diff --git "a/matchstick_equation/bfs/train/batch_000862.jsonl" "b/matchstick_equation/bfs/train/batch_000862.jsonl"
new file mode 100644--- /dev/null
+++ "b/matchstick_equation/bfs/train/batch_000862.jsonl"
@@ -0,0 +1,100 @@
+{"episode": 86200, "episode_seed": 865090517, "split": "train", "timestamp": "2025-10-28T03:51:03.807178", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 865090517, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 1, 1, 5])</answer>", "action": "('move', [0, 1, 1, 5])", "reward": 0.0, "image": 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", 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7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9c9atP2aPj34i0bS/iX8ddP8AifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DMr7VZ8YyTX07+yz8DP2Bfhl4x8Zap+yJ4Z8A2+t3V4sXjU+Er+G5mt5fMlZYZlSR/s3ziX93hBlDx8gxyn/AAUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5xieGsXgsnqVHim4pN8qvyvX1+/Tc/aePvEjA8Z8dUcbRw08IowjBysvbbNuVk430lyxXOrx3aTsue/wCCRIj0z4efEfwb8P2d/hfofxHurb4YSRoptRaNDFLexWkq58+3TUHu0R8sOCAxxx9c14x+wL4V8N+Bf2brTwX4N0O20zSdK8S67a6bp9nHsit4U1W6Coo7AD8T1OSa9nr7jJabp5RQi3f3I/ir/hsj8i4lx8M0z2viYRspS67uyS5pPrOduab6ybYV/Or/AMHCfi344a7/AMFIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/ANjn9l/9qe+0XU/2hfgnofiy48PSO+jzarblmt95UsuVI3KSiko2VOOlYZ/lVXN8D7CnPld09dn5P8/VH2nhJx7gPDvip5njMO60HTlDS3NFuzUo3sr6cr1Xuyfo/wA8f+Cf/wC0p4j8WfsheDdb+Pf7dOt6d4lktJo57S6+IFjbSx26TyJbbkcFwTAsZy/zNnLck192/sy/EDXfHuqLq+l+MT4g0WewJOppercQyFcIrrInyFiVIO3r83GRx7NHp9hFGsUVjCqqoCqsQAAHQCpURI12xoFA6ADFedg+G8Zh8VTqzxk5KLvZ3s/L4n+Wx8rnfEGHzfH4nE08LGkq05SUY2tHmk3ZaLRXstthaKKK+sPmT4y/4L3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj/8A8EXPin4u+H/7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6Q9b0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZBXzHM6denX5LK3W6/wAOq3vrqftfCfiXgch8MMx4eqZf7WdaV1UsuVcyS/eNpvmhy3p769rXfylr3hj9kj49+IBqXxZ+KuhfFG803R7qO2i8YeLrXVE0yzYA3UkUQYJACAm+faGARPnXaK97/wCCS994kuv2OrGxv5bybw7pviTVrH4d3V9brG8/huG6dNOcYxvj8kAI5+9GqHJBDHG/4KFfs7/BD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAVwZDgamD4jxFOdVzcYq7fW9nrq9tlqfH5jndGvwhSwi5pSlO/LK3JSUefSnq3efNeXuwSta0r3Xp1FFFfdHwh4l8dPgb+wN46/aC8HeNv2g/DfgG4+JNq0K+C38QahDFqM5jmLxLDC0im42yklRtfDE45Ne0mztCcm1j/74FfzIf8FX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/wDg5k8XfHHw3+xNoumfDabUYPC+reKVtvHk9hH8pt9m63imccpE8wHoGYIpPIB/Ryud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM08ywssbgKlCMuVyVr/107+R9BwTntHhjizB5pVo+2jRmpOHfpp/eV7x/vJH4Ff8EMPi94o8G+PPGng7Vv2gb7wP4Pn0dL2b7P4gttOS41MTRRxfPMCXPk+d8q8YAJ/hr718b+Bf2JvjBH4g8f8Axf8AiJoHj+8tdCEWp+JPEfiq21G60ewR9yeS4YCzAlO4MgQs7YLHOK+1v2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHzd/wUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzvNeH8Vl2Te1liXKKt7qvy6vpr59j9I4g49wXE/iLWzOnRqYOMtG4Je291Je8uaC5pNLm958umkmtfdv+Cd/iX4ueMP2J/hz4l+Ok2pS+Jrvw+r3txrNuIry4h8xxbTTrxiV7cQu2QCWYkgEkV7PXOfB5i3wk8LMxyT4csSSf8Ar3Sujr9Mw8HSw8IN3skrvd2W7PxzM8XHH5lWxMYKCqTlJRjtHmbfKvJXsvIK/Ka2+K/iaP8AYL8XeLvHPxB1SD4u3Op6gdZinER1aHxmLxvslhHanPzCWC2jhhVTm3jQqCvzH9Wa+A/j5+zl8C9d/a18Y/tA618LtLufGmm/Evw7FYeIp0Zp4FWHRVXaN2zIV2AbbkZ4OQK+T4yw8quHoSU2rTS0/vdfVW09WfVcG5lleD9tSxtJyV4VE0ott0+b92+a1oVOf3mrtcsXyS2KH/Bfbxr+0voP/BLXTbnwimo2s2r6jplp8UX063GYbCW1l89JCufLia78iNtpwQ+wnaxB+PP+DXPX/jFbftUeOPDfh2C7fwPdeEFn8UOtsGgjvo5gLHdIR8jlXuwqg/MA/B25H6+/ts6Vp2u/sjfEbQ9Ys0uLS98IXtvd28n3ZYniKsp9iCR+NeS/8E9vgR8Hf2fPin488G/BP4d6d4b0y58P6LdXFppytiWY3OqLvZnZmY7VAGTwBxipx2Fl/rbhZc71i/8AyVP8+vzPuMl8R8vwPhJmPDksFF1K07qaty2k4u8lvzQt7lvLbl1+q6KKK+0PxA/CX/g558XfHG6/a78NeCfFU+ox+A7XwtHdeErdo9tpNdMzLeSKRxJKCIlbPKqV4AbLel/8ElP2ivFOqfsfWFj8af2z9Z8PtpOrTad4Z0ubxxZ2Zh0qKKFYlWOUF9gfzlUt/CoA+ULX6oftDfssfs9ftX+GLPwb+0T8KNK8V6bp179rsbfUkbNvNsZC6MhVlyrEEA4PGQcDHX+HvCXhfwloFj4V8MeH7Ow03TLOK00+xtbdUitoI1CRxooGFVVAAA6AV8ZieGMbXzOriYYlwUu17+j1Wi6H7XmviplWYeGOA4YjgEqtCV3N8vLpf3o6N8873m3bW+99Plr9n7wx4O+JutaDceCPGI16w07xH/at1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/ZGHlTdRzcpOTbVt7eb7dz8gxuL+uVFLlskrWCvA/wDgqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a9OvSdahKmnbmTV1urrdehplOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfzBf8Ervi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP8A6Uvnofqnih4m5Zx1xLHMcJgvZxjCMLy5eeTV227JrS/LHV6JPS9lxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfj9Wo6tWU31bYUUUVuZhRRRQAUUUUAfGX/Be/xf8c/Bn/BNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mfj34fftMXPg6z+OupeCvB+saRPP4oltddhsIZXhjf7MWebK7hJIANvzEMR0zj+kDWNI0rxBpN1oOvabBe2N9bPb3tndRCSKeJ1KvG6tkMrKSCDwQSK4H9nr9kf9mz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzfh/FZlmMMTTruCStpe69LNb311XzP2fhXxQyvh/w1zDhqtgVUqYiTcZ6cvvKKvO+vNT5b07X1tta7+ZfAnjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9dOT5FPLMTUr1KzqSkkrtdvO7uflOMx8cVTjCMFFLt/wyCiiivoTzjzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/8AvgVJRURpU4ScoxSb3039e51V8djcVSp0q1WUo01aKcm1Fb2im7RV9bKwiqqDaqgAdABS0UVZyhX5x/8ABzJ4u+OXhv8AYm0XTPhtPqMHhfVvFC23j2ewj+U2+zdbxTOOUieYDPZmCKTyAf0crG+IXw98E/FjwPqvw1+JHhi01rQdbsntNV0u/i3xXMLjDKw/UEYIIBBBANcWZYSWOwNShGXK5K1/66dH5H0/Bef0OFuKsHm1aiqsKM1JwfVeV9OZfFF9JJM/Af8A4Ia/G7xx4T8XeL/h3rn7R+qeCvAw0r+0BbxeJrfT4JNVaWGNWUzg5cwrJkJ1CLu6LX6Y+CNT8BfFG+1XS/C3xrPjrWNQ05bO6uT4kg1K7htv3iog8n7iBppGGV+855PSvqr4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBXyEODcVLDKjVxb5esUm4/K8v0+R9Tx/wAf4Di3i3EZthcIqUZ2SvbmdklzSsrcztrZvtd2uUfCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor7tKysfmDd2Ffk9e/GjUtE/4J6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/+D6q2nq9UfXcLZ3lGVRqwx9FzTlCa5VFtunz/u3zWtCpz+81drli+SWx8haL8Y/h54j8EafYfE39tybUmu9Ktxr+j6j8RrBre4kaJTNDIiYyhbcCoI44zX1R+y/4NNtruvfEl2mzqthZWMe4Dy3SCS5k3rxk5NyQTkj5R6GvXvsVn/z6Rf8AfsVIABwBXPgOG62EzCGKrYmVRxTsmu6tu5M8fF5pDEUp04UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", "info": {"equation": "59-9=50", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "59-9=50", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "542b0eefe31090fcefaa1c4ada93a935a3ca39c3006d51864f6cca75f3b21387"}
+{"episode": 86201, "episode_seed": 1456159550, "split": "train", "timestamp": "2025-10-28T03:51:03.867560", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1456159550, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 4, 1, 0])</answer>", "action": "('move', [3, 4, 1, 0])", "reward": 0.0, "image": 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", "info": {"equation": "87-9=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "87-9=78", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "63ac40eb88d529dd1bf642b0de0cb9a78bc0a71220b49ba6a7dfa46bc9532e61"}
+{"episode": 86202, "episode_seed": 2653758901, "split": "train", "timestamp": "2025-10-28T03:51:03.941342", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2653758901, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 0, 1, 7])</answer>", "action": "('move', [2, 0, 1, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "8+17*2=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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wpa3Hhy/vEZmsJWvpiXQZ2k5RCNwOCoIwa9K/4KEfCP4Z/GT4VeHvh78UPBdnrWi33jO3N3p10GCSFLW7dclCrcMoPB7V+Z47K69WvmFSNeSUHdrpK65rPXpstGftmceIGX51kvD+X08O6EsLBwlUhbm3jFygrxvdR5mnKN5yavbV0/8Aglw80f7JdrpWmtI/hnTfFGtWXgSV41CvoUV/Mln5ZX/WQiMbY353xqjZYEMfomvM/wBjnRtJ8Ofs0eE/D2gadDZ2FhZSW1laW6BY4IY55ESNQOiqoAA9BXplff5ZFwy6jFu9ox1+SPyTPMZDMM5xGJjHlU5ydvVvfz7+Z+Rv/B1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/R5dTjSIWwkYfxCJ7gqp65cjOOM/wD4JmfFnxlefsReE/iL8XPipc2c+m/ES3tofEN/qkULW9jb20MFtE0z/KqCJEhw3JU47g1+qPx1/Z9+C/7TXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSK8Ku9B0Tw7+1FD4a0HSbez0+x8eaXb2dlbxBIoYk0GBURVHAVVAAA6AV8bxDk1d5jHFKrZVJ04pa3T2v8rXXm3t1/S1x9gMZ4a4ThmOESq4edSpKppaSfM0u93z2lfS0I73tH3H4C6rr2seBvtuuXMs4a6f7JPMxZpIsA5yeoznBrtaAABgCivtsDhpYPCQoyk5OKtd9T8kr1FWrSmla/QKw/ibd+K7D4beIb7wHbmXXIdDu5NFiWMOXuxC5hXaeGy4UYPBrcorpkuaLQqU1Tqxm0nZp2ez8n5H8/H/Bv14w+PWof8FXhfSzardza7pWtv8AEu4u4C8jRlWmaS4LDKMb5bYFuDvbb/Ea/oHr49/Y5+Cfwm+Hv7XOv/EnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bIooor6Y/Lz+dv9u3x1+1K//BdLUNWtk1WTxlpHxQ0+18CWptAzCySaP7AkUZ+Vo3iZW9G8x2blmr+iSvjr4+fBP4S+Iv28NO+Nuu+AbC78WaHrHhW00fXZlYzWkL3g3KnO0Z8x+cZ+Y4NfYtfMcPUHRxWMvJv9519L/fr+B+p+I/GuD4ty3J6FDDKi8Lh1Tk1b3notLfYXLeKeqcperK574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINejnmKp4TK6kpK/MuVLu5aJf10PzfA0pVsVFLSzu32SPO/wBlHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw2/4OjPFHxdH7VngHw1qlzfxeDbTwZ9s8OqFK27ai1zKt26sPvSKiWgPdQVxjdz+5NfKv/BSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55Bq+K6bqZHVadrWfrqtD7Twn4swnBfG1DM8TQ9rBRnGytzLmi1zRvpfp/hbPnz9ln47WPxF+APw/vvjf+2Jd6v4j1HRtPuNX8P6v46sis178jxo8C4feHEbBM53AZycivvP9nbwk3hP4chZBMH1HUbm/dJhgqZXzgDA4wARn1ra+GNrbH4b+HpDbR7v7DtDnYOvkpXQVOU5DWwGL+s1cQ6jceXVbJtPdt9j5LOM3p5lWqSp0Y0lKblaOyu3olZaK9l5IK5H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD6+Z4qODy+pWlHmUU9O/r5d/I7+B8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P8AhV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/AII1fHnWIf2RW8PfE/8Aa/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/AGtfeV3Z31e56XXh3/BSvxH8WPCP7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe40kkaSo0UqBlYEMrDII9DX0tem61GVNO101ftdbnzOV4yOXZnQxcqamqc4ycXtLlknyvydrPyP54P+CF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+5vgT+zB+z7+zJ4ev/CnwD+E2j+FtO1TU31C/tdMt9qzXLKqlzuJP3VUADgAcAV87eEPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX53U4exWWvCe0xDknUiuVXsm23da/otz9h4l8R8u4p4vx2cYehKjCdJpRVr1LQUbVrNLle8vj0SjbXmX2LRRRX6Sfh5/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+ykvuVj4ycnObl3CvFtX+H7ax+03DqTabJb+TqcWqyTQqcTmO08hWYnI6BU4x9we9e00VyZhgFj/ZXlbknGfrbobYfEPD81lfmTX3hRRRXoHOFFFFAHi/wX+H5sPjZqniNtMksxp0OoQiGNSIt93dRTOctySTHuGD0cnuK9ooorz8swCy3DexUubVu783c6MViHiavO1bRL7gooor0DnPFviN8Pj4j/aD06UaZJEJLzTb2S6gU/vRZyrMpYnIwGXacY4YdyDXtNFFefgcAsFUrTUr+0k5el0tDor4h14wVrcqsFcxe/C7Sb34iQ/EKS7fzIkG622Da0gXar568Dt6gfQ9PRXRiMLh8UoqrG/K1JeTWzM6dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hXxr+1X41i0j9s3WrH4r+LpNL8OWPwhhufDi30yQWhR7u5/tedGYgPKixaeHznYjIeA/P2VXCfHL9mL4AftL2+i2nx5+FGkeKY/DuqLqOipqsBcWtwBjcMEZBGMocq2BkHArgzvLqma5fLDwlyttPy0ez/rc9nh7MMBl+OlLGxbpyi4txSc46ppx5mle65Xqvdcj4c/ZD/aNh1D4OeAta8Z/tq6hdeILrRLYXOi6j42sV82WRNqRvbKAyuVZPkGCGwOoxX358J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrW99ktQ24W0ec9dgqSuTKskxOXYl1auJlU0tZ3stU76t9jLNc0oZjVnOnQjTUpOVo7JNv3VotFe3yCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+glGM4uMldM8ujWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwooopkBXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc5+VVx8b9W0D4Q/C/WPFHx0v/Dnj3Vfi1JD4zu5dStrS9gvDPdjWYJvNyLeOGN3UYA2KLcD767vp74A/F+PxF4qh0D4f/tIXPji6+2QzTWsviq31F4Y87DkQYKxkE5LDHfIxXvXh79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCviMPwnjaUm3i5Jc17K+ut7vVavro9e59tn3EeU4+sp4TDct7uV1F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"info": {"equation": "8+17*2=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "a31b7663ff237fedc4b2c2f5e91c9042d3df73c10035bc31c90d249ecb51429f"}
+{"episode": 86203, "episode_seed": 2534648820, "split": "train", "timestamp": "2025-10-28T03:51:04.000765", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2534648820, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 7, 0, 5])</answer>", "action": "('move', [2, 7, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "97-1=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "97-1=96", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "c14d56ce5b3038abeb0486a30b60b756b3cfdbc5595e2d8c262b517530748d8a"}
+{"episode": 86204, "episode_seed": 3488260918, "split": "train", "timestamp": "2025-10-28T03:51:04.072605", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3488260918, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 5, 8, 0])</answer>", "action": "('move', [5, 5, 8, 0])", "reward": 0.0, "image": 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T1Wml/m9D7+XiLgKnh3l/DccJarh60qjqq2zcmnHrze9Z6rSEbP8Al8C/4Jx+HPC3gL9oH4t+BPgxollp3giLT9CvLuw0azijsLbX5EuUuVjMYwJGtItPeSMfdyjYG/n7Br50/wCCd/wg+GHwM8O+Mvh78IfBNl4f0WHX7eePT7BW2ebJZQl3JYlmY4HJJ4AHQAV9F16nDMHDI6CvfS/3tv8AA+G4rx1PMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t38df8F5vEnxY8Mf8ABMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2QUUUV6Bzn87f7dvjr9qV/+C6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WVz3xVt9KuPh9qi6y22FbYsrBQSrj7hAPfdiuhrxP9sD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9HPMVTwmV1JSV+ZcqXdy0S/rofm+BpSrYqKWlndvsked/so+IfC3jT9rjXbfUYXN14X8NNa+HXkijMUszyxNqTxtvLb4w9hEfkXbvcZO4gfWFfJ158Dtb/Zxvfh9qmhXS3Wq6DdJf6ndO6D+0ZLjcurLvMQA80zSSqAF+dYslQMj6wjkSVFljYMrAFWByCK8/hd+wwcsFNWqUnZrvfVP5/odOaLnrKvF3jNafLdC1+Gn/AAdI+I/ixP8AtUeA/CetyXq+CoPBRuvD8TR4tnv3uZVvGU/xyBFtAc8qCvTdz+5deV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8JbexQKdSYHZHCZHXzXcD/VfMH2jKnAx357l88zy6VCM+Vtp3e2j6/wBb2PsfCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/7rkfCHwB8feAfjv8AsueAvDP7TX7UbeJLzVtD0yXXfBmu+N7M213dKUeKCa0TaXAkWM+SeCygMp5FfT//AAS80/TvDvh74n+DPAFlFb+A9I+JM0Xg+Czt0S0gZ7O2l1CG2KcNEl+9yOMhZDIgxt2r6P8AtxeBPB3xA/Zm17wV408OW2o6Vqt9pVtqNjOpCTxPqdqGQlSDgj0INUf2BvAfg34YfAmX4ffD3w5baRomk+JdQg07TbNSI4I/NzgZJJySSSSSSSSSTXz2W5ZXy/iOMKleVR+zbu+3Na2706+pzY/iDD43IcUowcPbVbqmreyhdqXPHX49PZr3V7jfvO9j2uuR+PHhH4L+O/hBr/hT9omy0W48E3diR4ij8Q3CxWQgVg+6WR2UIFZVYNkbSoIIIFddX5x/8HNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/VZnio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/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+nPywK/n7/AODiDxd8dH/4Kfiw1GbVEstF0XSX+HEawHaEaNJHkgAH7xjeiZS2CS0YXoqiv6BK+OP+CinwT+E3xP8Ai7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8AI/UPCPjHB8EcWPMMTh/bRlSqQtpdNpNNX015eV/3ZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7hWL8SNLGufD7XNEfTlvFvNJuIJLVwcTK8bKycc8gkcVtUU6sPa0pQva6a+8IS5JKXY8x/Zj8Jtomh6x4ikEytrOopJtlGBiKFIgV4zg7ffmvTqKK58vwawGCp4dO/KrX7mmIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/wAhltCLe3jt1JIRAoJ9hin0UV6BzhRRRQB4t8Rvh8fEf7QenSjTJIhJeabeyXUCn96LOVZlLE5GAy7TjHDDuQa9poorz8DgFgqlaalf2knL0ulodFfEOvGCtblVgrmL34XaTe/ESH4hSXb+ZEg3W2wbWkC7VfPXgdvUD6Hp6K6MRhcPilFVY35WpLya2ZnTq1KTbg7XVvkzmviN8NNO+I0FpFe38lu1pMWDxoGLI2Ny89M4HPb0NdFBDFbQJbwrtSNAqKOwAwKfRThhcPSrzrRjaU7Xfe2wSq1JU1BvRbfMK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgVwZ3l1TNMvlh4S5W2n5aPr/W5994X8ZYPgPjClm+Koe1hGM4tK3MuaLV430v0f91s+Df2WfjrZfEX4A/D+9+OH7Yl3q/iPUdG0+41fw/q/jmzKzX3yOiPbrh94kEbBM53AZ5yK+8/2dvCTeE/hyFkEwfUdRub90mGCplfOAMDjABGfWu2+yWobcLaPOeuwVJXDlWQ1svxjxFXEOo+Xl1Wyunu2+x8xm+b08zq1J06MaSnNy5Y7K7eiVlor2Xkgrn/AIqfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyKNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/wAPfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwooopkBXi+l/D83X7Tp1s6ZJbCw1ObVGaFTsmZ7N7UMxOc5WTtjlPYivaKK8/HYBY6dGTlb2c1P1tfQ6KGIdBTSV+ZNfeFFFFegc4V4t+0x8PB458Xadpg0yQHVdOOnte26nzNhkJZcnKjaDuGR3JPAr2mivPzPALMsI6Dlyq6d/RpnRhcQ8NV9olff8UFFFFegc4UUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", 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", "info": {"equation": "14+1*3=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "14+1*3=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "99a88db4eb11e4beb0a3355e90baefc781b0a163b03c927d61e1ab7ed2dfa603"}
