ+tVvaWttp6BXL+CfhdpXgjXtR1yyu3la+YiONkAECFtxUHvz39APcnqKK6quFw9erCpON5Qu4vtdWZjCrUhCUYvR7hRRRXQZhRRRQB5R+1H4bfXLTR54tJM0iNcW8dxGjM8ZmVF2jHHzbR1HVRXongvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1adFefQwCoZhWxXNd1FFW7cqt+J0VMQ54eFK3w3/EKKKK9A5zkfjtpI1v4XalYtpoulDQTGIgnBimSQOMd1ZA3/AAGqX7OvhM+E/hyA4mDalqNzfsswwVMr5wOBxgAjPrXd0V5/1BPNPrvNryclvne50fWH9V9hbre/ysFc/wDFT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFd8oxnFxkrpmdGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/wCHvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+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", 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", "info": {"equation": "280/14=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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gqCMGvsNbW1Rt6W0YI6EIK/Pv7Cr5jmeMhHESguZXW6fMr2eq229D9d4s8QMBnPCuSYClg1CeEpOEpae81yq8bK9ny88r/bk/V838FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivvaFJUKMaa+ykvuVj8gnJzm5dz8jf+DqjxH8WLXwf8J/C2ny3qeCLy/wBRn1URR/6PLqcaxC2EjD+IRPcFVPXLkZxxT/4J5fFHw348/wCCf/hbwN+0P+1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/AIW8Nxf8E2rzwxDoVqmnJ8LtQtEskhCxrALSZBGAOihPlwO1fDZjldfGZ9X5K8oe4padVty7rTS/zP2CfH2Bn4Z5dkEcKlVoV5TdVWvq5NOPXm9+z1XwRs/5fP8A/gnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdfQ8MwcMjoK99L/e2/wPz/ivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3fz7/wUu8Qa94c/Zut7mz1e60/RJ/G2h2/jXULTA+z6K99GtyZHP+rhb5ElfjbE8hJAyRw/7NPjr4kaj47/AGgLX4YahNqdrpPh3S30RI4IpYIvEv2O8863jcfffyk0xnjY/KZF6bq96/au0vT9c/Zj+IOiatZpcWl74N1KC6t5BlZYntnV1PsVJH4155/wTz+E3w1+CPgzxh8OvhL4MstA0O18WLJBptgrBFeSwtGdiWJZiT3JJ6DoBXJisPKXFNGfO1enLT00/W/qkd+CzTLqPC1SjOjzVVNWbS5WnKEm2/i5lyOCVrOM3rHltP8AHv8A4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7CquE6Lo5ZKLk378t/J2/S/qz3/ABb4xwfHHFMMww2H9jFUacLaXbSbbdtNOblj/djHbZFcX8d/F0XhXwFcRm5WKS+zAJGbASPGZGJzwAoPPbIrtK+Z/wBpW9m+PHj7R/gpoTTNZ6/qQ0q9mjYL5dgoabUZMlHA3QRtCuRy8qYIzkdWf4qdHA+xpP8AeVXyR+ejfyX6H57l9JTr88vhhq/kdl+xJ4NNp8Mbn4v6nZ+XqPj+9GrAvEgkj04KI9PhJVmyBbqkpGeHuJeBkivZqZBBBawJa2sKRxRoFjjjUBVUDAAA6ADtT69TCYang8NChDaKS+45a1WVaq5y3YUUUV0GZ+In/B074h+K8n7Qfw48JanJer4HTwhLd6QhjxbS6o1zIl0dw+/IsItBg/dVxjG85/VL/gnNrHxN1/8AYS+E+r/GKG5TxHP4HsDqIvIBFKf3QEbOoxhjGEJ4ByeQDmuH/wCCkXwT+E3xzk8FeHfi/wCA7DxDY2C6rfWlpqCsUjuEigCyYUjOAzDByDnkGve/gr/yRzwlwP8AkWbDoP8Ap3jr5fLqDhxJjJczekNPVfpbT1P1PiXjXB5x4b5RkVPDKE8NKo5T01u/s9feved95RT16dNX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5dcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXpZ3l1TNcvlh4S5W2n5aPZ/1ued4X8ZYPgLjClm+Koe1hGM4tK3MuaLV430v0f91s/Pf4A+PvAPx3/Zc8BeGf2mv2o28SXmraHpkuu+DNd8b2Ztru6Uo8UE1om0uBIsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+dy3LK+X8RxhUryqP2bd325rW3enX1McfxBh8bkOKUYOHtqt1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/wDg5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/wRq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw//gpX4j+LHhH9gr4reJPgc96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcKo+Jiw8N6gV6ixlx/3wa+lr03VoSgna6av2utz5nK8ZHLszoYuUFNU5xk4vaXLJPlfk7Wfkfz4/wDBDL4weJvBnxI8Z+DNU/aG1HwR4RuNES+uEg8SW+nxT6is0ccRzMDlvKM2QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc5n/BMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFfWscUcQ2xRqo9FGK+C4fyGticNh8XLES5YvmUOl4t7a2/Dqfo3ihxvg+LOLcVj8NhvZxqKMdbcztBK8raNv12S7DqKKK/Qj8qPzf+APxN8d3L/BZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wcQeLvjo//AAU/FhqM2qJZaLoukv8ADiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8ABRT4J/Cb4n/F3S/GPxB8BWGr6n4U8Gvd+HLy8VmawnN0T5iAEKTlEPzA4KgivzGpg5x4fxEfaP3a/wB9mo/je/qkfvvCPiDkfDHG8MzjgueE6FRONopxnUfPaPTkjb2aejcJSfKr8h9UfCq88X6h8L/DeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/9pa/+JPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa6D4KfHmzvrbQ4bj9sW817xBqGkwx3WiT+ObO5Ml00StKqQxAMXDBsBTxg19Y/En9mH9n/AOMHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+MrcLY2ti61WOKcFOTdlfZ9Hqttl5H2GP4iymtgMPTo4f8AeRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXPlf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/9nr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5TH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/ANv5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta58+/wDBS7xDr3hz9m63urPV7rT9Dn8baHb+NdQtcD7Por30a3Jkc/6uBvkSV+NsTyEkDJHy5ZfHjRrH9qT4ieE5v2tLzwro1jpeiyNYWfiyysIV1V0uFuQvmAs7iCOy3DPykgcZr9FvFPhjw9428M6h4N8XaNb6jpWrWMtnqWn3cYeK5t5UKSRup4KsrEEehrn/AIK/AH4Nfs6/D61+FXwS+HWm+HPD9lLLLbaZYRHYryOXdiWJZmLE8kk9B0AFeJm2Q4rMcxjiKdd00o20vffpZrR9deh9RgM9yvC8PTwlWhzVruztHltJwbk2/e5o8jilazjN6x5bT8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z5vF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8AEKKKK9A5zkfjtpI1v4XalYtpoulDQTGIgnBimSQOMd1ZA3/Aapfs6+Ez4T+HIDiYNqWo3N+yzDBUyvnA4HGACM+td3RXn/UE80+u82vJyW+d7nR9Yf1X2Fut7/KwVz/xU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRXfKMZxcZK6ZnRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YV45/wUG1zx74b/Yu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP8AnolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2NZ16brUJU07XTV+11udWXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+VVx8b9W0D4Q/C/WPFHx0v8Aw5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/wDpN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", 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", "info": {"equation": "280/14=20", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9fb2af3279a5e15d40f45b2d8fd1b01a2736390ba03d5a1a728f1283625ab3b6"} +{"episode": 67211, "episode_seed": 3239278546, "split": "train", "timestamp": "2025-10-28T03:49:15.101090", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3239278546, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [5, 4, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7*14=98", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "7*14=98", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "04a0432cb7cd5a362e2b016cd6be70f91a920617e99d6168c428201a26770b8c"} +{"episode": 67212, "episode_seed": 1885825527, "split": "train", "timestamp": "2025-10-28T03:49:15.171275", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1885825527, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 6, 1, 7])", "action": "('move', [7, 6, 1, 7])", "reward": 0.0, "image": 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", "info": {"equation": "4+4*9=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "4+4*9=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "fef7a091ed9500a1df8ab03bd7e4d9007d9a8e5e61bb43b66653a6d5587a070e"} +{"episode": 67213, "episode_seed": 3968563868, "split": "train", "timestamp": "2025-10-28T03:49:15.218011", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3968563868, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 7, 0, 0])", "action": "('move', [1, 7, 0, 0])", "reward": 0.0, "image": "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"image_prev": 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", "info": {"equation": "7-2=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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0yPBYbD5eoOL5nKfK3H3bckGk/cd9W+W/LH3VY+Sfh/4q+Fvirxddaj4f+OUHjbxFPp8cM1zceKbfUbxLOJ2KxgREbYlkmY/d+9LyeQK+mv2Xvhifhn4G1LzftSza/wCI7rWJ4rsANE82xdoGAQuIxgHJ5616MltbxHdHAin1VQKfX2OUcOSyzHSxVSu6kmrar03d3fY/n3F5ksTQVKMFFJ/10QUUUV9OeWFZPjvw54K8X+C9V8MfEfSdPv8AQL6wli1mz1aNHtpbYqfMEof5dm3Oc8DrWtX5j/8ABzf8Qf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/BNb4Z65ruv/ALDehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/2Kz/59Iv8Av2K/lA/ZL+MPxz+Cfxz0bxP+z18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/AIWbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/AIY5jwjntJ1cweK9tG6lUb9quWytK7lp/I762at7t394pFHENscaqPRRinV8zfCb4teJvHdzp2qfDr4kN4piRktRd2uppdwz7CoYSvESmc43twRu7Zr6Zr6TJs6pZzCcqcHFRdtet/61XQ/GMZgp4JxUpJ37BRRRXtHEFfzj/wDBefx/+074m/b98T+FPj5caxFoWi3ci/DrT7yExWi6S5G2e3UfI/mFfnl5ZmTaxGwKv9HFeO/tl/B79iD4r+C9KP7cmi+CZdEsNTP9jXvjTUorJIbp42zHFO8kZBdEYmMNhhGCQdgI8LiHLJ5rgPZRqclnfXZ+v5+p+q+D/HOF4C4r+vV8I8QpxcPdSdSLevNTv1duVq6vFvXo/wARf+CH/wAcPiP4P+IfiT4c6j+0JqHgn4fPpcuo3awa9a6fHLqxeCKI+ZMNzMYkkBVeMKCe1foP8Sta/Zl+M/ho+CPjZ+14PF3h550mu/D2ufE+2NldsudgmSF4zKqsQwVjt3KrYyox9ufs8fDr9nr4d/CDR/DP7M2heHLXwUkTS6MPDMkc1nKrMS0iSoWEpLZy+4knqa8//wCCkfg/wt4x/ZC1zwj4o0G2vdM1TxF4btNQs5k+WeCTXtPR0OMHBViOCDzwa+bq8L4zD5bJvGS5Yxb5Vfl2vZe9s/T5G3GPH2F4o47nmuHwv1W84pONlUXK7c7ty/vOr95apLm05j458c+GvCfwH/am+FUn7E2hWegfErXPGFhZeJfDfgiwgSPUfC5cG+l1C1jARIYo8vHOyqd+cMSAK/T+vg79lb9l/wDZ7/Zz/a/8CS/A74SaR4ak1TS9eXUZ7CNzJOqQWxVWeRmbaCSdoIGecZr7xr0OCabjlTm5N3k9Oit29ep87xxm+HzHEUKFFymqUWvaVElUnd3tJKUrRhtBc8rK7vryxKKKK+xPhgooooAZdNcLbSNaIrSiMmJWPBbHAPtmvkW/+Alv4u8Nz/Aix8P3OlWV1H9la1sYyDZxNIGJUuGwoJ4ZsjketfXtGB1xXhZzkcc4nScqjjyO9kr3vb7npvr6Hfgsc8HGSUb8wUUUV7pwBRRRQAUUUUAFFFFABRRRQAV5T+3Hr/xy8K/si/EHxF+zVY3Vz47s/Dc8nhmGytFuJjcDHMcbZDuF3EDByQMAnivVqKzqwdWlKCdrpq63V+qOvAYmOCx1LESgpqEoy5ZaxlZp8sl1TtZ+R+cPwU8ffs8WP7G8GtTfGKO48ONoUq+KPEOtaxGb4311GZLs3Zkb5b55JmYxPhi8gG3kCuM/YY/aR1XxL+zJoGq/GT9urW7DVfNuorS2vPHGnWMo0+Od0sy8GwGNjbrGSCAfUV9yeJf+Cb37CvjD4zP+0H4m/Zg8K3njCXU49Rm1iazOZbtMETPEG8p3yoYsVJZvmOSSa9pNnaE5NrGT7oK+EwnB+PoSm1i3C7+ze79dVr9/qfc5zxPw9XwsoYTDynOpNTlKooJ07KXuQcb8ybk3KVoX5Y+4rHx18M/jlpWsibwl4P8A2n5vF1yz/a2hPi63vrmJBtQkeRhhGCRnIxlh6ivqj4XXnie/8F2tz4ujdbxt2TKpV2XPBYHofbAreS2t4jujgRT6qoFPr3cpyPEZbipVqmJlUurWd/v1b+R8Zi8dTxNJQjTUbPp/wyCiiivojzgrO8X+EPC3j/wvqHgnxv4es9W0fVbR7bUtN1CBZYbmFxhkdGBDAg9K0aKTSasyoTnTmpwdmtU1un3R5L+zx+wj+yD+yhrOo+I/2efgFoPhfUNWtVtr+/soXeaSFW3CIPKzMqFsEqpAYqpOdq49W+xWf/PpF/37FSUVFKlSoQ5KcVFdkrL8Dpx2YY/M8Q8RjKsqtR2vKcnKTtorttvRaIakUcQ2xxqo9FGKdRRWhyBRRRQAV/OP/wAF5/iB+094m/b88UeE/j5c6xFoWi3ki/DvTryExWi6U5Gye3UfI/mFfnl5ZmTaxGwKv9HFed/tE/sl/s3ftZ6Jp/h39o34P6P4stdJumuNMXU4m32sjLtYpIhV1DDG5QdrbVJBKqR4ef5VVzfBexpz5Wnfyfk/z9T9R8JOPsB4d8TvMcZhfbQlBwurc8L2fNC+l3blaurxb16P8L/+CJP7Q3xc8O+Nta+E+vftL6x4P+G1rpE98tqviW3sYE1R5YVTy2nBILIJiVTgkZbnBP6L6j8Vfgp4hiisPGf7aI8QWEd3BctpWtfEWxltpZYZVmhZ0XaW2SpHIOfvIucjg/afwh+B/wAI/gH4Asvhb8G/h7pnh3w/p277JpenW4WNCzFmY5yWYkklmJJ7mum+x2f/AD6x/wDfsV4VPhLHRw6pvGyStayTt5r4lp8jPj7j3L+L+Kq+a4fBRpRnay05nbTmk0rc73dr20V3a7+fPgj8MX8R/GHRfibOLpF8NWV/HAyqBFK10kaMGJHJAjBABGM819D0YA6CivpMmyuOUYJYdS5tW72tv5a/mfnmMxTxlf2jVgooor1TlCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAzPGfjLwp8O/CWp+PfHXiC00nRdGsZbzVdTvphHDa28alnkdjwFCgkmvlz9m7/gt7/wAE8P2p/jDonwQ+GfxQ1m11jxYlw3gi58TeEb/S7LxQIGIk/s65uYkjusYPCHJxgZJArtP+CrP7PfxI/at/4Jy/GL9nj4QBH8TeKvBF3Z6LBJMI1uJ8B1hLHhQ+3Zk8fNzX5R/Dn4Y/tK/tna//AME9P2ZPBf7HfxS8C6t+y/qEV18XPFHjTwbPpWnaStoLJGS0upQEvDKbR2URE5LRZ6kqAfu9RRRQAUUUUAFFFFAHkf7ZX7cH7Pv7B3wzg+Kv7Q2t6rbadeXptLC20Pw/daldXUyxPMypDbRu2FjjkdmOFVVJJFbH7KP7Unwi/bR+AXh79pb4EapeXvhTxPbvNpNzf2D20rosjRktG4DL8yHr9a8x/wCCsHxr0n4QfsT+NNHvPh5458S33jTw/qXh7RbHwH4KvdbuBeT2M/ltLHaI7QwkrtMrAKCyjOSBXhf/AAbc/EW9tv8AgnP4N/Ze8ZfB34jeEfFvw40VY/EVv438Aaho8DvcXVy6LbTXUSLc4Vctszt3LnGRkA/QaiiigAooooAKKKKAPk79pv8A4LT/ALC37JHjnWfBHxh1vxtGnhq8itPFHiLSfhxq15o+jTyFQsdzfRQGCNvnXjcfvDvX0x8O/iH4I+LfgPR/if8ADTxPaa14f8QadDf6Nq1hLvhu7aVA8ciH0KkHnkdDg1+T/wDwWn/bM+Ov7Svxp1T/AIJe6X8A/jL4O+CcgSP4u/Fzw18GdW16516EeXMdM0hbeB41R+Fe6YkcMAMLtk/Sj9ibRfhD4b/ZL+H3hv4B+DNe8PeDNO8MW1p4c0bxTpFxYajbW0S7FFzBcqsscp2lmDqCS2cc0Aeo0UUUAFFFFABVLxJ4i0bwh4dv/FfiO+W10/TLOW7vrllJEUMaF3chQScKCcAE8VdrF+I/i278A/D7XPHNh4O1XxFPo2kXN7DoGhQpJe6k0UTOLa3R2VWlkK7EDMoLMASOtAHzB8LP+C3f7BfxU+Pnhn9m2DXvG3hzxL42Zl8Ff8Jv8ONV0a218jODaTXcCLKGx8pHDZAByRX1zX4fx/Djxt8b/wDgtB8Cv2kv2FPgL+0rNHp3iW/uvi9f/tFeHdRGieH9NuZt08emnVwfs0oVphGtqdqnyQnGa/cCgAooooAKKKKACsnx7478G/C7wTq/xI+IfiS00bQdB06a/wBZ1a/mEcNnbRIXkldj0VVUk/Stavhv/gtZ+z3+2z+1B4e+Gnwr/Z4+CmmfET4bR+K/7V+MPgW88eReHX8SW1tsks9Pe7kilxatON8yLGxcRKuVzuAB7H/wT7/4Kcfsmf8ABTnwV4g+IH7JXijVtV0zwzqqadqs2q6FPYss7x+YoVZgCw29x06V9A1+S3/BtZ4K/bG+GHxi/aj0b45/sX3vw68PeJfjHqmtJqGoak0aW941xJixsoXtoxe2iqx23sREbBBhBuGP1poAKKKKAP/Z", 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", 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", "info": {"equation": "7-2=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "648cb36e87ddf01d6511d9c1cbc5a531f6bab327c00baebfe1ffe1fe3dd0eed1"} +{"episode": 67214, "episode_seed": 3041679493, "split": "train", "timestamp": "2025-10-28T03:49:15.301000", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3041679493, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 0])", "action": "('move', [8, 0, 0, 0])", "reward": 0.0, "image": 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0f4NXHxy+Hvxo+E3jK08WfEe++LGkWp8WRarb6rqd1bOggv7Z5VJ226aX9oZkUAIEEmAx3H7k8Hfs2/Aj4f8AxV8TfHDwZ8LdJ07xZ4yEQ8Ta7bwYmvxGMJvycDoCdoG4gFskZrwTVvg18K1/4KQQfG4eBbD/AIS2LWoNNi17Y3npaHQnYxDnaASTyBnBIzg4r86r8PYrL50ZzxDadaOmttZfFvv3067n7dxL4lZbxVxB/aFDDOhGGFVNxjb944x1hOzX7pt8v2m4Rj7qb936yrxP/gpBr/xP8LfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0GvTdajKmna6av2utz8cyzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfgR/wQq+MWteFtM8f+CvE37SupeCPDEclpe2FnD4ot9Oimv5N6SuBMCXby4owdvACrntX7Q/sqeM9R8b+HbnWYPGDeINJeKEWWsfbVuVuGAKsyyp8r52jcV4z6Zrovgd+zh8Cv2avB0vw/+BHwv0rwxo0+oS302n6ZBtR7iQKHkOSSSQqjrwFAGAAK7VESNdiKFA6ADFfL5Rw5i8vrU6lTEuSjf3NeXVNd/PsfbeI3GmB404nxeZYbDeyjVcbXtze7GKvK2l3y3er33YtFFFfWn52fJ3/BcDxB8UPDX/BMT4n6h8KJbyO9ksLa31KWwTdImmy3UUd505CGBpA5HRCx4GTXzp/wa3ar8Rbv9krx5pWvRXH/AAjVp44U+HZJYAEMz2yG6VG6sARASOgLH1NfoJ+01p1jrH7OPj7SNUtVntbvwbqcFzA/3ZI3tZFZT7EEj8a4D/gn78L/AIefBr4V6/8ADr4WeEbPQ9DsPF8v2TTbFSI4y9nZux+YkklmYkkk8185Xot8UUanM/4ctOmj/wDtvwR+l4Hi/CYbwqxfDjwydSpiIVFU00SitO91y2XTlnLbr7vX4qf8HUniH4oj4x/CzwxcyXieDF8NXV3p4EeIJNU+0FJzuH3pFhFtwfuiTj77V+1dcV8af2cvgb+0XaaNYfHD4Y6V4mh8PazHqujR6pCXFrdxghZFwRng8qcq3cHAruzrL6maZdLDwlyt216aO+pw+GnF+E4G4woZxiaHtYU1NOKtf3ouKcb6Jq/3XPgD4Q+IfhX+0Z8D/h7pP7Tn7Qdt471abQrDUNS8IeKPGFlc239p/Y/3jPZpgMyb5SFbIQ5OMqCPsD/gmxNeyfsXeDoHluJNOtft9r4YluYgjSaJDf3EWmMMcMhsktij/wASbWyc5pn7f3wk+Gnxk+Emi/D34oeDLPWtFvvF9qbzTroMElKQ3DrkoVbhlB4Pau6/ZasbLSv2cPA+l6ZaR29ta+GLOG2t4UCpFGkSqqKB0AAAA7AV4eTZdWy/PasKlZ1H7Navzl6va34nNm2eUMwyB04QcOes5qCtyQSUtIa/ac9VyxSUI6yv7ve1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/w3aNd6nsWSC0XpNcO3l20WcHG6ZkyccDnkV7md4mGGyuq5K91ypd3LRI+WwNOVXFRS0s737JanG/sS674a8ZfGv4hau8ZOpaPbWelaU8sceGslkm+0SQsHLMGvEkikBVcG1i69a+ma+ZfCHwfuv2cPjF4DtPD1150FnpraZq880kate290qtPKW8sZf7bFHNgbPlZ+5Cn6arj4akqeXvCyVp0m4yXzun80zbM1zYj2qd1NJr/L5EOoNcpYTvZLmYQsYRjq2Dj9a/nO/wCCZ3xi+MWk/wDBSLxFr3xY+MmreD9T19dZHxF1afVYdPna4DtI0Uskwwh+1rGNg5yNo4zX9G9cR4D/AGbvgT8MPiL4q+LfgD4W6TpXiTxtPHN4q1i1t8TajJHu2s5JIByzE7QNxOTk81Wd5PXzWdF0qrp8jeqvfVbqzWunfZs+44J45wPCuQZxl9fCqtLG04wi3b3Wm73v0tLmVvtwj6r4f8P6L8Hh+0V8NfjF8G/Fdn4p+IWrfFK2tr3xXBqkGqalqFm1m0WoQzzKTiCLT1DbQAIvLiIALZb9F6+UbT4M/Cq0/wCCk03xutvAlgni2fXP7Nl14IfPNoPDYYRddoGQOQAeMZxX1dXPwvhp4WjiISm5NVZK762tr136nz3EuZU8wp4OMXJ8lJJuW6u2+SOr9yG0durtG9lHeWtpfWktlqFtHNBNGyTwzIGR0IwVYHggjIINec/stfDP9lf4bfCaHw7+yNpHhWHwc1/cTQnwpeR3Vo9yXxM3mo7hnDLtPzEjaF4AAHE/8FUvEHxQ8Lf8E7vi5r3wbkvE1+38ITmCXT4900VuWVbqRO4K25mbcOVxuHIFfkn/AMELfjLrXhvwX4+8EeLf2nNS8E+GrW+s7rRrCLxXbafFJeSrIty6iYEsdkVvnHAwO5qs4z7D5RjqcKlJyvFu6tda7K/prr2Ppsg4HxeceHOYZ7TxfJCjVpxdK7tPZczV7XXtPc0enPsfvWqqihEUADoAKWvLf2W/GGpeNvDNzrY8VNrmmSiFtP1b7Wtwlx8pDMki/K4OFJK8ZJr1KvYy7GwzHBxxEYtKV9Hvo2v0PzjE0Hhqzpt3sFfHP/BerX/id4e/4Jh+Pp/hg94jXL2Vrr0tlHuddLluUS5BPVUZSEcj+BmB4Jr7Grzz9rPRdK8SfszeO/DuvWKXVjqHhe8tr21lztmhkjKOhxzgqSPxozGm6uX1YJ2vGWvyPW4XzSnknEmDzCpTVSNGrCbi/tKMk7fhp5nw5/wbBar8RLz9h7xNp3iaKcaBZ+PZ18MSTQBVKtbwtcBG6uolJPcBmYZ6gfpNXiH7A3w38B/CL4P6p8Ovhl4WtNF0PTPFV0lhplkpEcIaKB2xkkklmYkkkkk17fXLkMXHJqCvf3U/v1/DY9Hj3O6HEnGWOzOjT9nGrUclHTRbXdtOZ2vL+83qz8Qf+DpLxR8Vof2nfhroN1c3sXhK08HPeaFhMQHU2u5FumVv4pFjSzyD90MuPvHP0r4J1f4MftG/C3wXpn7Tf7QFn8QNRbQ7XUNS8LeKvGNldWseomxIuJTaoVG+NZLjGciMFmGCoYe/f8FNPg58Lvi9F4WHxO8DWOtjQtI1zUtIW+ViLa7jW02SgAgEjPRsg9wa6n9vn4P/AAv+NXwm8KeBPit4Isdc0e58XwSz2F4rBHdLC9ZSdhB4YA9a+NzfLa1bF4+rGs4qCi2ukrxvZ67K2mjPuq3HeBx3C+Q5TGg6M8K6ilVhbm96S1grxd2tZXlG8utjX/4Jz3et3n7FHw/bWpLp44tJkg0aW9gEckukx3MsenOQODusltmDfxAhjya9rrjP2cbe3s/2fPA1paQJFFD4Q01Ioo1Cqii1jAUAcAADGK7Ov0DBw9ng6cb3tFK/yPybNcVHHZpXxMY8qnOUrduaTdum17BXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dnw1d4asqiV7X/FWCiiiu4wCvIdR8C/2l+1Bba3/AGdJCLaddReaJTicrZPbBmJyOj7eMfcHvXr1FcGOwKx3srytyTjP15ehvQruhzaX5k194UUUV3mAUUUUAFFFFAGJ8SdLGt/D7W9GbT1u1u9Knhe1YHEqtGVK8c8gnpXL/s1+GX0DwRe6hIJQ2sau96VlGMfuYoRjjoRCDz6ntivQ6K4Z4FTzGGL5vhi429Wnf8DdV3HDOjbdp39AoooruMDgf2jdL/tHwJBONNFwbPVIp0O0kwkK67xj/e289mNb3wo8MDwX8M9B8KBpD/Z+lQQnzsb8hB1wBzXQUVwwwKhmM8Xzayio27Wbf6m8q7lhlRts27+oVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0VvXw1DEqKqxvZqS9VszOnVqUm3F2urfJnOeMPhvpfjDX9L1+8unjbTZdzRqoImUEMFJ7fMBz6Ej3HR0UUUsNQo1Z1IRtKbTb72Vl+ASq1JxUZPRbBRRRW5B5Engdr39qMeITpzwC0nOoNLEp2zsbA2isxOf4WxxjmMehz67RRXDgcCsCqiUr885T9Obp8jevXddx0typL7iO7tLW/tZbC+to5oJ42jmhlQMkiEYKsDwQQcEGuP+CH7O3wQ/Zt8Cp8M/gX8NNL8NaEl3LdDTdOhIQzSEF5CWJJJwBknooA4AFdpRXY4Qc1JrVdeuoRxOJhh5UIzahJpuN3ytxvZtbNq7s3td23EVVRQiKAB0AFLRRVGAVz/AMV9KGufDbW9HbTlu1udOlRrZgT5gI5GByTjp710FFZV6XtqMqd7cyav6qxUJck1LscB+zj4Ybw74Bmu5PNDatqkt8yyjGNyogxwOCIwefX0xXf0UVlgsMsHg6dBO/Ikr97IuvVdatKo1a7ufFv7c3jm28P/ALRnia2+JvjKfSfD1l8EXutAM8iRwZa5uhqc0RbiSZFj00Ec7Q8fH7zniP2e/i1pXxG8GeCH8b/tSXPizxZdaFZ3Nx4f1DxhZ3LLqT2Y84rbQgN5i75htGdoLcccfanxh/Zx+Bn7QF14evfjP8MdK8Ry+FNZTVfDr6lCXNldoQRIuCM9Fypyp2jIOBXZLa2yNvS3QEdCEGa+XxvC+JxuNrVViXGNS2iTd1a1nqlZdPI+rrcQZZ/ZeHpUqH72KXM2opLlVlyNXfvfFO9ve2vuY/w18OL4P+Heg+E0aQjTNGtrUGXG4+XEqc4AGeK26KK+vpwVOCiuisfISfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/Zw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f/BdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/AIJ0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8xagD6sooooA84/a1/av+Cf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5//wDBxj8GP2pPjZ+xgNF/Z8+BP/CxNK0u01q/8UaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/ABnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP8AwUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/wBtf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/wCC1vxdilsfidb+Edf8SeLfEHiuXVTP/wAIheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/AG/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/wAQvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//AMEbvCXi/wAEf8E8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8HEPwE8efGL9n/wzffBdPiCfHjJr/hbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//9k=", 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", 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", "info": {"equation": "74-14*4=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": "74-14*4=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a3ffb5a03667cd2bb8c895ccb24e2cbf29abec92f1de377cd8f6adcd34534781"} +{"episode": 67215, "episode_seed": 1445791938, "split": "train", "timestamp": "2025-10-28T03:49:15.396482", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1445791938, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 7])", "action": "('move', [4, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "12+15*7=117", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12+15*7=117", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "80e4aca8297c6c58e71565df23d497894b1136e6242f205b7ef2cbc5bc92005a"} +{"episode": 67216, "episode_seed": 372905820, "split": "train", "timestamp": "2025-10-28T03:49:15.469634", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 372905820, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8])", "action": "('move', [3, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13*15=195", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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jfc20EMCdxXkMQV+PPhXwdB+yl4y8MaPodimjJ8PtQtLWztolEAtRYyIsaBeAmzAAHGOlfN5nw/icVj62JhiXBOK0V76K1nqtNPz0P0KfiBhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wX/AIJx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/CD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XXq8MwcMjoK99L/e2/wPg+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLdlfOX7bnimy+HtvdeLdDs/tWrjTUS1sEVP9KvZJBDaRfMygs8romCRxjmvoXVdTs9F02fVtQl2QW0TSSt6KBk/U18wN4Tv/ANpf9oKc3cMq6d4YsG1xizqqtqEvmW+nRHKHcI40uZGwQQwhPOeOHip/WqFPA01zVJu6XZRTbfz2+bOPKV7KpKvJ2jFW+b/q57J+ybYeDtO/Zs8Fx+BLkz6fLoMNx9pkjVJbi4lHmXEsqozBZnmaVpACcOzDJr0OvEf2ORq3hgeJ/h5dhf7OTWJNV0RQ6g263J33UBQIpGLrzZQSWyLjGRtxXt1e1lOLpY3LqdWnomlp2a0a+TOLF0ZUMTKEu4UUUV6JzH87f7dvjr9qV/8AgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlfzgft2/FD9onR/+C0/ifxf4g8T6ppHibR/iclp4dvpSkD2OlrKI7Noi/wAiRm0dHDHgiQueWJr+j+vKtf8AhL+x7qH7V+j/ABP8SaD4Of4x22gPHos9zeRDVzp/71GeOAvudAGmTzNhwCy7sDFdWfZXUzWhThCpycsk7/5ea6E+FvHGE4HxuOrV8H9YVbDzppWTs3Z+9f8A5du1p+Vnrax8g+PdM/ZH+O7uvxp+OWlfEi20jTL54LbxT40tNQi0y2eMfabqONCojYRqMzkbowCVZckn62/YJ174h+J/2NPhxr/xUutRuNcuvC1u9zdavCI7u4jwfJlmXjErw+W7ZAO5iSAcivOf+Cj/AMC/g/8AG+TwX4e+Lfw807X7GxXVb60tL6NtiXCRQBXwpG7AZhg5BzyDXvvwV/5I54S4H/Is2HQf9O8deXkOBq4LOsTCpVc2owu31vr3e1rI+ezPN6WI4YoYVczfO5WduWmo3Vqer+Ny5p6RV4x+LddNXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx6pX4bf8HRnij4uj9qzwD4Z1O6v4vBtr4M+2eHFClYG1FrmVbt1YfekVEtAe6grjG7n2s8x8Muy6VaUOdXSs9tX1/rex6vhXwpiOM+M6OXUcU8NJxnL2kb8y5YvSNmrt7PVe7zPpY/cX7Jahtwto8567BUlfm9+x3+0tfa58E/h94l+J37a+oXfi7UPD9o2raNqPjuyPm3Use3y3gAD7juHy53bsd6+/wD4T3euXvgHT7nxC0jXLI3zzZ3sm47S2ec7cfWuXKuIsNm+JdGlTkrK93bulbRvufKZvktbJ69SlUnGXJNwvF3Ts2rrydtDoqKKK+hPFPHv+CgniD4reFP2I/il4k+B73ieK7LwVfS6NJp0e+4jkERy8Q671Tcy45BAIycV+Tv/AAaza38T0/ad+JGh6Yl0/hG58FxXGvSCANEuoJdoLPc55VzHJe4H8QDE/dr9vr9itjMynkRMR+Rr5H/4JgfBL4S/BO/1m0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv8Ajez8j9T4Y41weT+HGcZFUwynPEum4z00s18XX3bc0LbSbenX69rw7/gpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6KvTdajKmna6av2utz87yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/wAIjeRXMP8AaIRFkSR0dwrqoQeXkbQRhRmvD/CHwQ+EWlf8FFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGIy/6o5YhyTqRSSvyq7butf0W5+ycU+IeC4j4zx+a08POhGVJrksuao1BR5a2qXK95fFolG2vMvsWiiiv0o/DD+af9nz4ufH/S/wDgrX/wm3xP+IureGPFuoePb608cavPdxWU9pC0jpdRs8o2QqsalAOihVC9Fr9Ivj7Y/sx/ELwD4q+KviP40W/jTxT4d8LSPoPiS58U2+panoM0b+baPY+Wf3ExvPJ2FV3yyCOMlgQlfcHhD4R/sd6R+1J4o+JPgrw/4OT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzHh3E4HAVKrxLceb4VezvJK71+Lq9N+p++8R+JeA4n4qwGMp4WWFVGhCL5ElJ8qcuWOsV7N6Ri23aPvcr+E+qfhLeeMdR+FXhnUPiLbND4gn8P2UmuwtGEMd40CGZSo4UiQsMDgV0FFFfpkVyxSPwatUVWrKaSV23ZbK/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+tdPRRRhsLh8HS9nRjyxu3bzbuwq1alaXNN3YUUUV0GZ4t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgr+cX9uP4u/tK+Gf+C1XinxpqfjLWNC8UaT8SRYeH9Q81baSz0gyCG18st8iRNZyKdx+VllZm+81f0dVwerfswfs/a78d9P/AGndY+E2j3Hj7S9NNhYeKJLfNzDbkSKUBzjO2WRdxG4KxGccVx57lNbNqNOFOpyOMk7/ANdV0P0bwx48wHAeMxtbFYVV1XoTpJaaN2aTv9iVrTS1tbR2sfLHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77nwGMxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8P/4KV+I/ix4R/YJ+K3iT4HyXqeJ7PwddSadNpse64iXAE0kY6h1hMjAjkFcjkCvcKSSNJUaKVAysCGVhkEehrrr03Woypp2umr9rrc3yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PJ/wQy+MHifwZ8SPGfgzVP2hdR8EeEbjREvrhIPEdvp8U+orNHHEczA5bymmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2j4E/swfs+/syeHr/AMKfAP4TaP4W07VNTfUL+10y32rNcsqqXO4k/dVQAOABwBXdRxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpctny3Tvpd/p3P0DxI49wPGnE+JzPCYX2UaqjFXtzO0VG8raXdu+yXYdRRRX2p+YH81f7O3xo/aL0L/grNN4w+I/xP1rwp4q1jxze2HxA1WS+jsZobYzMLqGRpPkiRVjACnhfLQLyq1+vHgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37L37PnhT4363+0l4d+Euj2njrxHZLaa34mit/8ASbuECMbWOcDIhiyQAW2DJOK7qO3giO6KFFPqqgV8LT4QxWsZ4p8rlflSbT1vd6pX+T17n674ieJOXcZ5hhsThcEqPsqEKb23V72svgje0Vvbe17J9FFFfdH5EFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/AMFuPDnxL0DxF8G/2j/B/wAFvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wAE/wD4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8AGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8ABL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/AGNPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/wC3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/APBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/AAUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/Z", 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", 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", "info": {"equation": "13*15=195", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e484b988fdba2300576c9f545b46951fe192721e10131aeca2958d01d92cef54"} +{"episode": 67217, "episode_seed": 1762773566, "split": "train", "timestamp": "2025-10-28T03:49:15.515961", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1762773566, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "5*1=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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t6ZrFxaaTY6rD5SWmmCVzarBGPlWJoyrgrw5YsSSSa/Sj/g1z8U/tD6h8K/HnhXxTaX5+GlhdwSeE7m4sgsP9ouzm8jilwGfAERZeQpbsSRXvn7dP7M/wE/aM/bM8j44/C/TvEqaT8L9NbTRftIPs5k1LUQ5Hluuc7F656cV6z/wTW8I+F/APwj8W+CfBOgWulaRpXxI1O207TrGERxW8Sx2+FVR+ZPUkkkkkmvzfKMHKjxfVg6jfKm79720f3/gf0vxr4wZTxH4V0MjpZcqdS0E37vJT5H8VK2qcrW1SspSV5bv6Iooor9IP5oCsnx34c8FeL/Beq+GPiPpOn3+gX1hLFrNnq0aPbS2xU+YJQ/y7Nuc54HWtavzH/wCDm/4g/tQ+EP2dvCGgfCa41e1+HuuXl9b/ABJvdLh+Qt/o32K3uJV+ZIZC1wCvCOyqrZ+VTwZnjI5fgKmIlHmUVsuvT7u/kfVcEcOVuLeK8JlNKuqMqsrKcvs2Tlp3lpaCuryaV1e59a/sY/AL/gmt8M9c13X/ANhvQvhw2pS2kNvr974O1uHUZ4oGZmjjd1lkaJHZGO3KhzECc7Bj3/7FZ/8APpF/37Ffygfsl/GH45/BP456N4n/AGeviFqfhvXrudbBr3TbxIfMt5WVZI5TJ+7MZ4Y+Z8qlVbgqCP3Qn+OPw681xD/wUF1MpuO0/wDCzdP6dv4a+QwPGeBp4dRlQcfKCVv0P0rxf8Mcx4Rz2k6uYPFe2jdSqN+1XLZWldy0/kd9bNW927+8UijiG2ONVHooxTq+ZvhN8WvE3ju507VPh18SG8UxIyWou7XU0u4Z9hUMJXiJTOcb24I3ds19M19Jk2dUs5hOVODiou2vW/8AWq6H4xjMFPBOKlJO/YKKKK9o4gr+cf8A4Lz+P/2nfE37fvifwp8fLjWItC0W7kX4dafeQmK0XSXI2z26j5H8wr88vLMybWI2BV/o4rx39sv4PfsQfFfwXpR/bk0XwTLolhqZ/sa98aalFZJDdPG2Y4p3kjILojExhsMIwSDsBHhcQ5ZPNcB7KNTks767P1/P1P1Xwf45wvAXFf16vhHiFOLh7qTqRb15qd+rtytXV4t69H+Iv/BD/wCOHxH8H/EPxJ8OdR/aE1DwT8Pn0uXUbtYNetdPjl1YvBFEfMmG5mMSSAqvGFBPav0H+JWtfsy/Gfw0fBHxs/a8Hi7w886TXfh7XPifbGyu2XOwTJC8ZlVWIYKx27lVsZUY+3P2ePh1+z18O/hBo/hn9mbQvDlr4KSJpdGHhmSOazlVmJaRJULCUls5fcST1Nef/wDBSPwf4W8Y/sha54R8UaDbXumap4i8N2moWcyfLPBJr2no6HGDgqxHBB54NfN1eF8Zh8tk3jJcsYt8qvy7Xsve2fp8jbjHj7C8UcdzzXD4X6recUnGyqLldud25f3nV+8tUlzacx8c+OfDXhP4D/tTfCqT9ibQrPQPiVrnjCwsvEvhvwRYQJHqPhcuDfS6haxgIkMUeXjnZVO/OGJAFfp/Xwd+yt+y/wDs9/s5/tf+BJfgd8JNI8NSappevLqM9hG5knVILYqrPIzNtBJO0EDPOM19416HBNNxypzcm7yenRW7evU+d44zfD5jiKFCi5TVKLXtKiSqTu72klKVow2gueVld315YlFFFfYnwx+Uf/B0B4//AGnPDvw48FeEfA9zrFr8MdZ89fGM+nw4t571XQ20FxKvIUqHYRthWZQeSox+WP7CXxk+N3wb/aR8PXvwQ+J2p+FrjV9Rt7DWrzT9Qjt1k095kM6ytL+72hAWy/3SARg4r+pH4h/DvwN8WvBGp/Db4l+FLHXNB1m0a21TStRgEkNxE3VWU/gQRyCAQQQDXB/s8fsPfsl/sn3mpaj+zv8AAjQvC1zrESRaldWMLNLPGhJVC8jMwXJztBAJwSCQK+MzXhjFY/NfrUK/KtO942/l20+a3Z/RvBvjbknDPhtV4dr5aqlVqaT932dTnfxVb6txvbRO6jFXj0+YJvjh8Oy7rH/wUF1PbkhSPibp/T/vmuh8KfDLwN8Z/hhF8LPhpqkV54ev7b7FDfaBeJcpHGJAHYSjemQwOScgEkGvs/7FZ/8APpF/37FPSOONdsaBR6KMVnPhCvWnF18XKai76pv7rydj8OjnEIRahRSv/XYWiiivtzwwooooA5D4lfCLTfiHcQ6j/aT2d3DH5YlWIOrpnIDDI6ZOMEfePWtfwR4M0vwJoS6HpbvIPMaSWaTG6Rj3OOOgA+gFbFFcNPLcDSxksVGCVSW7/rT5m8sTXlRVJy91dDH8ceC9M8eaE2h6nI8Y81ZIposbo3HcZ46Ej6E1kfDX4R6Z8PJ5tQ/tF7y7mj8szNEEVEzkhRk9cLnJP3R0rr6KJ5bgauMji5QTqR0T/rT57hHE140XSUvdfQKKKK7jAKKKKACiiigDwf8AaI8KBfiePGzeHFWabR4NPXVI1YmWFJJZFiY/dBV5ZSBwfmPWuv8A2Xvhifhn4G1LzftSza/4jutYniuwA0TzbF2gYBC4jGAcnnrXpOAeoorwsLkccNnFXH+0bc1a1tr269dtNF8zvq451cHHD8trdQooor3TgCs7xf4Q8LeP/C+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/Z5+AWg+F9Q1a1W2v7+yhd5pIVbcIg8rMyoWwSqkBiqk52rj1b7FZ/8+kX/fsVJRUUqVKhDkpxUV2SsvwOnHZhj8zxDxGMqyq1Ha8pycpO2iu229FohqRRxDbHGqj0UYp1FFaHIFFFFABX84//AAXn+IH7T3ib9vzxR4T+PlzrEWhaLeSL8O9OvITFaLpTkbJ7dR8j+YV+eXlmZNrEbAq/0cV53+0T+yX+zd+1nomn+Hf2jfg/o/iy10m6a40xdTibfayMu1ikiFXUMMblB2ttUkEqpHh5/lVXN8F7GnPlad/J+T/P1P1Hwk4+wHh3xO8xxmF9tCUHC6tzwvZ80L6XduVq6vFvXo/wv/4Ik/tDfFzw7421r4T69+0vrHg/4bWukT3y2q+JbexgTVHlhVPLacEgsgmJVOCRlucE/ovqPxV+CniGKKw8Z/tojxBYR3cFy2la18RbGW2llhlWaFnRdpbZKkcg5+8i5yOD9p/CH4H/AAj+AfgCy+Fvwb+HumeHfD+nbvsml6dbhY0LMWZjnJZiSSWYknua6b7HZ/8APrH/AN+xXhU+EsdHDqm8bJK1rJO3mviWnyM+PuPcv4v4qr5rh8FGlGdrLTmdtOaTStzvd2vbRXdrv58+CPwxfxH8YdF+Js4ukXw1ZX8cDKoEUrXSRowYkckCMEAEYzzX0PRgDoKK+kybK45Rglh1Lm1bva2/lr+Z+eYzFPGV/aNWCiiivVOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDM8Z+MvCnw78Jan498deILTSdF0axlvNV1O+mEcNrbxqWeR2PAUKCSa+XP2bv+C3v/AATw/an+MOifBD4Z/FDWbXWPFiXDeCLnxN4Rv9LsvFAgYiT+zrm5iSO6xg8IcnGBkkCu0/4Ks/s9/Ej9q3/gnL8Yv2ePhAEfxN4q8EXdnosEkwjW4nwHWEseFD7dmTx83NflH8Ofhj+0r+2dr/8AwT0/Zk8F/sd/FLwLq37L+oRXXxc8UeNPBs+ladpK2gskZLS6lAS8MptHZRETktFnqSoB+71FFFABRRRQAUUUUAeR/tlftwfs+/sHfDOD4q/tDa3qttp15em0sLbQ/D91qV1dTLE8zKkNtG7YWOOR2Y4VVUkkVsfso/tSfCL9tH4BeHv2lvgRql5e+FPE9u82k3N/YPbSuiyNGS0bgMvzIev1rzH/AIKwfGvSfhB+xP400e8+HnjnxLfeNPD+peHtFsfAfgq91u4F5PYz+W0sdojtDCSu0ysAoLKM5IFeF/8ABtz8Rb22/wCCc/g39l7xl8HfiN4R8W/DjRVj8RW/jfwBqGjwO9xdXLottNdRItzhVy2zO3cucZGQD9BqKKKACiiigAooooA+Tv2m/wDgtP8AsLfskeOdZ8EfGHW/G0aeGryK08UeItJ+HGrXmj6NPIVCx3N9FAYI2+deNx+8O9fTHw7+Ifgj4t+A9H+J/wANPE9prXh/xBp0N/o2rWEu+G7tpUDxyIfQqQeeR0ODX5P/APBaf9sz46/tK/GnVP8Agl7pfwD+Mvg74JyBI/i78XPDXwZ1bXrnXoR5cx0zSFt4HjVH4V7piRwwAwu2T9KP2JtF+EPhv9kv4feG/gH4M17w94M07wxbWnhzRvFOkXFhqNtbRLsUXMFyqyxynaWYOoJLZxzQB6jRRRQAUUUUAFUvEniLRvCHh2/8V+I75bXT9Ms5bu+uWUkRQxoXdyFBJwoJwATxV2sX4j+LbvwD8Ptc8c2Hg7VfEU+jaRc3sOgaFCkl7qTRRM4trdHZVaWQrsQMygswBI60AfMHws/4Ld/sF/FT4+eGf2bYNe8beHPEvjZmXwV/wm/w41XRrbXyM4NpNdwIsobHykcNkAHJFfXNfh/H8OPG3xv/AOC0HwK/aS/YU+Av7Ss0eneJb+6+L1/+0V4d1EaJ4f025m3Tx6adXB+zShWmEa2p2qfJCcZr9wKACiiigAooooAKyfHvjvwb8LvBOr/Ej4h+JLTRtB0HTpr/AFnVr+YRw2dtEheSV2PRVVST9K1q+G/+C1n7Pf7bP7UHh74afCv9nj4KaZ8RPhtH4r/tX4w+Bbzx5F4dfxJbW2ySz097uSKXFq043zIsbFxEq5XO4AHsf/BPv/gpx+yZ/wAFOfBXiD4gfsleKNW1XTPDOqpp2qzaroU9iyzvH5ihVmALDb3HTpX0DX5Lf8G1ngr9sb4YfGL9qPRvjn+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"info": {"equation": "5*1=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9f00b60a4fe9e68bff5f16312f6488f02cdc61d6c5828692288df541bea505df"} +{"episode": 67218, "episode_seed": 71497018, "split": "train", "timestamp": "2025-10-28T03:49:15.601303", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 71497018, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 0, 0, 0])", "action": "('move', [3, 0, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "78-15*2=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": "78-15*2=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "658756ebc0d89a659444baf838e336e25115df4730c0c603190c84ce31ca9767"} +{"episode": 67219, "episode_seed": 3828176120, "split": "train", "timestamp": "2025-10-28T03:49:15.679936", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3828176120, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", "info": {"equation": "62+53=115", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "62+53=115", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "daf092f84c67bbacb1000e79781e298c1f66d53131a64b5692975b8f091b3673"} +{"episode": 67220, "episode_seed": 4114150530, "split": "train", "timestamp": "2025-10-28T03:49:15.752919", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4114150530, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [3, 1, 4, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "14+6*5=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "14+6*5=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b652e726989e13892baba4c211be7aee6cc23f14e632df87d11a19ecc69d309b"} +{"episode": 67221, "episode_seed": 1637148611, "split": "train", "timestamp": "2025-10-28T03:49:15.816236", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1637148611, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 3, 8])", "action": "('move', [0, 1, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+9*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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", 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eB/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/wCDhPxb8cNc/wCCj/iPw98VptRXRNI0+0TwHbXUWy3GmvCjPLCBw4a488M/JLR7SfkAH9FVeKftc/BP9gr4r6n4Vvf20fD/AIDuru0vJI/CT+MtShtnklZoy8UPmSJ52SI8x/MDxkc8+PxDlk81wHsoz5LNPXZ+T+/TzsfqPg/xvheAuLf7Qr4V11KnKFopOcW7Pmhfr7vK9V7rfo/gr/gnn+0FqeufsYeCH+NP7bmraLrSabLajS/+E9sbJrazimkitFERG6PFukWM/MeCeTXUaT8NvgT8Jfjd8B/Ev7H2h6ND4uv/AIiWtnDeeGfJvLjWPD8zyjWpbqXczTwrD5sjXDElJUjAYEhD+mUen2EUaxRWMKqqgKqxAAAdAK+BP2Kv2cvgX8Mvjz8Pvit4B+F+l6X4k8SXuptrms26OZ7vfY3sjglmIUM4DEKFBIHHAx8njclxOAzDBqpiZT5ppK9/dtba7ZGD4uwtfG5jj1SdKNTnmqMLezk589oT1j7kVJ292TavFct+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/yOqOKccJKhbd3uFFFFeqcoV/Or/wcJ+Lfjhrv/BSDxH4e+K02oromkWFongK2uotluumvCjPLABwwa488M/JLR7SfkAH9FVeafH/APY5/Zf/AGp77RdT/aF+Ceh+LLjw9I76PNqtuWa33lSy5UjcpKKSjZU46V4mf5VVzfA+wpz5XdPXZ+T/AD9UfqHhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/wA8f+Cf/wC0p4j8WfsheDdb+Pf7dOt6d4lktJo57S6+IFjbSx26TyJbbkcFwTAsZy/zNnLck19e/su+C/CvirxT4W8WeCNVS90Xw5FcT6ffafdpPbz74JbbBlXIf/WuflOdyn0Ir6Wj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivKw3C1eli6VatipTUHdJp/heTt9x8vnXEVHNcficRSw0aSrSnLljtFSk3yqyWivZC0UUV9gfLlXWtJtNe0i50W+UmG6haOTHUAjGR71gfDX4Wad8OVupIdRe7nuiAZZIwu1AThQBn15Pc+ldTRXLUwWFq4qGInG843Sfa5rGvVjSdNP3XujlfiT8KtN+Ir2lxPqMlpNakqZI4w2+MkErg9Dxwe2ehrotI0y10XS7fSLJcQ20KxRg+ijAqxRRTwWFpYmeIhG052u+9tglWqzpKm3otkFFFFdRkfm4/wAStLW0/aK1X9pb4iXOm63Z+MtdtPESatNFBNpeiBWh0hbaJsDyZLNopITgiaeeXlnJAq/s+ftBQ+Nf2dvCGqfHH9urUl8Rar4XtZPE9hdfELT4QZ5IgZY3iCjZnOCvBGSODX2/8Uf2Mv2WfjX8V9C+OXxX+B2g674t8NeV/YmuX9sWmt/KlMsQ4IDhJCWUOGCkkjGa9KNnaE5NrH/3wK+HXCmO+s1akcW4qTvpe7/xarVfM+9zbifJMXhIxw+F/eScZS5lFRhyx5eSla75G25O6i9IRs3Fyl4N+yt4O0nUfGFv8TNBmD6bZeGJNO0yW0kV7WaG4ktZQUcZ34W2TBBxhuc5Br32kVVQbVUADoAKWvpcoy1ZVgY4ZS5rX1tbd321PjMZiXi67qNWuFY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrZor0pRUk01dMwp1KlGoqlNtSTumtGmtmn0aOJ+Bf7OPwN/Zn8Br8MfgR8MtL8M6Et3JdHTtOhO155Mb5GZiWdiFUZJJwqjoAB2ccEERzFCik9SqgU+ilCEKcFGCsl0WxeJxOIxleVfETc5yd3KTbbb6tvVvzYUUUVRiFfk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+e4gyavnEKSp1OTld/+D6q2nq9UfX8LZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", "info": {"equation": "6+9*0=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "37e1efd1e4f3d8b12798163fdbbfdcdcccc0a26cdbae6abf4f4150393a1ffafd"} +{"episode": 67222, "episode_seed": 3145211576, "split": "train", "timestamp": "2025-10-28T03:49:15.900911", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3145211576, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [9, 4, 8, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+19*9=179", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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LOMTi4wUFUqTmoraKlJvlXkr2R/P1/wAFf/iV8fNA/wCC2b65deJdS0m68P6roUXgS+ZkiFnYGOFxJCz/ACBPPkuSXPG4vnoQPtT9oiz/AGYPix8PvE/i3xv8brbx/q/h3wpfSaBfan4qtdUutEfKOk1lGhxHM1xHagMFLO6xx5Iba30F+018HPhb4r/bh8I/FrxL4GsL7xJ4dj8NQaHrFwjNLZRy6tciQJzt5DNyQSMnGKZ/wUf+C/wo+J3inwjrPxA8Bafq114Y0LV9R0CW7jJ+xXQlscSqAQCw2r94EcDivzjMcrrSWNrKvJRjUV49HzOLXXpfTTofsWP8QcBmn9g0qeHdF4ShySnC3NJxTVo6r3Zcut3o5zfLK1pfSvwuu/FmofDLw7f+PYGi12fQrOTWonjCFLswoZgVHCkOWGBwK3aKK/T4rlikfh9Waq1ZTSSu27LZX6LyP5w/2Hfif+0Tc/8ABWe4j8feI9Wt9Z8T+Nb6H4j2V0wja6aKZ5TDNGeB5dzFEVVeV2ADC5FftB+xF4zvtY1GXw3o3jV9VttO1jV4tVsxfrMNOY3czLCyr/qiMrhW+bDehrc+Pn7OfwO+HP8AwkPxw8D/AAy0rTPFvjPxHoi+J9dtYSJ78RXkQTec4HQE7QNxALZIzXe/ssIi/A7SSqAE3V+SQOv+mz1+fYDIcRhs9VOVd+6ufS+q537r167vzb9T9X8R+PMBxtiaeOw2EVGMaUKXLp8UY3ctOivyx68sY3tsvQ6KKK/Qj8kMD4rXni7T/hd4lv8AwBA0uvQaBeSaJEkQdnu1gcwgKeGJkCjB4Nfih/wbO+KPjNqf7ePxDbUptRubDVfB9zdeNbm7hLFtQF7GYXmdhuWUvJc8dTl8jg4/c6vkz9g74PfC/wCGnxz8YeJ/APgix0rUfFdreX/iO8tlbzNQuf7Tl/eSFiefnbAGANxwOa+bzai55zgpczXvS0/7dv8Apb0P0vhLjDCZHwVneU1MOqk8XGmoy093lk73vrpfmjbaSXqvrOvzz/4OXtf+KGjf8E97Sx8CyXiaPqXjmxtvGLWqZU2XlzSRrKf4UN0lv7Ftg74P6GVyXx28JfBnxz8Idf8ACv7Q1lo0/gq7sCPEUfiC4WGzFupDbpZGZQgVlVt2RtIBBBFetmWGljMBUoRlyuSav/n5d/I+c4Kzulw3xbgszqUfaxo1IycOrs/s/wB5bx/vJH5Hf8EtPiJ4Y8X/ALAln8M/j3+0/cabo732oaZF4PuvG1tYW8+ksw3QvFlZTFI7zq2WBZWIzjFfen/BNPQ9A8H+Kfi/4I+F+kWtj4IsPFVhJp1nplpHHZW2qy2KNqMMHl8YBFszp0SSRwAOQPUfiT4E+EemfsVa/wCBvhtoOkDwanw2urPRbXSyr2j6cbFljWNlJDxtGRhgTuBzk5zWD/wT8+F3w8+DXwr1/wCHfws8I2eh6HYeL5fsmm2KkRxl7Kzdj8xJJLMSSSTzXymW5RXy3PKEaldz9yT8klZWWr01v02R9JxJxZhs8jmmIhSdJYitzKnpyxvPnc3r/EtFR0jqpS95bP3emXMVvNbyQ3aK0ToVkV+hUjkH2xT64/42+MIfC3gua1WUrc6irQQEAfKCPnY+wUn8SK+vxuKpYLCTr1Phim/+B89j84oUp1q0YR3bPnfwHrfg/Vv2zfC3gC+Ektppdte6lp8skMZjbUGjlS0jfL7lf7NHfygBT9wHIwM/XFfG1p8KfENj8INF+POlQGHxD4g8Qx+JbQXMijyvKdDYQEmL92r2MaxPlSVM0nPOa+wtMv4dV0231O3BCXEKyoCQcBgCOnHevneE28Ph54SpHlnFqVvKaTX3bfI9LNl7SpGtF3i9Pmnb/gk9fz5/8FL/AIl/HnQ/+C6dz4g1XxXqWi6ho3izR7TwtqJdIPsOktHEFaF5BsWMrNOxc8bnkJwc4/oMrzLxR8Lf2T9W/af8PfEvxdonhOT4tWOhTQ+Grm8u4hqw0/8AeCQwxFtzxjzJQXCnbvcZGTXo57llTNMNCnCpyNSTv/XXXTzPsvDPjPC8FZjjMRXwn1hVcPUpJWTs5Wd3f7Glp/3X12fwr+0hafs4/Er4deKfiFqnxmt/H3ivw34Zmk8J6pfeJrbVr7RrpZFktGso0OI5XvFtQCF3SuI4yWB2H9J/CU2t3PhTTLjxND5epSafC2oRhQNs5jUyDA4GGz0r5b/4KBfBf4UfEX4seD/FfjnwFp+p6j4U0e4vvDl3dRktYXJvbT96gBALfIp+YHBUEc19aV53DuCqYLH4unOo5tOGr6+7e+77236Hg51mlLGZHg6Eea8XUeu0btJRhq9Pd5npH3nZLTmkV5l8KPhZ+yd4W+Mvj/xf8HdC8JR+OdZu7Z/iNLo91FLfecVdoftUasTCzAuwBC7zljuPNej6g1ylhO9kuZhCxhGOrYOP1r+dL/gmZ8bPjZo3/BRnxLqPxV+NuteDr3xG2rt8SdQm1iLT5JLpGkk2TNMNquLraAoGRkqMKWFdmeZzRyipRdSnzKTeq3Vl089fuufQ8D8FYrijh7OcbRxfsVhaUZOF3areTlyys9lyaaP3+Q/oxjiiiG2KNVHooxTq+ev2RfiPJ431dbfwz8YJfGmmWsU0d5qT63Ff7HzvVXkh+UOCwwDg7T34r6FruyrM6WbYZ16cXFXa18j88xeFlhKvJJpu19Arkvj7qPjvSPgT411b4WwSy+J7XwlqU3hyKCESSPfrayNbhUPDMZQmFPBPFdbRXoTjzQava5GHqqhiIVHFS5WnZ7OzvZ+T2Z+IH/Br14k+LN9+1z8T7eea+uNC1DwcLvxRczx7w2pi9T7M0kjciRlkvTj+LDk/dr9v6+Tf+Cdnwf8Ahf8ACr4g+LNT+HXgiy0i48TaVb6lr89qrbr67a7usyuWJ55OAMKMnAGTX1lXz/C1N0smgm76y/8ASmv0uff+KnFWF4z4zrZnh6HsoyjTVtLvlgk27aX6L+6kFfHP/BerX/id4e/4Jh+Pp/hg94jXL2Vrr0tlHuddLluUS5BPVUZSEcj+BmB4Jr7Grzz9rPRdK8SfszeO/DuvWKXVjqHhe8tr21lztmhkjKOhxzgqSPxr1cxpurl9WCdrxlr8j5fhfNKeScSYPMKlNVI0asJuL+0oyTt+GnmfDn/BsFqvxEvP2HvE2neJopxoFn49nXwxJNAFUq1vC1wEbq6iUk9wGZhnqB+k1eIfsDfDfwH8Ivg/qnw6+GXha00XQ9M8VXSWGmWSkRwhooHbGSSSWZiSSSSTXt9cuQxccmoK9/dT+/X8Nj0ePc7ocScZY7M6NP2catRyUdNFtd205na8v7zerPxB/wCDpLxR8Vof2nvhroF1c3sXhO08HPeaCAmIDqbXci3TKf4pFjSzyD90MuPvHP0r4J1b4MftG/C3wXpn7Tf7QFn8QNRbQ7XUNS8LeKvGNldWseomxIuJTaoVG+NZLjGciMFmGCoYfbv7RXwx/ZS+I194Mm/ad0bwpdXGl+KYJvA58T3ccLf2sf8AVJbh3XzZW2j90N2/aMqcDHG/8FBvg78LvjR8MvDXgL4q+B7HXNHuPGcUs2n3isEd0sb1kJ2EHhgD1r5jPMixF8VjFiGotX5VfWy2eq07aPQ+3q8e4PH8N5Hk6w0qMsK6idaKXM+eWrp6xu7azvKN5dTT/wCCc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P9nzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17H5yftofFvXfBuvfHjV9d+J95oPifTPF+g2/g+SS5hhltbUw2D2BthL8pje4a+JkIPzLcZP7o7e/wDBWp+A/jL4jl8H6H+0TP461C7tXtkjk8WW2oz2VtI6CR41iHyKSI9zEEfIv4/U3ij9nD4F+NfjLoH7Qviv4X6Vf+NfC9nLaaB4juIM3FlDIHDIpzjGJJMZB272xjJrs47e3ibdFAin1VQK+Uq8KYmvias5YlqE583Kk3dXT11Sutlo9l6H0eYcQ5bWwuHhh8PacY2k2kve5YQtG124+5zXdneclbTmk+iiivtD404r9oDSxqvwzuYzpy3Igure4IIJMZjlVw4x3UgH061b+Cfhc+DvhfpOhN5oZY5J3Ew+ZWmleYg8DGC5GOvHNdVRXCsClmTxnNq4KNvRt3N3Xbwyo263v8rBRRRXcYBXkH7P/gM6P8Q9f8RHTnsxBG9ktuoIjBe4aZsZ5Jzg9ejD1Fev0Vw4nArE4ujXcrezcnbvdW/A3p13Tozhb4rfKzuFfnn/AMHLviD4o6L/AME97Sx8Cy3iaPqXjmxtvGLWqZU2XlzPGsp6qhukt/YtsHfB/QysD4pfC34e/Gz4f6p8K/it4StNd8Pa1b+Rqmk3yForiPcGAOCCCGVWBBBBAIIIp5jhZY3A1KEZWck1f+unfyPf4Mz2hwxxXg81rUvaQo1IzcdNUn0vpzLeN/tJH5If8EnvjZDqn7EekeGvjP8AtZ3umW9pqF5p2neGL7xraWsDaUpULC0L/vDExaZMEjK8DAAr9S/2avDZ0LwPeak3mZ1nV3vsSdMeTDCCvH3SIQe/Unpiuq8DfDzwP8NPBulfD3wF4WstK0XRLCKy0rTbSELHbW8ahURR6AAdeT1PNbPTpXi5Rw9Wy7Exr1a7qWjypNaK9trt6adkb8XcS4fiTOsXjKFBUo1qsqiStom21eySvrq+9wrnPiF8ONO+IUVlHfXrwfY7jflEB3ocbk56ZwOa6OivoMThqGLoulWjeL3X4nytOrOjNTg7NGF4/wDA1n488O/2BPdtbbZVkimRA2wrkdD14JH41raVp1vpGmW+lWgPlW0CxR567VAA/lU9FEcNQhiHXUffaSb8lt+Y3VqOmoN6LUK/n3/4KTfFb9oTwv8A8F1rvxJdeNdW0DUtI8UaVYeGNTSdbY2ejSRRrmJ3+RYmjmuCzH5SZJC3Oa/oIridc/Zv+BXib43aT+0hr/wu0m78daFpj6fpHiaaDNzbWz+YGjU5xjEsgyQSBIwBGTXmZ5ldbNcPCnTqcjjJO/p+q3R+heG3G2C4GzHF4nE4ZV1WoVKSWmjla17/AGXa0utnpfZ/L/w5vfAnxl8WN4X8P/tAz+Or+cRxMz+KrbUZ7K281SxURD5EJClmYEZUc19rUyO3giO6KBFPqqgU+jJ8onlaqOdV1JTabb30Vu7PhsZi1iuVRhyqPT+rBXEeA/2bvgT8MPiL4q+LfgD4W6TpXiTxtPHN4q1i1t8TajJHu2s5JIByzE7QNxOTk8129FexKEJNNq7W3l6GNLE4mhTnTpzcYzVpJNpSSaaUkt0mk7Pqk90NjiiiG2KNVHooxTqKKowCg9OKKKAPIP2b/Ag0DxXr+uDTpLNUhj09LYKRGgSWWQhc8nHmevTFev0UVw5bgVl2Djh1LmtfX1bf6m+JrvE1nUta9vwVgrn/AIr6UNc+G2t6O2nLdrc6dKjWzAnzARyMDknHT3roKK6a9L21GVO9uZNX9VYyhLkmpdjgP2cfDDeHfAM13J5obVtUlvmWUYxuVEGOBwRGDz6+mK7+iissFhlg8HToJ35ElfvZF16rrVpVGrXdz8RP+Dojxj8X9M/an+GOmpqOo2nhnT/CTah4clhzHGuq/bHFzIjjkyqiWfuoKkY3HP1n+z98WtL+I3g/wS3jr9qO48WeLbrQrS5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW444+0/jB+zl8Dfj/deHrz4z/DHSvEcvhPWU1Xw6+pQlzY3aYIkXBGegypyp2jIOBXZLa2yNvS3QEdCEGa+YxvC+JxuNrVViXGNS2iu76Ws9UrLpvofpuceIOAzHgzKcmp4NRqYNVOaenvc8rrl0ur7zvvLVGP8NfDi+D/AId6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboor66nBU4KK6Kx+XSfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/Zw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f/BdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/AIJ0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8xagD6sooooA84/a1/av+Cf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5//wDBxj8GP2pPjZ+xgNF/Z8+BP/CxNK0u01q/8UaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/ABnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP8AwUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/wBtf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/wCC1vxdilsfidb+Edf8SeLfEHiuXVTP/wAIheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/AG/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/wAQvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//AMEbvCXi/wAEf8E8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8HEPwE8efGL9n/wzffBdPiCfHjJr/hbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//9k=", 