+{"episode": 86205, "episode_seed": 4285439220, "split": "train", "timestamp": "2025-10-28T03:51:04.133203", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4285439220, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 1, 6, 0])</answer>", "action": "('move', [0, 1, 6, 0])", "reward": 0.0, "image": 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", "info": {"equation": "51+6=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "51+6=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "5f7fc5b3eb563df730804208ed74041e2e13d6f022b3d1462a3d9109f4a525d2"}
+{"episode": 86206, "episode_seed": 3998511509, "split": "train", "timestamp": "2025-10-28T03:51:04.208643", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3998511509, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 1, 1, 7])</answer>", "action": "('move', [7, 1, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "4+10*6=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "4+10*6=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "7e1e8f8afd0425a33044abc5d2a8437ee051270dae7586b5df7b37779b411a8e"}
+{"episode": 86207, "episode_seed": 2610491825, "split": "train", "timestamp": "2025-10-28T03:51:04.261836", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2610491825, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 5, 2, 0])</answer>", "action": "('move', [5, 5, 2, 0])", "reward": 0.0, "image": 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", "info": {"equation": "9*7=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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yy6SfC88dxZylpG8yRZUZhKS+4FtxORjPGB8XjeGsTi84niYYnkur6X5l0tuvd+flY/fqfixl0PB+PDLyy81Ll9pZez0fPz3tf2vRrt73N9k+MNQ8N/srfHvxxpl98RfivpHxV1nTbadNC0/xV4rtNYWzRlJmeG0B8vcygbnKMwCLyNorvP8Agj6W0iX4veAfhYWk+DWh+L7ZPhnPCiNZLPLC0mqwWc4JM9ulyVw2WAZ3AYncBuf8FHPgD8GPj78UPhp4Q+Mnw60/xBplto3iG7gs7zeqpOsmloHBjZTna7jrj5unSvQf+CeHhLwx4C+AN34J8FaDa6XpGk+NdbtdN06yiCRW8K3sgVFA6D9SSSckk1wZPl9XCcVzpzqubjC7b+1dRVnq9Ffv0R8LiM+oPguWFbnKVRqKhK3s6SjPn5qfvN87s4/DBKM6ivLmPdaKKK/Qz87CuX+MNn4fuvAN63iF9iRKGt5VQM6y9F2g9STx9Ca6d3SNDJI4VVGWZjgAetfNv7U3x/sLbw/deIbDTb2/0/SIgbTTrWLM+pXjsI4oYgATvkkdIk7ZfPSvB4izChgsulCaUpVE4xj3b0+5X/JdTvy7D1K+JTWijq32PB/2hviH4WuPEWk/BjxNLdR+HLy6srn4oapZLEw0vQpbjyQspeaMxLcTBY3cBiluLh8fKDX6B6Vpul6NpdtpGiWFvaWVpbpDZ2tpEscUMSqFREVQAqhQAAOAAAK+XtA/ZEvvhj8GJvEXj+O21bxR4nka8+JLMUmgnmliWIW8eI0DW8MSrAoKjKLuIJZie3/Yd1DxV4Y+H7/BHxfqBvovC58jwtqslyjy3OkglbeGUBEImgQLExwwdQj7yzOF8HhlvJ8XLL8TFRnNKSffTb5a/NM9DM0sZRWIpO8VdNdvP+vI9yooor7w8AKKKKAGylxExjHzbTt+tfyc/tYeNf2g/Hn7Rni3xN+1NPqn/CfPrEkfiKLVovKmtpkO0QhOkaIoCoq/KFC7eMGv6yK/O79sb9lr9nb4qfHb41fFv4j/AAh0fWvEejRxLpmq38bu0Ai8PWcsY27tjbXZmG5TyfpXxPHFBzwFOrzNcsrW6O63+VtPVn7h4IeImX8AZpi5YrC+1VaCSlG3PFxb91N/Znf3vOMXZ2PqD/gmv4k+Oni79hT4ZeI/2k7W8h8aXXhtW1ddRtBBcMokcQPLGANrtbiFmyAcsSQDkD3Gsj4fMzeAtDZmJJ0i2JJPX90ta9fYYem6VCEG72SV3u7Ldn47mmMjmGZV8VGmqaqTlJQjpGPNJvlj5RvZeSCua+MnhL4UeOfhV4g8K/HTTNIvPB93pUw8Rw68yLZi0ClpHlZyBGqhd+/I2FQwIIBHS1+Xf/B0J41/aG8O/s8+BfDfw+m1SDwBrWrXsfj+exh/dPOn2ZrCCeQcqjH7SwU/KzRrnlVFcuaYyOAy+pXlHmUVt3vp92uvkfQcB8O1uLOL8HlVKuqEqk9KjduXlTldbe97toK6vKyutz7o/ZA+EX7F3wv+HV5ZfsU6J4Mj8NXmqNJf3Hg7UIr2Ga7VEBDzI8m51TZ8pb5QRwM8+sLaWqsGW2jBHQhBX83n/BGH43fE34f/ALSMngHTvjzqngvwRq9hcXfitrbXoLGB5IYHFs5efKh/NdF+X5mBwcqDj9avA3x98IweIY7LRv20J/EF3fqbW30u78e2d15zORgJHGAxk4wNvPJr5PDcaYGnhknQlFrpFLl+Wq/I+u8TvD3H8KcXVMJVxv1lyUZ88m3N82lp3v7yt3d48r0vZfbtFcd8D9Q8U6l4LE/idpXImItJbjO+SLAwTnqOuD3HPNdjX2eCxUcbhYV0mlJXs9z8orUnRquDd7BXE/tKap8UND/Z28ea18ELKS58Z2ng3U5vCVvFbrK0uprayNbKEb5XJlCAKeDnBrtqK3nHng43tfqVhayw+JhVcVJRafK9U7O9n5PZ+R/I1e/Ef4tWvxjf4r6r4m1YeOLfxF/ac2rXpY3q6mk/mea+8Z80SjJDDqMEdq/dD4f/ABx0bxB8KdC/4WZ+3xq0Gt33hy0/4SK3j+J1hC0d29un2hR5YHlkSFx8p+XHB4BrL8V/stfs7y/EfxT+0PP8IdIk8bj4z3bjxHLG7Tqw8T+SrAFigYRgKGC5HXOea/SX7HZ/8+sf/fsV+YZJkmKxk68aeJlT5JOLtf3vN+8j998W/FTKuNaeXrDYBU3Sg23Llum7e5FpfBG103Ztv4Y21/Kn4zeAfgj8C/Bvgjx7+wxoui6Z8Tz4ltbf4ZXHgpobi818y3aLewSsGJvrZojKZnkLrHgZZBzX6tV+a37Iv7LX7O/wz8W/Bj4y+A/hFpGmeKtY1yybUtdhR2nlM+nXckxBdiE3tydgXPTpxX6U17fBFJwwVaXM379rdFZLX1d9fRH5vxvnFHMY4ahGU6jpqUnUqW55ObXufFP3IOLcbybcpzlZXsFFFFfbHwZ/Px/wcg+Nf2hdV/b6u/BXxMm1OPwRpWk2cnw5tpodlpJBJawm7nixxI5uvNRmPzARov3QufRv+CLH7Rfj2b4E674O+LX7XWs+F/D3h6/t7TwVp0njG1sVSNhLJcpGswLsis0WP4V3EL3A/WD9sv4R/sSfFbwNpcX7cek+C5dCsdVzo93401OKyjiu3jfKRTPJGdzIrEoG+YR5IOwEd/8AC/wf8L/B/wAOND8MfCPRNItfC1lpcMfh+DR1Q2q2mwGIxFchkKkEMCd2c5Oc18RW4YxdbNateGKcObXS/Nr0eq0XTXoj+gM48WctzDwnwfDayy06fLH2jS9nenvODs37Sf8Ay82+KWrufBGq/Dr9iz406/rHjb4n+MvDHxM1RNBaDVNX8X+KLbVJNO0teWCncFs4QSWMqBCGZjvBNe4/8EetU8aX/wCyLLp+sSahN4V0rxlqmn/Cy81O0WKW68LxOi2LjAG+MfvVjcj5o0QjK7WPI/tsfsvfs9/tCftgJJ8a/hNpXiM6P8PtJOm/b1cCDzNQ1PfgIyhg3lpkNkfL9a+gf2Hre3s/2Rfh7Z2dvHDDD4Zt44YYkCpGijCqqjgAAAADgAVzcO4KpheI8RCVRycFq39q9nrq9j4HNs9o1uEKWEvOcpyi7TtyUlDmSVL3m3zJ+87QSStyy0a9Vooor9APz0/Fr/g6V8a/tDQfFPwD4Amm1SH4Vz+HheWyxQ7bO611Z7hZhI4+/JHb/Zyqt90SsV+82PIP+CHXx9+Ivh/U/FXww8T/ALTWr+DfAFlp326ytE8T29hANUlmiX5DOCSWiSQsqfLlQWwSM/ur8cfgH8G/2lPh/P8ACz47fDvTfE+gXE8U8mm6nEWUSxtuSRWBDIwORuUg4LDoxBd8GvgP8Hf2evh9Z/Cv4K/DvTPDnh+weR7XTNOgwiu7Fnck5ZmJJJZiT054FfG43hjGYrNp4qniHBSXS/MvLdafP5dT95p+L2Tw8JY8JvLk6ydub3eS3Nze0/m9r02t9rm+yfInhDx18LvF/jK2ltf2kU8b63FaTw6ZBf8AjG1v5reJyjziGOLBAbyYyxweIh0wc/VX7Nvw/f4d/Dd7CUXCy6lrN9qk0dyAGje4naUrjAwBu4B59a7tLa2jbdHbop9QgFPrtynh+eW42WKqV3Uk1bVenW7vsrH4zi8xWJoKlGCik76f8Mgooor6U8wbNDFcQvbzoGSRSrqe4IwRXEeDvgXofhDxP/wkceqTXAiJNnBJGB5RIIJJH3jzxwMe9dzRXJiMBg8XVp1asE5Qd4vs/wCu5tTxFalCUYOyluVdc0ez8QaRc6JfqTDdQtHJjqAR1HuOtcx8Ovg9pfw/1KfV01SS8nkUxxM8YURxkg44JyeOTwPYV2NFFXAYOviYYipBOcNn2/rz2CFetTpOnF6PdBRRRXWYhRRRQAV82fHf4YSeJvHXijQYdAkt5fF8TQ3FxZxsWud1olt5oJyNyxKgPGBsGR1r6ToryM6ymOcYaNFzcUpJ6K97X0/E7MFi3g6rmo30sVNA0tNE0Gy0WN2ZbO0jgVmIyQihcnH0q3RRXrJWVjjCsT4kfDbwH8YPAmq/DH4n+FLLXNA1uza11XStQhDxXETdQR2IOCGGCpAIIIBrboolGMk01dMulVq0KsalOTjKLTTTs01qmmtmujPP/wBn/wDZV/Z2/ZX8LXfgv9nz4R6R4W02+vTd3tvp0JzPNtC73dyzNhVAAJwO2Mmu8W0tVYMttGCOhCCpKKmnTp0oKEEkl0WiNcVi8VjsRLEYmpKdSWrlJuUm/Nu7fzCiiirOcK4n9pXVPilof7Onj3WvgfYvdeNLPwbqc3hG2igWVpdTW1ka1QI3yuTMEG08HODXbUVM488HG9r9TfC1lh8TCq4qSi0+V7OzvZ+T2fkflZ4l+Lnwz8Lf8Ez7zxlZfGu6i1D/AIRp5l127v431eTxST9sZJEkyftv23LvCV3KNx2gDj0H4YfH3T9R+GXhy/8AiL+3zqdv4huPD9lJr8A+JOnJ5V80CGddqghcSFxgcDGBX1xb/sIfse2n7QL/ALU9t+z34cT4gSXbXT+JVtD532ho/LabbnyxIVzlwu4kls7iTXq32Oz/AOfWP/v2K+EwvCGYUOa2Lcbv7N9fN6rX7/U+4z3ibIsXTUcHh23KTnKVRRTi5f8ALuPLe8I6vmfLzNr3IW1+V/2fvAPhHx1q/gq78AX0Vx4f8M30d9pt3pNyk9syQwTW6J5o3Ky/Ow4OSV68GvqykREjXbGgUDoAMUtfS5JlCybCuip8923e1uy2u+3c+MxuLeMqqfLaysFFFFewcZ/Px/wcg+Nf2hdV/b6u/BXxMm1OPwRpWk2cnw5tpodlpJBJawm7nixxI5uvNRmPzARov3QufRv+CLH7Rfj2b4E674O+LX7XWs+F/D3h6/t7TwVp0njG1sVSNhLJcpGswLsis0WP4V3EL3A/X79oj9k/9nL9rLw/YeF/2jPhFpPiyy0u8N1p0epRtut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"info": {"equation": "9*7=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "e405ea137a99706243bd3d4015c2f60b821b1fb5fd20d2e3cab824a4d5623101"}
+{"episode": 86208, "episode_seed": 1881881255, "split": "train", "timestamp": "2025-10-28T03:51:04.329645", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1881881255, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 6, 3, 4])</answer>", "action": "('move', [6, 6, 3, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "96+6=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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ey09W2vMxvA0jFiWZiFUZJPCgDgV9PV6/CsOTIqOt73f4vQ/O+LswpZjncqlPmajGMeaVuefLFLmlZtXfa7sklzO12V/Lz42+LX7Tmn/8FL9Q+J3jnxTquj/EuH4lPHfajclILixk8/7PtHmfJEiQ/IufkWMDHygGv6hq+IPFvwD+DM37et/8f5/hvpr+NF+KOk2SeIpEZrhYPsFimwZO0fKSuQucEjOCa4eLcNOvTw3LNx/eKOn97r6q2nqfceE3HmA4IeZrE4RV/b0HFXto1f3ZX/5dz5vftd+7HRnMeIj+zZ8dtY0zw18SP2g7L4lx2l81xo/hrxN40s9StjciN1EwtVws0ixtJgsrbQzEAHke2/8ABKW+vp/2dNb0fS765uvBmj/ELV9O+GdzPho20GJo1iS3kBPnW0c/2qGFyTmKJACVAJ0v+Cinwc+F3xp+HXg74f8AxV8EWWt6LdeOkkn0+6DBHZNM1BkOUKsMMAeDXX/sQeH9D8J/szaB4W8MaTBYabpt5qlrYWNrGEjt4Y9SukSNQOgCgAfSubKMvrYHiScKlZ1Gqd7vrdpWer2PlsTnNGrwj9VXNeVRWi7ckFFN80db88m2n7sUlfWTl7vrFeHf8FKvE3xi8G/sG/FPxP8AAJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8AI+XyvGRy7M6GLlTVRU5xk4y2lyyT5X5O1n5M/ml/4I3+PviZpH7Zfh/wF4d8T3kPhzX70z+KNNSceTeG3t7hrZ3VvvMkr5Ur8w3N/Dur9k/2ZviDqn/CXa34I8I/EN73ULTxxezXPh1NTSQ2KSXBADQr80UbjL/NwSzMD6dV8T/2Uf2cv2YfAsTfAD4P6N4UPiP4g6fd62dJtyn2qUCbaTknCrvfagwq7mwBk16P+x1Gg+FF5IEG4+LtZy2OT/p01fm2E4dxNHN44R12moc14325/hWq9fXofq3iZx9l/HGdTzjC4X2cGowtK3M3GPxStdX15Vr8MY69D1aiiiv04/Gz80v+DnrxR8ZdE/Y68K6H4Hlv4vCer+LfK8bSWcf7twkfmWkUzDlYzKrMB90vGmeQoPy9/wAEPfjTquifArxX4Q8cftR6h4L0PTtfibw7psXiu005HeWN3umCyje/Pk5PQE8c5r9bP29PBPhT4kfsyat4C8daDDqmjatreiW+pafc58u4ibVrTKttIOPoQaxP+CfHwz+H/wALPhR4g+H/AMO/CFjo+i6Z4xnjsNOs4sRwqbS0Y4zkklmYkkkkkkmvhc0yyvjeJuWnXlBune66WdrLVaPf1P2XCeIOX0PCB8NSwSlU9vzc+lrX5uba/tP+Xe1vZ9eh8p6T4X+DfgX41fCX4i/sw6lZXvjvxF8WILe88QaJfRahf+ItPuJS2u/bZgzG4hS3DzOzZEMkUO3YSAf0pr4i+CfwC+C/hX9uWH43+Hfhvptp4u1v4l+J7fVNfjRjPPEI9VGzkkKP3UedoGdgzmvt2u7hGhKhhKycm7VJLXytr8+p8VxbmlPMfqsIylNwp6yn8Tcm3yrWXuQ+zd3bcpWjflRXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMeu1+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjPp59mEMty51ZU+dXSs9vn/W9j2vCbhHE8acZU8BQxbw0lGc/aRb51ZWtCzWrvrqvd5n0sfvItjYooRLOIADAAjGAKlAAGAMAdhX5d/sM/tNanrf7LfgHxZ8bP259UtvEz6Wsuo2GoeP7GIhUmcQrJEw3DMKxZDHccktyTX6Bfs7a94h8ReGbrUtWv5Lu0knV9Pu5JC4lVhuYq38SZIII45PpXFlvE+FzPGRw9OnJNpu7tZW9G/wCrdz5XO+Hq+SYuvQqVIz9lOULx2lyycbrydrryPQqKKK+mPnwr8j/+DqTxP8YbLwV8LPCmly38fgO+v7+bWfJjxbzanGsf2ZJXH8Qia4ZEPBwxGSvH64V4B/wUV+F3w9+M3wn8N/Dv4peFLbW9EvvG1ubzTbssI5SlpduuShB4ZQeD2rxeIqTq5JXSdrRv92tvnax9z4bcSYbhLjbB5riKPtYU5O8dL+9FxvG+nNG/NG9tVutzwX/g2+1v4sav/wAE4LW1+I0F0ul2Hi/UbfwVJc2wQSaZiJ2KMBmRBdvdruPdSvRRX3zXkX7C/hbw54H/AGa9K8GeD9Ft9N0rStY1m106wtU2x28KapdKiKPQAfX1r12ujJoOGU0Fe/uR/I8vjLOKWf8AFeNzGlSVONWpOSiul3183vJ9W2zyj9unXvil4X/Y7+JPiH4Kvfp4os/CN5LpEulQebdROIzukhTB3Sqm5lABO4DAJwK+bPgJ440+P9qr4G+EfgL4ubU9HuPCmrnXILCSO6jPh0WEf2e6nfLNHm+hso0fI3s0q84bH3VXxH/wTb+AfwZ+DvxY07xJ8MPhxp2iah4n+HN1da/eWiN5l7N9o01tzlicfNI52jAyx4rxc6oSnnuBmpNavT01/HZ+R3ZJmWW0OH8VRr0uapFTcHZNN1Iez99vVeztz07J+9daX5l+WP8AwcE+LPjVqn/BTTxJpfxDuNRTTtHsNPj8CQzRlI009oEcvABwwa5Nxl+SWUqfugD96v2UNX+KHiD9mH4ea78bba4h8Y3ngrTJvFMV3biGVdQa1jM4dBwjeYWyo6HIr5n/AOCk3wF+DXxd+K8/iv4nfDnTtc1Dwt8NJLrw/c36MxspvOum3qoYKx3RocMCPlHHWvtOxJayhZjkmJck/SlkmHdLPcdeTesf/Jrv8Nl5H1fHfHeB4m4JyTK6OEVKeFg4ylpq0ox922tpW553+13tdy1+dX/BzD4n+MWgfsIaZp3w8mv4vD+q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRT1AP6K15F+3X4S8N+PP2XfEPgrxjo8WoaVqt5pVrqNjPnZPC+p2quhwQcEEjgg17ec0nWyqvBO3uv8Ff8dj4rgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP95I/IL/gh18c/E+kfCjxh4F8d/tUap4O8M6Tqls/hjTV8W2thF50wma7KLMCxGRCxA+UFiRyzV+mP7MOh+EfiB4v0PxH4M8b/wDCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V0//AAT0+FPw3+EPw28V/D34ZeC7DRdE0/xq32PTrOLCR79N092OWJJJZmJJJOTX0BHHHEu2KNVHooxXyeTcPVq9DDYqeJk4rlmoW0VtUl72n3bHu+IHF+F4k4rx2Pw+GVKNaTstL2so3lZfFK3NLV+83q9x1FFFffH5yfz/AP8AwcoeLPjRef8ABQiPw940uNQi8M6R4YspPAcboUgEciK11NERwzm5V1ZvvfukHRVr7D/ZZ/aCtfiD+y14O1D9of8Abav5ta1fw3GfE+jat8QLGNJg+4GGaLhgGiKhlJDYY5IOa++vjn+yf+zh+0xf6Bqfx6+D2i+KbjwveG60GXVbcubSUlC2MEblYxplGyrbRkHFd+bO0JybWMn/AHBXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h+w8R+JmWZ1wLlORU8Co1MGmpT0s9Le7o37/AMdS9vfS33PKf2XfCIsTrnj3dKRrS2kEe7HlskAlIdOOcmcjOSPlGOhr1qgAAYAor6XLcEsuwMMMpX5VvtfW5+S4mu8TXlUatcK/J7xx8bfE/h39jTU/Gvib4u3+jfFaX4lmPVbi5ureHULXxD/bSo9p5cmVijjt1VVGMLaokgO35z+sNedp+yZ+zdH+0DJ+1Snwb0QfEOWy+yyeK/s3+lNF5Qi6527vLAj343bPlzjivOz7J62bxpKnU5OSV/8AgrzXT1ep9NwvneVZRGqsbR9om4TjZRd5U+b93K+1Opze+1d+6vdfT5b0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtnh4vHxxNFU4wUUnfT/hkFFFFfRHnHA/tHaKus/D1GfS1uRZ6lDdBiCTAU3YkGPTOOeME1N+zv4PbwZ8MobJxMHvdQvL+RJxhlM87y4xgYHzcZ5xXcdetFebHLks2eO5tXDkt873udLxLeEVC3W9/lYKKKK9I5j5c/4KN+J/EWh+NPgxpmo61daf4Jv/ABtcjxHcRlUt5b+OzeTS4LmQkbI2uAWUZAeaOFeSVVvm/wAA/H7Ql/aI+Lfh1/2wb3w5oGm6tpaafY2vi+xsYF1A2QF+ke8FpNpS3DEk7ZC6cFWA/RP4qfCr4dfG/wCH2qfCr4s+ELLXvDutQCHU9J1CPdFcIGDDOMEEMqsCCCCoIIIBqH4U/Bv4W/A74fab8KvhL4G0/QfD2jxNHpulWEOIoFZ2dsZySSzMxJJJLEkkmvk8y4dxeOzR4qniHTTilpe68lqtHvvv0Ps8PxBlFHh1YWeH5q6XJe0eXl9p7T2l/i9p/wAu7Wtyfa+yeB/ssaD4V8b+MNB8W+DPF39vWGi397fya1a6lHeLdXUsNxFK0syZVnZrmRiBg7h0ABFfUVIkccS7Y0Cj0UYpa9bJ8r/snCui5ubcnJtq2rt5vt3Pl8ZivrdVT5bWVrBXn3x9/ZT/AGdP2pbTR7H9oT4Q6P4si0C+N3o6atAW+zSkAMVwRlWCruU5Vtq5BwK9Bor06lOnVg4zSafR6ojCYvF4DERr4apKnOO0otxkrqzs1ZrR29CJbGxRQiWcQAGABGMAVKAAMAYA7CiirOcKKKKACvPP2ldFXV/A9pcPpS3P2DVUuVkIJNuwjkTzBj2dlOeMMa9Do69a5MfhPr2CqYfm5eZNX7G2Hq+wrRqWvZ3ON+APhBvBPwssdGcTB5bq8vZFnGGVrm6luCuMDABlwAecAZ5rsqKK0w1BYbDQop3UUl9ysRVm6tSU31bf3nlH7dOvfFLwv+x38SfEPwVe/TxRZ+EbyXSJdKg826icRndJCmDulVNzKACdwGATgV8O+PvjN4E8F/E74H+Hvhb+0i/hzSb7RdSW9vdL8RWkPn6Ctghhllnl3bc3cNqqkHLsJRztbH6c1518FP2SP2av2ctY8Q+IPgd8GdD8M3niu8F14gn0y22m8kDOy5ySFUNI5CLhRuOAK8HOsjxOaYulVpVnDkTXW6v1Vmtej1Wh9bkme5Vl+U1aGJoc9T33DSNpOcFD329UqdueFlL3rr3b8y+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z53G41YtRShyqN9vP7gr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrvzLCzx2BqUIy5XJWv/AF07+RvkmOw+XZpTr14c0FdNaN2lFxvG+nNG/NG+nMkfnZ4Z+PmjWv7UnxT8Jt+11e+GNA01NF8uwtPFllYQJq7W8qXqKXBaRlihsg4JOxyy8EED6u/ZV+I9/wCOdVtG8NfFCTxfpEFvJBd6r/a0d6rFASN8sXyGQMwHY4PPSvVvg/8AA74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5vAcMYzC1KU54uTUGnyq9tOi97bptt0PSznOsvxmJqfVaHLBpRTdlJ8sVHmkldKUrczSk7SfxPduooor7E+YCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArkPj58d/hX+zF8G/EPx9+NviqLRPCvhbTmvdZ1KVGfyowQAFVQWd2YqiooJZmUAEmuvr5N/4Le/BX4n/Hn/gmz448HfB7wleeIdc0/U9C16Lw7p0e+41SDTdYs76e2iT+ORobeTanVmCqOTQB7J+yX+158D/21/hQfjD8BtdvbrTYNWudL1Oy1bSprC+0y/t2CzWt1bTqskEq5UlGAOHU9CK9Or4u/wCCNvhbx/qEH7QX7S/iv4a+JPB+j/GP496j4m8G6B4u0iTT9RGmCxsrRLme1kw9u8sltI2xwG2hSeor7RoAKKKKAPG/2yv28f2c/wBg3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wcI+LNStf+Cf8Ac/DXw18LPHXivWvE/i/QW02x8EeC73WHjWy1eyvZ3mFrG5hXyYJCrNgMwCjk19lfDH4gaV8V/hzofxN0LStWsLLxBpUGoWllr2lS2N7BHLGHVJ7eYLJBKAcNG4DKQQQCKAN2iiigArwL4lf8FL/2TfhF+1ZoX7HPxC8U61p3izxFqNtpum3s3ha9/shtRuYTNb2Daj5X2YXUkYDLFv3YIzjNe+1+cf7d3xrv/jV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/AAUs/ZV/ag+P3iL9mb4Y674hi8XeHNMfU3sfEPhG+0xNS09Lk2rXtlJcxIt3biYbPNjypJGMjmvfa/NX9g7SvFPxA/4LSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/4KX/D/APaF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/8AFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf+C5Hgj4aeJ/gz4V8ReOfBP7QF/rHh681W88C6x+z5a3b6jpetvp0tvA072f7+KOQTOgYfuz8wkIU4IB9meAfGWnfETwNo3xA0jTtSs7TXNKt7+2tNY06Szu4Y5o1kVJ4JQJIZQGAaNwGVgQQCDWtXkn7BKftCR/sUfClP2sGuD8Sh4C0v/hNzeFTP/aX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/BRH4BftkeC/+CxuqfGr9n/SvjCuufEAfDtPhxq/gcXP/CM+VYai8Wu22vtH+5WJLJ5ZUSf5T9oYpl+n7DUAFFFFABXzX8C/+Cqn7NHx+/aeb9kHw54W+JOh+NzpN7qdvZeNPhtqWjw3VnaSrFNPFLdRIske91AZcglhg819KV8efsm+AvHPxV/4Km/tE/tf/EHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf/Z", 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", 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", "info": {"equation": "96+6=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "19e689e43e5f47fa1542001588a997f7a52ad978bc77402749c2eee25f2de200"}
+{"episode": 86209, "episode_seed": 3039666424, "split": "train", "timestamp": "2025-10-28T03:51:04.412225", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3039666424, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 6, 0, 0])</answer>", "action": "('move', [6, 6, 0, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "70-3*10=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "70-3*10=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "bdb142a0e54fc364f2a0635fd362e1ffe45cd5b50b61b403390479e7eec462a5"}
+{"episode": 86210, "episode_seed": 3624428072, "split": "train", "timestamp": "2025-10-28T03:51:04.470107", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3624428072, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 6, 4])</answer>", "action": "('move', [2, 8, 6, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "84/14=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "84/14=6", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "b17d26c93eb09b5868f431faa67f1f4bccb8e2ab7841dc617023b16e0262e19b"}
+{"episode": 86211, "episode_seed": 3823045763, "split": "train", "timestamp": "2025-10-28T03:51:04.547510", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3823045763, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 4, 0])</answer>", "action": "('move', [3, 0, 4, 0])", "reward": 0.0, "image": 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", 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", "info": {"equation": "16*17=272", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16*17=272", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "e998a5bf282317263e99003a6ea92521070ee2bf0259ba5a7ecd198d9873b14c"}
+{"episode": 86212, "episode_seed": 284636975, "split": "train", "timestamp": "2025-10-28T03:51:04.622133", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 284636975, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 1, 7, 0])</answer>", "action": "('move', [4, 1, 7, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "92+86=178", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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RxeKWIai7y5VfXS9parbZaPQ/aM28Q8FneUZBl0MLLDywkOSVWKXM9VFyp6xvflcpXlG85SV9Lun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7PLIuGXUYt3tGOvyR+UZ5jIZhnOIxMY8qnOTt6t7+ffzPyN/4OqPEfxYtfB3wn8LadLep4IvL/AFGfVRFH/o8upxrELYSMP4hE9wVU9cuRnHEn/BOH47x+Kv2IfCGn/Hv9sa/trgWVxp8nh3UvHVnbxnTI5XhggeFvn8swKq4JDFe/INfeH/BQ34SfDb43/DTwr8PPiz4Ptdd0S68bxSXGnXhcI7Jp98yHKMp4YA8Gu0/ZG0PRdI/Zp8GaTpek21va2miRwWtvDCFSKNCVRFA6AKAAPQV8ljcpxGP4irRp15U7wi9L7bW3Wml/mfpGK48wFXwswHD/ANTXtKFacnU01T5mraN8z57Sv0hHf7MX7MHhcaVoGr+KA0n/ABPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfX5fg1gMFTw6d+VWv3PyjEVniK8qlrXPjr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgAr5Hi3K6tRPHKpaMYpOPf3l+Gt/VL5fq/DfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/AMEkPi38QvDn7dF1qfiT41ap4Uj8QabqR8b63JrMVlNO2GmAlmuAcM10IyR94kntmv6Tq+Ov2Hvgb8Ifh3+0zrnjrwT8PNO03WfFmm+IbrxJqMMbGW/mGsW5DOWJxy7HC4GW6V4HEuCqYvHYSMKjg25K66aXutVrpY/T+BOOMDw1wjnWWVsKqssVCKjJ20s2vev0XNzRttNLvdeC/HDRvghq+iXHx1+G3jiz8afFe08T6H/wiXir+2bbV9XGrJdIljZRMCQsbgzBoFAVkaaRgSpdf0/r45+PPwO+EOvft3ad8a9Z+H2nXPivQtY8K2uj65KjGa0he8G5UGdoz5j84z8xwa+xqvhjCzwlXFQlNzana762W/XV319D5XiLNaeOy7BUYuTcIybcunNypU46v3IKF4/DrKVordlfzgft3fFD9onRv+C0/ifxf4h8Uano/ibR/idHaeHL6Vkgex0tZRHZtEX+RIzaMjhjwRIXPLE1/R/Xxv8AGX4I/CXW/wBvi2+OGseANPufFuleI/DllpuuzIzTW9u3l7kUZ2jPmOM4zhiM1XFeHliMLRUZuP7yK089L+q3R9R4VcbYLgrHY6ricKq6rYedNJ20bs7O/wBiW01va2jtY808e6Z+yP8AHd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/7Gnw41/4qXWo3GuXXha3e5utXhEd3cR4PkyzLxiV4fLdsgHcxJAORXnP/AAUf+Bfwf+N8ngvw98W/h5p2v2Niuq31paX0bbEuEigCvhSN2AzDByDnkGvffgr/AMkc8JcD/kWbDoP+neOsMhwNXBZ1iYVKrm1GF2+t9e72tZHzWZ5vSxHDFDCrmb53Kzty01G6tT1fxuXNPSKvGPxbrpq8r/aj+FH7H/xRsvC8X7XOieD7uCx8RxP4T/4S29igU6kwOyOEyOvmu4H+q+YPtGVOBj1Svw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3PtZ5j4Zdl0q0oc6ulZ7avr/W9j1fCvhTEcZ8Z0cuo4p4aTjOXtI35lyxekbNXb2eq93mfSx+4v2S1DbhbR5z12CpK/N79jv8AaWvtc+Cfw+8S/E79tfULvxdqHh+0bVtG1Hx3ZHzbqWPb5bwAB9x3D5c7t2O9ff8A8J7vXL3wDp9z4haRrlkb55s72TcdpbPOduPrXLlXEWGzfEujSpyVle7t3Sto33PlM3yWtk9epSqTjLkm4Xi7p2bV15O2h0VFFFfQninj3/BQTxB8VvCn7EfxS8SfA97xPFdl4KvpdGk06PfcRyCI5eIdd6puZccggEZOK/J3/g1m1v4np+078SND0xLp/CNz4LiuNekEAaJdQS7QWe5zyrmOS9wP4gGJ+7X7fX7FbGZlPIiYj8jXyP8A8EwPgl8Jfgnf6zafCfwDYaDHrfg7Q9Q1YWKtm6uma6BkcsSSfboMnAGTXzGaUJS4hwU+Zr49PRX/ABvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e0UUV9OflgV/O3+xx46/al1P8A4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wAFF7j472PgHT4/GOo+NrywvfEIRjcS2y6C4EfJ2gYRBkAE7Rk18xxHQdWtg5KTX72K08+vyt+J+p+G/GuD4TwGcUK+GVV4rDyhFu3uvVWd/sPmvJLVuMdOq+w6KKK+nPyw/mn/AGffi58f9K/4K1/8Jt8UPiLqvhjxbqHj6+tPG+r3F3FZT2kLO6XUbPKNkKrGpQDooVQvRa/R79ojRv2V/ij8N/F/xH8ZfF6y8d+ItD8JS/2Rr1/4lttV1DRXRjJamyVDiGVrvytu1d0smyM7gQh90+HnwP8AhHpP/BQW6+N+n/D/AE+LxdrHjTVbLUte2MZ57ddLlCxnJKgYjT7oBO0ZzTP+CiPwN+EHxK+Lml+L/Hvw907VdT8KeDnvPDt3dxsTYTm6J8xACFJyiEbgcFQRivyWrlNdZdXre3lyxquPLrZvmS5nrvrfbpuf0BxN4kZbxJxVl+No4Z4ZUqEIv2duZuKcnBapcl/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9ZiuWKR+B1qiq1ZTSSu27LZX6LyR/Pj/wX9+JP7QGgf8FV7rVbrXNW04eFrDR7j4aXMeYvs0Iijm8+3I6n7b9oy/XdHtPCAD9FPhn8UvB/jOLw1B4l/atl8V661rBKNBv/ABvZ3Y+3tb4kKQRYJdd0oAGcAnivr/4kfsxfAD4wfEfwt8Xfib8KNI1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrDcDtYZGDzXbra2qNvS2jBHQhBXxeI4UxeIxNef1pxjUbdld3T6PVLTZb6H6txR4j5dn3DWT5bSwShPBU3CUtPefuq8bK9ny88r688n2u+b+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRX2FCkqFGNNfZSX3Kx+Tzk5zcu58r/tseKNZ0v8Aam+FmjeIdcnsfC0vh/XrmyWR1jtLnXE+yrGkjkjMi2cl8yJ3HmsAdhK/PP7L/wC0h4bm8FS6vq/7b17aW9p4x1hNB0648b2FtCdMi1GZbRfJxnyjEqgZOWTBzzmvvz46/s+fBf8Aaa8AyfC749fDvT/E+gSXUVy2m6kjFBNGSUkUqQysMkZBHDEdCQek0bw14e8O6PaeH9B0S1s7Gwto7aytLeBUjghRQqRqoGFVVAAA6AV8vjuHMXi8zqYmniXTUktr30VrbrTr6s+u/t/Klw/Rwv1e9aOjbUeWyc5Jp6tylzpSTSsoLWXNaHMfAXVde1jwN9t1y5lnDXT/AGSeZizSRYBzk9RnODXa0AADAFFfR4HDSweEhRlJycVa76nyleoq1aU0rX6BXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFY5pgFmeClh3LlTtr6NP9C8LiHha6qJXtf8AIZbQi3t47dSSEQKCfYYp9FFegc5y/wAbr/xzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvzes/jf4W8N3PwBsfCn7TN9oEWr+Gr9/EGpr4gtba5urP7CjSS3Us2THKdRjhVhwTL5ykfIwX9Sa4H4Wfst/s8/BLxl4p+IXwo+EejaFrXja++2eKdRsbbEmoz75H3vkkD55ZGwuAS5OM187neS4jNa9GdOs6fJfa99eq1WvTfY+ryLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj8+/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M8DGYtYucWo8qStYK/MT9o74xa94T8E/GPxD4i+K17oXj61+NhtNNkmuYILqzC6jbppMcKS/KsL6ckMocjBRppCeGI/TuuD1b9l/9n3Xfjxp/7T2sfCbR7jx9pemmw0/xRJb5uYbciRSgOcZ2yyLuI3BXIzjis89ymtm1GnCnU5HGSd/66roe5wxnGWZRVqSxtL2iaTSSi7yi7qEubanPadrtaO0rWfyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+542MxscVCMYwUVG+3n8kFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V7c4QqRcZpNdnqc+FxWKwVdV8PUcJraUW4tdNGrNaaEf2S1DbhbR5z12CpKKKswCiiigCK9WR7OVIY1dzEwRGPDHHAPtXkH7LXgBPDmp6vrkdhNaIun2mlQ2rKQkaW7TMFGRnI83aeew717JRXn4jALEY+jiXK3s+bTvzK34HRTxDp4edK3xW19HcKKKK9A5wrxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/Kq4+N+raB8IfhfrHij46X/hzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP8A7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/wW48OfEvQPEXwb/aP8H/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E//AITeM/gN+wt8HPgn8RY9mv8AhP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/Gf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8AMh46Hmu0r5F/4IU69qV7/wAEtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/goV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wSH+LOoftPftQfHv8Aaw+K/wAIPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af8Atj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/AILo/B3xT8Lvg/8AFyO98A2+tWXxD1rxLpVx/wAIZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8HB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/4Kw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wAEpl/aTT/gnf8ACdf2vG1k/EL/AIRhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P8Af63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8AGf8AY3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx//wAG9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/AIKXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wVQ+Pn7TfjTwnqlhpPhPwv4f8Ahv8AD+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wWa+H/AI38O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//2Q==", "info": {"equation": "92+86=178", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "23a8090fa52ec8465679651fac723a80854e37f14620ed1c8dec2a9e232b1a63"}
+{"episode": 86213, "episode_seed": 2274503832, "split": "train", "timestamp": "2025-10-28T03:51:04.682786", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2274503832, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 1, 0])</answer>", "action": "('move', [3, 0, 1, 0])", "reward": 0.0, "image": 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", 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", 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"info": {"equation": "17/17=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "17/17=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "a7edf60776d7e4055d28661c8f971d9b9b9886444ab8e4afbcf693d53ac39de9"}
+{"episode": 86214, "episode_seed": 2454687403, "split": "train", "timestamp": "2025-10-28T03:51:04.755865", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2454687403, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 5, 4, 8])</answer>", "action": "('move', [5, 5, 4, 8])", "reward": 0.0, "image": 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", 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AB6CvTK7MsjyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjjP/wCCZnxZ8ZXn7EXhP4i/Fz4qXNnPpvxEt7aHxDf6pFC1vY29tDBbRNM/yqgiRIcNyVOO4Nfqj8df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6EivCrvQdE8O/tRQ+GtB0m3s9PsfHml29nZW8QSKGJNBgVEVRwFVQAAOgFfG8Q5NXeYxxSq2VSdOKWt09r/ACtdebe3X9EXH2AxnhrhOGY4RKrh51KkqmlpJ8zS73fPaV9LQjve0fcfgLquvax4G+265cyzhrp/sk8zFmkiwDnJ6jOcGu1oAAGAKK+2wOGlg8JCjKTk4q131PySvUVatKaVr9ArD+Jt34rsPht4hvvAduZdch0O7k0WJYw5e7ELmFdp4bLhRg8GtyiumS5otCpTVOrGbSdmnZ7Pyfkfz8f8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/wARr+gevj39jn4J/Cb4e/tc6/8AEnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/AMEkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmtM7yWvmtejOnWdPkvte+vVWtr032HwTx/l/CvCub5VXwiqyxkIxjLS0Wrp819bLm5o22ml3uvz9+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/AIRLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1cvDGFnhKuKhKbm1O131st+urvr6HzfEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINetnmKp4TK6kpK/MuVLu5aJf10PncDSlWxUUtLO7fZI87/ZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/wBTundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/0OnNFz1lXi7xmtPluha/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx355l88zy6VCM+Vtp3e2j6/1vY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8J/Aj4i+Cf2gf2Y/Auh/tSftVS+KNR1rRtNn8Q+EPEPjq0aC9vAUkjintVw0n7wRt5TE5YAMDyK+nP8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+A4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1OZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P+D/hV4f8ADPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel14d/wAFK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfS16brUZU07XTV+11ufM5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/ABV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+5vgT+zB+z7+zJ4ev/AAp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFfO3hD4IfCLSv8AgorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfndTh7FZa8J7TEOSdSK5Veybbd1r+i3P2HiXxHy7ini/HZxh6EqMJ0mlFWvUtBRtWs0uV7y+PRKNteZfYtFFFfpJ+Hn81f7O3xo/aL0L/grNN4w+I/xP1rwp4q1jxze2HxA1WS+jsZobYzMLqGRpPkiRVjACnhfLQLyq1+jX7RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/AMS22q6horoxktTZKhxDK135W3au6WTZGdwIQ/cnhD4R/sd6R+1J4o+JPgrw/wCDk+Ll/pMSeLZ7K7ibVvsZWHY08IctGjBIPnKruwmSeK8M/wCCiPwN+EHxK+Lml+L/AB78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzLh3E4LAVKssS3Hm+FXs7ySu9fi6vTfqfvvEfiVgOJ+KsBjKeElhVRoQi+RJSfKnLljrFezekYtt2h73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6ZFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+4KKKK9A5zxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V0YjC4fFKKqxvytSXk1szOnVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/wBpLw78JdHtPHXiOyW01vxNFb/6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", "info": {"equation": "1+14*3=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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AB6CvTK7MsjyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/wDB1R4j+LFr4O+E/hXT5b1PBF7f6jPqoiT/AEeXU40iFsJGH8Qie4KqeuXIzjjP/wCCZnxZ8ZXn7EXhP4i/Fz4qXNnPpvxEt7aHxDf6pFC1vY29tDBbRNM/yqgiRIcNyVOO4Nfqj8df2ffgv+014Ak+F3x6+Hen+J9AluorltN1JGKCaMkpIpUhlYZIyCOGI6EivCrvQdE8O/tRQ+GtB0m3s9PsfHml29nZW8QSKGJNBgVEVRwFVQAAOgFfG8Q5NXeYxxSq2VSdOKWt09r/ACtdebe3X9EXH2AxnhrhOGY4RKrh51KkqmlpJ8zS73fPaV9LQjve0fcfgLquvax4G+265cyzhrp/sk8zFmkiwDnJ6jOcGu1oAAGAKK+2wOGlg8JCjKTk4q131PySvUVatKaVr9ArD+Jt34rsPht4hvvAduZdch0O7k0WJYw5e7ELmFdp4bLhRg8GtyiumS5otCpTVOrGbSdmnZ7Pyfkfz8f8G/XjD49ah/wVeF9LNqt3Nrula2/xLuLuAvI0ZVpmkuCwyjG+W2Bbg722/wARr+gevj39jn4J/Cb4e/tc6/8AEnwT4BsNN17xYviqXxHqturedfuuswkFyxIHLE4XAJOSOBX2FXzXCdF0cslFyb9+W/k7fpf1Z+meLfGOD444phmGGw/sYqjThbS7aTbbtppzcsf7sY7bLmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov/AMEkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmtM7yWvmtejOnWdPkvte+vVWtr032HwTx/l/CvCub5VXwiqyxkIxjLS0Wrp819bLm5o22ml3uvz9+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/AIRLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1cvDGFnhKuKhKbm1O131st+urvr6HzfEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K574q2+lXHw+1RdZbbCtsWVgoJVx9wgHvuxXQ14n+2B8VG8MeE7jR9GsJb67tIhObKIc3M7YW3twcE5eRlHTjINetnmKp4TK6kpK/MuVLu5aJf10PncDSlWxUUtLO7fZI87/ZR8Q+FvGn7XGu2+owubrwv4aa18OvJFGYpZnlibUnjbeW3xh7CI/Iu3e4ydxA+sK+Trz4Ha3+zje/D7VNCulutV0G6S/wBTundB/aMlxuXVl3mIAeaZpJVAC/OsWSoGR9YRyJKiyxsGVgCrA5BFefwu/YYOWCmrVKTs13vqn8/0OnNFz1lXi7xmtPluha/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx355l88zy6VCM+Vtp3e2j6/1vY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8J/Aj4i+Cf2gf2Y/Auh/tSftVS+KNR1rRtNn8Q+EPEPjq0aC9vAUkjintVw0n7wRt5TE5YAMDyK+nP8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+A4jjCpXlUfs27vtzWtu9Ovqc2P4gw+NyHFKMHD21W6pq3soXalzx1+PT2a91e437zvY9rrkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXXV+cf/Bzb4k+LGi/sLaJpfgeW9j8Pap41t4PGT2iZRoFikkgSZhysZnRD6F1QHnAP1OZ4qODy+pWlHmUU9O/r5d/I83gfI6vEnF2Cy2lW9jKrUilPZxtreO3vae7qvetqj7z+Dng74P+D/hV4f8ADPwO0rRofB9npUKeHE0R0ltDabcxtE6kiRWB3b8ndndkk5rqFVVAVVAA6ACvxb/4I1fHnWIf2RW8PfE/9r/VfC9ro3iS4tPC+jt41tLFYrHZHIdscoLlfPkmwTx1A4Ffq1+zT4s1jxn4cu9euNdOqadctHLp2oicSpOHUktG4+VkI2kFeOeK8PKuJ8LmOIp4aFKUW15cqsr6eXRaLodfGvC2J4a4gxuEq11VdKpJc93eWu7v9rX3ld2d9Xuel14d/wAFK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfS16brUZU07XTV+11ufM5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/ABV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