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LOMTi4wUFUqTmoraKlJvlXkr2R/P1/wAFf/iV8fNA/wCC2b65deJdS0m68P6roUXgS+ZkiFnYGOFxJCz/ACBPPkuSXPG4vnoQPtT9oiz/AGYPix8PvE/i3xv8brbx/q/h3wpfSaBfan4qtdUutEfKOk1lGhxHM1xHagMFLO6xx5Iba30F+018HPhb4r/bh8I/FrxL4GsL7xJ4dj8NQaHrFwjNLZRy6tciQJzt5DNyQSMnGKZ/wUf+C/wo+J3inwjrPxA8Bafq114Y0LV9R0CW7jJ+xXQlscSqAQCw2r94EcDivzjMcrrSWNrKvJRjUV49HzOLXXpfTTofsWP8QcBmn9g0qeHdF4ShySnC3NJxTVo6r3Zcut3o5zfLK1pfSvwuu/FmofDLw7f+PYGi12fQrOTWonjCFLswoZgVHCkOWGBwK3aKK/T4rlikfh9Waq1ZTSSu27LZX6LyP5w/2Hfif+0Tc/8ABWe4j8feI9Wt9Z8T+Nb6H4j2V0wja6aKZ5TDNGeB5dzFEVVeV2ADC5FftB+xF4zvtY1GXw3o3jV9VttO1jV4tVsxfrMNOY3czLCyr/qiMrhW+bDehrc+Pn7OfwO+HP8AwkPxw8D/AAy0rTPFvjPxHoi+J9dtYSJ78RXkQTec4HQE7QNxALZIzXe/ssIi/A7SSqAE3V+SQOv+mz1+fYDIcRhs9VOVd+6ufS+q537r167vzb9T9X8R+PMBxtiaeOw2EVGMaUKXLp8UY3ctOivyx68sY3tsvQ6KKK/Qj8kMD4rXni7T/hd4lv8AwBA0uvQaBeSaJEkQdnu1gcwgKeGJkCjB4Nfih/wbO+KPjNqf7ePxDbUptRubDVfB9zdeNbm7hLFtQF7GYXmdhuWUvJc8dTl8jg4/c6vkz9g74PfC/wCGnxz8YeJ/APgix0rUfFdreX/iO8tlbzNQuf7Tl/eSFiefnbAGANxwOa+bzai55zgpczXvS0/7dv8Apb0P0vhLjDCZHwVneU1MOqk8XGmoy093lk73vrpfmjbaSXqvrOvzz/4OXtf+KGjf8E97Sx8CyXiaPqXjmxtvGLWqZU2XlzSRrKf4UN0lv7Ftg74P6GVyXx28JfBnxz8Idf8ACv7Q1lo0/gq7sCPEUfiC4WGzFupDbpZGZQgVlVt2RtIBBBFetmWGljMBUoRlyuSav/n5d/I+c4Kzulw3xbgszqUfaxo1IycOrs/s/wB5bx/vJH5Hf8EtPiJ4Y8X/ALAln8M/j3+0/cabo732oaZF4PuvG1tYW8+ksw3QvFlZTFI7zq2WBZWIzjFfen/BNPQ9A8H+Kfi/4I+F+kWtj4IsPFVhJp1nplpHHZW2qy2KNqMMHl8YBFszp0SSRwAOQPUfiT4E+EemfsVa/wCBvhtoOkDwanw2urPRbXSyr2j6cbFljWNlJDxtGRhgTuBzk5zWD/wT8+F3w8+DXwr1/wCHfws8I2eh6HYeL5fsmm2KkRxl7Kzdj8xJJLMSSSTzXymW5RXy3PKEaldz9yT8klZWWr01v02R9JxJxZhs8jmmIhSdJYitzKnpyxvPnc3r/EtFR0jqpS95bP3emXMVvNbyQ3aK0ToVkV+hUjkH2xT64/42+MIfC3gua1WUrc6irQQEAfKCPnY+wUn8SK+vxuKpYLCTr1Phim/+B89j84oUp1q0YR3bPnfwHrfg/Vv2zfC3gC+Ektppdte6lp8skMZjbUGjlS0jfL7lf7NHfygBT9wHIwM/XFfG1p8KfENj8INF+POlQGHxD4g8Qx+JbQXMijyvKdDYQEmL92r2MaxPlSVM0nPOa+wtMv4dV0231O3BCXEKyoCQcBgCOnHevneE28Ph54SpHlnFqVvKaTX3bfI9LNl7SpGtF3i9Pmnb/gk9fz5/8FL/AIl/HnQ/+C6dz4g1XxXqWi6ho3izR7TwtqJdIPsOktHEFaF5BsWMrNOxc8bnkJwc4/oMrzLxR8Lf2T9W/af8PfEvxdonhOT4tWOhTQ+Grm8u4hqw0/8AeCQwxFtzxjzJQXCnbvcZGTXo57llTNMNCnCpyNSTv/XXXTzPsvDPjPC8FZjjMRXwn1hVcPUpJWTs5Wd3f7Glp/3X12fwr+0hafs4/Er4deKfiFqnxmt/H3ivw34Zmk8J6pfeJrbVr7RrpZFktGso0OI5XvFtQCF3SuI4yWB2H9J/CU2t3PhTTLjxND5epSafC2oRhQNs5jUyDA4GGz0r5b/4KBfBf4UfEX4seD/FfjnwFp+p6j4U0e4vvDl3dRktYXJvbT96gBALfIp+YHBUEc19aV53DuCqYLH4unOo5tOGr6+7e+77236Hg51mlLGZHg6Eea8XUeu0btJRhq9Pd5npH3nZLTmkV5l8KPhZ+yd4W+Mvj/xf8HdC8JR+OdZu7Z/iNLo91FLfecVdoftUasTCzAuwBC7zljuPNej6g1ylhO9kuZhCxhGOrYOP1r+dL/gmZ8bPjZo3/BRnxLqPxV+NuteDr3xG2rt8SdQm1iLT5JLpGkk2TNMNquLraAoGRkqMKWFdmeZzRyipRdSnzKTeq3Vl089fuufQ8D8FYrijh7OcbRxfsVhaUZOF3areTlyys9lyaaP3+Q/oxjiiiG2KNVHooxTq+ev2RfiPJ431dbfwz8YJfGmmWsU0d5qT63Ff7HzvVXkh+UOCwwDg7T34r6FruyrM6WbYZ16cXFXa18j88xeFlhKvJJpu19Arkvj7qPjvSPgT411b4WwSy+J7XwlqU3hyKCESSPfrayNbhUPDMZQmFPBPFdbRXoTjzQava5GHqqhiIVHFS5WnZ7OzvZ+T2Z+IH/Br14k+LN9+1z8T7eea+uNC1DwcLvxRczx7w2pi9T7M0kjciRlkvTj+LDk/dr9v6+Tf+Cdnwf8Ahf8ACr4g+LNT+HXgiy0i48TaVb6lr89qrbr67a7usyuWJ55OAMKMnAGTX1lXz/C1N0smgm76y/8ASmv0uff+KnFWF4z4zrZnh6HsoyjTVtLvlgk27aX6L+6kFfHP/BerX/id4e/4Jh+Pp/hg94jXL2Vrr0tlHuddLluUS5BPVUZSEcj+BmB4Jr7Grzz9rPRdK8SfszeO/DuvWKXVjqHhe8tr21lztmhkjKOhxzgqSPxr1cxpurl9WCdrxlr8j5fhfNKeScSYPMKlNVI0asJuL+0oyTt+GnmfDn/BsFqvxEvP2HvE2neJopxoFn49nXwxJNAFUq1vC1wEbq6iUk9wGZhnqB+k1eIfsDfDfwH8Ivg/qnw6+GXha00XQ9M8VXSWGmWSkRwhooHbGSSSWZiSSSSTXt9cuQxccmoK9/dT+/X8Nj0ePc7ocScZY7M6NP2catRyUdNFtd205na8v7zerPxB/wCDpLxR8Vof2nvhroF1c3sXhO08HPeaCAmIDqbXci3TKf4pFjSzyD90MuPvHP0r4J1b4MftG/C3wXpn7Tf7QFn8QNRbQ7XUNS8LeKvGNldWseomxIuJTaoVG+NZLjGciMFmGCoYfbv7RXwx/ZS+I194Mm/ad0bwpdXGl+KYJvA58T3ccLf2sf8AVJbh3XzZW2j90N2/aMqcDHG/8FBvg78LvjR8MvDXgL4q+B7HXNHuPGcUs2n3isEd0sb1kJ2EHhgD1r5jPMixF8VjFiGotX5VfWy2eq07aPQ+3q8e4PH8N5Hk6w0qMsK6idaKXM+eWrp6xu7azvKN5dTT/wCCc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P9nzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17H5yftofFvXfBuvfHjV9d+J95oPifTPF+g2/g+SS5hhltbUw2D2BthL8pje4a+JkIPzLcZP7o7e/wDBWp+A/jL4jl8H6H+0TP461C7tXtkjk8WW2oz2VtI6CR41iHyKSI9zEEfIv4/U3ij9nD4F+NfjLoH7Qviv4X6Vf+NfC9nLaaB4juIM3FlDIHDIpzjGJJMZB272xjJrs47e3ibdFAin1VQK+Uq8KYmvias5YlqE583Kk3dXT11Sutlo9l6H0eYcQ5bWwuHhh8PacY2k2kve5YQtG124+5zXdneclbTmk+iiivtD404r9oDSxqvwzuYzpy3Igure4IIJMZjlVw4x3UgH061b+Cfhc+DvhfpOhN5oZY5J3Ew+ZWmleYg8DGC5GOvHNdVRXCsClmTxnNq4KNvRt3N3Xbwyo263v8rBRRRXcYBXkH7P/gM6P8Q9f8RHTnsxBG9ktuoIjBe4aZsZ5Jzg9ejD1Fev0Vw4nArE4ujXcrezcnbvdW/A3p13Tozhb4rfKzuFfnn/AMHLviD4o6L/AME97Sx8Cy3iaPqXjmxtvGLWqZU2XlzPGsp6qhukt/YtsHfB/QysD4pfC34e/Gz4f6p8K/it4StNd8Pa1b+Rqmk3yForiPcGAOCCCGVWBBBBAIIIp5jhZY3A1KEZWck1f+unfyPf4Mz2hwxxXg81rUvaQo1IzcdNUn0vpzLeN/tJH5If8EnvjZDqn7EekeGvjP8AtZ3umW9pqF5p2neGL7xraWsDaUpULC0L/vDExaZMEjK8DAAr9S/2avDZ0LwPeak3mZ1nV3vsSdMeTDCCvH3SIQe/Unpiuq8DfDzwP8NPBulfD3wF4WstK0XRLCKy0rTbSELHbW8ahURR6AAdeT1PNbPTpXi5Rw9Wy7Exr1a7qWjypNaK9trt6adkb8XcS4fiTOsXjKFBUo1qsqiStom21eySvrq+9wrnPiF8ONO+IUVlHfXrwfY7jflEB3ocbk56ZwOa6OivoMThqGLoulWjeL3X4nytOrOjNTg7NGF4/wDA1n488O/2BPdtbbZVkimRA2wrkdD14JH41raVp1vpGmW+lWgPlW0CxR567VAA/lU9FEcNQhiHXUffaSb8lt+Y3VqOmoN6LUK/n3/4KTfFb9oTwv8A8F1rvxJdeNdW0DUtI8UaVYeGNTSdbY2ejSRRrmJ3+RYmjmuCzH5SZJC3Oa/oIridc/Zv+BXib43aT+0hr/wu0m78daFpj6fpHiaaDNzbWz+YGjU5xjEsgyQSBIwBGTXmZ5ldbNcPCnTqcjjJO/p+q3R+heG3G2C4GzHF4nE4ZV1WoVKSWmjla17/AGXa0utnpfZ/L/w5vfAnxl8WN4X8P/tAz+Or+cRxMz+KrbUZ7K281SxURD5EJClmYEZUc19rUyO3giO6KBFPqqgU+jJ8onlaqOdV1JTabb30Vu7PhsZi1iuVRhyqPT+rBXEeA/2bvgT8MPiL4q+LfgD4W6TpXiTxtPHN4q1i1t8TajJHu2s5JIByzE7QNxOTk8129FexKEJNNq7W3l6GNLE4mhTnTpzcYzVpJNpSSaaUkt0mk7Pqk90NjiiiG2KNVHooxTqKKowCg9OKKKAPIP2b/Ag0DxXr+uDTpLNUhj09LYKRGgSWWQhc8nHmevTFev0UVw5bgVl2Djh1LmtfX1bf6m+JrvE1nUta9vwVgrn/AIr6UNc+G2t6O2nLdrc6dKjWzAnzARyMDknHT3roKK6a9L21GVO9uZNX9VYyhLkmpdjgP2cfDDeHfAM13J5obVtUlvmWUYxuVEGOBwRGDz6+mK7+iissFhlg8HToJ35ElfvZF16rrVpVGrXdz8RP+Dojxj8X9M/an+GOmpqOo2nhnT/CTah4clhzHGuq/bHFzIjjkyqiWfuoKkY3HP1n+z98WtL+I3g/wS3jr9qO48WeLbrQrS5ufD9/4ws7pl1J7MeeUtoQG8xd8wwM7QW444+0/jB+zl8Dfj/deHrz4z/DHSvEcvhPWU1Xw6+pQlzY3aYIkXBGegypyp2jIOBXZLa2yNvS3QEdCEGa+YxvC+JxuNrVViXGNS2iu76Ws9UrLpvofpuceIOAzHgzKcmp4NRqYNVOaenvc8rrl0ur7zvvLVGP8NfDi+D/AId6D4TRpCNM0a2tQZcbj5cSpzgAZ4rboor66nBU4KK6Kx+XSfNJsKKKKsQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/Zw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f/BdLxv4cX4WfEGK0k+Buj6BF4pufAl/Hoct/bX1/qEsaaiY/s7gQXkABDYMm+MfMhFAH2jRRRQAyeeK1ge5uJAscaFnY9AAMk15D+yN+3Z+zt+27Z+J7j4D69q00/g/Vo7DX9O17w9daZd27SxCa3m8m6jRzDNEwkikA2uvIr164mW3t3uHRmEaFiqLkkAZwAOp9q+If+CN3xO1D9ofxN8dP2pPiL8LfH/hDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP9q/xXofgv9m/xnr3ijwz411fSxoU1vqdl8OLeeXXfs0+IJZbJbZlm86NJGlUwnzV8vKZYAHxX/gil4G8ffDj/AIJ0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8xagD6sooooA84/a1/av+Cf7EfwA179pj9obxJLpXhPw4sB1G6t7R7iUtNPHBEkcSAtI7SSIoUDPOegr0Kyu4NQs4b+2JMc8SyRkjBKsMj9DX5//wDBxj8GP2pPjZ+xgNF/Z8+BP/CxNK0u01q/8UaBbawLa7ST+yp7eyuoIRFK988MlxJMtqihpJI4sMpXn7m+FV14ovvhf4bvfG/hpNF1qbQbN9X0eK9FytjdGFDLAJgqiUI+5d4Vd23OBnFAG/RRRQB478TP24Pg78LP2ofDH7IeseH/ABnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP8AwUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/wBtf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/wCC1vxdilsfidb+Edf8SeLfEHiuXVTP/wAIheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/AG/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/wAQvC/gfwXrPiCa4bSW1PS/Ddk1xqjaWmrWcmoSWMagsbyO0W4khKfOJY0KfMFoA9h/Zs/aM+Fn7WXwW0X4+fBjVrq88Pa6s4tWv9PltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//AMEbvCXi/wAEf8E8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/8HEPwE8efGL9n/wzffBdPiCfHjJr/hbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/w34J1S5Wa50fQLOxuJlORJJFAkbMCfUqTW/QB//9k=", 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", "info": {"equation": "8+19*9=179", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a4f9188e218b896357d5a591dcf42114c2fe70bf6e6f487f6b7608d5a0b306da"} +{"episode": 67223, "episode_seed": 614831358, "split": "train", "timestamp": "2025-10-28T03:49:15.976099", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 614831358, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 0])", "action": "('move', [0, 0, 1, 0])", "reward": 0.0, "image": 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raKlJu3yuFfJX/BcfxH8WPC//AATJ+JGofCCW9jvJbW2t9Wm0+PdJHpctxHHeHjlUMLOHYdEZjwMkfWtcP+01Y2mp/s3/ABA03ULdZre48E6rFPE44dGtJQyn2IJFXj6brYKrTTteLV+2hPDmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/AAapax8TJfAfxc0G+iuf+ENg1fTZ9MkaACH+03ilW5CvjJbyUtCy54Gw8buf1vr50/4J3/CD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v8Ae2/wPoPEviLDcWccYzNaFL2UKklaOl/djGN3bTmlbmla+rer3CvnL9tzxTZfD23uvFuh2f2rVxpqJa2CKn+lXskghtIvmZQWeV0TBI4xzX0Lqup2ei6bPq2oS7ILaJpJW9FAyfqa+YG8J3/7S/7QU5u4ZV07wxYNrjFnVVbUJfMt9OiOUO4RxpcyNgghhCec8cPFT+tUKeBprmqTd0uyim2/nt82fN5SvZVJV5O0Yq3zf9XPZP2TbDwdp37NnguPwJcmfT5dBhuPtMkapLcXEo8y4llVGYLM8zStIATh2YZNeh14j+xyNW8MDxP8PLsL/ZyaxJquiKHUG3W5O+6gKBFIxdebKCS2RcYyNuK9ur2spxdLG5dTq09E0tOzWjXyZxYujKhiZQl3CiiivROY/nb/AG7fHX7Ur/8ABdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtfMcPUHRxWMvJv8AedfS/wB+v4H6n4j8a4Pi3LcnoUMMqLwuHVOTVveei0t9hct4p6pyl6sr+cD9u34oftE6P/wWn8T+L/EHifVNI8TaP8TktPDt9KUgex0tZRHZtEX+RIzaOjhjwRIXPLE1/R/XlWv/AAl/Y91D9q/R/if4k0Hwc/xjttAePRZ7m8iGrnT/AN6jPHAX3OgDTJ5mw4BZd2BiurPsrqZrQpwhU5OWSd/8vNdCfC3jjCcD43HVq+D+sKth500rJ2bs/ev/AMu3a0/Kz1tY+QfHumfsj/Hd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/wCxp8ONf+Kl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/wUf8AgX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/kWbDoP+neOvLyHA1cFnWJhUqubUYXb6317va1kfPZnm9LEcMUMKuZvncrO3LTUbq1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+1nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/wBpa+1z4J/D7xL8Tv219Qu/F2oeH7RtW0bUfHdkfNupY9vlvAAH3HcPlzu3Y719/wDwnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf/Bzb4j+LGi/sLaJpXgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP6OV5D+3X4I8J/Er9mfWPAPjzQYdU0bVtW0e31LT7jd5dxEdUtcq20g44HQiu3Oqbq5RXinb3X+Cv+Ox6PA2eUOGuMMDmdal7SNKpGTj3W11fTmV+aP95I/Lf/gjZ8eNXT9kN/DnxR/a/wBV8L2uj+I7mz8MaOfGtpYrFYeXHIdkcoL7fPkmwTx1A4Ar9Of2QPC+iRxXvjnw3cLLpt1o9jYaZLbSrJby28RldGjcZ3jEo+YEgjFTfsJ+AfBXw7/Z+g8CeB/DFnpmj6Tr+qW2m6faxYjgiW8lwozk+pySSSSSSTXsyqqgKqgAdABXgZFkVaDw+NqYiUko3UWtFzR2Tu9r9uiO3jfifD8Q8Q47F0MOqUa1SUrK17c19bL4nvLzbFrw7/gpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr66vTdajKmna6av2utz5bK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88H/AAQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0FfoFomh/CHQfjv8ADT4r/s/+JrXXPiB4h+LNtbaj4n07U4dS1HW7KVQNWiu5lYmS3isUEhXhYDDAVCEjd9k/sp/CT9j34X+DdX039j3QPB1todzr80us/wDCI3kVzD/aIRFkSR0dwrqoQeXkbQRhRmvD/CHwQ+EWlf8ABRW4+OmnfD7TovGGoeNrywvPECo3nyWy6C4EfJ2qMIgyACdoya/Op5Bicu+qOWIck6kUkr8qu27rX9FufsnFPiFguI+M8fmtPDzoRlSa5LLmqNQUeWtqlyveXxaJRtrzL7Fooor9KPww/mn/AGfPi58f9L/4K1/8Jt8T/iLq3hjxbqHj2+tPHGrz3cVlPaQtI6XUbPKNkKrGpQDooVQvRa/SL4+2P7MfxC8A+Kvir4j+NFv408U+HfC0j6D4kufFNvqWp6DNG/m2j2Pln9xMbzydhVd8sgjjJYEJX3B4Q+Ef7HekftSeKPiT4K8P+Dk+Ll/pMSeLZ7K7ibVvsZWHY08IctGjBIPnKruwmSeK8M/4KI/A34QfEr4uaX4v8e/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/Msx4dxOBwFSq8S3Hm+FXs7ySu9fi6vTfqfvvEfiXgOJ+KsBjKeFlhVRoQi+RJSfKnLljrFezekYtt2j73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6ZFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/AAW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXcKxfiRpY1z4fa5oj6ct4t5pNxBJauDiZXjZWTjnkEjitqinVh7WlKF7XTX3hCXJJS7HmP7MfhNtE0PWPEUgmVtZ1FJNsowMRQpECvGcHb7816dRRXPl+DWAwVPDp35Va/c0xFZ4ivKpa1ypr2jWniHRbrQ77PlXUDRuV6jI6j3HWs74feB7TwB4fGh2121wzStLNOybd7HA6c4GAB+FblFaSwuHliViHH30mk/JkqrUVN009HrY5jwf8LtK8HeJdR8SWd48jXxIjiZABCpbcyg9/m/QD6109FFGGwuHwdL2dGPLG7dvNu7CrVqVpc03dhRRRXQZni3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/8Aad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxXHnuU1s2o04U6nI4yTv8A11XQ/RvDHjzAcB4zG1sVhVXVehOklpo3ZpO/2JWtNLW1tHax8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvufAYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAK+a/+CiHiLXdF1P4R2F1q9zY+FL/4hGPxHPEQkMtwtjcPp0M7k/LG94sWB0aVYl5LBT9KVz/xU+FXw6+N/wAPtU+FPxZ8IWeveHdagEOqaTfoWiuEDBwDggghlVgQQQVBBBFcOZYSeOwFShGXK5K1/wCunR+R6uSY3DZfmdOviI80FdOyTaUouLlFPRyjfmjdr3ktVufnn8J/2gfD0/jz4m6bfftn32g6Rp3j6WDQNPt/GljZQon2S2kuhGrAs6C8e5G8k5IYZ4r7h/Zp8Wax4z8OXevXGunVNOuWjl07UROJUnDqSWjcfKyEbSCvHPFdb8Ovhd8PPhJ4F0r4Z/DbwfY6PoOiWaWulaZZwgR28K9FGck9ySSSSSSSSTW6qqoCqoAHQAV4mVcPYvAYinVqYqU1FW5dbbW7vRdNOiOzOc2wWOrVFhqChB2SenNaKSvKytzSteWr1b3Frw//AIKV+I/ix4R/YJ+K3iT4HyXqeJ7PwddSadNpse64iXAE0kY6h1hMjAjkFcjkCvcKSSNJUaKVAysCGVhkEehr6SvTdajKmna6av2utzzcrxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzyf8EMvjB4n8GfEjxn4M1T9oXUfBHhG40RL64SDxHb6fFPqKzRxxHMwOW8ppsheoUbvurX68fsrWHhTx/wCOtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfaPgT+zB+z7+zJ4ev/CnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV3UcUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXLZ8t076Xf6dz9A8SOPcDxpxPiczwmF9lGqoxV7cztFRvK2l3bvsl2HUUUV9qfmB/NX+zt8aP2i9C/4KzTeMPiP8T9a8KeKtY8c3th8QNVkvo7GaG2MzC6hkaT5IkVYwAp4Xy0C8qtfrx4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/w9+y9+z54U+N+t/tJeHfhLo9p468R2S2mt+Jorf8A0m7hAjG1jnAyIYskAFtgyTiu6jt4IjuihRT6qoFfC0+EMVrGeKfK5X5Um09b3eqV/k9e5+u+IniTl3GeYYbE4XBKj7KhCm9t1e9rL4I3tFb23teyfRRRX3R+RBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/8Atm/t1fs5fsEfD7T/AIk/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP8A8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/wDGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/AIIU69qV7/wS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P/FyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/wCCd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/wD8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/AAUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//9k=", 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", 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", "info": {"equation": "17*15=255", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 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": "17*15=255", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e9474964ae03e8c4e66a652c249946b83a5369d83116a260e0d3186c6b455bf5"} +{"episode": 67224, "episode_seed": 1272413959, "split": "train", "timestamp": "2025-10-28T03:49:16.028356", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1272413959, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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", 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", "info": {"equation": "17*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "17*1=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4e8237c03ceaac702db315da509da15080e612c9a29bc1494daae5551004cf9a"} +{"episode": 67225, "episode_seed": 3295585966, "split": "train", "timestamp": "2025-10-28T03:49:16.110932", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3295585966, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "13+11*1=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": "13+11*1=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "65278e3d24276bb637181e48f8f5f06028c7218058a362072bcea988ff13ef18"} +{"episode": 67226, "episode_seed": 1585915252, "split": "train", "timestamp": "2025-10-28T03:49:16.185214", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1585915252, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 8, 2, 6])", "action": "('move', [3, 8, 2, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "208/13=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "208/13=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4e4279f1afefe6bde79aa3dc320733724e2b1f1b5eba162a2a661550d5fd7d9e"} +{"episode": 67227, "episode_seed": 3377045728, "split": "train", "timestamp": "2025-10-28T03:49:16.247352", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3377045728, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 6, 2, 8])", "action": "('move', [6, 6, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "20*2=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Z5VSvADZb0v8A4JJ/tFeKdU/Y+sbH40/tn6z4fbSdXm07wzpk3jizszDpUMUKxKscoL7FfzlUt2UAfKFr7q/4KO/A34R/tAeJvh14L+M/gKy8RaVC2r3UVlfM4RZljt1VwUZTkB2HXHNej/sN+HPD/h/9mLw/oGh6La2ljYXmqW1laW8CrHBCmpXSpGoAwFVQAB6CvzurlWIxfE2Ip08RKDspXV72dtNGtF0P3TN/EvLMd4T5fw+sAlUoy1npy+7ze9HS/NO/v3633vp5R+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vrMlyn+yMPKm6jm5Scm2rb28327n4vjcX9cqKXLZJWsFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcabOSIXK9dpx+VenXpOtQnTTtzJq63V1a69CsrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PgPR/HcGm/tBfs9+Gv2bvFiXzXOtPHNp+jyw3cU3hP7BIlxcTHLFIVeK1CzAgGQBQWb5T8lf8HTHiz45H43/D3wNqEmox/Df/AIRk32loIttpPrXnzx3BLD78qQG3ADfcWZtv32r66/4J0/s4/Ar4LfFrwB4v+FXwv0vQ9U8SeALuTXL+zRzLeN5NjIdxdjgb3Ztq4GSOOBj2T/gpJ8Hfhf8AHXQvh78P/i/4Ks9f0WTxjPO+n3pcIZU0q+KPlGUggk96/N8HhZT4NrPnfxN/dbT0e/qfsPDPGeRcI+IWCx9LDOrSpRlFuSiqjc+Z86SbipQvyx97VJ6x5rR8E/4No9f+MWr/ALAt5pvxChvB4d03xfdw+BZbq2CK9mQsk4ibGZEF08/Jzht6g/LgfohXjH7Avhbw34G/ZvtPBng7RLfTdJ0rxLrtrpun2keyK3hTVboKijsAB9T1OSa9nr7rJYOnlFCLd/cj+Kv+GyPzjjbOqPEXFuNzKlSVKNWpKSiumvW3V7yfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rox2MoYDCzr1X7sV9/Zer2PnaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/AM/68z3+iiiv0M+dPjL/AIL3eL/jn4M/4JueK9Q+Bk2owyXN/a2nim60uLdLDo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxk8e/D79pm58G2fx11LwV4Q1jSJ7jxRLa67DYQyvDG/2Ys82V3CWQAbfmIYjpnH9Bv7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPluR+FuZcP1cEqlStK6npZ83KrzvrzU7c1Nq+ttrXeH4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPr2snyKeWYmpXqVnUlJJXa7ed3c/IMZj44qnGEYKKXb/AIZBRRRX0J5x4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/AO+BX8yH/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/wAR+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPF3xx8N/sTaLpnw2m1GDwvq3ilbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANVmWEljsDUoRlyuStf+unR+R7/AAXn9DhbirB5tWoqrCjNScH1XlfTmXxRfSSTPwB/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/AA195ePfh9+w/wDGq18R+NvjR4+8O/EOeLw+INX8QeJ/FFtqdxpWnKxKiJwwW0USEsGQKWdsEnOK+7/gX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAfLH/BQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/O824exeWZPz1MQ5KNvc15dX016X7H6NnniDl/FniFVzahTnhac7e9Tt7VqMVrK0oq8mlf3mo6fFbX3L/gnNrnxU8SfsP/AA11n40Lff8ACQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/XuldHX6Xh4Olh4QbvZJXe7st2fj+Z4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQV+U1t8V/E0f7Bfi7xd45+IOqQfF251PUDrMU4iOrQ+MxeN9ksI7U5+YSwW0cMKqc28aFQV+Y/qzXwH8fP2cvgXrv7WvjH9oHWvhdpdz40034l+HYrDxFOjNPAqw6Kq7Ru2ZCuwDbcjPByBXyfGWHlVw9CSm1aaWn97r6q2nqz6rg3MsrwftqWNpOSvComlFtunzfu3zWtCpz+81drli+SWxQ/wCC+3jX9pfQf+CWum3PhFNRtZtX1HTLT4ovp1uMw2EtrL56SFc+XE135EbbTgh9hO1iD8ef8Guev/GK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/wCCe3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xU47Cy/1twsud6xf/kqf59fmfcZL4j5fgfCTMeHJYKLqVp3U1bltJxd5Lfmhb3LeW3Lr9V0UUV9ofiB8TfHnxjr0X/BRvV/D/wAT/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wAMWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8ADvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly+FfszfEvVfHWs6bL4U+Jsni3S4o2trvU11VL1HCKcl5IvkMgJGTwSSM19DU2OOOJdsUaqPRRinV72UZdVyzDunUquo227vz6bv8z4/GYmOJqKUYKOlrIK8O/4KTeJPip4Q/Ye+IXiL4M3mrWuu22lQ5vNBt/NvbSxa6hW+ngXBPmx2ZuJFIBZSgIBIFe40detehXpOtQnTTtzJq63V1a69DTK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/9KV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZFa2VtZ2Uen28QWGKIRog6BQMAflXJeCPgzo3gnxNP4jtdQkn3Ky2sLxgCBWxnkfePYdOD3PNdlRU1sDhK9SnUqQTdPWPkEK9WnGUYvSW/mFFFFdZkfNP8AwVY8Q+MfD37Mdj/Ymqahp/h2/wDHOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv9r/4ceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP8As2fso6DqHhr9nj4PaP4VstVu1udSj0+Ji1zKq7FLvIzMQozhc4G5iACxz8rm/D+JzLMoYmnXcElbrdb/AA6re+uq+Z9tlHEOT4LJJYfEYfnqx9oo6R5Je0io802/eUqfxQspJvl+Dlbl88fC743aXqeqy+HvBX7VV34vv7kJLHYN4wtr+dBGT80aQ4YDLDdwQflzX1/4al1Ofw9Yza1Hsu3tIzcr6PtGf1q2ltbxNujgRT6qoFPrtyjJ6+W1Zzq4iVXmSWt9LerZ8xjMZTxMYxjTUbdv+GQUUUV7pwHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/98CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUKKKKACvCP2mPBEmv+OWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/+D6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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Z5VSvADZb0v8A4JJ/tFeKdU/Y+sbH40/tn6z4fbSdXm07wzpk3jizszDpUMUKxKscoL7FfzlUt2UAfKFr7q/4KO/A34R/tAeJvh14L+M/gKy8RaVC2r3UVlfM4RZljt1VwUZTkB2HXHNej/sN+HPD/h/9mLw/oGh6La2ljYXmqW1laW8CrHBCmpXSpGoAwFVQAB6CvzurlWIxfE2Ip08RKDspXV72dtNGtF0P3TN/EvLMd4T5fw+sAlUoy1npy+7ze9HS/NO/v3633vp5R+z94Y8HfE3WtBuPBHjEa9Yad4j/ALVutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vrMlyn+yMPKm6jm5Scm2rb28327n4vjcX9cqKXLZJWsFeHf8FJvEnxU8IfsPfELxF8GbzVrXXbbSoc3mg2/m3tpYtdQrfTwLgnzY7M3EikAspQEAkCvcabOSIXK9dpx+VenXpOtQnTTtzJq63V1a69CsrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PgPR/HcGm/tBfs9+Gv2bvFiXzXOtPHNp+jyw3cU3hP7BIlxcTHLFIVeK1CzAgGQBQWb5T8lf8HTHiz45H43/D3wNqEmox/Df/AIRk32loIttpPrXnzx3BLD78qQG3ADfcWZtv32r66/4J0/s4/Ar4LfFrwB4v+FXwv0vQ9U8SeALuTXL+zRzLeN5NjIdxdjgb3Ztq4GSOOBj2T/gpJ8Hfhf8AHXQvh78P/i/4Ks9f0WTxjPO+n3pcIZU0q+KPlGUggk96/N8HhZT4NrPnfxN/dbT0e/qfsPDPGeRcI+IWCx9LDOrSpRlFuSiqjc+Z86SbipQvyx97VJ6x5rR8E/4No9f+MWr/ALAt5pvxChvB4d03xfdw+BZbq2CK9mQsk4ibGZEF08/Jzht6g/LgfohXjH7Avhbw34G/ZvtPBng7RLfTdJ0rxLrtrpun2keyK3hTVboKijsAB9T1OSa9nr7rJYOnlFCLd/cj+Kv+GyPzjjbOqPEXFuNzKlSVKNWpKSiumvW3V7yfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rox2MoYDCzr1X7sV9/Zer2PnaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/AM/68z3+iiiv0M+dPjL/AIL3eL/jn4M/4JueK9Q+Bk2owyXN/a2nim60uLdLDo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxk8e/D79pm58G2fx11LwV4Q1jSJ7jxRLa67DYQyvDG/2Ys82V3CWQAbfmIYjpnH9Bv7UsEN1+zH8RrW4iDxyeA9XV0YZDA2UoINfO37AP7OnwM/Z9+OWr6F8Fvhhpfh211LwWlxfxWKMTcSi7CqzM7MxwOAM4GTgcnPwnEGAq4riHDRhVcHNNJr7PKm9NVufuHCPiPluR+FuZcP1cEqlStK6npZ83KrzvrzU7c1Nq+ttrXeH4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPr2snyKeWYmpXqVnUlJJXa7ed3c/IMZj44qnGEYKKXb/AIZBRRRX0J5x4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/AO+BX8yH/BV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/wAR+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPF3xx8N/sTaLpnw2m1GDwvq3ilbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANVmWEljsDUoRlyuStf+unR+R7/AAXn9DhbirB5tWoqrCjNScH1XlfTmXxRfSSTPwB/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/AA195ePfh9+w/wDGq18R+NvjR4+8O/EOeLw+INX8QeJ/FFtqdxpWnKxKiJwwW0USEsGQKWdsEnOK+7/gX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAfLH/BQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/O824exeWZPz1MQ5KNvc15dX016X7H6NnniDl/FniFVzahTnhac7e9Tt7VqMVrK0oq8mlf3mo6fFbX3L/gnNrnxU8SfsP/AA11n40Lff8ACQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/XuldHX6Xh4Olh4QbvZJXe7st2fj+Z4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQV+U1t8V/E0f7Bfi7xd45+IOqQfF251PUDrMU4iOrQ+MxeN9ksI7U5+YSwW0cMKqc28aFQV+Y/qzXwH8fP2cvgXrv7WvjH9oHWvhdpdz40034l+HYrDxFOjNPAqw6Kq7Ru2ZCuwDbcjPByBXyfGWHlVw9CSm1aaWn97r6q2nqz6rg3MsrwftqWNpOSvComlFtunzfu3zWtCpz+81drli+SWxQ/wCC+3jX9pfQf+CWum3PhFNRtZtX1HTLT4ovp1uMw2EtrL56SFc+XE135EbbTgh9hO1iD8ef8Guev/GK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/wCCe3wI+Dv7PnxT8eeDfgn8O9O8N6Zc+H9Furi005WxLMbnVF3szszMdqgDJ4A4xU47Cy/1twsud6xf/kqf59fmfcZL4j5fgfCTMeHJYKLqVp3U1bltJxd5Lfmhb3LeW3Lr9V0UUV9ofiB8TfHnxjr0X/BRvV/D/wAT/EdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wAMWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8ADvhLwv4S8P2PhTwx4es7DTNMs4rTTrC0t1SK2gjUJHGigYVVUAADgAV8ZieGMZXzOriYYlwUu17+j1Wi6H3VfiXJZ5LCjHDXrcsISuoqEVBW54PWTnUsnO6Vnzay5ly+FfszfEvVfHWs6bL4U+Jsni3S4o2trvU11VL1HCKcl5IvkMgJGTwSSM19DU2OOOJdsUaqPRRinV72UZdVyzDunUquo227vz6bv8z4/GYmOJqKUYKOlrIK8O/4KTeJPip4Q/Ye+IXiL4M3mrWuu22lQ5vNBt/NvbSxa6hW+ngXBPmx2ZuJFIBZSgIBIFe40detehXpOtQnTTtzJq63V1a69DTK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/hqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/9KV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZFa2VtZ2Uen28QWGKIRog6BQMAflXJeCPgzo3gnxNP4jtdQkn3Ky2sLxgCBWxnkfePYdOD3PNdlRU1sDhK9SnUqQTdPWPkEK9WnGUYvSW/mFFFFdZkfNP8AwVY8Q+MfD37Mdj/Ymqahp/h2/wDHOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv9r/4ceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP8As2fso6DqHhr9nj4PaP4VstVu1udSj0+Ji1zKq7FLvIzMQozhc4G5iACxz8rm/D+JzLMoYmnXcElbrdb/AA6re+uq+Z9tlHEOT4LJJYfEYfnqx9oo6R5Je0io802/eUqfxQspJvl+Dlbl88fC743aXqeqy+HvBX7VV34vv7kJLHYN4wtr+dBGT80aQ4YDLDdwQflzX1/4al1Ofw9Yza1Hsu3tIzcr6PtGf1q2ltbxNujgRT6qoFPrtyjJ6+W1Zzq4iVXmSWt9LerZ8xjMZTxMYxjTUbdv+GQUUUV7pwHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/98CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUKKKKACvCP2mPBEmv+OWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/+D6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", "info": {"equation": "20*2=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "254060965cd34fedae338e048f4e9c45b7a5221461aa2d8a63dc552e52bb9438"} +{"episode": 67228, "episode_seed": 2330085886, "split": "train", "timestamp": "2025-10-28T03:49:16.314835", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2330085886, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 0, 1, 1])", "action": "('move', [4, 0, 1, 1])", "reward": 0.0, "image": 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", 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YgA8j2j/gk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/4KKfBz4XfGn4deDvh/wDFXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0anCLwq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/AMEXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/AIOevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP8A4IjfHbxHp/wG8SeC/iH+1fq3hDQdF1qJPCmlf8Jfa2Ea+askt15aTAsV3tGxx8oZ2xyWr9nPjv4Q+C/jz4Q6/wCFP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPEU8S6d4paXurdtVo9/U/YcL4iYHD+Ev+rEsBzT9tz+1suXfmve1/a29z/r316HwLYeCfgd4P+N/wf8AiX+zXPpmpePtY+LsKSeI9IuodR1DXbK5dxrz3c4LNNGtqZZHc8QusQXZuCt+l1fEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qKKKK+sPjz5N/4LfeJ/jF4S/4Jo/EbVfgpLfxag1rbwatPpse6WLS5J0S8bI5VfJLhmHKoWPABI/Pz/g1f1r4rR/Hn4meHdNgum8Dy+E4LjWJBbAwpqi3KLaAydVcwveYUfeCkn7or9gf2kIIbn9nfx7bXEYeOTwXqiujDhgbSUEGvC/+CcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4r5PMMPJ8VYSfM9Yy0/wAKb/G+p+vcP8d4HK/CnM+HZ4RSqV6kZKppZJ8vxdbw5bwt1k9ra/VFFFFfWH5CeP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Zlubb4x3vhHSNa0e9j8V6xDrMNmZYViaWNXmnBAzcLD0+Yn2Jr+l2vHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/hFb2GeSO8V5T5VwqO3kMrNLiLCgHdhRivns8ySvmmMo1Kdb2fLfvf1jqte+q0P1vgjxBwfDPA2cZPVwPtpYpRtOytG/u++2npH4qe/v9r3PjP4veHf2O/ij4a8T/Ev4o/F/TvGup6P4XYf8JRqniy31C/0C3jcyRSWbIw+yyC4KsjIA7ybFJbIWvu39k/V/if4g/Zg+Heu/GuC5j8YXngrTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5ri6c6jm48qbfW6bu9Xqtj5TO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927looor7M+MK+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+zhyLkau37T46l1H3kvi3PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW58fia7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/AOCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQUUUV9EecFFFFABRRRQB+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ERvjt4j0/wCA3iTwX8Q/2r9W8IaDoutRJ4U0r/hL7WwjXzVkluvLSYFiu9o2OPlDO2OS1ftT8U/hX8O/jd8P9U+FXxZ8IWeveHdatxDqmk38e6K4QMGAOMEEMqsCCCCoIIIBqL4VfBz4XfA/4f6b8K/hL4G0/QfD2jxNHpulWMOIoFZ2dsZySSzMxJJJLEkkmvlMy4dxeOzR4qniHTTilpe6t0Wq0e++/Q/XsL4k5Zh/Cn/VSWCUqvtvae00ta/NzbX9p/y72t7Pr0PAv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUterk+V/wBk4V0XNzbk5NtW1dvN9u5+WYzFfW6qny2srWCiiivWOQx/iFpS674C1rQ5NOS8S90q4gktJM7ZleNlZDjnkEjj1rzr9l7wY+lX+v8AjOWKeM6hb2ViqSLhdts1y2RxnObhgecfKBwQa9dorza+XKtmdLGOX8NSVu/Np/XyOmGJcMLOjb4mtfQKKKK9I5jzu/8A2TP2btT/AGgLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX4Af8ABHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1f0s1518FP2Sf2a/2ctY8Q6/8Dvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvms7yPE5pi6VWlWdPkTWl7q/VWa1ez1Wh+tcFeI2XcLcE5tklfBqrPFpKMtLLS3v31tD46dk7Tvte58xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77n5njcasWopQ5VG+3n9wUUUV7hwhXhOifDUXn7RqX40qWzXTPENzrDeQpCSPJBPFvYtnh/OLcY+YcdCK92orzcwy5Y+pRk5W9nNS9bdDpw+JeHjNJX5lb0CiiivSOYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef8Agmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/wBtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/ABj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/AGTfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv8A41f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/AA//AGhfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v8A4Tc3hUz/ANpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/wDBRH4BftkeC/8Agsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/AMIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/wCCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/wCCpv7RP7X/AMQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f8AaOqXUHmKPMhlvblEWVMq/wBlOCcUAfYdFFFAH//Z", "info": {"equation": "88-31=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": "88-31=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a5e0f446ddaee99546e7289a8d8ad8ce6239e225a9d79723c30b394e866c7c8f"} +{"episode": 67229, "episode_seed": 2838952157, "split": "train", "timestamp": "2025-10-28T03:49:16.369282", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2838952157, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1])", "action": "('move', [1, 1, 5, 1])", "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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t7nxHD/EWHwWV4qUlJLlaVJW9lNyi4t1NV8OjSUJOVkuaGjX3PRRRX6Yfm4UUVwvxm+J9v4R0yTw/pczf2pdQjYygEQoSQWOe+AcD3zXJjsbh8vwsq9Z2S/F9EvNm1ChUxFVU4LVnlX7XPx30zw9Y3N60c13Z6TKlvaWFoV87UtQlkWGK3i3MFd3kdI0yRyxOcc13H7IPwCvfgf8ADV77xsLW48ceKrgat441K3gVd946jFqhDMTBbJiCIbiNqbursT5N+zT8N7j45/Hab4t+IrB/+ET+G+oy2PhaCYLs1HXhG0V1e7GjyUtkla2jYPjzTcHGURq+sK+f4dwdavOeaYlfvKuy7R6f129T0MxrQpxWFpfDHfzYUUUV9WeSFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtarex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+oleK/8FC/C3h7xx+ybr3g3xbpEV/peq6xoVpqNjPnZPBJrNkrocEHBUkcEHng15Wd0XiMorQUnH3W7ry1t87Wfkz7DgHiGhwrxjgs1rUFWjSndwfW6cbq+nNG/NF9JJH4Rf8EYfjf8Tfh/+0jJ4A07486p4L8EavYXF34rNtr0FjA8kMDi2cvPlQ/mui/L8zA4OVBx+q2lfEn4TeK/Eml22oftZDxfeQXvmaNpWqeO7O7Au2jeIPHFHtZpdkkiDrxI3GcY7H9gD9n74KfAD48+KfCnwY+Gml+HdPu/BdhdXVvYRE+dN9tu13szlmYhQAMnA7Yya+vFtLVWDLbRgjoQgr4nJ+HsVmWUxmsVKMZX92za3a/mS19D7DxR4+y/izjKpmGGwapx5YxV7c8rL4pWTXNrbd+7GKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+/y/BxwGChh078qtfufkuIrPEVpVGrXCiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXVOXJBytew8LQeKxMKKaTk0rt2Su7Xb6JdX2PNbP9nr/AIJtxftjzfEax8K/DcfG77Q15NGmpwHV1mNsC05s/MyJDCd5k8vcQ2/OSWPvn2Oz/wCfWP8A79iv5JY/iz8bPD/xub4y/wDCba7a+P7bX21CTXZJ3XUE1ESFmkZm+bzN+QQfcEY4r9zfhn8fdN1D4aeHb74hft86pb+IJ9As5Neg/wCFk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/wDEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue//wCCJXx58V2XwG8Q+CviP+1XqXg/w5oerRR+ENMTxXZ6cmZfOmuyqyje48x4zk8AuQD1A/RX/gpB8B/g9+0H8UPhp4Q+NXw/svEWmWujeIbu3s74uFjnWTS0DgoynO12HXHPTpXd/wDBPTwV4Q8D/AS88GeD/DVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8UW2qSadpa8sFO4LZwgksZUCEMzHeCa9x/wCCPWqeNL/9kWXT9Yk1CbwrpXjLVNP+Fl5qdosUt14XidFsXGAN8Y/erG5HzRohGV2seR/bY/Ze/Z7/AGhP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/wCYUUUV7Bxng/8AwU28U/GbwX+w3498S/AS51e38RW1na5u9AthNfWtg15At/PAuCfNjs2uZFIBZSgIGQK+Kv2yfjF4K+F/7InhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf8AsefAn4pal8avhD+z14c0DxRqwnF7q9haEORNJ5kqopJWIMw5EYUY46cV8tnvD+IzbGUq1OtycunXTW94+f3bLU+74a4jyTK8BGljsO5ypVHUikouNW6gvZ1W2moJwT0U7qU1yq/Mvl/Wvi38INe0+70HxF+3Vc6lpl7C9vfade/EuwaG6gcFXikAAJRlJUgEEgnkV7t+zv4JtPFHxL0n4pWFw8lnpGj3cdjcWzK1vOt0ICCGAIf5YlIKno2eQRX0D9is/wDn0i/79inqqqNqgADoBWWF4XrUsdTxNbFSqcjuk1+rk7HzdXNIToSpQpKN+3/DIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfHn/AAU/8YeJ/D3xa+B+keKfEN5pHwtvfEGoz+L75WWKyk1e3jgl0e3vZyR5cLSi4cKSFeWGIHJCg/YdYnxJ+G3gL4w+BNV+GPxQ8J2WueH9btGtdU0rUIQ8VxE3YjsQQCGGCrAMCCAa4M0wc8wwFTDxlyuS3/H7ns/I9rh/McNlWbQxGIp88LSi1pdKcJQ5o305oc3NG/2ktVufm58bPjtb+Ev26fAngrwp+0lceFIZ/C+qL8R4dO16ztEgto083T/OllBMcpuJmxHwzI4bBUk17D4G+PvhGDxDHZaN+2hP4gu79Ta2+l3fj2zuvOZyMBI4wGMnGBt55NfTn7P/AOyr+zt+yv4Wu/Bf7Pfwj0jwtpt/em7vbfToSTPNtC73dyzNhVAAJwO2Mmu9W0tVYMttGCOhCCvk8PwjmFPDqn9clHyjfl/9KX5Hr5xn+UV69OODw/uU48vNJRU5vmlJzklzJP3uVLmlaMYq7scl8D9Q8U6l4LE/idpXImItJbjO+SLAwTnqOuD3HPNdjRRX2WCw8sJhYUXJycVa73Z8nWqKrVc0rX6BRRRXSZHktv8AsI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooA+EPHnjLxNd/8ABSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/7aN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafHvw18VfD3xd4qur3wp8a08da/LawxzzyeJYNSu0to5HMcYEPKxiSZyPl+9KeeQK+sPgX4Bj+F3we8OfD6KWZxpOlRQbrggucDPzYAGefSupjt4IjuigRT6qoFPr1MmyGWVYipXnWdSU0ldr89Xc+PxmPWKpxhGCil/XZBRRRX0R5wUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHzp+2l/wVR/Y2/YI8U6X4F+P/jTV/wC3dU0mfVl0bwz4ZvNWubTTITibULlLWNzb2yHIMr4Xg+hr3D4a/EnwH8Y/h9ovxW+F3iqz1zw54i0yHUNE1jT5d8N5bSoHjkQ+hUjryOhANfl1/wAFJfDHxl/Zl/4KkfEX9rO5/Zn8f/Ebwd8Wv2SNQ+HXhqbwB4Wm1iSy1/7SZEtLqOEE28EowfOb5AWOehr7G/4I2/s7fFP9lD/gmJ8G/gD8bLFrPxVoHhFF1rT3lDtZSyyyT/ZyVJBaMSBDgkAqQKAPpqiiigAooooA5X43fGj4e/s8fCnW/jT8VdWmsvD/AIftPtGo3FtYy3MoUsqKqRQq0kjszKoVVJJYVx37Ff7bPwI/b9+C3/C/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8AC+gz6nqEy71XENrbq0szZYHaqk4BPQGvz6/4NqPHusaN+zb4w/Z68d/BL4l+EfENt8RvEPifPjX4eajpNrPYX1+Wt/KnuYkSSUqQWjUllHUUAfpbRRRQAUUUUAFfLF9/wWV/YR0f9pLTv2X/ABH428R6RrWseKJPDeja7rHgjUrXQ9Q1eN/Leyg1GWFbeWUSfJ8rEbuM19T1+Qf7TH7R1/8At2f8FTvDPwx/af8A2bvjZ4b+CXwJ+IdvdeCrHS/gxrF6vjnxRFM0MepXN7FbmK10yBvmTDfvVbezBWIUA/XyiiigAooooAK8b/a9/bp+B37E2jaZqvxfsfF2oS6x9oax0zwX4Kv9buzFAgeed4rOJzHFGrKWkfaoyOa9kr48/wCCw/jj4Wr8FbX4N/GT4Z/tG6jo3iKG6ubfXv2edP1GW6t7uGIxpaXL6c3mqkwnYhJFMDmP5yNooA+gP2Vv2qPgb+2n8C9D/aP/AGcvGqa/4S8QRyNp2oLbvC26ORo5I3jkAZHR1ZWUjgivQ6+M/wDggH8Lv2ivgx/wSu+G/wANf2nPh3/wiviDS0vUstEn0+K1uoNNN1I1obqOIBVuGjIZyRuJOW+YmvsygAooooAKKK8v/bWsf2j9V/ZM+IWk/sgtZr8TbzwtdW/gmW/uVhiiv5E2JIXchVK7iwJ43KM0Acl+z3/wUx/ZD/al/am+In7HfwQ+IFxrXjP4Wqf+EvSLTZBZwMsqwukdwRslZJSUYKThlYdjXvtfjT/wRj/Z2/bH/Zf/AOCuPinwr4z/AOCfM/w+8JL8CtE0LV9cPjj+1bVZLc+ab5b9bOKPUry6uCzzRIVaIysxLAYr9lqACiiigAooooA+XfjV/wAFc/2X/gh+0Vr37LWpeCfir4m8XeF7awuPEFt4C+FWq65Dp8d7GZLZpZbOF1QOqtjOPuMP4Tj6hjcSIsgBAYAgMMGvxw/4LG/DjX9H/aJ+I3xI/Yg+HP7Xej/tQeJL/wAN2/hTXPAVneReDtYitREqNczQ/wCiSW6RPcqy3Z3rITgBGOf14+Hw8YDwDoY+IZgPiAaPbf24bXHlfbPKXztmONvmbse1AGxRRRQB/9k=", 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t7nxHD/EWHwWV4qUlJLlaVJW9lNyi4t1NV8OjSUJOVkuaGjX3PRRRX6Yfm4UUVwvxm+J9v4R0yTw/pczf2pdQjYygEQoSQWOe+AcD3zXJjsbh8vwsq9Z2S/F9EvNm1ChUxFVU4LVnlX7XPx30zw9Y3N60c13Z6TKlvaWFoV87UtQlkWGK3i3MFd3kdI0yRyxOcc13H7IPwCvfgf8ADV77xsLW48ceKrgat441K3gVd946jFqhDMTBbJiCIbiNqbursT5N+zT8N7j45/Hab4t+IrB/+ET+G+oy2PhaCYLs1HXhG0V1e7GjyUtkla2jYPjzTcHGURq+sK+f4dwdavOeaYlfvKuy7R6f129T0MxrQpxWFpfDHfzYUUUV9WeSFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtarex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+oleK/8FC/C3h7xx+ybr3g3xbpEV/peq6xoVpqNjPnZPBJrNkrocEHBUkcEHng15Wd0XiMorQUnH3W7ry1t87Wfkz7DgHiGhwrxjgs1rUFWjSndwfW6cbq+nNG/NF9JJH4Rf8EYfjf8Tfh/+0jJ4A07486p4L8EavYXF34rNtr0FjA8kMDi2cvPlQ/mui/L8zA4OVBx+q2lfEn4TeK/Eml22oftZDxfeQXvmaNpWqeO7O7Au2jeIPHFHtZpdkkiDrxI3GcY7H9gD9n74KfAD48+KfCnwY+Gml+HdPu/BdhdXVvYRE+dN9tu13szlmYhQAMnA7Yya+vFtLVWDLbRgjoQgr4nJ+HsVmWUxmsVKMZX92za3a/mS19D7DxR4+y/izjKpmGGwapx5YxV7c8rL4pWTXNrbd+7GKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+/y/BxwGChh078qtfufkuIrPEVpVGrXCiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXVOXJBytew8LQeKxMKKaTk0rt2Su7Xb6JdX2PNbP9nr/AIJtxftjzfEax8K/DcfG77Q15NGmpwHV1mNsC05s/MyJDCd5k8vcQ2/OSWPvn2Oz/wCfWP8A79iv5JY/iz8bPD/xub4y/wDCba7a+P7bX21CTXZJ3XUE1ESFmkZm+bzN+QQfcEY4r9zfhn8fdN1D4aeHb74hft86pb+IJ9As5Neg/wCFk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/wDEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue//wCCJXx58V2XwG8Q+CviP+1XqXg/w5oerRR+ENMTxXZ6cmZfOmuyqyje48x4zk8AuQD1A/RX/gpB8B/g9+0H8UPhp4Q+NXw/svEWmWujeIbu3s74uFjnWTS0DgoynO12HXHPTpXd/wDBPTwV4Q8D/AS88GeD/DVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8UW2qSadpa8sFO4LZwgksZUCEMzHeCa9x/wCCPWqeNL/9kWXT9Yk1CbwrpXjLVNP+Fl5qdosUt14XidFsXGAN8Y/erG5HzRohGV2seR/bY/Ze/Z7/AGhP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/wCYUUUV7Bxng/8AwU28U/GbwX+w3498S/AS51e38RW1na5u9AthNfWtg15At/PAuCfNjs2uZFIBZSgIGQK+Kv2yfjF4K+F/7InhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf8AsefAn4pal8avhD+z14c0DxRqwnF7q9haEORNJ5kqopJWIMw5EYUY46cV8tnvD+IzbGUq1OtycunXTW94+f3bLU+74a4jyTK8BGljsO5ypVHUikouNW6gvZ1W2moJwT0U7qU1yq/Mvl/Wvi38INe0+70HxF+3Vc6lpl7C9vfade/EuwaG6gcFXikAAJRlJUgEEgnkV7t+zv4JtPFHxL0n4pWFw8lnpGj3cdjcWzK1vOt0ICCGAIf5YlIKno2eQRX0D9is/wDn0i/79inqqqNqgADoBWWF4XrUsdTxNbFSqcjuk1+rk7HzdXNIToSpQpKN+3/DIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfHn/AAU/8YeJ/D3xa+B+keKfEN5pHwtvfEGoz+L75WWKyk1e3jgl0e3vZyR5cLSi4cKSFeWGIHJCg/YdYnxJ+G3gL4w+BNV+GPxQ8J2WueH9btGtdU0rUIQ8VxE3YjsQQCGGCrAMCCAa4M0wc8wwFTDxlyuS3/H7ns/I9rh/McNlWbQxGIp88LSi1pdKcJQ5o305oc3NG/2ktVufm58bPjtb+Ev26fAngrwp+0lceFIZ/C+qL8R4dO16ztEgto083T/OllBMcpuJmxHwzI4bBUk17D4G+PvhGDxDHZaN+2hP4gu79Ta2+l3fj2zuvOZyMBI4wGMnGBt55NfTn7P/AOyr+zt+yv4Wu/Bf7Pfwj0jwtpt/em7vbfToSTPNtC73dyzNhVAAJwO2Mmu9W0tVYMttGCOhCCvk8PwjmFPDqn9clHyjfl/9KX5Hr5xn+UV69OODw/uU48vNJRU5vmlJzklzJP3uVLmlaMYq7scl8D9Q8U6l4LE/idpXImItJbjO+SLAwTnqOuD3HPNdjRRX2WCw8sJhYUXJycVa73Z8nWqKrVc0rX6BRRRXSZHktv8AsI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooA+EPHnjLxNd/8ABSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/7aN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafHvw18VfD3xd4qur3wp8a08da/LawxzzyeJYNSu0to5HMcYEPKxiSZyPl+9KeeQK+sPgX4Bj+F3we8OfD6KWZxpOlRQbrggucDPzYAGefSupjt4IjuigRT6qoFPr1MmyGWVYipXnWdSU0ldr89Xc+PxmPWKpxhGCil/XZBRRRX0R5wUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHzp+2l/wVR/Y2/YI8U6X4F+P/jTV/wC3dU0mfVl0bwz4ZvNWubTTITibULlLWNzb2yHIMr4Xg+hr3D4a/EnwH8Y/h9ovxW+F3iqz1zw54i0yHUNE1jT5d8N5bSoHjkQ+hUjryOhANfl1/wAFJfDHxl/Zl/4KkfEX9rO5/Zn8f/Ebwd8Wv2SNQ+HXhqbwB4Wm1iSy1/7SZEtLqOEE28EowfOb5AWOehr7G/4I2/s7fFP9lD/gmJ8G/gD8bLFrPxVoHhFF1rT3lDtZSyyyT/ZyVJBaMSBDgkAqQKAPpqiiigAooooA5X43fGj4e/s8fCnW/jT8VdWmsvD/AIftPtGo3FtYy3MoUsqKqRQq0kjszKoVVJJYVx37Ff7bPwI/b9+C3/C/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8AC+gz6nqEy71XENrbq0szZYHaqk4BPQGvz6/4NqPHusaN+zb4w/Z68d/BL4l+EfENt8RvEPifPjX4eajpNrPYX1+Wt/KnuYkSSUqQWjUllHUUAfpbRRRQAUUUUAFfLF9/wWV/YR0f9pLTv2X/ABH428R6RrWseKJPDeja7rHgjUrXQ9Q1eN/Leyg1GWFbeWUSfJ8rEbuM19T1+Qf7TH7R1/8At2f8FTvDPwx/af8A2bvjZ4b+CXwJ+IdvdeCrHS/gxrF6vjnxRFM0MepXN7FbmK10yBvmTDfvVbezBWIUA/XyiiigAooooAK8b/a9/bp+B37E2jaZqvxfsfF2oS6x9oax0zwX4Kv9buzFAgeed4rOJzHFGrKWkfaoyOa9kr48/wCCw/jj4Wr8FbX4N/GT4Z/tG6jo3iKG6ubfXv2edP1GW6t7uGIxpaXL6c3mqkwnYhJFMDmP5yNooA+gP2Vv2qPgb+2n8C9D/aP/AGcvGqa/4S8QRyNp2oLbvC26ORo5I3jkAZHR1ZWUjgivQ6+M/wDggH8Lv2ivgx/wSu+G/wANf2nPh3/wiviDS0vUstEn0+K1uoNNN1I1obqOIBVuGjIZyRuJOW+YmvsygAooooAKKK8v/bWsf2j9V/ZM+IWk/sgtZr8TbzwtdW/gmW/uVhiiv5E2JIXchVK7iwJ43KM0Acl+z3/wUx/ZD/al/am+In7HfwQ+IFxrXjP4Wqf+EvSLTZBZwMsqwukdwRslZJSUYKThlYdjXvtfjT/wRj/Z2/bH/Zf/AOCuPinwr4z/AOCfM/w+8JL8CtE0LV9cPjj+1bVZLc+ab5b9bOKPUry6uCzzRIVaIysxLAYr9lqACiiigAooooA+XfjV/wAFc/2X/gh+0Vr37LWpeCfir4m8XeF7awuPEFt4C+FWq65Dp8d7GZLZpZbOF1QOqtjOPuMP4Tj6hjcSIsgBAYAgMMGvxw/4LG/DjX9H/aJ+I3xI/Yg+HP7Xej/tQeJL/wAN2/hTXPAVneReDtYitREqNczQ/wCiSW6RPcqy3Z3rITgBGOf14+Hw8YDwDoY+IZgPiAaPbf24bXHlfbPKXztmONvmbse1AGxRRRQB/9k=", 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t7nxHD/EWHwWV4qUlJLlaVJW9lNyi4t1NV8OjSUJOVkuaGjX3PRRRX6Yfm4UUVwvxm+J9v4R0yTw/pczf2pdQjYygEQoSQWOe+AcD3zXJjsbh8vwsq9Z2S/F9EvNm1ChUxFVU4LVnlX7XPx30zw9Y3N60c13Z6TKlvaWFoV87UtQlkWGK3i3MFd3kdI0yRyxOcc13H7IPwCvfgf8ADV77xsLW48ceKrgat441K3gVd946jFqhDMTBbJiCIbiNqbursT5N+zT8N7j45/Hab4t+IrB/+ET+G+oy2PhaCYLs1HXhG0V1e7GjyUtkla2jYPjzTcHGURq+sK+f4dwdavOeaYlfvKuy7R6f129T0MxrQpxWFpfDHfzYUUUV9WeSFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtarex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+oleK/8FC/C3h7xx+ybr3g3xbpEV/peq6xoVpqNjPnZPBJrNkrocEHBUkcEHng15Wd0XiMorQUnH3W7ry1t87Wfkz7DgHiGhwrxjgs1rUFWjSndwfW6cbq+nNG/NF9JJH4Rf8EYfjf8Tfh/+0jJ4A07486p4L8EavYXF34rNtr0FjA8kMDi2cvPlQ/mui/L8zA4OVBx+q2lfEn4TeK/Eml22oftZDxfeQXvmaNpWqeO7O7Au2jeIPHFHtZpdkkiDrxI3GcY7H9gD9n74KfAD48+KfCnwY+Gml+HdPu/BdhdXVvYRE+dN9tu13szlmYhQAMnA7Yya+vFtLVWDLbRgjoQgr4nJ+HsVmWUxmsVKMZX92za3a/mS19D7DxR4+y/izjKpmGGwapx5YxV7c8rL4pWTXNrbd+7GKvoeX/su/D9/Ctl4h8XzC4WTxLqUFwY5gAoWK2igUoMA4ITOTnOcjivVKKK+/y/BxwGChh078qtfufkuIrPEVpVGrXCiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXVOXJBytew8LQeKxMKKaTk0rt2Su7Xb6JdX2PNbP9nr/AIJtxftjzfEax8K/DcfG77Q15NGmpwHV1mNsC05s/MyJDCd5k8vcQ2/OSWPvn2Oz/wCfWP8A79iv5JY/iz8bPD/xub4y/wDCba7a+P7bX21CTXZJ3XUE1ESFmkZm+bzN+QQfcEY4r9zfhn8fdN1D4aeHb74hft86pb+IJ9As5Neg/wCFk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/wDEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue//wCCJXx58V2XwG8Q+CviP+1XqXg/w5oerRR+ENMTxXZ6cmZfOmuyqyje48x4zk8AuQD1A/RX/gpB8B/g9+0H8UPhp4Q+NXw/svEWmWujeIbu3s74uFjnWTS0DgoynO12HXHPTpXd/wDBPTwV4Q8D/AS88GeD/DVlpuk6V411u107T7SALFbwpeyBUUeg/MnJOSSa/NZ5VXxXFNejTryg7c3Mt7Pl93daK+noj+hc58VcqzDwhwfDyy+KqU+SLl7vKuS/7yOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8UW2qSadpa8sFO4LZwgksZUCEMzHeCa9x/wCCPWqeNL/9kWXT9Yk1CbwrpXjLVNP+Fl5qdosUt14XidFsXGAN8Y/erG5HzRohGV2seR/bY/Ze/Z7/AGhP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/wCYUUUV7Bxng/8AwU28U/GbwX+w3498S/AS51e38RW1na5u9AthNfWtg15At/PAuCfNjs2uZFIBZSgIGQK+Kv2yfjF4K+F/7InhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf8AsefAn4pal8avhD+z14c0DxRqwnF7q9haEORNJ5kqopJWIMw5EYUY46cV8tnvD+IzbGUq1OtycunXTW94+f3bLU+74a4jyTK8BGljsO5ypVHUikouNW6gvZ1W2moJwT0U7qU1yq/Mvl/Wvi38INe0+70HxF+3Vc6lpl7C9vfade/EuwaG6gcFXikAAJRlJUgEEgnkV7t+zv4JtPFHxL0n4pWFw8lnpGj3cdjcWzK1vOt0ICCGAIf5YlIKno2eQRX0D9is/wDn0i/79inqqqNqgADoBWWF4XrUsdTxNbFSqcjuk1+rk7HzdXNIToSpQpKN+3/DIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfHn/AAU/8YeJ/D3xa+B+keKfEN5pHwtvfEGoz+L75WWKyk1e3jgl0e3vZyR5cLSi4cKSFeWGIHJCg/YdYnxJ+G3gL4w+BNV+GPxQ8J2WueH9btGtdU0rUIQ8VxE3YjsQQCGGCrAMCCAa4M0wc8wwFTDxlyuS3/H7ns/I9rh/McNlWbQxGIp88LSi1pdKcJQ5o305oc3NG/2ktVufm58bPjtb+Ev26fAngrwp+0lceFIZ/C+qL8R4dO16ztEgto083T/OllBMcpuJmxHwzI4bBUk17D4G+PvhGDxDHZaN+2hP4gu79Ta2+l3fj2zuvOZyMBI4wGMnGBt55NfTn7P/AOyr+zt+yv4Wu/Bf7Pfwj0jwtpt/em7vbfToSTPNtC73dyzNhVAAJwO2Mmu9W0tVYMttGCOhCCvk8PwjmFPDqn9clHyjfl/9KX5Hr5xn+UV69OODw/uU48vNJRU5vmlJzklzJP3uVLmlaMYq7scl8D9Q8U6l4LE/idpXImItJbjO+SLAwTnqOuD3HPNdjRRX2WCw8sJhYUXJycVa73Z8nWqKrVc0rX6BRRRXSZHktv8AsI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/37FSUVnTpUqV+SKV3d2Vrvu/M68XmGPx7g8VVlU5IqMeaTlyxW0Vdu0V0S0QiIka7Y0CgdABiloorQ5AooooA+EPHnjLxNd/8ABSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/7aN7o/giy8U2reEo7TxjYWVs9zNA0upeQSCZ4hOyESZK/McE8gfoZ+0R+yd+zl+1noFh4Y/aM+EWkeLLLSrs3Wmx6lG262lKlGKOhV1DA8qDhtqkglVx1PgT4c+A/hj4M0z4efD7wlYaRoei2SWml6ZY26pFbQoMKigfz6k5JyTXxNfhXG1czq4mGJcFLVNX5tem60XTXtofoNfijIp5OoRw167p06bTUVTh7PkvUg9ZOdTkXNeKtz1PelzafHvw18VfD3xd4qur3wp8a08da/LawxzzyeJYNSu0to5HMcYEPKxiSZyPl+9KeeQK+sPgX4Bj+F3we8OfD6KWZxpOlRQbrggucDPzYAGefSupjt4IjuigRT6qoFPr1MmyGWVYipXnWdSU0ldr89Xc+PxmPWKpxhGCil/XZBRRRX0R5wUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAHzp+2l/wVR/Y2/YI8U6X4F+P/jTV/wC3dU0mfVl0bwz4ZvNWubTTITibULlLWNzb2yHIMr4Xg+hr3D4a/EnwH8Y/h9ovxW+F3iqz1zw54i0yHUNE1jT5d8N5bSoHjkQ+hUjryOhANfl1/wAFJfDHxl/Zl/4KkfEX9rO5/Zn8f/Ebwd8Wv2SNQ+HXhqbwB4Wm1iSy1/7SZEtLqOEE28EowfOb5AWOehr7G/4I2/s7fFP9lD/gmJ8G/gD8bLFrPxVoHhFF1rT3lDtZSyyyT/ZyVJBaMSBDgkAqQKAPpqiiigAooooA5X43fGj4e/s8fCnW/jT8VdWmsvD/AIftPtGo3FtYy3MoUsqKqRQq0kjszKoVVJJYVx37Ff7bPwI/b9+C3/C/P2ddS1W58PDWbvSnbWdHmsLhLq2YLMjQzAOu1jjkdc+ldn8avixoPwL+Fus/FrxPoGv6pYaHai4udP8AC+gz6nqEy71XENrbq0szZYHaqk4BPQGvz6/4NqPHusaN+zb4w/Z68d/BL4l+EfENt8RvEPifPjX4eajpNrPYX1+Wt/KnuYkSSUqQWjUllHUUAfpbRRRQAUUUUAFfLF9/wWV/YR0f9pLTv2X/ABH428R6RrWseKJPDeja7rHgjUrXQ9Q1eN/Leyg1GWFbeWUSfJ8rEbuM19T1+Qf7TH7R1/8At2f8FTvDPwx/af8A2bvjZ4b+CXwJ+IdvdeC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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": "b1c7ca9b00921867f033528432ddad4962d4af23a2a9bdba024c6dd7b5b50981"} +{"episode": 