+5vgT+zB+z7+zJ4ev/AAp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFfO3hD4IfCLSv8AgorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfndTh7FZa8J7TEOSdSK5Veybbd1r+i3P2HiXxHy7ini/HZxh6EqMJ0mlFWvUtBRtWs0uV7y+PRKNteZfYtFFFfpJ+Hn81f7O3xo/aL0L/grNN4w+I/xP1rwp4q1jxze2HxA1WS+jsZobYzMLqGRpPkiRVjACnhfLQLyq1+jX7RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/AMS22q6horoxktTZKhxDK135W3au6WTZGdwIQ/cnhD4R/sd6R+1J4o+JPgrw/wCDk+Ll/pMSeLZ7K7ibVvsZWHY08IctGjBIPnKruwmSeK8M/wCCiPwN+EHxK+Lml+L/AB78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8yzLh3E4LAVKssS3Hm+FXs7ySu9fi6vTfqfvvEfiVgOJ+KsBjKeElhVRoQi+RJSfKnLljrFezekYtt2h73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6ZFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooorahSVCjGmvspL7lYznJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+4KKKK9A5zxb4jfD4+I/2g9OlGmSRCS8029kuoFP70WcqzKWJyMBl2nGOGHcg17TRRXn4HALBVK01K/tJOXpdLQ6K+IdeMFa3KrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V0YjC4fFKKqxvytSXk1szOnVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeRRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOc/mr/Z2+NH7Rehf8FZpvGHxH+J+teFPFWseOb2w+IGqyX0djNDbGZhdQyNJ8kSKsYAU8L5aBeVWv148ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Ze/Z88KfG/W/wBpLw78JdHtPHXiOyW01vxNFb/6TdwgRjaxzgZEMWSAC2wZJxXdR28ER3RQop9VUCvhafCGK1jPFPlcr8qTaet7vVK/yevc/XfETxJy7jPMMNicLglR9lQhTe26ve1l8Eb2it7b2vZPooor7o/IgooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8f/bN/bq/Zy/YI+H2n/En9o7xRfWNjq2qGw0y10jRrjULu5lWGSeVkgt0aQpFBDLNI+NqJGzEivYK+B/+C3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/wDCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/AAivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/wCCWvwo8G+IPh94t8Max4P8Px6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wAFCv2Y/wBtfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8ABQr9mjT/ANsey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/wDBdH4O+Kfhd8H/AIuR3vgG31qy+IeteJdKuP8AhDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/AAVh8IfCHxl+yh9k+OPg74u6x4fsfFemajIfgfa3EviGxuLeUy291CLb9+qpMseXh+dSVPChiNT/AIJTL+0mn/BO/wCE6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v8AjP8Asb/Fn4P/AA+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/8Ag3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/wDBS79nn4yftZap+xZonhr4g6R440yx1G+8rxT8PtQ0yzvbWyuUtp7i2ubiNY7iLzJECyRkq4YEE5FfQdfKH7Ofgfxn8Rv+CqHx8/ab8aeE9UsNJ8J+F/D/AMN/h/dalp8sCXsCo+rapc25kUCWJrm7t4fMTKlrMjOVNAH1fRRRQAV4F8av+CmH7JH7P37UPhn9kH4l+M9TtvGPih9PS1W18P3VxY2T388lvYJd3caGK1a5mikjiEjAuykCvfa/KD/gpH8G/jj4q/4LNfD/AMb+HfgT461eaPUPh23gHWdA0KSbwzLa2mtX82vvrsqjyvNtrWWOW0M53Ru+6H5iaAP1fooooA//2Q==", 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", "info": {"equation": "1+14*3=43", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "c20c7f9cfffa6d8b3b3edd3a59570baa4596e3fdd4d529df281800767de0fc43"}
+{"episode": 86215, "episode_seed": 2145973796, "split": "train", "timestamp": "2025-10-28T03:51:04.816650", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2145973796, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 4, 2, 8])</answer>", "action": "('move', [5, 4, 2, 8])", "reward": 0.0, "image": 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", "info": {"equation": "18*3=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18*3=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "d340e87fa6abff8856c195da1eab7025ef3b679d4ea5153f793edbf03a349241"}
+{"episode": 86216, "episode_seed": 2333528285, "split": "train", "timestamp": "2025-10-28T03:51:04.876748", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2333528285, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 1, 4])</answer>", "action": "('move', [2, 8, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "36/3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "36/3=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "6e38f7cb6fb1802dbdc7f732592881abb085fad301a82b81b66f0e0975c25170"}
+{"episode": 86217, "episode_seed": 3309612460, "split": "train", "timestamp": "2025-10-28T03:51:04.939024", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3309612460, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 2, 8])</answer>", "action": "('move', [0, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "14*3=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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06bSYd9zBCZoxdSxDqHS2M7hh8yldy8gV75R1619bXpOtQlTTtzJq63V1uvQ/KMpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+Xz/AIJZ/Evxv8Ov21fC154W+J934UtNWeSy8T6xbalDakaawEsoaaYFUBaKM56kqAOTg/rzrVp+zR8e/EWjaX8S/jrp/wAT59PuJJtC8PeJ/GNpqlulw0ZDTJZrhJZRHvAZlfarPjGSa+vfgd+xn+yz+zV4h17xX8CPgboPhjUPE0gbW7rTLUq1xh2cKNxIjTc7HYm1enHyjHmn/BSD4K/Cj44aH8PfAPxa8B2Ou6NJ4xnnewuwyoZI9KvijZQq2QSe9fnOL4YxmX5RUnLEu0U24q/K/wAf0P2XjnxOyvjrjahmGFoSw0VCMHNcrq9eZ2Uop/E4pc6vFatXsue/4JEiPTPh58R/Bvw/Z3+F+h/Ee6tvhhJGim1Fo0MUt7FaSrnz7dNQe7RHyw4IDHHH1zXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evt8lpunlFCLd/cj+Kv8Ahsj8m4lx8M0z2viYRspS67uyS5pPrOduab6ybYUjokiGORQysMMrDIIpa4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldOOxlDAYWdeq/divv7L1ex5NCjPEVVThuz5d/a28ff8ACttI1Ow+GMN1eatq99NYeGbezt4pJg4jeWaWON5Y1kEMMc0gBcBjGgON1fU37Oui/DLw/wDAjwjpfwZkik8LL4ftX0OeEqftEDxhxMxH3nk3F3bqzOxPJNfO/wAE/gzqHxgfxF+0hfW0qrpxuNE8A27uObWGYLf3W3ywytPPDsT5jmO2jYYEhB7z9ig6x4En8QfCSYxv4fOoy6t4T2yIpso52ElzZeWEXCrcPLKhy/yTbcr5YB+H4am8ux3JiIKH1hc0X837v3Pb07nuZmlicPenK/s3Z/5/15nv9FFFfoZ86fGX/Be/xf8AHPwZ/wAE2/FeofAybUYZLm/tbTxVdaXFulg0aQutySR8yIT5aOy9Eds4UsR+Qn/BFv4x+Pfh9+0xc+DrP466l4K8H6xpE8/iiW112GwhleGN/sxZ5sruEkgA2/MQxHTOP6Ptb0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZDiMxzOnXp1/Z2Vut1/h1W99dT9r4T8SsDkPhhmPD1XL/azrSuqllyrmSS9o2m+aHLenvr2td/KWveGP2SPj34gGpfFn4q6F8UbzTdHuo7aLxh4utdUTTLNgDdSRRBgkAICb59oYBE+ddor3v/gkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Gpg+I8RTnVc3GKu31vZ66vbZanx+Y53Rr8IUsIuaUpTvyytyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/wDvgV/Mh/wVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8AEfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/+DmTxd8cfDf7E2i6Z8NptRg8L6t4pW28eT2Efym32breKZxykTzAegZgik8gH9HKxviF8PfBPxY8D6r8NfiR4YtNa0HW7J7TVdLv4t8VzC4wysP1BGCCAQQQDVZlhJY7A1KEZcrkrX/rp0fke/wAF5/Q4W4qwebVqKqwozUnB9V5X05l8UX0kkz8Af+CGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/wANfeXj34ffsP8AxqtfEfjb40ePvDvxDni8PiDV/EHifxRbancaVpysSoicMFtFEhLBkClnbBJzivu/4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHyx/wUF/Zr+Avxq/aEvvEPxY+FWk69eeHvhnZzaNNfxsRbObrU3JChgrgtGhwwYfL05OfzvNuHsXlmT89TEOSjb3NeXV9Nel+x+jZ54g5fxZ4hVc2oU54WnO3vU7e1ajFaytKKvJpX95qOnxW19y/4Jza58VPEn7D/wANdZ+NC33/AAkM3hxPtD6paCC5ltw7raySxgDbI9sIXbIByxyAciva65z4PMW+EnhZmOSfDliST/17pXR1+l4eDpYeEG72SV3u7Ldn4/meLjj8yrYmMFBVJykox2jzNvlXkr2XkFfyofG74x/tVab+2fr3xh+I3ijXdK+LOneMHmur6X9xd2N/FJsRFXoioFVFQfIEAUZWv6r6+Avj7+zj8C9f/a08Y/H/AFz4XaXdeM9O+JXh2Gw8Qzxs08CLDoqrtBbZkK7ANtyM8HOK+T4yw8quHoSU2rTS/wDAuvqraerP1zwa8Qcv4CxWYPFYRV/bUrLa6cW/dd/+Xc+b3937sdGU9H+Mfw78R+CrCw+Jn7bk2pNd6XANe0fUviNYNb3EjRqZoZETGULbgVBHHGa+p/2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/AL9ipAAOAK6cBw3WwmYQxVbEyqOKdk13Vt3Jn5bi80hiKMqcKSgpO+m299rBRRRX1J5AUUUUAfO9j8Kv7Z+N0NidIlsUsvF767MLZSEMgmkmLksD8ruxJ9STjFfRFFFeVlWVxyuFSKm5c8nLXz6f8E6sXinipRbVrJIKKKK9U5QrzD9p7Qhquh6NqjaOtwNM1J547nBLWztC8W4Y4AKSOpJ9R616fRXDmWD/ALQwM8PzcvMrX3sb4at9XrxqWvY4j9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFb4WgsLhoUU7qKS+5WIq1HVqym+rbCuR+I3wi0v4h6ha6lcanLayQL5cpijDeZHknHPQgk4PI5PBrrqKnF4PDY6g6NePNF9PT0HRrVaE+em7MitbK2s7KPT7eILDFEI0QdAoGAPyrkvBHwZ0bwT4mn8R2uoST7lZbWF4wBArYzyPvHsOnB7nmuyoqa2BwlepTqVIJunrHyCFerTjKMXpLfzCiiiusyPjL/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+T178aNS0T/AIJ6+OfiH8U/irfaX8UBdapN4luL6aGPUrHxcly7W9qsDZCFJILdIYguPs8SMoKjcf1hrzLVv2M/2Wtd/aCtv2qtY+B+g3HxCs0RbfxTJbE3ClYjErEZ2s6xnaHKlgAoBG0Y+f4gyavnEKSp1OTld/8Ag+qtp6vVH13C2d5RlUasMfRc05QmuVRbbp8/7t81rQqc/vNXa5YvklsfKHw//aI8NWGkaHrniX9vC5l1SKytZtSs7z4jac0LXHlqZUdAMFd+4FQcds19dfs86x4o1jw/dz65dT3FqJlNjcXDFi+QSwDH7y5xz6kjtXffYrP/AJ9Iv+/YqQADgCssuyDFYLGxr1MVKokno79fWT9fWx4uMzKliacoxoxhd306emnyCiiivpjygooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/wDBV39iL9qX9oTU/wBmX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wAE/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/AMW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/AAUb8IftLfEL9iP4i/D/APZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv8A7fMXje7/AGYfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/7CngT9pnS/wBonXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/ANlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/AIOCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/2Q==", 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", "info": {"equation": "14*3=42", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "128af57854c5e7cee87582148b5c18cc092ea37446ebce4f9b674bac38542459"}
+{"episode": 86218, "episode_seed": 3408096580, "split": "train", "timestamp": "2025-10-28T03:51:05.014929", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3408096580, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 6, 2, 7])</answer>", "action": "('move', [7, 6, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "16+90=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "16+90=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "0bd82b451c5ecd2d7c8b4b0c9d10d86de768383670c7820f9079318e965a7b94"}
+{"episode": 86219, "episode_seed": 4029669308, "split": "train", "timestamp": "2025-10-28T03:51:05.099119", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4029669308, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [8, 4, 4, 8])</answer>", "action": "('move', [8, 4, 4, 8])", "reward": 0.0, "image": 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", 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NRAKZg+0xBi0O9RuGVXzMBjuIzXjerfBr4Vr/AMFIIPjcPAth/wAJbFrUGmxa9sbz0tDoTsYhztAJJ5AzgkZwcV+c1sgxOAnRnLEuSdaKsr2u5b7/ABd9N76n7jxT4j4HiXiH6/TwksOo4WNNxSX7y0b8stV+6fMkvivTjH3bv3frKvE/+CkGv/E/wt+wd8WPEPwakvE8SWngi+k06XT03Txfuz5kkY671i3sCOQRkcgV7ZTZYop4mgnjV0dSro4yGB6gjuK/Qq9N1qMqadrpq/a63PxnLMZHL8yoYqUFNU5xk4vaXLJPlfk7WZ/Pj/wRI8Y+OJ7P4qeBbrxHdf8ACM2Xga/1C109pl8q3vpRDHJOoPKs0cUYJ6YjXPQV+2v7JnjTUvHPhaXWovGLeIdKe3t/sWsm9W5W4YKVZllT5XJ2jcV4z6Zrx/49fs6/BD9mXwZZfD/4B/DTTPC2jT6D4lvptP0qIqj3Ei2IeQ5JJJCqOvAUAYAAr63s0RLSJUUKBGMADA6V8NkGS18Hm04yrP8Adct0r2lzRduv2emn3H3/AIlcX4LjHPq+a4bD+zhXeiduZcijG7tpeVruz67vckr88/8Ag5d1/wCKGjf8E97Sx8CyXiaPqXjmxtvGLWqZU2XlzSRrKf4UN0lv7Ftg74P6GV5N+3B4I8J/En9mnW/AfjvQYdU0fVdQ0m31HT7jdsniOp2uVbaQcfQivq86purlNeKdvdl+Cv8AjsfN8EZ3R4c4uwOZ1qXtI0qkZOPdX6X0ut4+aR+XX/BLT4i+F/F/7Aln8M/j1+0/cado732oaZF4PuvG1tYW8+ksw3QvFlZTFI7zq2WBYMRnGK+9P+Caeh6B4P8AFPxf8EfC/SLWx8EWHiqwk06z0y0jjsrbVZbFG1GGDy+MAi2Z06JJI4AHIG34G+HXgXw9/wAE4/EHw40PwpZWuhWvhnxNp9vpcMWIo7UT3sflDvjZx1z755rY/wCCfnwu+Hnwa+Fev/Dv4WeEbPQ9DsPF8v2TTbFSI4y9lZux+YkklmJJJJ5r5PJcurYXNMNOdZz5qTkk+itH3d3pr5bH03E/FWFzl5rWp03TWIrXjTVuSN587m9f4loqOkdVKXvLZ+70jMqKXdgABkkngClrj/jb4wh8LeC5rVZStzqKtBAQB8oI+dj7BSfxIr7XG4qngcJOvU2ir/8AA+b0PzWjSlXqxpx3Z5N4NiX42ftcDXLiJZdN8G2jaqwdEYC7nElrZDlsgrCl3IflxlozkHr9E15L+xl4Um0v4RHx/qdo0V/421CTW5Uk27o7Z1WOzjOEUjbaxwZU5Idn5NetVxZHhp4bLoup8c7zl6y1/Db5G+OqxqYhqPwx0Xogooor1zjPwi/4ONPF3x6g/wCCk/g+y019TFvo/h3Tbn4dRQ2+5ftbXLNJJCMEPKbiNFPUny4xjAWv3O8KzazceF9NuPEUWzUHsIWv02gbZigLjA4HzZ6V8uf8FBvg78LviV8WPB3izx74HsdW1Hwno9xfeG7u7Vi1hcG9tMyoAQN3yKfmBwVBHNfWVfOZRRdLOMc3Ju8o/jG/4Xt6I/S+MeL8JxBwhkmW0sOqcsJTqRlLT3m5LVW1s+Xmd/tyl6uHUmu006d7Bd04hcwrjq+Dj9cV8EfsP/ETxXq/xL+B1jY+LL/UNc1XQdeuPiXb3CRvOreTvvZLtfvW7pq4hiA+XDFkxwQPv2vlH9lr4OfC7wR+2n40+JXhLwNY2Gv+KZfEzeIdWhVvOvjHrEATeSSAAD0UAHqcmjOqLqZjgpKTVpvT5X/S3o2fO5Fj8BhsqxtKvT5pSinB2T15Zw1b1SXtOdNX96EVbXmj+YHwZ8a/tLXv/ByDNqOqrqcviJvitqOn38U1qCyaAqyxAbSMLCunqjKw/hCsCSRn97a+Urf4O/C6D/gpRN8cIvA9iPF0+uf2bLr5VjObQeGwwi5O0DIHIAPGM4r6tpcOUXRhiU5N/vZ7+Vvz6n0XiXxhhOL6+XVKGHVFUcNSptK2rje9rfZW0U9UiO8tbS+tJbLULaOaCaNknhmQMjoRgqwPBBGQQa85/Za+Gf7K/wANvhND4d/ZG0jwrD4Oa/uJoT4UvI7q0e5L4mbzUdwzhl2n5iRtC8AADif+CqXiD4oeFv8Agnd8XNe+Dcl4mv2/hCcwS6fHumityyrdSJ3BW3MzbhyuNw5Ar8k/+CFvxl1rw34L8feCPFv7TmpeCfDVrfWd1o1hF4rttPikvJVkW5dRMCWOyK3zjgYHc0s4z7D5RjqcKlJyvFu6tda7K/prr2LyDgfF5x4c5hntPF8kKNWnF0ru09lzNXtde09zR6c+x+9aqqKERQAOgApa8t/Zb8Yal428M3OtjxU2uaZKIW0/Vvta3CXHykMySL8rg4UkrxkmvUq9jLsbDMcHHERi0pX0e+ja/Q/OMTQeGrOm3ex+b/8Awc6a/wDE/Sf2GNA0rwhJeJ4f1Pxzbw+LWtkyjRLDLJbpKR0QzojDsXRO+AfDv+CaHj/wf4+/YA0H4a/tC/tNTQaZLJeaafBN/wCNrWztZ9MWYqlvJBlZDE/zqVLDepI5U8/pf+3d8P8AwZ8VP2c774efEPw7Bq2iarrmkw6jptzu8ueP+0IG2ttIPVQeCOlcbpPw68CWn/BNfWPhra+E7KPQE8MaxpiaVHFiJbP7RcReSAOQvl/L1zjvXyOc5bWxmd1OSs4fuubTqk2uXdaPf9D9UwfHGDpeG2FyH6tarTxTqe1VrpOOjWz51e2692Mde1H/AIJn6Ro/hV/iz4K+HemW9n4K0zx+g0K0sLWOOztrySwtpNRht/L42LcsSyjhJWkQY2lV+oq8P/YG+G/gP4RfB/VPh18MvCtpomh6Z4quksNMslIjhDRQu2MkkkszMSSSSTXuFfSZBFwyXDq9/dT+/X8Nj4DiXGU8dnlatC9rpXfxS5Uo80rN+9O3NLV+83q93+IP/B0l4o+K0P7T3w10C6ub2LwnaeDnvNBATEB1NruRbplP8UixpZ5B+6GXH3jn6V8E6t8GP2jfhb4L0z9pz9oCz+IGotodrqGpeFvFXjGyurWPUTYkXEptUKjfGr3GM5EYLMMFQw+3f2ivhj+yl8Rr7wZN+07o3hS6uNL8UwTeBz4nu44W/tY/6pLcO6+bK20fuhu37RlTgY43/goN8Hfhd8aPhl4a8BfFXwPY65o9x4zilm0+8VgjuljeshOwg8MAetfMZ5kWIvisYsQ1Fq/Kr62Wz1Xy0eh+k1ePcHj+G8jydYaVGWFdROtFLmfPLV09Y3dtZ3lG8upr/wDBPLVvE2t/sZeBNQ8UXt9dOdNmTTLvUk2z3GmJczJp8r/3i9mtu248sG3HkmvZ64z9nG3t7P8AZ88DWlpAkUUPhDTUiijUKqKLWMBQBwAAMYrs6+1wcXDCU43vaK176H5TmuKjjs0r4mMeVTnKVu3NJu3Ta9gryH9p7wI3jjUtF0z+znP2yC408XkAJkjWZoy6jqBwgbkfwHsDXr1FZZlgVmODlh3LlTa19Gn+hz4au8NWVRK9r/irBRRRXcYH8537B/xq+O2if8FUfEer/FX4ya14O1PxBqetw/EjUZNVi0+Tchlk8mVpvkj23McShQMjAVcDIr9hf2W4/CPxH+Idj4i8K/FJ/GB0zVJL3UtaXW4dQkab7I8CJNLF8owjqAvBwB+Puvg79m34EfD/AOKvib44eDPhbpOneLPGQiHibXbeDE1+IxhN+TgdATtA3EAtkjNdrHFFECIolUHqFXFfF4PhTE0K8KlTEtxjPm5dbOzuuu766H6n4jeIWA41zWGLwuDVFKhCk9t4p32Wyb5Y6/DGN0tk6iiivtD8sPI/2qPBJ8bQaTpg053N1Fd6eLqBSZIhcCMMo6gZ2A8jqn1r1uNBHGsYPCgAZpaK4MPgVQxtbEc1/acunblVvxN6ld1KEKdvhv8AO7Cvnf8A4KE6/rWi2XwvtX1e5sfDt98S4IfEc0RCxPiyu3sop3P3Y3vktQP70nlpzuwfoisD4pfCz4efG34f6p8Kviv4StNd8Pa1b+Rqmk3yForhNwYA4IIIZVYEEEFQQQRVZjhZ43A1KEZcrkmr/wBdO/kdmTYzD4DMqdavHmgrp2SbSknFtJ6c0b80bte8lqtz88vhL8dPA/iBvHOjeKv2wprXRI/iBqtnpegS+NLG1tJrElDLF5X3nha4e6XcTl16HGDX3T+zV4bOheB7zUm8zOs6u99iTpjyYYQV4+6RCD36k9MV1Xgb4eeB/hp4N0r4e+AvC1lpWi6JYRWWlabaQhY7aCNQqIo9AAOvJ6nmtnp0rxco4erZdio16td1LR5UmtFe2129NOyOvOc2wuPrTWGpckG7ra9lor2VuZ7vzuFc58Qvhxp3xCiso769eD7Hcb8ogO9DjcnPTOBzXR0V9BicNQxdF0q0bxe6/E8SnVnRmpwdmhFVUUIowAMAUtFFbkBRRRQB5B+0d4DPjbxZoNgNOf8A0yNrM3kCkuqmWN2XJyAMIG5HY+lev0UVwYbArDYqtX5r+0adu1lY3q13UpQhb4b/AIu5DqTXaadO9gu6cQuYVx1fBx+uK/Lnwv8AHJtGsPgf/bX7R+o+Gdc1uz1mTx/ePrdrY3bzeQ0l8t00oPkuuqLGmwAHcGTHykD9TK4jwH+zb8CPhh8RvFXxb8AfC3SdK8SeNp45vFWsWtvibUZE3bWckkA5ZidoG4nJyea8/O8nr5rOi6VV0+RvVXvqt1ZrXpvs2fQZFnGW5bgcTSxNHnlNLk0Vr8s42k3qkufnTSfvQira80fEv2Uo/CnxC+INl4s8K/ExvFw0u/nu9Q1xdZhv3luDZtbBJpYvlyI5EAXg4RffP1JTY4oohtijVR6KMU6urKMslleGlSlUc25OTb3u7eb7dzw8Zili6qko8qStYju7S1v7WWwvraOaCeNo5oZUDJIhGCrA8EEHBBrj/gh+zt8EP2bfAqfDP4F/DTS/DWhJdy3Q03ToSEM0hBeQliSScAZJ6KAOABXaUV6bhBzUmtV166mccTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgfOP/BQDxBrWj658JLC41a4svDd/wCPJI9akjKrDNdLp9y1hBM5+6jXIUqP4pUiXkkA/MHwT+OXgTxPpPibTvFP7YMq6R/wn2s22k+H7jxrY29rPp4u2Cx+SMM8LOZQDnLrg5IINfoT8XPhB8M/j18O9S+E3xh8GWXiDw5q8aJqWk36ExThHWRc4IIKuisCCCCoIq94P8C+DvAHhTTPA3gvw1Z6bpGjWENlpen2sAWO2t4kCRxoOwVVAH0r5TM+HcVj8xliIYh004paXv6brTr6n1tHPcspZBTwzoXrRdrtR5eXmlLmv8XO3LlellGK1d7R5f8AZx8MP4c8BTXUolD6tqkt8yyjGNyogwMDgiMHn19MV31FFfQ4LDLB4OnQTvyJK/eyPl69V1q0qjVru5+In/B0R4x+L+mftT/DHTU1HUbTwzp/hJtQ8OSw5jjXVftji5kRxyZVRLP3UFSMbjn6z/Z++LWl/Ebwf4Jbx1+1HceLPFt1oVpc3Ph+/wDGFndMupPZjzyltCA3mLvmGBnaC3HHH2n8YP2cvgb8f7rw9efGf4Y6V4jl8J6ymq+HX1KEubG7TBEi4Iz0GVOVO0ZBwK7JbW2Rt6W6AjoQgzXzGN4XxONxtaqsS4xqW0V3fS1nqlZdN9D9NzjxBwGY8GZTk1PBqNTBqpzT097nldcul1fed95aox/hr4cXwf8ADvQfCaNIRpmjW1qDLjcfLiVOcADPFbdFFfXU4KnBRXRWPy6T5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8d/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/ABj+394d0zwJ8HvFGvWPxT8OeAtE0vxLo+kvPYeH7jQfHKa3fyX0y/LaJ9iYyRs+BI8RRctgUAfpjRRRQAV5d4A/bE+BvxM/ad8bfsh+ENZ1Cfxp8PtKstQ8TW0ukTxW0UN1nyvLndQkx4+YITtPBOQQPUa+LvA/xWju/wDgul438OL8LPiDFaSfA3R9Ai8U3PgS/j0OW/tr6/1CWNNRMf2dwILyAAhsGTfGPmQigD7RooooAZPPFawPc3EgWONCzsegAGSa8h/ZG/bs/Z2/bds/E9x8B9e1aafwfq0dhr+na94eutMu7dpYhNbzeTdRo5hmiYSRSAbXXkV69cTLb273DozCNCxVFySAM4AHU+1fEP8AwRu+J2oftD+Jvjp+1J8Rfhb4/wDCHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/sx/tLfCX9r34J6P8AtAfBHWLq98O62bhLZr/T5bS4hmgnkt54JoJVV4pY5opI2RgCGQ1H+1f4r0PwX+zf4z17xR4Z8a6vpY0Ka31Oy+HFvPLrv2afEEstktsyzedGkjSqYT5q+XlMsAD4r/wRS8DePvhx/wAE6PBvhTx94O17QTHq+vT6Bp3iyy+z6wNHm1i8m0+TUEIDC8e1eGSUuN5dyX+YtQB9WUUUUAecfta/tX/BP9iP4Aa9+0x+0N4kl0rwn4cWA6jdW9o9xKWmnjgiSOJAWkdpJEUKBnnPQV6FZXcGoWcN/bEmOeJZIyRglWGR+hr8/wD/AIOMfgx+1J8bP2MBov7PnwJ/4WJpWl2mtX/ijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/AA3e+N/DSaLrU2g2b6vo8V6LlbG6MKGWATBVEoR9y7wq7tucDOKAN+iiigDx34mftwfB34WftQ+GP2Q9Y8P+M9R8X+KtNg1C1bw94Mvb+wsLWa4lt45r26hRo7OMyQyDdKVHy9a9ir4B/wCCh3hLxj/w8t+BPjj9nzwp8aYfiPLrnh+w1XXPDsE48GXHg+PULyXV7fVJE/cmVIZZGRJvm3yQGLJ34+/qACiiigDybwX+2v8AAH4hftR+Jf2QPCGuane+MPCNis+vPFoNz/ZtvIUhka0+3bPs7XSxXEEjQB96pKrEdces1+Yv7DPwY/al+D//AAWt+LsUtj8Trfwjr/iTxb4g8Vy6qZ/+EQvLC9XRpNCksN37lr8SDUY5in7wJDtf5RHX6dUAFV9X1OHRdJutYuYZ5I7S3eaSO2haSRlVSxCIoJdjjhRyTwKsUUAeI/sb/t+fAz9uOXxdZfCHRfGml33ge/tbPxJpXjjwXeaJd2stxCZ4QYbtEc7o8P06Mp6MM+3V8w/8EuvBni7/AIQf4pftD/ETwtqeka38XPjX4h8QCx1qxktruHS7eddK0xJI5QHQGx063kUEDiXI4Ir6eoAK4n9o39oX4XfsqfBbXfj98ZtXuLLw54egjkvpbOxkup3aSVIYoooYgzyyySyRxoiglmdQOtdtXzJ/wWL8JeNPHP8AwTn+IXhfwP4L1nxBNcNpLanpfhuya41RtLTVrOTUJLGNQWN5HaLcSQlPnEsaFPmC0Aew/s2ftGfCz9rL4LaL8fPgxq11eeHtdWcWrX+ny2lxDLDPJbzwTQSqrwyxzRSRujAFWQiu6r5f/wCCN3hLxf4I/wCCefgvw74v8Fa74fEep67LomneK7JrfV/7Jl1m9l0+bUEcBxeS2jwSzGT940kjM/zFq+oKACvHf2xP28f2af2EPDmg+KP2kfGV1pVt4j1ZrDTFsNJnvZDsiaae4dIEZo7eCJWklmYBI0GWIyK9ir88f+DiH4CePPjF+z/4ZvvgunxBPjxk1/wt4ch8D+BRrsN/HrmlyWNxY32XX+z4Jl2D7ecrBsJIyy0AfoXb3EF3bpd2sySRSoHjkjYFXUjIII6gin1gfCrwtfeBvhf4b8E6pcrNc6PoFnY3EynIkkigSNmBPqVJrfoA/9k=", 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", "info": {"equation": "15+8*10=95", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+8*10=95", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "cc45f58b6356cea3f8a264330e30dff923343fd286b70e3f99ff817d5df030d1"}
+{"episode": 86220, "episode_seed": 4002770697, "split": "train", "timestamp": "2025-10-28T03:51:05.175194", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4002770697, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 6, 2, 7])</answer>", "action": "('move', [4, 6, 2, 7])", "reward": 0.0, "image": 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", "info": {"equation": "51+80=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "51+80=131", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "94417e374dcc2403e4f04edff6f5eb9a00baa3c94db3f205eb6c43f214413990"}
+{"episode": 86221, "episode_seed": 2810002490, "split": "train", "timestamp": "2025-10-28T03:51:05.258927", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2810002490, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 1, 1])</answer>", "action": "('move', [3, 0, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+15*2=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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b7P6U+GV34qv/AIb+Hr7x1A0WtzaHaSazE8YQpdGFDKCo4Uhy3A4FblFFfQxXLFI/O6s1Uqymkldt2Wy8l5H85X7CXxg+Nmj/APBVnxB4i+LPxb1bwfrOuajrtv8AETVZtSh0+ZSDJI0EjzDbGBcxQKEXpsVRxX6NW+j/AAauPjl8PfjR8JvGVp4s+I998WNItT4si1W31XU7q2dBBf2zyqTtt00v7QzIoAQIJMBjuPtH7P3wZ+Ffhj9urxT8VtB8CWFt4k8S3PiCLXdYRGM14kV3bCNW3EgAADhQM4BOSBS6t8GvhWv/AAUgg+Nw8C2H/CWxa1BpsWvbG89LQ6E7GIc7QCSeQM4JGcHFfl1DK68FTquvJx9vy8vnzW5t9/kfunFniJl/EnESx9HDOhGOEjBxjb32o35J2a/dXfL9puEY+6n8P1lXif8AwUg1/wCJ/hb9g74seIfg1JeJ4ktPBF9Jp0unpuni/dnzJIx13rFvYEcgjI5Ar2ymyxRTxNBPGro6lXRxkMD1BHcV+m16brUZU07XTV+11ufi2WYyOX5lQxUoKapzjJxe0uWSfK/J2sz+fH/giR4x8cT2fxU8C3XiO6/4Rmy8DX+oWuntMvlW99KIY5J1B5VmjijBPTEa56Cv21/ZM8aal458LS61F4xbxDpT29v9i1k3q3K3DBSrMsqfK5O0bivGfTNeP/Hr9nX4Ifsy+DLL4f8AwD+GmmeFtGn0HxLfTafpURVHuJFsQ8hySSSFUdeAoAwABX1vZoiWkSooUCMYAGB0r4bIMlr4PNpxlWf7rlule0uaLt1+z00+4+/8SuL8Fxjn1fNcNh/ZwrvRO3MuRRjd20vK13Z9d3uSUUUV98fmR8nf8FwPEHxQ8Nf8ExPifqHwolvI72SwtrfUpbBN0iabLdRR3nTkIYGkDkdELHgZNfOn/BrdqvxFu/2SvHmla9Fcf8I1aeOFPh2SWABDM9shulRurAEQEjoCx9TX6CftNadY6x+zj4+0jVLVZ7W78G6nBcwP92SN7WRWU+xBI/GuA/4J+/C/4efBr4V6/wDDr4WeEbPQ9DsPF8v2TTbFSI4y9nZux+YkklmYkkk8185Xot8UUanM/wCHLTpo/wD7b8EfpeB4vwmG8KsXw48MnUqYiFRVNNEorTvdctl05Zy26+71+Kn/AAdSeIfiiPjH8LPDFzJeJ4MXw1dXengR4gk1T7QUnO4fekWEW3B+6JOPvtX7V15n+0t8MP2UviZp3hi3/ar0bwpd21j4ptpvCg8VXccKnVsMIUhLuvmSsN2IhnfjlTiu3O8BPMsunQjPlbtq9tGnqcnhhxXQ4L4zw+a1sO68YKa5Y25veg1eN+qv91z4X+EPiH4V/tGfA/4faR+05+0HbeO9Wn0Kwv8AU/B/ijxhZXNqdS+x/vGezTAZk3ykK2Qh5xlQR9if8E4tR1fU/wBjfwjLqN9eXVpC2oW/h26vl/eTaNFf3Eemvn+NTZJbFX5LoVbJzmoP2/vhJ8NPjJ8JNF+HvxQ8GWetaLfeL7U3mnXQYJKUhuHXJQq3DKDwe1d1+y1Y2Wlfs4eB9L0y0jt7a18MWcNtbwoFSKNIlVUUDoAAAB2ArxMmy+tl+e1YVKzqP2a1fnL1e1tPU482zyhmGQOnCDg51nNQVuSCSlpDX7TnquWKShHWV/d72ud+LMGmT/DvVRqzYiW2LKwUEiQEbMZ77sfnXRV4x+2F8SLzw74Nl8P+G7RrvU9iyQWi9Jrh28u2izg43TMmTjgc8ivczvEww2V1XJXuuVLu5aJHy2Bpyq4qKWlne/ZLU439iXXfDXjL41/ELV3jJ1LR7az0rSnljjw1ksk32iSFg5Zg14kkUgKrg2sXXrX0zXzL4Q+D91+zh8YvAdp4euvOgs9NbTNXnmkjVr23ulVp5S3ljL/bYo5sDZ8rP3IU/TVcfDUlTy94WStOk3GS+d0/mmbZmubEe1TuppNf5fIh1BrlLCd7JczCFjCMdWwcfrX86X/BMz42fGzRv+CjPiXUPir8bda8HXviNtXb4k6hNrEWnySXSNJJsmaYbVcXW0BQMjJUYUsK/ozr5P8A2Xvgz8KvBv7aPjT4keF/AdhZa94pl8TN4h1WNCZb4x6xAE3liQMA9FAB6nNcvEuDqYvEYSMKjg3Jq66XV77rtb5n33AnGWC4a4dzrA18KqrxdKMYt291pta36e9zK32oR9Vc/ZSj8KfEL4g2Xizwr8TG8XDS7+e71DXF1mG/eW4Nm1sEmli+XIjkQBeDhF98/UlNjiiiG2KNVHooxTq9bKMslleGlSlUc25OTb3u7eb7dz87xmKWLqqSjypK1iO8tbS+tJbLULaOaCaNknhmQMjoRgqwPBBGQQa85/Za+Gf7K/w2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/4KpeIPih4W/4J3fFzXvg3JeJr9v4QnMEunx7porcsq3UidwVtzM24crjcOQK/JP8A4IW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzXn5xn2HyjHU4VKTleLd1a612V/TXXsfoeQcD4vOPDnMM9p4vkhRq04uld2nsuZq9rr2nuaPTn2P3rVVRQiKAB0AFLXlv7LfjDUvG3hm51seKm1zTJRC2n6t9rW4S4+UhmSRflcHCkleMk16lXsZdjYZjg44iMWlK+j30bX6H5xiaDw1Z0272Pzf/wCDnTX/AIn6T+wxoGleEJLxPD+p+ObeHxa1smUaJYZZLdJSOiGdEYdi6J3wD4f/AME0fH3g/wAffsA6D8NP2hf2mpoNMlku9NPgm/8AGtrZ2s+lrMVS3kgyshif51KlhvUkcqef1s+Lnwh+Gfx5+HmpfCf4w+DbLxB4c1eNE1LSb9CYpwrrIucEEEOqsCCCCoIri/2g/hb8OtC/Y88UfCXSPBthbeGrbwTNpNvo0MO2GOyEHkiAAchfL+XrnHevnc5yDE4vF1MXCu4LktZX1tut1o/z6H6dg+P8DT8PsLw39WtVp4l1vaq10mrJrZ86btulyxjr281/4Jn6Ro/hV/iz4K+HemW9n4K0zx+g0K0sLWOOztrySwtpNRht/L42LcsSyjhJWkQY2lV+oq8P/YG+G/gP4RfB/VPh18MvCtpomh6Z4quksNMslIjhDRQu2MkkkszMSSSSTXuFexkEXDJcOr391P79fw2PhuJcZTx2eVq0L2uld/FLlSjzSs3707c0tX7zer3f4g/8HSXij4rQ/tO/DXQbq5vYvCVp4Oe80LCYgOptdyLdMrfxSLGlnkH7oZcfeOfpXwTq/wAGP2jfhb4L0z9pv9oCz+IGotodrqGpeFvFXjGyurWPUTYkXEptUKjfGslxjORGCzDBUMPfv+Cmnwc+F3xei8LD4neBrHWxoWka5qWkLfKxFtdxrabJQAQCRno2Qe4NdT+3z8H/AIX/ABq+E3hTwJ8VvBFjrmj3Pi+CWewvFYI7pYXrKTsIPDAHrXxub5bWrYvH1Y1nFQUW10leN7PXZW00Z+mVuO8DjuF8hymNB0Z4V1FKrC3N70lrBXi7tayvKN5dbGv/AME57vW7z9ij4ftrUl08cWkyQaNLewCOSXSY7mWPTnIHB3WS2zBv4gQx5Ne11xn7ONvb2f7Pnga0tIEiih8IaakUUahVRRaxgKAOAABjFdnX6Bg4ezwdON72ilf5H5NmuKjjs0r4mMeVTnKVu3NJu3Ta9gryH9p7wI3jjUtF0z+znP2yC408XkAJkjWZoy6jqBwgbkfwHsDXr1FZZlgVmODlh3LlTa19Gn+hz4au8NWVRK9r/irBQenFFFdxgflrpPxxvdE0j4Ny+Jv2hdR8L+J9a1/XB8Qbp9YtbG7Ewhu5NQiuDLnyBHqC28YQAYwijjivp79luPwj8R/iHY+IvCvxSfxgdM1SS91LWl1uHUJGm+yPAiTSxfKMI6gLwcAfj7r4O/Zt+BHw/wDir4m+OHgz4W6Tp3izxkIh4m1y3gxNfiMYXfk4HQE7QNxALZIzXaxxRRAiKJVB6hVxXxeD4UxNCvCdTEtxjPm5bOzs7p77vq7H2PEHEOW5hXcsHh+RSi7tpJ3lKUmrR+zHm5I6q8Yp2jflTqKKK+0PjjyP9qjwSfG0Gk6YNOdzdRXeni6gUmSIXAjDKOoGdgPI6p9a9bjQRxrGDwoAGaWiuDD4FUMbWxHNf2nLp25Vb8TepXdShCnb4b/O7Ciiiu8wMT4k6WNb+H2t6M2nrdrd6VPC9qwOJVaMqV455BPSuX/Zr8MvoHgi91CQShtY1d70rKMY/cxQjHHQiEHn1PbFeh0VwzwKnmMMXzfDFxt6tO/4G6ruOGdG27Tv6BX4r/8AB074p+LFn8avhToIu7+38IQ+Hbm+0t4gUhOrC5KzMHHWRIRbYz90SZH3zX7UVxXxp/Zy+Bv7Rdpo1h8cPhjpXiaHw9rMeq6NHqkJcWt3GCFkXBGeDypyrdwcCsM6y+pmeXyw8JcrdtfR31PtvDTi/CcDcYUM4xND2sIKacVa/vRcbxvpdX+658PfsxfGSy+JHwz+Ht58Tf2qbnxR4wvPD9jdXvh3UvGVpcH+03tQZcW0WG8xS0g2jO3J44r72+FHhgeC/hnoPhQNIf7P0qCE+djfkIOuAOa3VtbZG3rboGHQhBmn1y5RklXLa861Wu6jkktVslr1bPmc1zSGZVZShSVNOTlaOyv0Wi0WwVzmo/DbS9R+IFp4/lunEttDtNuEG12GQrZ6jAJ49h6HPR0V7FfDUMSoqrG9mpL1WzPLp1alJtxdrq3yZznjD4b6X4w1/S9fvLp4202Xc0aqCJlBDBSe3zAc+hI9x0dFFFLDUKNWdSEbSm02+9lZfgEqtScVGT0WxDqTXaadO9gu6cQuYVx1fBx+uK/Lnwv8cm0aw+B/9tftH6j4Z1zW7PWZPH94+t2tjdvN5DSXy3TSg+S66osabAAdwZMfKQP1MriPAf7NvwI+GHxG8VfFvwB8LdJ0rxJ42njm8Vaxa2+JtRkTdtZySQDlmJ2gbicnJ5rx87yevms6LpVXT5G9Ve+q3Vmtem+zZ9JkWcZbluBxNLE0eeU0uTRWvyzjaTeqS5+dNJ+9CKtrzR8x/ZF+I8njfV1t/DPxgl8aaZaxTR3mpPrcV/sfO9VeSH5Q4LDAODtPfivoWmxxRRDbFGqj0UYp1duVYCrl2GdKpVdRtt3fn03f5ng4vERxNXnjFRVrWX9Iju7S1v7WWwvraOaCeNo5oZUDJIhGCrA8EEHBBrj/AIIfs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFeg4Qc1JrVdeupMcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgFc/wDFfShrnw21vR205btbnTpUa2YE+YCORgck46e9dBRWVel7ajKne3Mmr+qsVCXJNS7HAfs4+GG8O+AZruTzQ2rapLfMsoxjcqIMcDgiMHn19MV39FFZYLDLB4OnQTvyJK/eyLr1XWrSqNWu7nxb+3N45tvD/wC0Z4mtvib4yn0nw9ZfBF7rQDPIkcGWuboanNEW4kmRY9NBHO0PHx+854j9nv4taV8RvBngh/G/7Ulz4s8WXWhWdzceH9Q8YWdyy6k9mPOK20IDeYu+YbRnaC3HHH2p8Yf2cfgZ+0BdeHr34z/DHSvEcvhTWU1Xw6+pQlzZXaEESLgjPRcqcqdoyDgV2S2tsjb0t0BHQhBmvl8bwvicbja1VYlxjUtok3dWtZ6pWXTyPq63EGWf2Xh6VKh+9ilzNqKS5VZcjV373xTvb3tr7mP8NfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiivr6cFTgororHyEnzSbCiiirEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/Hb9vb9mL9m/47+A/2cPi145nsPFXxGuBF4ftodLnmhj3zJbwvdTRqUtUluJEgjaUqJJWCDJr2SvzO/4Kq/BP43+Mf2/vDumeBPg94o16x+KfhzwFoml+JdH0l57Dw/caD45TW7+S+mX5bRPsTGSNnwJHiKLlsCgD9MaKKKACvLvAH7YnwN+Jn7Tvjb9kPwhrOoT+NPh9pVlqHia2l0ieK2ihus+V5c7qEmPHzBCdp4JyCB6jXxd4H+K0d3/wXS8b+HF+FnxBitJPgbo+gReKbnwJfx6HLf219f6hLGmomP7O4EF5AAQ2DJvjHzIRQB9o0UUUAMnnitYHubiQLHGhZ2PQADJNeQ/sjft2fs7ftu2fie4+A+vatNP4P1aOw1/Tte8PXWmXdu0sQmt5vJuo0cwzRMJIpANrryK9euJlt7d7h0ZhGhYqi5JAGcADqfaviH/gjd8TtQ/aH8TfHT9qT4i/C3x/4Q8dePfHFtNqug+NfAl9o0Wl6NaRS2ej2VvJdRIt6620Dzzyx5Cy3hXgBcgH3DRRRQBzPxk+LXhH4E/C/Wvi747GoNpOg2RubuLSNLmvruUZCrHDbwK0k0jMyqqIpZmYACsf9mP9pb4S/te/BPR/2gPgjrF1e+HdbNwls1/p8tpcQzQTyW88E0Eqq8Usc0UkbIwBDIaj/av8V6H4L/Zv8Z694o8M+NdX0saFNb6nZfDi3nl137NPiCWWyW2ZZvOjSRpVMJ81fLymWAB8V/4IpeBvH3w4/wCCdHg3wp4+8Ha9oJj1fXp9A07xZZfZ9YGjzaxeTafJqCEBhePavDJKXG8u5L/MWoA+rKKKKAPOP2tf2r/gn+xH8ANe/aY/aG8SS6V4T8OLAdRure0e4lLTTxwRJHEgLSO0kiKFAzznoK9CsruDULOG/tiTHPEskZIwSrDI/Q1+f/8AwcY/Bj9qT42fsYDRf2fPgT/wsTStLtNav/FGgW2sC2u0k/sqe3srqCERSvfPDJcSTLaooaSSOLDKV5+5vhVdeKL74X+G73xv4aTRdam0GzfV9HivRcrY3RhQywCYKolCPuXeFXdtzgZxQBv0UUUAeO/Ez9uD4O/Cz9qHwx+yHrHh/wAZ6j4v8VabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/AMFDvCXjH/h5b8CfHH7PnhT40w/EeXXPD9hquueHYJx4MuPB8eoXkur2+qSJ+5MqQyyMiTfNvkgMWTvx9/UAFFFFAHk3gv8AbX+APxC/aj8S/sgeENc1O98YeEbFZ9eeLQbn+zbeQpDI1p9u2fZ2uliuIJGgD71SVWI649Zr8xf2Gfgx+1L8H/8Agtb8XYpbH4nW/hHX/Eni3xB4rl1Uz/8ACIXlhero0mhSWG79y1+JBqMcxT94Eh2v8ojr9OqACq+r6nDouk3WsXMM8kdpbvNJHbQtJIyqpYhEUEuxxwo5J4FWKKAPEf2N/wBvz4Gftxy+LrL4Q6L400u+8D39rZ+JNK8ceC7zRLu1luITPCDDdojndHh+nRlPRhn26vmH/gl14M8Xf8IP8Uv2h/iJ4W1PSNb+Lnxr8Q+IBY61YyW13DpdvOulaYkkcoDoDY6dbyKCBxLkcEV9PUAFcT+0b+0L8Lv2VPgtrvx++M2r3Fl4c8PQRyX0tnYyXU7tJKkMUUUMQZ5ZZJZI40RQSzOoHWu2r5k/4LF+EvGnjn/gnP8AELwv4H8F6z4gmuG0ltT0vw3ZNcao2lpq1nJqEljGoLG8jtFuJISnziWNCnzBaAPYf2bP2jPhZ+1l8FtF+PnwY1a6vPD2urOLVr/T5bS4hlhnkt54JoJVV4ZY5opI3RgCrIRXdV8v/wDBG7wl4v8ABH/BPPwX4d8X+Ctd8PiPU9dl0TTvFdk1vq/9ky6zey6fNqCOA4vJbR4JZjJ+8aSRmf5i1fUFABXjv7Yn7eP7NP7CHhzQfFH7SPjK60q28R6s1hpi2Gkz3sh2RNNPcOkCM0dvBErSSzMAkaDLEZFexV+eP/BxD8BPHnxi/Z/8M33wXT4gnx4ya/4W8OQ+B/Ao12G/j1zS5LG4sb7Lr/Z8Ey7B9vOVg2EkZZaAP0Lt7iC7t0u7WZJIpUDxyRsCrqRkEEdQRT6wPhV4WvvA3wv8N+CdUuVmudH0CzsbiZTkSSRQJGzAn1Kk1v0Af//Z", 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", "info": {"equation": "18+15*2=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "c3fa4d23181190fb29107310d8813ff8785bc69634c11eb62367aded724015be"}
+{"episode": 86222, "episode_seed": 3756217291, "split": "train", "timestamp": "2025-10-28T03:51:05.317651", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3756217291, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 6, 4])</answer>", "action": "('move', [2, 8, 6, 4])", "reward": 0.0, "image": 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8XZvSzHDYOjGU5uEXJzn8Xv8AL+7XvS/dw5W43au5zfLG9grwP/gqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a+tr0nWoSpp25k1dbq63XofM5TjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8vn/BLP4l+N/h1+2r4WvPC3xPu/ClpqzyWXifWLbUobUjTWAllDTTAqgLRRnPUlQBycH9edatP2aPj34i0bS/iX8ddP+J8+n3Ek2heHvE/jG01S3S4aMhpks1wksoj3gMyvtVnxjJNfXvwO/Yz/AGWf2avEOveK/gR8DdB8Mah4mkDa3daZalWuMOzhRuJEabnY7E2r04+UY80/4KQfBX4UfHDQ/h74B+LXgOx13RpPGM872F2GVDJHpV8UbKFWyCT3r85xfDGMy/KKk5Yl2im3FX5X+P6H7Lxz4nZXx1xtQzDC0JYaKhGDmuV1evM7KUU/icUudXitWr2XPf8ABIkR6Z8PPiP4N+H7O/wv0P4j3Vt8MJI0U2otGhilvYrSVc+fbpqD3aI+WHBAY44+ua8Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez19vktN08ooRbv7kfxV/w2R+TcS4+GaZ7XxMI2Updd3ZJc0n1nO3NN9ZNsKR0SRDHIoZWGGVhkEUtcR8aviHD4U0N9BsZG/tHUISsO0D92hOGc/qB7/SunHYyhgMLOvVfuxX39l6vY8mhRniKqpw3Z8u/tbePv+FbaRqdh8MYbq81bV76aw8M29nbxSTBxG8s0scbyxrIIYY5pAC4DGNAcbq+pv2ddF+GXh/4EeEdL+DMkUnhZfD9q+hzwlT9ogeMOJmI+88m4u7dWZ2J5Jr53+CfwZ1D4wP4i/aQvraVV043GieAbd3HNrDMFv7rb5YZWnnh2J8xzHbRsMCQg95+xQdY8CT+IPhJMY38PnUZdW8J7ZEU2Uc7CS5svLCLhVuHllQ5f5JtuV8sA/D8NTeXY7kxEFD6wuaL+b937nt6dz3MzSxOHvTlf2bs/8/68z3+iiiv0M+dPjL/gvf4u+OXgz/gm34r1D4Gy6jC9zf2tp4qutLi3Sw6NIXW5JI+ZEJ8tHYdEds4UsR+P/wDwRc+Kfi74f/tT3Gh2fxnvPBXhnV9DnbxPfWusW9gsohRjbK0swIB85xhV5O49s4/pF1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/AGbP2UdB1Dwz+zx8HtI8K2Wq3a3WpRafExNxKqhFLvIzMQB0GcDLEAFjn5XOOHsTmWYwxNOu4JK3W69LNb311XzP2fhTxQyvh7w1zDhqtgVUqYiTcZ6cvvKKvO+vNT5b07X1tta7+M9e8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/BJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8ABQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACvPyHA1MHxHiKc6rm4xV2+t7PXV7bLU+TzHO6NfhClhFzSlKd+WVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/wCCr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8ABcfxd8cvE3/BST4gWHxtl1FY9JvxaeELa9i2RRaMButjAB8pRwzOWH3nZ8/NkD+lOviT/goR+zj8Cvjf+0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/4Jqa/8Y/FH7Bvws174/W93F4suPCcB1IX9qIZ2QFhA8iDG12gETHIBJYkgEkV7jXOfB5i3wk8LMxyT4csSSf+vdK6Ovp8PB0sPCDd7JK73dlufmGaYyOYZnXxUaapqpOUlGPwx5pN8sfJXsvJBX8pXx7+Kn7Tbftj698VvivrWr2fxU0/xn9purm8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1rxLX/gb+wPqX7YenfE/wAR+G/AL/G1bRZdOe51CEazJEkDosy2xk3SFYVcCTYSFTggIMeFxDk9XNoUlCrycsuvW/6rp6vU/VvB/wARcF4fV8wniMC8T7alZWSvHlu7SvtSlf8AePX4YuzPlS98f/B/4o/C6Dwd8cP20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQep/Y00Pw58Mv+Cg1z8O/2btLttN8LXvw6mvviboPh61iXTLLUFnt00qd1j+W3upYTdgqNpkihRyGwGr6a/bX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/Bz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV8/TyrEYHiTCwqYiVRtSd3e9knpu9H1PnMFxBh4cP42PLJc6cVSVvZXnZOctfihZOCUH70YtyXLZ/VlFFFfoZ+fHxN8efGOvRf8FG9X8P8AxP8AEdzZaXZ/De0k+GlheSLDZ3QkllbV5oiSPOnQw2gccmOLnAU5Pin7MH7RWh6va+PE1H9t3UtJ0O0+Jurw+DbZPGun2UZ03dG5aJCuXi+1PdhJDnegUgkYJ/QT9ob9lj9nr9q/wxZ+Df2ifhRpXivTtOvftdjb6kjZt5thQujoysuVYggHB4yDgY6/w74S8L+EvD9j4U8MeHrOw0zTLOK006wtLdUitoI1CRxooGFVVAAA4AFfGYnhjGV8zq4mGJcFLte/o9Vouh91X4lyWeSwoxw163LCErqKhFQVueD1k51LJzulZ82suZcvy3+z94Y8HfE3WtBuPBHjEa9Yad4j/tW61qy1OO8+0XSSPNI00yZUs8jktjBy3GK+tabHHHEu2KNVHooxTq9vJcp/sjDypuo5uUnJtq29vN9u58jjcX9cqKXLZJWsFFFFewcYV5h+09oQ1XQ9G1RtHW4Gmak88dzglrZ2heLcMcAFJHUk+o9a9PorhzLB/wBoYGeH5uXmVr72N8NW+r141LXscR+zx4JbwD8LrbR5BOHutQvtQkS5ADI11dS3BXGBgAyYAPOMZya7eiit8LQWFw0KKd1FJfcrEVajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmRWtlbWdlHp9vEFhiiEaIOgUDAH5VyXgj4M6N4J8TT+I7XUJJ9ystrC8YAgVsZ5H3j2HTg9zzXZUVNbA4SvUp1KkE3T1j5BCvVpxlGL0lv5hRRRXWZBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/ACOqpinUwsKNvhvr6hRRRXqnKeZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox8/xBk1fOIUlTqcnI79fv06rp6vVH6/4R+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", 