67230, "episode_seed": 646585401, "split": "train", "timestamp": "2025-10-28T03:49:16.443499", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 646585401, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 7])", "action": "('move', [3, 5, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+3*2=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": "15+3*2=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "46b5882996cff0c039f14f83896e1ebd3c16d4ef0454ceaa999fd5b976b64a73"} +{"episode": 67231, "episode_seed": 3351560211, "split": "train", "timestamp": "2025-10-28T03:49:16.512360", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3351560211, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7, 5])", "action": "('move', [3, 4, 7, 5])", "reward": 0.0, "image": 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", 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LfQ/as98ScFmvBOS5PTwPs54S96tkrtaXpve8n79TVfvEtep8y/sB+GPCPw5/bc8c+B/gDoFjpvg6f4d6fe+MNO0KxhTT7TXBdMlmQYxiOeSy80vGMZSOFyAWDP8AblfMP/BO74JfCX4Ba/478DfBnwDYeHdJeDSbl7LT1ba8zG8DSMWJZmIVRkk8KAOBX09Xr8Kw5Mio63vd/i9D884uzClmOdyqU+ZqMYx5pW558sUuaVm1d9ruySXM7XZX8vPjb4s/tOWH/BTDUPib448U6tpHxLg+JTx32oXJSC4sZPP+zlR5nyRIkPyLn5FjAx8oBr+oavIIvg5+xKP2vZvipD4f8En41to376cX0J1n7F5Yi80wb9wXy8R+bszs+Xdg4oz/ACirmsaShV5OWV/+CvNdPnqfaeFXH+D4FWZe3wX1j6xRcVony2vpK/8Ay6lf3/8ADHRnyx4hP7Nnx11jTPDfxI/aDsviXHZ3zXGj+GvE3jSz1K2Nz5bqJharhZpFjaQAsrbQzEAHke0f8Emibb9m7XNA8ONI/gjSPiNrVl8NJjGvlPoiSoVEDrnzrdLlruOKQk7o415YYY6//BRT4OfC740/Drwd8P8A4q+CLLW9FuvHSST6fdBgjsmmagyHKFWGGAPBrr/2IPD+h+E/2ZtA8LeGNJgsNN0281S1sLG1jCR28MepXSJGoHQBQAPpXkZRl9bA8SThUrOo1Tvd9btKz1ex81ic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/gjf4++Jmkftl+H/AXh3xPeQ+HNfvTP4o01Jx5N4be3uGtndW+8ySvlSvzDc38O6v2T/Zm+IOqf8Jdrfgjwj8Q3vdQtPHF7Nc+HU1NJDYpJcEANCvzRRuMv83BLMwPp1XxP/ZR/Zy/Zh8CxN8APg/o3hQ+I/iDp93rZ0m3KfapQJtpOScKu99qDCrubAGTXo/7HUaD4UXkgQbj4u1nLY5P+nTV+bYTh3E0c3jhHXaahzXjfbn+Far19eh+reJnH2X8cZ1POMLhfZwajC0rczcY/FK11fXlWvwxjr0PVqKKK/Tj8bPzS/wCDnrxR8ZdE/Y68K6H4Hlv4vCer+LfK8bSWcf7twkfmWkUzDlYzKrMB90vGmeQoPy9/wQ9+NOq6J8CvFfhDxx+1HqHgvQ9O1+JvDumxeK7TTkd5Y3e6YLKN78+Tk9ATxzmv1s/b08E+FPiR+zJq3gLx1oMOqaNq2t6Jb6lp9zny7iJtWtMq20g4+hBrE/4J8fDP4f8Aws+FHiD4f/DvwhY6PoumeMZ47DTrOLEcKm0tGOM5JJZmJJJJJJJr4XNMsr43iblp15Qbp3uulnay1Wj39T9lwniDl9DwgfDUsEpVPb83Ppa1+bm2v7T/AJd7W9n16HynpPhf4N+BfjV8JfiL+zDqVle+O/EXxYgt7zxBol9FqF/4i0+4lLa79tmDMbiFLcPM7NkQyRQ7dhIB/SmviL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3a7uEaEqGErJybtUktfK2vz6nxXFuaU8x+qwjKU3CnrKfxNybfKtZe5D7N3dtylaN+VFfFPx08d3Om/t3+N7P4weLm0zR9J+HmmT+DYdUuEt7Iac7Tvql1GzEB3E0UKzMeUSOHO1SC32tXyp/wUZ+Anwb+PfjjwFpPxm+HWn+I7XStG1280+31FWKQziXTF3gKwzwSCDkHuK34tpOpkdRqVuVp+uqVn99/kcvCmKwOHzKVPFxbhVi4txScoaxkpRUmlf3eV6r3ZS16Pwr9p/wCIf7T1r/wb5N4u8NXOvLr8/hyK3u702Ahvj4ba+aJJ5EUDy9+m+SzsACFdmO3kj5q/4NX9a+K0fx5+Jnh3TYLpvA8vhOC41iQWwMKaotyi2gMnVXML3mFH3gpJ+6K/VC4t4J/+Ce72k0KtE/waKNHt+UqdJwRj0xXnn/BOP4F/CD4AeJ/G3hH4MfD7T/Dum3OjaHd3NrYK2JZ2k1JTIzOzMxwqjk8AcVwVsJKHEGBfO37jX/gMf/br6n6LgfETLcP4dZzkn1GKniq3tItW5YKUovleif7vl/d201e1tfqiiiivtD8UPH9U+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+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnlnxq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8Ttf/Zf+HeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xlOdRzceRNvrdN3er1W258jnecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5a/Or/AIOYfFHxi8P/ALCGmad8PZr+Lw9qvjC3tvG8tlH8ptPLd4Y5mHKxtcLF7FginqAf0VrmPjR4V+E3jb4T+IPC3x3sNIufB15pcq+JI9elWOzFoF3O0ruQI1UDdvyNu0MCCM19LmWFljcBUoRlyuSav/XTv5HHwVnlLhrizBZpVo+2jRqRk4dX6f3lvH+8kfiZ/wAEOvjn4n0f4UeMPA3jz9qfVfB3hnStTtn8Maavi210+LzphM12Y1mBYjIhJA+UFiRyzV9R6t4M+Bvhj4kfDX4vfs532m6x8S9T+MVj9j8U6Zew6nqmtC5nRNaW4nBYyxLpz3DyfwwKiFRHnn78/Zz+H37O/wAP/g3o3hj9mHSPDsPgeFJX0QeGriO4s3DSu0jpKjMJMyF8tuJznnivlvwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nPwWJyHE4B4TnxLknUgktbRv1jr92iP0HNuPMHnPGWZZtChKhGak/ZpL95ZKPLWV0kp6yqaT1bilrzL7fooor9LPxY/n//AODlDxZ8aLz/AIKER+HvGlxqEXhnSPDFlJ4DjdCkAjkRWupoiOGc3KurN9790g6KtfYf7LP7QVr8Qf2WvB2oftD/ALbV/NrWr+G4z4n0bVviBYxpMH3AwzRcMA0RUMpIbDHJBzX318c/2T/2cP2mL/QNT+PXwe0XxTceF7w3Wgy6rblzaSkoWxgjcrGNMo2VbaMg4rvzZ2hOTaxk/wC4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30P2HiPxMyzOuBcpyKngVGpg01Kelnpb3dG/f+Ope3vpb7nlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc/JcTXeJryqNWuFfy/eK/jR+1XoP/BTLU/ij4q8ba3oPxNX4iS22pak8y2txZlpjbPFl/kjiWA+WAf3YjAH3a/qBrzxP2Tv2b4/2gJP2qU+Dmij4hy2X2STxX9nP2povLEWM527vLAj343bPlzjivOz7J6+bxpKnU5OSV+v3q3VdPV6n6h4XeImXcArMVisGq/1mi4R20evuyv8A8u539+137sdGfLWhfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkqMpyKpluLliKtd1JSXLqul77ts/OcXj44miqcYKKTvp/wyCiiivojzjgf2jtFXWfh6jPpa3Is9ShugxBJgKbsSDHpnHPGCam/Z38Ht4M+GUNk4mD3uoXl/Ik4wymed5cYwMD5uM84ruOvWivNjlyWbPHc2rhyW+d73Ol4lvCKhbre/wArBRRRXpHMfLn/AAUb8T+ItD8afBjTNR1q60/wTf8Aja5HiO4jKpby38dm8mlwXMhI2RtcAsoyA80cK8kqrfN/gH4/aEv7RHxb8Ov+2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/D7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/wAXtP8Al3a1uT7X2TwP9ljQfCvjfxhoPi3wZ4u/t6w0W/vb+TWrXUo7xbq6lhuIpWlmTKs7NcyMQMHcOgAIr6ipEjjiXbGgUeijFLXrZPlf9k4V0XNzbk5NtW1dvN9u58vjMV9bqqfLaytYK+Kfjp47udN/bw8b2Xxf8XNpukaT8PNMn8GQancJb2Q052mfVLqNmIDuJooFmY8okcOdqkFvtavPfj9+yj+zl+1NaaPY/tC/CDRvFkWgXpu9HTVoC/2aVgAxXBGVYKu5DlW2rkHAqc9y2rmuXvD058run5O3R/1vY9XhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gH9lr46+F/F/7M/h+L4p/ts6kBd2Vzby6PqnjmwtBJpouJo7aKa3CgxhrQQhk4bDHODmvuD9lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2FiihEs4gFGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP8AqxOa5zQzCrWdGgqUaknKy2im7pKyW2y8gooor6k8E87v/wBkz9m7U/2gLf8Aao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+HfH3xm8CeC/id8D/AA98Lf2kX8OaTfaLqS3t7pfiK0h8/QVsEMMss8u7bm7htVUg5dhKOdrY/TmvOvgp+yR+zV+zlrHiHxB8Dvgzofhm88V3guvEE+mW203kgZ2XOSQqhpHIRcKNxwBXzWdZHic0xdKrSrOHImut1fqrNa9HqtD7DJM9yrL8pq0MTQ56nvuGkbSc4KHvt6pU7c8LKXvXXu35l8xeD5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT66cmyaeVSqynVdSU7XbXa/m77nzuNxqxailDlUb7ef3BX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orWH8Sfht4D+MPgPVfhh8T/AAtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrvzHCyx2BqUIy5XJWv/XTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/gh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWav0x/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9/8Ag/8AA/4SfAH4e2Hwp+DfgDTvD/h3TPM+w6VYQ4jiLu0jn5iSSzsxJJJJNdRHHHEu2KNVHooxXzGD4UxFGpRnVxTkqbUuWztddFd6fdse3x1xphOK+JsbmeGwqpRrvRaXtZRvKy+KVuaWr95vV7jqKKK+0Pz0KKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/AII2+FvH+oQftBftL+K/hr4k8H6P8Y/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/AGDfC+geLf2idf1OytfEuuxaTpK6VodxfO9xIyqC4hRhFGC6Au5C5dRySBXslfDH/Bwj4s1K1/4J/wBz8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/+NX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8ABSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/gtJ8RP2k/hj8FPjToHgrWPhRNYfEC7+Nej3MP2LxENXEsFhoz3RYraCIzu0dsxts7Cvav0qoAKKKKAI7q6trG1kvb24SKGGMvLLIwCooGSxJ6ADnNeU/sY/ttfs9/t9/CGf46fszeKLnWfDMGv3mjjULnT5Lbzbi2ZVkKLIAWT5gVccEGsT/gpf8P8A9oX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/wAUXXh7Q21Q3KfZ5rrLRQEwReZbQlVjiuVBS4QCRQo4oA++qKKKACvGv2xP26fgr+xDpvhe9+LukeL9TufGWtS6V4c0jwR4Qu9bvry5jtpLl1W3tEeQhYYpHJA4Ck9q9lr4d/4LkeCPhp4n+DPhXxF458E/tAX+seHrzVbzwLrH7PlrdvqOl62+nS28DTvZ/v4o5BM6Bh+7PzCQhTggH2Z4B8Zad8RPA2jfEDSNO1KztNc0q3v7a01jTpLO7hjmjWRUnglAkhlAYBo3AZWBBAINa1eSfsEp+0JH+xR8KU/awa4PxKHgLS/+E3N4VM/9pfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/4LG6p8av2f9K+MK658QB8O0+HGr+Bxc/8Iz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB/9k=", 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", "info": {"equation": "39+50=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "39+50=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1a9da5fbe1a1e8dc649ae8645297d0b64c11fd3103ed40cbf5e18bfbe6b44c3d"} +{"episode": 67232, "episode_seed": 1306137308, "split": "train", "timestamp": "2025-10-28T03:49:16.594208", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1306137308, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 2, 7])", "action": "('move', [1, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+11*4=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+11*4=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "43bfe15ebeb17f779a0a0340ffa607c1638ab53b8e6fd7c08e47a12b3a103a89"} +{"episode": 67233, "episode_seed": 443541222, "split": "train", "timestamp": "2025-10-28T03:49:16.654675", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 443541222, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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", 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", "info": {"equation": "71+2=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "71+2=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "2c884ce3c7ee39e99110892e82b1e69b165773fa12570849f403f4e9d6355959"} +{"episode": 67234, "episode_seed": 1311900254, "split": "train", "timestamp": "2025-10-28T03:49:16.723519", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1311900254, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7])", "action": "('move', [3, 4, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "4+99=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "4+99=103", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "140fc196836894fed2c6f8f223465cf8daf0d2dd185dbf45eec374b527b626b2"} +{"episode": 67235, "episode_seed": 4230804694, "split": "train", "timestamp": "2025-10-28T03:49:16.790737", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4230804694, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "5+7*3=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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F8wbC5U8Vu/tVaPpWpfsx/EXT7/ToZYLnwNq0U8bxjDo1nKrKfYgkV8Pi+GsVUxmIxEcU4qWtle9rbS1Wi2W+h+1574k4LNeCclyengfZzwl71bJXa0vTe95P36mq/eJa9T5p/YF0Tw78PP20PGvw2+Aml22neBm+H9lqPivR9DtYk0yx19rny7V1EfyxXM1krGRBjdHDA7DlWb7Yr5h/4J3fBL4S/ALX/Hfgb4M+AbDw7pLwaTcvZaerbXmY3gaRixLMxCqMknhQBwK+nq9fhaLjkVHW97v8XofnfF2YUsxzuVSnzNRjGPNK3PPlilzSs2rvtd2SS5na7K/lo+NHxl/aw0X9vjxd8TfEXirWtJ+KH/CWX9pf3UjLBcQM2+2a3w3yLF5B8oKfkEeAPlxX9S9eMfGL9k79nCLxF4u/apj+Duij4hy+Dr+0fxX9nP2oxfY3i6527vLAj343bPlzjijiDKK2awpezqcnI7/8H1XT1ep9j4W+IeXcA/2isVg1X+s0vZx20evuyv8A8u539+137sdGeAeG/HFv4P8AjXZ6VB8RDpF1qvgSygsdJGqJCdSKzzsdsZw8rxgcbOVDtnrX2j4GuNauvB+nXPiFGF69ohuN4wxOOpHYkYJHrmvB/wBjhEb4kaqzICR4E0XBI6fvr2vo2vN4OwFSng44t1W1NNKPRWk/P9Fuz4DOK8ZVnR5VdPfq9Aooor7M8YK/nE/4LoeMPjxqX/BUbxdH49uNUSTRbiyh8CRSQkLFpwRJIGtwOGDStI2RkmQtnkED+juviP8A4KLfAT4NfE/436h8QfiF8OdO1jWvC3w1tJ/D2oXqMzWMn2nU33IAQpO5FYbgcFQRXynGFF1cpTUmrSj876fhe5+seDvG2C4F4nqY3E4b20Z0pwsrXTdmmr6WduWXWze9rP6v+AWo/EDV/gT4K1b4s20kHiq68JabN4mhmgETx6g1rG1wrIvCESlwVHA6V1tFFfUwjywUb3sfluIqqvXnUUVHmbdlsru9l5LZBXzV+2Z4t0b4az6l4t0q0N1fpZRLHpyBB9qv5XEVtCuWUFpJHjU5I+9nNfQvirxLp3hHQp9f1Rj5UCj5V+87E4Cj3JNfL3h/wDqX7S3x7vJtZST+zfBtodVkkLBUn1y5V0s0IMZ3LBB50jYYYaeA4JHHyXFT+uqnl9KKlUk+b0UU9fnsvmellK9i5YibtFaerf8Aket/sR6f4Tsv2X/Clx4Tmab7dZvd6xdTQJHNPqkkrtfNMqMwWX7T5ysu5tpXbkhRXq1fP/7I8WteBviD4r8Dyhf7F1m5/tewh3orWd+cJeRbAgO2QrHMDljvM+duVz9AV7WS4yljssp1KatZWa7NaNf10OLG0Z0MTKMtet+6YV+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP7015F+1p8If2Kvivp3hqL9s3Q/BV3bWOtZ8LHxlfxWy/bXA/dQmR08xnCjMXIbaMqcDGefZfPM8udCM+V3Tu9tOj/AK3sff8AhNxjhuBuMqeZ18M68eWceWKTmuZfFC/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+AH/AAR3+L3j3wJ+2BHp1p8b9T8H6Br+mXZ8Y6hBrsVktwkUMkkBklnypb7QUwfvfOwHDNX9LNfEP/BN/wDZ/wDgr8I/ivp3iL4bfDXTNHv/ABN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJMFVxWa4SMKrg5cyuulle61W+zP1/gXj7AcN8CZzk9bBqrPEqPLJ2srrl96+vufHC17TvtuR+D5fAXxoutV8K+HfjpJ451XVtM+wXNwfE9vqN1a2r71AURDCIGkZslcZPJ7V9wQRCGBIQchEC8+wpI7eCI7ooUU+qqBT69jJsmnlUqsp1XUlO1212v5u+5+V43GrFqKUOVRvt5/cFfnV/wAHMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg11ZzSdbKq8E7e6/wV/x2Pb4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/AHkj8fv+CGfxm1rw98LfG3g3xl+05f8Agrw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+rL/wx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvIvAHwD+DOift4R/HrSfhxpsHjLUfilq1pe+IVRjcSQCyvV2cttUbY0BKgEheTyc/ntPKsRTw2BryryanOCUdfdv216eiP0POeOsDm/GmZ5rToypQmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+Jn8//APwcoeLPjRef8FCI/D3jS41CLwzpHhiyk8BxuhSARyIrXU0RHDOblXVm+9+6QdFWvsP9ln9oK1+IP7LXg7UP2h/22r+bWtX8NxnxPo2rfECxjSYPuBhmi4YBoioZSQ2GOSDmvvr45/sn/s4ftMX+gan8evg9ovim48L3hutBl1W3Lm0lJQtjBG5WMaZRsq20ZBxXfmztCcm1jJ/3BXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h+w8R+JmWZ1wLlORU8Co1MGmpT0s9Le7o37/x1L299Lfc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bn5Lia7xNeVRq1wrN8Y6eNW8JappZsUuRc6dPEbaTO2UNGw2HHODnHHrWlRXZOPPBxva5jF8skzxv9l3wL/ZGtaz4va3nh83TrTTI4ZE2oFged+ARnIMpU89gOua9koorhyvARyzAQwylzct9dt23+pviq7xVeVVq1/+GCiiivQOcK8J/aY+GzePPHA0f+ypEbXtETS3vrZSZHi3zcZOVBTzpGHHG4k8V7tRXm5rlyzTCewcuVXT+53sdOExLwtXnSvo0FFFFekcxleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eZyfh/4SaP4f8dXXjeC+kdpy7Q2zIAsTOfnOe/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwV+C3/AAc3eKfjLfftuaJ4T8XzX6eDrDwjBP4NgePbatJIx+1yoRw8nmIisT8wCRjgYz+9NeffH39lP9nT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCuDPctq5rl7w9OfK7p+Tt0f9bpH6H4V8bYHgDi+nm2Loe2gozjZW5o8y+KN9L9Hqvdcj88/wBjT9oFfH/7IPgy6/aI/ba1L+2dS0Fo9d0fVPiBZQiSAySIkUsR+cBrcRhgx3EMSTkmvu39lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2NiihEs4gAMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WPms6z2lm2KxFWnh40lVnKfLHaN5OXKtFotl5BRRRX1J86ed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMeUft0698UvC/7HfxJ8Q/BV79PFFn4RvJdIl0qDzbqJxGd0kKYO6VU3MoAJ3AYBOBXw74++M3gTwX8Tvgf4e+Fv7SL+HNJvtF1Jb290vxFaQ+foK2CGGWWeXdtzdw2qqQcuwlHO1sfpzXnXwU/ZI/Zq/Zy1jxD4g+B3wZ0PwzeeK7wXXiCfTLbabyQM7LnJIVQ0jkIuFG44Ar5rOsjxOaYulVpVnDkTXW6v1Vmtej1Wh9hkme5Vl+U1aGJoc9T33DSNpOcFD329UqdueFlL3rr3b8y8I+CHxjHiDWxoHw6/aPufG94tzHO1u/im31GSJfuciDBWM55yMd6+vBnHNMjt4IjuihRT6qoFPrsyjKq2WKftK8qrlbfpb5v+kj5zGYqGKceWCjbt/wAMgr5i/wCClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa7Myws8dgalCMuVyVr/107+R0ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/AOEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r374P/A74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/wCCNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/wBg3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf8Ac/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/AAUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/APaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8AFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/Z", "info": {"equation": "5+7*3=26", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "98d5d914938f74bb1760d41c2807ccd2c965e03d6762944a6e37bbe613b96ff2"} +{"episode": 67236, "episode_seed": 4022597007, "split": "train", "timestamp": "2025-10-28T03:49:16.881012", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4022597007, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 4, 2, 7])", "action": "('move', [4, 4, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "19+19*8=171", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+19*8=171", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d9705cf97938972f046e1535e97a470c2fe639482dd1355903157597e3a085c7"} +{"episode": 67237, "episode_seed": 3020035586, "split": "train", "timestamp": "2025-10-28T03:49:16.956392", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3020035586, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [2, 0, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2+17*2=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "2+17*2=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "05c4484a3d8fc06c56d09e3bfbf4b0c7eb4094b9b41d0ed709b3a74ccb98f562"} +{"episode": 67238, "episode_seed": 1220501002, "split": "train", "timestamp": "2025-10-28T03:49:17.016613", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1220501002, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 1, 7])", "action": "('move', [0, 0, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "1+47=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1+47=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "68d4aac44c2764538c48decf9d346405a0a54309aa8878f13e9a6bc2a2e20a1e"} +{"episode": 67239, "episode_seed": 3581290062, "split": "train", "timestamp": "2025-10-28T03:49:17.091963", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3581290062, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 1, 4])", "action": "('move', [7, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "165/15=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "165/15=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "199cb74b325824f94efa20ba05011f30d9dc55a84899b4f73264745aec60e114"} +{"episode": 67240, "episode_seed": 979346056, "split": "train", "timestamp": "2025-10-28T03:49:17.168021", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 979346056, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 6, 1, 7])", "action": "('move', [3, 6, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7+20*4=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "7+20*4=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a8b0de2b3268751b87c3f6f3f9a9fc7005dd7a6e702b45e7efe2bd12aec300cf"} +{"episode": 67241, "episode_seed": 2825841234, "split": "train", "timestamp": "2025-10-28T03:49:17.242085", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2825841234, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8])", "action": "('move', [3, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18*18=324", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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*18=324", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "a120c879f4ca34f27ce0c8c52cbe2fc2c12bb5176728ca3cf008f6339bcf4fb6"} +{"episode": 67242, "episode_seed": 737158500, "split": "train", "timestamp": "2025-10-28T03:49:17.287488", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 737158500, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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tI0axis9OsbWIJHDDGoVVAUADAFale5lOWUcpwcaFPfq+7/rY4cXip4us5y+S7IKKKK9M5Qryr9uPX/jl4V/ZF+IPiL9mqxurjx3Z+G55PDUNlaLcTG4GOY42BDuF3EDByQMAnivVaKzqwdWlKCdrpq63V+qOvAYmOCx1LESgpqEoy5ZaxlZp8sl1TtZ+R/IL4v1/xZ4p8V6l4l8datfX2t319LPq17qcrvczXDMTI8rP8xctnJPOa/aD/gn9+0x4t8X/ALJnhXXf2hP24dW0rxLJFMjWEnjrT7NorRJWW2Bh25T9yE+98x6nmtvx1+xx+y343m+Lnxu8YfA7Q9S8Vr4z8aT/ANs3kTu5khv75YmKFvLO0IoGV/hBOTX6JfA21tpPgp4PeS3jZj4W08klAST9mjr8ryLJ8TjMXiKdPESp8js2r+9q1rqu3nuf0Z4ueL2T8aZHgsNh8v5HF8zlPlbj7tuSm0n7jvq3y35Y+6rHwvD8NP2OvjV8Q7rxn4v8V+Hfip4pOlmFrvxV4ittcmtLFSuUihZjHBEGwSyxg7nJLZc567/gkjq+q2Xxb+LHw2+Dur3uofArQXsF8DS7hPptlqjq7X9np9zljLbp+6bAZlV5G5BJFSfty/sxfs//ALQ/7Zn2f42fCvTPESaT8L9NbTVvTIvkGTUtRDkeW65yEXrnpxXrX/BNXwh4W+H/AMI/FvgjwR4ftNK0fSviRqdtp2m2MIjht4ljt8Kqj8ST1JJJJJJruyTA1MNxXUpSquTgm2/5rpb6vvfrqj81xfEND/U2WHcqlSVVRioTt7Okoy5lKn70m5WXKvdp8sZzWqZ9E0UUV+lH5kFZPjvw54K8X+C9V8MfEfSdPv8AQL6wli1mz1aNHtpbYqfMEof5dm3Oc8DrWtX5j/8ABzf8Qf2ofCH7O3hDQPhNcava/D3XLy+t/iTe6XD8hb/RvsVvcSr8yQyFrgFeEdlVWz8qngzPGRy/AVMRKPMorZden3d/I+q4I4crcW8V4TKaVdUZVZWU5fZsnLTvLS0FdXk0rq9z61/Yx+AX/BNb4Z65ruv/ALDehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/2Kz/59Iv8Av2K/lA/ZL+MPxz+Cfxz0bxP+z18QtT8N69dzrYNe6beJD5lvKyrJHKZP3ZjPDHzPlUqrcFQR+6E/xx+HXmuIf+CguplNx2n/AIWbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/AIY5jwjntJ1cweK9tG6lUb9quWytK7lp/I762at7t394pFHENscaqPRRinV8zfCb4teJvHdzp2qfDr4kN4piRktRd2uppdwz7CoYSvESmc43twRu7Zr6Zr6TJs6pZzCcqcHFRdtet/61XQ/GMZgp4JxUpJ37BRRRXtHEFfnVovjrxbrP/BQ74uaR+0b4r1G28S6ffrp/wr8PawyW1q3hd184T6dHkC4eWWBjPIu9h9liDbduK/RWvj//AIKS/Ab4O/tB/HP4WeEfjV8PrHxFptr4W8U3dvaXxcLHOtxoaBwUZTna7jGcfN06V8vxfh5VsmlNSa5Gnbvraz++59dwhmOAwmKrYbGQbhXhy88VGU6bUlNOKk0ndx5ZLmi2n8S2fLfsT/Efxl4m/wCCkXjrRvhR4mutb+GzeAbd/G1xbRQzabY+J4pYoraGK5QZ85rPf5sYY7TGu4KQM/Pf/B0N4+/ac0Pwz4J8E+FrjWLX4VavBIfEstjDttbrU1l3QwXEi8kBF3rG2FLLuAJT5fsj/gmv8Mfh78HdX+Kfw8+Fng+x0HRLHX9KNrpunRbI0LaVbszHqWYk5LMST3Ndh/wUm8MeH/Gv7IGueD/FelRX+l6r4i8N2mo2U+dk8EmvaejocEHBViOCDzwa4cLg51eDeRVGrxcvkteX00t8z6rJeMcq4c8RsLmlLBqpRoWhyySUpaNe1e8VUu+aO9rKPM7cx/P/AP8ABIbxT+0R4V/4KA/D2X9m20vrjVL3WoLTX4bKyWdW0V5oxfGUMCFjWEFi5xtKqQc4B/p1r4O/ZX/Zg/Z8/Zz/AGvvAj/A74S6R4afVNM15dQmsI3Mk6pBbFVLyMzbQSTtBAzzjNfeNa8E0nHKpT5m7yenRW7evU6vGrjvAcecTU8VhMN7KMIKN3bnnre87XXu7RV3prfWyKKKK+xPx0+IP+CpPjTxZof7RHwc8OfEbxPqGifBm6nu7rxHfKVg06412ApLp1vf3JI8uHKvIFZlRpIkzkgCvFv+Cg/xvHw5v/hsnwz+OEnhvx4fHFp9ii0rUbVJjpdwGivZJ/Oz5MPkB9sp2guuAc8V+l/xE+HfgX4teCNT+G3xM8KWOuaDrNo1tqmlajAJIbiJuqsp98EEcggEEEA1wX7PH7Dv7JX7J95qWpfs7/AjQvC11rESRald2MLNLNGhJVC8jMwXJztBAJAJBIGPjc14YxWPzX61CvyrTveNl9n/AIdH6NlXFXD2FyzDrE4ZyrUIuKgow9lVvKUlKq2+ZNc1pLlnzxjFKUN18wzfHD4dl3WP/goLqe3JCkfE3T+n/fNdD4U+GXgb4z/DCL4WfDTVIrzw9f232KG+0C8S5SOMSAOwlG9Mhgck5AJINfZ/2Kz/AOfSL/v2Kekcca7Y0Cj0UYrKfCFetOLr4uU1F31Tf3Xk7Hysc4hCLUKKV/67C0UUV9ueGFFFFAHIfEr4Rab8Q7iHUf7Sezu4Y/LEqxB1dM5AYZHTJxgj7x61r+CPBml+BNCXQ9Ld5B5jSSzSY3SMe5xx0AH0ArYorhp5bgaWMliowSqS3f8AWnzN5YmvKiqTl7q6BRRRXcYBRRRQAV5T+3Hr/wAcvCv7IvxB8Rfs1WN1c+O7Pw3PJ4ZhsrRbiY3AxzHG2Q7hdxAwckDAJ4r1ais6sHVpSgna6aut1fqjrwGJjgsdSxEoKahKMuWWsZWafLJdU7WfkfnD8FPH37PFj+xvBrU3xijuPDjaFKvijxDrWsRm+N9dRmS7N2ZG+W+eSZmMT4YvIBt5ArjP2GP2kdV8S/syaBqvxk/bq1uw1XzbqK0trzxxp1jKNPjndLMvBsBjY26xkggH1FfcniX/AIJvfsK+MPjM/wC0H4m/Zg8K3njCXU49Rm1iazOZbtMETPEG8p3yoYsVJZvmOSSa9pNnaE5NrGT7oK+EwnB+PoSm1i3C7+ze79dVr9/qfc5zxPw9XwsoYTDynOpNTlKooJ07KXuQcb8ybk3KVoX5Y+4rHxB8P/FXwt8VeLrrUfD/AMcoPG3iKfT44Zrm48U2+o3iWcTsVjAiI2xLJMx+796Xk8gV9NfsvfDE/DPwNqXm/alm1/xHdaxPFdgBonm2LtAwCFxGMA5PPWvRktreI7o4EU+qqBT69jKOHJZZjpYqpXdSTVtV6bu7vsfH4vMliaCpRgopP+uiCiiivpzywrO8X+EPC3j/AML6h4J8b+HrPVtH1W0e21LTdQgWWG5hcYZHRgQwIPStGik0mrMqE505qcHZrVNbp90eS/s8fsI/sg/soazqPiP9nn4BaD4X1DVrVba/v7KF3mkhVtwiDyszKhbBKqQGKqTnauPVvsVn/wA+kX/fsVJRUUqVKhDkpxUV2SsvwOnHZhj8zxDxGMqyq1Ha8pycpO2iu229FohqRRxDbHGqj0UYp1FFaHIFFFFABX51aL478Waz/wAFD/i5o/7R3izUbbxNp9+un/Crw9rDJbWzeF3XzvP06PIFy8ssDGeRd7D7NEG27cV+itedftE/slfs3ftZ6Jp/h79o34PaP4stdJumuNMGpwtvtZGXa2yRCrqGGNyg7W2qSCVUjxM/yqrm+C9jTnytO/k/Jn1HDGb5dldSvSxtNuFaHLzRUZTg1KMlKKk0ndx5ZLmi2n8S2f51W/7Run23/BQ3xH4U8Efta3egeC5PA0Nz4vGm+JrG0s01+OSOCBI53BLv9mRhIgJ2smGCkCvXdR+KvwU8QxRWHjP9tEeILCO7guW0rWviLYy20ssMqzQs6LtLbJUjkHP3kXORwftP4QfA74RfALwBZfCz4NfDzS/Dvh/T9xtNL022CxozMWZjnJZiSSWYknua6b7HZ/8APrH/AN+xXg0uEcdHDqm8ZJK1rJO3p8S0+R0ZxxDleKxcXhMKowhFRTdlOVvtzsrcz7Juysrytd/PnwR+GL+I/jDovxNnF0i+GrK/jgZVAila6SNGDEjkgRggAjGea+h6MAdBRX0mTZXHKMEsOpc2rd7W38tfzPmcZinjK/tGrBRRRXqnKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBmeM/GXhT4d+EtT8e+OvEFppOi6NYy3mq6nfTCOG1t41LPI7HgKFBJNfLn7N3/Bb3/gnh+1P8YdE+CHwz+KGs2useLEuG8EXPibwjf6XZeKBAxEn9nXNzEkd1jB4Q5OMDJIFdp/wVZ/Z7+JH7Vv8AwTl+MX7PHwgCP4m8VeCLuz0WCSYRrcT4DrCWPCh9uzJ4+bmvyj+HPwx/aV/bO1//AIJ6fsyeC/2O/il4F1b9l/UIrr4ueKPGng2fStO0lbQWSMlpdSgJeGU2jsoiJyWiz1JUA/d6iiigAooooAKKKKAPI/2yv24P2ff2DvhnB8Vf2htb1W2068vTaWFtofh+61K6uplieZlSG2jdsLHHI7McKqqSSK2P2Uf2pPhF+2j8AvD37S3wI1S8vfCnie3ebSbm/sHtpXRZGjJaNwGX5kPX615j/wAFYPjXpPwg/Yn8aaPefDzxz4lvvGnh/UvD2i2PgPwVe63cC8nsZ/LaWO0R2hhJXaZWAUFlGckCvC/+Dbn4i3tt/wAE5/Bv7L3jL4O/Ebwj4t+HGirH4it/G/gDUNHgd7i6uXRbaa6iRbnCrltmdu5c4yMgH6DUUUUAFFFFABRRRQB8nftN/wDBaf8AYW/ZI8c6z4I+MOt+No08NXkVp4o8RaT8ONWvNH0aeQqFjub6KAwRt868bj94d6+mPh38Q/BHxb8B6P8AE/4aeJ7TWvD/AIg06G/0bVrCXfDd20qB45EPoVIPPI6HBr8n/wDgtP8AtmfHX9pX406p/wAEvdL+Afxl8HfBOQJH8Xfi54a+DOra9c69CPLmOmaQtvA8ao/CvdMSOGAGF2yfpR+xNovwh8N/sl/D7w38A/BmveHvBmneGLa08OaN4p0i4sNRtraJdii5guVWWOU7SzB1BJbOOaAPUaKKKACiiigAql4k8RaN4Q8O3/ivxHfLa6fplnLd31yykiKGNC7uQoJOFBOACeKu1i/Efxbd+Afh9rnjmw8Har4in0bSLm9h0DQoUkvdSaKJnFtbo7KrSyFdiBmUFmAJHWgD5g+Fn/Bbv9gv4qfHzwz+zbBr3jbw54l8bMy+Cv8AhN/hxqujW2vkZwbSa7gRZQ2PlI4bIAOSK+ua/D+P4ceNvjf/AMFoPgV+0l+wp8Bf2lZo9O8S3918Xr/9orw7qI0Tw/ptzNunj006uD9mlCtMI1tTtU+SE4zX7gUAFFFFABRRRQAVk+PfHfg34XeCdX+JHxD8SWmjaDoOnTX+s6tfzCOGztokLySux6KqqSfpWtXw3/wWs/Z7/bZ/ag8PfDT4V/s8fBTTPiJ8No/Ff9q/GHwLeePIvDr+JLa22SWenvdyRS4tWnG+ZFjYuIlXK53AA9j/AOCff/BTj9kz/gpz4K8QfED9krxRq2q6Z4Z1VNO1WbVdCnsWWd4/MUKswBYbe46dK+ga/Jb/AINrPBX7Y3ww+MX7UejfHP8AYvvfh14e8S/GPVNaTUNQ1Jo0t7xriTFjZQvbRi9tFVjtvYiI2CDCDcMfrTQAUUUUAf/Z", 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"info": {"equation": "0*6=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*6=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "34ba9aea00b41965edbb68fdd43f00255871eddbcd38fade786a1aa7f457e026"} +{"episode": 67243, "episode_seed": 1007213734, "split": "train", "timestamp": "2025-10-28T03:49:17.363117", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1007213734, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 8])", "action": "('move', [4, 1, 2, 8])", "reward": 0.0, "image": 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p8GaTpek21va2miRwWtvDCFSKNCVRFA6AKAAPQV8ljcpxGP4irRp15U7wi9L7bW3Wml/mfoOK48wFXwswHD/1Ne0oVpydTTVPmato3zPntK/SEd/sxfsweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX1+X4NYDBU8OnflVr9z8oxFZ4ivKpa1wrw/8AbP8AiXf+F/C6aF4dtRdak5jFhZZX/Sb6eQW9nB8zKPmmkUEEjgg5r2jVdTs9F02fVtQl2QW0TSSt6KBk/U186+CrC8+OX7V9vrmo2rnSvCMB1y4Em3a17OJLawiwUO7y4lupCQylXEJ5zx5Of1HiFTy6D96q9fKC1k/wt952ZfFU3LEy2gtPV7HtXwV+GOm/Br4V6H8NNMmEw0qxVLm78oIbu5Yl57hgCcPLK0kjcn5nNdRRRX0EIRpwUYqyWh5zbk7sKKKKoR/O3+3b46/alf8A4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX84H7d3xQ/aJ0b/AILT+J/F/iHxRqej+JtH+J0dp4cvpWSB7HS1lEdm0Rf5EjNoyOGPBEhc8sTX9H9fG/xl+CPwl1v9vi2+OGseANPufFuleI/DllpuuzIzTW9u3l7kUZ2jPmOM4zhiM1HFeHliMLRUZuP7yK089L+q3RXhVxtguCsdjquJwqrqth500nbRuzs7/YltNb2to7WPM/H2l/sjfHhpI/jX8cdJ+JNrpOl3zQ2virxpaahFpts8YFzcxxoVEbCNRmcjdGASrLkk/Wn/AAT/ANU8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/4F/B/wCN8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/wAkc8JcD/kWbDoP+neOufIcDVwWdYmFSq5tRhq+t9e72tZanzWZ5vSxHDFDCrmb53Kzty01HmVqer+Ny5p6RV4x+LddNXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMeqV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59vPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/AOE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/goJ4g+K3hT9iP4peJPge94niuy8FX0ujSadHvuI5BEcvEOu9U3MuOQQCMnFfk7/waza38T0/ad+JGh6Yl0/hG58FxXGvSCANEuoJdoLPc55VzHJe4H8QDE/dr9vr9itjMynkRMR+Rr5H/AOCYHwS+EvwTv9ZtPhP4BsNBj1vwdoeoasLFWzdXTNdAyOWJJPt0GTgDJr5jNKEpcQ4KfM18enor/jez8j9T4Y41weT+HGcZFUwynPEum4z00s18XX3bc0LbSbenX69rw7/gpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6KvTdajKmna6av2utz87yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wAEL/irrngn4peNvDeo/Hu98D+GL3w/FdXklt4gttPW6v451SAF5gSxEclz8q/U9BX39pfhj4LaX8e/hd8XfgRrlj4g+IesfF22iuvFVlqEGqalq1rNH5erpcTgktDHp4LEDCwiOHaF3fN9m/sp/CT9j34X+DdX039j3QPB1todzr80us/8IjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvzqeQYjL/qjliHJOpFJK/Krtu61/Rbn7JxT4h4LiPjPH5rTw86EZUmuSy5qjUFHlrapcr3l8WiUba8y+xaKKK/Sj8MP5q/2d/jR+0VoX/BWabxh8R/ihrXhTxVrHjm9sPH+qyX0djNDbGZvtUMjSfJGirEAF6L5abeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvWt8PPgf8ACPSf+Cgt18b9P+H+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOa+w47eCI7ooUU+qqBX5xlvDtbHRq3xMlGNSScd0+VrV62u/Q/Y/EvxCwHFmY4TE4bBKj7PDwg9t1e6Vl8Eb2it7dr2T6KKK/Rz8cCvPv2kdIGp+CLS4OmC4Njqsdwr7STAdkibxj2crzxhjXoNFcmPwn17BVMPzcvMmr9jbD1fYVo1LXs7nL/AAW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc+V/22PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+ef2X/ANpDw3N4Kl1fV/23r20t7TxjrCaDp1x43sLaE6ZFqMy2i+TjPlGJVAycsmDnnNffnx1/Z8+C/wC014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5fHcOYvF5nUxNPEumpJbXvorW3WnX1Z9d/b+VLh+jhfq960dG2o8tk5yTT1blLnSkmlZQWsua0OY+Auq69rHgb7brlzLOGun+yTzMWaSLAOcnqM5wa7WgAAYAor6PA4aWDwkKMpOTirXfU+Ur1FWrSmla/Qqa9o1p4h0W60O+z5V1A0bleoyOo9x1rO+H3ge08AeHxodtdtcM0rSzTsm3exwOnOBgAfhW5RVSwuHliViHH30mk/JiVWoqbpp6PWwUUUV0GYUUUUAeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/9n3Xfjxp/wC09rHwm0e48faXppsNP8USW+bmG3IkUoDnGdssi7iNwVyM44rjz3Ka2bUacKdTkcZJ3/rquh9BwxnGWZRVqSxtL2iaTSSi7yi7qEubanPadrtaO0rWfyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+542MxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8P/wCClfiP4seEf2Cfit4k+B8l6niez8HXUmnTabHuuIlwBNJGOodYTIwI5BXI5Ar3CkkjSVGilQMrAhlYZBHoa669N1qMqadrpq/a63N8rxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzyf8EMvjB4n8GfEjxn4M1T9oXUfBHhG40RL64SDxHb6fFPqKzRxxHMwOW8ppsheoUbvurX68fsrWHhTx/wCOtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfaPgT+zB+z7+zJ4ev/CnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV3UcUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXLZ8t076Xf6dz9A8SOPcDxpxPiczwmF9lGqoxV7cztFRvK2l3bvsl2HUUUV9qfmB+VVx8b9W0D4Q/C/WPFHx0v8Aw5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u76e+APxfj8ReKodA+H/AO0hc+OLr7ZDNNay+KrfUXhjzsORBgrGQTksMd8jFe9eHv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4jD8J42lJt4uSXNeyvrre71Wr66PXufbZ9xHlOPrKeEw3Le7ldRTUpttxja/uQ+GOzau7Rvyp9FFFfbnxIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", 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", "info": {"equation": "12*16=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "12*16=192", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ba143517f658dfe0ad84ca8996e452946c476a8d2314d45964c7f2c542f54593"} +{"episode": 67244, "episode_seed": 436168928, "split": "train", "timestamp": "2025-10-28T03:49:17.423332", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 436168928, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 1, 1, 8])", "action": "('move', [0, 1, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6*13=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "6*13=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "24e1803746e4694100f1437608aa01c85e27e814aa1785bfaed1b93b630d29e6"} +{"episode": 67245, "episode_seed": 1651910719, "split": "train", "timestamp": "2025-10-28T03:49:17.514687", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1651910719, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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", "info": {"equation": "3+20*10=203", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+20*10=203", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ce7795ca5c4acd0e1d6bf016e97795db6e6df9ef8a3bd3645ebacad4a9d659c4"} +{"episode": 67246, "episode_seed": 1798059820, "split": "train", "timestamp": "2025-10-28T03:49:17.589133", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1798059820, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 1, 2, 8])", "action": "('move', [4, 1, 2, 8])", "reward": 0.0, "image": 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Zj4U1TjVqzmoraKlJu3yuFfJX/BcfxH8WPC//AATJ+JGofCCW9jvJbW2t9Wm0+PdJHpctxHHeHjlUMLOHYdEZjwMkfWtcP+01Y2mp/s3/ABA03ULdZre48E6rFPE44dGtJQyn2IJFXj6brYKrTTteLV+2hPDmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/AAapax8TJfAfxc0G+iuf+ENg1fTZ9MkaACH+03ilW5CvjJbyUtCy54Gw8buf1vr50/4J3/CD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v8Ae2/wPoPEviLDcWccYzNaFL2UKklaOl/djGN3bTmlbmla+rer3CvD/wBs/wCJd/4X8LpoXh21F1qTmMWFllf9Jvp5Bb2cHzMo+aaRQQSOCDmvaNV1Oz0XTZ9W1CXZBbRNJK3ooGT9TXzr4KsLz45ftX2+uajaudK8IwHXLgSbdrXs4ktrCLBQ7vLiW6kJDKVcQnnPGWf1HiFTy6D96q9fKC1k/wALfefL5fFU3LEy2gtPV7HtXwV+GOm/Br4V6H8NNMmEw0qxVLm78oIbu5Yl57hgCcPLK0kjcn5nNdRRRX0EIRpwUYqyWh5zbk7sKKKKoR/O3+3b46/alf8A4Lpahq1smqyeMtI+KGn2vgS1NoGYWSTR/YEijPytG8TK3o3mOzcs1f0SV8dfHz4J/CXxF+3hp3xt13wDYXfizQ9Y8K2mj67MrGa0he8G5U52jPmPzjPzHBr7Fr5jh6g6OKxl5N/vOvpf79fwP1PxH41wfFuW5PQoYZUXhcOqcmre89Fpb7C5bxT1TlL1ZX84H7d3xQ/aJ0b/AILT+J/F/iHxRqej+JtH+J0dp4cvpWSB7HS1lEdm0Rf5EjNoyOGPBEhc8sTX9H9fG/xl+CPwl1v9vi2+OGseANPufFuleI/DllpuuzIzTW9u3l7kUZ2jPmOM4zhiM1HFeHliMLRUZuP7yK089L+q3RXhVxtguCsdjquJwqrqth500nbRuzs7/YltNb2to7WPM/H2l/sjfHhpI/jX8cdJ+JNrpOl3zQ2virxpaahFpts8YFzcxxoVEbCNRmcjdGASrLkk/Wn/AAT/ANU8c6z+xX8M9S+I7XratJ4StfMk1K1ENxJCFxbySoAArtAImYYHJOQDxXnn/BR/4F/B/wCN8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/wAkc8JcD/kWbDoP+neOufIcDVwWdYmFSq5tRhq+t9e72tZanzWZ5vSxHDFDCrmb53Kzty01HmVqer+Ny5p6RV4x+LddNXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/CW3sUCnUmB2RwmR1813A/1XzB9oypwMeqV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu59vPMfDLsulWlDnV0rPbV9f63ser4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/AOE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6Kvzj/AODm3xH8WNF/YW0TSvA8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0cryH9uvwR4T+JX7M+seAfHmgw6po2rato9vqWn3G7y7iI6pa5VtpBxwOhFdudU3VyivFO3uv8ABX/HY9HgbPKHDXGGBzOtS9pGlUjJx7ra6vpzK/NH+8kflv8A8EbPjxq6fshv4c+KP7X+q+F7XR/EdzZ+GNHPjW0sVisPLjkOyOUF9vnyTYJ46gcAV+nP7IHhfRI4r3xz4buFl0260exsNMltpVkt5beIyujRuM7xiUfMCQRipv2E/APgr4d/s/QeBPA/hiz0zR9J1/VLbTdPtYsRwRLeS4UZyfU5JJJJJJJr2ZVVQFVQAOgArwMiyKtB4fG1MRKSUbqLWi5o7J3e1+3RHbxvxPh+IeIcdi6GHVKNapKVla9ua+tl8T3l5ti0UUV9mfDhX87f7HHjr9qXU/8AgvFpHiPX01aXxzefFa7tfFsVxaAyx2G+SK8RkPCRR2gcDHCIi7egr+iSvjzwl8E/hLpv/BRe4+O9j4B0+PxjqPja8sL3xCEY3EtsuguBHydoGEQZABO0ZNfMcR0HVrYOSk1+9itPPr8rfifqfhvxrg+E8BnFCvhlVeKw8oRbt7r1Vnf7D5ryS1bjHTqvsOiiivpz8sP5q/2d/jR+0VoX/BWabxh8R/ihrXhTxVrHjm9sPH+qyX0djNDbGZvtUMjSfJGirEAF6L5abeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvWt8PPgf8I9J/4KC3Xxv0/4f6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5r7Djt4IjuihRT6qoFfnGW8O1sdGrfEyUY1JJx3T5WtXra79D9j8S/ELAcWZjhMThsEqPs8PCD23V7pWXwRvaK3t2vZPooor9HPxwK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0VyY/CfXsFUw/Ny8yav2NsPV9hWjUtezucv8FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3CsX4kaWNc+H2uaI+nLeLeaTcQSWrg4mV42Vk455BI4raop1Ye1pShe10194QlySUux5j+zH4TbRND1jxFIJlbWdRSTbKMDEUKRArxnB2+/NenUUVz5fg1gMFTw6d+VWv3NMRWeIryqWtcqa9o1p4h0W60O+z5V1A0bleoyOo9x1rO+H3ge08AeHxodtdtcM0rSzTsm3exwOnOBgAfhW5RWksLh5YlYhx99JpPyZKq1FTdNPR62CiiiugzCiiigDxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBX5iftHfGLXvCfgn4x+IfEXxWvdC8fWvxsNppsk1zBBdWYXUbdNJjhSX5VhfTkhlDkYKNNITwxH6d1werfsv/ALPuu/HjT/2ntY+E2j3Hj7S9NNhp/iiS3zcw25EilAc4ztlkXcRuCuRnHFcee5TWzajThTqcjjJO/wDXVdD6DhjOMsyirUljaXtE0mklF3lF3UJc21Oe07Xa0dpWs/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++u76e+APxfj8ReKodA+H/AO0hc+OLr7ZDNNay+KrfUXhjzsORBgrGQTksMd8jFe9eHv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4jD8J42lJt4uSXNeyvrre71Wr66PXufbZ9xHlOPrKeEw3Le7ldRTUpttxja/uQ+GOzau7Rvyp9FFFfbnxIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", 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", "info": {"equation": "17*16=272", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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YBGz6YlzItsQBjK7BhWPVQp5GCfsGvM/2OdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlcK+Sv+C4/iP4seF/+CZPxI1D4QS3sd5La21vq02nx7pI9LluI47w8cqhhZw7DojMeBkj61rh/2mrG01P9m/4gabqFus1vceCdViniccOjWkoZT7EEirx9N1sFVpp2vFq/bQnhzM6eTcQYTHzpqpGjUhNxe0lGSdvnY/Mj/g1S1j4mS+A/i5oN9Fc/8IbBq+mz6ZI0AEP9pvFKtyFfGS3kpaFlzwNh43c/rfXzp/wTv+EHwx+Bvh3xl8PfhD4JsvD+iw6/bzx6dYK2wSSWcJdyWJZiTjkk8ADoAK+i683hqDhkdBXvpf723+B9B4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e4V85ftueKbL4e2914t0Oz+1auNNRLWwRU/wBKvZJBDaRfMygs8romCRxjmvoXVdTs9F02fVtQl2QW0TSSt6KBk/U18wN4Tv8A9pf9oKc3cMq6d4YsG1xizqqtqEvmW+nRHKHcI40uZGwQQwhPOeOHip/WqFPA01zVJu6XZRTbfz2+bPm8pXsqkq8naMVb5v8Aq57J+ybYeDtO/Zs8Fx+BLkz6fLoMNx9pkjVJbi4lHmXEsqozBZnmaVpACcOzDJr0OvEf2ORq3hgeJ/h5dhf7OTWJNV0RQ6g263J33UBQIpGLrzZQSWyLjGRtxXt1e1lOLpY3LqdWnomlp2a0a+TOLF0ZUMTKEu4UUUV6JzH87f7dvjr9qV/+C6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WV/OB+3d8UP2idG/4LT+J/F/iHxRqej+JtH+J0dp4cvpWSB7HS1lEdm0Rf5EjNoyOGPBEhc8sTX9H9fG/xl+CPwl1v9vi2+OGseANPufFuleI/DllpuuzIzTW9u3l7kUZ2jPmOM4zhiM1HFeHliMLRUZuP7yK089L+q3RXhVxtguCsdjquJwqrqth500nbRuzs7/YltNb2to7WPNPHumfsj/Hd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/7Gnw41/wCKl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/AMFH/gX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/AJFmw6D/AKd46wyHA1cFnWJhUqubUYXb6317va1kfNZnm9LEcMUMKuZvncrO3LTUbq1PV/G5c09Iq8Y/Fuumryv9qP4Ufsf/ABRsvC8X7XOieD7uCx8RxP4T/wCEtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz7WeY+GXZdKtKHOrpWe2r6/1vY9Xwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/aWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff/wnu9cvfAOn3PiFpGuWRvnmzvZNx2ls8524+tcuVcRYbN8S6NKnJWV7u3dK2jfc+UzfJa2T16lKpOMuSbheLunZtXXk7aHRV+cf/Bzb4j+LGi/sLaJpXgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP6OV5D+3X4I8J/Er9mfWPAPjzQYdU0bVtW0e31LT7jd5dxEdUtcq20g44HQiu3Oqbq5RXinb3X+Cv+Ox6PA2eUOGuMMDmdal7SNKpGTj3W11fTmV+aP8AeSPy3/4I2fHjV0/ZDfw58Uf2v9V8L2uj+I7mz8MaOfGtpYrFYeXHIdkcoL7fPkmwTx1A4Ar9Of2QPC+iRxXvjnw3cLLpt1o9jYaZLbSrJby28RldGjcZ3jEo+YEgjFTfsJ+AfBXw7/Z+g8CeB/DFnpmj6Tr+qW2m6faxYjgiW8lwozk+pySSSSSSTXsyqqgKqgAdABXgZFkVaDw+NqYiUko3UWtFzR2Tu9r9uiO3jfifD8Q8Q47F0MOqUa1SUrK17c19bL4nvLzbFooor7M+HCv52/2OPHX7Uup/8F4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ff0SV8eeEvgn8JdN/wCCi9x8d7HwDp8fjHUfG15YXviEIxuJbZdBcCPk7QMIgyACdoya+Y4joOrWwclJr97FaefX5W/E/U/DfjXB8J4DOKFfDKq8Vh5Qi3b3XqrO/wBh815Jatxjp1X2HRRRX05+WH81f7O/xo/aK0L/AIKzTeMPiP8AFDWvCnirWPHN7YeP9Vkvo7GaG2MzfaoZGk+SNFWIAL0Xy028qtfrx4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPetb4efA/4R6T/AMFBbr436f8AD/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNfYcdvBEd0UKKfVVAr84y3h2tjo1b4mSjGpJOO6fK1q9bXfofsfiX4hYDizMcJicNglR9nh4Qe26vdKy+CN7RW9u17J9FFFfo5+OBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuTH4T69gqmH5uXmTV+xth6vsK0alr2dzl/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu4Vi/EjSxrnw+1zRH05bxbzSbiCS1cHEyvGysnHPIJHFbVFOrD2tKUL2umvvCEuSSl2PMf2Y/CbaJoeseIpBMrazqKSbZRgYihSIFeM4O335r06iiufL8GsBgqeHTvyq1+5piKzxFeVS1rlTXtGtPEOi3Wh32fKuoGjcr1GR1HuOtZ3w+8D2ngDw+NDtrtrhmlaWadk272OB05wMAD8K3KK0lhcPLErEOPvpNJ+TJVWoqbpp6PWxzHg/4XaV4O8S6j4ks7x5GviRHEyACFS25lB7/N+gH1rp6KKMNhcPg6Xs6MeWN27ebd2FWrUrS5pu7CiiiugzPFviN8Pj4j/aD06UaZJEJLzTb2S6gU/vRZyrMpYnIwGXacY4YdyDXtNFFefgcAsFUrTUr+0k5el0tDor4h14wVrcqsFfmJ+0d8Yte8J+CfjH4h8RfFa90Lx9a/Gw2mmyTXMEF1ZhdRt00mOFJflWF9OSGUORgo00hPDEfp3XB6t+y/+z7rvx40/wDae1j4TaPcePtL002Gn+KJLfNzDbkSKUBzjO2WRdxG4K5GccVx57lNbNqNOFOpyOMk7/11XQ+g4YzjLMoq1JY2l7RNJpJRd5Rd1CXNtTntO12tHaVrP5Y8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfU5PktTK6tSpUrOpKdtX5X83fc8bGY2OKhGMYKKjfbz+SCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K9ucIVIuM0muz1OfC4rFYKuq+HqOE1tKLcWumjVmtNCP7Jahtwto8567BUlFFWYBXzX/AMFEPEWu6LqfwjsLrV7mx8KX/wAQjH4jniISGW4WxuH06Gdyflje8WLA6NKsS8lgp+lK5/4qfCr4dfG/4fap8Kfiz4Qs9e8O61AIdU0m/QtFcIGDgHBBBDKrAgggqCCCK4cywk8dgKlCMuVyVr/106PyPVyTG4bL8zp18RHmgrp2SbSlFxcop6OUb80bte8lqtz88/hP+0D4en8efE3Tb79s++0HSNO8fSwaBp9v40sbKFE+yW0l0I1YFnQXj3I3knJDDPFfcP7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rrfh18Lvh58JPAulfDP4beD7HR9B0SzS10rTLOECO3hXoozknuSSSSSSSSSa3VVVAVVAA6ACvEyrh7F4DEU6tTFSmoq3Lrba3d6Lpp0R2Zzm2Cx1aosNQUIOyT05rRSV5WVuaVry1ere4tFFFfUnzwV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOflVcfG/VtA+EPwv1jxR8dL/w5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u76e+APxfj8ReKodA+H/7SFz44uvtkM01rL4qt9ReGPOw5EGCsZBOSwx3yMV714e/Zd/Z78KfHDWv2k/Dvwk0a08deIrJbTWvE0Vv/AKTdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4jD8J42lJt4uSXNeyvrre71Wr66PXufbZ9xHlOPrKeEw3Le7ldRTUpttxja/uQ+GOzau7Rvyp9FFFfbnxIUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/ALZv7dX7OX7BHw+0/wCJP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/APBbjw58S9A8RfBv9o/wf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/+E3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv8Axn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/2h/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/wCCFOvale/8EtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv+ChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/xcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP8Agnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/h8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f8A/BvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wAFI/g38cfFX/BZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf//Z", 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", 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", "info": {"equation": "17*16=272", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "daac2f28dbbf1e58a30e1ca045752f02647eaa6c3d2f533fb3f50a3073b86425"} +{"episode": 67247, "episode_seed": 2622971508, "split": "train", "timestamp": "2025-10-28T03:49:17.657305", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2622971508, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [6, 4, 1, 0])", "reward": 0.0, "image": 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", 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", 