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", "info": {"equation": "64/4=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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8RaNpfxL+Oun/ABPn0+4km0Lw94n8Y2mqW6XDRkNMlmuEllEe8BmV9qs+MZJr69+B37Gf7LP7NXiHXvFfwI+Bug+GNQ8TSBtbutMtSrXGHZwo3EiNNzsdibV6cfKMeaf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+c4vhjGZflFScsS7RTbir8r/AB/Q/ZeOfE7K+OuNqGYYWhLDRUIwc1yur15nZSin8Tilzq8Vq1ey57/gkSI9M+HnxH8G/D9nf4X6H8R7q2+GEkaKbUWjQxS3sVpKufPt01B7tEfLDggMccfXNeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6+3yWm6eUUIt39yP4q/wCGyPybiXHwzTPa+JhGylLru7JLmk+s525pvrJthRRXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/wBK6cdjKOX4WVeq7KK+/sl5vY8ihRniKqpw3Z4j+1V8RfE/jbxRY/Dz4Z3I/tzxDqQ0LwswRHEMjKz3N8UaRQ6QQxzTnB+YRIvVgD9C/Cv4aeFPg58OdF+F3giwFvpeh6fHa2iADcwUfNI5H3ndtzs3VmZmPJNeHfsY+ApfG3jnW/2ltes2W1g+0eHfA0UpU7bSKYLe3gUxhkM9xCEX5jmK2jYYDnP0jXjcOYSqqM8dX/iVnzPyj0X3fp2O3MqsOdUKfww0+fVhRRRX0h5p8Zf8F7/F3xy8Gf8ABNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f8A/gi58U/F3w//AGp7jQ7P4z3ngrwzq+hzt4nvrXWLewWUQoxtlaWYEA+c4wq8nce2cf0i6xpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyuccPYnMsxhiaddwSVut16Wa3vrqvmfs/CnihlfD3hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138Z694Y/ZI+PfiAal8WfiroXxRvNN0e6jtovGHi611RNMs2AN1JFEGCQAgJvn2hgET512ive/8AgkvfeJLr9jqxsb+W8m8O6b4k1ax+Hd1fW6xvP4bhunTTnGMb4/JACOfvRqhyQQxxv+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFefkOBqYPiPEU51XNxirt9b2eur22Wp8nmOd0a/CFLCLmlKU78srclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/AL4FfzIf8FX/AIgftC6l/wAFJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8QtPh2XTIGdWiC/Jz1Xt04r4aHGGDw+KrQnQatK14pXdtLy21+8/cuPfC3MeG+GMpx1TMVXVaGkG3andKdqWrvDXVpR1s7e9p+kqqqDaqgAdABS15V+zb4v8R+Mhe6zLrTanpN1Alxa34n82KRn+YGJxlWVlOflOMbcdefVa+qyzHwzPBxxEYuKd9H5Ox+K4rDywtZ0272Ciiiu85wr+az/guP4u+OXib/gpJ8QLD42y6isek34tPCFtexbIotGA3WxgA+Uo4ZnLD7zs+fmyB/SnXxJ/wUI/Zx+BXxv/AGhb3xH8XPhfpfiC98O/DKzl0WbUUdvsrm61NyQoYKwLRocMCPl6cnPyXGlJzyfn5rcsk7d76frc/XfBjjnA8B8UzxmKw/tYzpyhpbmi7p3jfSztyy20d9bWftX/AATU1/4x+KP2DfhZr3x+t7uLxZceE4DqQv7UQzsgLCB5EGNrtAImOQCSxJAJIr3Guc+DzFvhJ4WZjknw5Ykk/wDXuldHX0+Hg6WHhBu9kld7uy3PzDNMZHMMzr4qNNU1UnKSjH4Y80m+WPkr2Xkgr+Ur49/FP9ps/tj698VvixrWr2XxU0/xn9purq8jEdzY6jbzDylVDlUERjjVFHyBUUD5QK/q1r4C+Pv7OPwL1/8Aa08Y/H/XPhdpd14z074leHYbDxDPGzTwIsOiqu0FtmQrsA23Izwc4r5PjLDyq4ehJSa99L/wLr6q2nqz9b8GvELL+AsVmDxWEVf21Ky2unFv3Xf/AJdz5vftd+7HRmJe+P8A4P8AxR+F0Hg744ftoTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9T+xpofhz4Zf8FBrn4d/s3aXbab4Wvfh1NffE3QfD1rEumWWoLPbppU7rH8tvdSwm7BUbTJFCjkNgNX01+2v4f0TW/wBkf4jaLq2lQT2l54RvYLqB4xtkjeIqynHYqSPxryj/AIJ7fAf4Ofs9/FPx54O+Cfw707w3plz4f0W6ubXTkbEsxudUXezOzMx2qoGTwBxivOp5ViMDxJhYVMRKo2pO7veyT03ej6ny+C4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj4m+PPjHXov+Cjer+H/if4jubLS7P4b2knw0sLyRYbO6EksravNESR506GG0Djkxxc4CnJ8U/Zg/aK0PV7Xx4mo/tu6lpOh2nxN1eHwbbJ410+yjOm7o3LRIVy8X2p7sJIc70CkEjBP6CftDfssfs9ftX+GLPwb+0T8KNK8V6dp179rsbfUkbNvNsKF0dGVlyrEEA4PGQcDHX+HfCXhfwl4fsfCnhjw9Z2GmaZZxWmnWFpbqkVtBGoSONFAwqqoAAHAAr4zE8MYyvmdXEwxLgpdr39HqtF0Puq/EuSzyWFGOGvW5YQldRUIqCtzwesnOpZOd0rPm1lzLl+W/2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3Pkcbi/rlRS5bJK1gooor2DjCvMP2ntCGq6Ho2qNo63A0zUnnjucEtbO0LxbhjgApI6kn1HrXp9FcOZYP+0MDPD83LzK197G+GrfV68alr2OI/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRW+FoLC4aFFO6ikvuViKtR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzI7O0gsLSKxtYwkUMaxxqOygYA/IVJRRXQkoqyMm23dhRRRTAKKKKAPIf2mNClutf0HxFHoglktLe4tre7RGZ1854WeLjjDGGIjuSvFdt8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlPMvij+xp+y18avivoXxy+K3wP0HXfFvhryv7E1y/ti01t5UhljHBAcJISyhwwBJxjNekmztCcm1j/wC+BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFFFFABXhH7THgiTX/HLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7CvyevfjRqWif8ABPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz/EGTV84hSVOpycrv/wAH1VtPV6o+u4WzvKMqjVhj6LmnKE1yqLbdPn/dvmtaFTn95q7XLF8ktj5C0X4x/DzxH4I0+w+Jv7bk2pNd6VbjX9H1H4jWDW9xI0SmaGRExlC24FQRxxmvqj9l/wAGm213XviS7TZ1WwsrGPcB5bpBJcyb14ycm5IJyR8o9DXr32Kz/wCfSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+m299rBRRRX1J5AUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFQaraS6hplzYQ3LQvPA8aTJ1jLKQGHuM5oA+eP2d/wDgq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/AASt/Zv/AGmbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8FE/2YP8Agn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/wcf+LdWl/YNi+Cng/4R+P/ABd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8FMv2Uv23vHHiT4YfBXXvEFt4m8K2cF9qvh3xd4SvtGvfsM5xDeRw3kUbSQPxiQDHzL6jPtXjnxTB4G8E6x42utIv9Qi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/AAVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wP8AAr9oPXviRFZW9/8ADKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/wCCjfhD9pb4hfsR/EX4f/shRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8FBf2X/2+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/CoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4//YU8CftM6X+0Tr3i/wAIQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/wDspftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/wDBwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD/9k=", "info": {"equation": "64/4=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "a08ebb97d4db28e50708b5c46bad81413528140ab34aca59548b7178b3c153ea"}
+{"episode": 86223, "episode_seed": 109109844, "split": "train", "timestamp": "2025-10-28T03:51:05.383635", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 109109844, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 1, 3, 0])</answer>", "action": "('move', [4, 1, 3, 0])", "reward": 0.0, "image": 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jIt7p9Q+1IObcRan9kiXGACyJ0YCvha38aftJXP8Awcox313/AGpJr0XxhbTkhktQWTw5houEIwIf7MJfcP4SX6nNfpz+z18Hfhf4S/bs8U/Fnw54IsrPxL4luPEEWu6zEredeRxXdsI1YkkAAAcKBnAJyQKXWfg98L3/AOCkUHxxfwRZN4uj1qDTI9fZWM6Wh0J2MQ52gEk8gZwSM4OK/OaODnHAUY+0emJt+Nr/AIX9Wz9wyXj7JckzHMalPBc0cTg6lNJqKtOo3OzS09mubk01lGEXaPwr6wrxP/gpBr/xP8LfsHfFjxD8GpLxPElp4IvpNOl09N08X7s+ZJGOu9Yt7AjkEZHIFe2U2WKKeJoJ41dHUq6OMhgeoI7iv0KvTdajKmna6av2utz8ayzGRy/MqGKlBTVOcZOL2lyyT5X5O1mfz4/8ESPGPjiez+KngW68R3X/AAjNl4Gv9QtdPaZfKt76UQxyTqDyrNHFGCemI1z0Fftr+yZ401Lxz4Wl1qLxi3iHSnt7f7FrJvVuVuGClWZZU+Vydo3FeM+ma8f+PX7OvwQ/Zl8GWXw/+Afw00zwto0+g+Jb6bT9KiKo9xItiHkOSSSQqjrwFAGAAK+t7NES0iVFCgRjAAwOlfDZBktfB5tOMqz/AHXLdK9pc0Xbr9npp9x9/wCJXF+C4xz6vmuGw/s4V3onbmXIoxu7aXla7s+u73JKKKK++PzI+Tv+C4HiD4oeGv8AgmJ8T9Q+FEt5HeyWFtb6lLYJukTTZbqKO86chDA0gcjohY8DJr50/wCDW7VfiLd/slePNK16K4/4Rq08cKfDsksACGZ7ZDdKjdWAIgJHQFj6mv0E/aa06x1j9nHx9pGqWqz2t34N1OC5gf7skb2sisp9iCR+NcB/wT9+F/w8+DXwr1/4dfCzwjZ6Hodh4vl+yabYqRHGXs7N2PzEkkszEkknmvnK9FviijU5n/Dlp00f/wBt+CP0vA8X4TDeFWL4ceGTqVMRCoqmmiUVp3uuWy6cs5bdfd6/FT/g6k8Q/FFfjH8LPDFzJeJ4LXw1dXengR4t5NU+0FJzuH3pFhFtwfuiTj77V+1dfLn/AAUx+Dnwu+M2jeFtK+Kvgex1610qHVtR0+3v1YpDdR28eyXAIyRuPBypzyDV8U03UyOrZ2tZ/ijn8LOKcNwdxths0xFH2sYqasrX96DV430ur/dc+bvhD4h+Ff7RnwP+Huk/tOftB23jvVptCsNQ1Lwh4o8YWVzbf2n9j/eM9mmAzJvlIVshDk4yoI+wP+CbE17J+xd4OgeW4k061+32vhiW5iCNJokN/cRaYwxwyGyS2KP/ABJtbJzms39tT4TfDb4zfs+eE/h/8UvBtnrWjah4g083mn3QYJKUtZnXJQq3DKDwe1ek/stWNlpX7OHgfS9MtI7e2tfDFnDbW8KBUijSJVVFA6AAAAdgK83JcvrYDPakalZ1H7NO785er2t+JwZvnlHMMhdKMHBzrOagrckElLSGv2nPVcsUlCOsr+73tZ3i3XovDHhq916bH+jW7OoI6t0UfiSBWjXjH7YXxIvPDvg2Xw/4btGu9T2LJBaL0muHby7aLODjdMyZOOBzyK+gzfG/UMvnVXxbR85PRfifKYOh9YxEYPbd+i3M39kDw6fEvi3xd8b9SjWRpbv+wNFnZFJ8m2ctdyK4Yn57t3jYEKf9DTg4Br3mub+D/wAO7P4TfC/QvhzZT+cNI02OCa5IUNcTYzLM21VBZ5C7k4GSxOK6StMswawGAp0OsVr67t/eTiqzxGIlU7/l0IdQa5SwneyXMwhYwjHVsHH61/Ol/wAEzPjZ8bNG/wCCjPiXUPir8bda8HXviNtXb4k6hNrEWnySXSNJJsmaYbVcXW0BQMjJUYUsK/ozr5P/AGXvgz8KvBv7aPjT4keF/AdhZa94pl8TN4h1WNCZb4x6xAE3liQMA9FAB6nNeFxLg6mLxGEjCo4Nyauul1e+67W+Z+kcCcZYLhrh3OsDXwqqvF0oxi3b3Wm1rfp73MrfahH1Vz9lKPwp8QviDZeLPCvxMbxcNLv57vUNcXWYb95bg2bWwSaWL5ciORAF4OEX3z9SU2OKKIbYo1UeijFOr1soyyWV4aVKVRzbk5Nve7t5vt3PzvGYpYuqpKPKkrWI7y1tL60lstQto5oJo2SeGZAyOhGCrA8EEZBBrzn9lr4Z/sr/AA2+E0Ph39kbSPCsPg5r+4mhPhS8jurR7kviZvNR3DOGXafmJG0LwAAOJ/4KpeIPih4W/wCCd3xc174NyXia/b+EJzBLp8e6aK3LKt1IncFbczNuHK43DkCvyT/4IW/GXWvDfgvx94I8W/tOal4J8NWt9Z3WjWEXiu20+KS8lWRbl1EwJY7IrfOOBgdzXn5xn2HyjHU4VKTleLd1a612V/TXXsfoeQcD4vOPDnMM9p4vkhRq04uld2nsuZq9rr2nuaPTn2P3rVVRQiKAB0AFLXlv7LfjDUvG3hm51seKm1zTJRC2n6t9rW4S4+UhmSRflcHCkleMk16lXsZdjYZjg44iMWlK+j30bX6H5xiaDw1Z0272Pzf/AODnTX/ifpP7DGgaV4QkvE8P6n45t4fFrWyZRolhlkt0lI6IZ0Rh2LonfAPh/wDwTR8feD/H37AOg/DT9oX9pqaDTJZLvTT4Jv8Axra2drPpazFUt5IMrIYn+dSpYb1JHKnn9bPi58Ifhn8efh5qXwn+MPg2y8QeHNXjRNS0m/QmKcK6yLnBBBDqrAgggqCK4v8AaD+Fvw60L9jzxR8JdI8G2Ft4atvBM2k2+jQw7YY7IQeSIAByF8v5eucd6+dznIMTi8XUxcK7guS1lfW263Wj/Pofp2D4/wADT8PsLw39WtVp4l1vaq10mrJrZ86btulyxjr281/4Jn6Ro/hV/iz4K+HemW9n4K0zx+g0K0sLWOOztrySwtpNRht/L42LcsSyjhJWkQY2lV+oq8P/AGBvhv4D+EXwf1T4dfDLwraaJoemeKrpLDTLJSI4Q0ULtjJJJLMzEkkkk17hXsZBFwyXDq9/dT+/X8Nj4biXGU8dnlatC9rpXfxS5Uo80rN+9O3NLV+83q93+IP/AAdJeKPitD+078NdBurm9i8JWng57zQsJiA6m13It0yt/FIsaWeQfuhlx945+lfBOr/Bj9o34W+C9M/ab/aAs/iBqLaHa6hqXhbxV4xsrq1j1E2JFxKbVCo3xrJcYzkRgswwVDD37/gpp8HPhd8XovCw+J3gax1saFpGualpC3ysRbXca2myUAEAkZ6NkHuDXU/t8/B/4X/Gr4TeFPAnxW8EWOuaPc+L4JZ7C8VgjulhespOwg8MAetfG5vltati8fVjWcVBRbXSV43s9dlbTRn6ZW47wOO4XyHKY0HRnhXUUqsLc3vSWsFeLu1rK8o3l1sa/wDwTnu9bvP2KPh+2tSXTxxaTJBo0t7AI5JdJjuZY9OcgcHdZLbMG/iBDHk17XXGfs429vZ/s+eBrS0gSKKHwhpqRRRqFVFFrGAoA4AAGMV2dfoGDh7PB043vaKV/kfk2a4qOOzSviYx5VOcpW7c0m7dNr2CvIf2nvAjeONS0XTP7Oc/bILjTxeQAmSNZmjLqOoHCBuR/AewNevUVlmWBWY4OWHcuVNrX0af6HPhq7w1ZVEr2v8AirBQenFFFdxgflrpPxxvdE0j4Ny+Jv2hdR8L+J9a1/XB8Qbp9YtbG7Ewhu5NQiuDLnyBHqC28YQAYwijjivp79luPwj8R/iHY+IvCvxSfxgdM1SS91LWl1uHUJGm+yPAiTSxfKMI6gLwcAfj7r4O/Zt+BHw/+Kvib44eDPhbpOneLPGQiHibXLeDE1+Ixhd+TgdATtA3EAtkjNdrHFFECIolUHqFXFfF4PhTE0K8J1MS3GM+bls7Ozunvu+rsfY8QcQ5bmFdyweH5FKLu2kneUpSatH7MebkjqrxinaN+VOooor7Q+OPI/2qPBJ8bQaTpg053N1Fd6eLqBSZIhcCMMo6gZ2A8jqn1r1uNBHGsYPCgAZpaK4MPgVQxtbEc1/acunblVvxN6ld1KEKdvhv87sKKKK7zAxPiTpY1v4fa3ozaet2t3pU8L2rA4lVoypXjnkE9K5f9mvwy+geCL3UJBKG1jV3vSsoxj9zFCMcdCIQefU9sV6HRXDPAqeYwxfN8MXG3q07/gbqu44Z0bbtO/oFfHv7bfjO30L9p9rL4meLJdK8L2/wbvLrR2uZEitnmN241OVWbG+aKBLD5TnakpOPmNfYVcV8af2cvgZ+0XaaNYfHD4Y6V4mh8PaxHqujR6pCXFrdxghZFwRngnKnKt3BwKwzrL6maZfLDwlyt216aO+p6vD+PwOX5hz4yLdNxcXypOSv1jzWV76PVaNnw/8Asy/F/R/iD8Nvh/N49/aouvE/ii50GyuJvDup+L7OZvt7Ww34tYgGEq7nGwfdyRjivvX4UeGB4L+Geg+FA0h/s/SoIT52N+Qg64A5rdW1tkbetugYdCEGafXLlGSVctrzrVa7qOSS1WyWvVsxzTM6eYVHKnSVNOTlZbK/RaLRbBXOaj8NtL1H4gWnj+W6cS20O024QbXYZCtnqMAnj2Hoc9HRXsV8NQxKiqsb2akvVbM8ynVqUm3F2urfJhRRRW5BDqTXaadO9gu6cQuYVx1fBx+uK/Lnwv8AHJtGsPgf/bX7R+o+Gdc1uz1mTx/ePrdrY3bzeQ0l8t00oPkuuqLGmwAHcGTHykD9TK4jwH+zb8CPhh8RvFXxb8AfC3SdK8SeNp45vFWsWtvibUZE3bWckkA5ZidoG4nJyea8DO8nr5rOi6VV0+RvVXvqt1ZrXpvs2fT5FnGW5bgcTSxNHnlNLk0Vr8s42k3qkufnTSfvQira80fMf2RfiPJ431dbfwz8YJfGmmWsU0d5qT63Ff7HzvVXkh+UOCwwDg7T34r6FpscUUQ2xRqo9FGKdXblWAq5dhnSqVXUbbd359N3+Z4OLxEcTV54xUVa1l/SI7u0tb+1lsL62jmgnjaOaGVAySIRgqwPBBBwQa4/4Ifs7fBD9m3wKnwz+Bfw00vw1oSXct0NN06EhDNIQXkJYkknAGSeigDgAV2lFeg4Qc1JrVdeupMcTiYYeVCM2oSabjd8rcb2bWzau7N7XdtxFVUUIigAdABS0UVRgFc/8V9KGufDbW9HbTlu1udOlRrZgT5gI5GByTjp710FFZV6XtqMqd7cyav6qxUJck1LscB+zj4Ybw74Bmu5PNDatqkt8yyjGNyogxwOCIwefX0xXf0UVlgsMsHg6dBO/Ikr97IuvVdatKo1a7ufFv7c3jm28P8A7Rnia2+JvjKfSfD1l8EXutAM8iRwZa5uhqc0RbiSZFj00Ec7Q8fH7zniP2e/i1pXxG8GeCH8b/tSXPizxZdaFZ3Nx4f1DxhZ3LLqT2Y84rbQgN5i75htGdoLcccfanxh/Zx+Bn7QF14evfjP8MdK8Ry+FNZTVfDr6lCXNldoQRIuCM9Fypyp2jIOBXZLa2yNvS3QEdCEGa+XxvC+JxuNrVViXGNS2iTd1a1nqlZdPI+rrcQZZ/ZeHpUqH72KXM2opLlVlyNXfvfFO9ve2vuY/wANfDi+D/h3oPhNGkI0zRra1BlxuPlxKnOABnituiivr6cFTgororHyEnzSbCiiirEFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeN/Hb9vb9mL9m/47+A/2cPi145nsPFXxGuBF4ftodLnmhj3zJbwvdTRqUtUluJEgjaUqJJWCDJr2SvzO/wCCqvwT+N/jH9v7w7pngT4PeKNesfin4c8BaJpfiXR9Jeew8P3Gg+OU1u/kvpl+W0T7ExkjZ8CR4ii5bAoA/TGiiigAry7wB+2J8DfiZ+0742/ZD8IazqE/jT4faVZah4mtpdInitoobrPleXO6hJjx8wQnaeCcggeo18XeB/itHd/8F0vG/hxfhZ8QYrST4G6PoEXim58CX8ehy39tfX+oSxpqJj+zuBBeQAENgyb4x8yEUAfaNFFFADJ54rWB7m4kCxxoWdj0AAyTXkP7I37dn7O37btn4nuPgPr2rTT+D9WjsNf07XvD11pl3btLEJrebybqNHMM0TCSKQDa68ivXriZbe3e4dGYRoWKouSQBnAA6n2r4h/4I3fE7UP2h/E3x0/ak+Ivwt8f+EPHXj3xxbTaroPjXwJfaNFpejWkUtno9lbyXUSLeuttA888seQst4V4AXIB9w0UUUAcz8ZPi14R+BPwv1r4u+OxqDaToNkbm7i0jS5r67lGQqxw28CtJNIzMqqiKWZmAArH/Zj/AGlvhL+178E9H/aA+COsXV74d1s3CWzX+ny2lxDNBPJbzwTQSqrxSxzRSRsjAEMhqP8Aav8AFeh+C/2b/GeveKPDPjXV9LGhTW+p2Xw4t55dd+zT4gllsltmWbzo0kaVTCfNXy8plgAfFf8Agil4G8ffDj/gnR4N8KePvB2vaCY9X16fQNO8WWX2fWBo82sXk2nyaghAYXj2rwySlxvLuS/zFqAPqyiiigDzj9rX9q/4J/sR/ADXv2mP2hvEkuleE/DiwHUbq3tHuJS008cESRxIC0jtJIihQM856CvQrK7g1Czhv7YkxzxLJGSMEqwyP0Nfn/8A8HGPwY/ak+Nn7GA0X9nz4E/8LE0rS7TWr/xRoFtrAtrtJP7Knt7K6ghEUr3zwyXEky2qKGkkjiwylefub4VXXii++F/hu98b+Gk0XWptBs31fR4r0XK2N0YUMsAmCqJQj7l3hV3bc4GcUAb9FFFAHjvxM/bg+Dvws/ah8Mfsh6x4f8Z6j4v8VabBqFq3h7wZe39hYWs1xLbxzXt1CjR2cZkhkG6UqPl617FXwD/wUO8JeMf+HlvwJ8cfs+eFPjTD8R5dc8P2Gq654dgnHgy48Hx6heS6vb6pIn7kypDLIyJN82+SAxZO/H39QAUUUUAeTeC/21/gD8Qv2o/Ev7IHhDXNTvfGHhGxWfXni0G5/s23kKQyNafbtn2drpYriCRoA+9UlViOuPWa/MX9hn4MftS/B/8A4LW/F2KWx+J1v4R1/wASeLfEHiuXVTP/AMIheWF6ujSaFJYbv3LX4kGoxzFP3gSHa/yiOv06oAKr6vqcOi6TdaxcwzyR2lu80kdtC0kjKqliERQS7HHCjkngVYooA8R/Y3/b8+Bn7ccvi6y+EOi+NNLvvA9/a2fiTSvHHgu80S7tZbiEzwgw3aI53R4fp0ZT0YZ9ur5h/wCCXXgzxd/wg/xS/aH+InhbU9I1v4ufGvxD4gFjrVjJbXcOl2866VpiSRygOgNjp1vIoIHEuRwRX09QAVxP7Rv7Qvwu/ZU+C2u/H74zavcWXhzw9BHJfS2djJdTu0kqQxRRQxBnllklkjjRFBLM6gda7avmT/gsX4S8aeOf+Cc/xC8L+B/Bes+IJrhtJbU9L8N2TXGqNpaatZyahJYxqCxvI7RbiSEp84ljQp8wWgD2H9mz9oz4WftZfBbRfj58GNWurzw9rqzi1a/0+W0uIZYZ5LeeCaCVVeGWOaKSN0YAqyEV3VfL/wDwRu8JeL/BH/BPPwX4d8X+Ctd8PiPU9dl0TTvFdk1vq/8AZMus3sunzagjgOLyW0eCWYyfvGkkZn+YtX1BQAV47+2J+3j+zT+wh4c0HxR+0j4yutKtvEerNYaYthpM97IdkTTT3DpAjNHbwRK0kszAJGgyxGRXsVfnj/wcQ/ATx58Yv2f/AAzffBdPiCfHjJr/AIW8OQ+B/Ao12G/j1zS5LG4sb7Lr/Z8Ey7B9vOVg2EkZZaAP0Lt7iC7t0u7WZJIpUDxyRsCrqRkEEdQRT6wPhV4WvvA3wv8ADfgnVLlZrnR9As7G4mU5EkkUCRswJ9SpNb9AH//Z", 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", 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", "info": {"equation": "10+76/2=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+76/2=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "3115d9c5d6d41c36e31347c5cbeced0e54cc623d44344479649b57ec1be1eb1c"}