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ypp2umrrdXW/yPy/K8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TBWZ40n1+18HatdeFIfM1SPTJ202PaDvuBGxjGDwctjg8Vp0UmrqxUJck1K17dHsz+av/gmL45/aXv/APgrv4E8UiXWLvxvqvxCkTxu13a77lreWR11Uzq4+TbCZy3A2beMFQK/pUr4j+C3wE+DXhj9uaL446B8OdOtvF2ufEvxPb6r4gRGNxcRCPVRtJJIUfu487QM7RnNfblfKcI0HQwlaLk3apJa+Vtfn1P1nxf45wXHec4TFYbC+wVOhCLWl27t20+zG9odba2V7Ir4p+Onju5039u/xvZ/GDxc2maPpPw80yfwbDqlwlvZDTnad9Uuo2YgO4mihWZjyiRw52qQW+1q+VP+CjPwE+Dfx78ceAtJ+M3w60/xHa6Vo2u3mn2+oqxSGcS6Yu8BWGeCQQcg9xW/FtJ1MjqNStytP11Ss/vv8j4rhTFYHD5lKni4twqxcW4pOUNYyUoqTSv7vK9V7spa9H4V+0/8Q/2nrX/g3ybxd4audeXX5/DkVvd3psBDfHw2180STyIoHl79N8lnYAEK7MdvJHzV/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfqhcW8E/wDwT3e0mhVon+DRRo9vylTpOCMemK88/wCCcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4rgrYSUOIMC+dv3Gv8AwGP/ALdfU/RcD4iZbh/DrOck+oxU8VW9pFq3LBSlF8r0T/d8v7u2mr2tr9UUUUV9ofih4/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/v8Aa9z4z+L3h39jv4o+GvE/xL+KPxf07xrqej+F2H/CUap4st9Qv9At43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/AA0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4uG8HUwea4unOo5uPKm31um7vV6rY+UzvOKWL4cwmGXM3eUvetaml7qhT1btLSU9I6qKUfdu5aKKK+zPjCvq730ek3UmmJuuVt3NuuM5fado598V/NL+w94//at1D/grp4K8ZXr6zcfEu/8AiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv8AYlzXklreK06r7eooor60/IT4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv8A2mb/AEDU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/wBwV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCiiiu4wPOP2mNH/tTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv/AF8zpliXLCqhbZ3uFFFFekcwUUUUAFFFFABRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBWOe5bVzXL3h6c+V3T8nbo/63sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwD+y18dfC/i/8AZn8PxfFP9tnUgLuyubeXR9U8c2FoJNNFxNHbRTW4UGMNaCEMnDYY5wc19wfsreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWwsUUIlnEAowAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/1YnNc5oZhVrOjQVKNSTlZbRTd0lZLbZeQUUUV9SeCed3/wCyZ+zdqf7QFv8AtUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5L+3l4g+LnhX9jL4m+JPgOLz/AIS+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV81neR4nNMXSq0qzp8ia0vdX6qzWr2eq0P1rgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc/M8bjVi1FKHKo328/uCiiivcOEK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wr/Zi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/wDBb34K/E/48/8ABNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/AAoPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/AFCD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/AIOEfFmpWv8AwT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv8Agpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/wDGr/gq58If2Ufin8Ffilb/AAr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/wBvv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/h/+0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/Bvl4K+Pfw2/Z++Lngf42/srv8KIIfj/AOKLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/wDBcjwR8NPE/wAGfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP8AYo+FKftYNcH4lDwFpf8Awm5vCpn/ALS+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/BQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/wCCiPwC/bI8F/8ABY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/AIRnyrDUXi12219o/wBysSWTyyok/wAp+0MUy/T9hqACiiigAr5r+Bf/AAVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/AAVN/aJ/a/8AiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP//Z", "info": {"equation": "67-10=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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ypp2umrrdXW/yPy/K8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/AIIu/F3xr4B/akuvDtv8c9S8F+F9a0W4l8UXVtr0NjHO0KMbYvJNlSwlkwMfMQ7di1fsr8Bfi+3iXXYdB+Hf7Q1x44uIr6OaaJ/E8GovCrYXD+RjbGQp+8P7xBr3H4F/smfs2/szf23/AMKE+DeieFv+Ejvhd63/AGXbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TBWZ40n1+18HatdeFIfM1SPTJ202PaDvuBGxjGDwctjg8Vp0UmrqxUJck1K17dHsz+av/gmL45/aXv/APgrv4E8UiXWLvxvqvxCkTxu13a77lreWR11Uzq4+TbCZy3A2beMFQK/pUr4j+C3wE+DXhj9uaL446B8OdOtvF2ufEvxPb6r4gRGNxcRCPVRtJJIUfu487QM7RnNfblfKcI0HQwlaLk3apJa+Vtfn1P1nxf45wXHec4TFYbC+wVOhCLWl27t20+zG9odba2V7Ir4p+Onju5039u/xvZ/GDxc2maPpPw80yfwbDqlwlvZDTnad9Uuo2YgO4mihWZjyiRw52qQW+1q+VP+CjPwE+Dfx78ceAtJ+M3w60/xHa6Vo2u3mn2+oqxSGcS6Yu8BWGeCQQcg9xW/FtJ1MjqNStytP11Ss/vv8j4rhTFYHD5lKni4twqxcW4pOUNYyUoqTSv7vK9V7spa9H4V+0/8Q/2nrX/g3ybxd4audeXX5/DkVvd3psBDfHw2180STyIoHl79N8lnYAEK7MdvJHzV/wAGr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfqhcW8E/wDwT3e0mhVon+DRRo9vylTpOCMemK88/wCCcfwL+EHwA8T+NvCPwY+H2n+HdNudG0O7ubWwVsSztJqSmRmdmZjhVHJ4A4rgrYSUOIMC+dv3Gv8AwGP/ALdfU/RcD4iZbh/DrOck+oxU8VW9pFq3LBSlF8r0T/d8v7u2mr2tr9UUUUV9ofih4/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/v8Aa9z4z+L3h39jv4o+GvE/xL+KPxf07xrqej+F2H/CUap4st9Qv9At43MkUlmyMPssguCrIyAO8mxSWyFr7t/ZP1f4n+IP2YPh3rvxrguY/GF54K0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/AA0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4uG8HUwea4unOo5uPKm31um7vV6rY+UzvOKWL4cwmGXM3eUvetaml7qhT1btLSU9I6qKUfdu5aKKK+zPjCvq730ek3UmmJuuVt3NuuM5fado598V/NL+w94//at1D/grp4K8ZXr6zcfEu/8AiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv8AYlzXklreK06r7eooor60/IT4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3lH7MXx28O+Mf2ZPCZ+Mv7bF/LdahoITV9F1fx3YW6zWzFlSGaABSgaDYGTgjcQcHNfe/x0/ZO/Zv8A2mb/AEDU/j38HdF8VXHhe8a60GXVbcubSRihbGCNysY0JRsq2wZBxXfmztCcm1jJ/wBwV8ZX4XxlbH1q8cU4Kbvpe/o9Votlvofb4ziPKKuVUaVLDfvbU1NtRSj7OHIuRq7ftPjqXUfeS+Lc8p/Zd8IixOuePd0pGtLaQR7seWyQCUh045yZyM5I+UY6GvWqAABgCivpctwSy7AwwylflW+19bnx+JrvE15VGrXCiiiu4wPOP2mNH/tTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv/AF8zpliXLCqhbZ3uFFFFekcwUUUUAFFFFABRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBWOe5bVzXL3h6c+V3T8nbo/63sevw5mOX5djJ/XYt05xcW4pOcfejJSipNK/u8r1Xuylr0fwD+y18dfC/i/8AZn8PxfFP9tnUgLuyubeXR9U8c2FoJNNFxNHbRTW4UGMNaCEMnDYY5wc19wfsreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWwsUUIlnEAowAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/1YnNc5oZhVrOjQVKNSTlZbRTd0lZLbZeQUUUV9SeCed3/wCyZ+zdqf7QFv8AtUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5L+3l4g+LnhX9jL4m+JPgOLz/AIS+y8GX02gtp0PmXCTiIndEvd1G4rgE5AwCcCvwA/4I7fF7x74F/bAj0+z+N+p+D9A1/TLs+MdRg12KyW4SOGSSAySz5Ut9oKYP3vnYDhmr+lmvOvgp+yT+zX+zlrHiHX/gd8GdE8NXniu8F14gn0222m8kDOwzkkKoaRyEXCjccAV81neR4nNMXSq0qzp8ia0vdX6qzWr2eq0P1rgrxGy7hbgnNskr4NVZ4tJRlpZaW9++tofHTsnad9r3PmLwfL4C+NF1qvhXw78dJPHOq6tpn2C5uD4nt9RurW1feoCiIYRA0jNkrjJ5PavuCCIQwJCDkIgXn2FJHbwRHdFCin1VQKfXTk2TTyqVWU6rqSna7a7X83fc/M8bjVi1FKHKo328/uCiiivcOEK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wr/Zi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/wDBb34K/E/48/8ABNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv9rz4H/tr/AAoPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/AFCD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/AIOEfFmpWv8AwT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv8Agpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/wDGr/gq58If2Ufin8Ffilb/AAr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/wBvv4Qz/HT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/h/+0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/Bvl4K+Pfw2/Z++Lngf42/srv8KIIfj/AOKLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/wDBcjwR8NPE/wAGfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP8AYo+FKftYNcH4lDwFpf8Awm5vCpn/ALS+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/BQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/wCCiPwC/bI8F/8ABY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/AIRnyrDUXi12219o/wBysSWTyyok/wAp+0MUy/T9hqACiiigAr5r+Bf/AAVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/AAVN/aJ/a/8AiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/tHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP//Z", 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"info": {"equation": "67-10=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c309cd7a52dcb31496ff1934354923cf84abaf166bec1a4d93e4d0a650c40627"} +{"episode": 67248, "episode_seed": 1318491840, "split": "train", "timestamp": "2025-10-28T03:49:17.726010", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1318491840, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 1, 4, 4])", "action": "('move', [6, 1, 4, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "78-26=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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37N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/8Agop8HPhd8afh14O+H/xV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv8AaGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mPzS/4OevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP/giN8d/EWn/AbxJ4K+If7WGq+EdB0XWok8KaUPGFrYRr5qyS3XlpMCxXe0bHHyhnbHJav1n/AG9PBPhT4kfsyat4C8daDDqmjatreiW+pafc58u4ibVrTKttIOPoQaxP+CfHwz+H/wALPhR4g+H/AMO/CFjo+i6Z4xnjsNOs4sRwqbS0Y4zkklmYkkkkkkmvhc0yyvjOJuSnXlTcqd7rpZ2tutHv6n7LhPEHLqHhA+GpYJSqe35ufS1r83Ntf2n/AC72t7Pr0Oa/ZY0Hwr438YaD4t8GeLv7esNFv72/k1q11KO8W6upYbiKVpZkyrOzXMjEDB3DoACK+oqRI44l2xoFHooxS19Jk+V/2ThXRc3NuTk21bV28327n5LjMV9bqqfLaytYK/BX/g5v8T/GS/8A229E8JeMJb9fB1h4Rgm8HQSR7bVpJWP2yRCOHkMiIrE/MAkY4GM/vVXyr/wUY+A3wc+PXjjwFpPxl+Hen+I7XS9G1280+31FWKQziXTF3gKwzwSMHIPcVwcW0nUyOo07crT9dUrP77/I/QvCLi/CcE8a0syxND2seWcbK3NHmXxRvpfSz1XuykfJ/wCx78YdC+JH7EXg7Q/2i/2y76K41Pwu1nrvh27+IVnZxtZbpIo7d402vGjWwjUjcGIY5IJNe9fsJ6B4P+G/7b+t/Dv9nbS7PTvBlx8L4tQ8a6P4et4hplrqouoI9LmOziK5ms/teQMGSOCJ2zwx93udN064/wCCfMlvNYQsj/BsqyGMYIOk4xXAf8E4/gX8H/gB4n8beEvgv8PtP8OaddaNod3c2unq2JZ2k1JTIzOWZjtVRyeAOK8PD5ViMDn2E9pXlPmUnrfRJbbvR3Ma3E+GxWCzOqqbpqtJ2pRt7Jc873eq1p6ciUd0nzLls/qiiiiv0E/ODx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP8Aap0H/gqF4p+J3iDxfrWjfEnTviLPBa37yLbz2SLKYII03fIkQtyiKD8hjPOVJJ/ZzwT8dPCZ8TR2Gg/tnXXiG7vA1vb6TcePbO685m/uRxgOX442nPWvhYcZYOhKrGVBp8z2tr5y2s++5+0eIvhpmHC1DLJ1cesQq1FNXbfJaz5Yav8Ad+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP8AhL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/wCCPPxR8YeCP2zLc23xjvfCOka1o97H4r1iHWYbMywrE0savNOCBm4WHp8xPsTX9LtePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/AAit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXz2eZJXzTGUalOt7Plv3v6x1WvfVaH63wR4g4PhngbOMnq4H20sUo2nZWjf3ffbT0j8VPf3+17nxn8XvDv7HfxR8NeJ/iX8Ufi/p3jXU9H8LsP+Eo1TxZb6hf6BbxuZIpLNkYfZZBcFWRkAd5NiktkLX3b+yfq/xP8AEH7MHw71341wXMfjC88FaZN4ojvbYQzLftaxmcSRgAI/mFsqAMHIr5l/4KR/s/8AwU+LHxWuPFPxJ+Gmma1qHhf4aSXWgXF7Gx+xTeddNvVQQrHdGh+YEfKOK+1bElrKFmJJMS5J+lcXDeDqYPNcXTnUc3HlTb63Td3q9VsfKZ3nFLF8OYTDLmbvKXvWtTS91Qp6t2lpKekdVFKPu3ctfnV/wcw+J/jFoH7CGmad8PJr+Lw/qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEU9QD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INfQ5zSdbKq8E7e6/wV/wAdjl4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/eSPyC/wCCHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv/wAJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXT/8E9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk19ARxxxLtijVR6KMV8nk3D1avQw2KniZOK5ZqFtFbVJe9p92x7viBxfheJOK8dj8PhlSjWk7LS9rKN5WXxStzS1fvN6vcdRRRX3x+chWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/4K8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+W9C+JPwx8V+K7HT4/2r38ZXcdy76RpGoeOLS9/fGN08yOKPDNII3kXvhXbjuPrn4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc811a2tqjBktowR0IQVJUZTkVTLcXLEVa7qSkuXVdL33bZ4eLx8cTRVOMFFJ30/4ZBRRRX0R5wUUUUAFFFFAHy5/wUb8T+ItD8afBjTNR1q60/wAE3/ja5HiO4jKpby38dm8mlwXMhI2RtcAsoyA80cK8kqrfN/gH4/aEv7RHxb8Ov+2De+HNA03VtLTT7G18X2NjAuoGyAv0j3gtJtKW4YknbIXTgqwH6J/FT4VfDr43/D7VPhV8WfCFlr3h3WoBDqek6hHuiuEDBhnGCCGVWBBBBUEEEA1D8Kfg38Lfgd8PtN+FXwl8DafoPh7R4mj03SrCHEUCs7O2M5JJZmYkkkliSSTXyeZcO4vHZo8VTxDppxS0vdeS1Wj3336H2eH4gyijw6sLPD81dLkvaPLy+09p7S/xe0/5d2tbk+19k8s/ZU+IepeOtQt7jw/8R5PFmjR2TQz6t/aiXiO0fAJlj+QybuDjBPORxx7zSJHHEu2NAo9FGKWvayrAVMtwvsp1XUd27vz+b/Pc+VxeIjiavPGKjpayCvin46eO7nTf28PG9l8X/FzabpGk/DzTJ/BkGp3CW9kNOdpn1S6jZiA7iaKBZmPKJHDnapBb7Wrz34/fso/s5ftTWmj2P7Qvwg0bxZFoF6bvR01aAv8AZpWADFcEZVgq7kOVbauQcCsc9y2rmuXvD058run5O3R/1vY9fhzMcvy7GT+uxbpzi4txSc4+9GSlFSaV/d5XqvdlLXo/gH9lr46+F/F/7M/h+L4p/ts6kBd2Vzby6PqnjmwtBJpouJo7aKa3CgxhrQQhk4bDHODmvuD9lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2FiihEs4gFGABGMAVKAAMAYA7CvOy/hytg8dDE1cTKpyJpJrurdZP+rE5rnNDMKtZ0aCpRqScrLaKbukrJbbLyCiiivqTwTzu/wD2TP2btT/aAt/2qNQ+DmizfEK1s/stv4qe3JuUi8tovXaW8tmTeRu2nbnAAr0BbW1RgyW0YI6EIKkoqIU6dO/Kkru7t1fd+Z04jGYvFqCr1JT5IqMeZt8sVtFX2iruyWiCiiirOY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/A74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5rO8jxOaYulVpVnT5E1pe6v1VmtXs9VofrXBXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO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"info": {"equation": "78-26=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "14531bdcdecdd3534c226536813d3360fd21da91b57faeb768e43c000608fe04"} +{"episode": 67249, "episode_seed": 2473836332, "split": "train", "timestamp": "2025-10-28T03:49:17.808928", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2473836332, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 7])", "action": "('move', [3, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+15*7=113", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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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Xwc+Fviv9uHwj8WvEvgawvvEnh2Pw1BoesXCM0tlHLq1yJAnO3kM3JBIycYpn/BR/4L/Cj4neKfCOs/EDwFp+rXXhjQtX1HQJbuMn7FdCWxxKoBALDav3gRwOK/OMxyutJY2sq8lGNRXj0fM4tdel9NOh+xY/xBwGaf2DSp4d0XhKHJKcLc0nFNWjqvdly63ejnN8srWl9K/C678Wah8MvDt/49gaLXZ9Cs5NaieMIUuzChmBUcKQ5YYHArdoor9PiuWKR+H1ZqrVlNJK7bstlfovI/nD/Yd+J/7RNz/wVnuI/H3iPVrfWfE/jW+h+I9ldMI2umimeUwzRngeXcxRFVXldgAwuRX7QfsReM77WNRl8N6N41fVbbTtY1eLVbMX6zDTmN3Mywsq/wCqIyuFb5sN6Gtz4+fs5/A74c/8JD8cPA/wy0rTPFvjPxHoi+J9dtYSJ78RXkQTec4HQE7QNxALZIzXe/ssIi/A7SSqAE3V+SQOv+mz1+fYDIcRhs9VOVd+6ufS+q537r167vzb9T9X8R+PMBxtiaeOw2EVGMaUKXLp8UY3ctOivyx68sY3tsvQ6KKK/Qj8kMD4rXni7T/hd4lv/AEDS69BoF5JokSRB2e7WBzCAp4YmQKMHg1+KH/Bs74o+M2p/t4/ENtSm1G5sNV8H3N141ubuEsW1AXsZheZ2G5ZS8lzx1OXyODj9zq+TP2Dvg98L/hp8c/GHifwD4IsdK1HxXa3l/4jvLZW8zULn+05f3khYnn52wBgDccDmvm82ouec4KXM170tP8At2/6W9D9L4S4wwmR8FZ3lNTDqpPFxpqMtPd5ZO9766X5o22kl6r6zr88/wDg5e1/4oaN/wAE97Sx8CyXiaPqXjmxtvGLWqZU2XlzSRrKf4UN0lv7Ftg74P6GVyXx28JfBnxz8Idf8K/tDWWjT+CruwI8RR+ILhYbMW6kNulkZlCBWVW3ZG0gEEEV62ZYaWMwFShGXK5Jq/8An5d/I+c4Kzulw3xbgszqUfaxo1IycOrs/s/3lvH+8kfkd/wS0+Inhjxd+wLZ/DP49/tP3Gm6O19qGmReD7rxtbWFvPpLMN0LxZWUxSO86tlgWViM4xX3v/wTZ07SvC/iX4teAvhvYxWvgXSfE1j/AGNYafboljY6nLZrJqNvbbOFUMYJHjHCSzSDAJIHp3xJ8CfCPTP2Ktf8DfDbQdIHg1PhtdWei2ullXtH042LLGsbKSHjaMjDAncDnJzmsH/gn58Lvh58GvhXr/w7+FnhGz0PQ7DxfL9k02xUiOMvZWbsfmJJJZiSSSea+Uy3KK+W55QjUrufuS9ElZWWr01v02R9JxJxZhs8jmmIhSdJYitzKnpyxvPnc3r/ABLRUNI6qUveWz93plzFbzW8kN2itE6FZFfoVI5B9sU+uP8Ajb4wh8LeC5rVZStzqKtBAQB8oI+dj7BSfxIr6/G4qlgsJOvU+GKb/wCB89j84oUp1q0YR3bPnfwHrfg/Vv2zfC3gC+Ektppdte6lp8skMZjbUGjlS0jfL7lf7NHfygBT9wHIwM/XFfG1p8KfENj8INF+POlQGHxD4g8Qx+JbQXMijyvKdDYQEmL92r2MaxPlSVM0nPOa+wtMv4dV0231O3BCXEKyoCQcBgCOnHevneE28Ph54SpHlnFqVvKaTX3bfI9LNl7SpGtF3i9Pmnb/AIJPRRRX1h5B+EX/AAcaeLvj1B/wUn8H2WmvqYt9H8O6bc/DqKG33L9ra5ZpJIRgh5TcRop6k+XGMYC1+53hWbWbjwvptx4ii2ag9hC1+m0DbMUBcYHA+bPSvlz/AIKDfB34XfEr4seDvFnj3wPY6tqPhPR7i+8N3d2rFrC4N7aZlQAgbvkU/MDgqCOa+sq+cyii6WcY5uTd5R/GN/wvb0R+l8Y8X4TiDhDJMtpYdU5YSnUjKWnvNyWqtrZ8vM7/AG5S9WV5l8KPhZ+yd4W+Mvj/AMX/AAd0LwlH451m7tn+I0uj3UUt95xV2h+1RqxMLMC7AELvOWO4816PqDXKWE72S5mELGEY6tg4/Wv50v8AgmZ8bPjZo3/BRnxLqPxV+NuteDr3xG2rt8SdQm1iLT5JLpGkk2TNMNquLraAoGRkqMKWFXnmc0coqUXUp8yk3qt1ZdPPX7rj4H4KxXFHD2c42ji/YrC0oycLu1W8nLllZ7Lk00fv8h/RjHFFENsUaqPRRinV89fsi/EeTxvq62/hn4wS+NNMtYpo7zUn1uK/2PneqvJD8ocFhgHB2nvxX0LXdlWZ0s2wzr04uKu1r5H55i8LLCVeSTTdr6BXJfH3UfHekfAnxrq3wtgll8T2vhLUpvDkUEIkke/W1ka3CoeGYyhMKeCeK62ivQnHmg1e1yMPVVDEQqOKlytOz2dnez8nsz8QP+DXrxJ8Wb79rn4n28819caFqHg4Xfii5nj3htTF6n2ZpJG5EjLJenH8WHJ+7X7f18m/8E7Pg/8AC/4VfEHxZqfw68EWWkXHibSrfUtfntVbdfXbXd1mVyxPPJwBhRk4Aya+sq+f4Wpulk0E3fWX/pTX6XPv/FTirC8Z8Z1szw9D2UZRpq2l3ywSbdtL9F/dSCvjn/gvVr/xO8Pf8Ew/H0/wwe8Rrl7K116Wyj3Ouly3KJcgnqqMpCOR/AzA8E19jV55+1nouleJP2ZvHfh3XrFLqx1DwveW17ay52zQyRlHQ45wVJH416uY03Vy+rBO14y1+R8vwvmlPJOJMHmFSmqkaNWE3F/aUZJ2/DTzPhz/AINgtV+Il5+w94m07xNFONAs/Hs6+GJJoAqlWt4WuAjdXUSknuAzMM9QP0mrxD9gb4b+A/hF8H9U+HXwy8LWmi6Hpniq6Sw0yyUiOENFA7YySSSzMSSSSSa9vrlyGLjk1BXv7qf36/hsejx7ndDiTjLHZnRp+zjVqOSjpotru2nM7Xl/eb1Z+In/AAdEeMfi/pn7U/wx01NR1G08M6f4SbUPDksOY411X7Y4uZEccmVUSz91BUjG45+kvBOrfBj9o34W+C9M/ab/AGgLP4gai2h2uoal4W8VeMbK6tY9RNiRcSm1QqN8ayXGM5EYLMMFQw+3f2ivhj+yl8Rr7wZN+07o3hS6uNL8UwTeBz4nu44W/tY/6pLcO6+bK20fuhu37RlTgY43/goN8Hfhd8aPhl4a8BfFXwPY65o9x4zilm0+8VgjuljeshOwg8MAetfMZ5kWIvisYsQ1Fq/Kr62Wz1Xy0eh9vU49wWP4byPJ1hpUZYV1E60UuZ88t6esbu2s7yjeXU0/+Cc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P9nzwNaWkCRRQ+ENNSKKNQqootYwFAHAAAxiuzr7XBw9ng6cb3tFK/yPynNcVHHZpXxMY8qnOUrduaTdum17H5yftofFvXfBuvfHjV9d+J95oPifTPF+g2/g+SS5hhltbUw2D2BthL8pje4a+JkIPzLcZP7o7e/8Fan4D+MviOXwfof7RM/jrULu1e2SOTxZbajPZW0joJHjWIfIpIj3MQR8i/j9TeKP2cPgX41+MugftC+K/hfpV/418L2ctpoHiO4gzcWUMgcMinOMYkkxkHbvbGMmuzjt7eJt0UCKfVVAr5Srwpia+JqzliWoTnzcqTd1dPXVK62Wj2XofR5hxDltbC4eGHw9pxjaTaS97lhC0bXbj7nNd2d5yVtOaT6KKK+0PjTiv2gNLGq/DO5jOnLciC6t7gggkxmOVXDjHdSAfTrVv4J+Fz4O+F+k6E3mhljkncTD5laaV5iDwMYLkY68c11VFcKwKWZPGc2rgo29G3c3ddvDKjbre/ysFFFFdxgFeQfs/wDgM6P8Q9f8RHTnsxBG9ktuoIjBe4aZsZ5Jzg9ejD1Fev0Vw4nArE4ujXcrezcnbvdW/A3p13Tozhb4rfKzuFfnn/wcu+IPijov/BPe0sfAst4mj6l45sbbxi1qmVNl5czxrKeqobpLf2LbB3wf0MrA+KXwt+Hvxs+H+qfCv4reErTXfD2tW/kappN8haK4j3BgDggghlVgQQQQCCCKeY4WWNwNShGVnJNX/rp38j3+DM9ocMcV4PNa1L2kKNSM3HTVJ9L6cy3jf7SR+SH/AASe+NkOqfsR6R4a+M/7Wd7plvaaheadp3hi+8a2lrA2lKVCwtC/7wxMWmTBIyvAwAK/Uv8AZq8NnQvA95qTeZnWdXe+xJ0x5MMIK8fdIhB79SemK6rwN8PPA/w08G6V8PfAXhay0rRdEsIrLStNtIQsdtbxqFRFHoAB15PU81s9OleLlHD1bLsTGvVrupaPKk1or22u3pp2RvxdxLh+JM6xeMoUFSjWqyqJK2ibbV7JK+ur73Cuc+IXw4074hRWUd9evB9juN+UQHehxuTnpnA5ro6K+gxOGoYui6VaN4vdfifK06s6M1ODs0YXj/wNZ+PPDv8AYE921ttlWSKZEDbCuR0PXgkfjWtpWnW+kaZb6VaA+VbQLFHnrtUAD+VT0URw1CGIddR99pJvyW35jdWo6ag3otQooorczPIP2jvAZ8beLNBsBpz/AOmRtZm8gUl1Uyxuy5OQBhA3I7H0r1+iiuDDYFYbFVq/Nf2jTt2srG9Wu6lKELfDf8XcK4jwH+zd8Cfhh8RfFXxb8AfC3SdK8SeNp45vFWsWtvibUZI921nJJAOWYnaBuJycnmu3ortlCEmm1drby9ApYnE0Kc6dObjGatJJtKSTTSkluk0nZ9UnuhscUUQ2xRqo9FGKdRRVGAUHpxRRQB5B+zf4EGgeK9f1wadJZqkMenpbBSI0CSyyELnk48z16Yr1+iiuHLcCsuwccOpc1r6+rb/U3xNd4ms6lrXt+CsFc/8AFfShrnw21vR205btbnTpUa2YE+YCORgck46e9dBRXTXpe2oyp3tzJq/qrGUJck1LscB+zj4Ybw74Bmu5PNDatqkt8yyjGNyogxwOCIwefX0xXf0UVlgsMsHg6dBO/Ikr97IuvVdatKo1a7ufiJ/wdEeMfi/pn7U/wx01NR1G08M6f4SbUPDksOY411X7Y4uZEccmVUSz91BUjG45+s/2fvi1pfxG8H+CW8dftR3HizxbdaFaXNz4fv8AxhZ3TLqT2Y88pbQgN5i75hgZ2gtxxx9p/GD9nL4G/H+68PXnxn+GOleI5fCespqvh19ShLmxu0wRIuCM9BlTlTtGQcCuyW1tkbelugI6EIM18xjeF8TjcbWqrEuMaltFd30tZ6pWXTfQ/Tc48QcBmPBmU5NTwajUwaqc09Pe55XXLpdX3nfeWqMf4a+HF8H/AA70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRX11OCpwUV0Vj8uk+aTYUUUVYgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArxv47ft7fsxfs3/HfwH+zh8WvHM9h4q+I1wIvD9tDpc80Me+ZLeF7qaNSlqktxIkEbSlRJKwQZNeyV+Z3/BVX4J/G/wAY/t/eHdM8CfB7xRr1j8U/DngLRNL8S6PpLz2Hh+40Hxymt38l9Mvy2ifYmMkbPgSPEUXLYFAH6Y0UUUAFeXeAP2xPgb8TP2nfG37IfhDWdQn8afD7SrLUPE1tLpE8VtFDdZ8ry53UJMePmCE7TwTkED1Gvi7wP8Vo7v8A4LpeN/Di/Cz4gxWknwN0fQIvFNz4Ev49Dlv7a+v9QljTUTH9ncCC8gAIbBk3xj5kIoA+0aKKKAGTzxWsD3NxIFjjQs7HoABkmvIf2Rv27P2dv23bPxPcfAfXtWmn8H6tHYa/p2veHrrTLu3aWITW83k3UaOYZomEkUgG115FevXEy29u9w6MwjQsVRckgDOAB1PtXxD/AMEbvidqH7Q/ib46ftSfEX4W+P8Awh468e+OLabVdB8a+BL7RotL0a0ils9HsreS6iRb11toHnnljyFlvCvAC5APuGiiigDmfjJ8WvCPwJ+F+tfF3x2NQbSdBsjc3cWkaXNfXcoyFWOG3gVpJpGZlVURSzMwAFY/7Mf7S3wl/a9+Cej/ALQHwR1i6vfDutm4S2a/0+W0uIZoJ5LeeCaCVVeKWOaKSNkYAhkNR/tX+K9D8F/s3+M9e8UeGfGur6WNCmt9Tsvhxbzy679mnxBLLZLbMs3nRpI0qmE+avl5TLAA+K/8EUvA3j74cf8ABOjwb4U8feDte0Ex6vr0+gad4ssvs+sDR5tYvJtPk1BCAwvHtXhklLjeXcl/mLUAfVlFFFAHnH7Wv7V/wT/Yj+AGvftMftDeJJdK8J+HFgOo3VvaPcSlpp44IkjiQFpHaSRFCgZ5z0FehWV3BqFnDf2xJjniWSMkYJVhkfoa/P8A/wCDjH4MftSfGz9jAaL+z58Cf+FiaVpdprV/4o0C21gW12kn9lT29ldQQiKV754ZLiSZbVFDSSRxYZSvP3N8KrrxRffC/wAN3vjfw0mi61NoNm+r6PFei5WxujChlgEwVRKEfcu8Ku7bnAzigDfooooA8d+Jn7cHwd+Fn7UPhj9kPWPD/jPUfF/irTYNQtW8PeDL2/sLC1muJbeOa9uoUaOzjMkMg3SlR8vWvYq+Af8Agod4S8Y/8PLfgT44/Z88KfGmH4jy654fsNV1zw7BOPBlx4Pj1C8l1e31SRP3JlSGWRkSb5t8kBiyd+Pv6gAooooA8m8F/tr/AAB+IX7UfiX9kDwhrmp3vjDwjYrPrzxaDc/2bbyFIZGtPt2z7O10sVxBI0AfeqSqxHXHrNfmL+wz8GP2pfg//wAFrfi7FLY/E638I6/4k8W+IPFcuqmf/hELywvV0aTQpLDd+5a/Eg1GOYp+8CQ7X+UR1+nVABVfV9Th0XSbrWLmGeSO0t3mkjtoWkkZVUsQiKCXY44Uck8CrFFAHiP7G/7fnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP/BLrwZ4u/wCEH+KX7Q/xE8LanpGt/Fz41+IfEAsdasZLa7h0u3nXStMSSOUB0BsdOt5FBA4lyOCK+nqACuJ/aN/aF+F37KnwW134/fGbV7iy8OeHoI5L6WzsZLqd2klSGKKKGIM8sskskcaIoJZnUDrXbV8yf8Fi/CXjTxz/AME5/iF4X8D+C9Z8QTXDaS2p6X4bsmuNUbS01azk1CSxjUFjeR2i3EkJT5xLGhT5gtAHsP7Nn7Rnws/ay+C2i/Hz4MatdXnh7XVnFq1/p8tpcQywzyW88E0Eqq8Msc0UkbowBVkIruq+X/8Agjd4S8X+CP8Agnn4L8O+L/BWu+HxHqeuy6Jp3iuya31f+yZdZvZdPm1BHAcXkto8Esxk/eNJIzP8xavqCgArx39sT9vH9mn9hDw5oPij9pHxldaVbeI9Waw0xbDSZ72Q7ImmnuHSBGaO3giVpJZmASNBliMivYq/PH/g4h+Anjz4xfs/+Gb74Lp8QT48ZNf8LeHIfA/gUa7Dfx65pcljcWN9l1/s+CZdg+3nKwbCSMstAH6F29xBd26XdrMkkUqB45I2BV1IyCCOoIp9YHwq8LX3gb4X+G/BOqXKzXOj6BZ2NxMpyJJIoEjZgT6lSa36AP/Z", "info": {"equation": "8+15*7=113", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6bf5b15fc4ad32653e45a62a8648b7bf35cf10132d0e88fddd8db012a4759eab"} +{"episode": 67250, "episode_seed": 2641149293, "split": "train", "timestamp": "2025-10-28T03:49:17.868025", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2641149293, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 4])", "action": "('move', [2, 7, 3, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "50-6=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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xTeE/sEiXFxMcsUhV4rULMCAZAFBZvlPyV/wdMeLPjkfjf8PfA2oSajH8N/8AhGTfaWgi22k+tefPHcEsPvypAbcAN9xZm2/favrr/gnT+zj8Cvgt8WvAHi/4VfC/S9D1TxJ4Au5Ncv7NHMt43k2Mh3F2OBvdm2rgZI44GPZP+Cknwd+F/wAddC+Hvw/+L/gqz1/RZPGM876felwhlTSr4o+UZSCCT3r83weFlPg2s+d/E391tPR7+p+w8M8Z5Fwj4hYLH0sM6tKlGUW5KKqNz5nzpJuKlC/LH3tUnrHmtHwT/g2j1/4xav8AsC3mm/EKG8Hh3TfF93D4FlurYIr2ZCyTiJsZkQXTz8nOG3qD8uB+iFeMfsC+FvDfgb9m+08GeDtEt9N0nSvEuu2um6faR7IreFNVugqKOwAH1PU5Jr2evuslg6eUUIt39yP4q/4bI/OONs6o8RcW43MqVJUo1akpKK6a9bdXvJ9ZNsK/nV/4OE/Fvxw13/gpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/APsc/sv/ALU99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/wAqq5vgfYU58runrs/J/n6o+o8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/AAT/AP2lPEfiz9kLwbrfx7/bp1vTvEslpNHPaXXxAsbaWO3SeRLbcjguCYFjOX+Zs5bkmvu39mX4ga7491RdX0vxifEGiz2BJ1NL1biGQrhFdZE+QsSpB29fm4yOPZo9PsIo1iisYVVVAVViAAA6AVKiJGu2NAoHQAYrzsHw3jMPiqdWeMnJRd7O9n5fE/y2Plc74gw+b4/E4mnhY0lWnKSjG1o80m7LRaK9ltsLRRRX1h8yfGX/AAXv8XfHPwb/AME2/Fd/8DJdRhkub+1tPFVzpcW6WHRpC63JJHzIhPlo7L0R2zhSxH4/f8EXPip4u+H/AO1RcaFZ/Ge88FeGdX0KdvE99a6zb2CyiFGNsrSzAjPnOAFXk7j2zj+hP9qWCG6/Zj+I1rcRB45PAerq6MMhgbKUEGvnb9gH9nT4Gfs+/HLV9C+C3ww0vw7a6l4LS4v4rFGJuJRdhVZmdmY4HAGcDJwOTn4TiDAVcVxDhowquDmmk19nlTemq3P3DhHxHy7IvC3MuH6uCVSpWldT0s+blV5315qduaFr622td+Y6/wCGP2R/j5r41H4tfFXQvild6bo91HbReMPF1rqkemWbAG5liiDBIMgLvn2hlCJ867RX0D/wSm17xnr/AOyNav4j1PU7/RrPxPq1n4B1HV0xPd+HIrp00+Td1kTyQFSQ8tGqHJBDHA/4KFfs7/BD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAU8hwNXB8R4inOq5uMVdvrez11e2y1PisyzujX4QpYRc0pSne0rclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/AL4FfzIf8FX/AIgftC6l/wAFJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPF3xx8N/sTaLpnw2m1GDwvq3ilbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANVmWEljsDUoRlyuStf+unR+R7/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/AH/AIIYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/DX3l49+H37D/wAarXxH42+NHj7w78Q54vD4g1fxB4n8UW2p3GlacrEqInDBbRRISwZApZ2wSc4r7v8AgX+zj8Df2Z/Aa/DH4EfDLS/DOhLdyXR07ToTteeTG+RmYlnYhVGSScKo6AAfLH/BQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/O824exeWZPz1MQ5KNvc15dX016X7H6NnniDl/FniFVzahTnhac7e9Tt7VqMVrK0oq8mlf3mo6fFbX3L/AIJza58VPEn7D/w11n40Lff8JDN4cT7Q+qWgguZbcO62sksYA2yPbCF2yAcscgHIr2uuc+DzFvhJ4WZjknw5Ykk/9e6V0dfpeHg6WHhBu9kld7uy3Z+P5ni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox4nEGS1s4hSVOpy8rv8Af19V09Xqj9T8I/EvLfDmvjp4zB+39vTUVtdNX913/wCXc7+/a792Pus+NL3x/wDB/wCKPwug8G/HH9tCbWrLVdJt08T6BqXxNs1trtiiNNBMIShMZcMrIGAZcqcgkHpP2MfCvg74X/8ABRS98Hfs1+H7DS/D+p/DR7n4paV4dsIUsLW9iuIl0eSTyxiC4kikvsINu+NA5U53n6f/AG1/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXzsMqxGB4kwsKmIlUbUnd3vonpq3o+p4GC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf+Dnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/wSU/aK8U6p+x9YWPxp/bP1nw+2k6tNp3hnS5vHFnZmHSoooViVY5QX2B/OVS38KgD5Qtfqh+0N+yx+z1+1f4Ys/Bv7RPwo0rxXpunXv2uxt9SRs282xkLoyFWXKsQQDg8ZBwMdf4e8JeF/CWgWPhXwx4fs7DTdMs4rTT7G1t1SK2gjUJHGigYVVUAADoBXxmJ4YxtfM6uJhiXBS7Xv6PVaLoftea+KmVZh4Y4DhiOASq0JXc3y8ul/ejo3zzvebdtb730+Wv2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYK8O/wCCk3iT4qeEP2HviF4i+DN5q1rrttpUObzQbfzb20sWuoVvp4FwT5sdmbiRSAWUoCASBXuNHXrXp16TrUJ007cyaut1dWuvQrK8ZHLszoYuVNVFTnGTi9pcsk+V76O1no9D8xPj78ZfBfgHxH8DNK+D37QMfhuG+11bZLrRNftIxL4Z+xyCeRppCwSLdBbhZAfmdSoJPFeo+G/iL8MfF3inT7T/AIamPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf/AEpX89D6bN+IMnqVqccDQbjBfHNRjOTbb1UeZLlvyr3ndK+l+VcZ+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiivt8LQWFw0KKd1FJfcrHx9Wo6tWU31bYUUUVuZhRRRQAUUUUAfNP/BVjxD4x8Pfsx2P9iapqGn+Hb/xzo9l8RtR0xQHtfDss+27Z36xQsfKjlkH3YpHyQu5h8yfGf46aR4b/AGv/AIceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP+zZ+yjoOoeGv2ePg9o/hWy1W7W51KPT4mLXMqrsUu8jMxCjOFzgbmIALHPyub8P4nMsyhiaddwSVut1v8Oq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/wBog+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz5rGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/fAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCiiigArwj9pjwRJr/AI5aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpH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"info": {"equation": "50-6=44", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b4222d33de20cc4b5c4720be143cb0b21110f8ea12d883638f9e6b94e20bc5f3"} +{"episode": 67251, "episode_seed": 2193081098, "split": "train", "timestamp": "2025-10-28T03:49:17.929650", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2193081098, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 1, 1])", "action": "('move', [2, 8, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "39/13=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": "39/13=3", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bb097cbbff6db771c9a3ff267df11c4c84d3510a9b68c2791589f6d941e24719"} +{"episode": 67252, "episode_seed": 636893167, "split": "train", "timestamp": "2025-10-28T03:49:17.995990", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 636893167, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [7, 0, 1, 7])", "action": "('move', [7, 0, 1, 7])", "reward": 0.0, "image": 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", "info": {"equation": "6+3*5=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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7MKWY53KpT5moxjHmlbnnyxS5pWbV32u7JJcztdlfy0fGj4y/tYaL+3x4u+JviLxVrWk/FD/hLL+0v7qRlguIGbfbNb4b5Fi8g+UFPyCPAHy4r+pevGPjF+yd+zhF4i8XftUx/B3RR8Q5fB1/aP4r+zn7UYvsbxdc7d3lgR78btny5xxRxBlFbNYUvZ1OTkd/+D6rp6vU+x8LfEPLuAf7RWKwar/WaXs47aPX3ZX/AOXc7+/a792OjPAPDfji38H/ABrs9Kg+Ih0i61XwJZQWOkjVEhOpFZ52O2M4eV4wONnKh2z1r7R8DXGtXXg/TrnxCjC9e0Q3G8YYnHUjsSMEj1zXg/7HCI3xI1VmQEjwJouCR0/fXtfRtebwdgKlPBxxbqtqaaUeitJ+f6LdnwGcV4yrOjyq6e/V6BXh3/BSrxN8YvBv7BvxT8T/AACe+TxZZeE55NMl0yLfcwrlRNJEOu9YTKwI+YFQRyBXuNBAYFWAII5Br66vTdajKmna6aut1db/ACOTK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+h/wAf/Cn7HnxP+HPjb4m/EP4n6b431rTvCxVPFWoeI7bVNT0cR73s1tCp/cP9pIMaIoMsrbTv3ba+2/2Vvg1+xJ8L/wDhKv8Ahj/w74Itft2tf8Vd/wAIjew3G29TdiKbY7+UybnxF8oXc2FGTXgP/BRL9n/4KfEv43ah8QPH3w00zVtZ8LfDa0n8PX93Gxaxk+06m+5QCFJ3IjDcDgqCK/Msx4exOX5RzyxLlFNe6r8urtda/Pbc/b+KfEfA8U+In9q08PUwsVCKfLZVZcqv72qS5naN7ytBRfLK3KfV/wCz7qXxD1j4CeCNX+LlrJB4suvCGmzeJ4ZoBE8eotaxtcqyLwhEpcFRwOldfRRX6hCPJBRvex+EYiqq+InVUVHmbdlsru9l5LZBXzV+2Z4t0b4az6l4t0q0N1fpZRLHpyBB9qv5XEVtCuWUFpJHjU5I+9nNfQvirxLp3hHQp9f1Rj5UCj5V+87E4Cj3JNfL3h/wDqX7S3x7vJtZST+zfBtodVkkLBUn1y5V0s0IMZ3LBB50jYYYaeA4JHHyXFT+uqnl9KKlUk+b0UU9fnsvmellK9i5YibtFaerf+R63+xHp/hOy/Zf8KXHhOZpvt1m93rF1NAkc0+qSSu180yozBZftPnKy7m2lduSFFerV8//ALI8WteBviD4r8Dyhf7F1m5/tewh3orWd+cJeRbAgO2QrHMDljvM+duVz9AV7WS4yljssp1KatZWa7NaNf10OLG0Z0MTKMtet+6YV+Cv/Bzf4o+Ml/8Att6J4S8YS36+DrDwjBN4Ogkj22rySsftkiEcPIZERWJ5ASMcDGf3qryL9rT4Q/sVfFfTvDUX7Zuh+Cru2sdaz4WPjK/itl+2uB+6hMjp5jOFGYuQ20ZU4GM8+y6eZ5c6EZ8rund7adH/AFvY+/8ACbjHDcDcZU8zr4Z148s48sUnNcy+KF+ulnt7rkfAX7H3xg0L4kfsR+DtC/aL/bKv4rjU/C7Weu+Hbv4hWdnG1lukijt5I02vGjWwjUjcGIY5IJNe9fsJ6B4P+G/7b+t/Dv8AZ20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfqf9o3S9Nl/Z28eWsmnwmNvBWqIyeWMFfskox9MV4h/wTj+Bfwf+AHifxt4S+C/w+0/w5p11o2h3dza6erYlnaTUlMjM5ZmO1VHJ4A4r5mllGIy/iDCxqYiVS6k9b6JLbd6Mzq8UYbGYHM60abpqvJtUo29kueV7vVa09ORKO6T5ko2f1RRRRX35+cnj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR3+L3j3wJ+2BHp1p8b9T8H6Br+mXZ8Y6hBrsVktwkUMkkBklnypb7QUwfvfOwHDNX9LNfEP/BN/9n/4K/CP4r6d4i+G3w10zR7/AMTfDq6u9fu7aNjJezfaNNbc5cnHzSOcDAyx4r5DiTBVcVmuEjCq4OXMrrpZXutVvsz9f4F4+wHDfAmc5PWwaqzxKjyydrK65fevr7nxwte077bkfg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+vYybJp5VKrKdV1JTtdtdr+bvufleNxqxailDlUb7ef3BRRRXuHCV9Xe+j0m6k0xN1ytu5t1xnL7TtHPviv5pf2HvH/7Vuof8FdPBXjK9fWbj4l3/wAURH4tW5tN10FkmaLVEljYYRUtjchhgCNUONu0Y/pir4h8BfAb4N6P+3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5OfkuJ8PKriMHJSa/eJaedtfVW09T9e8L+PMDwdlucYbEYRVniaDjFu2jSkuWV/sS5ryS1vFadV9vUUUV9afkJ8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/ALTN/oGp/Hv4O6L4quPC9411oMuq25c2kjFC2MEblYxoSjZVtgyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4Vm+MdPGreEtU0s2KXIudOniNtJnbKGjYbDjnBzjj1rSorsnHng43tcxi+WSZ43+y74F/sjWtZ8Xtbzw+bp1ppkcMibUCwPO/AIzkGUqeewHXNeyUUVw5XgI5ZgIYZS5uW+u27b/U3xVd4qvKq1a/8AwwV4d/wUq8TfGLwb+wb8U/E/wCe+TxZZeE55NMl0yLfcwrlRNJEOu9YTKwI+YFQRyBXuNBAYFWAII5Brrr03Woypp2umrrdXW/yNsrxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/ABz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+tvghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgfTPwL/ZM/Zt/Zm/tv/hQnwb0Twt/wkd8LvW/7Lttv2qUbtpOScKu99qDCruOAMmvQY4IIjmKFFJ67VAr4ihwdilQjTq4p8qd+VJ8u9+r/Tc/TPErxGy/jbimeaYTCeyi4Rir25nZfFKyeuvKtX7sY+ifRRRX3h+SmV418J2fjbw5P4evZmiEuGSZRkxuDkHB6/T0NN8D+ELLwP4ch8P2UzSiMlpJmXBkcnJOB09APQDr1rXorm+qYb619Z5ffty38r3sae2qey9lf3b3t5nJ+H/hJo/h/wAdXXjeC+kdpy7Q2zIAsTOfnOe/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwV+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP701598ff2U/wBnT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCuDPctq5rl7w9OfK7p+Tt0f8AW6R+h+FfG2B4A4vp5ti6HtoKM42VuaPMvijfS/R6r3XI/PP9jT9oFfH/AOyD4Muv2iP22tS/tnUtBaPXdH1T4gWUIkgMkiJFLEfnAa3EYYMdxDEk5Jr7t/ZW8LQwT638QbZ3aHV7OxtbZlIMTxQG4dXQgfMD9pIzkg4GOhz62tjYooRLOIADAAjGAKlAAGAMAdhXnZfw5WweOhiauJlU5E0k13Vusn/Vj5rOs9pZtisRVp4eNJVZynyx2jeTlyrRaLZeQUUUV9SfOnnd/wDsmfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5R+3Tr3xS8L/sd/EnxD8FXv08UWfhG8l0iXSoPNuonEZ3SQpg7pVTcygAncBgE4FfDvj74zeBPBfxO+B/h74W/tIv4c0m+0XUlvb3S/EVpD5+grYIYZZZ5d23N3DaqpBy7CUc7Wx+nNedfBT9kj9mr9nLWPEPiD4HfBnQ/DN54rvBdeIJ9MttpvJAzsuckhVDSOQi4UbjgCvms6yPE5pi6VWlWcORNdbq/VWa16PVaH2GSZ7lWX5TVoYmhz1PfcNI2k5wUPfb1Sp254WUveuvdvzLwj4IfGMeINbGgfDr9o+58b3i3Mc7W7+KbfUZIl+5yIMFYznnIx3r68Gc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", "info": {"equation": "6+3*5=21", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "1843a4e7378940cecdeda9ad44dc045a44c61f0351706b19244a586644f548e4"} +{"episode": 67253, "episode_seed": 289659973, "split": "train", "timestamp": "2025-10-28T03:49:18.063847", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 289659973, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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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", 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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": 67254, "episode_seed": 1662759212, "split": "train", "timestamp": "2025-10-28T03:49:18.137216", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1662759212, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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tgqtNO14tX7aG3DmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/AIJ3/CD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v97b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov8AgvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr84v+CGXxr1/Qfhv438EeNP2otT8GeGrDU7Sfw/p0fiy20+NrmZZftTIswLNxHATj5QTnqxz+6nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ1z3wW+AXwa/Z1+H1r8Kvgl8O9N8O+H7KWWS20ywiOxXkcu7EsSzEsTyST0HQAVy5tkOKzHMY4ilXdNKNtL336Wa0fXXoezk/iDl2W+GWK4YqYNTq1a0aiqO1kly3vu+ZcvKunLOW1ve4j9lDx1qPjq2l1Kw8dP4l0b7Ciwax/aCXSTSIQmRLH8jMQrbsdx0zXs1IiJGuyNAoHYDFLXr5Zgp5fhFRnUc2m3d76u/d/mfmmKrxxFZzjHlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df8A4JIfFv4h+Hf257rVPEfxq1TwpH4g07Uj431yTWYrKadsNMBLNcA4droRkj7xOe2a/pOryn4EfCH9jnwN8SvH/iH9nnw94Ng8VavrCyfEZ/D93FNdC9LyuFukV2MDl2mbYQuSWOM5rzM8yatmmIoyp1vZ8t/XXqtVrprrsfpnA/HWD4Y4TznLKuD9s8XCMVKytCza99u+i5uaFvtpd7r4W+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/AIRLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1c3DGFnhKuKhKbm1O131st+urvr6HzHEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7KKKK+sPkj8RP+Dp3xD8V5P2g/hx4S1OS9XwOnhCW70hDHi2l1RrmRLo7h9+RYRaDB+6rjGN5z+qX/BObWPibr/7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w//BSL4J/Cb45yeCvDvxf8B2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/AJI54S4H/Is2HQf9O8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/W9jh8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/wDCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/wDBMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e14d/wUr8R/Fjwj+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuNJJGkqNFKgZWBDKwyCPQ19FXputRlTTtdNX7XW5+d5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/FXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cv0C0TQ/hDoPx3+GnxX/Z/8TWuufEDxD8Wba21HxPp2pw6lqOt2UqgatFdzKxMlvFYoJCvCwGGAqEJG77J/ZT+En7Hvwv8ABur6b+x7oHg620O51+aXWf8AhEbyK5h/tEIiyJI6O4V1UIPLyNoIwozXh/hD4IfCLSv+Citx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+dTyDE5d9UcsQ5J1IpJX5Vdt3Wv6Lc/ZOKfELBcR8Z4/NaeHnQjKk1yWXNUago8tbVLle8vi0SjbXmX2LRRRX6Ufhh/NX+zv8AGj9orQv+Cs03jD4j/FDWvCnirWPHN7YeP9Vkvo7GaG2MzfaoZGk+SNFWIAL0Xy028qtfrx4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPetb4efA/4R6T/wAFBbr436f8P9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc19hx28ER3RQop9VUCvzjLeHa2OjVviZKMakk47p8rWr1td+h+x+JfiFgOLMxwmJw2CVH2eHhB7bq90rL4I3tFb27Xsn0UUV+jn44fnl+2P8T5/DHj/9pa/+JPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa0vhf8U/CXjS28MweKf2rJfFevtaQS/wBg3/jezux9va3xIUgiwS67pQAM4BPFfX/xJ/Zh/Z/+MHxH8LfF74nfCfSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqy7gdrDIwea7hbW1Rt6W0YI6EIK+KxHCmLxGKr1PrTjGo27JN3T6PVbbLfQ+1x3EeVVcDh4UMP8AvIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/C3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivsKFJUKMaa+ykvuVj4ycnObl3CsX4kaWNc+H2uaI+nLeLeaTcQSWrg4mV42Vk455BI4raop1Ye1pShe10194QlySUux5j+zH4TbRND1jxFIJlbWdRSTbKMDEUKRArxnB2+/NenUUVz5fg1gMFTw6d+VWv3NMRWeIryqWtcKKKK7DEKKKKAOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX87f8AwSN+M/xO8M/tuX0viD466z4Ss/EllqEvjzVX12Oye6lVZJUM8lxwZPtLD/by7DoWr+kquC+Fv7Ln7PXwT8ZeKfiF8KfhJo2ha142vheeKdRsbbEmoz75H3vkkD5pZGwuAS5OM187neS4jNa9GdKs6fJfa99eqs1r032P1Dgnj7L+FeFc3yqvhFVljIRjGWlotXT5r62V+aNtppd7r58+Akfg34s+NbRvC3xdk8aT2+u2N7qmrLr8Gozxi2lWaKOR4vlRP3ZABAJ3Ng5PH2BTY4YYc+VEq567VxTq6smyqWVUpxlVdRyd236Jd3+Z+d4zFrFzi1HlSVrBRRRXsHGeUftR+G31y00eeLSTNIjXFvHcRozPGZlRdoxx820dR1UV6J4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWnRXn0MAqGYVsVzXdRRVu3KrfidFTEOeHhSt8N/xCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K7ZwhUi4zSa7PUWFxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8P8A+ClfiP4seEf2Cfit4k+B8l6niez8HXUmnTabHuuIlwBNJGOodYTIwI5BXI5Ar3CkkjSVGilQMrAhlYZBHoa669N1qMqadrpq/a63N8rxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzyf8EMvjB4n8GfEjxn4M1T9oXUfBHhG40RL64SDxHb6fFPqKzRxxHMwOW8ppsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A59o+BP7MH7Pv7Mnh6/8ACnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV3UcUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXLZ8t076Xf6dz9A8SOPcDxpxPiczwmF9lGqoxV7cztFRvK2l3bvsl2HUUUV9qfmB+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vp74A/F+PxF4qh0D4f/tIXPji6+2QzTWsviq31F4Y87DkQYKxkE5LDHfIxXvXh79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCviMPwnjaUm3i5Jc17K+ut7vVavro9e59tn3EeU4+sp4TDct7uV1FNSm23GNr+5D4Y7Nq7tG/Kn0UUV9ufEhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUU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", "info": {"equation": "61+91=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": "61+91=152", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9a014bca1941ca6e109da5df32c97e6ec820644921ab23ec1fa534cc9499add8"} +{"episode": 67255, "episode_seed": 721230975, "split": "train", "timestamp": "2025-10-28T03:49:18.213635", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 721230975, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 6, 1, 1])", "action": "('move', [2, 6, 1, 1])", "reward": 0.0, "image": 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", 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", 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q0K8puqrX1cmnHrze/Z6r4I2f8vn/APwTj8OeFvAX7QPxb8CfBjRLLTvBEWn6FeXdho1nFHYW2vyJcpcrGYxgSNaRae8kY+7lGwN/P2DXzp/wTv8AhB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr6HhmDhkdBXvpf723+B+f8V46nmGe1a1O7VoxvL4pcsIx5pWbtKVrtXla9uaW7+ff+Cl3iDXvDn7N1vc2er3Wn6JP420O38a6haYH2fRXvo1uTI5/1cLfIkr8bYnkJIGSOH/Zp8dfEjUfHf7QFr8MNQm1O10nw7pb6IkcEUsEXiX7HeedbxuPvv5SaYzxsflMi9N1e9ftXaXp+ufsx/EHRNWs0uLS98G6lBdW8gyssT2zq6n2Kkj8a88/4J5/Cb4a/BHwZ4w+HXwl8GWWgaHa+LFkg02wVgivJYWjOxLEsxJ7kk9B0ArkxWHlLimjPnavTlp6afrf1SO/BZpl1HhapRnR5qqmrNpcrTlCTbfxcy5HBK1nGb1jy2n+Pf8Awb9eMPj1qH/BV4X0s2q3c2u6Vrb/ABLuLuAvI0ZVpmkuCwyjG+W2Bbg722/xGv6B6+Pf2Ofgn8Jvh7+1zr/xJ8E+AbDTde8WL4ql8R6rbq3nX7rrMJBcsSByxOFwCTkjgV9hVXCdF0cslFyb9+W/k7fpf1Z7/i3xjg+OOKYZhhsP7GKo04W0u2k227aac3LH+7GO2yK4v47+LovCvgK4jNysUl9mASM2AkeMyMTngBQee2RXaV8z/tK3s3x48faP8FNCaZrPX9SGlXs0bBfLsFDTajJko4G6CNoVyOXlTBGcjqz/ABU6OB9jSf7yq+SPz0b+S/Q/PcvpKdfnl8MNX8jsv2JPBptPhjc/F/U7Py9R8f3o1YF4kEkenBRHp8JKs2QLdUlIzw9xLwMkV7NTIIILWBLW1hSOKNAsccagKqgYAAHQAdqfXqYTDU8HhoUIbRSX3HLWqyrVXOW7CiiiugzPxE/4OnfEPxXk/aD+HHhLU5L1fA6eEJbvSEMeLaXVGuZEujuH35FhFoMH7quMY3nP6pf8E5tY+Juv/sJfCfV/jFDcp4jn8D2B1EXkAilP7oCNnUYwxjCE8A5PIBzXD/8ABSL4J/Cb45yeCvDvxf8AAdh4hsbBdVvrS01BWKR3CRQBZMKRnAZhg5BzyDXvfwV/5I54S4H/ACLNh0H/AE7x18vl1Bw4kxkuZvSGnqv0tp6n6nxLxrg848N8oyKnhlCeGlUcp6a3f2evvXvO+8op69Omr8Nv+DozxR8XR+1Z4B8Napc38Xg208GfbPDqhStu2otcyrdurD70ioloD3UFcY3c/uTXyr/wUr+CPwl+N954O0v4ueAbDxBbaVpWuX+nwagrFIblBZhZMAjOASMHIOeQa14rpupkdVp2tZ+uq0OTwn4swnBfG1DM8TQ9rBRnGytzLmi1zRvpfp/hbPnz9ln47WPxF+APw/vvjf8AtiXer+I9R0bT7jV/D+r+OrIrNe/I8aPAuH3hxGwTOdwGcnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a2vhja2x+G/h6Q20e7+w7Q52Dr5KV0FTlOQ1sBi/rNXEOo3Hl1WybT3bfY+SzjN6eZVqkqdGNJSm5Wjsrt6JWWivZeSCuR+PHhH4L+O/hBr/AIU/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/AAc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD6+Z4qODy+pWlHmUU9O/r5d/I7+B8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wAM/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/gjV8edYh/ZFbw98T/2v9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/2tfeV3Z31e56XRRRX1R8UFfzt/sceOv2pdT/4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/AMFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPyw/mn/Z8+Lnx/0v/grX/wAJt8T/AIi6t4Y8W6h49vrTxxq893FZT2kLSOl1GzyjZCqxqUA6KFUL0Wv0i+Ptj+zH8QvAPir4q+I/jRb+NPFPh3wtI+g+JLnxTb6lqegzRv5to9j5Z/cTG88nYVXfLII4yWBCV9weEPhH+x3pH7Unij4k+CvD/g5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivzLMeHcTgcBUqvEtx5vhV7O8krvX4ur036n77xH4l4DifirAYynhZYVUaEIvkSUnypy5Y6xXs3pGLbdo+9yv4T6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+mRXLFI/Bq1RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8LdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc+V/wBtjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/wDZ6+O/gbxV8MNRtPGn7aF0ukyeKNctNN0W88b2FtbzaOt/PHbxmEAHymgAA5BZCDnnNfoN8df2fPgv+014Bk+F3x6+Hen+J9AkuorltN1JGKCaMkpIpUhlYZIyCOGI6Eg9Jo3hrw94d0e08P6DolrZ2NhbR21laW8CpHBCihUjVQMKqqAAB0Ar5bH8N4vGZlUxMMS4KSSsr30VrbrTr82fX/2/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rnz7/wUu8Q694c/Zut7qz1e60/Q5/G2h2/jXULXA+z6K99GtyZHP+rgb5ElfjbE8hJAyR8uWXx40ax/ak+InhOb9rS88K6NY6XosjWFn4ssrCFdVdLhbkL5gLO4gjstwz8pIHGa/RbxT4Y8PeNvDOoeDfF2jW+o6Vq1jLZ6lp93GHiubeVCkkbqeCrKxBHoa5/4K/AH4Nfs6/D61+FXwS+HWm+HPD9lLLLbaZYRHYryOXdiWJZmLE8kk9B0AFeJm2Q4rMcxjiKdd00o20vffpZrR9deh9RgM9yvC8PTwlWhzVruztHltJwbk2/e5o8jilazjN6x5bT8l/Y/0Tw34g8RQfEHwn4l/tjT7TSLy3h1a3vkuoryS4uIpJZGmTIkkLwsSQfvM2R0x9E0iIka7I0CgdgMUterlOXf2Xg1Q5+d3bu9L3d/P8z5vF4n61W9pa22noFcv4J+F2leCNe1HXLK7eVr5iI42QAQIW3FQe/Pf0A9yeoorqq4XD16sKk43lC7i+11ZmMKtSEJRi9HuFFFFdBmFFFFAHlH7Ufht9ctNHni0kzSI1xbx3EaMzxmZUXaMcfNtHUdVFeieC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47Vp0V59DAKhmFbFc13UUVbtyq34nRUxDnh4UrfDf8Qr41/ar8axaR+2brVj8V/F0ml+HLH4Qw3Phxb6ZILQo93c/2vOjMQHlRYtPD5zsRkPAfn7KrhPjl+zF8AP2l7fRbT48/CjSPFMfh3VF1HRU1WAuLW4AxuGCMgjGUOVbAyDgVjneXVM1y+WHhLlbaflo9n/W56vD2YYDL8dKWNi3TlFxbik5x1TTjzNK91yvVe65Hw5+yH+0bDqHwc8Ba14z/bV1C68QXWiWwudF1HxtYr5ssibUje2UBlcqyfIMENgdRivvz4T3euXvgHT7nxC0jXLI3zzZ3sm47S2ec7cfWt77Jahtwto8567BUlcmVZJicuxLq1cTKppazvZap31b7GWa5pQzGrOdOhGmpScrR2SbfurRaK9vkFc/8VPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9BKMZxcZK6Z5dGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhRRRTICvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5z+av8AZ2+NH7Rehf8ABWabxh8R/ifrXhTxVrHjm9sPiBqsl9HYzQ2xmYXUMjSfJEirGAFPC+WgXlVr9ePAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/AOk3cIEY2sc4GRDFkgAtsGScV3UdvBEd0UKKfVVAr4WnwhitYzxT5XK/Kk2nre71Sv8AJ69z9d8RPEnLuM8ww2JwuCVH2VCFN7bq97WXwRvaK3tva9k+iiivuj8iCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/wDbN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/8ACbxn8Bv2Fvg58E/iLHs1/wAJ/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/wDBCnXtSvf+CWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/BQr9mjT/wBsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8ABdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wAIwv8Abx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v8AW7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8AFn4P/D4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4/wD+Dejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wAFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/AA3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP8AgpH8G/jj4q/4LNfD/wAb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//9k=", "info": {"equation": "180/12=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "180/12=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c9bc124e7633ed838825ead1be00d26f6e756d626cd50fe31e7302764834e2d0"} +{"episode": 67256, "episode_seed": 2370921019, "split": "train", "timestamp": "2025-10-28T03:49:18.274747", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2370921019, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 6, 2, 7])", "action": "('move', [1, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "80+2=82", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "80+2=82", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ae466af46880930dfd137c1d9a3a0da870d6462fd794c4304b3f334b9d1453d4"} +{"episode": 