+{"episode": 86224, "episode_seed": 3747749248, "split": "train", "timestamp": "2025-10-28T03:51:05.426759", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3747749248, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 7, 1, 4])</answer>", "action": "('move', [2, 7, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "26-2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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ZQ00wKoC0UZz1yoA5OD+vOtWn7M/x78RaNpXxM+Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmtD/gnd+zd8B/g58WfAHi34X/AAs0rRdT8SeAbuXXb61jYyXjeTYyfMXZsDe7NtXAyenAx7F/wUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5RhspxFXh+piVXkoxv7mtnb5/oft3iH4i5bxhx3QxuGoSw8VCMHNWdX7V3ZOKejcUudXju1eyxP+CSt7dJ4B+IvhPwff3F38M9B+IU9j8Lp3IktksRbwtdQWk2T51rFfNdRRtlgAm0MQuB9Z14x+wL4V8N+Bf2brTwX4N0O20zSdK8S67a6bp9nHsit4U1W6Coo7AD8T1OSa9nr9JyWDp5RQTd/ci9fNX/DY/HeJcfDM89r4mEbKUuu7slHmlbec7c031k2wr+dX/g4T8W/HDXf+CkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P8A+xz+y/8AtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rnz/ACqrm+B9hTnyu6euz8n+fqj7Twk49wHh3xU8zxmHdaDpyhpbmi3ZqUb2V9OV6r3ZP0f54/8ABP8A/aU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8ABe7xf8c/Bn/BNzxXqHwMm1GGS5v7W08U3WlxbpYdGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mnj34fftM3Pg2z+OupeCvCGsaRPceKJbXXYbCGV4Y3+zFnmyu4SyADb8xDEdM4/oN/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8tyPwtzLh+rglUqVpXU9LPm5Ved9eanbmptX1tta7w/Anjr4e+MvF8P9j/tEHx3rcVpJHY2914tttRnt4WeNpRFHDggM0cO44P3E6d/rj4J+CU+HHwk8PeBo5JmGmaVFDm4I38DnOABnn0rpUtreJt0cCKfVVAp9e1k+RTyzE1K9Ss6kpJK7Xbzu7n5BjMfHFU4wjBRS7f8ADIKKKK+hPOPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf8A3wK/mQ/4Kv8AxA/aF1L/AIKSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8AMDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni745eG/2JtF0z4az6jB4X1bxQtt49nsI/lNts3W8UzjlInmAz/CzBFJ5AP6OV5B+3l4a0Hxn+yn4o8I+KdLjvtM1STT7TULObOyeGTULZXQ4IOCpI4IPNRnFF18qrQUre69V5a/js/I+i4Iz2jwzxdgs0rUVVjSqKTi+vS6vpzK/NF9JJM/E3/ghr8b/G/hPxf4v+HWt/tIap4K8DDSv7RFvF4mt9Pgk1VpYY1ZTODljCsmQnUIu7otfpj4I1PwF8Ub7VdL8LfGs+OtY1DTls7q5PiSDUruG2/eKiDyfuIGmkYZX7znk9K7z/AIJ3/BL4SfAzxN4+8BfCL4f6doGjrBpFx9hsYztMr/bNzsWJZmIVRkk8KB0AFfUMcEERzFCik9SqgV8RlvDVfMsqpzlipKEteWzaVn/it+B9Z4j8c4LiXjPE5lhsIqalZLbmdopc0rL4n1s32u9yj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfpCVlY/Km7sK/lK+PfxU/abb9sfXvit8V9a1ez+Kmn+M/tN1c3kYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WteZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPn+IMlrZxCkqdTl5Xf7+vqunq9Ufr/hH4l5b4c18dPGYP2/t6aitrpq/uu/8Ay7nf37Xfux91nxpe+P8A4P8AxR+F0Hg344/toTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9J+xj4V8HfC//AIKKXvg79mvw/YaX4f1P4aPc/FLSvDthClha3sVxEujySeWMQXEkUl9hBt3xoHKnO8/T/wC2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr52GVYjA8SYWFTESqNqTu730T01b0fU8DBcQYeHD+NjyyXOnFUlb2V52TnLX4oWTglB+9GLcly2f1ZRRRX6Gfnx8TfHnxjr0X/BRvV/D/AMT/ABHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL4V+zN8S9V8dazpsvhT4myeLdLija2u9TXVUvUcIpyXki+QyAkZPBJIzX0NTY444l2xRqo9FGKdXvZRl1XLMO6dSq6jbbu/Ppu/zPj8ZiY4mopRgo6Wsgrw7/gpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616Fek61CdNO3MmrrdXVrr0NMrxkcuzOhi5U1UVOcZOL2lyyT5Xvo7Wej0PzE+Pvxl8F+AfEfwM0r4PftAx+G4b7XVtkutE1+0jEvhn7HIJ5GmkLBIt0FuFkB+Z1Kgk8V6j4b+Ivwx8XeKdPtP8AhqY+M9RikkbSNM1DxtaXzRymJ1aSKKLDF/KaRc84Vm47j6c+Bv7GX7LH7NPiDXfFXwH+BugeGNQ8SuG1q60y1KtcYdnCjJIjTc7HYm1enHyjHpS2tqjBktowR0IQV8NR4Oxqw3spYtpO94pNx/8ASlfz0Pps34gyepWpxwNBuMF8c1GM5NtvVR5kuW/Kved0r6X5Vxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfH1ajq1ZTfVthRRRW5mFFFFABRRRQB80/8FWPEPjHw9+zHY/2Jqmoaf4dv/HOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv8Aa/8Ahx4d8LftJP4Wtb7wxq8vi86R4hs7WL7D5cUljJJNJnaWnYeWAfnRmIBUEj9KNY0fSfEOkXWga9pkF7Y31s9ve2d1EJIp4nUq8bqwIZWUkEHggkVwX7PX7I/7Nn7KOg6h4a/Z4+D2j+FbLVbtbnUo9PiYtcyquxS7yMzEKM4XOBuYgAsc/K5vw/icyzKGJp13BJW63W/w6re+uq+Z9tlHEOT4LJJYfEYfnqx9oo6R5Je0io802/eUqfxQspJvl+Dlbl88fC743aXqeqy+HvBX7VV34vv7kJLHYN4wtr+dBGT80aQ4YDLDdwQflzX1/wCGpdTn8PWM2tR7Lt7SM3K+j7Rn9atpbW8Tbo4EU+qqBT67coyevltWc6uIlV5klrfS3q2fMYzGU8TGMY01G3b/AIZBRRRXunAeZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK+U/+Cn/irxH4duPhDZarrt3pXw+vviEB47v4WWO33x28kumxXUpI8q3e9SEEkhWYIpPIDfVlY3xD+Hvgj4seB9V+GvxJ8MWetaDrdk9pqul38QeK5hcYZWH6gjBBAIIIBrizLCTx2BqUIy5XJWv/AF06PyPXyLH4fLM1p4ivDnguZNaXtKLjzRvpzRvzRvpzJH5x698ddN0P9uvVfBdh+1Hd+FNFh+G0Mnie2sfEtnYwx6sl8VtUZ5AWMxt3uS0eflURsQNy592+D/xmHiC6bw/8Ov2jrrxreR3C3BiHieDUZos4QAiDkRn0YYyTX0T8C/2cfgZ+zP4DX4ZfAf4Y6X4Z0JbyS6On6dCdrzyY3yMzEs7EKoyxJwqjoAB2ccEERzFCik9SqgV8nQ4Rx0KMYPGSSXRXsvT3l+XyPXzbPsrr4pfVMP7kYqKcklKVt5SSuk2+ik7Ky5na7IDM0CNcKBIUHmBegOOcU+iivuErI+RCiiimBzXxj0FPFHwt13w7No6ahHe6dJDLZuGIlRhhhheSducAd8Vwf7MXgqSy8Q6/8RJxOr6lY2WnqsgARlt5LqTcvGSc3LAnOPlA4INew0V5dbLI1s1pY1zfuJq3R3vrf5/kdUMU4YSVC3xNO4UUUV6hyhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/4Ku/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv/aZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/AMFE/wBmD/gn5pXhzVv2kvEWr2SeKtT+w6RHo/h65v2L74oy8hhRlhjDzQrvcqC0igZJxXuVfn3/AMHH/i3Vpf2DYvgp4P8AhH4/8XeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/AAUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv8AwRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/7Zv/BUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/A/wK/aD174kRWVvf/DKX4e6Ld3HhPWL+a+gzbaxsJtJUh+yo5S9UKqykxk7mr9JPh7F4ng8AaHB41t7WLWU0e2XV4rJQIUuhEvmrGBwED7gMdsUAbFFFFABQSFBZiAAOSaK8T/4KN+EP2lviF+xH8Rfh/8AshRQv8Qte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8ABQX9l/8Ab5i8b3f7MPjW4121+H/iybw7r96+nSQwteRjJMDuAJoyORIvBBBHWva6/Mr/AIN9fhZ+0l8E/i3+0z4D+K37Ev8AwqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8ABUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv+CqHgD4haV+3a/j/wDYU8CftM6X+0Tr3i/whBDreg2t3H4A1bRbYKJzfyxf6JJDHBLdI63J8xZM7BtbJAP1pooooAKKKKAOQ+Pnx6+Ev7MHwd1/4+fHXxpa+HvCfhiwN3rOrXeSkMeQoACgs7MzKiqoLMzAAEkVz/7KX7XHwm/bI+Hk/wASPhJZ+JbO1tL82d5YeLvCl5o19BJ5aSKWt7uNJNjRyI6uAVYMCDXzv/wcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v8AtBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP//Z", 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", "info": {"equation": "26-2=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "8d3a21f0e71f2e8b6331f4c1f255871b1104c05e2459b35c26ce0f14fce67e4f"}
+{"episode": 86225, "episode_seed": 1443561511, "split": "train", "timestamp": "2025-10-28T03:51:05.474744", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1443561511, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 2, 7])</answer>", "action": "('move', [3, 0, 2, 7])", "reward": 0.0, "image": 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", 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eKOn97r6q2nqfceE3HmA4IeZrE4RV/b0HFXto1f3ZX/5dz5vftd+7HRnMeIT+zZ8ddY0zw38SP2g7L4lx2d81xo/hrxN40s9Stjc+W6iYWq4WaRY2kALK20MxAB5HtH/BJom2/Zu1zQPDjSP4I0j4ja1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv8A8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/AII3+PviZpH7Zfh/wF4d8T3kPhzX70z+KNNSceTeG3t7hrZ3VvvMkr5Ur8w3N/Dur9k/2ZviDqn/AAl2t+CPCPxDe91C08cXs1z4dTU0kNiklwQA0K/NFG4y/wA3BLMwPp1XxP8A2Uf2cv2YfAsTfAD4P6N4UPiP4g6fd62dJtyn2qUCbaTknCrvfagwq7mwBk16P+x1Gg+FF5IEG4+LtZy2OT/p01fm2E4dxNHN44R12moc14325/hWq9fXofq3iZx9l/HGdTzjC4X2cGowtK3M3GPxStdX15Vr8MY69D1aiiiv04/GwrM8aT6/a+DtWuvCkPmapHpk7abHtB33AjYxjB4OWxweK06KTV1YqEuSala9uj2Z/NX/AMExfHP7S9//AMFd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/HOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFfgr/wc3+KPjJf/ALbeieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBj08+y6eZ5c6EZ8rund7adH/W9jzvCbjHDcDcZU8zr4Z148s48sUnNcy+KF+ulnt7rkfAX7H3xg0L4kfsR+DtC/aL/AGyr+K41Pwu1nrvh27+IVnZxtZbpIo7eSNNrxo1sI1I3BiGOSCTXvX7CegeD/hv+2/rfw7/Z20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfqf8AaN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivmaWUYjL+IMLGpiJVLqT1voktt3ozOrxRhsZgczrRpumq8m1Sjb2S55Xu9VrT05Eo7pPmSjZ/VFFFFffn5yeP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Ztv9n+Md74Q0jWtHvY/Ferw6zDZmWFYmljV5pwQM3Kw9PmJPoTX9LtfEP/BN/wDZ/wDgr8I/ivp3iL4bfDXTNHv/ABN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJcFUxea4SMKrg5cyTXSyvdarV7H6/wAC8fYDhvgTOcorYNVZ4lR5ZO1ldcvvX19z44Wvad9tzzD4veHf2O/ij4a8T/Ev4o/F/TvGup6P4XYf8JRqniy31C/0C3jcyRSWbIw+yyC4KsjIA7ybFJbIWvu39k/V/if4g/Zg+Heu/GuC5j8YXngrTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xdOdRzceVNvrdN3er1Wx8hnecUsXw5hMMuZu8pe9a1NL3VCnq3aWkp6R1UUo+7dy1+dX/BzD4o+MXh/wDYQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itcx8aPCvwm8bfCfxB4W+O9hpFz4OvNLlXxJHr0qx2YtAu52ldyBGqgbt+Rt2hgQRmvpcywssbgKlCMuVyTV/66d/I5OCs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8TP8Agh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWavqPVvBnwN8MfEj4a/F79nO+03WPiXqfxisfsfinTL2HU9U1oXM6JrS3E4LGWJdOe4eT+GBUQqI88/fn7Ofw+/Z3+H/wAG9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kElraN+sdfu0R+g5tx5g854yzLNoUJUIzUn7NJfvLJR5ayuklPWVTSercUteZfb9FFFfpZ+LBWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/wCCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQUUUV9EeccD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3prz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgVjnuW1c1y94enPld0/J26P+t0j77wr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4//AGQfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v/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=", "info": {"equation": "48+15=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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eKOn97r6q2nqfceE3HmA4IeZrE4RV/b0HFXto1f3ZX/5dz5vftd+7HRnMeIT+zZ8ddY0zw38SP2g7L4lx2d81xo/hrxN40s9Stjc+W6iYWq4WaRY2kALK20MxAB5HtH/BJom2/Zu1zQPDjSP4I0j4ja1ZfDSYxr5T6IkqFRA65863S5a7jikJO6ONeWGGOv8A8FFPg58LvjT8OvB3w/8Air4Istb0W68dJJPp90GCOyaZqDIcoVYYYA8Guv8A2IPD+h+E/wBmbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6VzZRl9bA8SThUrOo1Tvd9btKz1ex8tic5o1OEXhVzXlUVou3JBRTfNHW/PJtp+7FJX1k5e76xXh3/BSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGvs69N1qMqadrpq63V1v8j5fK8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+aX/AII3+PviZpH7Zfh/wF4d8T3kPhzX70z+KNNSceTeG3t7hrZ3VvvMkr5Ur8w3N/Dur9k/2ZviDqn/AAl2t+CPCPxDe91C08cXs1z4dTU0kNiklwQA0K/NFG4y/wA3BLMwPp1XxP8A2Uf2cv2YfAsTfAD4P6N4UPiP4g6fd62dJtyn2qUCbaTknCrvfagwq7mwBk16P+x1Gg+FF5IEG4+LtZy2OT/p01fm2E4dxNHN44R12moc14325/hWq9fXofq3iZx9l/HGdTzjC4X2cGowtK3M3GPxStdX15Vr8MY69D1aiiiv04/GwrM8aT6/a+DtWuvCkPmapHpk7abHtB33AjYxjB4OWxweK06KTV1YqEuSala9uj2Z/NX/AMExfHP7S9//AMFd/AnikS6xd+N9V+IUieN2u7XfctbyyOuqmdXHybYTOW4GzbxgqBX9KlfEfwW+Anwa8MftzRfHHQPhzp1t4u1z4l+J7fVfECIxuLiIR6qNpJJCj93HnaBnaM5r7cr5ThGg6GErRcm7VJLXytr8+p+s+L/HOC47znCYrDYX2Cp0IRa0u3du2n2Y3tDrbWyvZFfgr/wc3+KPjJf/ALbeieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8i/a0+EP7FXxX07w1F+2bofgq7trHWs+Fj4yv4rZftrgfuoTI6eYzhRmLkNtGVOBj08+y6eZ5c6EZ8rund7adH/W9jzvCbjHDcDcZU8zr4Z148s48sUnNcy+KF+ulnt7rkfAX7H3xg0L4kfsR+DtC/aL/AGyr+K41Pwu1nrvh27+IVnZxtZbpIo7eSNNrxo1sI1I3BiGOSCTXvX7CegeD/hv+2/rfw7/Z20uz07wZcfC+LUPGuj+HreIaZa6qLqCPS5js4iuZrP7XkDBkjgids8Mfqf8AaN0vTZf2dvHlrJp8JjbwVqiMnljBX7JKMfTFeIf8E4/gX8H/AIAeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivmaWUYjL+IMLGpiJVLqT1voktt3ozOrxRhsZgczrRpumq8m1Sjb2S55Xu9VrT05Eo7pPmSjZ/VFFFFffn5yeP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2PJf28vEHxc8K/sZfE3xJ8Bxef8JfZeDL6bQW06HzLhJxETuiXu6jcVwCcgYBOBX8/n/BHn4o+MPBH7Ztv9n+Md74Q0jWtHvY/Ferw6zDZmWFYmljV5pwQM3Kw9PmJPoTX9LtfEP/BN/wDZ/wDgr8I/ivp3iL4bfDXTNHv/ABN8Orq71+7to2Ml7N9o01tzlycfNI5wMDLHivkOJcFUxea4SMKrg5cyTXSyvdarV7H6/wAC8fYDhvgTOcorYNVZ4lR5ZO1ldcvvX19z44Wvad9tzzD4veHf2O/ij4a8T/Ev4o/F/TvGup6P4XYf8JRqniy31C/0C3jcyRSWbIw+yyC4KsjIA7ybFJbIWvu39k/V/if4g/Zg+Heu/GuC5j8YXngrTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xdOdRzceVNvrdN3er1Wx8hnecUsXw5hMMuZu8pe9a1NL3VCnq3aWkp6R1UUo+7dy1+dX/BzD4o+MXh/wDYQ0zTvh7NfxeHtV8YW9t43lso/lNp5bvDHMw5WNrhYvYsEU9QD+itcx8aPCvwm8bfCfxB4W+O9hpFz4OvNLlXxJHr0qx2YtAu52ldyBGqgbt+Rt2hgQRmvpcywssbgKlCMuVyTV/66d/I5OCs8pcNcWYLNKtH20aNSMnDq/T+8t4/3kj8TP8Agh18c/E+j/Cjxh4G8eftT6r4O8M6Vqds/hjTV8W2unxedMJmuzGswLEZEJIHygsSOWavqPVvBnwN8MfEj4a/F79nO+03WPiXqfxisfsfinTL2HU9U1oXM6JrS3E4LGWJdOe4eT+GBUQqI88/fn7Ofw+/Z3+H/wAG9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kElraN+sdfu0R+g5tx5g854yzLNoUJUIzUn7NJfvLJR5ayuklPWVTSercUteZfb9FFFfpZ+LBWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1wr8nvHHxt8T+Hf2NNT8a+Jvi7f6N8VpfiWY9VuLm6t4dQtfEP9tKj2nlyZWKOO3VVUYwtqiSA7fnP6w152n7Jn7N0f7QMn7VKfBvRB8Q5bL7LJ4r+zf6U0XlCLrnbu8sCPfjds+XOOK87PsnrZvGkqdTk5JX/wCCvNdPV6n03C+d5VlEaqxtH2ibhONlF3lT5v3cr7U6nN77V37q919PlvQviT8MfFfiux0+P9q9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922eHi8fHE0VTjBRSd9P+GQUUUV9EeccD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmCiiigDwnwV8N2m/aHXVTpUlmuja5qGqssKkRvJcRXMZZiwOQ5uXfgjJ6cAivdqKK83K8uWW0ZwUubmk5XfmdOKxLxM1K1rJL7gr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3prz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgVjnuW1c1y94enPld0/J26P+t0j77wr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4//AGQfBl1+0R+21qX9s6loLR67o+qfECyhEkBkkRIpYj84DW4jDBjuIYknJNfdv7K3haGCfW/iDbO7Q6vZ2NrbMpBieKA3Dq6ED5gftJGckHAx0OfW1sbFFCJZxAAYAEYwBUoAAwBgDsK87L+HK2Dx0MTVxMqnImkmu6t1k/6sfNZ1ntLNsViKtPDxpKrOU+WO0bycuVaLRbLyCiiivqT5087v/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=", "info": {"equation": "48+15=63", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "a5d0ffac5c8fbae46d9263aed21865c16bb80a44d8ce10606cde9bd87edbf6ca"}