67257, "episode_seed": 740609023, "split": "train", "timestamp": "2025-10-28T03:49:18.328597", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 740609023, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 2, 0])", "action": "('move', [0, 6, 2, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "0*75=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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", "info": {"equation": "0*75=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8be5c0013b033f7809ebf1f66d0cd351975bb07027fb452230e1c217a4f7624f"} +{"episode": 67258, "episode_seed": 2580457155, "split": "train", "timestamp": "2025-10-28T03:49:18.391551", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2580457155, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 5, 1, 7])", "action": "('move', [2, 5, 1, 7])", "reward": 0.0, "image": 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7LP7NXiHXvFfwI+Bug+GNQ8TSBtbutMtSrXGHZwo3EiNNzsdibV6cfKMekra2qMGS2jBHQhBXxGH4Qx9PD+z+uOO+kb2/9KXz0P1PxR8TMr474kjmGFwXs4xhGF5cvPJq7blZNaX5Y6vRJ6Xssj4c3WvXvgnT7nxMri9eHM3mLhjydpYdiRgketbdFFfb0KTo0I03JvlSV3u7Ld+bPx+pJTm5WtdhX86v/Bwn4t+OGuf8FH/Efh74rTaiuiaRp9ongO2uotluNNeFGeWEDhw1x54Z+SWj2k/IAP6Kq8U/a5+Cf7BXxX1Pwre/to+H/Ad1d2l5JH4SfxlqUNs8krNGXih8yRPOyRHmP5geMjnnx+IcsnmuA9lGfJZp67Pyf36edj9R8H+N8LwFxb/aFfCuupU5QtFJzi3Z80L9fd5Xqvdb9H8Ff8E8/wBoLU9c/Yw8EP8AGn9tzVtF1pNNltRpf/Ce2Nk1tZxTSRWiiIjdHi3SLGfmPBPJrqNJ+G3wJ+Evxu+A/iX9j7Q9Gh8XX/xEtbOG88M+TeXGseH5nlGtS3Uu5mnhWHzZGuGJKSpGAwJCH9Mo9PsIo1iisYVVVAVViAAA6AV8CfsVfs5fAv4ZfHn4ffFbwD8L9L0vxJ4kvdTbXNZt0cz3e+xvZHBLMQoZwGIUKCQOOBj5PG5LicBmGDVTEynzTSV7+7a212yMHxdha+NzHHqk6UanPNUYW9nJz57QnrH3IqTt7sm1eK5b8y/QGiiiv0k/Lj4y/wCC9/i745eDP+CbfivUPgbLqML3N/a2niq60uLdLDo0hdbkkj5kQny0dh0R2zhSxH4//wDBFz4p+Lvh/wDtT3Gh2fxnvPBXhnV9DnbxPfWusW9gsohRjbK0swIB85xhV5O49s4/pD1vS9G1vRbzRfEVhbXWn3lrJBf2t5GrwzQupV0dW4ZSpIIPBBOa8k/Y3+D37Dfwu8FatB+xBo/ghdDvdUDazc+DdUiv45LpY1wkkySSHcqMpCFvlD5AG8k/KZxkFfMczp16dfksrdbr/Dqt766n7Xwn4l4HIfDDMeHqmX+1nWldVLLlXMkv3jab5oct6e+va138pa/4Y/ZH+PmvjUfi18VdC+KV3puj3UdtF4w8XWuqR6ZZsAbmWKIMEgyAu+faGUInzrtFfQP/AASm17xnr/7I1q/iPU9Tv9Gs/E+rWfgHUdXTE934ciunTT5N3WRPJAVJDy0aockEMcD/AIKFfs7/AAQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Grg+I8RTnVc3GKu31vZ66vbZanx+ZZ3Rr8IUsIuaUpTvaVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/AN8Cv5kP+Cr/AMQP2hdS/wCCknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/ADAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewV+cf/BzJ4u+OPhv9ibRdM+G02oweF9W8UrbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jlY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBqsywksdgalCMuVyVr/106PyPf4Lz+hwtxVg82rUVVhRmpOD6ryvpzL4ovpJJn4A/wDBDD4veKPBvjzxp4O1b9oG+8D+D59HS9m+z+ILbTkuNTE0UcXzzAlz5PnfKvGACf4a+8vHvw+/Yf8AjVa+I/G3xo8feHfiHPF4fEGr+IPE/ii21O40rTlYlRE4YLaKJCWDIFLO2CTnFfd/wL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAPlj/goL+zX8BfjV+0JfeIfix8KtJ1688PfDOzm0aa/jYi2c3WpuSFDBXBaNDhgw+Xpyc/nebcPYvLMn56mIclG3ua8ur6a9L9j9GzzxBy/izxCq5tQpzwtOdvep29q1GK1laUVeTSv7zUdPitr7l/wTm1z4qeJP2H/hrrPxoW+/4SGbw4n2h9UtBBcy24d1tZJYwBtke2ELtkA5Y5AORXtdc58HmLfCTwszHJPhyxJJ/690ro6/S8PB0sPCDd7JK73dluz8fzPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eJa/wDA39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBjw+Icoq5tCkoVeTll1637ea6er1P1fwf8RcF4f18wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/8AB/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfPQyrEYHiTCwqYiVRtSd3e+iemrej6nzmC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj4m+PPjHXov+Cjer+H/AIn+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv8AZ+8MeDvibrWg3HgjxiNesNO8R/2rda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/wBkYeVN1HNyk5NtW3t5vt3Pkcbi/rlRS5bJK1gooor2DjCiiigAooooAK/nV/4OE/Fvxw13/gpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/+xz+y/wDtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rxM/yqrm+B9hTnyu6euz8n+fqj9Q8JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/BP/APaU8R+LP2QvBut/Hv8Abp1vTvEslpNHPaXXxAsbaWO3SeRLbcjguCYFjOX+Zs5bkmvr39l3wX4V8VeKfC3izwRqqXui+HIrifT77T7tJ7effBLbYMq5D/61z8pzuU+hFfS0en2EUaxRWMKqqgKqxAAAdAKlREjXbGgUDoAMV5WG4Wr0sXSrVsVKag7pNP8AC8nb7j5fOuIqOa4/E4ilho0lWlOXLHaKlJvlVktFeyFooor7A+XPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/4It/GPx78Pv2mLnwdZ/HXUvBXg/WNInn8US2uuw2EMrwxv9mLPNldwkkAG35iGI6Zx/SBrGkaV4g0m60HXtNgvbG+tnt72zuohJFPE6lXjdWyGVlJBB4IJFcD+z1+yP+zZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/4a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/xBk1fOIUlTqcnI79fv06rp6vVH6/4R+JWW+HNfHTxmD9uq9NRW101f3Xf/l3O/v2u/dj7rPkPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf8AZf8ABpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/8An0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jn5ti80hiKMqcKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/+Crv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8Erf2b/2mbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/wDBRP8AZg/4J+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/wDBx/4t1aX9g2L4KeD/AIR+P/F3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wAFMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/AMEZvijrH7Vf7ZfxY/bW/aM+DfxN8H/FnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/wVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wP8Cv2g9e+JEVlb3/wyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/+CjfhD9pb4hfsR/EX4f/ALIUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/AAUF/Zf/AG+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/wCDfX4WftJfBP4t/tM+A/it+xL/AMKg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/AAVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4/8A2FPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/+yl+1x8Jv2yPh5P8AEj4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/8HBP7O3xi/aY/4Jl+J/BPwO0HWNW1vSvEeh67JpHh0btQvLSy1CGedbZf451jVpET+JowACSBVH/ghtb/ALQcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD//2Q==", 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", "info": {"equation": "8+35=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "8+35=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "6c344e2fea86b4b956205ec973a262da0656ca97b254c727ac29c0f636230563"} +{"episode": 67259, "episode_seed": 2093730265, "split": "train", "timestamp": "2025-10-28T03:49:18.467304", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2093730265, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "73+91=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": "73+91=164", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c276828f9946cc826e7a323eb38253dedc16806b3aef731642ab1a62b8aac072"} +{"episode": 67260, "episode_seed": 1606241757, "split": "train", "timestamp": "2025-10-28T03:49:18.528355", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1606241757, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [2, 0, 6, 5])", "reward": 0.0, "image": 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V2hYj5oyVJBKnKkg4yK0q/SYThUgpxd09U/JnzUouMmnugoooqhHk37d3iD4yeFP2N/iT4k/Z8ivG8aWXhG8l8Pf2dbiW4WcIfmiQ53OF3FRgnIGATgV/Ph/wR38VfG2z/wCCmvww1X4VPf3uqal4pSHxJIkP2h5dKlf/AImMkpfPyiAyOXJyCoIOcZ/por8//wBiv9nT4GfDP48/D74reAvhhpml+JPEl7qba5rNujme7L2N7I+SzEKGfDEKACQOOBj4ziTDSqZtgp87V5W9NU7rz6H7Z4b+ImX8KcHZxldfBqrPEQ92WltYuPLO+rjG/NFLq2tL3X6AUUUV9mfiZ8Zf8F7/ABd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/APgi58U/F3w//anuNDs/jPeeCvDOr6HO3ie+tdYt7BZRCjG2VpZgQD5zjCrydx7Zx/SHrel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIK+Y5nTr06/JZW63X+HVb311P2vhPxLwOQ+GGY8PVMv9rOtK6qWXKuZJfvG03zQ5b099e1rv5S17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/wDBJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNTB8R4inOq5uMVdvrez11e2y1Pj8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BRRRXec4V/NZ/wXH8XfHLxN/wUk+IFh8bZdRWPSb8WnhC2vYtkUWjAbrYwAfKUcMzlh952fPzZA/pTr4k/wCChH7OPwK+N/7Qt74j+Lnwv0vxBe+HfhlZy6LNqKO32Vzdam5IUMFYFo0OGBHy9OTn5LjSk55Pz81uWSdu99P1ufrvgxxzgeA+KZ4zFYf2sZ05Q0tzRd07xvpZ25ZbaO+trP2r/gmpr/xj8UfsG/CzXvj9b3cXiy48JwHUhf2ohnZAWEDyIMbXaARMcgEliSASRXuNc58HmLfCTwszHJPhyxJJ/wCvdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8qHxt+Mf7VWnftoa98YfiL4o13S/izp3jB5rq+l/cXljfxSbERV6IqBVRUHyBAFGVr+q+vEtf8Agb+wPqX7YenfE/xH4b8Av8bVtFl057nUIRrMkSQOizLbGTdIVhVwJNhIVOCAgx4fEOUVc2hSUKvJyy69b9vNdPV6n6t4P+IuC8P6+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/+D/xR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC/wD4KKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/7a/h/RNb/AGR/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP8Agnt8B/g5+z38U/Hng74J/DvTvDemXPh/Rbq5tdORsSzG51Rd7M7MzHaqgZPAHGK+ehlWIwPEmFhUxEqjak7u99E9NW9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fBRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgplxBDdQPbXCBo5EKup7gjBFPor1Gk1ZnLscf8Pfg9pPw/1i51i31KW5eVDHAJIwvlRkg446njrxx2q98SPh1Y/EXSorG4vWtpreUvBcLHuxkYIIyMg8dxyB+PRUVwRyrL4YJ4SNNeze619d73/HQ6HisQ66rOXvLqZ/hbw7ZeE9AtvD2nMzRWybQ743MSSSTjuSSa0KKK7adOFGmqcFZJWS7JGMpSnJyluwoooqyRHLhCYwC2PlB9a+efgr8KEj+LGkXMekTadD4Slupo7WFCIo2kglgEZ3AnGJmYc5OAeRmvoejA9K8rH5XHHYqhWc2vZO9u+33bHVh8U6FKpBK/MregUUUV6pynxl/wAF7/F/xz8Gf8E2/FeofAybUYZLm/tbTxVdaXFulg0aQutySR8yIT5aOy9Eds4UsR+Qn/BFv4x+Pfh9+0xc+DrP466l4K8H6xpE8/iiW112GwhleGN/sxZ5sruEkgA2/MQxHTOP6QNY0jSvEGk3Wg69psF7Y31s9ve2d1EJIp4nUq8bq2QyspIIPBBIrgf2ev2R/wBmz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzfh/FZlmMMTTruCStpe69LNb311XzP2fhXxQyvh/w1zDhqtgVUqYiTcZ6cvvKKvO+vNT5b07X1tta7+ZfAnjr4e+MvF8P9j/ALRB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7n5TjMfHFU4wjBRS7f8Mgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP/vgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhRRRQAV4R+0x4Ik1/xy0kWhv5ur6EumC8t0YvKgaYhO4ypmkYcfxEnIr3eivLzfLFm2CeHc+VNp332OrB4p4St7RK5neENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRXppWVjmbuwr+VD42/GP8Aaq079tDXvjD8RfFGu6X8WdO8YPNdX0v7i8sb+KTYiKvRFQKqKg+QIAoytf1X15lq37Gn7LevftBWv7VWsfA/Qbj4hWaKtv4pltibhdsRiViM7WdYztDlSwAXBG0Y+f4gyavnEKSp1OTkd+v36dV09Xqj9f8ACPxKy3w5r46eMwft1XpqK2umr+67/wDLud/ftd+7H3WfIej/ABj+HfiPwVYWHxM/bcm1JrvS4Br2j6l8RrBre4kaNTNDIiYyhbcCoI44zX1P+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M/NsXmkMRRlThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+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/wCGUvw90W7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0zS/EniS91Ntc1m3RzPdl7G9kfJZiFDPhiFABIHHAx8ZxJhpVM2wU+dq8remqd159D9s8N/ETL+FODs4yuvg1VniIe7LS2sXHlnfVxjfmil1bWl7r9AKKKK+zPxM+Mv8Agvf4u+OXgz/gm34r1D4Gy6jC9zf2tp4qutLi3Sw6NIXW5JI+ZEJ8tHYdEds4UsR+P/8AwRc+Kfi74f8A7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6Q9b0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZBXzHM6denX5LK3W6/w6re+up+18J+JeByHwwzHh6pl/tZ1pXVSy5VzJL942m+aHLenvr2td/KWveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v/gkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv8AgoV+zv8ABD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAVwZDgamD4jxFOdVzcYq7fW9nrq9tlqfH5jndGvwhSwi5pSlO/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+GPNJvlj5K9l5IK/lK+PfxU/abb9sfXvit8V9a1ez+Kmn+M/tN1c3kYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WteJa/wDA39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBjwuIcnq5tCkoVeTll163/VdPV6n6t4P+IuC8Pq+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/wDg/wDFH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/8Agope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P/ALa/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivn4ZViMDxJhYVMRKo2pO7vfRPTVvR9T5zBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6GfnwUUUUAfO9j8Kv7Z+N0NidIlsUsvF767MLZSEMgmkmLksD8ruxJ9STjFfRFFFeVlWVxyuFSKm5c8nLXz6f8E6sXinipRbVrJIKZcQQ3UD21wgaORCrqe4IwRT6K9RpNWZy7HH/D34PaT8P9YudYt9SluXlQxwCSML5UZIOOOp468cdqvfEj4dWPxF0qKxuL1raa3lLwXCx7sZGCCMjIPHccgfj0VFcEcqy+GCeEjTXs3utfXe9/x0Oh4rEOuqzl7y6mf4W8O2XhPQLbw9pzM0Vsm0O+NzEkkk47kkmtCiiu2nThRpqnBWSVkuyRjKUpycpbsKKKKskRy4QmMAtj5QfWvnn4K/ChI/ixpFzHpE2nQ+EpbqaO1hQiKNpIJYBGdwJxiZmHOTgHkZr6HowPSvKx+Vxx2KoVnNr2Tvbvt92x1YfFOhSqQSvzK3oFFFFeqcp8Zf8F7/ABf8c/Bn/BNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wAEW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/pA1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/mXwJ46+HvjLxfD/Y/7RB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7n5TjMfHFU4wjBRS7f8Mgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP8A74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoUUUUAFeEftMeCJNf8AHLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7Cv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPn+IMmr5xCkqdTk5Hfr9+nVdPV6o/X/CPxKy3w5r46eMwft1XpqK2umr+67/8u539+137sfdZ8h6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/ALL/AINNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/AM+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M/NsXmkMRRlThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", "info": {"equation": "1*19=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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", 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", 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0zS/EniS91Ntc1m3RzPdl7G9kfJZiFDPhiFABIHHAx8ZxJhpVM2wU+dq8remqd159D9s8N/ETL+FODs4yuvg1VniIe7LS2sXHlnfVxjfmil1bWl7r9AKKKK+zPxM+Mv8Agvf4u+OXgz/gm34r1D4Gy6jC9zf2tp4qutLi3Sw6NIXW5JI+ZEJ8tHYdEds4UsR+P/8AwRc+Kfi74f8A7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6Q9b0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZBXzHM6denX5LK3W6/w6re+up+18J+JeByHwwzHh6pl/tZ1pXVSy5VzJL942m+aHLenvr2td/KWveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v/gkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv8AgoV+zv8ABD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAVwZDgamD4jxFOdVzcYq7fW9nrq9tlqfH5jndGvwhSwi5pSlO/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+GPNJvlj5K9l5IK/lK+PfxU/abb9sfXvit8V9a1ez+Kmn+M/tN1c3kYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WteJa/wDA39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBjwuIcnq5tCkoVeTll163/VdPV6n6t4P+IuC8Pq+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/wDg/wDFH4XQeDfjj+2hNrVlquk26eJ9A1L4m2a212xRGmgmEJQmMuGVkDAMuVOQSD0n7GPhXwd8L/8Agope+Dv2a/D9hpfh/U/ho9z8UtK8O2EKWFrexXES6PJJ5YxBcSRSX2EG3fGgcqc7z9P/ALa/h/RNb/ZH+I2i6tpUE9peeEb2C6geMbZI3iKspx2Kkj8a8o/4J7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivn4ZViMDxJhYVMRKo2pO7vfRPTVvR9T5zBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6GfnwUUUUAfO9j8Kv7Z+N0NidIlsUsvF767MLZSEMgmkmLksD8ruxJ9STjFfRFFFeVlWVxyuFSKm5c8nLXz6f8E6sXinipRbVrJIKZcQQ3UD21wgaORCrqe4IwRT6K9RpNWZy7HH/D34PaT8P9YudYt9SluXlQxwCSML5UZIOOOp468cdqvfEj4dWPxF0qKxuL1raa3lLwXCx7sZGCCMjIPHccgfj0VFcEcqy+GCeEjTXs3utfXe9/x0Oh4rEOuqzl7y6mf4W8O2XhPQLbw9pzM0Vsm0O+NzEkkk47kkmtCiiu2nThRpqnBWSVkuyRjKUpycpbsKKKKskRy4QmMAtj5QfWvnn4K/ChI/ixpFzHpE2nQ+EpbqaO1hQiKNpIJYBGdwJxiZmHOTgHkZr6HowPSvKx+Vxx2KoVnNr2Tvbvt92x1YfFOhSqQSvzK3oFFFFeqcp8Zf8F7/ABf8c/Bn/BNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wAEW/jH49+H37TFz4Os/jrqXgrwfrGkTz+KJbXXYbCGV4Y3+zFnmyu4SSADb8xDEdM4/pA1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc34fxWZZjDE067gkraXuvSzW99dV8z9n4V8UMr4f8Ncw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/mXwJ46+HvjLxfD/Y/7RB8d63FaSR2NvdeLbbUZ7eFnjaURRw4IDNHDuOD9xOnf64+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6VLa3ibdHAin1VQKfXTk+RTyzE1K9Ss6kpJK7Xbzu7n5TjMfHFU4wjBRS7f8Mgooor6E848y+KP7Gn7LXxq+K+hfHL4rfA/Qdd8W+GvK/sTXL+2LTW3lSGWMcEBwkhLKHDAEnGM16SbO0JybWP8A74FSUVEaVOEnKMUm99N/XudVfHY3FUqdKtVlKNNWinJtRW9opu0VfWysIqqg2qoAHQAUtFFWcoUUUUAFeEftMeCJNf8AHLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7Cv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPn+IMmr5xCkqdTk5Hfr9+nVdPV6o/X/CPxKy3w5r46eMwft1XpqK2umr+67/8u539+137sfdZ8h6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/ALL/AINNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/AM+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M/NsXmkMRRlThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/2y/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf8AbN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/BRvwh+0t8Qv2I/iL8P/ANkKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/AIKC/sv/ALfMXje7/Zh8a3Gu2vw/8WTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8G+vws/aS+Cfxb/AGmfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv8AgqB+zr8M/wBqqb9ji58IfErXfGVm+lDVT4S+G2parYaYuoki1kurq2iaK2RgHJeQgARuScKcfRlfkt/wVQ8AfELSv27X8f8A7CngT9pnS/2ide8X+EIIdb0G1u4/AGraLbBROb+WL/RJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/Hz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/AGUv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/+Dgn9nb4xftMf8Ey/E/gn4HaDrGra3pXiPQ9dk0jw6N2oXlpZahDPOtsv8c6xq0iJ/E0YABJAqj/wQ2t/2g4/h18WLn4iT/FhvhvP8Tpm+Cg+OD3TeJRo32aLzTcfbP8ASREbnzfLEvzYDY+XFAH3LRRRQB//2Q==", "info": {"equation": "1*19=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "058705dc81cf3b3ca59f8b977121c55cb85e4464adbe2c2a9cb9df4546df3c90"} +{"episode": 67261, "episode_seed": 2042283641, "split": "train", "timestamp": "2025-10-28T03:49:18.608575", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2042283641, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 0, 0])", "action": "('move', [2, 7, 0, 0])", "reward": 0.0, "image": 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sppJXbdlsvJeR/OV+wj8YPjZpH/BVnxB4j+LHxb1bwfrOt6jrtv8AETVptSh0+ZCDJI0EjzDbGBcxQKEHTYqjiv0at9H+DVx8cvh78aPhN4ytPFnxHvvixpFqfFkWq2+q6ndWzoIL+2eVSdtuml/aGZFACBBJgMdx+5PB37NvwI+H/wAVfE3xw8GfC3SdO8WeMhEPE2u28GJr8RjCb8nA6AnaBuIBbJGa8E1b4NfCtf8AgpBB8bh4FsP+Eti1qDTYte2N56Wh0J2MQ52gEk8gZwSM4OK/Oq/D2Ky+dGc8Q2nWjprbWXxb799Ou5+3cS+JWW8VcQf2hQwzoRhhVTcY2/eOMdYTs1+6bfL9puEY+6m/d+sq8T/4KQa/8T/C37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Br03Woypp2umr9rrc/HMsxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P/BEjxj44ns/ip4FuvEd1/wAIzZeBr/ULXT2mXyre+lEMck6g8qzRxRgnpiNc9BX7a/smeNNS8c+Fpdai8Yt4h0p7e3+xayb1blbhgpVmWVPlcnaNxXjPpmvH/j1+zr8EP2ZfBll8P/gH8NNM8LaNPoPiW+m0/SoiqPcSLYh5DkkkkKo68BQBgACvrezREtIlRQoEYwAMDpXw2QZLXwebTjKs/wB1y3SvaXNF26/Z6afcff8AiVxfguMc+r5rhsP7OFd6J25lyKMbu2l5Wu7Pru9ySiiivvj8yPk7/guB4g+KHhr/AIJifE/UPhRLeR3slhbW+pS2CbpE02W6ijvOnIQwNIHI6IWPAya+dP8Ag1u1X4i3f7JXjzSteiuP+EatPHCnw7JLAAhme2Q3So3VgCICR0BY+pr9BP2mtOsdY/Zx8faRqlqs9rd+DdTguYH+7JG9rIrKfYgkfjXAf8E/fhf8PPg18K9f+HXws8I2eh6HYeL5fsmm2KkRxl7Ozdj8xJJLMxJJJ5r5yvRb4oo1OZ/w5adNH/8Abfgj9LwPF+Ew3hVi+HHhk6lTEQqKppolFad7rlsunLOW3X3evxU/4OpPEPxRHxj+Fnhi5kvE8GL4aurvTwI8QSap9oKTncPvSLCLbg/dEnH32r9q68z/AGlvhh+yl8TNO8MW/wC1Xo3hS7trHxTbTeFB4qu44VOrYYQpCXdfMlYbsRDO/HKnFdud4CeZZdOhGfK3bV7aNPU5PDDiuhwXxnh81rYd14wU1yxtze9Bq8b9Vf7rnwv8IfEPwr/aM+B/w90n9pz9oO28d6tNoVhqGpeEPFHjCyubb+0/sf7xns0wGZN8pCtkIcnGVBH2B/wTYmvZP2LvB0Dy3EmnWv2+18MS3MQRpNEhv7iLTGGOGQ2SWxR/4k2tk5zTP2/vhJ8NPjJ8JNF+HvxQ8GWetaLfeL7U3mnXQYJKUhuHXJQq3DKDwe1d1+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2ArxMmy6tl+e1YVKzqP2a1fnL1e1vxOPNs8oZhkDpwg4c9ZzUFbkgkpaQ1+056rlikoR1lf3e9rnfizBpk/w71Uas2IltiysFBIkBGzGe+7H510VeMfthfEi88O+DZfD/AIbtGu9T2LJBaL0muHby7aLODjdMyZOOBzyK9zO8TDDZXVcle65Uu7lokfLYGnKriopaWd79ktTjf2Jdd8NeMvjX8QtXeMnUtHtrPStKeWOPDWSyTfaJIWDlmDXiSRSAquDaxdetfTNfMvhD4P3X7OHxi8B2nh6686Cz01tM1eeaSNWvbe6VWnlLeWMv9tijmwNnys/chT9NVx8NSVPL3hZK06TcZL53T+aZtma5sR7VO6mk1/l8iHUGuUsJ3slzMIWMIx1bBx+tfzpf8EzPjZ8bNG/4KM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwr+jOvMvhR8LP2TvC3xl8f8Ai/4O6F4Sj8c6zd2z/EaXR7qKW+84q7Q/ao1YmFmBdgCF3nLHceaeeZRWzSpRdOt7Nxb231XTVaq3fZs+74H41wvDHD2c4Gtg/bPF0owUrK0LSavK6dl791/fjBdbr418P6L8Hh+0V8NfjF8G/Fdn4p+IWrfFK2tr3xXBqkGqalqFm1m0WoQzzKTiCLT1DbQAIvLiIALZb9F6+UbT4M/Cq0/4KTTfG628CWCeLZ9c/s2XXgh882g8NhhF12gZA5AB4xnFfV1YcL4aeFo4iEpuTVWSu+tra9d+p83xLmVPMKeDjFyfJSSblurtvkjq/chtHbq7RvZR3lraX1pLZahbRzQTRsk8MyBkdCMFWB4IIyCDXnP7LXwz/ZX+G3wmh8O/sjaR4Vh8HNf3E0J8KXkd1aPcl8TN5qO4Zwy7T8xI2heAABxP/BVLxB8UPC3/AATu+LmvfBuS8TX7fwhOYJdPj3TRW5ZVupE7grbmZtw5XG4cgV+Sf/BC34y614b8F+PvBHi39pzUvBPhq1vrO60awi8V22nxSXkqyLcuomBLHZFb5xwMDuarOM+w+UY6nCpScrxburXWuyv6a69j6bIOB8XnHhzmGe08XyQo1acXSu7T2XM1e117T3NHpz7H71qqooRFAA6AClry39lvxhqXjbwzc62PFTa5pkohbT9W+1rcJcfKQzJIvyuDhSSvGSa9Sr2MuxsMxwccRGLSlfR76Nr9D84xNB4as6bd7BXxz/wXq1/4neHv+CYfj6f4YPeI1y9la69LZR7nXS5blEuQT1VGUhHI/gZgeCa+xq88/az0XSvEn7M3jvw7r1il1Y6h4XvLa9tZc7ZoZIyjocc4Kkj8aMxpurl9WCdrxlr8j1uF80p5JxJg8wqU1UjRqwm4v7SjJO34aeZ8Of8ABsFqvxEvP2HvE2neJopxoFn49nXwxJNAFUq1vC1wEbq6iUk9wGZhnqB+k1eIfsDfDfwH8Ivg/qnw6+GXha00XQ9M8VXSWGmWSkRwhooHbGSSSWZiSSSSTXt9cuQxccmoK9/dT+/X8Nj0ePc7ocScZY7M6NP2catRyUdNFtd205na8v7zerCvyY/4OqfEHxQtPhj8JvDelyXieDb3WtSm1ryk/cPqMcUItFkb+95b3ZVTwcMf4eP1nrwT/goT8Jfht8bPhh4Z8AfFnwdaa9otx40ilm0693eW7x2N6yE7SDwQD1rPiOm6mR10nb3b/c72+drHX4bcR4bhPjfBZriKXtYU5O8dL+9GUbq+nNG/Mr21S1W5U/4JPat8Rtb/AOCcPwe1H4rRXCaw3g2BMXUAjdrRGZLRiB62qwEHqwIJ5NfQ1cZ+zjbwWn7Pnga0tYEiii8IaakUUahVRRaxgKAOgAGMV2delg48mEpxve0Vr8j5jOsbHMs4xOLjBQVSpOaito80m+VeSvZBXkP7T3gRvHGpaLpn9nOftkFxp4vIATJGszRl1HUDhA3I/gPYGvXqKyzLArMcHLDuXKm1r6NP9Dkw1d4asqiV7X/FWCiiiu4wCvIdR8C/2l+1Bba3/Z0kItp11F5olOJytk9sGYnI6Pt4x9we9evUVwY7ArHeyvK3JOM/Xl6G9Cu6HNpfmTX3hRRRXeYHkf7VHgk+NoNJ0wac7m6iu9PF1ApMkQuBGGUdQM7AeR1T6163GgjjWMHhQAM0tFcGHwKoY2tiOa/tOXTtyq34m9Su6lCFO3w3+d2FFFFd5gYnxJ0sa38Ptb0ZtPW7W70qeF7VgcSq0ZUrxzyCelcv+zX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wADdV3HDOjbdp39Ar8V/wDg6d8U/Fiz+NXwp0EXd/b+EIfDtzfaW8QKQnVhclZmDjrIkItsZ+6JMj75r9qK4r40/s5fA39ou00aw+OHwx0rxND4e1mPVdGj1SEuLW7jBCyLgjPB5U5Vu4OBWGdZfUzPL5YeEuVu2vo76n23hpxfhOBuMKGcYmh7WEFNOKtf3ouN430ur/dc+Hv2YvjJZfEj4Z/D28+Jv7VNz4o8YXnh+xur3w7qXjK0uD/ab2oMuLaLDeYpaQbRnbk8cV97fCjwwPBfwz0HwoGkP9n6VBCfOxvyEHXAHNbq2tsjb1t0DDoQgzT65coySrltedarXdRySWq2S16tnzOa5pDMqspQpKmnJytHZX6LRaLYK5zUfhtpeo/EC08fy3TiW2h2m3CDa7DIVs9RgE8ew9Dno6K9ivhqGJUVVjezUl6rZnl06tSk24u11b5M5zxh8N9L8Ya/pev3l08babLuaNVBEyghgpPb5gOfQke46OiiilhqFGrOpCNpTabfeysvwCVWpOKjJ6LYh1BrlLCd7JczCFjCMdWwcfrX86X/AATM+Nnxs0b/AIKM+JdR+Kvxt1rwde+I21dviTqE2sRafJJdI0kmyZphtVxdbQFAyMlRhSwr+jOuI8B/s3fAn4YfEXxV8W/AHwt0nSvEnjaeObxVrFrb4m1GSPdtZySQDlmJ2gbicnJ5rx87yevms6MqVV0+RvVXvqt1ZrXTvs2fo3BPHOB4VyDOMvr4VVpY2nGEW7e603vfpaXMrfbhH1XiX7KUfhT4hfEGy8WeFfiY3i4aXfz3eoa4usw37y3Bs2tgk0sXy5EciALwcIvvn6kpscUUQ2xRqo9FGKdXVlGWSyvDSpSqObcnJt73dvN9u58DjMUsXVUlHlSVrEd3aWt/ay2F9bRzQTxtHNDKgZJEIwVYHggg4INcf8EP2dvgh+zb4FT4Z/Av4aaX4a0JLuW6Gm6dCQhmkILyEsSSTgDJPRQBwAK7SivTcIOak1quvXUzjicTDDyoRm1CTTcbvlbjeza2bV3Zva7tuIqqihEUADoAKWiiqMArn/ivpQ1z4ba3o7act2tzp0qNbMCfMBHIwOScdPeugorKvS9tRlTvbmTV/VWKhLkmpdjgP2cfDDeHfAM13J5obVtUlvmWUYxuVEGOBwRGDz6+mK7+iissFhlg8HToJ35ElfvZF16rrVpVGrXdwrzz9pLSX1PwZZTJpn2g2erJMjBSWhYxyRhgB6iQrz/er0OipzDCLH4Kph+bl5la/YeHrewrxqWvZmJ8NfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiiumnBU4KK6KxlJ80mwoooqxBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjfx2/b2/Zi/Zv+O/gP8AZw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f8AwXS8b+HF+FnxBitJPgbo+gReKbnwJfx6HLf219f6hLGmomP7O4EF5AAQ2DJvjHzIRQB9o0UUUAMnnitYHubiQLHGhZ2PQADJNeQ/sjft2fs7ftu2fie4+A+vatNP4P1aOw1/Tte8PXWmXdu0sQmt5vJuo0cwzRMJIpANrryK9euJlt7d7h0ZhGhYqi5JAGcADqfaviH/AII3fE7UP2h/E3x0/ak+Ivwt8f8AhDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/AGgPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/av8V6H4L/Zv8Z694o8M+NdX0saFNb6nZfDi3nl137NPiCWWyW2ZZvOjSRpVMJ81fLymWAB8V/4IpeBvH3w4/4J0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8AMWoA+rKKKKAPOP2tf2r/AIJ/sR/ADXv2mP2hvEkuleE/DiwHUbq3tHuJS008cESRxIC0jtJIihQM856CvQrK7g1Czhv7YkxzxLJGSMEqwyP0Nfn/AP8ABxj8GP2pPjZ+xgNF/Z8+BP8AwsTStLtNav8AxRoFtrAtrtJP7Knt7K6ghEUr3zwyXEky2qKGkkjiwylefub4VXXii++F/hu98b+Gk0XWptBs31fR4r0XK2N0YUMsAmCqJQj7l3hV3bc4GcUAb9FFFAHjvxM/bg+Dvws/ah8Mfsh6x4f8Z6j4v8VabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/wAFDvCXjH/h5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv9tf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/4LW/F2KWx+J1v4R1/xJ4t8QeK5dVM//CIXlhero0mhSWG79y1+JBqMcxT94Eh2v8ojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/2/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wAIP8Uv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/wCCxfhLxp45/wCCc/xC8L+B/Bes+IJrhtJbU9L8N2TXGqNpaatZyahJYxqCxvI7RbiSEp84ljQp8wWgD2H9mz9oz4WftZfBbRfj58GNWurzw9rqzi1a/wBPltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//wAEbvCXi/wR/wAE8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/wDBxD8BPHnxi/Z/8M33wXT4gnx4ya/4W8OQ+B/Ao12G/j1zS5LG4sb7Lr/Z8Ey7B9vOVg2EkZZaAP0Lt7iC7t0u7WZJIpUDxyRsCrqRkEEdQRT6wPhV4WvvA3wv8N+CdUuVmudH0CzsbiZTkSSRQJGzAn1Kk1v0Af/Z", 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", 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", "info": {"equation": "74-19*3=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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8RNWm1KHT5kIMkjQSPMNsYFzFAoQdNiqOK/Rq30f4NXHxy+Hvxo+E3jK08WfEe++LGkWp8WRarb6rqd1bOggv7Z5VJ226aX9oZkUAIEEmAx3H7k8Hfs2/Aj4f/FXxN8cPBnwt0nTvFnjIRDxNrtvBia/EYwm/JwOgJ2gbiAWyRmvBNW+DXwrX/gpBB8bh4FsP+Eti1qDTYte2N56Wh0J2MQ52gEk8gZwSM4OK/Oq/D2Ky+dGc8Q2nWjprbWXxb799Ou5+3cS+JWW8VcQf2hQwzoRhhVTcY2/eOMdYTs1+6bfL9puEY+6m/d+sq8T/AOCkGv8AxP8AC37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r9Br03Woypp2umr9rrc/HMsxkcvzKhipQU1TnGTi9pcsk+V+TtZn4Ef8EKvjFrXhbTPH/grxN+0rqXgjwxHJaXthZw+KLfTopr+TekrgTAl28uKMHbwAq57V+0P7KnjPUfG/h251mDxg3iDSXihFlrH21blbhgCrMsqfK+do3FeM+ma6L4Hfs4fAr9mrwdL8P/AIEfC/SvDGjT6hLfTafpkG1HuJAoeQ5JJJCqOvAUAYAArtURI12IoUDoAMV8vlHDmLy+tTqVMS5KN/c15dU138+x9t4jcaYHjTifF5lhsN7KNVxte3N7sYq8raXfLd6vfdi0UUV9afnZ8nf8FwPEHxQ8Nf8ABMT4n6h8KJbyO9ksLa31KWwTdImmy3UUd505CGBpA5HRCx4GTXzp/wAGt2q/EW7/AGSvHmla9Fcf8I1aeOFPh2SWABDM9shulRurAEQEjoCx9TX6CftNadY6x+zj4+0jVLVZ7W78G6nBcwP92SN7WRWU+xBI/GuA/wCCfvwv+Hnwa+Fev/Dr4WeEbPQ9DsPF8v2TTbFSI4y9nZux+YkklmYkkk8185Xot8UUanM/4ctOmj/+2/BH6XgeL8JhvCrF8OPDJ1KmIhUVTTRKK073XLZdOWctuvu9fip/wdSeIfiiPjH8LPDFzJeJ4MXw1dXengR4gk1T7QUnO4fekWEW3B+6JOPvtX7V15n+0t8MP2UviZp3hi3/AGq9G8KXdtY+KbabwoPFV3HCp1bDCFIS7r5krDdiIZ345U4rtzvATzLLp0Iz5W7avbRp6nJ4YcV0OC+M8PmtbDuvGCmuWNub3oNXjfqr/dc+F/hD4h+Ff7RnwP8Ah7pP7Tn7Qdt471abQrDUNS8IeKPGFlc239p/Y/3jPZpgMyb5SFbIQ5OMqCPsD/gmxNeyfsXeDoHluJNOtft9r4YluYgjSaJDf3EWmMMcMhsktij/AMSbWyc5pn7f3wk+Gnxk+Emi/D34oeDLPWtFvvF9qbzTroMElKQ3DrkoVbhlB4Pau6/ZasbLSv2cPA+l6ZaR29ta+GLOG2t4UCpFGkSqqKB0AAAA7AV4mTZdWy/PasKlZ1H7Navzl6va34nHm2eUMwyB04QcOes5qCtyQSUtIa/ac9VyxSUI6yv7ve1zvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/wAN2jXep7FkgtF6TXDt5dtFnBxumZMnHA55Fe5neJhhsrquSvdcqXdy0SPlsDTlVxUUtLO9+yWpxv7Euu+GvGXxr+IWrvGTqWj21npWlPLHHhrJZJvtEkLByzBrxJIpAVXBtYuvWvpmvmXwh8H7r9nD4xeA7Tw9dedBZ6a2mavPNJGrXtvdKrTylvLGX+2xRzYGz5WfuQp+mq4+GpKnl7wsladJuMl87p/NM2zNc2I9qndTSa/y+RDqDXKWE72S5mELGEY6tg4/Wv50v+CZnxs+Nmjf8FGfEuo/FX42614OvfEbau3xJ1CbWItPkkukaSTZM0w2q4utoCgZGSowpYV/RnXmXwo+Fn7J3hb4y+P/ABf8HdC8JR+OdZu7Z/iNLo91FLfecVdoftUasTCzAuwBC7zljuPNPPMorZpUounW9m4t7b6rpqtVbvs2fd8D8a4Xhjh7OcDWwftni6UYKVlaFpNXldOy9+6/vxgut18a+H9F+Dw/aK+Gvxi+Dfiuz8U/ELVvilbW174rg1SDVNS1CzazaLUIZ5lJxBFp6htoAEXlxEAFst+i9fKNp8GfhVaf8FJpvjdbeBLBPFs+uf2bLrwQ+ebQeGwwi67QMgcgA8Yzivq6sOF8NPC0cRCU3JqrJXfW1teu/U+b4lzKnmFPBxi5PkpJNy3V23yR1fuQ2jt1do3so7y1tL60lstQto5oJo2SeGZAyOhGCrA8EEZBBrzn9lr4Z/sr/Db4TQ+Hf2RtI8Kw+Dmv7iaE+FLyO6tHuS+Jm81HcM4Zdp+YkbQvAAA4n/gql4g+KHhb/gnd8XNe+Dcl4mv2/hCcwS6fHumityyrdSJ3BW3MzbhyuNw5Ar8k/wDghb8Zda8N+C/H3gjxb+05qXgnw1a31ndaNYReK7bT4pLyVZFuXUTAljsit844GB3NVnGfYfKMdThUpOV4t3VrrXZX9Ndex9NkHA+Lzjw5zDPaeL5IUatOLpXdp7Lmava69p7mj059j961VUUIigAdABS15b+y34w1Lxt4ZudbHiptc0yUQtp+rfa1uEuPlIZkkX5XBwpJXjJNepV7GXY2GY4OOIjFpSvo99G1+h+cYmg8NWdNu9gr45/4L1a/8TvD3/BMPx9P8MHvEa5eytdelso9zrpctyiXIJ6qjKQjkfwMwPBNfY1eeftZ6LpXiT9mbx34d16xS6sdQ8L3lte2suds0MkZR0OOcFSR+NGY03Vy+rBO14y1+R63C+aU8k4kweYVKaqRo1YTcX9pRknb8NPM+HP+DYLVfiJefsPeJtO8TRTjQLPx7OvhiSaAKpVreFrgI3V1EpJ7gMzDPUD9Jq8Q/YG+G/gP4RfB/VPh18MvC1pouh6Z4quksNMslIjhDRQO2MkkkszEkkkkmvb65chi45NQV7+6n9+v4bHo8e53Q4k4yx2Z0afs41ajko6aLa7tpzO15f3m9WFfkx/wdU+IPihafDH4TeG9LkvE8G3utalNrXlJ+4fUY4oRaLI397y3uyqng4Y/w8frPXgn/BQn4S/Db42fDDwz4A+LPg6017RbjxpFLNp17u8t3jsb1kJ2kHggHrWfEdN1MjrpO3u3+53t87WOvw24jw3CfG+CzXEUvawpyd46X96Mo3V9OaN+ZXtqlqtyp/wSe1b4ja3/AME4fg9qPxWiuE1hvBsCYuoBG7WiMyWjED1tVgIPVgQTya+hq4z9nG3gtP2fPA1pawJFFF4Q01Ioo1Cqii1jAUAdAAMYrs69LBx5MJTje9orX5HzGdY2OZZxicXGCgqlSc1FbR5pN8q8leyCvIf2nvAjeONS0XTP7Oc/bILjTxeQAmSNZmjLqOoHCBuR/AewNevUVlmWBWY4OWHcuVNrX0af6HJhq7w1ZVEr2v8AirBRRRXcYBXkOo+Bf7S/agttb/s6SEW066i80SnE5Wye2DMTkdH28Y+4PevXqK4MdgVjvZXlbknGfry9DehXdDm0vzJr7wooorvMAooooAKKKKAMT4k6WNb+H2t6M2nrdrd6VPC9qwOJVaMqV455BPSuX/Zr8MvoHgi91CQShtY1d70rKMY/cxQjHHQiEHn1PbFeh0VwzwKnmMMXzfDFxt6tO/4G6ruOGdG27Tv6BX4r/wDB074p+LFn8avhToIu7+38IQ+Hbm+0t4gUhOrC5KzMHHWRIRbYz90SZH3zX7UVxXxp/Zy+Bv7Rdpo1h8cPhjpXiaHw9rMeq6NHqkJcWt3GCFkXBGeDypyrdwcCsM6y+pmeXyw8JcrdtfR31PtvDTi/CcDcYUM4xND2sIKacVa/vRcbxvpdX+658PfsxfGSy+JHwz+Ht58Tf2qbnxR4wvPD9jdXvh3UvGVpcH+03tQZcW0WG8xS0g2jO3J44r72+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa3VtbZG3rboGHQhBmn1y5RklXLa861Wu6jkktVslr1bPmc1zSGZVZShSVNOTlaOyv0Wi0WwVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0V7FfDUMSoqrG9mpL1WzPLp1alJtxdrq3yZznjD4b6X4w1/S9fvLp4202Xc0aqCJlBDBSe3zAc+hI9x0dFFFLDUKNWdSEbSm02+9lZfgEqtScVGT0WxDqDXKWE72S5mELGEY6tg4/Wv50v+CZnxs+Nmjf8ABRnxLqPxV+NuteDr3xG2rt8SdQm1iLT5JLpGkk2TNMNquLraAoGRkqMKWFf0Z1xHgP8AZu+BPww+Ivir4t+APhbpOleJPG08c3irWLW3xNqMke7azkkgHLMTtA3E5OTzXj53k9fNZ0ZUqrp8jeqvfVbqzWunfZs/RuCeOcDwrkGcZfXwqrSxtOMIt291pve/S0uZW+3CPqvEv2Uo/CnxC+INl4s8K/ExvFw0u/nu9Q1xdZhv3luDZtbBJpYvlyI5EAXg4RffP1JTY4oohtijVR6KMU6urKMslleGlSlUc25OTb3u7eb7dz4HGYpYuqpKPKkrWI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/wCCH7O3wQ/Zt8Cp8M/gX8NNL8NaEl3LdDTdOhIQzSEF5CWJJJwBknooA4AFdpRXpuEHNSa1XXrqZxxOJhh5UIzahJpuN3ytxvZtbNq7s3td23EVVRQiKAB0AFLRRVGAVz/xX0oa58Ntb0dtOW7W506VGtmBPmAjkYHJOOnvXQUVlXpe2oyp3tzJq/qrFQlyTUuxwH7OPhhvDvgGa7k80Nq2qS3zLKMY3KiDHA4IjB59fTFd/RRWWCwyweDp0E78iSv3si69V1q0qjVru4V55+0lpL6n4Mspk0z7QbPVkmRgpLQsY5IwwA9RIV5/vV6HRU5hhFj8FUw/Ny8ytfsPD1vYV41LXszE+GvhxfB/w70HwmjSEaZo1tagy43Hy4lTnAAzxW3RRXTTgqcFFdFYyk+aTYUUUVYgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArxv47ft7fsxfs3/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=", "info": {"equation": "74-19*3=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9585c46042bd29f07933b6bb00f1bce6751f8412c947ddc50c57e864e3737bf7"} +{"episode": 67262, "episode_seed": 1493340366, "split": "train", "timestamp": "2025-10-28T03:49:18.692153", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1493340366, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 5, 8])", "action": "('move', [0, 0, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11+10*6=71", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11+10*6=71", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "30bf2ff970714dde27ee50db0d98c3019b1926e74a4c1efd944d2fce52c15d02"} +{"episode": 67263, "episode_seed": 4074796243, "split": "train", "timestamp": "2025-10-28T03:49:18.760174", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4074796243, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 2, 7])", "action": "('move', [0, 0, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "14+59=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "14+59=73", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "25903212eb288ec2fb7031aa3f66f8f922327f85962452ad260509a1ea730133"} +{"episode": 67264, "episode_seed": 1670073173, "split": "train", "timestamp": "2025-10-28T03:49:18.804623", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1670073173, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 6])", "action": "('move', [2, 0, 4, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8*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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"info": {"equation": "8*1=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "8ad07acb2e153945b24f99b488620d446b7cf84c026ee4690799cf7e19d04941"} +{"episode": 67265, "episode_seed": 1165758118, "split": "train", "timestamp": "2025-10-28T03:49:18.882941", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1165758118, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 4])", "action": "('move', [6, 0, 8, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "54+92=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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+92=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "5c9a741400bae3a9b80ca044b106b2b7abf31107d1030c58125dc28692314ed1"} +{"episode": 67266, "episode_seed": 1456885388, "split": "train", "timestamp": "2025-10-28T03:49:18.957663", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1456885388, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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": "17-0*8=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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iBpuoW6zW9x4J1WKeJxw6NaShlPsQSKvH03WwVWmna8Wr9tCeHMzp5NxBhMfOmqkaNSE3F7SUZJ2+dj8yP+DVLWPiZL4D+Lmg30Vz/wAIbBq+mz6ZI0AEP9pvFKtyFfGS3kpaFlzwNh43c/rfXzp/wTv+EHwx+Bvh3xl8PfhD4JsvD+iw6/bzx6dYK2wSSWcJdyWJZiTjkk8ADoAK+i683hqDhkdBXvpf723+B9B4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfnF/wAEMvjXr+g/Dfxv4I8aftRan4M8NWGp2k/h/To/Fltp8bXMyy/amRZgWbiOAnHygnPVjn91PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehrnvgt8Avg1+zr8PrX4VfBL4d6b4d8P2UssltplhEdivI5d2JYlmJYnkknoOgArlzbIcVmOYxxFKu6aUbaXvv0s1o+uvQ9nJ/EHLst8MsVwxUwanVq1o1FUdrJLlvfd8y5eVdOWctre9xH7KHjrUfHVtLqVh46fxLo32FFg1j+0EukmkQhMiWP5GYhW3Y7jpmvZqRESNdkaBQOwGKWvXyzBTy/CKjOo5tNu731d+7/M/NMVXjiKznGPKuyOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpXxd+x38QHvPjH8ANE+FnjW81iLUfBOqTeLg5jnlk077FEXurwnLQy/2nHboTwTK0yEZVgv3zXx3+w18EfhL8Nv2mtc8eeBfAFhpeteLNN8Q3PiTUrdG82/lGsWxDOWJxy7HC4GT0rx86oSnm+BmpNWk9Plf8bWfkz6bI8xy/D5LjKNelzTs3B2Vm5RlD3m9Uoc3PC1/eVmteaP5P8A7dvjr9qV/wDgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWnw9QdHFYy8m/3nX0v9+v4H0viPxrg+LctyehQwyovC4dU5NW956LS32Fy3inqnKXqyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXo55iqeEyupKSvzLlS7uWiX9dD83wNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qfwH4T1uS9XwVb+CjdaBG0eLZ9Qe5lW8ZT/HIES0BzyoK9N3P7l18q/wDBSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55Bq+K6bqZHVadrWfrqtD7Twn4swnBfG1DM8TQ9rFKcbK3MuaLXNG+l+n+Fs+ZvgB4+8A/Hf9lvwF4a/aZ/ajbxJeatoemS674M13xvZm2u7pSjxQS2ibS4DrGfJPBZQGU8ivp//gl5p+neHfD3xP8ABngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V6v9pXwN4P8AiF+w4ngzxr4dttR0rVrHw/bajZToQk8T3tkGQ7SCAQexBq9+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa8nLMtr4DiKMaleVR+ybu+17W3enX1OPH8QYfG5Fioxg4e1q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfq8zxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uiiivqj4oK/nb/Y48dftS6n/wXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/AIKL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/AGHzXklq3GOnVfYdFFFfTn5YFfz9/wDBxB4u+Oj/APBT8WGozaolloui6S/w4jWA7QjRpI8kAA/eMb0TKWwSWjC9FUV/QJXxx/wUU+Cfwm+J/wAXdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK+Z4tourk7ala0ov11t+t/kfqHhHxjg+COLHmGJw/toypVIW0um0mmr6a8vK/7spb7P6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfSxXLFI/M6s1Vqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwrF+JGljXPh9rmiPpy3i3mk3EElq4OJleNlZOOeQSOK2qKdWHtaUoXtdNfeEJcklLseY/sx+E20TQ9Y8RSCZW1nUUk2yjAxFCkQK8ZwdvvzXp1FFc+X4NYDBU8OnflVr9zTEVniK8qlrXCiiiuwxCiiigDl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv9nn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hXxr+1X41i0j9s3WrH4r+LpNL8OWPwhhufDi30yQWhR7u5/tedGYgPKixaeHznYjIeA/P2VXCfHL9mL4AftL2+i2nx5+FGkeKY/DuqLqOipqsBcWtwBjcMEZBGMocq2BkHArgzvLqma5fLDwlyttPy0ez/AK3PZ4ezDAZfjpSxsW6couLcUnOOqaceZpXuuV6r3XI+EP2Yfjb4e8cfArwG3xU/bCu9W1a80qxlu/D2r+NbFVmuAytAj2yBWDhhEwjGCHABHUV94fs7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKsgq5fjHiKuIdR8vLqtldPdt9iM1zalmM5unRVKMpOVo7K99FotFe3ogrn/ip8K/h38bvh9qnwq+LPhGz17w7rVuIdU0m/QtFcIGDAHBBBDKrAgggqCCCK6Civo5RjOLjJXTPJo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/D34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sKKKKZAV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/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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iBpuoW6zW9x4J1WKeJxw6NaShlPsQSKvH03WwVWmna8Wr9tCeHMzp5NxBhMfOmqkaNSE3F7SUZJ2+dj8yP+DVLWPiZL4D+Lmg30Vz/wAIbBq+mz6ZI0AEP9pvFKtyFfGS3kpaFlzwNh43c/rfXzp/wTv+EHwx+Bvh3xl8PfhD4JsvD+iw6/bzx6dYK2wSSWcJdyWJZiTjkk8ADoAK+i683hqDhkdBXvpf723+B9B4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfnF/wAEMvjXr+g/Dfxv4I8aftRan4M8NWGp2k/h/To/Fltp8bXMyy/amRZgWbiOAnHygnPVjn91PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehrnvgt8Avg1+zr8PrX4VfBL4d6b4d8P2UssltplhEdivI5d2JYlmJYnkknoOgArlzbIcVmOYxxFKu6aUbaXvv0s1o+uvQ9nJ/EHLst8MsVwxUwanVq1o1FUdrJLlvfd8y5eVdOWctre9xH7KHjrUfHVtLqVh46fxLo32FFg1j+0EukmkQhMiWP5GYhW3Y7jpmvZqRESNdkaBQOwGKWvXyzBTy/CKjOo5tNu731d+7/M/NMVXjiKznGPKuyOX+N1/450r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpXxd+x38QHvPjH8ANE+FnjW81iLUfBOqTeLg5jnlk077FEXurwnLQy/2nHboTwTK0yEZVgv3zXx3+w18EfhL8Nv2mtc8eeBfAFhpeteLNN8Q3PiTUrdG82/lGsWxDOWJxy7HC4GT0rx86oSnm+BmpNWk9Plf8bWfkz6bI8xy/D5LjKNelzTs3B2Vm5RlD3m9Uoc3PC1/eVmteaP5P8A7dvjr9qV/wDgulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWnw9QdHFYy8m/3nX0v9+v4H0viPxrg+LctyehQwyovC4dU5NW956LS32Fy3inqnKXqyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXo55iqeEyupKSvzLlS7uWiX9dD83wNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P8AQ6c0XPWVeLvGa0+W6Fr8NP8Ag6R8R/Fif9qfwH4T1uS9XwVb+CjdaBG0eLZ9Qe5lW8ZT/HIES0BzyoK9N3P7l18q/wDBSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55Bq+K6bqZHVadrWfrqtD7Twn4swnBfG1DM8TQ9rFKcbK3MuaLXNG+l+n+Fs+ZvgB4+8A/Hf9lvwF4a/aZ/ajbxJeatoemS674M13xvZm2u7pSjxQS2ibS4DrGfJPBZQGU8ivp//gl5p+neHfD3xP8ABngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V6v9pXwN4P8AiF+w4ngzxr4dttR0rVrHw/bajZToQk8T3tkGQ7SCAQexBq9+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa8nLMtr4DiKMaleVR+ybu+17W3enX1OPH8QYfG5Fioxg4e1q3VNW9lC7UueOvx6ezXur3G/ed7Htdcj8ePCPwX8d/CDX/Cn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/AODm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAfq8zxUcHl9StKPMop6d/Xy7+R5vA+R1eJOLsFltKt7GVWpFKezjbW8dve093Ve9bVH3n8HPB3wf8H/Crw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uiiivqj4oK/nb/Y48dftS6n/wXi0jxHr6atL45vPitd2vi2K4tAZY7DfJFeIyHhIo7QOBjhERdvQV/RJXx54S+Cfwl03/AIKL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/AGHzXklq3GOnVfYdFFFfTn5YFfz9/wDBxB4u+Oj/APBT8WGozaolloui6S/w4jWA7QjRpI8kAA/eMb0TKWwSWjC9FUV/QJXxx/wUU+Cfwm+J/wAXdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK+Z4tourk7ala0ov11t+t/kfqHhHxjg+COLHmGJw/toypVIW0um0mmr6a8vK/7spb7P6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfSxXLFI/M6s1Vqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwrF+JGljXPh9rmiPpy3i3mk3EElq4OJleNlZOOeQSOK2qKdWHtaUoXtdNfeEJcklLseY/sx+E20TQ9Y8RSCZW1nUUk2yjAxFCkQK8ZwdvvzXp1FFc+X4NYDBU8OnflVr9zTEVniK8qlrXCiiiuwxCiiigDl/jdf+OdK+C/i/VPhhbPN4ltvC+oS+HYYoRI0l8ttIYFCtwxMgQYPB6V+b1n8b/C3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv9nn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hXxr+1X41i0j9s3WrH4r+LpNL8OWPwhhufDi30yQWhR7u5/tedGYgPKixaeHznYjIeA/P2VXCfHL9mL4AftL2+i2nx5+FGkeKY/DuqLqOipqsBcWtwBjcMEZBGMocq2BkHArgzvLqma5fLDwlyttPy0ez/AK3PZ4ezDAZfjpSxsW6couLcUnOOqaceZpXuuV6r3XI+EP2Yfjb4e8cfArwG3xU/bCu9W1a80qxlu/D2r+NbFVmuAytAj2yBWDhhEwjGCHABHUV94fs7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKsgq5fjHiKuIdR8vLqtldPdt9iM1zalmM5unRVKMpOVo7K99FotFe3ogrn/ip8K/h38bvh9qnwq+LPhGz17w7rVuIdU0m/QtFcIGDAHBBBDKrAgggqCCCK6Civo5RjOLjJXTPJo1quHqxq0pOMotNNOzTWqaa1TT1TWxg/Dr4X/D34S+BtK+Gnw28IWOj6DolklppWmWcIEdvCo4UZyT6kkkkkkkkk1uqqqAqqAB0AFLRRGMYpJKyQqtWpXqSqVJOUpNttu7berbb3b6sKKKKZAV4vpfw/N1+06dbOmSWwsNTm1RmhU7Jmeze1DMTnOVk7Y5T2Ir2iivPx2AWOnRk5W9nNT9bX0OihiHQU0lfmTX3hRRRXoHOFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/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==", "info": {"equation": "17-0*8=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "98c3e0d918047bd226c9a1beddbb7c38af6957bbafa3c77f24769948e8296d92"} +{"episode": 67267, "episode_seed": 243431347, "split": "train", "timestamp": "2025-10-28T03:49:19.018564", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 243431347, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 5, 4])", "action": "('move', [3, 1, 5, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "10*6=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10*6=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0417f26e01487caba35d19b13dee9461f6eb3ea7b24fbbd7d1253b89dc484e4e"} +{"episode": 67268, "episode_seed": 4008166993, "split": "train", "timestamp": "2025-10-28T03:49:19.086468", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4008166993, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 0, 4, 0])", "action": "('move', [0, 0, 4, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "1+5*7=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1+5*7=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "128973429c07076115c434df41c52dbfc666ed6986e6a0c514885a4716a9da49"} +{"episode": 67269, "episode_seed": 3270526415, "split": "train", "timestamp": "2025-10-28T03:49:19.138803", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3270526415, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [2, 8, 3, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "45/9=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "45/9=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "df639ae0f0a7805595920664a56dbe798b72c89c4acfd5ee00052f8192cd7295"} +{"episode": 67270, "episode_seed": 2471366860, "split": "train", "timestamp": "2025-10-28T03:49:19.223123", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2471366860, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 6])", "action": "('move', [8, 0, 0, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+12*9=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8+12*9=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "130376e8d5ad9145dff18291bdefe8b964ff0233311f17d8c5502df0ec5f92ad"} +{"episode": 67271, "episode_seed": 82095762, "split": "train", "timestamp": "2025-10-28T03:49:19.307454", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 82095762, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [8, 5, 2, 7])", "action": "('move', [8, 5, 2, 7])", "reward": 0.0, "image": 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", "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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", 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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": "75baf0f06a5f802cf079732638f0f97f5490a383adf3efb58d89cb304be70f53"} +{"episode": 67272, "episode_seed": 992113008, "split": "train", "timestamp": "2025-10-28T03:49:19.371194", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 992113008, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 8, 0, 1])", "action": "('move', [2, 8, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "85/17=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": "85/17=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4312a13d1e24ece756cb2c43f95c6f6e1ac7d81035104420aa2f91dc567b2bca"} +{"episode": 67273, "episode_seed": 167622678, "split": "train", "timestamp": "2025-10-28T03:49:19.432941", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 167622678, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5])", "action": "('move', [6, 1, 1, 5])", "reward": 0.0, "image": 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", "info": {"equation": "19-3=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19-3=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "560ed0332818b744e3591a8ea72b1817d3283ca0b38412c9cb9438c9118737b6"} +{"episode": 67274, "episode_seed": 2324842060, "split": "train", "timestamp": "2025-10-28T03:49:19.516285", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2324842060, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5, 4])", "action": "('move', [3, 4, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "2+15*8=122", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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Cu3xV/aG8Kf8ABbeTxEvi/VtEvNA1HRLfwLqKSrB9k06SGLc0Lt8gjaWa63MflJaQNwCK/SXwVqfgP4y+I5fB+h/tEz+OtQu7V7ZI5PFltqM9lbSOgkeNYh8ikiPcxBHyL+PW/tNfBz4W+K/24fCPxa8S+BrC+8SeHY/DUGh6xcIzS2UcurXIkCc7eQzckEjJxivqyO3t4m3RQIp9VUCviKeQ1swx+K/2iUYqprHdPaWuqWl7LR7H6Pxjx5gs8ybJ8NRwihLC4dU3LT3mtLqyvbTm1s+acvVvooor9APyY/nD/Yd+J/7RNz/wVnuI/H3iPVrfWfE/jW+h+I9ldMI2umimeUwzRngeXcxRFVXldgAwuRX7QfsReM77WNRl8N6N41fVbbTtY1eLVbMX6zDTmN3Mywsq/wCqIyuFb5sN6Gtz4+fs5/A74c/8JD8cPA/wy0rTPFvjPxHoi+J9dtYSJ78RXkQTec4HQE7QNxALZIzXe/ssIi/A7SSqAE3V+SQOv+mz1+e4DIcRhs9VOVd+6ufS+q537r167vzb9T9b8R+PMBxtiaeOw2EVGMaUKXLp8UY3ctOivyx68sY3tsvQ6KKK/Qj8kMD4rXni7T/hd4lv/AEDS69BoF5JokSRB2e7WBzCAp4YmQKMHg1+KH/Bs74o+M2p/t4/ENtSm1G5sNV8H3N141ubuEsW1AXsZheZ2G5ZS8lzx1OXyODj9zq+TP2Dvg98L/hp8c/GHifwD4IsdK1HxXa3l/4jvLZW8zULn+05f3khYnn52wBgDccDmvm82ouec4KXM170tP8At2/6W9D9L4S4wwmR8FZ3lNTDqpPFxpqMtPd5ZO9766X5o22kl6r6zr88/wDg5e1/4oaN/wAE97Sx8CyXiaPqXjmxtvGLWqZU2XlzSRrKf4UN0lv7Ftg74P6GVyXx28JfBnxz8Idf8K/tDWWjT+CruwI8RR+ILhYbMW6kNulkZlCBWVW3ZG0gEEEV62ZYaWMwFShGXK5Jq/8An5d/I+c4Kzulw3xbgszqUfaxo1IycOrs/s/3lvH+8kfkd/wS0+Inhjxd+wLZ/DP49/tP3Gm6O19qGmReD7rxtbWFvPpLMN0LxZWUxSO86tlgWViM4xX3v/wTZ07SvC/iX4teAvhvYxWvgXSfE1j/AGNYafboljY6nLZrJqNvbbOFUMYJHjHCSzSDAJIHp3xJ8CfCPTP2Ktf8DfDbQdIHg1PhtdWei2ullXtH042LLGsbKSHjaMjDAncDnJzmsH/gn58Lvh58GvhXr/w7+FnhGz0PQ7DxfL9k02xUiOMvZWbsfmJJJZiSSSea+Uy3KK+W55QjUrufuS9ElZWWr01v02R9JxJxZhs8jmmIhSdJYitzKnpyxvPnc3r/ABLRUNI6qUveWz93plzFbzW8kN2itE6FZFfoVI5B9sU+uP8Ajb4wh8LeC5rVZStzqKtBAQB8oI+dj7BSfxIr6/G4qlgsJOvU+GKb/wCB89j84oUp1q0YR3bPnfwHrfg/Vv2zfC3gC+Ektppdte6lp8skMZjbUGjlS0jfL7lf7NHfygBT9wHIwM/XFfG1p8KfENj8INF+POlQGHxD4g8Qx+JbQXMijyvKdDYQEmL92r2MaxPlSVM0nPOa+wtMv4dV0231O3BCXEKyoCQcBgCOnHevneE28Ph54SpHlnFqVvKaTX3bfI9LNl7SpGtF3i9Pmnb/AIJPX8+f/BS/4l/HnQv+C6dz4h1bxXqWi6ho3izR7TwtqLOkH2HSWjiCtC8nyLGVmnYueNzyE85x/QZXyb8ePg38LfEH7fHh74y654FsLrxToreH7PSNbnRjNawSXN1vROdoB3vzjPzHB5rbinDyxGDpRjNx/eQ1Xm7X+V7n23hfxhg+DczxlfEYZVlVw9Wmk7aOVmr3+y7csutn12fz1+0hafs4/Er4deKfiFqnxmt/H3ivw34Zmk8J6pfeJrbVr7RrpZFktGso0OI5XvFtQCF3SuI4yWB2H9J/CU2t3PhTTLjxND5epSafC2oRhQNs5jUyDA4GGz0r5b/4KBfBf4UfEX4seD/FfjnwFp+p6j4U0e4vvDl3dRktYXJvbT96gBALfIp+YHBUEc19aVjw7gqmCx+LpzqObThq+vu3vu+9t+h87nWaUsZkeDoR5rxdR67Ru0lGGr093mekfedktOaRXmXwo+Fn7J3hb4y+P/F/wd0LwlH451m7tn+I0uj3UUt95xV2h+1RqxMLMC7AELvOWO4816PqDXKWE72S5mELGEY6tg4/Wv50v+CZnxs+Nmjf8FGfEuo/FX42614OvfEbau3xJ1CbWItPkkukaSTZM0w2q4utoCgZGSowpYV2Z5nNHKKlF1KfMpN6rdWXTz1+659DwPwViuKOHs5xtHF+xWFpRk4Xdqt5OXLKz2XJpo/f5D+jGOKKIbYo1UeijFOr56/ZF+I8njfV1t/DPxgl8aaZaxTR3mpPrcV/sfO9VeSH5Q4LDAODtPfivoWu7KszpZthnXpxcVdrXyPzzF4WWEq8kmm7X0CuS+Puo+O9I+BPjXVvhbBLL4ntfCWpTeHIoIRJI9+trI1uFQ8MxlCYU8E8V1tFehOPNBq9rkYeqqGIhUcVLladns7O9n5PZn4gf8GvXiT4s337XPxPt55r640LUPBwu/FFzPHvDamL1PszSSNyJGWS9OP4sOT92v2/r5N/4J2fB/4X/Cr4g+LNT+HXgiy0i48TaVb6lr89qrbr67a7usyuWJ55OAMKMnAGTX1lXz/C1N0smgm76y/9Ka/S59/4qcVYXjPjOtmeHoeyjKNNW0u+WCTbtpfov7qR+b//AAc6a/8AE/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/4JafGy2139iPwtoPxq/azvLP7NNcafZ+FtQ8a2lvCdNik8uCBoH/eeWVBUAkEqABxiv0d/bu+H/gz4qfs533w8+Ifh2DVtE1XXNJh1HTbnd5c8f9oQNtbaQeqg8EdK0P2N/Cfhjwl+zh4c8LeGdBtbHTtMN5a2FnbwgJBDHeToiKPQKAPwrysyyqvmHEMoQryp3pp6X2va2606noQ43wMPC2hw+8InUhiZVOfTVOOnS/NrZ9OWMflqfs4+GH8OeAprqUSh9W1SW+ZZRjG5UQYGBwRGDz6+mK76iivrcFhlg8HToJ35ElfvZH5fXqutWlUatd3PxE/4OifGPxf0v9qb4Y6amo6jaeGNO8JNqHhyWHMcS6r9scXMiOOsqoln7qCpGNxz9Z/s/fFrS/iN4P8ABL+Of2o7jxZ4tutCs7m58P3/AIws7pl1J7MeeUtoQG8xd8wwM7QW4449d/4KafBz4XfF6LwsPid4GsdbGhaRrmpaQt8rEW13GtpslABAJGejZB7g19R2Fvbi1hlECBvLU7ggz0r4yvkdbM84xcI4iUF7l1unzR2eq0Vj9TzvjrA47gbJsqhhEp4VVU56a80k1y6XV9533lqZnw18OL4P+Heg+E0aQjTNGtrUGXG4+XEqc4AGeK26KK+6pwVOCiuisflEnzSbPzk/bQ+Leu+Dde+PGr678T7zQfE+meL9Bt/B8klzDDLa2phsHsDbCX5TG9w18TIQfmW4yf3R2+v/AAM+MNlrnjdPD/w//acufG13JcxSnT5fF1tqLRxq+0tshwVQh8MTx06ECvobxR+zh8C/Gvxl0D9oXxX8L9Kv/GvhezltNA8R3EGbiyhkDhkU5xjEkmMg7d7Yxk12cdvbxNuigRT6qoFfIS4YxksZUrLFSjGU+ayvqr311WvTZ6Jeh9fmXEGV4jB4enQw/vxjabaive5YQtG17x9znu7O85K2nNJ9FFFfZHx5xX7QGljVfhncxnTluRBdW9wQQSYzHKrhxjupAPp1q38E/C58HfC/SdCbzQyxyTuJh8ytNK8xB4GMFyMdeOa6qiuFYFLMnjObVwUbejbubuu3hlRt1vf5WCiiiu4wCvIP2f8AwGdH+Iev+Ijpz2YgjeyW3UERgvcNM2M8k5wevRh6ivX6K4cTgVicXRruVvZuTt3urfgb067p0Zwt8VvlZ3Cvzz/4OXfEHxR0X/gnvaWPgWW8TR9S8c2Nt4xa1TKmy8uZ41lPVUN0lv7Ftg74P6GVgfFL4W/D342fD/VPhX8VvCVprvh7WrfyNU0m+QtFcR7gwBwQQQyqwIIIIBBBFPMcLLG4GpQjKzkmr/107+R7/Bme0OGOK8Hmtal7SFGpGbjpqk+l9OZbxv8AaSPyQ/4JPfGyHVP2I9I8NfGf9rO90y3tNQvNO07wxfeNbS1gbSlKhYWhf94YmLTJgkZXgYAFfqX+zV4bOheB7zUm8zOs6u99iTpjyYYQV4+6RCD36k9MV1Xgb4eeB/hp4N0r4e+AvC1lpWi6JYRWWlabaQhY7a3jUKiKPQADryep5rZ6dK8XKOHq2XYmNerXdS0eVJrRXttdvTTsjfi7iXD8SZ1i8ZQoKlGtVlUSVtE22r2SV9dX3uFc58Qvhxp3xCiso769eD7Hcb8ogO9DjcnPTOBzXR0V9BicNQxdF0q0bxe6/E+Vp1Z0ZqcHZowvH/gaz8eeHf7Anu2ttsqyRTIgbYVyOh68Ej8a1tK0630jTLfSrQHyraBYo89dqgAfyqeiiOGoQxDrqPvtJN+S2/Mbq1HTUG9FqFfm5+1n8Xdc8I6t8ZNV8RfFW88P+LLL4s6LZaBI91BbzWdmx0/7CLcSfKIXiN1IZCOv2ls5jbb+kdcRrv7N3wJ8TfG7Sf2kdf8AhdpN3460LTH0/SPE00Gbm1tn8wNGpzjGJZRkgkCRgCMmvMzzK62bYeFOnU5HGSlf0v8Ait15n0PDObZdlOIqTxlL2kXHRJJ3lGSkou/2JW5ZtapO6Ttyv5g+HN74E+MvixvC/h/9oGfx1fziOJmfxVbajPZW3mqWKiIfIhIUszAjKjmvtamR28ER3RQIp9VUCn0ZPlE8rVRzqupKbTbe+it3Z4+MxaxXKow5VHp/VgriPAf7N3wJ+GHxF8VfFvwB8LdJ0rxJ42njm8Vaxa2+JtRkj3bWckkA5ZidoG4nJyea7eivYlCEmm1drby9DGlicTQpzp05uMZq0km0pJNNKSW6TSdn1Se6GxxRRDbFGqj0UYp1FFUYBQenFFFAHkH7N/gQaB4r1/XBp0lmqQx6elsFIjQJLLIQueTjzPXpivX6KK4ctwKy7Bxw6lzWvr6tv9TfE13iazqWte34Kx84/wDBQDxBrWj658JLC41a4svDd/48kj1qSMqsM10un3LWEEzn7qNchSo/ilSJeSQD81/s7/tHeGmbXb+7/bQubO1s/iJq8egaQ/jSwt7d7JLttirDjLRGTzQpzl1wQSCDX398XPhB8M/j18O9S+E3xh8GWXiDw5q8aJqWk36ExThHWRc4IIKuisCCCCoIq94P8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sAWO2t4kCRxoOwVVAH0rw8y4exeOzKWJp4h004paXvp03WnX1PpqWeZZTyCGFdDmrRdrtR5eW8pc19+duXK9LKMVq72jm/By913UPh9ZXPiCSR5iXEckxJd49x2k55PHfuMGuooor6LCUHhsLCi5czikrvd2W58tVmqtWU0rXd7Hxb+3N45tvD/7Rnia2+JvjKfSfD1l8EXutAM8iRwZa5uhqc0RbiSZFj00Ec7Q8fH7znlv2YP2gLzxD4N8Iyat+15qHiDxbq3hmzOo6Dc+MrO4ka9a3jkmC28IDB1cP8q9AGGMV9jfGH9nH4GftAXXh69+M/wAMdK8Ry+FNZTVfDr6lCXNldoQRIuCM9Fypyp2jIOBXZLa2yNvS3QEdCEGa+XxfDOMxWOrV44pwU7aK/a1nqtunkfWV8/yt5VQo08PerFLmbUUlyqy5Grv3vine3vbX3IdGe9l0e0l1Jdtw1tGZ19H2jd+uas0UV9dGPLFK97HyDd3cKKKKoQUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV438dv29v2Yv2b/jv4D/Zw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/AIKq/BP43+Mf2/vDumeBPg94o16x+KfhzwFoml+JdH0l57Dw/caD45TW7+S+mX5bRPsTGSNnwJHiKLlsCgD9MaKKKACvLvAH7YnwN+Jn7Tvjb9kPwhrOoT+NPh9pVlqHia2l0ieK2ihus+V5c7qEmPHzBCdp4JyCB6jXxd4H+K0d3/wXS8b+HF+FnxBitJPgbo+gReKbnwJfx6HLf219f6hLGmomP7O4EF5AAQ2DJvjHzIRQB9o0UUUAMnnitYHubiQLHGhZ2PQADJNeQ/sjft2fs7ftu2fie4+A+vatNP4P1aOw1/Tte8PXWmXdu0sQmt5vJuo0cwzRMJIpANrryK9euJlt7d7h0ZhGhYqi5JAGcADqfaviH/gjd8TtQ/aH8TfHT9qT4i/C3x/4Q8dePfHFtNqug+NfAl9o0Wl6NaRS2ej2VvJdRIt6620Dzzyx5Cy3hXgBcgH3DRRRQBzPxk+LXhH4E/C/Wvi747GoNpOg2RubuLSNLmvruUZCrHDbwK0k0jMyqqIpZmYACsf9mP8AaW+Ev7XvwT0f9oD4I6xdXvh3WzcJbNf6fLaXEM0E8lvPBNBKqvFLHNFJGyMAQyGo/wBq/wAV6H4L/Zv8Z694o8M+NdX0saFNb6nZfDi3nl137NPiCWWyW2ZZvOjSRpVMJ81fLymWAB8V/wCCKXgbx98OP+CdHg3wp4+8Ha9oJj1fXp9A07xZZfZ9YGjzaxeTafJqCEBhePavDJKXG8u5L/MWoA+rKKKKAPOP2tf2r/gn+xH8ANe/aY/aG8SS6V4T8OLAdRure0e4lLTTxwRJHEgLSO0kiKFAzznoK9CsruDULOG/tiTHPEskZIwSrDI/Q1+f/wDwcY/Bj9qT42fsYDRf2fPgT/wsTStLtNav/FGgW2sC2u0k/sqe3srqCERSvfPDJcSTLaooaSSOLDKV5+5vhVdeKL74X+G73xv4aTRdam0GzfV9HivRcrY3RhQywCYKolCPuXeFXdtzgZxQBv0UUUAeO/Ez9uD4O/Cz9qHwx+yHrHh/xnqPi/xVpsGoWreHvBl7f2FhazXEtvHNe3UKNHZxmSGQbpSo+XrXsVfAP/BQ7wl4x/4eW/Anxx+z54U+NMPxHl1zw/Yarrnh2CceDLjwfHqF5Lq9vqkifuTKkMsjIk3zb5IDFk78ff1ABRRRQB5N4L/bX+APxC/aj8S/sgeENc1O98YeEbFZ9eeLQbn+zbeQpDI1p9u2fZ2uliuIJGgD71SVWI649Zr8xf2Gfgx+1L8H/wDgtb8XYpbH4nW/hHX/ABJ4t8QeK5dVM/8AwiF5YXq6NJoUlhu/ctfiQajHMU/eBIdr/KI6/TqgAqvq+pw6LpN1rFzDPJHaW7zSR20LSSMqqWIRFBLsccKOSeBViigDxH9jf9vz4Gftxy+LrL4Q6L400u+8D39rZ+JNK8ceC7zRLu1luITPCDDdojndHh+nRlPRhn26vmH/AIJdeDPF3/CD/FL9of4ieFtT0jW/i58a/EPiAWOtWMltdw6XbzrpWmJJHKA6A2OnW8iggcS5HBFfT1ABXE/tG/tC/C79lT4La78fvjNq9xZeHPD0Ecl9LZ2Ml1O7SSpDFFFDEGeWWSWSONEUEszqB1rtq+ZP+CxfhLxp45/4Jz/ELwv4H8F6z4gmuG0ltT0vw3ZNcao2lpq1nJqEljGoLG8jtFuJISnziWNCnzBaAPYf2bP2jPhZ+1l8FtF+PnwY1a6vPD2urOLVr/T5bS4hlhnkt54JoJVV4ZY5opI3RgCrIRXdV8v/APBG7wl4v8Ef8E8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/wBky6zey6fNqCOA4vJbR4JZjJ+8aSRmf5i1fUFABXjv7Yn7eP7NP7CHhzQfFH7SPjK60q28R6s1hpi2Gkz3sh2RNNPcOkCM0dvBErSSzMAkaDLEZFexV+eP/BxD8BPHnxi/Z/8ADN98F0+IJ8eMmv8Ahbw5D4H8CjXYb+PXNLksbixvsuv9nwTLsH285WDYSRlloA/Qu3uILu3S7tZkkilQPHJGwKupGQQR1BFPrA+FXha+8DfC/wAN+CdUuVmudH0CzsbiZTkSSRQJGzAn1Kk1v0Af/9k=", 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", "info": {"equation": "2+15*8=122", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "af5e12f13ef949587d97e98a3b1dac61cddc5913b62c37579fd58fc98c154b09"} +{"episode": 67275, "episode_seed": 2099873212, "split": "train", "timestamp": "2025-10-28T03:49:19.580660", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2099873212, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 8])", "action": "('move', [4, 0, 3, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "6+5*1=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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r8naz8mfzYf8ABF74n+J/Af7WNxp8PxmvPBfh/VvD9z/wkupW2swWIlESlrdWmmBGfOZcAcnJ7Zr9GfjloP7JPj7wL4w+L3jL4t2Xi/xFo3hvda+MrnxRb6jq2hNCXksjZPGf9GkF1ho1jAMsrBTvztr7W/ZW+DX7Enwv/wCEq/4Y/wDDvgi1+3a1/wAVd/wiN7Dcbb1N2Iptjv5TJufEXyhdzYUZNeA/8FEv2f8A4KfEv43ah8QPH3w00zVtZ8LfDa0n8PX93Gxaxk+06m+5QCFJ3IjDcDgqCK/Msw4exWXZTzyxLkk17qvy6u11r89tz9v4p8R8DxT4if2pTw9TCxUIp8tlVlyq/vape87RveVoKL5ZW5T6v/Z91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9QhHkgo3vY/CMRVVfETqqKjzNuy2V3ey8lsgr5q/bM8W6N8NZ9S8W6VaG6v0solj05Ag+1X8riK2hXLKC0kjxqckfezmvoXxV4l07wjoU+v6ox8qBR8q/edicBR7kmvl7w/4B1L9pb493k2spJ/Zvg20OqySFgqT65cq6WaEGM7lgg86RsMMNPAcEjj5Lip/XVTy+lFSqSfN6KKevz2XzPSylexcsRN2itPVv/I9b/Yj0/wAJ2X7L/hS48JzNN9us3u9YupoEjmn1SSV2vmmVGYLL9p85WXc20rtyQor1avn/APZHi1rwN8QfFfgeUL/Yus3P9r2EO9FazvzhLyLYEB2yFY5gcsd5nztyufoCvayXGUsdllOpTVrKzXZrRr+uhxY2jOhiZRlr1v3TCiiivVOQ+Tf+C33if4xeEv8Agmj8RtV+Ckt/FqDWtvBq0+mx7pYtLknRLxsjlV8kuGYcqhY8AEj8/P8Ag1f1r4rR/Hn4meHdNgum8Dy+E4LjWJBbAwpqi3KLaAydVcwveYUfeCkn7or9gf2kIIbn9nfx7bXEYeOTwXqiujDhgbSUEGvC/wDgnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK+TzDDyfFWEnzPWMtP8Kb/ABvqfr3D/HeByvwpzPh2eEUqlepGSqaWSfL8XW8OW8LdZPa2v1RRRRX1h+Qnj+qfBv8AYkvP2vbL4p6v4e8EN8ak0fNjPNfQjWTZiN4vNW3L7mUR+Ynm7CQoK7sDA9cW1tUYMltGCOhCCv5i/wBpH4x/tU6D/wAFQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/AGx7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nYKKKK1IP51f+DgnxZ8atU/4KaeJNL+IdxqKado9hp8fgSGaMpGmntAjl4AOGDXJuMvySylT90AfvV+yhq/xQ8Qfsw/DzXfjbbXEPjG88FaZN4piu7cQyrqDWsZnDoOEbzC2VHQ5FfM/wDwUm+Avwa+LvxXn8V/E74c6drmoeFvhpJdeH7m/RmNlN51029VDBWO6NDhgR8o4619p2JLWULMckxLkn6V8lkmHdLPcdeTesf/ACa7/DZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LRRRX1p+QlfV3vo9JupNMTdcrbubdcZy+07Rz74r+aX9h7x/8AtW6h/wAFdPBXjK9fWbj4l3/xREfi1bm03XQWSZotUSWNhhFS2NyGGAI1Q427Rj+mKviHwF8Bvg3o/wC3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5OfkuJ8PKriMHJSa/eJaedtfVW09T9e8L+PMDwdlucYbEYRVniaDjFu2jSkuWV/sS5ryS1vFadV9vUUUV9afkJ8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/tM3+gan8e/g7oviq48L3jXWgy6rblzaSMULYwRuVjGhKNlW2DIOK782doTk2sZP+4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30Pt8ZxHlFXKqNKlhv3tqam2opR9nDkXI1dv2nx1LqPvJfFueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz4/E13ia8qjVrhWb4x08at4S1TSzYpci506eI20mdsoaNhsOOcHOOPWtKiuyceeDje1zGL5ZJnjf7LvgX+yNa1nxe1vPD5unWmmRwyJtQLA878AjOQZSp57Adc17JRRXDleAjlmAhhlLm5b67btv9TfFV3iq8qrVr/8MFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa669N1qMqadrpq63V1v8jbK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+tvghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgfTPwL/AGTP2bf2Zv7b/wCFCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCviKHB2KVCNOrinyp35Uny736v9Nz9M8SvEbL+NuKZ5phMJ7KLhGKvbmdl8UrJ668q1fuxj6J9FFFfeH5KZXjXwnZ+NvDk/h69maIS4ZJlGTG4OQcHr9PQ03wP4QsvA/hyHw/ZTNKIyWkmZcGRyck4HT0A9AOvWteiub6phvrX1nl9+3Lfyvexp7ap7L2V/dve3mcn4f+Emj+H/HV143gvpHacu0NsyALEzn5znv7emT17dZRRRhsJhsHBwox5U22/V7hVrVK0k5u7SsFFFFdJmY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/X/GcsU8Z1C3srFUkXC7bZrlsjjOc3DA84+UDgg167RXm18uVbM6WMcv4akrd+bT+vkdMMS4YWdG3xNa+gUUUV6RzHnd/wDsmfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcwUUUUAeGftSfDv/AITfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/O4UUUV6RzBXhOifDUXn7RqX40qWzXTPENzrDeQpCSPJBPFvYtnh/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==", 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", "info": {"equation": "6+5*1=11", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e8ff6dca676170662d5c59a195cd19131197c5d2af192b40376f13034bd4c50b"} +{"episode": 67276, "episode_seed": 3327062273, "split": "train", "timestamp": "2025-10-28T03:49:19.643804", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3327062273, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 4, 1])", "action": "('move', [2, 7, 4, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "42-18=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": "42-18=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "138bf0cd316208f339879f08d5a1d2185855976d150c2727774b456d6e2a02b2"} +{"episode": 67277, "episode_seed": 3655568289, "split": "train", "timestamp": "2025-10-28T03:49:19.712059", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3655568289, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 7])", "action": "('move', [5, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7+13*5=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "7+13*5=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "363c81b49b027fad161b756aa525bca45e511c27fba9904360865d5f837c4132"} +{"episode": 67278, "episode_seed": 3456383254, "split": "train", "timestamp": "2025-10-28T03:49:19.753144", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3456383254, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 4, 1, 8])", "action": "('move', [2, 4, 1, 8])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "1*9=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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TV1ur9UdeAxMcFjqWIlBTUJRlyy1jKzT5ZLqnaz8j+QTxfr/ivxT4r1LxL451a+vtbvr6WfVr3U5We5muGYmR5Wf5i5bOc85r9of+Cf37S/i3xd+yZ4V139oX9uHVtJ8SyRTI9hJ460+zaK0SVltgYduU/chPvfMep5r6/wDGv7L/APwSe1j9qj/hKvHng74UN8W7nWLe7axvtYt01Ge+Ko8TtZGUb5WGxxmMlyQxyTk/S5s7QnJtYyfdBXwWC4RxlKc3DF8uv2b3f+LVa+Wp/Qvix4xZXxtk2CwlLK3ScbT5qijde7blpNLWm929L8sfdVj87oPhp+x18afiJdeNPF3ivw78VPFJ0owteeKvEVtrk9rYqVykULMY4IgxBLLGDucktlznpv8AgkER4d+Lnxf+G/wJeWf4FaXd2UvhCa2iSTTYNZlVjqNvZXIJM8S4hY/M4DO3Ocirn7cv7MX7P/7Q/wC2Z9n+Nnwr0zxEmk/C/TW01b0yL5Bk1LUQ5HluuchF656cV61/wTV8IeFvh/8ACPxb4I8EeH7TStH0r4kanbadptjCI4beJY7fCqo/Ek9SSSSSSa5skwNTD8WTpSqOTgm2/wCa6W+r7/gfnmL4hof6myw7lUqSqqMVCdvZ0lGXMpU/ek3Ky5V7tPljOa1TPomiiiv0o/MgrJ8d+HPBXi/wXqvhj4j6Tp9/oF9YSxazZ6tGj20tsVPmCUP8uzbnOeB1rWr8x/8Ag5v+IP7UPhD9nbwhoHwmuNXtfh7rl5fW/wASb3S4fkLf6N9it7iVfmSGQtcArwjsqq2flU8GZ4yOX4CpiJR5lFbLr0+7v5H1XBHDlbi3ivCZTSrqjKrKynL7Nk5ad5aWgrq8mldXufWv7GPwC/4JrfDPXNd1/wDYb0L4cNqUtpDb6/e+Dtbh1GeKBmZo43dZZGiR2RjtyocxAnOwY9/+xWf/AD6Rf9+xX8oH7Jfxh+OfwT+OejeJ/wBnr4han4b167nWwa9028SHzLeVlWSOUyfuzGeGPmfKpVW4Kgj90J/jj8OvNcQ/8FBdTKbjtP8Aws3T+nb+GvkMDxngaeHUZUHHyglb9D9K8X/DHMeEc9pOrmDxXto3UqjftVy2VpXctP5HfWzVvdu/vFIo4htjjVR6KMU6vmb4TfFrxN47udO1T4dfEhvFMSMlqLu11NLuGfYVDCV4iUznG9uCN3bNfTNfSZNnVLOYTlTg4qLtr1v/AFquh+MYzBTwTipSTv2CiiivaOIK/nH/AOC8/j/9p3xN+374n8KfHy41iLQtFu5F+HWn3kJitF0lyNs9uo+R/MK/PLyzMm1iNgVf6OK8d/bL+D37EHxX8F6Uf25NF8Ey6JYamf7GvfGmpRWSQ3TxtmOKd5IyC6IxMYbDCMEg7AR4XEOWTzXAeyjU5LO+uz9fz9T9V8H+OcLwFxX9er4R4hTi4e6k6kW9eanfq7crV1eLevR/iL/wQ/8Ajh8R/B/xD8SfDnUf2hNQ8E/D59Ll1G7WDXrXT45dWLwRRHzJhuZjEkgKrxhQT2r9B/iXrX7Mvxo8NHwR8bf2u18XeHnuEmu/D2u/E+2NldsmdgmSFozKqsQ4Vjt3qrYyox9ufs8fDr9nr4d/CDR/DP7M2heHLXwUkTS6MPDMkc1nKrMS0iSoWEpLZy+4knqa8/8A+Ckfg/wt4x/ZC1zwj4o0G2vdM1TxF4btNQs5k+WeCTXtPR0OMHBViOCDzwa+bq8L4zD5bJvGS5Yxb5Vfl2vZe9s/T5G3GPH2F4o47nmuHwv1W84pONlUXK7c7ty/vOr95apLm05j4x+IPgX4f/BP9rb4Ra1+xj4P0rRfipqHi+0sda0XwbpNsPtXhaR1/tGS9t0G2GFIhvWYqhLrwxKgV+o9fB37K37L/wCz3+zn+1/4El+B3wk0jw1Jqml68uoz2EbmSdUgtiqs8jM20Ek7QQM84zX3jXocE0nHKpT5m7yenRW7evU+d44zfD5jiKFCk5TVKNvaVElUnd3s0pStGG0I88rK7vryxKKKK+xPhgooooAZdNcLbSNaIrSiMmJWPBbHAPtmvkW/+Alv4u8Nz/Aix8P3OlWV1H9la1sYyDZxNIGJUuGwoJ4ZsjketfXtGB1xXhZzkcc4nScqjjyO9kr3vb7npvr6Hfgsc8HGSUb8wUUUV7pwBRRRQByHxK+EWm/EO4h1H+0ns7uGPyxKsQdXTOQGGR0ycYI+8eta/gjwZpfgTQl0PS3eQeY0ks0mN0jHuccdAB9AK2KK4aeW4GljJYqMEqkt3/WnzN5YmvKiqTl7q6GP448F6Z480JtD1OR4x5qyRTRY3RuO4zx0JH0JrI+Gvwj0z4eTzah/aL3l3NH5ZmaIIqJnJCjJ64XOSfujpXX0UTy3A1cZHFygnUjon/Wnz3COJrxoukpe6+gUUUV3GAV5V+3Hr/xy8K/si/EHxF+zVY3Vx47s/Dc8nhqGytFuJjcDHMcbAh3C7iBg5IGATxXqtFZ1YOrSlBO101dbq/VHXgMTHBY6liJQU1CUZcstYys0+WS6p2s/I/kJ8R+LPG+s+N7zxr4q8Q6nceIp9Se7vtUvbmQ3jXe/c0rux3+Zv5JJyDX7P/sEftQ+N/Hn7K3hnxV+0l+3VrVh4ruhcG4trrx7YWsgtxMy25aMruUmIITu+Y9Tya+6vEn/AATf/YW8YfGd/wBoTxN+zD4WvPGEupR6hNrM1m2ZbpMbZnjDeW75UMSVJZvmOSSa9pNnaE5NrGT7oK+EwnB2PoSm1i3C7+zfX11Wv3+p+/8Ain41ZJx7lGEweGy7klTfM5T5W4vltyU2k/ce7b5b8sfdVj4g+H/ir4W+KvF11qPh/wCOUHjbxFPp8cM1zceKbfUbxLOJ2KxgREbYlkmY/d+9LyeQK+mv2Xvhifhn4G1LzftSza/4jutYniuwA0TzbF2gYBC4jGAcnnrXoyW1vEd0cCKfVVAp9exlHDkssx0sVUrupJq2q9N3d32PwnF5ksTQVKMFFJ/10QUUUV9OeWFZ3i/wh4W8f+F9Q8E+N/D1nq2j6raPbalpuoQLLDcwuMMjowIYEHpWjRSaTVmVCc6c1ODs1qmt0+6PJf2eP2Ef2Qf2UNZ1HxH+zz8AtB8L6hq1qttf39lC7zSQq24RB5WZlQtglVIDFVJztXHq32Kz/wCfSL/v2KkoqKVKlQhyU4qK7JWX4HTjswx+Z4h4jGVZVajteU5OUnbRXbbei0Q1Io4htjjVR6KMU6iitDkCiiigAr+cf/gvP8QP2nvE37fnijwn8fLnWItC0W8kX4d6deQmK0XSnI2T26j5H8wr88vLMybWI2BV/o4rzv8AaJ/ZL/Zu/az0TT/Dv7Rvwf0fxZa6TdNcaYupxNvtZGXaxSRCrqGGNyg7W2qSCVUjw8/yqrm+C9jTnytO/k/J/n6n6j4ScfYDw74neY4zC+2hKDhdW54Xs+aF9Lu3K1dXi3r0f4X/APBEn9ob4ueHfG2tfCfXv2l9Y8H/AA2tdInvltV8S29jAmqPLCqeW04JBZBMSqcEjLc4J/RfUfir8FPEMUVh4z/bRHiCwju4LltK1r4i2MttLLDKs0LOi7S2yVI5Bz95FzkcH7T+EPwP+EfwD8AWXwt+Dfw90zw74f07d9k0vTrcLGhZizMc5LMSSSzEk9zXTfY7P/n1j/79ivCp8JY6OHVN42SVrWSdvNfEtPkZ8fce5fxfxVXzXD4KNKM7WWnM7ac0mlbne7te2iu7Xfz58Efhi/iP4w6L8TZxdIvhqyv44GVQIpWukjRgxI5IEYIAIxnmvoejAHQUV9Jk2VxyjBLDqXNq3e1t/LX8z88xmKeMr+0asFFFFeqcoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGZ4z8ZeFPh34S1Px7468QWmk6Lo1jLearqd9MI4bW3jUs8jseAoUEk18ufs3f8Fvf+CeH7U/xh0T4IfDP4oaza6x4sS4bwRc+JvCN/pdl4oEDESf2dc3MSR3WMHhDk4wMkgV2n/BVn9nv4kftW/8ABOX4xfs8fCAI/ibxV4Iu7PRYJJhGtxPgOsJY8KH27Mnj5ua/KP4c/DH9pX9s7X/+Cen7Mngv9jv4peBdW/Zf1CK6+Lnijxp4Nn0rTtJW0FkjJaXUoCXhlNo7KIiclos9SVAP3eooooAKKKKACiiigDyP9sr9uD9n39g74ZwfFX9obW9VttOvL02lhbaH4futSurqZYnmZUhto3bCxxyOzHCqqkkitj9lH9qT4Rfto/ALw9+0t8CNUvL3wp4nt3m0m5v7B7aV0WRoyWjcBl+ZD1+teY/8FYPjXpPwg/Yn8aaPefDzxz4lvvGnh/UvD2i2PgPwVe63cC8nsZ/LaWO0R2hhJXaZWAUFlGckCvC/+Dbn4i3tt/wTn8G/sveMvg78RvCPi34caKsfiK38b+ANQ0eB3uLq5dFtprqJFucKuW2Z27lzjIyAfoNRRRQAUUUUAFFFFAHyd+03/wAFp/2Fv2SPHOs+CPjDrfjaNPDV5FaeKPEWk/DjVrzR9GnkKhY7m+igMEbfOvG4/eHevpj4d/EPwR8W/Aej/E/4aeJ7TWvD/iDTob/RtWsJd8N3bSoHjkQ+hUg88jocGvyf/wCC0/7Znx1/aV+NOqf8EvdL+Afxl8HfBOQJH8Xfi54a+DOra9c69CPLmOmaQtvA8ao/CvdMSOGAGF2yfpR+xNovwh8N/sl/D7w38A/BmveHvBmneGLa08OaN4p0i4sNRtraJdii5guVWWOU7SzB1BJbOOaAPUaKKKACiiigAql4k8RaN4Q8O3/ivxHfLa6fplnLd31yykiKGNC7uQoJOFBOACeKu1i/Efxbd+Afh9rnjmw8Har4in0bSLm9h0DQoUkvdSaKJnFtbo7KrSyFdiBmUFmAJHWgD5g+Fn/Bbv8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TV1ur9UdeAxMcFjqWIlBTUJRlyy1jKzT5ZLqnaz8j+QTxfr/ivxT4r1LxL451a+vtbvr6WfVr3U5We5muGYmR5Wf5i5bOc85r9of+Cf37S/i3xd+yZ4V139oX9uHVtJ8SyRTI9hJ460+zaK0SVltgYduU/chPvfMep5r6/wDGv7L/APwSe1j9qj/hKvHng74UN8W7nWLe7axvtYt01Ge+Ko8TtZGUb5WGxxmMlyQxyTk/S5s7QnJtYyfdBXwWC4RxlKc3DF8uv2b3f+LVa+Wp/Qvix4xZXxtk2CwlLK3ScbT5qijde7blpNLWm929L8sfdVj87oPhp+x18afiJdeNPF3ivw78VPFJ0owteeKvEVtrk9rYqVykULMY4IgxBLLGDucktlznpv8AgkER4d+Lnxf+G/wJeWf4FaXd2UvhCa2iSTTYNZlVjqNvZXIJM8S4hY/M4DO3Ocirn7cv7MX7P/7Q/wC2Z9n+Nnwr0zxEmk/C/TW01b0yL5Bk1LUQ5HluuchF656cV61/wTV8IeFvh/8ACPxb4I8EeH7TStH0r4kanbadptjCI4beJY7fCqo/Ek9SSSSSSa5skwNTD8WTpSqOTgm2/wCa6W+r7/gfnmL4hof6myw7lUqSqqMVCdvZ0lGXMpU/ek3Ky5V7tPljOa1TPomiiiv0o/MgrJ8d+HPBXi/wXqvhj4j6Tp9/oF9YSxazZ6tGj20tsVPmCUP8uzbnOeB1rWr8x/8Ag5v+IP7UPhD9nbwhoHwmuNXtfh7rl5fW/wASb3S4fkLf6N9it7iVfmSGQtcArwjsqq2flU8GZ4yOX4CpiJR5lFbLr0+7v5H1XBHDlbi3ivCZTSrqjKrKynL7Nk5ad5aWgrq8mldXufWv7GPwC/4JrfDPXNd1/wDYb0L4cNqUtpDb6/e+Dtbh1GeKBmZo43dZZGiR2RjtyocxAnOwY9/+xWf/AD6Rf9+xX8oH7Jfxh+OfwT+OejeJ/wBnr4han4b167nWwa9028SHzLeVlWSOUyfuzGeGPmfKpVW4Kgj90J/jj8OvNcQ/8FBdTKbjtP8Aws3T+nb+GvkMDxngaeHUZUHHyglb9D9K8X/DHMeEc9pOrmDxXto3UqjftVy2VpXctP5HfWzVvdu/vFIo4htjjVR6KMU6vmb4TfFrxN47udO1T4dfEhvFMSMlqLu11NLuGfYVDCV4iUznG9uCN3bNfTNfSZNnVLOYTlTg4qLtr1v/AFquh+MYzBTwTipSTv2CiiivaOIK/nH/AOC8/j/9p3xN+374n8KfHy41iLQtFu5F+HWn3kJitF0lyNs9uo+R/MK/PLyzMm1iNgVf6OK8d/bL+D37EHxX8F6Uf25NF8Ey6JYamf7GvfGmpRWSQ3TxtmOKd5IyC6IxMYbDCMEg7AR4XEOWTzXAeyjU5LO+uz9fz9T9V8H+OcLwFxX9er4R4hTi4e6k6kW9eanfq7crV1eLevR/iL/wQ/8Ajh8R/B/xD8SfDnUf2hNQ8E/D59Ll1G7WDXrXT45dWLwRRHzJhuZjEkgKrxhQT2r9B/iXrX7Mvxo8NHwR8bf2u18XeHnuEmu/D2u/E+2NldsmdgmSFozKqsQ4Vjt3qrYyox9ufs8fDr9nr4d/CDR/DP7M2heHLXwUkTS6MPDMkc1nKrMS0iSoWEpLZy+4knqa8/8A+Ckfg/wt4x/ZC1zwj4o0G2vdM1TxF4btNQs5k+WeCTXtPR0OMHBViOCDzwa+bq8L4zD5bJvGS5Yxb5Vfl2vZe9s/T5G3GPH2F4o47nmuHwv1W84pONlUXK7c7ty/vOr95apLm05j4x+IPgX4f/BP9rb4Ra1+xj4P0rRfipqHi+0sda0XwbpNsPtXhaR1/tGS9t0G2GFIhvWYqhLrwxKgV+o9fB37K37L/wCz3+zn+1/4El+B3wk0jw1Jqml68uoz2EbmSdUgtiqs8jM20Ek7QQM84zX3jXocE0nHKpT5m7yenRW7evU+d44zfD5jiKFCk5TVKNvaVElUnd3s0pStGG0I88rK7vryxKKKK+xPhgooooAZdNcLbSNaIrSiMmJWPBbHAPtmvkW/+Alv4u8Nz/Aix8P3OlWV1H9la1sYyDZxNIGJUuGwoJ4ZsjketfXtGB1xXhZzkcc4nScqjjyO9kr3vb7npvr6Hfgsc8HGSUb8wUUUV7pwBRRRQByHxK+EWm/EO4h1H+0ns7uGPyxKsQdXTOQGGR0ycYI+8eta/gjwZpfgTQl0PS3eQeY0ks0mN0jHuccdAB9AK2KK4aeW4GljJYqMEqkt3/WnzN5YmvKiqTl7q6GP448F6Z480JtD1OR4x5qyRTRY3RuO4zx0JH0JrI+Gvwj0z4eTzah/aL3l3NH5ZmaIIqJnJCjJ64XOSfujpXX0UTy3A1cZHFygnUjon/Wnz3COJrxoukpe6+gUUUV3GAV5V+3Hr/xy8K/si/EHxF+zVY3Vx47s/Dc8nhqGytFuJjcDHMcbAh3C7iBg5IGATxXqtFZ1YOrSlBO101dbq/VHXgMTHBY6liJQU1CUZcstYys0+WS6p2s/I/kJ8R+LPG+s+N7zxr4q8Q6nceIp9Se7vtUvbmQ3jXe/c0rux3+Zv5JJyDX7P/sEftQ+N/Hn7K3hnxV+0l+3VrVh4ruhcG4trrx7YWsgtxMy25aMruUmIITu+Y9Tya+6vEn/AATf/YW8YfGd/wBoTxN+zD4WvPGEupR6hNrM1m2ZbpMbZnjDeW75UMSVJZvmOSSa9pNnaE5NrGT7oK+EwnB2PoSm1i3C7+zfX11Wv3+p+/8Ain41ZJx7lGEweGy7klTfM5T5W4vltyU2k/ce7b5b8sfdVj4g+H/ir4W+KvF11qPh/wCOUHjbxFPp8cM1zceKbfUbxLOJ2KxgREbYlkmY/d+9LyeQK+mv2Xvhifhn4G1LzftSza/4jutYniuwA0TzbF2gYBC4jGAcnnrXoyW1vEd0cCKfVVAp9exlHDkssx0sVUrupJq2q9N3d32PwnF5ksTQVKMFFJ/10QUUUV9OeWFZ3i/wh4W8f+F9Q8E+N/D1nq2j6raPbalpuoQLLDcwuMMjowIYEHpWjRSaTVmVCc6c1ODs1qmt0+6PJf2eP2Ef2Qf2UNZ1HxH+zz8AtB8L6hq1qttf39lC7zSQq24RB5WZlQtglVIDFVJztXHq32Kz/wCfSL/v2KkoqKVKlQhyU4qK7JWX4HTjswx+Z4h4jGVZVajteU5OUnbRXbbei0Q1Io4htjjVR6KMU6iitDkCiiigAr+cf/gvP8QP2nvE37fnijwn8fLnWItC0W8kX4d6deQmK0XSnI2T26j5H8wr88vLMybWI2BV/o4rzv8AaJ/ZL/Zu/az0TT/Dv7Rvwf0fxZa6TdNcaYupxNvtZGXaxSRCrqGGNyg7W2qSCVUjw8/yqrm+C9jTnytO/k/J/n6n6j4ScfYDw74neY4zC+2hKDhdW54Xs+aF9Lu3K1dXi3r0f4X/APBEn9ob4ueHfG2tfCfXv2l9Y8H/AA2tdInvltV8S29jAmqPLCqeW04JBZBMSqcEjLc4J/RfUfir8FPEMUVh4z/bRHiCwju4LltK1r4i2MttLLDKs0LOi7S2yVI5Bz95FzkcH7T+EPwP+EfwD8AWXwt+Dfw90zw74f07d9k0vTrcLGhZizMc5LMSSSzEk9zXTfY7P/n1j/79ivCp8JY6OHVN42SVrWSdvNfEtPkZ8fce5fxfxVXzXD4KNKM7WWnM7ac0mlbne7te2iu7Xfz58Efhi/iP4w6L8TZxdIvhqyv44GVQIpWukjRgxI5IEYIAIxnmvoejAHQUV9Jk2VxyjBLDqXNq3e1t/LX8z88xmKeMr+0asFFFFeqcoUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFAGZ4z8ZeFPh34S1Px7468QWmk6Lo1jLearqd9MI4bW3jUs8jseAoUEk18ufs3f8Fvf+CeH7U/xh0T4IfDP4oaza6x4sS4bwRc+JvCN/pdl4oEDESf2dc3MSR3WMHhDk4wMkgV2n/BVn9nv4kftW/8ABOX4xfs8fCAI/ibxV4Iu7PRYJJhGtxPgOsJY8KH27Mnj5ua/KP4c/DH9pX9s7X/+Cen7Mngv9jv4peBdW/Zf1CK6+Lnijxp4Nn0rTtJW0FkjJaXUoCXhlNo7KIiclos9SVAP3eooooAKKKKACiiigDyP9sr9uD9n39g74ZwfFX9obW9VttOvL02lhbaH4futSurqZYnmZUhto3bCxxyOzHCqqkkitj9lH9qT4Rfto/ALw9+0t8CNUvL3wp4nt3m0m5v7B7aV0WRoyWjcBl+ZD1+teY/8FYPjXpPwg/Yn8aaPefDzxz4lvvGnh/UvD2i2PgPwVe63cC8nsZ/LaWO0R2hhJXaZWAUFlGckCvC/+Dbn4i3tt/wTn8G/sveMvg78RvCPi34caKsfiK38b+ANQ0eB3uLq5dFtprqJFucKuW2Z27lzjIyAfoNRRRQAUUUUAFFFFAHyd+03/wAFp/2Fv2SPHOs+CPjDrfjaNPDV5FaeKPEWk/DjVrzR9GnkKhY7m+igMEbfOvG4/eHevpj4d/EPwR8W/Aej/E/4aeJ7TWvD/iDTob/RtWsJd8N3bSoHjkQ+hUg88jocGvyf/wCC0/7Znx1/aV+NOqf8EvdL+Afxl8HfBOQJH8Xfi54a+DOra9c69CPLmOmaQtvA8ao/CvdMSOGAGF2yfpR+xNovwh8N/sl/D7w38A/BmveHvBmneGLa08OaN4p0i4sNRtraJdii5guVWWOU7SzB1BJbOOaAPUaKKKACiiigAql4k8RaN4Q8O3/ivxHfLa6fplnLd31yykiKGNC7uQoJOFBOACeKu1i/Efxbd+Afh9rnjmw8Har4in0bSLm9h0DQoUkvdSaKJnFtbo7KrSyFdiBmUFmAJHWgD5g+Fn/Bbv8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"info": {"equation": "1*9=9", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "4689c2483a8591f2bc32e7a25ab9794f7600a766b25ea9e3cd731dffe0193d2b"} +{"episode": 67279, "episode_seed": 4042180783, "split": "train", "timestamp": "2025-10-28T03:49:19.806753", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4042180783, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 1, 7])", "action": "('move', [3, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+66=71", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "5+66=71", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3b596f5e6e09a5a826cff0777036f69ee142861193f647a92e9c25777e88c4f3"} +{"episode": 67280, "episode_seed": 3065164088, "split": "train", "timestamp": "2025-10-28T03:49:19.845046", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3065164088, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 0, 0, 4])", "action": "('move', [2, 0, 0, 4])", "reward": 0.0, "image": "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", 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", 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", "info": {"equation": "6-1=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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b6/e+Dtbh1GeKBmZo43dZZGiR2RjtyocxAnOwY9/+xWf/AD6Rf9+xX8oH7Jfxh+OfwT+OejeJ/wBnr4han4b167nWwa9028SHzLeVlWSOUyfuzGeGPmfKpVW4Kgj90J/jj8OvNcQ/8FBdTKbjtP8Aws3T+nb+GvkMDxngaeHUZUHHyglb9D9K8X/DHMeEc9pOrmDxXto3UqjftVy2VpXctP5HfWzVvdu/vFIo4htjjVR6KMU6vmb4TfFrxN47udO1T4dfEhvFMSMlqLu11NLuGfYVDCV4iUznG9uCN3bNfTNfSZNnVLOYTlTg4qLtr1v/AFquh+MYzBTwTipSTv2CiiivaOIK/nH/AOC8/j/9p3xN+374n8KfHy41iLQtFu5F+HWn3kJitF0lyNs9uo+R/MK/PLyzMm1iNgVf6OK8d/bL+D37EHxX8F6Uf25NF8Ey6JYamf7GvfGmpRWSQ3TxtmOKd5IyC6IxMYbDCMEg7AR4XEOWTzXAeyjU5LO+uz9fz9T9V8H+OcLwFxX9er4R4hTi4e6k6kW9eanfq7crV1eLevR/iL/wQ/8Ajh8R/B/xD8SfDnUf2hNQ8E/D59Ll1G7WDXrXT45dWLwRRHzJhuZjEkgKrxhQT2r9B/iVrX7Mvxn8NHwR8bP2vB4u8PPOk134e1z4n2xsrtlzsEyQvGZVViGCsdu5VbGVGPtz9nj4dfs9fDv4QaP4Z/Zm0Lw5a+CkiaXRh4Zkjms5VZiWkSVCwlJbOX3Ek9TXn/8AwUj8H+FvGP7IWueEfFGg217pmqeIvDdpqFnMnyzwSa9p6Ohxg4KsRwQeeDXzdXhfGYfLZN4yXLGLfKr8u17L3tn6fI24x4+wvFHHc81w+F+q3nFJxsqi5XbnduX951fvLVJc2nMfHPjnw14T+A/7U3wqk/Ym0Kz0D4la54wsLLxL4b8EWECR6j4XLg30uoWsYCJDFHl452VTvzhiQBX6f18Hfsrfsv8A7Pf7Of7X/gSX4HfCTSPDUmqaXry6jPYRuZJ1SC2KqzyMzbQSTtBAzzjNfeNehwTTccqc3Ju8np0Vu3r1PneOM3w+Y4ihQouU1Si17Sokqk7u9pJSlaMNoLnlZXd9eWJRRRX2J8MfEH/BUnxp4s0P9oj4OeHPiN4n1DRPgzdT3d14jvlKwadca7AUl063v7kkeXDlXkCsyo0kSZyQBXi3/BQf43j4c3/w2T4Z/HCTw348Pji0+xRaVqNqkx0u4DRXsk/nZ8mHyA+2U7QXXAOeK/S/4ifDvwL8WvBGp/Db4meFLHXNB1m0a21TStRgEkNxE3VWU++CCOQQCCCAa4L9nj9h39kr9k+81LUv2d/gRoXha61iJItSu7GFmlmjQkqheRmYLk52ggEgEgkDHxua8MYrH5r9ahX5Vp3vGy+z/wAOj9Gyrirh7C5Zh1icM5VqEXFQUYeyq3lKSlVbfMmua0lyz54xilKG6+YZvjh8Oy7rH/wUF1PbkhSPibp/T/vmuh8KfDLwN8Z/hhF8LPhpqkV54ev7b7FDfaBeJcpHGJAHYSjemQwOScgEkGvs/wCxWf8Az6Rf9+xT0jjjXbGgUeijFZT4Qr1pxdfFymou+qb+68nY+VjnEIRahRSv/XYWiiivtzwwooooAKKKKACiiigAooooAKKKKACiiigDwf8AaI8KBfiePGzeHFWabR4NPXVI1YmWFJJZFiY/dBV5ZSBwfmPWuv8A2Xvhifhn4G1LzftSza/4jutYniuwA0TzbF2gYBC4jGAcnnrXpOAeoorwsLkccNnFXH+0bc1a1tr269dtNF8zvq451cHHD8trdQooor3TgCs7xf4Q8LeP/C+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/Z5+AWg+F9Q1a1W2v7+yhd5pIVbcIg8rMyoWwSqkBiqk52rj1b7FZ/8+kX/fsVJRUUqVKhDkpxUV2SsvwOnHZhj8zxDxGMqyq1Ha8pycpO2iu229FohqRRxDbHGqj0UYp1FFaHIFFFFABX84//AAXn+IH7T3ib9vzxR4T+PlzrEWhaLeSL8O9OvITFaLpTkbJ7dR8j+YV+eXlmZNrEbAq/0cV53+0T+yX+zd+1nomn+Hf2jfg/o/iy10m6a40xdTibfayMu1ikiFXUMMblB2ttUkEqpHh5/lVXN8F7GnPlad/J+T/P1P1Hwk4+wHh3xO8xxmF9tCUHC6tzwvZ80L6XduVq6vFvXo/wv/4Ik/tDfFzw7421r4T69+0vrHg/4bWukT3y2q+JbexgTVHlhVPLacEgsgmJVOCRlucE/ovqPxV+CniGKKw8Z/tojxBYR3cFy2la18RbGW2llhlWaFnRdpbZKkcg5+8i5yOD9p/CH4H/AAj+AfgCy+Fvwb+HumeHfD+nbvsml6dbhY0LMWZjnJZiSSWYknua6b7HZ/8APrH/AN+xXhU+EsdHDqm8bJK1rJO3mviWnyM+PuPcv4v4qr5rh8FGlGdrLTmdtOaTStzvd2vbRXdrv58+CPwxfxH8YdF+Js4ukXw1ZX8cDKoEUrXSRowYkckCMEAEYzzX0PRgDoKK+kybK45Rglh1Lm1bva2/lr+Z+eYzFPGV/aNWCiiivVOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigDM8Z+MvCnw78Jan498deILTSdF0axlvNV1O+mEcNrbxqWeR2PAUKCSa+XP2bv+C3v/AATw/an+MOifBD4Z/FDWbXWPFiXDeCLnxN4Rv9LsvFAgYiT+zrm5iSO6xg8IcnGBkkCu0/4Ks/s9/Ej9q3/gnL8Yv2ePhAEfxN4q8EXdnosEkwjW4nwHWEseFD7dmTx83NflH8Ofhj+0r+2dr/8AwT0/Zk8F/sd/FLwLq37L+oRXXxc8UeNPBs+ladpK2gskZLS6lAS8MptHZRETktFnqSoB+71FFFABRRRQAUUUUAeR/tlftwfs+/sHfDOD4q/tDa3qttp15em0sLbQ/D91qV1dTLE8zKkNtG7YWOOR2Y4VVUkkVsfso/tSfCL9tH4BeHv2lvgRql5e+FPE9u82k3N/YPbSuiyNGS0bgMvzIev1rzH/AIKwfGvSfhB+xP400e8+HnjnxLfeNPD+peHtFsfAfgq91u4F5PYz+W0sdojtDCSu0ysAoLKM5IFeF/8ABtz8Rb22/wCCc/g39l7xl8HfiN4R8W/DjRVj8RW/jfwBqGjwO9xdXLottNdRItzhVy2zO3cucZGQD9BqKKKACiiigAooooA+Tv2m/wDgtP8AsLfskeOdZ8EfGHW/G0aeGryK08UeItJ+HGrXmj6NPIVCx3N9FAYI2+deNx+8O9fTHw7+Ifgj4t+A9H+J/wANPE9prXh/xBp0N/o2rWEu+G7tpUDxyIfQqQeeR0ODX5P/APBaf9sz46/tK/GnVP8Agl7pfwD+Mvg74JyBI/i78XPDXwZ1bXrnXoR5cx0zSFt4HjVH4V7piRwwAwu2T9KP2JtF+EPhv9kv4feG/gH4M17w94M07wxbWnhzRvFOkXFhqNtbRLsUXMFyqyxynaWYOoJLZxzQB6jRRRQAUUUUAFUvEniLRvCHh2/8V+I75bXT9Ms5bu+uWUkRQxoXdyFBJwoJwATxV2sX4j+LbvwD8Ptc8c2Hg7VfEU+jaRc3sOgaFCkl7qTRRM4trdHZVaWQrsQMygswBI60AfMHws/4Ld/sF/FT4+eGf2bYNe8beHPEvjZmXwV/wm/w41XRrbXyM4NpNdwIsobHykcNkAHJFfXNfh/H8OPG3xv/AOC0HwK/aS/YU+Av7Ss0eneJb+6+L1/+0V4d1EaJ4f025m3Tx6adXB+zShWmEa2p2qfJCcZr9wKACiiigAooooAKyfHvjvwb8LvBOr/Ej4h+JLTRtB0HTpr/AFnVr+YRw2dtEheSV2PRVVST9K1q+G/+C1n7Pf7bP7UHh74afCv9nj4KaZ8RPhtH4r/tX4w+Bbzx5F4dfxJbW2ySz097uSKXFq043zIsbFxEq5XO4AHsf/BPv/gpx+yZ/wAFOfBXiD4gfsleKNW1XTPDOqpp2qzaroU9iyzvH5ihVmALDb3HTpX0DX5Lf8G1ngr9sb4YfGL9qPRvjn+xfe/Drw94l+Meqa0moahqTRpb3jXEmLGyhe2jF7aKrHbexERsEGEG4Y/WmgAooooA/9k=", 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"info": {"equation": "6-1=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "80dcf6e3a7f6f870896521eeb448089d3dd1b25c833febe4b788f9c0de98c160"} +{"episode": 67281, "episode_seed": 1845382977, "split": "train", "timestamp": "2025-10-28T03:49:19.914197", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1845382977, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0, 1])", "action": "('move', [1, 6, 0, 1])", "reward": 0.0, "image": 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", 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oYWWHlhIckqsUuZ6qLlT1je/K5SvKN5ykr6Xdf/gmHf6lefspWtol7c3Ph7TvE+sWHgW5ucHzNBhvpY7Hy2BPmQrEoSJ8ndEkZBIIJ+ha8z/Y50bSfDn7NHhPw9oGnQ2dhYWUltZWlugWOCGOeREjUDoqqAAPQV6ZX2eWRcMuoxbv7sdfkj8nzzGQzDOcRiYx5VOcnb1b38+/mfkb/wAHVHiP4sWvg/4T+FtPlvU8EXl/qM+qiKP/AEeXU41iFsJGH8Qie4KqeuXIzjin/wAE8vij4b8ef8E//C3gb9of9rK6tLWfS7nSrrwneeO7SxgfSUleGG2eIFZFiaBQhBYMyHk81+gH/BQ34SfDb43/AA08K/Dz4s+D7XXdEuvG8Ulxp14XCOyaffMhyjKeGAPBpnh/wt4bi/4JtXnhiHQrVNOT4XahaJZJCFjWAWkyCMAdFCfLgdq+PzHK6+Mz6vyV5Q9xS06rbl3Wml/mfp0+PsDPwzy7II4VKrQrym6qtfVyacevN79nqvgjZ/y+f/8ABOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/BO/4QfDD4GeHfGXw9+EPgmy8P6LDr9vPHp9grbPNksoS7ksSzMcDkk8ADoAK+i6+h4Zg4ZHQV76X+9t/gfn/FeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5Wvbmlu/jr/gvN4k+LHhj/AIJk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fd8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//AASQ+LfxD8O/tz3WqeI/jVqnhSPxBp2pHxvrkmsxWU07YaYCWa4Bw7XQjJH3ic9s1/SdXlPwI+EP7HPgb4leP/EP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzXmZ5k1bNMRRlTrez5b+uvVarXTXXY/TOB+OsHwxwnnOWVcH7Z4uEYqVlaFm177d9Fzc0LfbS73Xw18Z7H4N3Wk3Px8+FPxDt/F3xatfEWjReE/FsWuW+q6x/af2hYrSwiZThYpEedHgUBXjkndgcFl/Tuvjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JUxUJ1HNqdrvq0t+urvr6HzHEea08fl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nF/bk+Lv7Svhj/gtV4p8aap4z1jQfFGk/EkWHh7UfNW2ks9IMghtfLLfIkTWcinJ+VhKzN95q/o6r43+MvwR+Eut/t8W3xw1jwBp9z4t0rxH4cstN12ZGaa3t28vcijO0Z8xxnGcMRmq4rw8q+FoqM3H95Faeel/Vbo+o8KuNsFwVjsdVxOFVdVsPOmk7aN2dnf7Etpre1tHaxieFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPrsyfJamV1alSpWdSU7avyv5u+5+c4zGxxUIxjBRUb7efyQV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbud88x8Muy6VaUOdXSs9tX1/rex9t4V8KYjjPjOjl1HFPDScZy9pG/MuWL0jZq7ez1Xu8z6WP3F+yWobcLaPOeuwVJX5vfsd/tLX2ufBP4feJfid+2vqF34u1Dw/aNq2jaj47sj5t1LHt8t4AA+47h8ud27Hevv/wCE93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/AIKCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/8AgmB8EvhL8E7/AFm0+E/gGw0GPW/B2h6hqwsVbN1dM10DI5Ykk+3QZOAMmvmM0oSlxDgp8zXx6eiv+N7PyP1PhjjXB5P4cZxkVTDKc8S6bjPTSzXxdfdtzQttJt6dfr2vDv8AgpX4j+LHhH9gn4reJPge96niez8HXT6dLpse64iXAE0kY6h1hMjAjkFcjkCvcaSSNJUaKVAysCGVhkEehr6KvTdajKmna6av2utz87yvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PB/wQv+KuueCfil428N6j8e73wP4YvfD8V1eSW3iC209bq/jnVIAXmBLERyXPyr9T0Fff2l+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd833N8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCvnbwh8EPhFpX/BRW4+OmnfD7TovGGoeNrywvPECo3nyWy6C4EfJ2qMIgyACdoya/O6nD2Ky14T2mIck6kVyq9k227rX9FufsPEviPl3FPF+OzjD0JUYTpNKKtepaCjatZpcr3l8eiUba8y+xaKKK/ST8PP5q/2d/jR+0VoX/BWabxh8R/ihrXhTxVrHjm9sPH+qyX0djNDbGZvtUMjSfJGirEAF6L5abeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvWt8PPgf8I9J/4KC3Xxv0/4f6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5r7Djt4IjuihRT6qoFfnGW8O1sdGrfEyUY1JJx3T5WtXra79D9j8S/ELAcWZjhMThsEqPs8PCD23V7pWXwRvaK3t2vZPooor9HPxw/nx/wCC/vxJ/aA0D/gqvdarda5q2nDwtYaPcfDS5jzF9mhEUc3n25HU/bftGX67o9p4QAfop8M/il4P8ZxeGoPEv7VsvivXWtYJRoN/43s7sfb2t8SFIIsEuu6UADOATxX1/wDEj9mL4AfGD4j+Fvi78TfhRpGteJfBU5m8LaxewFptPkLK+5CDg4ZVYbgdrDIwea7dbW1Rt6W0YI6EIK+KxHCmLxGJrz+tOMajbsru6fR6pabLfQ/WuKPEfLs+4ayfLaWCUJ4Km4Slp7z91XjZXs+XnlfXnk+13zfwW8JHwP8AC3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiivsKFJUKMaa+ykvuVj8nnJzm5dz5X/AG2PFGs6X+1N8LNG8Q65PY+FpfD+vXNksjrHaXOuJ9lWNJHJGZFs5L5kTuPNYA7CV+b/ANnr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlsfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/b+VRyCjhVh71ouzbUeWyc5Jp6tylzpSTSsoJpy5rQ8+/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7nymIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/8Agkb8Z/id4Z/bcvpfEHx11nwlZ+JLLUJfHmqvrsdk91KqySoZ5LjgyfaWH+3l2HQtX9JVcF8Lf2XP2evgn4y8U/EL4U/CTRtC1rxtfC88U6jY22JNRn3yPvfJIHzSyNhcAlycZr53O8lxGa16M6VZ0+S+1769VZrXpvsfqHBPH2X8K8K5vlVfCKrLGQjGMtLRaunzX1sr80bbTS73Xz58BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8AM/O8Zi1i5xajypK1gr8xP2jvjFr3hPwT8Y/EPiL4rXuhePrX42G002Sa5ggurMLqNumkxwpL8qwvpyQyhyMFGmkJ4Yj9O64PVv2X/wBn3Xfjxp/7T2sfCbR7jx9pemmw0/xRJb5uYbciRSgOcZ2yyLuI3BXIzjis89ymtm1GnCnU5HGSd/66roe5wxnGWZRVqSxtL2iaTSSi7yi7qEubanPadrtaO0rWfzd8MPjTpOo+J30LwH+1heeMNQuQDb6W/jK21CTCNnckcIDemeox1r7JtGuHtYmukCymNTIqngNjkD8aVLa3jbdHbop9VQCn08oymvlkpyq15VXK2/S1+7fc8XGYuniVFRpqNu3/AAyCuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHAru6K9icIVIuM0muz1MMLisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4UUUV6BzhXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc5+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vp74A/F+PxF4qh0D4f/tIXPji6+2QzTWsviq31F4Y87DkQYKxkE5LDHfIxXvXh79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCviMPwnjaUm3i5Jc17K+ut7vVavro9e59tn3EeU4+sp4TDct7uV1FNSm23GNr+5D4Y7Nq7tG/Kn0UUV9ufEhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/8Atm/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=", 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", "info": {"equation": "90+52=142", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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N3p10GCSFLW7dclCrcMoPB7V+f5tw/iYRxeKWIai7y5VfXS9parbZaPQ/aM28Q8FneUZBl0MLLDywkOSVWKXM9VFyp6xvflcpXlG85SV9Lun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt3tGOvyR+UZ5jIZhnOIxMY8qnOTt6t7+ffzPlj9tjxPrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrafZUjWRyRmRbOS+ZEJ5HmsAdhI+ev2p/iN8e3/4IR+OvFPw61XVrgT61qVpp+qQWyiabwm+tyxLKCg5hayIHmj70J3Zwd1fV3/BQ34SfDX43/DTwp8Pfi14Otdd0S68cRSXGnXhcI7Jp98yHKMpBBAPBo8PeH9Dg/wCCa954Tg0mCPTI/hbqFnHYRx7YktxaTRiIKOihPlAHQV83Vwk559i/fa5qP3X0/C1/mz7LKOI8ryvB5biHhlOpQrQlJNR5ZRpzlPR7tz51GV1Zcid5XtD4O/4NUtY+JkvgP4uaDfRXP/CGwavps+mSNABD/abxSrchXxkt5KWhZc8DYeN3P63186f8E7/hB8Mfgb4d8ZfD34Q+CbLw/osOv288enWCtsEklnCXcliWYk45JPAA6ACvouvV4ag4ZHQV76X+9t/gcXiXxFhuLOOMZmtCl7KFSStHS/uxjG7tpzStzStfVvV7nx1/wXm8SfFjwx/wTJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/AARK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/AA5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL6PhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/AOCSHxb+Ifh39ue61TxH8atU8KR+INO1I+N9ck1mKymnbDTASzXAOHa6EZI+8Tntmv6Tq8p+BHwh/Y58DfErx/4h/Z58PeDYPFWr6wsnxGfw/dxTXQvS8rhbpFdjA5dpm2ELkljjOa8zPMmrZpiKMqdb2fLf116rVa6a67H6ZwPx1g+GOE85yyrg/bPFwjFSsrQs2vfbvoubmhb7aXe6+GvjPY/Bu60m5+Pnwp+Idv4u+LVr4i0aLwn4ti1y31XWP7T+0LFaWETKcLFIjzo8CgK8ck7sDgsv6d18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1c3DGFnhKmKhOo5tTtd9Wlv11d9fQ+Y4jzWnj8uwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZX84v7cnxd/aV8Mf8ABarxT401TxnrGg+KNJ+JIsPD2o+attJZ6QZBDa+WW+RIms5FOT8rCVmb7zV/R1Xxv8Zfgj8Jdb/b4tvjhrHgDT7nxbpXiPw5ZabrsyM01vbt5e5FGdoz5jjOM4YjNVxXh5V8LRUZuP7yK089L+q3R9R4VcbYLgrHY6ricKq6rYedNJ20bs7O/wBiW01va2jtYxPC3jH4e/EHxSNH0b9pSXx1qj2s0On2Fx4wttRlhR8CRoooQGyQFycHgCvtDwXoKeFfB2k+F43dl03TILVWkILERxqmTjjPHatBLa3jbdHbop9VQCn12ZPktTK6tSpUrOpKdtX5X83fc/OcZjY4qEYxgoqN9vP5IK8r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c755j4Zdl0q0oc6ulZ7avr/W9j7bwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/AGlr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/APCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/APBMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/wAb2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfRV6brUZU07XTV+11ufneV4yOXZnQxcqamqc4ycXtLlknyvydrPyP54P8Aghf8Vdc8E/FLxt4b1H493vgfwxe+H4rq8ktvEFtp63V/HOqQAvMCWIjkuflX6noK+/tL8MfBbS/j38Lvi78CNcsfEHxD1j4u20V14qstQg1TUtWtZo/L1dLicEloY9PBYgYWERw7Qu75vub4E/swfs+/syeHr/wp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFfO3hD4IfCLSv+Citx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+d1OHsVlrwntMQ5J1IrlV7Jtt3Wv6Lc/YeJfEfLuKeL8dnGHoSownSaUVa9S0FG1azS5XvL49Eo215l9i0UUV+kn4efzV/s7/Gj9orQv8AgrNN4w+I/wAUNa8KeKtY8c3th4/1WS+jsZobYzN9qhkaT5I0VYgAvRfLTbyq1+vHgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM961vh58D/hHpP8AwUFuvjfp/wAP9Pi8Xax401Wy1LXtjGee3XS5QsZySoGI0+6ATtGc19hx28ER3RQop9VUCvzjLeHa2OjVviZKMakk47p8rWr1td+h+x+JfiFgOLMxwmJw2CVH2eHhB7bq90rL4I3tFb27Xsn0UUV+jn44fz4/8F/fiT+0BoH/AAVXutVutc1bTh4WsNHuPhpcx5i+zQiKObz7cjqftv2jL9d0e08IAP0U+GfxS8H+M4vDUHiX9q2XxXrrWsEo0G/8b2d2Pt7W+JCkEWCXXdKABnAJ4r6/+JH7MXwA+MHxH8LfF34m/CjSNa8S+CpzN4W1i9gLTafIWV9yEHBwyqw3A7WGRg81262tqjb0towR0IQV8ViOFMXiMTXn9acY1G3ZXd0+j1S02W+h+tcUeI+XZ9w1k+W0sEoTwVNwlLT3n7qvGyvZ8vPK+vPJ9rvm/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUV9hQpKhRjTX2Ul9ysfk85Oc3LufK/7bHijWdL/am+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/N/7PXx38DeKvhhqNp40/bQul0mTxRrlppui3njewtrebR1v547eMwgA+U0AAHILIQc85r9Bvjr+z58F/wBprwDJ8Lvj18O9P8T6BJdRXLabqSMUE0ZJSRSpDKwyRkEcMR0JB6TRvDXh7w7o9p4f0HRLWzsbC2jtrK0t4FSOCFFCpGqgYVVUAADoBXy2P4bxeMzKpiYYlwUklZXvorW3WnX5s+v/ALfyqOQUcKsPetF2bajy2TnJNPVuUudKSaVlBNOXNaHn37MHhcaVoGr+KA0n/E81COZd2NhWOCOIMnHIO3rz7V6fQAAMAUV9Fl+DWAwVPDp35Va/c+UxFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5zmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/wATvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/28uw6Fq/pKrgvhb+y5+z18E/GXin4hfCn4SaNoWteNr4XninUbG2xJqM++R975JA+aWRsLgEuTjNfO53kuIzWvRnSrOnyX2vfXqrNa9N9j9Q4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawV+Yn7R3xi17wn4J+MfiHxF8Vr3QvH1r8bDaabJNcwQXVmF1G3TSY4Ul+VYX05IZQ5GCjTSE8MR+ndcHq37L/AOz7rvx40/8Aae1j4TaPcePtL002Gn+KJLfNzDbkSKUBzjO2WRdxG4K5GccVnnuU1s2o04U6nI4yTv8A11XQ9zhjOMsyirUljaXtE0mklF3lF3UJc21Oe07Xa0dpWs/m74YfGnSdR8TvoXgP9rC88YahcgG30t/GVtqEmEbO5I4QG9M9RjrX2TaNcPaxNdIFlMamRVPAbHIH40qW1vG26O3RT6qgFPp5RlNfLJTlVryquVt+lr92+54uMxdPEqKjTUbdv+GQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXsThCpFxmk12ephhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CiiivQOcK8X0v4fm6/adOtnTJLYWGpzaozQqdkzPZvahmJznKydscp7EV7RRXn47ALHToycrezmp+tr6HRQxDoKaSvzJr7wooor0DnPyquPjfq2gfCH4X6x4o+Ol/wCHPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313fT3wB+L8fiLxVDoHw/8A2kLnxxdfbIZprWXxVb6i8MedhyIMFYyCclhjvkYr3rw9+y7+z34U+OGtftJ+HfhJo1p468RWS2mteJorf/SbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfEYfhPG0pNvFyS5r2V9db3eq1fXR69z7bPuI8px9ZTwmG5b3crqKalNtuMbX9yHwx2bV3aN+VPooor7c+JCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/9s39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/AMJvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8ACK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/AIJa/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/AAUK/Zj/AG1/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wAFCv2aNP8A2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/AMF0fg74p+F3wf8Ai5He+AbfWrL4h614l0q4/wCEMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8ABWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P8AglMv7Saf8E7/AITr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/wCM/wCxv8Wfg/8AD4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4//wCDejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/AMFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P8Aw3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P8Axv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//Z", 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", 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", "info": {"equation": "90+52=142", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "49fd58932afe781d9d4d88f1022555f7c536ce409d4e541b224f0a7ec223b699"} +{"episode": 67282, "episode_seed": 1702993979, "split": "train", "timestamp": "2025-10-28T03:49:19.979589", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1702993979, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 0, 2, 7])", "action": "('move', [6, 0, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "50+82=132", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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": "50+82=132", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "66652983df2f05f7950938a4b18faa545831c18c9faad8b69471c5bcced22158"} +{"episode": 67283, "episode_seed": 2987133187, "split": "train", "timestamp": "2025-10-28T03:49:20.045308", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2987133187, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4, 8])", "action": "('move', [3, 1, 4, 8])", "reward": 0.0, "image": 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", 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o35o3tqlqtzzj/gg9q/xL1j/gmD8O5PiZDcK9ul5b6G1zAI2fTEuZFtiAMZXYMKx6qFPIwT9g15n+xzo2leHf2afCnh7QdOhs7GwspbaytLdAscEMc8ioigdFVQAB6CvTK7MsjyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/8HVPiP4sWvg/4T+FtPlvU8EXl/qM+qiKP/R5dTjSIWwkYfxCJ7gqp6guRnHFP/gnl8UPDfjz/gn/AOFvAv7RH7WV3aWs+l3OlXXhO88d2ljA+kpK8MNs8QKyLE0ChCCwLIeTzX6bftWfDv8AZc+JvweuvDv7YVh4Yn8FJeQT3LeLb9LW0iuFfET+c7oI33NtBDAncV5DEFfjz4V8HQfspeMvDGj6HYpoyfD7ULS1s7aJRALUWMiLGgXgJswABxjpXzeZ8P4nFZhWxMMS4JxWivfRWs9Vpp+eh+hT8QcJPw3y7h5YPlqUK0p+2011b9178/vrm1VlGGuvu+C/8E4/DnhbwF+0D8W/AnwY0Sy07wRFp+hXl3YaNZxR2Ftr8iXKXKxmMYEjWkWnvJGPu5RsDfz9g186f8E7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1eGYOGR0Fe+l/vbf4HwfFeOp5hntWtTu1aMby+KXLCMeaVm7Sla7V5Wvbmlu/jr/gvN4k+LHhj/AIJk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/giV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fd8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86//AASQ+LfxD8O/tz3WqeI/jVqnhSPxBp2pHxvrkmsxWU07YaYCWa4Bw7XQjJH3ic9s1/SdXlPwI+EP7HPgb4leP/EP7PPh7wbB4q1fWFk+Iz+H7uKa6F6XlcLdIrsYHLtM2whckscZzXmZ5k1bNMRRlTrez5b+uvVarXTXXY/TOB+OsHwxwnnOWVcH7Z4uEYqVlaFm177d9Fzc0LfbS73Xwt8cNG+CGr6JcfHX4beOLPxp8V7TxPof/CJeKv7ZttX1casl0iWNlEwJCxuDMGgUBWRppGBKl1/T+vjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Grm4Yws8JVxUJTc2p2u+tlv11d9fQ+Y4izWnjsuwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZVDxRr1v4Y8PXmvXX3bWBnA/vHsPxOBV+vE/2wPio3hjwncaPo1hLfXdpEJzZRDm5nbC29uDgnLyMo6cZBr2c4xyy7L51V8W0V3k9v8AP0PnMHQ+s4iMOm79Opg/su+HpPiN8b/Enxn1iNZoPDaPoejyuiNm+m2T38ytuJBC/ZoeQpBWYc5NfRVch8Bfhgvwc+EWh/D2W5Fxd2dqZNVvBj/Sr6VmmuZuFUHfM8jfdH3uldfVZTgll+X06PVK7829X+IsXX+sYiU+nT06BX4af8HSPiP4sT/tUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDGOe5fPM8ulQjPlbad3to+v8AW9j7zwr4uw/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+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel14f/wAFK/EfxY8JfsE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7hVHxMWHhvUCvUWMuP++DX0tem6tCUE7XTV+11ufM5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cv0C0TQ/hDoPx3+GnxX/Z/8TWuufEDxD8Wba21HxPp2pw6lqOt2UqgatFdzKxMlvFYoJCvCwGGAqEJG72f/gmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/20NIxckk4AGM4HYCqPhD4IfCLSv8AgorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfl2CyyusJgsQ68uWVSKUekfeeq18u3U/Z+LfEDL+IONcwzSjRlShKlblVr1LQjG1WzS5X9r4tEo215l9i0UUV+rH4SfzT/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/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUVtQpKhRjTX2Ul9ysZzk5zcu5+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOJP8AgnF8d08U/sQ+ENP+Pn7Y1/bXH2K40+Tw7qXjqzt4zpkcrwwQPC3z+WYFVcEhivfkGv09+Ov7PvwX/aa8ASfC749fDvT/ABPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV8tj+G8XjMyqYmGJdNSSVle+itbdadfmz9UxPiHl1fw0wPDKwS9rQqzm6mlmnzNW0b5nzWlfS0I77R89/Zg8LjStA1fxQGk/4nmoRzLuxsKxwRxBk45B29efavT6AABgCivosvwawGCp4dO/KrX7n5fiKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP8AQrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc5zPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nb/AOCRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvnc7yXEZrXozpVnT5L7Xvr1Vmtem+x+ocE8fZfwrwrm+VV8IqssZCMYy0tFq6fNfWyvzRttNLvdfPnwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPzvGYtYucWo8qStYK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eivQxGFw+KUVVjflakvJrZnPTq1KTbg7XVvkwoooroMwr8Nv+DozxR8XR+1Z4B8M6ndX8Xg218GfbPDihSsDai1zKt26sPvSKiWgPdQVxjdz+5NcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXk53l1TNMvlh4S5W2n5aPr/W5+heF/GWD4D4wpZviqHtYRjOLStzLmi1eN9L9H/dbPg39ln462XxF+APw/vfjh+2Jd6v4j1HRtPuNX8P6v45sys198joj264feJBGwTOdwGecivvP9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1rtvslqG3C2jznrsFSVw5VkNbL8Y8RVxDqPl5dVsrp7tvsfMZvm9PM6tSdOjGkpzcuWOyu3olZaK9l5IK5/4qfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyKNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABS0URjGKSSskKrVqV6kqlSTlKTbbbu23q2292+rCvHP8AgoNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf8APRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsazr03WoSpp2umr9rrc6suxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/Qv7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfZ/gR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXKk+W6d9Lv8AG3c97Os7y3EVXDA0mocvKpSSU5d5SUbq93ZLmdkkruw6iiivtT5QK8W/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": "19+5*9=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+5*9=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c4ceeafeb1ff445ffcd2001f514fdbd2c674a3e45ae555b812600f70a31f15b1"} +{"episode": 67284, "episode_seed": 3936441139, "split": "train", "timestamp": "2025-10-28T03:49:20.104359", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3936441139, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [4, 6, 2, 7])", "action": "('move', [4, 6, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "22+30=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "22+30=52", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "3b8745c612292946b51e88606e4b14f67417f1e11b9eab269e89dd9b9fa8538d"} +{"episode": 67285, "episode_seed": 2137589034, "split": "train", "timestamp": "2025-10-28T03:49:20.155790", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2137589034, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [1, 4, 0, 4])", "action": "('move', [1, 4, 0, 4])", "reward": 0.0, "image": 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ngG7l12+tY2Ml43k2MnzF2bA3uzbVwMnpwMexf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXssT/gkre3SeAfiL4T8H39xd/DPQfiFPY/C6dyJLZLEW8LXUFpNk+daxXzXUUbZYAJtDELgfWdeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6/Sclg6eUUE3f3IvXzV/w2Px3iXHwzPPa+JhGylLru7JR5pW3nO3NN9ZNsKKK4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldGOxlHL8LKvVdlFff2S83seRQozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/xKz5n5R6L7v07HbmVWHOqFP4YafPqwooor6Q80KKKKAP5/v+DlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/BCTXvjF4g/4JneAp/jJBdrLbLcW3hx722ETyaPG+20YAAFk2DCMRlkVTyME6f8AwUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E/8AwKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KH8xn/BV/wCIH7Qupf8ABST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqB8Efjlp3xM/Zo8Mj9oL9ufVP7b17wlAPF2nS/EiytCZZocTRsse1oshiCFKsueCCK+xvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr0r4r2lqPhf4lcWseRoF4c+WP8Ang9fCLhbGPEVpwxbipNvS93197Va6+Z+68deKWA4m4byjAUsu9jLDQXvNJLRKNqVlfkvG7295JdLv4L+A3gP4S/CL9vL4O2n7InhrR9Ll1rQdTt/HNn4StIXt5/CyWRktrq6KZ2gXy2axTk7pTJINz4O39F6+If+Cc37OXwL+AXxm0ef4NfC/S/D0mufDC7m1eWxRy906z6SVLM7McAu5ABABYnHNfb1ehwbTcMlTve8pP06WX3X+Z+d8bZnRzLM6apylP2dNRc52U5vmlPmklKW3NyR96Xuxjr0RXO/Fvwv8MfGvww1/wALfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7Ixmuir84/+DmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD7uZYqOCwFSvKPMorbv/AMDv5HNwTkNbifizB5XSrexlVmkp/wAttbrb3tPdV1eVldbn2h+yn8Mf2Ufhr8IYNA/Y/wBI8KReDJb6e4hfwneR3dpNclgsrmZHfzHyoUksSAgXgKAPSY4IIjmKFFJ6lVAr+fH/AIIa/G7xx4T8XeL/AId65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+qXwf+Mw8QXTeH/h1+0ddeNbyO4W4MQ8TwajNFnCAEQciM+jDGSa+Tw/GmCjh4x9hJPRWilb5fpp5H1PiJwHjeGOL8TgauL9u01L2km+d8yUvfvf3tddX362Pr+imQGZoEa4UCQoPMC9Acc4p9fcp3Vz8uCv5Svj38VP2m2/bH174rfFfWtXs/ipp/jP7TdXN5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXiWv/A39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBj53iHJ6ubQpKFXk5Zdet/1XT1ep+yeD/iLgvD6vmE8RgXifbUrKyV48t3aV9qUr/vHr8MXZnype+P/AIP/ABR+F0Hg744ftoTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9T+xpofhz4Zf8FBrn4d/s3aXbab4Wvfh1NffE3QfD1rEumWWoLPbppU7rH8tvdSwm7BUbTJFCjkNgNX01+2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr5+nlWIwPEmFhUxEqjak7u97JPTd6PqfOYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+Pwl/wCDnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/AMElP2ivFOqfsfWFj8af2z9Z8PtpOrTad4Z0ubxxZ2Zh0qKKFYlWOUF9gfzlUt/CoA+ULX6oftDfssfs9ftX+GLPwb+0T8KNK8V6bp179rsbfUkbNvNsZC6MhVlyrEEA4PGQcDHX+HvCXhfwloFj4V8MeH7Ow03TLOK00+xtbdUitoI1CRxooGFVVAAA6AV8ZieGMbXzOriYYlwUu17+j1Wi6H7XmviplWYeGOA4YjgEqtCV3N8vLpf3o6N8873m3bW+99Plr9n7wx4O+JutaDceCPGI16w07xH/AGrda1ZanHefaLpJHmkaaZMqWeRyWxg5bjFfWtNjjjiXbFGqj0UYp1e3kuU/2Rh5U3Uc3KTk21be3m+3c/IMbi/rlRS5bJK1grw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nPgb+xl+yx+zT4g13xV8B/gboHhjUPErhtautMtSrXGHZwoySI03Ox2JtXpx8ox6UtraowZLaMEdCEFfDUeDsasN7KWLaTveKTcf/Slfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmR2dpBYWkVjaxhIoY1jjUdlAwB+QqSiiuhJRVkZNtu7CiiimAUUUUAeQ/tMaFLda/oPiKPRBLJaW9xbW92iMzr5zws8XHGGMMRHcleK7b4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rqKK8rD5XHD5pWxvO26iSt2su/yOqpinUwsKNvhvr6hRRRXqnKfzGf8ABV/4gftC6l/wUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6j/ALP37QUXjX9nnwjqnxy/bq1JfEWq+GLaTxPp9z8QtPhBnkiBljeIAbM5IK8EZI4Nfb/xR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/wDfAr4dcJ45YmrUji3BSd9L3f8Ai1Wv3n7dx14rZTxZw1leW0cvVOWFhaTfLa6io2p2Tag7czTs72XS78G/ZW8HaTqPjC3+JmgzB9NsvDEmnaZLaSK9rNDcSWsoKOM78LbJgg4w3Ocg177SKqoNqqAB0AFLX0uUZasqwMcMpc1r62tu77an43jMS8XXdRq1wrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmFOpUo1FUptqSd01o01s0+jRxPwL/AGcfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEK/lQ+Nvxj/aq079tDXvjD8RfFGu6X8WdO8YPNdX0v7i8sb+KTYiKvRFQKqKg+QIAoytf1X15lq37Gn7LevftBWv7VWsfA/Qbj4hWaKtv4pltibhdsRiViM7WdYztDlSwAXBG0Y+e4gyavnEKSp1OTkd+v36dV09Xqj9g8I/ErLfDmvjp4zB+3Vemora6av7rv/y7nf37Xfux91nyHo/xj+HfiPwVYWHxM/bcm1JrvS4Br2j6l8RrBre4kaNTNDIiYyhbcCoI44zX1P8Asv8Ag022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf8Az6Rf9+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kz82xeaQxFGVOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//AAVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/AODj/wAW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/AIKZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/wBs3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw/8A2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf8AgoL+y/8At8xeN7v9mHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv8AaZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/wCCoH7Ovwz/AGqpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/wDsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/8AZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/wBJERufN8sS/NgNj5cUAfctFFFAH//Z", 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", 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", "info": {"equation": "65/13=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": "65/13=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "709297ac7e4a39367f46da99296adb62e9bb53ff6c6af08320c3dfb7a28c7d6e"} +{"episode": 67286, "episode_seed": 145987778, "split": "train", "timestamp": "2025-10-28T03:49:20.215599", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 145987778, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 7, 0])", "action": "('move', [2, 7, 7, 0])", "reward": 0.0, "image": 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", "info": {"equation": "74-17=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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sG/FPxP8AAJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8AI+XyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/m1/4Iu/F3xr4B/akuvDtv8AHPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX7K/AX4vt4l12HQfh3+0NceOLiK+jmmifxPBqLwq2Fw/kY2xkKfvD+8Qa9x+Bf7Jn7Nv7M39t/8KE+DeieFv8AhI74Xet/2XbbftUo3bSck4Vd77UGFXccAZNegxwQRHMUKKT12qBXxeE4Sx1GnGLxckk78sb23vpqvy3P0vxM8RMt444onmeFwfs4uEY+9bmdl8UrJq+vKtX7sY+ifRRRX3J+TBWZ40n1+18HatdeFIfM1SPTJ202PaDvuBGxjGDwctjg8Vp0UmrqxUJck1K17dHsz+av/gmL45/aXv8A/grv4E8UiXWLvxvqvxCkTxu13a77lreWR11Uzq4+TbCZy3A2beMFQK/pUr4j+C3wE+DXhj9uaL446B8OdOtvF2ufEvxPb6r4gRGNxcRCPVRtJJIUfu487QM7RnNfblfKcI0HQwlaLk3apJa+Vtfn1P1nxf45wXHec4TFYbC+wVOhCLWl27t20+zG9odba2V7Iooor6w/JD5N/wCC33if4xeEv+CaPxG1X4KS38WoNa28GrT6bHuli0uSdEvGyOVXyS4ZhyqFjwASPz8/4NX9a+K0fx5+Jnh3TYLpvA8vhOC41iQWwMKaotyi2gMnVXML3mFH3gpJ+6K/YH9pCCG5/Z38e21xGHjk8F6orow4YG0lBBrwv/gnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK+TzDDyfFWEnzPWMtP8Kb/G+p+vcP8AHeByvwpzPh2eEUqlepGSqaWSfL8XW8OW8LdZPa2v1RRRRX1h+Qnj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nY8l/by8QfFzwr+xl8TfEnwHF5/wl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4Ffz+f8Eefij4w8EftmW5tvjHe+EdI1rR72PxXrEOsw2ZlhWJpY1eacEDNwsPT5ifYmv6Xa8e/Zk+DH7EHw18SeNb79lDw54HttU1DWMeOv+EVvYZ5I7xXlPlXCo7eQys0uIsKAd2FGK+ezzJK+aYyjUp1vZ8t+9/WOq176rQ/W+CPEHB8M8DZxk9XA+2lilG07K0b+777aekfip7+/wBr3PjP4veHf2O/ij4a8T/Ev4o/F/TvGup6P4XYf8JRqniy31C/0C3jcyRSWbIw+yyC4KsjIA7ybFJbIWvu39k/V/if4g/Zg+Heu/GuC5j8YXngrTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/BSP9n/4KfFj4rXHin4k/DTTNa1Dwv8ADSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0ri4bwdTB5ri6c6jm48qbfW6bu9Xqtj5TO84pYvhzCYZczd5S961qaXuqFPVu0tJT0jqopR927looor7M+MK+rvfR6TdSaYm65W3c264zl9p2jn3xX80v7D3j/9q3UP+CungrxlevrNx8S7/wCKIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMf0xV8Q+AvgN8G9H/byT4+aZ8OtOi8Z6l8UtWtL7xEFY3EsAsr1dnLFVG2NASoBIXk8nPyXE+HlVxGDkpNfvEtPO2vqraep+veF/HmB4Oy3OMNiMIqzxNBxi3bRpSXLK/wBiXNeSWt4rTqvt6iiivrT8hCsL4oaOviH4ca7oEmmJepfaTPby2jg4mR4yrLxycqSOK3aKzrU/a0pQva6av6lQlyTUux5N+zB4Nk0qXXvG0wnVtW+y2wWRcKVt/OO5eM9ZmBPT5e2DXrNFFcuW4JZdgYYZSvyrfa+tzXE13ia8qjVrhRRRXcYHnH7TGj/2p4R067bS1uBp+rC5SXBLW7mGWLeMeqyupJ4+etj4EeDm8B/CvTPDr+cG33N06zgB1a4uJLgqQAMYMpAHUAc8119FebTy5QzWeN5m3KKjbtZ3/r5nTLEuWFVC2zvcKKKK9I5gooooAKKKKACiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gooor0jmMf4haUuu+Ata0OTTkvEvdKuIJLSTO2ZXjZWQ455BI49a86/Ze8GPpV/r/AIzlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v/ANkz9m7U/wBoC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5jyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/AAR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNedfBT9kn9mv9nLWPEOv/A74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5rO8jxOaYulVpVnT5E1pe6v1VmtXs9VofrXBXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+5+Z43GrFqKUOVRvt5/cFFFFe4cIV4Tonw1F5+0al+NKls10zxDc6w3kKQkjyQTxb2LZ4fzi3GPmHHQivdqK83MMuWPqUZOVvZzUvW3Q6cPiXh4zSV+ZW9Aooor0jmCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/AIJs+OPB3we8JXniHXNP1PQtei8O6dHvuNUg03WLO+ntok/jkaG3k2p1Zgqjk0Aeyfsl/tefA/8AbX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/wAY/j3qPibwboHi7SJNP1EaYLGytEuZ7WTD27yyW0jbHAbaFJ6ivtGgAooooA8b/bK/bx/Zz/YN8L6B4t/aJ1/U7K18S67FpOkrpWh3F873EjKoLiFGEUYLoC7kLl1HJIFeyV8Mf8HCPizUrX/gn/c/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/wBk34RftWaF+xz8QvFOtad4s8Rajbabpt7N4Wvf7IbUbmEzW9g2o+V9mF1JGAyxb92CM4zXvtfnH+3d8a7/AONX/BVz4Q/so/FP4K/FK3+Ffww8SaT4uXxD4e+GWp6lY+JvF0h2abC97BC0NpY2QnM88rtzJhG2rGzUAfo5RRRQAUUUUAeBfs7f8FLP2Vf2oPj94i/Zm+GOu+IYvF3hzTH1N7HxD4RvtMTUtPS5Nq17ZSXMSLd24mGzzY8qSRjI5r32vzV/YO0rxT8QP+C0nxE/aT+GPwU+NOgeCtY+FE1h8QLv416Pcw/YvEQ1cSwWGjPdFitoIjO7R2zG2zsK9q/SqgAooooAjurq2sbWS9vbhIoYYy8ssjAKigZLEnoAOc15T+xj+21+z3+338IZ/jp+zN4oudZ8Mwa/eaONQudPktvNuLZlWQosgBZPmBVxwQaxP+Cl/wAP/wBoX4sfsO/ED4XfsuaJDqXjDxHpkWm2+nza4mmG5sprmKO/iS7dWW3kaza5VJCrbWZTtJGK+ev+DfLwV8e/ht+z98XPA/xt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/AOE3N4VM/wDaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R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6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP8AwUR+AX7ZHgv/AILG6p8av2f9K+MK658QB8O0+HGr+Bxc/wDCM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/8Agqp+zR8fv2nm/ZB8OeFviTofjc6Te6nb2XjT4balo8N1Z2kqxTTxS3USLJHvdQGXIJYYPNfSlfHn7JvgLxz8Vf8Agqb+0T+1/wDEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/AGjql1B5ijzIZb25RFlTKv8AZTgnFAH2HRRRQB//2Q==", "info": {"equation": "74-17=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "bcbd874e5a9b1ef72bf3f1d574aca07f55c3edc5465511f153c3fe8f68ffb8e1"} +{"episode": 67287, "episode_seed": 2916039094, "split": "train", "timestamp": "2025-10-28T03:49:20.285443", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2916039094, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 8, 4])", "action": "('move', [0, 5, 8, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "320/20=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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EPBZ3lGQZdDCyw8sJDklVilzPVRcqesb35XKV5RvOUlfS7p/8EuHmj/ZLtdK01pH8M6b4o1qy8CSvGoV9Civ5ks/LK/6yERjbG/O+NUbLAhj9E15n+xzo2k+HP2aPCfh7QNOhs7CwspLaytLdAscEMc8iJGoHRVUAAegr0yvs8si4ZdRi3e0Y6/JH5RnmMhmGc4jExjyqc5O3q3v59/M/I3/g6o8R/Fi18HfCfwtp0t6ngi8v9Rn1URR/6PLqcaxC2EjD+IRPcFVPXLkZxxJ/wTh+O8fir9iHwhp/x7/bGv7a4FlcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX3h/wAFDfhJ8Nvjf8NPCvw8+LPg+113RLrxvFJcadeFwjsmn3zIcoynhgDwa7T9kbQ9F0j9mnwZpOl6TbW9raaJHBa28MIVIo0JVEUDoAoAA9BXyWNynEY/iKtGnXlTvCL0vttbdaaX+Z+kYrjzAVfCzAcP/U17ShWnJ1NNU+Zq2jfM+e0r9IR3+zF+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfX5fg1gMFTw6d+VWv3PyjEVniK8qlrXPn3/AIKXeINe8Ofs3W9zZ6vdafok/jbQ7fxrqFpgfZ9Fe+jW5Mjn/Vwt8iSvxtieQkgZI4f9mnx18SNR8d/tAWvww1CbU7XSfDulvoiRwRSwReJfsd551vG4++/lJpjPGx+UyL03V71+1dpen65+zH8QdE1azS4tL3wbqUF1byDKyxPbOrqfYqSPxrzz/gnn8Jvhr8EfBnjD4dfCXwZZaBodr4sWSDTbBWCK8lhaM7EsSzEnuST0HQCvDxWHlLimjPnavTlp6afrf1SPq8FmmXUeFqlGdHmqqas2lytOUJNt/FzLkcErWcZvWPLaf49/8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/xGv6B6+Pf2Ofgn8Jvh7+1zr/xJ8E+AbDTde8WL4ql8R6rbq3nX7rrMJBcsSByxOFwCTkjgV9hVXCdF0cslFyb9+W/k7fpf1Z7/AIt8Y4PjjimGYYbD+xiqNOFtLtpNtu2mnNyx/uxjtsiuL+O/i6Lwr4CuIzcrFJfZgEjNgJHjMjE54AUHntkV2lfM/wC0rezfHjx9o/wU0Jpms9f1IaVezRsF8uwUNNqMmSjgboI2hXI5eVMEZyOrP8VOjgfY0n+8qvkj89G/kv0Pz3L6SnX55fDDV/I7L9iTwabT4Y3Pxf1Oz8vUfH96NWBeJBJHpwUR6fCSrNkC3VJSM8PcS8DJFezUyCCC1gS1tYUjijQLHHGoCqoGAAB0AHan16mEw1PB4aFCG0Ul9xy1qsq1Vzluwr+cX9uT4u/tK+GP+C1XinxpqnjPWNB8UaT8SRYeHtR81baSz0gyCG18st8iRNZyKcn5WErM33mr+jqvjf4y/BH4S63+3xbfHDWPAGn3Pi3SvEfhyy03XZkZpre3by9yKM7RnzHGcZwxGa+d4rw8q+FoqM3H95Faeel/Vbo/UfCrjbBcFY7HVcThVXVbDzppO2jdnZ3+xLaa3tbR2sYnhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT67MnyWpldWpUqVnUlO2r8r+bvufnOMxscVCMYwUVG+3n8kFfGn7VvjWLSP2y9bsvix4uk0vw3Y/CGG58OLfTJBabHu7r+150ZiA8qLFp4fOdiMh4D8/ZdfKv/BSz4IfCT44Xng7S/i74AsPEFtpWla5f6fBqCsyQ3KCzCyYBGeCRg5U55BrLium6mR1Wna1n66rQ9XhbE4LD5pyYuLdOcXFuKTlHZ3ipNK/u8r1XutnyP/wV78c/tMH/AIIefCi61R9Zjl1xtEh+I0slkIZXtPssjw/alUDyt86WxYYHzlVIGdtemf8ABsrq/wATNQ/YE1TT/GMNwNDsfHV5H4ReeAKrWzRxPOI2xl1Fy03POGLDPGB9QftLeD/DHxE/YaXwT430WHUtJ1ax8P22pWNxnZcRPe2QZDtIOCPQg1b/AGB/Ang74YfAmX4ffD7w5baRouk+JdQg07TbNSI4I/NzgZJJ5JJJJJJJJJNc1LDSp8UQbm3+5/JqP47+p9zjePMBivC6rkEcHGE5Yt1VJW5Yxd3ZdeZfAnt7PTyPa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/AMHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA+9meKjg8vqVpR5lFPTv6+XfyPjOB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/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+nPyw/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+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrH5POTnNy7nyv+2x4o1nS/2pvhZo3iHXJ7HwtL4f165slkdY7S51xPsqxpI5IzItnJfMidx5rAHYSvzz+y/+0h4bm8FS6vq/7b17aW9p4x1hNB0648b2FtCdMi1GZbRfJxnyjEqgZOWTBzzmvvz46/s+fBf9prwDJ8Lvj18O9P8AE+gSXUVy2m6kjFBNGSUkUqQysMkZBHDEdCQek0bw14e8O6PaeH9B0S1s7Gwto7aytLeBUjghRQqRqoGFVVAAA6AV8vjuHMXi8zqYmniXTUktr30VrbrTr6s+u/t/Klw/Rwv1e9aOjbUeWyc5Jp6tylzpSTSsoLWXNaHMfAXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9HgcNLB4SFGUnJxVrvqfKV6irVpTStfofPv8AwUu8Q694c/Zut7qz1e60/Q5/G2h2/jXULXA+z6K99GtyZHP+rgb5ElfjbE8hJAyR8uWXx40ax/ak+InhOb9rS88K6NY6XosjWFn4ssrCFdVdLhbkL5gLO4gjstwz8pIHGa/RbxT4Y8PeNvDOoeDfF2jW+o6Vq1jLZ6lp93GHiubeVCkkbqeCrKxBHoa5/wCCvwB+DX7Ovw+tfhV8Evh1pvhzw/ZSyy22mWER2K8jl3YliWZixPJJPQdABXhZtkOKzHMY4inXdNKNtL336Wa0fXXofU4DPcrwvD08JVoc1a7s7R5bScG5Nv3uaPI4pWs4zeseW0/Jf2P9E8N+IPEUHxB8J+Jf7Y0+00i8t4dWt75LqK8kuLiKSWRpkyJJC8LEkH7zNkdMfRNIiJGuyNAoHYDFLXq5Tl39l4NUOfnd27vS93fz/M+bxeJ+tVvaWttp6BXL+CfhdpXgjXtR1yyu3la+YiONkAECFtxUHvz39APcnqKK6quFw9erCpON5Qu4vtdWZjCrUhCUYvR7hRRRXQZhX5iftHfGLXvCfgn4x+IfEXxWvdC8fWvxsNppsk1zBBdWYXUbdNJjhSX5VhfTkhlDkYKNNITwxH6d1werfsv/ALPuu/HjT/2ntY+E2j3Hj7S9NNhp/iiS3zcw25EilAc4ztlkXcRuCuRnHFeHnuU1s2o04U6nI4yTv/XVdD6jhjOMsyirUljaXtE0mklF3lF3UJc21Oe07Xa0dpWs/m74YfGnSdR8TvoXgP8AawvPGGoXIBt9LfxlbahJhGzuSOEBvTPUY619k2jXD2sTXSBZTGpkVTwGxyB+NKltbxtujt0U+qoBT6eUZTXyyU5Va8qrlbfpa/dvueLjMXTxKio01G3b/hkFfGv7VfjWLSP2zdasfiv4uk0vw5Y/CGG58OLfTJBaFHu7n+150ZiA8qLFp4fOdiMh4D8/ZVcJ8cv2YvgB+0vb6LafHn4UaR4pj8O6ouo6KmqwFxa3AGNwwRkEYyhyrYGQcCtc7y6pmuXyw8JcrbT8tHs/63O/h7MMBl+OlLGxbpyi4txSc46ppx5mle65Xqvdcj4Q/Zh+Nvh7xx8CvAbfFT9sK71bVrzSrGW78Pav41sVWa4DK0CPbIFYOGETCMYIcAEdRX3h+zt4Sbwn8OQsgmD6jqNzfukwwVMr5wBgcYAIz61232S1DbhbR5z12CpK4cqyCrl+MeIq4h1Hy8uq2V09232IzXNqWYzm6dFUoyk5Wjsr30Wi0V7eiCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8mjWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwooopkBXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc5+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vefAE3gT41a1deFtA+PU3jnUtQtktbiZvFFvqNzZ2xfB2iIYjTLEksMZ719P+Hv2Xf2e/Cnxw1r9pPw78JNGtPHXiKyW01rxNFb/6TdwgRjaxzgZ8mLJABbYuScV3UdvBEd0UKKfVVAr4WnwfirONTFPlcr2Sdnre713fo9e59vnnEuV42uqmCw/LfmbbUU1KbbcY8t/ch8Mdm1d2jflT6KKK+6PiAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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", 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", "info": {"equation": "320/20=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "e4c83558d83c2048ec745ac912191dc3322bf49e16c397475f7f1f34be327d3e"} +{"episode": 67288, "episode_seed": 610830263, "split": "train", "timestamp": "2025-10-28T03:49:20.344818", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 610830263, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [2, 7, 1, 4])", "action": "('move', [2, 7, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "68-32=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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KdV0f4lw/Ep477UbkpBcWMnn/AGfaPM+SJEh+Rc/IsYGPlANf1DV8QeLfgH8GZv29b/4/z/DfTX8aL8UdJsk8RSIzXCwfYLFNgydo+Ulchc4JGcE1w8W4adenhuWbj+8UdP73X1VtPU+48JuPMBwQ8zWJwir+3oOKvbRq/uyv/wAu583v2u/djozmPEJ/Zs+OusaZ4b+JH7Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/gk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/4KKfBz4XfGn4deDvh/wDFXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0anCLwq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/AMEXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/AIOevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP8A4IjfHbxHp/wG8SeC/iH+1fq3hDQdF1qJPCmlf8Jfa2Ea+askt15aTAsV3tGxx8oZ2xyWr9nPjv4Q+C/jz4Q6/wCFP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPEU8S6d4paXurdtVo9/U/YcL4iYHD+Ev+rEsBzT9tz+1suXfmve1/a29z/r316HwLYeCfgd4P+N/wf8AiX+zXPpmpePtY+LsKSeI9IuodR1DXbK5dxrz3c4LNNGtqZZHc8QusQXZuCt+l1fEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/Bb/g5u8UfGW+/bc0Twn4vmv08Haf4Sgn8GwPHttWkkY/a5UI4aTzERWJ+YBIxwMZ/emvlX/gox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5Hu+EXF+E4J41pZliaHtY8s42VuaPMvijfS+lnqvdlI+W/2NP2gV+IH7IPgy7/aI/ba1H+2NS0Fo9d0fVPiBZQiSAySIkUsZ+cBrcRhgx3EMSTkmvu79lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPV/s8WVn/woDwN/okX/ACJ2mcCMf8+kVdqAAMAYA7Cscs4erYXGU8XVxMqnKnZNd1bdt/1Y+VzzPKWaYvEVKdCNJVZylyx2jeTlyrRaLZeQUUUV9WfOHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/AAit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXz2d5JXzPGUalOv7PlTXW/rHVa9HrsfrfBHiDguGeBs4yergfbSxSjadlaN/d99tPSPxU9/f7XufF/xq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8AE7X/ANl/4d658a4LmLxheeCdMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8FI/2f/gp8WPitceKfiT8NNM1rUPC/wANJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/SuLhvB1MHmuMpzqObjyJt9bpu71eq23Plc7zili+HMJhlzNqUpe9a1NL3VCnq3aWjnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg19DnNJ1sqrwTt7r/BX/HY5OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv8Awx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8ACH4beK/h78MvBdhouiaf41b7Hp1nFhI9+m6e7HLEkkszEkknJryLwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nP57TyrEU8Nga8q8mpzglHX3b9tenoj9DznjrA5vxpmea06MqUJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiZ8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/tM3+gan8e/g7oviq48L3jXWgy6rblzaSMULYwRuVjGhKNlW2DIOK782doTk2sZP8AuCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4V+T3jj42+J/Dv7Gmp+NfE3xdv8ARvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/AGgZP2qU+DeiD4hy2X2WTxX9m/0povKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv/AMFea6er1PpuF87yrKI1VjaPtE3CcbKLvKnzfu5X2p1Ob32rv3V7r6fLehfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkqMpyKpluLliKtd1JSXLqul77ts8PF4+OJoqnGCik76f8Mgooor6I84KKKKACiiigD80v+DnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/4IjfHbxHp/wABvEngv4h/tX6t4Q0HRdaiTwppX/CX2thGvmrJLdeWkwLFd7RscfKGdsclq/an4p/Cv4d/G74f6p8Kviz4Qs9e8O61biHVNJv490VwgYMAcYIIZVYEEEFQQQQDUXwq+Dnwu+B/w/034V/CXwNp+g+HtHiaPTdKsYcRQKzs7YzkklmZiSSSWJJJNfKZlw7i8dmjxVPEOmnFLS91botVo999+h+vYXxJyzD+FP8AqpLBKVX23tPaaWtfm5tr+0/5d7W9n16HgX7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvVyfK/7Jwroubm3Jybatq7eb7dz8sxmK+t1VPltZWsFfFPx08d3Om/t4eN7L4v8Ai5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FTnuW1c1y94enPld0/J26P+t7Hq8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8Ffsf8A7R+l3nwA8J6742/bn1W1vI45TBYah440+1Iso7qVbNZLfaDHm1WDchweTnBzX3r+ztr3iHxF4ZutS1a/ku7SSdX0+7kkLiVWG5irfxJkggjjk+ld6thYooRLOIBRgARjAFSgADAGAOwrhy3IMVgcZGvUxUqiSas721/7ef8AVjPNs3w2Y1qs6WHjSU5OSStaKbbstFtt6BRRRX0x4Z53f/smfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/AD/gjt8XvHvgX9sCPT7P436n4P0DX9Muz4x1GDXYrJbhI4ZJIDJLPlS32gpg/e+dgOGav6Wa86+Cn7JP7Nf7OWseIdf+B3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXzWd5Hic0xdKrSrOnyJrS91fqrNavZ6rQ/WuCvEbLuFuCc2ySvg1Vni0lGWllpb3762h8dOydp32vc+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z8zxuNWLUUocqjfbz+4K+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa78yws8dgalCMuVyVr/107+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9++D/AMDvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef8Agmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/wBtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/ABj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/AGTfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv8A41f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/AA//AGhfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v8A4Tc3hUz/ANpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/wDBRH4BftkeC/8Agsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/AMIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/wCCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/wCCpv7RP7X/AMQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f8AaOqXUHmKPMhlvblEWVMq/wBlOCcUAfYdFFFAH//Z", 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KdV0f4lw/Ep477UbkpBcWMnn/AGfaPM+SJEh+Rc/IsYGPlANf1DV8QeLfgH8GZv29b/4/z/DfTX8aL8UdJsk8RSIzXCwfYLFNgydo+Ulchc4JGcE1w8W4adenhuWbj+8UdP73X1VtPU+48JuPMBwQ8zWJwir+3oOKvbRq/uyv/wAu583v2u/djozmPEJ/Zs+OusaZ4b+JH7Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/gk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/4KKfBz4XfGn4deDvh/wDFXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K5soy+tgeJJwqVnUap3u+t2lZ6vY+WxOc0anCLwq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/Nr/AMEXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv9oa48cXEV9HNNE/ieDUXhVsLh/IxtjIU/eH94g17j8C/2TP2bf2Zv7b/AOFCfBvRPC3/AAkd8LvW/wCy7bb9qlG7aTknCrvfagwq7jgDJr0GOCCI5ihRSeu1QK+LwnCWOo04xeLkknflje299NV+W5+l+JniJlvHHFE8zwuD9nFwjH3rczsvilZNX15Vq/djH0T6KKK+5PyY/NL/AIOevFPxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMORGZVZgD8peNM8hQfmP8A4IjfHbxHp/wG8SeC/iH+1fq3hDQdF1qJPCmlf8Jfa2Ea+askt15aTAsV3tGxx8oZ2xyWr9nPjv4Q+C/jz4Q6/wCFP2iLDRbnwVd2J/4SKPxDOkVkIFYPvld2URhWVWD5G0qCCCAag+AfgT4D+BfhBoXhb9nPSNAg8FW1oT4fTw7Kk1m0TOzl45FLCQM7Mxbcckkkk18lmXD+Jx2bPEU8S6d4paXurdtVo9/U/YcL4iYHD+Ev+rEsBzT9tz+1suXfmve1/a29z/r316HwLYeCfgd4P+N/wf8AiX+zXPpmpePtY+LsKSeI9IuodR1DXbK5dxrz3c4LNNGtqZZHc8QusQXZuCt+l1fEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtPhGhKhhKycm/3klr5WV/n1PjuLc1p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/Bb/g5u8UfGW+/bc0Twn4vmv08Haf4Sgn8GwPHttWkkY/a5UI4aTzERWJ+YBIxwMZ/emvlX/gox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5Hu+EXF+E4J41pZliaHtY8s42VuaPMvijfS+lnqvdlI+W/2NP2gV+IH7IPgy7/aI/ba1H+2NS0Fo9d0fVPiBZQiSAySIkUsZ+cBrcRhgx3EMSTkmvu79lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPV/s8WVn/woDwN/okX/ACJ2mcCMf8+kVdqAAMAYA7Cscs4erYXGU8XVxMqnKnZNd1bdt/1Y+VzzPKWaYvEVKdCNJVZylyx2jeTlyrRaLZeQUUUV9WfOHj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/8FQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/AAl9l4MvptBbTofMuEnERO6Je7qNxXAJyBgE4FfgB/wR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/AAit7DPJHeK8p8q4VHbyGVmlxFhQDuwoxXz2d5JXzPGUalOv7PlTXW/rHVa9HrsfrfBHiDguGeBs4yergfbSxSjadlaN/d99tPSPxU9/f7XufF/xq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8AE7X/ANl/4d658a4LmLxheeCdMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8FI/2f/gp8WPitceKfiT8NNM1rUPC/wANJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/SuLhvB1MHmuMpzqObjyJt9bpu71eq23Plc7zili+HMJhlzNqUpe9a1NL3VCnq3aWjnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2W/i8Par4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFJ5AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg19DnNJ1sqrwTt7r/BX/HY5OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv+CGfxm1rw98LfG3g3xl+05f+CvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6sv8Awx8GfB3xE+HfxY/Zp1my1T4k658XbGKPxPpGoxajqevx3FzGNajupgzGeBbDzpJFPyQCKNlEfGfrD/gnp8Kfhv8ACH4beK/h78MvBdhouiaf41b7Hp1nFhI9+m6e7HLEkkszEkknJryLwB8A/gzon7eEfx60n4cabB4y1H4pataXviFUY3EkAsr1dnLbVG2NASoBIXk8nP57TyrEU8Nga8q8mpzglHX3b9tenoj9DznjrA5vxpmea06MqUJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiZ8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/tM3+gan8e/g7oviq48L3jXWgy6rblzaSMULYwRuVjGhKNlW2DIOK782doTk2sZP8AuCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4V+T3jj42+J/Dv7Gmp+NfE3xdv8ARvitL8SzHqtxc3VvDqFr4h/tpUe08uTKxRx26qqjGFtUSQHb85/WGvO0/ZM/Zuj/AGgZP2qU+DeiD4hy2X2WTxX9m/0povKEXXO3d5YEe/G7Z8uccV52fZPWzeNJU6nJySv/AMFea6er1PpuF87yrKI1VjaPtE3CcbKLvKnzfu5X2p1Ob32rv3V7r6fLehfEn4Y+K/Fdjp8f7V7+MruO5d9I0jUPHFpe/vjG6eZHFHhmkEbyL3wrtx3H1z8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6tbW1RgyW0YI6EIKkqMpyKpluLliKtd1JSXLqul77ts8PF4+OJoqnGCik76f8Mgooor6I84KKKKACiiigD80v+DnrxT8ZdE/Y68K6H4Hlv4vCer+LfJ8bSWcf7twkfmWkUzDkRmVWYA/KXjTPIUH5j/4IjfHbxHp/wABvEngv4h/tX6t4Q0HRdaiTwppX/CX2thGvmrJLdeWkwLFd7RscfKGdsclq/an4p/Cv4d/G74f6p8Kviz4Qs9e8O61biHVNJv490VwgYMAcYIIZVYEEEFQQQQDUXwq+Dnwu+B/w/034V/CXwNp+g+HtHiaPTdKsYcRQKzs7YzkklmZiSSSWJJJNfKZlw7i8dmjxVPEOmnFLS91botVo999+h+vYXxJyzD+FP8AqpLBKVX23tPaaWtfm5tr+0/5d7W9n16HgX7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvVyfK/7Jwroubm3Jybatq7eb7dz8sxmK+t1VPltZWsFfFPx08d3Om/t4eN7L4v8Ai5tN0jSfh5pk/gyDU7hLeyGnO0z6pdRsxAdxNFAszHlEjhztUgt9rV578fv2Uf2cv2prTR7H9oX4QaN4si0C9N3o6atAX+zSsAGK4IyrBV3Icq21cg4FTnuW1c1y94enPld0/J26P+t7Hq8OZjl+XYyf12LdOcXFuKTnH3oyUoqTSv7vK9V7spa9H8Ffsf8A7R+l3nwA8J6742/bn1W1vI45TBYah440+1Iso7qVbNZLfaDHm1WDchweTnBzX3r+ztr3iHxF4ZutS1a/ku7SSdX0+7kkLiVWG5irfxJkggjjk+ld6thYooRLOIBRgARjAFSgADAGAOwrhy3IMVgcZGvUxUqiSas721/7ef8AVjPNs3w2Y1qs6WHjSU5OSStaKbbstFtt6BRRRX0x4Z53f/smfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/AD/gjt8XvHvgX9sCPT7P436n4P0DX9Muz4x1GDXYrJbhI4ZJIDJLPlS32gpg/e+dgOGav6Wa86+Cn7JP7Nf7OWseIdf+B3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXzWd5Hic0xdKrSrOnyJrS91fqrNavZ6rQ/WuCvEbLuFuCc2ySvg1Vni0lGWllpb3762h8dOydp32vc+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z8zxuNWLUUocqjfbz+4K+Yv+ClHiXX9AHwmtb3W7rTfBl78SIk8YXcRCQFktJ5dPiuZCR5cL3yW45IDOI1J+YA/TtYfxK+GvgP4xeA9V+GHxP8K2mt+H9bs2tdV0q/j3RXETdVI6g5AIIwQQCCCAa78yws8dgalCMuVyVr/107+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6G/Zh0Pwj8QPF+h+I/Bnjf/hIrTR9YudRutbttUivftN00E8T+dMmVLn7QSQMHgdq9++D/AMDvhH8APh7YfCj4NeANO8PeHdM8z7DpVhDiOIu7SOfmyWLOzMSSSSa6mOOOJdsUaqPRRivmMHwpiKFSjOriXJU2pctna66K709bbHqZxnmBxWJqfU6HLBxUU3ZSajFR5pJXSlK3NJKTs3u926iiivtD5YKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8ef8Agmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/wBtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/ABj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv/AGTfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv8A41f8FXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/AA//AGhfix+w78QPhd+y5okOpeMPEemRabb6fNriaYbmymuYo7+JLt1ZbeRrNrlUkKttZlO0kYr56/4N8vBXx7+G37P3xc8D/G39ld/hRBD8f/FF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v8A4Tc3hUz/ANpfZk87zdvy+buzvxxv3V63QAUUUUAeI/Gz/goZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/wDBRH4BftkeC/8Agsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/AMIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/wCCqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/wCCpv7RP7X/AMQfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f8AaOqXUHmKPMhlvblEWVMq/wBlOCcUAfYdFFFAH//Z", "info": {"equation": "68-32=36", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "26e1cddc440e5a84095ace848d48ab2b5a8c65cd737cf7a5d77f78d551dda230"} +{"episode": 67289, "episode_seed": 2882558383, "split": "train", "timestamp": "2025-10-28T03:49:20.405347", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2882558383, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 4])", "action": "('move', [3, 0, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "58+19=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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vtRuSkFxYyef9n2jzPkiRIfkXPyLGBj5QDX9Q1fEHi34B/Bmb9vW/+P8AP8N9NfxovxR0myTxFIjNcLB9gsU2DJ2j5SVyFzgkZwTXDxbhp16eG5ZuP7xR0/vdfVW09T7jwm48wHBDzNYnCKv7eg4q9tGr+7K//LufN79rv3Y6M5jxCf2bPjrrGmeG/iR+0HZfEuOzvmuNH8NeJvGlnqVsbny3UTC1XCzSLG0gBZW2hmIAPI9o/wCCTRNt+zdrmgeHGkfwRpHxG1qy+GkxjXyn0RJUKiB1z51uly13HFISd0ca8sMMdf8A4KKfBz4XfGn4deDvh/8AFXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf8AsQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/wCClXib4xeDf2Dfin4n+AT3yeLLLwnPJpkumRb7mFcqJpIh13rCZWBHzAqCOQK9xoIDAqwBBHINfZ16brUZU07XTV1urrf5Hy+V4yOXZnQxcqaqKnOMnGW0uWSfK/J2s/Jn80v/AARv8ffEzSP2y/D/AIC8O+J7yHw5r96Z/FGmpOPJvDb29w1s7q33mSV8qV+Ybm/h3V+yf7M3xB1T/hLtb8EeEfiG97qFp44vZrnw6mppIbFJLggBoV+aKNxl/m4JZmB9Oq+J/wCyj+zl+zD4Fib4AfB/RvCh8R/EHT7vWzpNuU+1SgTbSck4Vd77UGFXc2AMmvR/2Oo0HwovJAg3HxdrOWxyf9Omr82wnDuJo5vHCOu01DmvG+3P8K1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42FZnjSfX7Xwdq114Uh8zVI9MnbTY9oO+4EbGMYPBy2ODxWnRSaurFQlyTUrXt0ezP5q/8AgmL45/aXv/8Agrv4E8UiXWLvxvqvxCkTxu13a77lreWR11Uzq4+TbCZy3A2beMFQK/pUr4j+C3wE+DXhj9uaL446B8OdOtvF2ufEvxPb6r4gRGNxcRCPVRtJJIUfu487QM7RnNfblfKcI0HQwlaLk3apJa+Vtfn1P1nxf45wXHec4TFYbC+wVOhCLWl27t20+zG9odba2V7Ir8Ff+Dm/xR8ZL/8Abb0Twl4wlv18HWHhGCbwdBJHttXklY/bJEI4eQyIisTyAkY4GM/vVXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMenn2XTzPLnQjPld07vbTo/63sed4TcY4bgbjKnmdfDOvHlnHlik5rmXxQv10s9vdcj4C/Y++MGhfEj9iLwdoP7Rn7ZV9Hcan4Xaz13w7d/EGzs42st0kUdvJGu140a2EakbgxDHJBJr3b9hHwn4D+Gn7dev+Df2c/D+naZ4VvfhVb3fjrT/DtnCthBqSXcSaS7GP8A1c8to98doxvjjSQgkhm+q/2jdL02X9nbx5ayafCY28FaojJ5YwV+ySjH0xXiH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivmKWUYjL+IMLGpiJVLqT1vpZbat6MirxRhsZgczrRpumq8nalG3slzyvd6rWnpyJR3SfMuWz+qKKKK/QD84PH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/4KheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7BRRRWpB/Or/wcE+LPjVqn/BTTxJpfxDuNRTTtHsNPj8CQzRlI009oEcvABwwa5Nxl+SWUqfugD96v2UNX+KHiD9mH4ea78bba4h8Y3ngrTJvFMV3biGVdQa1jM4dBwjeYWyo6HIr5n/4KTfAX4NfF34rz+K/id8OdO1zUPC3w0kuvD9zfozGym866beqhgrHdGhwwI+Ucda+07ElrKFmOSYlyT9K+SyTDulnuOvJvWP8A5Nd/hsvI/XuO+O8DxNwTkmV0cIqU8LBxlLTVpRj7ttbStzzv9rva7looor60/ISvq730ek3UmmJuuVt3NuuM5fado598V/NL+w94/wD2rdQ/4K6eCvGV6+s3HxLv/iiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv9iXNeSWt4rTqvt6iiivrT8hP5/wD/AIOUPFnxovP+ChEfh7xpcahF4Z0jwxZSeA43QpAI5EVrqaIjhnNyrqzfe/dIOirX2H+yz+0Fa/EH9lrwdqH7Q/7bV/NrWr+G4z4n0bVviBYxpMH3AwzRcMA0RUMpIbDHJBzX318c/wBk/wDZw/aYv9A1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/uCvjK/C+MrY+tXjinBTd9L39HqtFst9D9h4j8TMszrgXKcip4FRqYNNSnpZ6W93Rv3/AI6l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4V+T3jj42+J/Dv7Gmp+NfE3xdv9G+K0vxLMeq3FzdW8OoWviH+2lR7Ty5MrFHHbqqqMYW1RJAdvzn9Ya87T9kz9m6P9oGT9qlPg3og+Ictl9lk8V/Zv9KaLyhF1zt3eWBHvxu2fLnHFedn2T1s3jSVOpyckr/8ABXmunq9T6bhfO8qyiNVY2j7RNwnGyi7yp837uV9qdTm99q791e6+ny3oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPDxePjiaKpxgopO+n/DIKKKK+iPOOB/aO0VdZ+HqM+lrciz1KG6DEEmApuxIMemcc8YJqb9nfwe3gz4ZQ2TiYPe6heX8iTjDKZ53lxjAwPm4zziu469aK82OXJZs8dzauHJb53vc6XiW8IqFut7/KwUUUV6RzBRRRQB4T4K+G7TftDrqp0qSzXRtc1DVWWFSI3kuIrmMsxYHIc3LvwRk9OARXu1FFebleXLLaM4KXNzScrvzOnFYl4mala1kl9wV+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP701598ff2U/wBnT9qW00ex/aE+EOj+LItAvjd6OmrQFvs0pADFcEZVgq7lOVbauQcCsc9y2rmuXvD058run5O3R/1ukffeFfG2B4A4vp5ti6HtoKM42VuaPMvijfS/R6r3XI/PP9jT9oFfH/7IPgy6/aI/ba1L+2dS0Fo9d0fVPiBZQiSAySIkUsR+cBrcRhgx3EMSTkmvu39lbwtDBPrfxBtndodXs7G1tmUgxPFAbh1dCB8wP2kjOSDgY6HPra2NiihEs4gAMACMYAqUAAYAwB2Fedl/DlbB46GJq4mVTkTSTXdW6yf9WPms6z2lm2KxFWnh40lVnKfLHaN5OXKtFotl5BRRRX1J86ed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/4TfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/O4UUUV6RzBXhOifDUXn7RqX40qWzXTPENzrDeQpCSPJBPFvYtnh/OLcY+YcdCK92orzcwy5Y+pRk5W9nNS9bdDpw+JeHjNJX5lb0CiiivSOYKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACuQ+Pnx3+Ff7MXwb8Q/H342+KotE8K+FtOa91nUpUZ/KjBAAVVBZ3ZiqKiglmZQASa6+vk3/gt78Ffif8AHn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/ANtf4UH4w/AbXb2602DVrnS9TstW0qawvtMv7dgs1rdW06rJBKuVJRgDh1PQivTq+Lv+CNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/wBsr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf9z8NfDXws8deK9a8T+L9BbTbHwR4LvdYeNbLV7K9neYWsbmFfJgkKs2AzAKOTX2V8MfiBpXxX+HOh/E3QtK1awsvEGlQahaWWvaVLY3sEcsYdUnt5gskEoBw0bgMpBBAIoA3aKKKACvAviV/wUv8A2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wAFXPhD+yj8U/gr8Urf4V/DDxJpPi5fEPh74ZanqVj4m8XSHZpsL3sELQ2ljZCczzyu3MmEbasbNQB+jlFFFABRRRQB4F+zt/wUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/wDaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/AIN8vBXx7+G37P3xc8D/ABt/ZXf4UQQ/H/xRdeHtDbVDcp9nmustFATBF5ltCVWOK5UFLhAJFCjigD76ooooAK8a/bE/bp+Cv7EOm+F734u6R4v1O58Za1LpXhzSPBHhC71u+vLmO2kuXVbe0R5CFhikckDgKT2r2Wvh3/guR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/4Tc3hUz/2l9mTzvN2/L5u7O/HG/dXrdABRRRQB4j8bP8AgoZ+zF8Av2hvDP7LfjrxHrE/jPxPBBcx6doXhq81FNLtZ7j7NBdX8tvG6WMEk+Y1klKqWB5wM17dX48/8FEfgF+2R4L/AOCxuqfGr9n/AEr4wrrnxAHw7T4cav4HFz/wjPlWGovFrttr7R/uViSyeWVEn+U/aGKZfp+w1ABRRRQAV81/Av8A4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8QfBmr6ZpfhnTdH+F3wzl1jTpbf7VY20f9o6pdQeYo8yGW9uURZUyr/ZTgnFAH2HRRRQB//Z", 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", "info": {"equation": "58+19=77", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "c8dad7537dc591eaa5a541da153b859e4748eae2d46bae6102b1de641fb5d934"} +{"episode": 67290, "episode_seed": 2229504237, "split": "train", "timestamp": "2025-10-28T03:49:20.463086", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2229504237, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 0])", "action": "('move', [6, 0, 4, 0])", "reward": 0.0, "image": 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ltGCOhCCpK7cpyKpluLliKtd1JSXLqul77ts/McXj44miqcYKKTvp/wAMgrw7/gpV4m+Mfg79g34p+J/gC98niyy8JzyaXLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcah1AsLCcr1ELY/I17tem61GVNO101dbq63+ROV4yOXZnQxcqaqKnOMnGXwy5ZJ8r8naz8mfza/wDBF74n+J/Af7WU+nQ/Ga88F6Bq/h+5/wCEl1G31mCxEoiUtArTTAjPnMuAOTk9s1+jXxy0H9knx94F8YfF7xl8W7Lxf4i0bw3utfGVz4ot9R1bQmhLyWRsnjP+jSC6w0axgGWVgp352165/wAE0P2f/gr8F/HtndfCv4aaZocviH4bR3mtyWcbFryfzbQ73Lkngu5AGANxwOaj/wCCiX7P/wAFPiX8btQ+IHj74aaZq2s+FvhtaT+Hr+7jYtYyfadTfcoBCk7kRhuBwVBFfkn9l4j/AFeWK9vLl5rcmtvitff57H7lxd4iZdxL4j/2nRozw8FCKbhy+0nyq9pWaWrtG95WiovllblPq/8AZ91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9ehHkgo3vY/BMRVVfETqqKjzNuy2V3ey8lsgrwf9s/4sTeFNAOlaPZm9vLfyxaaerKDe6hO6w2dsCzKMvLIi4JH3wc8V7R4q8S6d4R0KfX9UY+VAo+VfvOxOAo9yTXzl8KtA1D43ftSr4j123Z9J8Cxf2tcs4XZcazdI8dsm0xncILczyEqy4aeA4JHHzef1XiqlLLKb96q7y8oLVv5209GduXwVKMsVJaR285HtP7Pfwjtfgh8I9I+HyXCXN7DE1xrWoLAIzfahMxlubhgCcF5XdsZOAQM4ArtKKK+jp04UqahBWSVl8jzZSc5OT3YUUUVYj5N/wCC33if4xeEv+CaPxG1X4KS38WoNa28GrT6bHuli0uSdEvGyOVXyS4ZhyqFjwASPz8/4NX9a+K0fx5+Jnh3TYLpvA8vhOC41iQWwMKaotyi2gMnVXML3mFH3gpJ+6K/YH9pCCG5/Z38e21xGHjk8F6orow4YG0lBBrwv/gnH8C/hB8APE/jbwj8GPh9p/h3TbnRtDu7m1sFbEs7SakpkZnZmY4VRyeAOK+TzDDyfFWEnzPWMtP8Kb/G+p+vcP8AHeByvwpzPh2eEUqlepGSqaWSfL8XW8OW8LdZPa2v1RRRRX1h+Qnj+qfBv9iS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/aR+Mf7VOg/wDBULxT8TvEHi/WtG+JOnfEWeC1v3kW3nskWUwQRpu+RIhblEUH5DGecqST+zngn46eEz4mjsNB/bOuvEN3eBre30m48e2d15zN/cjjAcvxxtOetfCw4ywdCVWMqDT5ntbXzltZ99z9o8RfDTMOFqGWTq49YhVqKau2+S1nyw1f7v3vcel/e0R9uUVi/Dy51u88E6bdeIg/2x7cGYyDDHk4LA9CRgn3rar7WhVVehGolbmSdnurq+p+NVIezm49nYKKKK1IP51f+DgnxZ8atU/4KaeJNL+IdxqKado9hp8fgSGaMpGmntAjl4AOGDXJuMvySylT90AfvV+yhq/xQ8Qfsw/DzXfjbbXEPjG88FaZN4piu7cQyrqDWsZnDoOEbzC2VHQ5FfM//BSb4C/Br4u/FefxX8Tvhzp2uah4W+Gkl14fub9GY2U3nXTb1UMFY7o0OGBHyjjrX2nYktZQsxyTEuSfpXyWSYd0s9x15N6x/wDJrv8ADZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8ABzD4n+MWgfsH6Zp3w9lv4vD2q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRSeQD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INe3nNJ1sqrwTt7r/BX/HY+K4Izyjw3xdgszrUlVjSqRk4vqr9L6cy3j/eSPx+/4IZ/GbWvD3wt8beDfGX7Tl/4K8O2esWs+g2EPim005JbmWOT7U4EoLOdsdtk/dHbkmvqfVvBnwN8MfEj4a/F79nO+03WPiXqfxisfsfinTL2HU9U1oXM6JrS3E4LGWJdOe4eT+GBUQqI88/Wv/BPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NeReAPgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5/PYZVXp4bA15V5NTnBKOto3101e3oj9DznjrA5vxpmea06MqMJqTUI2tUtFRUauqXLPWVS3PdtpLXmX2/RRRX6ofiYVhfFDR18Q/DjXdAk0xL1L7SZ7eW0cHEyPGVZeOTlSRxW7RWdan7WlKF7XTV/UqEuSal2PJv2YPBsmlS6942mE6tq32W2CyLhStv5x3LxnrMwJ6fL2wa9Zoorly3BLLsDDDKV+Vb7X1ua4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/wDgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5q8C/HLwpJ4nGl+Gv2yLvxLd3qtBbaTceO7S7MvO7KRxAOXAXqO2a+xPA1xrV14P0658QowvXtENxvGGJx1I7EjBI9c1ora2qMGS2jBHQhBUlGU5NiMtryq1cRKrdWs76a+bf9XPBxeMp4mmoxpqNu3/AAyCvGP+Ch/iH4l+Ff2KPiN4g+Ed1qdvrlt4fZo7vRIPNvLa2MiC6mgXBzKlsZnUgEhlBAJAFez0EBgVYAgjkGvar03Woypp2umrrdXW/wAictxccBmNHFSgpqnOMnF7S5WnyvfR2s9GfmZ8RPjT4I8IfH/4SeGPhz+0j/wjGi3fhPVW1OfRvElpbxSaQsEH2KR55N2A06xiPB/eDzMbgrEereCE8C/G+51Pwp4a+N0njfUtWs47G/vh4kt9Rura2JkCLmIYjRTJKw3LjLMSSOB9M/Ar9kv9mz9mT+2/+FB/BrRPC3/CR3ou9a/su22/apV3bSck4Vd77UGFXc2AMmvQY4IIjmKFFJ67VAr4ihwdilQjTq4p8qd+VJ8u9+r/AE3PpM3z/K6teKwFF8sI8vNNRU5NuUm5KN1dc3KvefuxW2yfRRRX3h8cZXjXwnZ+NvDk/h69maIS4ZJlGTG4OQcHr9PQ03wP4QsvA/hyHw/ZTNKIyWkmZcGRyck4HT0A9AOvWteiub6phvrX1nl9+3Lfyvexp7ap7L2V/dve3mFFFFdJmFFFFAGP8QtKXXfAWtaHJpyXiXulXEElpJnbMrxsrIcc8gkcetedfsveDH0q/wBf8ZyxTxnULeysVSRcLttmuWyOM5zcMDzj5QOCDXrtFebXy5VszpYxy/hqSt35tP6+R0wxLhhZ0bfE1r6BRRRXpHMed3/7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/AOE38Tppi6TIG1zQm0lr62UmQo7SZTJyo2+YzDjuScgV7jBEIYEhByEQLz7CnUV5uDy6OExlfEc13Vadu1lb5nTWxLrUadO1uW/zuFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Dfsw6H4R+IHi/Q/Efgzxv8A8JFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzGD4UxFCpRnVxLkqbUuWztddFd6ettj1M4zzA4rE1PqdDlg4qKbspNRio80krpSlbmklJ2b3e7dRRRX2h8sFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wAFvfgr8T/jz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wAE/wC5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/AA50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/7Jvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/wBkNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/AG7vjXf/ABq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/AIKWfsq/tQfH7xF+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==", 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", "info": {"equation": "126/7=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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", "info": {"equation": "126/7=18", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "b36abff97fedd2f3266f6e9ddd060de21987ee73950a204fb909e2d925ec84ac"} +{"episode": 67291, "episode_seed": 956756124, "split": "train", "timestamp": "2025-10-28T03:49:20.524464", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 956756124, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5, 1])", "action": "('move', [1, 5, 5, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "234/18=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "234/18=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "f5eae5c8dbec3b543c1b1234517e9bd3b0d28fe26cb84b4eca9bb55c652b0e6d"} +{"episode": 67292, "episode_seed": 983451415, "split": "train", "timestamp": "2025-10-28T03:49:20.581960", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 983451415, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [6, 4, 0, 4])", "action": "('move', [6, 4, 0, 4])", "reward": 0.0, "image": 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", 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3ADfcWZtv32r66/4J0/s4/Ar4LfFrwB4v+FXwv0vQ9U8SeALuTXL+zRzLeN5NjIdxdjgb3Ztq4GSOOBj2T/gpJ8Hfhf8AHXQvh78P/i/4Ks9f0WTxjPO+n3pcIZU0q+KPlGUggk96/N8HhZT4NrPnfxN/dbT0e/qfsPDPGeRcI+IWCx9LDOrSpRlFuSiqjc+Z86SbipQvyx97VJ6x5rR8E/4No9f+MWr/ALAt5pvxChvB4d03xfdw+BZbq2CK9mQsk4ibGZEF08/Jzht6g/LgfohXjH7Avhbw34G/ZvtPBng7RLfTdJ0rxLrtrpun2keyK3hTVboKijsAB9T1OSa9nr7rJYOnlFCLd/cj+Kv+GyPzjjbOqPEXFuNzKlSVKNWpKSiumvW3V7yfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXRjsZRy/Cyr1XZRX39kvN7HzlCjPEVVThuzxH9qr4i+J/G3iix+HnwzuR/bniHUhoXhZgiOIZGVnub4o0ih0ghjmnOD8wiRerAH6F+Ffw08KfBz4c6L8LvBFgLfS9D0+O1tEAG5go+aRyPvO7bnZurMzMeSa8O/Yx8BS+NvHOt/tLa9ZstrB9o8O+BopSp22kUwW9vApjDIZ7iEIvzHMVtGwwHOfpGvG4cwlVUZ46v/ABKz5n5R6L7v07HbmVWHOqFP4YafPqwooor6Q80KKKKAP5/v+DlDxb8cdU/b9PhL4gS6ing/SvD1nJ4At5otlq0UsEZu5oscO5uVkR2PzYiRTwq1+oH/AAQk174xeIP+CZ3gKf4yQXay2y3Ft4ce9thE8mjxvttGAABZNgwjEZZFU8jBOn/wUO/Z++C37Q3xY+HPh342/DnT/Eljp+h67c2VtqG/bFMbjSlLjYyn7pIwcjnpXsH7GFra2H7KfgGwsbaOGCDw1bxwQwoFSNFXCqqjgAAAADgAV8ZlmGlS4sxbc29E/wDwKzt8tkftfFniJl+e+FeVcP0sGoVMO/enpb3VKN421vUvzVL297+a916dRRRX2Z+KH8w3/BW7xl8d/Ev/AAUW+J118drjUk1XS/FNzZ6FFfReX9n0iOZjp4hUcCMwGOQEfeMjOcszGv1G+CHxy074l/s0eGf+Ggv259UGt694SgHi7TpfiRZWhMs0OJo2WPa0WQxBClWXPBBFd5/wUJ/Zy+BfxW+Onjv4l/En4XaXrWu+G/htZNoWpX8bM1oVTUpFKruCthwG+YHkV9nfEe1tf+FQa9J9mjLf8I3dHJQdfs7V+a4TJcTi8yxkKeJlDllra/vXu9dVsfvPHniflvEnDGT4KhgVTnh42ctNGlGNqdldRduZ3s7pdrv4X+AfhL4Z/B39uT4Q6B+yBo+m6TF4g0fUE8f6V4Qhiazu/DUNi72d7eBCQCt6bZILg/PJ9omXc43Y/RGviH/gnN+zl8C/gF8ZtHn+DXwv0vw9Jrnwwu5tXlsUcvdOs+klSzOzHALuQAQAWJxzX29Xv8GwcMlTve8pP06WX3X9Wfm/G2Z0cyzOmqcpT9nBRc52U5vmlLmlaUtubkj70vdjHXoiud+Lfhf4Y+Nfhhr/AIW+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/8HMni745eG/2JtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gH3cyxUcFgKleUeZRW3f8A4HfyObgnIa3E/FmDyulW9jKrNJT/AJba3W3vae6rq8rK63PtD9lP4Y/so/DX4QwaB+x/pHhSLwZLfT3EL+E7yO7tJrksFlczI7+Y+VCkliQEC8BQB6THBBEcxQopPUqoFfz4/wDBDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/VL4P/GYeILpvD/w6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBX8pXx7+Kf7TZ/bH174rfFjWtXsvipp/jP7TdXV5GI7mx1G3mHlKqHKoIjHGqKPkCooHygV/VrXwF8ff2cfgXr/wC1p4x+P+ufC7S7rxnp3xK8Ow2HiGeNmngRYdFVdoLbMhXYBtuRng5xXx3GWHlVw9CSk176X/gXX1VtPVn7T4NeIWX8BYrMHisIq/tqVltdOLfuu/8Ay7nze/a792OjMS98f/B/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv+Cg1z8O/2btLttN8LXvw6mvviboPh61iXTLLUFnt00qd1j+W3upYTdgqNpkihRyGwGr6a/bX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV51PKsRgeJMLCpiJVG1J3d72Sem70fU+XwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58fhL/AMHPPi7443X7XfhrwT4qn1GPwHa+Fo7rwlbtHttJrpmZbyRSOJJQRErZ5VSvADZb0v8A4JKftFeKdU/Y+sLH40/tn6z4fbSdWm07wzpc3jizszDpUUUKxKscoL7A/nKpb+FQB8oWv1Q/aG/ZY/Z6/av8MWfg39on4UaV4r03Tr37XY2+pI2bebYyF0ZCrLlWIIBweMg4GOv8PeEvC/hLQLHwr4Y8P2dhpumWcVpp9ja26pFbQRqEjjRQMKqqAAB0Ar4zE8MY2vmdXEwxLgpdr39HqtF0P2vNfFTKsw8McBwxHAJVaErub5eXS/vR0b553vNu2t976fLX7P3hjwd8Tda0G48EeMRr1hp3iP8AtW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u5+QY3F/XKily2SVrBXh3/AAUm8SfFTwh+w98QvEXwZvNWtddttKhzeaDb+be2li11Ct9PAuCfNjszcSKQCylAQCQK9xo69a9OvSdahOmnbmTV1urq116FZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8ADUx8Z6jFJI2kaZqHja0vmjlMTq0kUUWGL+U0i55wrNx3H058Df2Mv2WP2afEGu+KvgP8DdA8Mah4lcNrV1plqVa4w7OFGSRGm52OxNq9OPlGPSltbVGDJbRgjoQgr4ajwdjVhvZSxbSd7xSbj/6Ur+eh9Nm/EGT1K1OOBoNxgvjmoxnJtt6qPMly35V7zulfS/KuM/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRX2+FoLC4aFFO6ikvuVj4+rUdWrKb6tsK5H4jfCLS/iHqFrqVxqctrJAvlymKMN5keScc9CCTg8jk8GuuoqcXg8NjqDo1480X09PQdGtVoT56bsyOztILC0isbWMJFDGscajsoGAPyFSUUV0JKKsjJtt3YUUUUwCiiigDyH9pjQpbrX9B8RR6IJZLS3uLa3u0RmdfOeFni44wxhiI7krxXbfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldRRXlYfK44fNK2N523USVu1l3+R1VMU6mFhRt8N9fUKKKK9U5T83H+JWlraftFar+0t8RLnTdbs/GWu2niJNWmigm0vRArQ6QttE2B5Mlm0UkJwRNPPLyzkgVf2fP2gofGv7O3hDVPjj+3VqS+ItV8L2sniewuviFp8IM8kQMsbxBRsznBXgjJHBr7f+KP7GX7LPxr+K+hfHL4r/A7Qdd8W+GvK/sTXL+2LTW/lSmWIcEBwkhLKHDBSSRjNelGztCcm1j/AO+BXw64Ux31mrUji3FSd9L3f+LVar5n3ubcT5Ji8JGOHwv7yTjKXMoqMOWPLyUrXfI23J3UXpCNm4uUvBv2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19LlGWrKsDHDKXNa+trbu+2p8ZjMS8XXdRq1wrG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANbNFelKKkmmrpmFOpUo1FUptqSd01o01s0+jRxPwL/Zx+Bv7M/gNfhj8CPhlpfhnQlu5Lo6dp0J2vPJjfIzMSzsQqjJJOFUdAAOzjggiOYoUUnqVUCn0UoQhTgowVkui2LxOJxGMryr4ibnOTu5SbbbfVt6t+bCiiiqMQr8nr340alon/BPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz3EGTV84hSVOpycrv8A8H1VtPV6o+v4WzvKMqjVhj6LmnKE1yqLbdPn/dvmtaFTn95q7XLF8ktj5C0X4x/DzxH4I0+w+Jv7bk2pNd6VbjX9H1H4jWDW9xI0SmaGRExlC24FQRxxmvqj9l/wabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/n0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jnj4vNIYilOnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/9pmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP8AwUT/AGYP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff8Awcf+LdWl/YNi+Cng/wCEfj/xd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8ABTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/wDBGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8FRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/Ar9oPXviRFZW9/8Mpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/go34Q/aW+IX7EfxF+H/wCyFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wAFBf2X/wBvmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv8Ag31+Fn7SXwT+Lf7TPgP4rfsS/wDCoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wAFQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/ANhTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/spftcfCb9sj4eT/ABI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO//BwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/wC0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//9k=", 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", "info": {"equation": "80/16=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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"info": {"equation": "80/16=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9decb2c7ed6648a6e49f5d0c2072cb31b67eadacd255b45f97587a24add71a74"} +{"episode": 67293, "episode_seed": 3858716836, "split": "train", "timestamp": "2025-10-28T03:49:20.636191", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3858716836, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 3, 0])", "action": "('move', [2, 7, 3, 0])", "reward": 0.0, "image": 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6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez191ksHTyigm7+5F6+av+Gx+Q8S4+GZ57XxMI2Updd3ZKPNK28525pvrJthX86v8AwcJ+Lfjhrv8AwUg8R+HvitNqK6JpFhaJ4CtrqLZbrprwozywAcMGuPPDPyS0e0n5AB/RVXmnx/8A2Of2X/2p77RdT/aF+Ceh+LLjw9I76PNqtuWa33lSy5UjcpKKSjZU46Vz5/lVXN8D7CnPld09dn5P8/VH2nhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/zK/YR+JvxO+IX/BOnVfiN8bPiLf3Gtt4lg8/xJe36C4htoDpsdvK03RWjgjj+d/mGzL5OTX6K/s0eP8AW/HmrjVtJ8YnxDok9kT/AGnHercwyFCEV0kQlCxKkHb1+bjI48h+NcEEHxN+INvDCiRr8RfD6rGqgKB9n0MYA9K+yERI12xoFA6ADFfK8P5RWlmVWft3alUs1/O11evX57ng8TZzSzHF1cVGhGCruU1FbQUpc3LHRaRvZbbbC0UUV+inxoUUUUAfz/f8HKHi3446p+36fCXxAl1FPB+leHrOTwBbzRbLVopYIzdzRY4dzcrIjsfmxEinhVr9QP8AghJr3xi8Qf8ABM7wFP8AGSC7WW2W4tvDj3tsInk0eN9towAALJsGEYjLIqnkYJ0/+Ch37P3wW/aG+LHw58O/G34c6f4ksdP0PXbmyttQ37YpjcaUpcbGU/dJGDkc9K9g/YwtbWw/ZT8A2FjbRwwQeGreOCGFAqRoq4VVUcAAAAAcACvjMsw0qXFmLbm3on/4FZ2+WyP2vizxEy/PfCvKuH6WDUKmHfvT0t7qlG8ba3qX5ql7e9/Ne69Oooor7M/FD83JPiRpn2P9orU/2lfiJdabrlp4y12z8Qrqs0cE+l6IFaHSFtYmwPJks2ikhIB86eeXBZyRXafto/Ef9szTP+CFx8fwJrdp8T7j4faS3jKW3sRHfW0MgiGoysigGFhCZS7KA0Y3H5SuRX/4KE/s4/Ar4rfHTx58S/iT8LdL1rXfDfw2sm0LUr+Nma0KpqUilV3BWw4DDcDyK+0viQxPwf15mOSfDV0TnnP+jtXwmT4Gbx2Y0vaPXS/X3ru/qj9QxXE2T4XEZfj6OFUpRqU6s4SUVBKnZeyha/7uWrd0toKz5XKX4C/8G6evfGPSv+CkuiaX8Nbe7k0PUtC1CLx55FqJI49OWBnieRiP3Y+1ragMMElgvRjX9D9fEX/BOb9nP4GfAP4zaPN8Gvhhpnh6TXPhhdzavLYq5e6dZ9JKlmdmOAXcgAgZY8c19u16HBtNwyVO97yk/Tpp91/mbeMnGeC454xeYYWh7KKpwhrbmla75pWur68q1fuxj6Irnfi34X+GPjX4Ya/4W+NOnaVd+ErzSZ08Rw62yrafY9hMrSs5ARVUFi5I27d2RjNdFX5x/wDBzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB93MsVHBYCpXlHmUVt3/4HfyPkeCchrcT8WYPK6Vb2Mqs0lP8Altrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/AMENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9Uvg/8Zh4gum8P/Dr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFfylfHv4qftNt+2Pr3xW+K+tavZ/FTT/Gf2m6ubyMR3NjqNvMPKVUOVQRGONUUfIFRQPlAr+rWvEtf+Bv7A+pfth6d8T/EfhvwC/wAbVtFl057nUIRrMkSQOizLbGTdIVhVwJNhIVOCAgx87xDk9XNoUlCrycsuvW/6rp6vU/ZPB/xFwXh9XzCeIwLxPtqVlZK8eW7tK+1KV/3j1+GLsz5UvfH/AMH/AIo/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv+Cg1z8O/2btLttN8LXvw6mvviboPh61iXTLLUFnt00qd1j+W3upYTdgqNpkihRyGwGr6a/bX8P6Jrf7I/wARtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wAE9vgP8HP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXz9PKsRgeJMLCpiJVG1J3d72Sem70fU+cwXEGHhw/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+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlPzcf4laWtp+0Vqv7S3xEudN1uz8Za7aeIk1aaKCbS9ECtDpC20TYHkyWbRSQnBE088vLOSBV/Z8/aCh8a/s7eENU+OP7dWpL4i1XwvayeJ7C6+IWnwgzyRAyxvEFGzOcFeCMkcGvt/wCKP7GX7LPxr+K+hfHL4r/A7Qdd8W+GvK/sTXL+2LTW/lSmWIcEBwkhLKHDBSSRjNelGztCcm1j/wC+BXw64Ux31mrUji3FSd9L3f8Ai1Wq+Z97m3E+SYvCRjh8L+8k4ylzKKjDljy8lK13yNtyd1F6QjZuLlLwb9lbwdpOo+MLf4maDMH02y8MSadpktpIr2s0NxJaygo4zvwtsmCDjDc5yDXvtIqqg2qoAHQAUtfS5RlqyrAxwylzWvra27vtqfGYzEvF13UatcKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDWzRXpSipJpq6ZhTqVKNRVKbakndNaNNbNPo0cT8C/wBnH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQKfRShCFOCjBWS6LYvE4nEYyvKviJuc5O7lJttt9W3q35sKKKKoxCv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPnuIMmr5xCkqdTk5Hfr9+nVdPV6o/YPCPxKy3w5r46eMwft1XpqK2umr+67/8u539+137sfdZ8h6P8Y/h34j8FWFh8TP23JtSa70uAa9o+pfEawa3uJGjUzQyImMoW3AqCOOM19T/ALL/AINNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/AM+kX/fsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M/NsXmkMRRlThSUFJ3023vtYKKKK+pPICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooqDVbSXUNMubCG5aF54HjSZOsZZSAw9xnNAHzx+zv/wAFXf2Iv2pf2hNT/Zl+DfxOu77xLYLfNYyXWhXVtYa2tlN5N4dOu5UEN6IJDtk8pm28nkAmvo6vxU/4JW/s3/tM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/wDg4/8AFurS/sGxfBTwf8I/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/ZA/wCCmX7KX7b3jjxJ8MPgrr3iC28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E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuslg6eUUE3f3IvXzV/wANj8h4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4/8A7HP7L/7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/yqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8E/8A9pTxH4s/ZC8G638e/wBunW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzIUUUUAfz/AH/Byh4t+OOqft+nwl8QJdRTwfpXh6zk8AW80Wy1aKWCM3c0WOHc3KyI7H5sRIp4Va/UD/ghJr3xi8Qf8EzvAU/xkgu1ltluLbw497bCJ5NHjfbaMAACybBhGIyyKp5GCdP/AIKHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAK+MyzDSpcWYtubeif/AIFZ2+WyP2vizxEy/PfCvKuH6WDUKmHfvT0t7qlG8ba3qX5ql7e9/Ne69Oooor7M/FD83JPiRpn2P9orU/2lfiJdabrlp4y12z8Qrqs0cE+l6IFaHSFtYmwPJks2ikhIB86eeXBZyRXafto/Ef8AbM0z/ghcfH8Ca3afE+4+H2kt4ylt7ER31tDIIhqMrIoBhYQmUuygNGNx+UrkV/8AgoT+zj8Cvit8dPHnxL+JPwt0vWtd8N/DaybQtSv42ZrQqmpSKVXcFbDgMNwPIr7S+JDE/B/XmY5J8NXROec/6O1fCZPgZvHZjS9o9dL9feu7+qP1DFcTZPhcRl+Po4VSlGpTqzhJRUEqdl7KFr/u5at3S2grPlcpfgL/AMG6evfGPSv+CkuiaX8Nbe7k0PUtC1CLx55FqJI49OWBnieRiP3Y+1ragMMElgvRjX9D9fEX/BOb9nP4GfAP4zaPN8Gvhhpnh6TXPhhdzavLYq5e6dZ9JKlmdmOAXcgAgZY8c19u16HBtNwyVO97yk/Tpp91/mbeMnGeC454xeYYWh7KKpwhrbmla75pWur68q1fuxj6Irnfi34X+GPjX4Ya/wCFvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/BzJ4u+OXhv9ibRdM+G0+oweF9W8ULbePZ7CP5Tb7N1vFM45SJ5gM9mYIpPIB93MsVHBYCpXlHmUVt3/AOB38j5HgnIa3E/FmDyulW9jKrNJT/ltrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/wQ1+N3jjwn4u8X/DvXP2j9U8FeBhpX9oC3i8TW+nwSaq0sMaspnBy5hWTITqEXd0Wv1S+D/wAZh4gum8P/AA6/aOuvGt5HcLcGIeJ4NRmizhACIORGfRhjJNfJ4fjTBRw8Y+wknorRSt8v008j6nxE4DxvDHF+JwNXF+3aal7STfO+ZKXv3v72uur79bH1/RTIDM0CNcKBIUHmBegOOcU+vuU7q5+XBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rxLX/gb+wPqX7YenfE/wAR+G/AL/G1bRZdOe51CEazJEkDosy2xk3SFYVcCTYSFTggIMfO8Q5PVzaFJQq8nLLr1v8Aqunq9T9k8H/EXBeH1fMJ4jAvE+2pWVkrx5bu0r7UpX/ePX4YuzPlS98f/B/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv8AgoNc/Dv9m7S7bTfC178Opr74m6D4etYl0yy1BZ7dNKndY/lt7qWE3YKjaZIoUchsBq+mv21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wAHP2e/in488HfBP4d6d4b0y58P6LdXNrpyNiWY3OqLvZnZmY7VUDJ4A4xXz9PKsRgeJMLCpiJVG1J3d72Sem70fU+cwXEGHhw/jY8slzpxVJW9ledk5y1+KFk4JQfvRi3Jctn9WUUUV+hn58FFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCvA/wDgqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a9CvSdahKmnbmTV1urrdehtlOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfzBf8Ervi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP8A6Uvnofqnih4m5Zx1xLHMcJgvZxjCMLy5eeTV227JrS/LHV6JPS9lxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfj9Wo6tWU31bYUUUVuZhRRRQAUUUUAFFFFAHkP7TGhS3Wv6D4ij0QSyWlvcW1vdojM6+c8LPFxxhjDER3JXiu2+CfglPhx8JPD3gaOSZhpmlRQ5uCN/A5zgAZ59K6iivKw+Vxw+aVsbztuokrdrLv8AI6qmKdTCwo2+G+vqFFFFeqcp+bj/ABK0tbT9orVf2lviJc6brdn4y1208RJq00UE2l6IFaHSFtomwPJks2ikhOCJp55eWckCr+z5+0FD41/Z28Iap8cf26tSXxFqvhe1k8T2F18QtPhBnkiBljeIKNmc4K8EZI4Nfb/xR/Yy/ZZ+NfxX0L45fFf4HaDrvi3w15X9ia5f2xaa38qUyxDggOEkJZQ4YKSSMZr0o2doTk2sf/fAr4dcKY76zVqRxbipO+l7v/FqtV8z73NuJ8kxeEjHD4X95JxlLmUVGHLHl5KVrvkbbk7qL0hGzcXKXg37K3g7SdR8YW/xM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU+MxmJeLruo1a4VjfEL4e+Cfix4H1X4a/Ejwxaa1oOt2T2mq6Xfxb4rmFxhlYfqCMEEAgggGtmivSlFSTTV0zCnUqUaiqU21JO6a0aa2afRo4n4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBT6KUIQpwUYKyXRbF4nE4jGV5V8RNznJ3cpNttvq29W/NhRRRVGIV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox89xBk1fOIUlTqcnI79fv06rp6vVH7B4R+JWW+HNfHTxmD9uq9NRW101f3Xf/AJdzv79rv3Y+6z5D0f4x/DvxH4KsLD4mftuTak13pcA17R9S+I1g1vcSNGpmhkRMZQtuBUEccZr6n/Zf8Gm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/59Iv+/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ+bYvNIYijKnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf8A4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wAErf2b/wBpmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP/BRP9mD/AIJ+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8HH/i3Vpf2DYvgp4P+Efj/wAXeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/8EZvijrH7Vf7ZfxY/bW/aM+DfxN8H/FnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/wAFRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/AAK/aD174kRWVvf/AAyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/8Ago34Q/aW+IX7EfxF+H/7IUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv/BQX9l/9vmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/2FPAn7TOl/tE694v8ACEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP8A7KX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO/8AwcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//Z", "info": {"equation": "75-70=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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"info": {"equation": "75-70=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ff14b6fd3200d2041a0397cac45ba07d87df7f7be8643311fa8dc1eb1b9acd74"} +{"episode": 67294, "episode_seed": 456233989, "split": "train", "timestamp": "2025-10-28T03:49:20.691505", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 456233989, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [3, 1, 0, 4])", "action": "('move', [3, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "67-63=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "67-63=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9012bf0640b6dc31df0b0caef323c8be35ae9de191ca2838a52fa0975b66cb56"} +{"episode": 67295, "episode_seed": 4293199635, "split": "train", "timestamp": "2025-10-28T03:49:20.768441", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4293199635, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 1])", "action": "('move', [1, 0, 8, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11+12*6=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Jr0XxhbTkhktQWTw5houEIwIf7MJfcP4SX6nNfvVXyfrPwe+F7/8ABSKD44v4Ism8XR61BpkevsrGdLQ6E7GIc7QCSeQM4JGcHFfO8RUXVWFak1arDbzf6H6R4ccX4ThP+01Xw6q/WMNUpLbRytvf7L+0lq7I+sK8T/4KQa/8T/C37B3xY8Q/BqS8TxJaeCL6TTpdPTdPF+7PmSRjrvWLewI5BGRyBXtlNliiniaCeNXR1KujjIYHqCO4r3q9N1qMqadrpq/a63PgssxkcvzKhipQU1TnGTi9pcsk+V+TtZn8+P8AwRI8Y+OJ7P4qeBbrxHdf8IzZeBr/AFC109pl8q3vpRDHJOoPKs0cUYJ6YjXPQV+2v7JnjTUvHPhaXWovGLeIdKe3t/sWsm9W5W4YKVZllT5XJ2jcV4z6Zrx/49fs6/BD9mXwZZfD/wCAfw00zwto0+g+Jb6bT9KiKo9xItiHkOSSSQqjrwFAGAAK+t7NES0iVFCgRjAAwOlfDZBktfB5tOMqz/dct0r2lzRduv2emn3H3/iVxfguMc+r5rhsP7OFd6J25lyKMbu2l5Wu7Pru9ySiiivvj8yPk7/guB4g+KHhr/gmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/4NbtV+It3+yV480rXorj/AIRq08cKfDsksACGZ7ZDdKjdWAIgJHQFj6mv0E/aa06x1j9nHx9pGqWqz2t34N1OC5gf7skb2sisp9iCR+NcB/wT9+F/w8+DXwr1/wCHXws8I2eh6HYeL5fsmm2KkRxl7Ozdj8xJJLMxJJJ5r5yvRb4oo1OZ/wAOWnTR/wD234I/S8DxfhMN4VYvhx4ZOpUxEKiqaaJRWne65bLpyzlt193r8V/+Dp3xT8WbP41fCnQhd39v4Qg8O3N9pbxApCdWFyVmYOOsiQi2xn7okyPvGv2or5c/4KY/Bz4XfGbRvC2lfFXwPY69a6VDq2o6fb36sUhuo7ePZLgEZI3Hg5U55Bq+KabqZHVs7Ws/xRz+FnFGF4O42w+aYij7WMVNNK1/eg1eN9Lq/wB1zwz9mL4yWXxI+Gfw9vPib+1Tc+KPGF54fsbq98O6l4ytLg/2m9qDLi2iw3mKWkG0Z25PHFfe3wo8MDwX8M9B8KBpD/Z+lQQnzsb8hB1wBzV3wnb2/wDwjOmzeQm42EJ3BBnOwVp0ZPktXLa861Wu6jkktVslr1bPk81zOGY1ZShSVNOTlaOyv0Wi0WwVzvxZg0yf4d6qNWbES2xZWCgkSAjZjPfdj866KvGP2wviReeHfBsvh/w3aNd6nsWSC0XpNcO3l20WcHG6ZkyccDnkV153iYYbK6rkr3XKl3ctEjjwNOVXFRS0s737JanG/sS674a8ZfGv4hau8ZOpaPbWelaU8sceGslkm+0SQsHLMGvEkikBVcG1i69a+ma+ZfCHwfuv2cPjF4DtPD1150FnpraZq880kate290qtPKW8sZf7bFHNgbPlZ+5Cn6arj4akqeXvCyVp0m4yXzun80zbM1zYj2qd1NJr/L5EOoNcpYTvZLmYQsYRjq2Dj9a/nO/4JnfGL4xaR/wUi8Ra78WPjJq3g/VNfXWR8RdWn1WHT52uA7SNFK8wwh+1rGNg5yNo4zX9G9fJ/7L3wZ+FXg39tHxp8SPC/gOwste8Uy+Jm8Q6rGhMt8Y9YgCbyxIGAeigA9TmuXiXB1MZiMJGFRwbk1ddLq9912t8z77gTjPBcNcO51ga+FVV4ulGMW7e602tb9Pe5lb7UI+q8c8M6f8KLb9ob4dfFz4J+NLfxN8QNd+J1rZap4otdXh1PUdUsGtdmoW9zKhObeKxjV9gAWIwwsAGbLfonXyjafBn4VWn/BSab43W3gSwTxbPrn9my68EPnm0HhsMIuu0DIHIAPGM4r6urThfDzw1DEQlNyaqyV31tbXrv1PmOJcyp4+ng4xcnyUkm5bq7b5I6v3IbR26u0b2Ud5a2l9aS2WoW0c0E0bJPDMgZHQjBVgeCCMgg15z+y18M/2V/ht8JofDv7I2keFYfBzX9xNCfCl5HdWj3JfEzeajuGcMu0/MSNoXgAAcT/wVS8QfFDwt/wTu+LmvfBuS8TX7fwhOYJdPj3TRW5ZVupE7grbmZtw5XG4cgV+Sf8AwQt+MuteG/Bfj7wR4t/ac1LwT4atb6zutGsIvFdtp8Ul5Ksi3LqJgSx2RW+ccDA7mqzjPsPlGOpwqUnK8W7q11rsr+muvY+myDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b//AAc6a/8AE/Sf2GNA0rwhJeJ4f1Pxzbw+LWtkyjRLDLJbpKR0QzojDsXRO+AfDv8Agmh4/wDB/j79gDQfhr+0L+01NBpksl5pp8E3/ja1s7WfTFmKpbyQZWQxP86lSw3qSOVPP6X/ALd3w/8ABnxU/Zzvvh58Q/DsGraJquuaTDqOm3O7y54/7Qgba20g9VB4I6Vxuk/DrwJaf8E19Y+Gtr4Tso9ATwxrGmJpUcWIls/tFxF5IA5C+X8vXOO9fI5zltbGZ3U5Kzh+65tOqTa5d1o9/wBD9UwfHGDpeG2FyH6tarTxTqe1VrpOOjWz51e2692Mde1H/gmfpGj+FX+LPgr4d6Zb2fgrTPH6DQrSwtY47O2vJLC2k1GG38vjYtyxLKOElaRBjaVX6irw/wDYG+G/gP4RfB/VPh18MvCtpomh6Z4quksNMslIjhDRQu2MkkkszMSSSSTXuFfSZBFwyXDq9/dT+/X8Nj4DiXGU8dnlatC9rpXfxS5Uo80rN+9O3NLV+83q93+In/B0R4x+L+mftT/DHTU1HUbTwzp/hJtQ8OSw5jjXVftji5kRxyZVRLP3UFSMbjn6S8E6t8GP2jfhb4L0z9pv9oCz+IGotodrqGpeFvFXjGyurWPUTYkXEptUKjfGslxjORGCzDBUMPt39or4Y/spfEa+8GTftO6N4UurjS/FME3gc+J7uOFv7WP+qS3DuvmyttH7obt+0ZU4GON/4KDfB34XfGj4ZeGvAXxV8D2OuaPceM4pZtPvFYI7pY3rITsIPDAHrXzGeZFiL4rGLENRavyq+tls9V8tHofpNTj3BY/hvI8nWGlRlhXUTrRS5nzy3p6xu7azvKN5dTT/AOCc93rd5+xR8P21qS6eOLSZINGlvYBHJLpMdzLHpzkDg7rJbZg38QIY8mva64z9nG3t7P8AZ88DWlpAkUUPhDTUiijUKqKLWMBQBwAAMYrs6+1wcPZ4OnG97RSv8j8pzXFRx2aV8TGPKpzlK3bmk3bptewV5D+094EbxxqWi6Z/Zzn7ZBcaeLyAEyRrM0ZdR1A4QNyP4D2Br16issywKzHByw7lypta+jT/AEOfDV3hqyqJXtf8VYKKKK7jAK8h1HwL/aX7UFtrf9nSQi2nXUXmiU4nK2T2wZicjo+3jH3B7169RXBjsCsd7K8rck4z9eXob0K7oc2l+ZNfeFFFFd5geR/tUeCT42g0nTBpzubqK708XUCkyRC4EYZR1AzsB5HVPrXrcaCONYweFAAzS0VwYfAqhja2I5r+05dO3Krfib1K7qUIU7fDf53YUUUV3mBifEnSxrfw+1vRm09btbvSp4XtWBxKrRlSvHPIJ6Vy/wCzX4ZfQPBF7qEglDaxq73pWUYx+5ihGOOhEIPPqe2K9DorhngVPMYYvm+GLjb1ad/wN1XccM6Nt2nf0Cvj39tvxnb6F+0+1l8TPFkuleF7f4N3l1o7XMiRWzzG7canKrNjfNFAlh8pztSUnHzGvsKuK+NP7OXwM/aLtNGsPjh8MdK8TQ+HtYj1XRo9UhLi1u4wQsi4IzwTlTlW7g4FYZ1l9TNMvlh4S5W7a9NHfU9Xh/H4HL8w58ZFum4uL5UnJX6x5rK99HqtGz4s/ZM/aCuNe+G/gi4139sDUda8Var4YsxfaBeeMrOSR7p7dGdRbRAMsgIPyj7uCMcV99+HJdQm8P2M2rLtuntIzcAjo5Ubv1q0trbI29bdAw6EIM0+ufKMnxGW1Jzq4iVXmSWt9LerZhmmY0swrOdOiqacm7R2V+i0WiCuc1H4baXqPxAtPH8t04ltodptwg2uwyFbPUYBPHsPQ56OivWr4ahiVFVY3s1Jeq2Z5tOrUpNuLtdW+TOc8YfDfS/GGv6Xr95dPG2my7mjVQRMoIYKT2+YDn0JHuOjooopYahRqzqQjaU2m33srL8AlVqTioyei2IdSa7TTp3sF3TiFzCuOr4OP1xX5c+F/jk2jWHwP/tr9o/UfDOua3Z6zJ4/vH1u1sbt5vIaS+W6aUHyXXVFjTYADuDJj5SB+plcR4D/AGbfgR8MPiN4q+LfgD4W6TpXiTxtPHN4q1i1t8TajIm7azkkgHLMTtA3E5OTzXj53k9fNZ0XSqunyN6q99VurNa9N9mz6TIs4y3LcDiaWJo88ppcmitflnG0m9Ulz86aT96EVbXmj4l+ylH4U+IXxBsvFnhX4mN4uGl3893qGuLrMN+8twbNrYJNLF8uRHIgC8HCL75+pKbHFFENsUaqPRRinV1ZRlksrw0qUqjm3Jybe93bzfbueHjMUsXVUlHlSVrEd3aWt/ay2F9bRzQTxtHNDKgZJEIwVYHggg4INcf8EP2dvgh+zb4FT4Z/Av4aaX4a0JLuW6Gm6dCQhmkILyEsSSTgDJPRQBwAK7SivTcIOak1quvXUzjicTDDyoRm1CTTcbvlbjeza2bV3Zva7tuIqqihEUADoAKWiiqMD5x/4KAeINa0fXPhJYXGrXFl4bv/AB5JHrUkZVYZrpdPuWsIJnP3Ua5ClR/FKkS8kgH5g+Cfxy8CeJ9J8Tad4p/bBlXSP+E+1m20nw/ceNbG3tZ9PF2wWPyRhnhZzKAc5dcHJBBr9Cfi58IPhn8evh3qXwm+MPgyy8QeHNXjRNS0m/QmKcI6yLnBBBV0VgQQQVBFXvB/gXwd4A8KaZ4G8F+GrPTdI0awhstL0+1gCx21vEgSONB2CqoA+lfKZnw7isfmMsRDEOmnFLS9/TdadfU+to57llLIKeGdC9aLtdqPLy80pc1/i525cr0soxWrvaPL/s4+GH8OeAprqUSh9W1SW+ZZRjG5UQYGBwRGDz6+mK76iivocFhlg8HToJ35ElfvZHy9eq61aVRq13c/ET/g6I8Y/F/TP2p/hjpqajqNp4Z0/wAJNqHhyWHMca6r9scXMiOOTKqJZ+6gqRjcc/Wf7P3xa0v4jeD/AAS3jr9qO48WeLbrQrS5ufD9/wCMLO6ZdSezHnlLaEBvMXfMMDO0FuOOPtP4wfs5fA34/wB14evPjP8ADHSvEcvhPWU1Xw6+pQlzY3aYIkXBGegypyp2jIOBXZLa2yNvS3QEdCEGa+YxvC+JxuNrVViXGNS2iu76Ws9UrLpvofpuceIOAzHgzKcmp4NRqYNVOaenvc8rrl0ur7zvvLVGP8NfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiivrqcFTgororH5dJ80mwoooqxBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXjfx2/b2/Zi/Zv+O/gP8AZw+LXjmew8VfEa4EXh+2h0ueaGPfMlvC91NGpS1SW4kSCNpSoklYIMmvZK/M7/gqr8E/jf4x/b+8O6Z4E+D3ijXrH4p+HPAWiaX4l0fSXnsPD9xoPjlNbv5L6ZfltE+xMZI2fAkeIouWwKAP0xooooAK8u8AftifA34mftO+Nv2Q/CGs6hP40+H2lWWoeJraXSJ4raKG6z5XlzuoSY8fMEJ2ngnIIHqNfF3gf4rR3f8AwXS8b+HF+FnxBitJPgbo+gReKbnwJfx6HLf219f6hLGmomP7O4EF5AAQ2DJvjHzIRQB9o0UUUAMnnitYHubiQLHGhZ2PQADJNeQ/sjft2fs7ftu2fie4+A+vatNP4P1aOw1/Tte8PXWmXdu0sQmt5vJuo0cwzRMJIpANrryK9euJlt7d7h0ZhGhYqi5JAGcADqfaviH/AII3fE7UP2h/E3x0/ak+Ivwt8f8AhDx1498cW02q6D418CX2jRaXo1pFLZ6PZW8l1Ei3rrbQPPPLHkLLeFeAFyAfcNFFFAHM/GT4teEfgT8L9a+Lvjsag2k6DZG5u4tI0ua+u5RkKscNvArSTSMzKqoilmZgAKx/2Y/2lvhL+178E9H/AGgPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/av8V6H4L/Zv8Z694o8M+NdX0saFNb6nZfDi3nl137NPiCWWyW2ZZvOjSRpVMJ81fLymWAB8V/4IpeBvH3w4/4J0eDfCnj7wdr2gmPV9en0DTvFll9n1gaPNrF5Np8moIQGF49q8Mkpcby7kv8AMWoA+rKKKKAPOP2tf2r/AIJ/sR/ADXv2mP2hvEkuleE/DiwHUbq3tHuJS008cESRxIC0jtJIihQM856CvQrK7g1Czhv7YkxzxLJGSMEqwyP0Nfn/AP8ABxj8GP2pPjZ+xgNF/Z8+BP8AwsTStLtNav8AxRoFtrAtrtJP7Knt7K6ghEUr3zwyXEky2qKGkkjiwylefub4VXXii++F/hu98b+Gk0XWptBs31fR4r0XK2N0YUMsAmCqJQj7l3hV3bc4GcUAb9FFFAHjvxM/bg+Dvws/ah8Mfsh6x4f8Z6j4v8VabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/wAFDvCXjH/h5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv9tf4A/EL9qPxL+yB4Q1zU73xh4RsVn154tBuf7Nt5CkMjWn27Z9na6WK4gkaAPvVJVYjrj1mvzF/YZ+DH7Uvwf/4LW/F2KWx+J1v4R1/xJ4t8QeK5dVM//CIXlhero0mhSWG79y1+JBqMcxT94Eh2v8ojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/2/PgZ+3HL4usvhDovjTS77wPf2tn4k0rxx4LvNEu7WW4hM8IMN2iOd0eH6dGU9GGfbq+Yf+CXXgzxd/wAIP8Uv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/wCCxfhLxp45/wCCc/xC8L+B/Bes+IJrhtJbU9L8N2TXGqNpaatZyahJYxqCxvI7RbiSEp84ljQp8wWgD2H9mz9oz4WftZfBbRfj58GNWurzw9rqzi1a/wBPltLiGWGeS3ngmglVXhljmikjdGAKshFd1Xy//wAEbvCXi/wR/wAE8/Bfh3xf4K13w+I9T12XRNO8V2TW+r/2TLrN7Lp82oI4Di8ltHglmMn7xpJGZ/mLV9QUAFeO/tift4/s0/sIeHNB8UftI+MrrSrbxHqzWGmLYaTPeyHZE009w6QIzR28EStJLMwCRoMsRkV7FX54/wDBxD8BPHnxi/Z/8M33wXT4gnx4ya/4W8OQ+B/Ao12G/j1zS5LG4sb7Lr/Z8Ey7B9vOVg2EkZZaAP0Lt7iC7t0u7WZJIpUDxyRsCrqRkEEdQRT6wPhV4WvvA3wv8N+CdUuVmudH0CzsbiZTkSSRQJGzAn1Kk1v0Af/Z", 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", 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", "info": {"equation": "11+12*6=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "9ad21e9ea6d65555131816f41bb360dd420e6199468f0ea73aa5185c49742ebb"} +{"episode": 67296, "episode_seed": 1264694318, "split": "train", "timestamp": "2025-10-28T03:49:20.831047", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1264694318, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in \u2026 and give the final result in \u2026.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "('move', [0, 5, 6, 4])", "action": "('move', [0, 5, 6, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "39+44=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "39+44=83", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "d7259fe104452483c8e2b1db4bd107d7b6ce3447211ac8cc356f72939622e7bd"} +{"episode": 67297, "episode_seed": 645523959, "split": "train", "timestamp": "2025-10-28T03:49:20.904782", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 645523959, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 0])", "action": "('move', [1, 1, 8, 0])", "reward": 0.0, "image": 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", "info": {"equation": "16+14*4=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+14*4=72", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "0e63044be314f8af33fc9e6ad99bab67c97488df3d1c7816fd250119d186dc95"} +{"episode": 67298, "episode_seed": 2409165491, "split": "train", "timestamp": "2025-10-28T03:49:20.961432", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2409165491, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 5, 6])", "action": "('move', [6, 4, 5, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "94-5=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "('stop', 'stop')", "action": "('stop', 'stop')", "reward": 1.0, "image": 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3+HX7avha88LfE+78KWmrPJZeJ9YttShtSNNYCWUNNMCqAtFGc9SVAHJwf151q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk19e/A79jP9ln9mrxDr3iv4EfA3QfDGoeJpA2t3WmWpVrjDs4UbiRGm52OxNq9OPlGPNP8AgpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevznF8MYzL8oqTliXaKbcVflf4/ofsvHPidlfHXG1DMMLQlhoqEYOa5XV68zspRT+JxS51eK1avZc9/wSJEemfDz4j+Dfh+zv8L9D+I91bfDCSNFNqLRoYpb2K0lXPn26ag92iPlhwQGOOPrmvGP2BfCvhvwL+zdaeC/Buh22maTpXiXXbXTdPs49kVvCmq3QVFHYAfiepyTXs9fb5LTdPKKEW7+5H8Vf8Nkfk3EuPhmme18TCNlKXXd2SXNJ9ZztzTfWTbCv51f+DhPxb8cNd/4KQeI/D3xWm1FdE0iwtE8BW11Fst1014UZ5YAOGDXHnhn5JaPaT8gA/oqrzT4//sc/sv8A7U99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdKwz/ACqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8ABP8A/aU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8ABe/xd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/8Agi58U/F3w/8A2p7jQ7P4z3ngrwzq+hzt4nvrXWLewWUQoxtlaWYEA+c4wq8nce2cf0h63peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yCvmOZ069OvyWVut1/h1W99dT9r4T8S8DkPhhmPD1TL/AGs60rqpZcq5kl+8bTfNDlvT317Wu/lLX/DH7I/x818aj8WviroXxSu9N0e6jtovGHi611SPTLNgDcyxRBgkGQF3z7QyhE+ddor6B/4JTa94z1/9ka1fxHqep3+jWfifVrPwDqOrpie78ORXTpp8m7rInkgKkh5aNUOSCGOB/wAFCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNXB8R4inOq5uMVdvrez11e2y1Pj8yzujX4QpYRc0pSne0rclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/AL4FfzIf8FX/AIgftC6l/wAFJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Cvzj/4OZPFvxx8OfsTaLpfw2m1GHwvq3ihbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0cryD9vLw1oPjP8AZT8UeEfFOlx32mapJp9pqFnNnZPDJqFsrocEHBUkcEHmozii6+VVoKVvdeq8tfx2fkfRcEZ7R4Z4uwWaVqKqxpVFJxfXpdX05lfmi+kkmfiP/wAEMPi/4o8G+PPGvg3Vv2gb7wP4Pm0dL2f7P4httOS41MTRxxfPMCXPk+d8q8YAJ/hr7y8e/D79h/41WviPxt8aPH3h34hzxeHxBq/iDxP4ottTuNK05WJUROGC2iiQlgyBSztgk5xX0D/wTv8Agl8JPgZ4m8feAvhF8P8ATtA0dYNIuPsNjGdplf7ZudixLMxCqMknhQOgArhv+Cgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+aVsqxEOG44t15OOnua2V5W7289j9J4k47wHEniRWzKjTnhYSsuanb2rUYrV2lFXk0rvmdtNJW19y/4Jza58VPEn7D/AMNdZ+NC33/CQzeHE+0PqloILmW3DutrJLGANsj2whdsgHLHIByK9rrnPg8xb4SeFmY5J8OWJJP/AF7pXR1+r4eDpYeEG72SV3u7Ldn4zmeLjj8yrYmMFBVJykox2jzNvlXkr2XkFfylfHv4qftNt+2Pr3xW+K+tavZ/FTT/ABn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rxLX/AIG/sD6l+2Hp3xP8R+G/AL/G1bRZdOe51CEazJEkDosy2xk3SFYVcCTYSFTggIMeFxDk9XNoUlCrycsuvW/6rp6vU/V/B/xFwXh9XzCeIwLxPtqVlZK8eW7tK+1KV/3j1+GLsz5UvfH/AMH/AIo/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wAFFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/8AbX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/AAc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfPwyrEYHiTCwqYiVRtSd3e+iemrej6nzmC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf+Dnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/wSU/aK8U6p+x9YWPxp/bP1nw+2k6tNp3hnS5vHFnZmHSoooViVY5QX2B/OVS38KgD5Qtfqh+0N+yx+z1+1f4Ys/Bv7RPwo0rxXpunXv2uxt9SRs282xkLoyFWXKsQQDg8ZBwMdf4e8JeF/CWgWPhXwx4fs7DTdMs4rTT7G1t1SK2gjUJHGigYVVUAADoBXxmJ4YxtfM6uJhiXBS7Xv6PVaLoftea+KmVZh4Y4DhiOASq0JXc3y8ul/ejo3zzvebdtb730+Wv2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYKKKK9g4wrzD9p7Qhquh6NqjaOtwNM1J547nBLWztC8W4Y4AKSOpJ9R616fRXDmWD/tDAzw/Ny8ytfexvhq31evGpa9jiP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UVvhaCwuGhRTuopL7lYirUdWrKb6tsKKKK3MwooooAKKKKAPjL/gvf4v+Ofgz/gm34r1D4GTajDJc39raeKrrS4t0sGjSF1uSSPmRCfLR2XojtnCliPyE/4It/GPx78Pv2mLnwdZ/HXUvBXg/WNInn8US2uuw2EMrwxv9mLPNldwkkAG35iGI6Zx/SBrGkaV4g0m60HXtNgvbG+tnt72zuohJFPE6lXjdWyGVlJBB4IJFcD+z1+yP+zZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/4a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf8A3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr5T/4Kf+KvEfh24+ENlquu3elfD6++IQHju/hZY7ffHbyS6bFdSkjyrd71IQSSFZgik8gN9WVjfEP4e+CPix4H1X4a/EnwxZ61oOt2T2mq6XfxB4rmFxhlYfqCMEEAgggGuLMsJPHYGpQjLlcla/8AXTo/I9fIsfh8szWniK8OeC5k1pe0ouPNG+nNG/NG+nMkfnHr3x103Q/269V8F2H7Ud34U0WH4bQyeJ7ax8S2djDHqyXxW1RnkBYzG3e5LR5+VRGxA3Ln1XwRqfgL4o32q6X4W+NZ8daxqGnLZ3VyfEkGpXcNt+8VEHk/cQNNIwyv3nPJ6V9VfAv9nH4Gfsz+A1+GXwH+GOl+GdCW8kujp+nQna88mN8jMxLOxCqMsScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/Q9jNOIMtq4tPBULQjFRUpWU5W3lJK6Tb6KTsrLmdruj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfdpWVj5Fu7Cv5UPjb8Y/wBqrTv20Ne+MPxF8Ua7pfxZ07xg811fS/uLyxv4pNiIq9EVAqoqD5AgCjK1/VfXmWrfsafst69+0Fa/tVax8D9BuPiFZoq2/imW2JuF2xGJWIztZ1jO0OVLABcEbRj5/iDJq+cQpKnU5OR36/fp1XT1eqP1/wAI/ErLfDmvjp4zB+3Vemora6av7rv/AMu539+137sfdZ8h6P8AGP4d+I/BVhYfEz9tybUmu9LgGvaPqXxGsGt7iRo1M0MiJjKFtwKgjjjNfU/7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/wB+xUgAHAFc+A4brYTMIYqtiZVHFOya7q27kz82xeaQxFGVOFJQUnfTbe+1gooor6k8gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O/wDwVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/AIJW/s3/ALTNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv/g4/8W6tL+wbF8FPB/wj8f8Ai7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv+6DFN+PMKsFzg4AP0DVgyhh0IyKWua+DvxN0X4zfC/Q/in4c0XW9Nsdd09Lq1sfEmizadfwI3RZ7adVkhfjlHAIrpaACiiigCh4q8T6H4J8L6l4z8T34tdM0iwmvdRumRmEMESGSR8KCThVJwATxwK8P/AGQP+CmX7KX7b3jjxJ8MPgrr3iC28TeFbOC+1Xw74u8JX2jXv2Gc4hvI4byKNpIH4xIBj5l9Rn2rxz4pg8DeCdY8bXWkX+oRaPpVxfSWGlWjT3VysUbSGKGJeZJGC7VQcsxAHWvzl/4IzfFHWP2q/wBsv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/wCCov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8ABxfYXHxz+F0X7N/gf4FftB698SIrK3v/AIZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif8AwUb8IftLfEL9iP4i/D/9kKKF/iFr2gNp2h+dqiWJVZ5EiuGS4cFYJRbtMUkIO19pwcYoAX9jX/goL+y/+3zF43u/2YfGtxrtr8P/ABZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv9pnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/AAVQ8AfELSv27X8f/sKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv8ARJIY4JbpHW5PmLJnYNrZIB+tNFFFABRRRQByHx8+PXwl/Zg+Duv/AB8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/2Uv2uPhN+2R8PJ/iR8JLPxLZ2tpfmzvLDxd4UvNGvoJPLSRS1vdxpJsaORHVwCrBgQa+d/wDg4J/Z2+MX7TH/AATL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/wAc6xq0iJ/E0YABJAqj/wAENrf9oOP4dfFi5+Ik/wAWG+G8/wATpm+Cg+OD3TeJRo32aLzTcfbP9JERufN8sS/NgNj5cUAfctFFFAH/2Q==", 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", 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", "info": {"equation": "94-5=89", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "7bb1c53570b08fbf65e28566fcefb1b6e52cc71686a0fa21ece7ddb7b68f328d"} +{"episode": 67299, "episode_seed": 3574832060, "split": "train", "timestamp": "2025-10-28T03:49:21.034960", "batch_dir": null, "init_args": {"env_repr": ">>", "vlm_repr": "", "max_steps": 500, "abs_size": 336, "master_seed": 714, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3574832060, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n 0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n 7 : plus vertical stroke (used by '+')\n 8 : the multiply sign that goes from top left to bottom right\n 9 : the multiply sign that goes from top right to bottom left\n 11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning 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, 8, 5])", "action": "('move', [1, 5, 8, 5])", "reward": 0.0, "image": 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wn8LafLep4IvL/UZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/BPL4oeG/Hn/AAT/APC3gX9oj9rK7tLWfS7nSrrwneeO7SxgfSUleGG2eIFZFiaBQhBYFkPJ5r9Nv2rPh3+y58Tfg9deHf2wrDwxP4KS8gnuW8W36WtpFcK+In853QRvubaCGBO4ryGIK/Hnwr4Og/ZS8ZeGNH0OxTRk+H2oWlrZ20SiAWosZEWNAvATZgADjHSvm8z4fxOKzCtiYYlwTitFe+itZ6rTT89D9Cn4g4Sfhvl3DywfLUoVpT9tprq37r35/fXNqrKMNdfd8F/4Jx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/4J3/AAg+GHwM8O+Mvh78IfBNl4f0WHX7eePT7BW2ebJZQl3JYlmY4HJJ4AHQAV9F16vDMHDI6CvfS/3tv8D4PivHU8wz2rWp3atGN5fFLlhGPNKzdpStdq8rXtzS3ZXzl+254psvh7b3Xi3Q7P7Vq401EtbBFT/Sr2SQQ2kXzMoLPK6JgkcY5r6F1XU7PRdNn1bUJdkFtE0kreigZP1NfMDeE7/9pf8AaCnN3DKuneGLBtcYs6qrahL5lvp0Ryh3CONLmRsEEMITznjh4qf1qhTwNNc1Sbul2UU2389vmzjyleyqSrydoxVvm/6ueyfsm2Hg7Tv2bPBcfgS5M+ny6DDcfaZI1SW4uJR5lxLKqMwWZ5mlaQAnDswya9DrxH9jkat4YHif4eXYX+zk1iTVdEUOoNutyd91AUCKRi682UElsi4xkbcV7dXtZTi6WNy6nVp6JpadmtGvkzixdGVDEyhLuFFFFeicx/O3+3b46/alf/gulqGrWyarJ4y0j4oafa+BLU2gZhZJNH9gSKM/K0bxMrejeY7NyzV/RJXx18fPgn8JfEX7eGnfG3XfANhd+LND1jwraaPrsysZrSF7wblTnaM+Y/OM/McGvsWvmOHqDo4rGXk3+86+l/v1/A/U/EfjXB8W5bk9ChhlReFw6pyat7z0WlvsLlvFPVOUvVlfzi/tx/F39pXwz/wWq8U+NNT8ZaxoXijSfiSLDw/qHmrbSWekGQQ2vllvkSJrORTuPyssrM33mr+jqvKtf+Ev7HuoftX6P8T/ABJoPg5/jHbaA8eiz3N5ENXOn/vUZ44C+50AaZPM2HALLuwMV1Z9ldTNaNOEKnI4yTv/AJea6E+FvHGE4HxuOrV8H9YVbDzppWTs3Z+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/G9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh//BSvxH8WPCX7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/vg19FXpurQlBO101ftdbn53leMjl2Z0MXKCmqc4ycXtLlknyvydrPyP57f+CGHxV1vwT8U/G3hrUfj5e+B/DF74fiuryS28QW2nLdX0c6pAC8wJYiOS5+VfcnoK/QLRND+EOg/Hf4afFf9n/xNa658QPEPxZtrbUfE+nanDqWo63ZSqBq0V3MrEyW8VigkK8LAYYCoQkbvZ/+CYvwL+D3wSGv6L8Jvh3puhWup+FvD9/qEVlGx+0XL/bQ0jFySTgAYzgdgKo+EPgh8ItK/wCCitx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+XYLLK6wmCxDry5ZVIpR6R956rXy7dT9n4t8QMv4g41zDNKNGVKEqVuVWvUtCMbVbNLlf2vi0SjbXmX2LRRRX6sfhJ/NX+zt8aP2i9C/wCCs03jD4j/ABP1rwp4q1jxze2HxA1WS+jsZobYzMLqGRpPkiRVjACnhfLQLyq1+jX7RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/wAS22q6horoxktTZKhxDK135W3au6WTZGdwIQ/cnhD4R/sd6R+1J4o+JPgrw/4OT4uX+kxJ4tnsruJtW+xlYdjTwhy0aMEg+cqu7CZJ4rwz/goj8DfhB8Svi5pfi/x78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzLh3E4LAVKssS3Hm+FXs7ySu9fi6vTfqfvvEfiVgOJ+KsBjKeElhVRoQi+RJSfKnLljrFezekYtt2h73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6ZFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v8AUZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxJ/wTi+O6eKf2IfCGn/Hz9sa/trj7FcafJ4d1Lx1Z28Z0yOV4YIHhb5/LMCquCQxXvyDX6e/HX9n34L/ALTXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK6TRvDXh7w9o9p4f0LRLW0sbC2jt7K0t4FSOCJFCoiqBgKqgAAdAK+Wx/DeLxmZVMTDEumpJKyvfRWtutOvzZ+qYnxDy6v4aYHhlYJe1oVZzdTSzT5mraN8z5rSvpaEd9o+e/sweFxpWgav4oDSf8TzUI5l3Y2FY4I4gyccg7evPtXp9AAAwBRX0WX4NYDBU8OnflVr9z8vxFZ4ivKpa1ypr2jWniHRbrQ77PlXUDRuV6jI6j3HWs74feB7TwB4fGh2121wzStLNOybd7HA6c4GAB+FblFaSwuHliViHH30mk/JkqrUVN009HrY5jwf8AC7SvB3iXUfElnePI18SI4mQAQqW3MoPf5v0A+tdPRRRhsLh8HS9nRjyxu3bzbuwq1alaXNN3YUUUV0GZ4t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgr+cX9uP4u/tK+Gf+C1XinxpqfjLWNC8UaT8SRYeH9Q81baSz0gyCG18st8iRNZyKdx+VllZm+81f0dVwerfswfs/a78d9P/ad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxXHnuU1s2o04U6nI4yTv/AF1XQ/RvDHjzAcB4zG1sVhVXVehOklpo3ZpO/wBiVrTS1tbR2sfLHhbxj8PfiD4pGj6N+0pL461R7WaHT7C48YW2oywo+BI0UUIDZIC5ODwBX2h4L0FPCvg7SfC8buy6bpkFqrSEFiI41TJxxnjtWgltbxtujt0U+qoBT6nJ8lqZXVqVKlZ1JTtq/K/m77nwGMxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcK8c/4KDa5498N/sXfETW/hreajbarB4ecm70eHzLu2tS6C6mhH/PRLYzOpGSCoI5Ar2OkkjjljaKVAysCGVhkEHsa669N1qEqadrpq/a63NcuxUMBmFHEygpqnOMnF7SUWnZ76O1noz819a+N/gzw7+1BpPhHwj+1G/hXw7J8LRc366R4qs7W3lIu4v7MbzZNxctBLeMqg4KbX6EE/Qv7K1h4U8f+OtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfZ/gR+y9+z5+zH4ev8Awp8AvhLo/hbTtT1J9Qv7XS7fas1wyqpc7iT91VAUfKoHAFd3HFHENsUaqPRRivj8BwpicNOjKriW1CSlypPlunfS7/G3c97Os7y3EVXDA0mocvKpSSU5d5SUbq93ZLmdkkruw6iiivtT5Q/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/wCHv2Xv2fPCnxv1v9pLw78JdHtPHXiOyW01vxNFb/6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/8Agtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/wDwm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/wC0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf+CWvwo8G+IPh94t8Max4P8AD8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av8AgkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/wCDg/4JftsfEnxN4C+IHwL/AGXl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/wAZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/glMv7Saf8E7/hOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/wBuTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/4z/sb/Fn4P8Aw+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/wDg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/wCCqHx8/ab8aeE9UsNJ8J+F/D/w3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/AILNfD/xv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD/9k=", 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", 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", "info": {"equation": "13*13=169", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed 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*13=169", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": ""}], "extra_state": null, "hash": "ca0eb7dc304b61bb897d3289ddac6205b5ea8cced8e47cd3cdd4dfead7739993"}