+{"episode": 86226, "episode_seed": 2201060427, "split": "train", "timestamp": "2025-10-28T03:51:05.528024", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2201060427, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 0, 0, 1])</answer>", "action": "('move', [1, 0, 0, 1])", "reward": 0.0, "image": 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", 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vVvfz7+YV8lf8Fx/EfxY8L/8ABMn4kah8IJb2O8ltba31abT490kely3Ecd4eOVQws4dh0RmPAyR9a1w/7TVjaan+zf8AEDTdQt1mt7jwTqsU8Tjh0a0lDKfYgkVePputgqtNO14tX7aG3DmZ08m4gwmPnTVSNGpCbi9pKMk7fOx+ZH/BqlrHxMl8B/FzQb6K5/4Q2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/AIJ3/CD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v97b/A+g8S+IsNxZxxjM1oUvZQqSVo6X92MY3dtOaVuaVr6t6vc+Ov8AgvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv+CJXjb4har4B+K/gbWPEt3N4Z0XwdeXGiafLODFZXM4H2l4x1TeIoCf4cpnruz+9nijwx4e8a+GtQ8HeLdHt9R0rVrKWz1Kwu4w8VzBKhSSN1PVWViCPQ18nftA/Ar4Q/s4+EtO+FHwO8A2Hhvw9ZeAvEkttpenIQivJLau7ksSzMWPUknoOgArwuLcrq1E8cqloxik49/eX4a39Uvl9Hw3x3gcH4d4jhWWFTq1qyqKrpokot+fMuTlVtOWctVa0vVP2QvHepeO9JGp2Xjp/EujnS4li1j+0FukmlTCZEqfIzHa27HccjOa9rqvpKJHpdusaBR5CcAY7CrFfVZXgp5fg1RnUc3du731d+7/M/KsVXjiKzmo8q7I5n4033jfS/g54s1P4Z2zzeJLfwzfy+H4Y4RIz3y27mBQrcMTIEGDwelfzr/wDBJD4t/ELw5+3Rdan4k+NWqeFI/EGm6kfG+tyazFZTTthpgJZrgHDNdCMkfeJJ7Zr+k6vjr9h74G/CH4d/tM65468E/DzTtN1nxZpviG68SajDGxlv5hrFuQzliccuxwuBluleBxLgqmLx2EjCo4NuSuuml7rVa6WP0/gTjjA8NcI51llbCqrLFQioydtLNr3r9Fzc0bbTS73XhPxnsfg3daTc/Hz4U/EO38XfFq18RaNF4T8Wxa5b6rrH9p/aFitLCJlOFikR50eBQFeOSd2BwWX9O6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsar4Yws8JUxUJ1HNqdrvq0t+urvr6HyvEea08fl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bt+KH7ROj/APBafxP4v8QeJ9U0jxNo/wATktPDt9KUgex0tZRHZtEX+RIzaOjhjwRIXPLE1/R/XlWv/CX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP/AHqM8cBfc6ANMnmbDgFl3YGK78+yupmtCnCFTk5ZJ3/y810PpPC3jjCcD43HVq+D+sKth500rJ2bs/ev/wAu3a0/Kz1tY+QfHumfsj/Hd3X40/HLSviRbaRpl88Ft4p8aWmoRaZbPGPtN1HGhURsI1GZyN0YBKsuST9bfsE698Q/E/7Gnw41/wCKl1qNxrl14Wt3ubrV4RHd3EeD5Msy8YleHy3bIB3MSQDkV5z/AMFH/gX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/AJFmw6D/AKd468vIcDVwWdYmFSq5tRhdvrfXu9rWR89meb0sRwxQwq5m+dys7ctNRurU9X8blzT0irxj8W66avK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY9Ur8Nv8Ag6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+1nmPhl2XSrShzq6Vntq+v9b2PV8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/wDCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/wDBMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/xvZ+R+p8Mca4PJ/DjOMiqYZTniXTcZ6aWa+Lr7tuaFtpNvTr9e14d/wUr8R/Fjwj+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuNJJGkqNFKgZWBDKwyCPQ19FXputRlTTtdNX7XW5+d5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/FXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b7m+BP7MH7Pv7Mnh6/8KfAP4TaP4W07VNTfUL+10y32rNcsqqXO4k/dVQAOABwBXzt4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfndTh7FZa8J7TEOSdSK5Veybbd1r+i3P2HiXxHy7ini/HZxh6EqMJ0mlFWvUtBRtWs0uV7y+PRKNteZfYtFFFfpJ+Hn80/7Pvxc+P+lf8Fa/+E2+KHxF1Xwx4t1Dx9fWnjfV7i7isp7SFndLqNnlGyFVjUoB0UKoXotfpF8fbH9mP4heAfFXxV8R/Gi38aeKfDvhaR9B8SXPim31LU9BmjfzbR7Hyz+4mN55Owqu+WQRxksCEr3D4efA/wCEek/8FBbr436f8P8AT4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNM/4KI/A34QfEr4uaX4v8e/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/JauU11l1et7eXLGq48utm+ZLm331vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5I/PL9sf4nz+GPH/7S1/8AEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv+KfhLxpbeGYPFP7VkvivX2tIJf7Bv/G9ndj7e1viQpBFgl13SgAZwCeK+v/iT+zD+z/8AGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LuFYvxI0sa58Ptc0R9OW8W80m4gktXBxMrxsrJxzyCRxW1RTqw9rSlC9rpr7whLkkpdjzH9mPwm2iaHrHiKQTK2s6ikm2UYGIoUiBXjODt9+a9Ooorny/BrAYKnh078qtfuaYis8RXlUta4V41+1V4Ffxtdabpw0t2N9p13pi3kCkyItxsDoOoH3FYZH8J7A17LRWeaYBZngpYdy5U7a+jT/QrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc5y/xuv/HOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPz78BI/BvxZ8a2jeFvi7J40nt9dsb3VNWXX4NRnjFtKs0UcjxfKifuyACATubByePsCmxwww58qJVz12rinV1ZNlUsqpTjKq6jk7tv0S7v8AM8DGYtYucWo8qStYK/nF/bj+Lv7Svhn/AILVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/9p3WPhNo9x4+0vTTYWHiiS3zcw25EilAc4ztlkXcRuCsRnHFZ57lNbNqNOFOpyOMk7/11XQ/QvDHjzAcB4zG1sVhVXVehOklpo3ZpO/2JWtNLW1tHax8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvufAYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAKKKKAIr1ZHs5UhjV3MTBEY8MccA+1eQfsteAE8Oanq+uR2E1oi6faaVDaspCRpbtMwUZGcjzdp57DvXslFefiMAsRj6OJcrez5tO/MrfgdFPEOnh50rfFbX0dwooor0DnCvF9L+H5uv2nTrZ0yS2Fhqc2qM0KnZMz2b2oZic5ysnbHKexFe0UV5+OwCx06MnK3s5qfra+h0UMQ6Cmkr8ya+8KKKK9A5z8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8AD37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", "info": {"equation": "81+65=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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a1w/7TVjaan+zf8QNN1C3Wa3uPBOqxTxOOHRrSUMp9iCRV4+m62Cq007Xi1ftoa8OZnTybiDCY+dNVI0akJuL2koyTt87H5kf8GqWsfEyXwH8XNBvorn/AIQ2DV9Nn0yRoAIf7TeKVbkK+MlvJS0LLngbDxu5/W+vnT/gnf8ACD4Y/A3w74y+Hvwh8E2Xh/RYdft549OsFbYJJLOEu5LEsxJxySeAB0AFfRdebw1BwyOgr30v97b/AAPoPEviLDcWccYzNaFL2UKklaOl/djGN3bTmlbmla+rer3Pjr/gvN4k+LHhj/gmT48u/hLLexSXD2dr4gm0+PMiaVLOqXOSOVRlIRyP4HbPBJr8yv8AgiV42+IWq+Afiv4G1jxLdzeGdF8HXlxomnyzgxWVzOB9peMdU3iKAn+HKZ67s/vZ4o8MeHvGvhrUPB3i3R7fUdK1ayls9SsLuMPFcwSoUkjdT1VlYgj0NfJ37QPwK+EP7OPhLTvhR8DvANh4b8PWXgLxJLbaXpyEIryS2ru5LEszFj1JJ6DoAK8Li3K6tRPHKpaMYpOPf3l+Gt/VL5fR8N8d4HB+HeI4VlhU6tasqiq6aJKLfnzLk5VbTlnLVWtL1T9kLx3qXjvSRqdl46fxLo50uJYtY/tBbpJpUwmRKnyMx2tux3HIzmva6r6SiR6XbrGgUeQnAGOwqxX1WV4KeX4NUZ1HN3bu99Xfu/zPyrFV44is5qPKuyOZ+NN9430v4OeLNT+Gds83iS38M38vh+GOESM98tu5gUK3DEyBBg8HpX86/wDwSQ+LfxC8Oft0XWp+JPjVqnhSPxBpupHxvrcmsxWU07YaYCWa4BwzXQjJH3iSe2a/pOr46/Ye+Bvwh+Hf7TOueOvBPw807TdZ8Wab4huvEmowxsZb+YaxbkM5YnHLscLgZbpXgcS4Kpi8dhIwqODbkrrppe61Wulj9P4E44wPDXCOdZZWwqqyxUIqMnbSza96/Rc3NG200u914T8Z7H4N3Wk3Px8+FPxDt/F3xatfEWjReE/FsWuW+q6x/af2hYrSwiZThYpEedHgUBXjkndgcFl/Tuvjn48/A74Q69+3dp3xr1n4fadc+K9C1jwra6PrkqMZrSF7wblQZ2jPmPzjPzHBr7Gq+GMLPCVMVCdRzana76tLfrq76+h8rxHmtPH5dgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyv5wP27fih+0To//BafxP4v8QeJ9U0jxNo/xOS08O30pSB7HS1lEdm0Rf5EjNo6OGPBEhc8sTX9H9eVa/8ACX9j3UP2r9H+J/iTQfBz/GO20B49FnubyIaudP8A3qM8cBfc6ANMnmbDgFl3YGK78+yupmtCnCFTk5ZJ3/y810PpPC3jjCcD43HVq+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+UzfJa2T16lKpOMuSbheLunZtXXk7aHRUUUV9CeKePf8FBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf+DWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI/wDwTA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8AG9n5H6nwxxrg8n8OM4yKphlOeJdNxnppZr4uvu25oW2k29Ov17Xh3/BSvxH8WPCP7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe40kkaSo0UqBlYEMrDII9DX0Vem61GVNO101ftdbn53leMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eD/AIIX/FXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b7m+BP7MH7Pv7Mnh6/8KfAP4TaP4W07VNTfUL+10y32rNcsqqXO4k/dVQAOABwBXzt4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfndTh7FZa8J7TEOSdSK5Veybbd1r+i3P2HiXxHy7ini/HZxh6EqMJ0mlFWvUtBRtWs0uV7y+PRKNteZfYtFFFfpJ+Hn80/wCz78XPj/pX/BWv/hNvih8RdV8MeLdQ8fX1p431e4u4rKe0hZ3S6jZ5RshVY1KAdFCqF6LX6RfH2x/Zj+IXgHxV8VfEfxot/Gninw74WkfQfElz4pt9S1PQZo3820ex8s/uJjeeTsKrvlkEcZLAhK9w+HnwP+Eek/8ABQW6+N+n/D/T4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNM/wCCiPwN+EHxK+Lml+L/AB78PdO1XU/Cng57zw7d3cbE2E5uifMQAhScohG4HBUEYr8lq5TXWXV63t5csarjy62b5kubffW+3Tc/oDibxIy3iTirL8bRwzwypUIRfs7czcU5OC1S5L+4rvSOri/gPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6zFcsUj8DrVFVqymkldt2Wyv0Xkj88v2x/ifP4Y8f/ALS1/wDEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv8Ain4S8aW3hmDxT+1ZL4r19rSCX+wb/wAb2d2Pt7W+JCkEWCXXdKABnAJ4r6/+JP7MP7P/AMYPiP4W+L3xO+E+ka14l8FTmbwtrF7AWm0+Qsr7kIODhlVl3A7WGRg813C2tqjb0towR0IQV8XiOFMXiMVXqfWnGNRt2Sbun0eq22W+h9jjuI8qq4HDwoYf95GMedtRSTjCMFyNXbUuVzk2k+aVrO3NLm/gt4SPgf4W6N4ZYy7oLYuwnxvDSO0hBwBjBcjHtXUUUV9hQpKhRjTX2Ul9ysfGTk5zcu4Vi/EjSxrnw+1zRH05bxbzSbiCS1cHEyvGysnHPIJHFbVFOrD2tKUL2umvvCEuSSl2PMf2Y/CbaJoeseIpBMrazqKSbZRgYihSIFeM4O335r06iiufL8GsBgqeHTvyq1+5piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP9CsLiHha6qJXtf8AIZbQi3t47dSSEQKCfYYp9FFegc5y/wAbr/xzpXwX8X6p8MLZ5vEtt4X1CXw7DFCJGkvltpDAoVuGJkCDB4PSvzes/jf4W8N3PwBsfCn7TN9oEWr+Gr9/EGpr4gtba5urP7CjSS3Us2THKdRjhVhwTL5ykfIwX9Sa4H4Wfst/s8/BLxl4p+IXwo+EejaFrXja++2eKdRsbbEmoz75H3vkkD55ZGwuAS5OM187neS4jNa9GdOs6fJfa99eq1WvTfY+ryLO8sy7LcRRxNHnnK7hpGzbjKFpt6pR5ueFk/eVmlfmj8+/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1dWTZVLKqU4yquo5O7b9Eu7/M8DGYtYucWo8qStYK/nF/bj+Lv7Svhn/gtV4p8aan4y1jQvFGk/EkWHh/UPNW2ks9IMghtfLLfIkTWcincflZZWZvvNX9HVcHq37MH7P2u/HfT/2ndY+E2j3Hj7S9NNhYeKJLfNzDbkSKUBzjO2WRdxG4KxGccVnnuU1s2o04U6nI4yTv/XVdD9C8MePMBwHjMbWxWFVdV6E6SWmjdmk7/Yla00tbW0drHyx4W8Y/D34g+KRo+jftKS+OtUe1mh0+wuPGFtqMsKPgSNFFCA2SAuTg8AV9oeC9BTwr4O0nwvG7sum6ZBaq0hBYiONUyccZ47VoJbW8bbo7dFPqqAU+pyfJamV1alSpWdSU7avyv5u+58BjMbHFQjGMFFRvt5/JBXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgV3dFe3OEKkXGaTXZ6nPhcVisFXVfD1HCa2lFuLXTRqzWmhH9ktQ24W0ec9dgqSiirMAooooAivVkezlSGNXcxMERjwxxwD7V5B+y14ATw5qer65HYTWiLp9ppUNqykJGlu0zBRkZyPN2nnsO9eyUV5+IwCxGPo4lyt7Pm078yt+B0U8Q6eHnSt8VtfR3CiiivQOcK8X0v4fm6/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", "info": {"equation": "81+65=146", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "be429af026f6d2bb629b5db339b0ed8b36dbfa228c54fa6973c8e173dfe24f22"}
+{"episode": 86227, "episode_seed": 1395698857, "split": "train", "timestamp": "2025-10-28T03:51:05.574845", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1395698857, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 5, 7, 0])</answer>", "action": "('move', [1, 5, 7, 0])", "reward": 0.0, "image": 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9vgvrH1ii4rRPltfSV/8Al1K/v/4Y6M+WPEJ/Zs+OusaZ4b+JH7Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/gk0Tbfs3a5oHhxpH8EaR8RtasvhpMY18p9ESVCogdc+dbpctdxxSEndHGvLDDHX/4KKfBz4XfGn4deDvh/wDFXwRZa3ot146SSfT7oMEdk0zUGQ5QqwwwB4Ndf+xB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K8jKMvrYHiScKlZ1Gqd7vrdpWer2PmsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzS/8Eb/AB98TNI/bL8P+AvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/4S7W/BHhH4hve6haeOL2a58OpqaSGxSS4IAaFfmijcZf5uCWZgfTqvif+yj+zl+zD4Fib4AfB/RvCh8R/EHT7vWzpNuU+1SgTbSck4Vd77UGFXc2AMmvR/2Oo0HwovJAg3HxdrOWxyf9Omr82wnDuJo5vHCOu01DmvG+3P8ACtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+Nn5pf8ABz14o+MuifsdeFdD8Dy38XhPV/FvleNpLOP924SPzLSKZhysZlVmA+6XjTPIUH5e/wCCHvxp1XRPgV4r8IeOP2o9Q8F6Hp2vxN4d02LxXaacjvLG73TBZRvfnycnoCeOc1+tn7engnwp8SP2ZNW8BeOtBh1TRtW1vRLfUtPuc+XcRNq1plW2kHH0INYn/BPj4Z/D/wCFnwo8QfD/AOHfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxvE3LTryg3TvddLO1lqtHv6n7LhPEHL6HhA+GpYJSqe35ufS1r83Ntf2n/AC72t7Pr0PlPSfC/wb8C/Gr4S/EX9mHUrK98d+IvixBb3niDRL6LUL/xFp9xKW137bMGY3EKW4eZ2bIhkih27CQD+lNfEXwT+AXwX8K/tyw/G/w78N9NtPF2t/EvxPb6pr8aMZ54hHqo2ckhR+6jztAzsGc19u13cI0JUMJWTk3apJa+Vtfn1PiuLc0p5j9VhGUpuFPWU/ibk2+Vay9yH2bu7blK0b8qK/BX/g5v8UfGS/8A229E8JeMJb9fB1h4Rgm8HQSR7bV5JWP2yRCOHkMiIrE8gJGOBjP71V598ff2U/2dP2pbTR7H9oT4Q6P4si0C+N3o6atAW+zSkAMVwRlWCruU5Vtq5BwK9TPctq5tl7w9OfK7p+Tt0f8AW6R6/hXxtgeAOL6ebYuh7aCjONlbmjzL4o30v0eq91yPzm/Y++MGhfEj9iLwdoP7Rn7ZV9Hcan4Xaz13w7d/EGzs42st0kUdvJGu140a2EakbgxDHJBJr3b9hHwn4D+Gn7dev+Df2c/D+naZ4VvfhVb3fjrT/DtnCthBqSXcSaS7GP8A1c8to98doxvjjSQgkhm+q/2jdL02X9nbx5ayafCY28FaojJ5YwV+ySjH0xXiH/BOP4F/B/4AeJ/G3hL4L/D7T/DmnXWjaHd3Nrp6tiWdpNSUyMzlmY7VUcngDivl6WUYjL+IMLGpiJVLqT1vpZbat6MKvFGGxmBzOtGm6arydqUbeyXPK93qtaenIlHdJ8y5bP6oooor9APzg8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/AIKheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/gjz8UfGHgj9s23+z/ABjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/wCCb/7P/wAFfhH8V9O8RfDb4a6Zo9/4m+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnlnxq8I/sX/ABi8H+LfHfxh+Kmk+PbvTvCckU/iHWvFFtqd5olorM8Ztdpxbt55UqVUNJIVQlgQtfeP7J+r/E7X/wBl/wCHeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/BSP9n/AOCnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xlOdRzceRNvrdN3er1W258jnecUsXw5hMMuZtSlL3rWppe6oU9W7S0c9I6qKUfdu5aKKK+zPiyvq730ek3UmmJuuVt3NuuM5fado598V/NL+w94//at1D/grp4K8ZXr6zcfEu/8AiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH9MVfEPgL4DfBvR/28k+PmmfDrTovGepfFLVrS+8RBWNxLALK9XZyxVRtjQEqASF5PJz8lxPh5VcRg5KTX7xLTztr6q2nqfr3hfx5geDstzjDYjCKs8TQcYt20aUlyyv8AYlzXklreK06r7eooor60/IT4c+NfjyOw/bY+LVl8bfGcmmabpXgzSH8KQanPHb2segtbu19dwFiBITe+YkznO3ybdTgFd3mf7In7Sdrc/ADwP4m+Iv7c+pQ6yNLimudP1Lx1p9v8iu3krLb7RszCI9yHBGSDg5r7s+On7J37N/7TN/oGp/Hv4O6L4quPC9411oMuq25c2kjFC2MEblYxoSjZVtgyDiu/NnaE5NrGT/uCvjK3DGNq4+tXhinBTd9L39Hqttlvp2Pt8ZxHk9XKaNGnhv3tqam2oqMfZw5FyNXb9p8dS6j7yXxbnD/s/ax4j1rwlNea5dS3EJuc2NzM5YyIQCcE/eXPQ+5Hau8oAAGAKK+nwGFlgsHChKbm4q13uz46vVVatKaVr9Ar+X7xX8aP2q9B/wCCmWp/FHxV421vQfiavxElttS1J5ltbizLTG2eLL/JHEsB8sA/uxGAPu1/UDXnifsnfs3x/tASftUp8HNFHxDlsvskniv7OftTReWIsZzt3eWBHvxu2fLnHFeZn2T183jSVOpyckr9fvVuq6er1P1Hwu8RMu4BWYrFYNV/rNFwjto9fdlf/l3O/v2u/djoz5a0L4k/DHxX4rsdPj/avfxldx3LvpGkah44tL398Y3TzI4o8M0gjeRe+FduO4+ufgR4ObwH8K9M8Ov5wbfc3TrOAHVri4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlRlORVMtxcsRVrupKS5dV0vfdtn5zi8fHE0VTjBRSd9P+GQUUUV9EeccD+0doq6z8PUZ9LW5FnqUN0GIJMBTdiQY9M454wTU37O/g9vBnwyhsnEwe91C8v5EnGGUzzvLjGBgfNxnnFdx160V5scuSzZ47m1cOS3zve50vEt4RULdb3+Vgooor0jmPlz/go34n8RaH40+DGmajrV1p/gm/8bXI8R3EZVLeW/js3k0uC5kJGyNrgFlGQHmjhXklVb5v8A/H7Ql/aI+Lfh1/2wb3w5oGm6tpaafY2vi+xsYF1A2QF+ke8FpNpS3DEk7ZC6cFWA/RP4qfCr4dfG/4fap8Kviz4Qste8O61AIdT0nUI90VwgYMM4wQQyqwIIIKggggGofhT8G/hb8Dvh9pvwq+EvgbT9B8PaPE0em6VYQ4igVnZ2xnJJLMzEkkksSSSa+TzLh3F47NHiqeIdNOKWl7ryWq0e++/Q+zw/EGUUeHVhZ4fmrpcl7R5eX2ntPaX+L2n/Lu1rcn2vsngf7LGg+FfG/jDQfFvgzxd/b1hot/e38mtWupR3i3V1LDcRStLMmVZ2a5kYgYO4dAARX1FSJHHEu2NAo9FGKWvWyfK/7Jwroubm3Jybatq7eb7dz5fGYr63VU+W1lawUUUV6xyGP8QtKXXfAWtaHJpyXiXulXEElpJnbMrxsrIcc8gkcetedfsveDH0q/1/xnLFPGdQt7KxVJFwu22a5bI4znNwwPOPlA4INeu0V5tfLlWzOljHL+GpK3fm0/r5HTDEuGFnRt8TWvoFFFFekcx53f/smfs3an+0Bb/tUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5R+3Tr3xS8L/ALHfxJ8Q/BV79PFFn4RvJdIl0qDzbqJxGd0kKYO6VU3MoAJ3AYBOBXw74++M3gTwX8Tvgf4e+Fv7SL+HNJvtF1Jb290vxFaQ+foK2CGGWWeXdtzdw2qqQcuwlHO1sfpzXnXwU/ZI/Zq/Zy1jxD4g+B3wZ0PwzeeK7wXXiCfTLbabyQM7LnJIVQ0jkIuFG44Ar5rOsjxOaYulVpVnDkTXW6v1Vmtej1Wh9hkme5Vl+U1aGJoc9T33DSNpOcFD329UqdueFlL3rr3b8y+YvB8vgL40XWq+FfDvx0k8c6rq2mfYLm4Pie31G6tbV96gKIhhEDSM2SuMnk9q+4IIhDAkIOQiBefYUkdvBEd0UKKfVVAp9dOTZNPKpVZTqupKdrtrtfzd9z53G41YtRShyqN9vP7gooor3DhCvCdE+GovP2jUvxpUtmumeIbnWG8hSEkeSCeLexbPD+cW4x8w46EV7tRXm5hlyx9SjJyt7Oal626HTh8S8PGaSvzK3oFFFFekcwUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8K/2Yvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv8AwW9+CvxP+PP/AATZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/wAKD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/BG3wt4/wBQg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/wCDhHxZqVr/AME/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/AIKX/sm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/ZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/27vjXf8Axq/4KufCH9lH4p/BX4pW/wAK/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv8Ab7+EM/x0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/4f/tC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/wDii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv8AwXI8EfDTxP8ABnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/AGKPhSn7WDXB+JQ8BaX/AMJubwqZ/wC0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef8Agoj8Av2yPBf/AAWN1T41fs/6V8YV1z4gD4dp8ONX8Di5/wCEZ8qw1F4tdttfaP8AcrElk8sqJP8AKftDFMv0/YagAooooAK+a/gX/wAFVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/wAFTf2if2v/AIg+DNX0zS/DOm6P8LvhnLrGnS2/2qxto/7R1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD//2Q==", 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", 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", "info": {"equation": "23+64=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "23+64=87", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "6a149cc2dc82676a6ab782a67aeda8889a90d95ac8c4dab32370a6a8dece1d9e"}
+{"episode": 86228, "episode_seed": 976516377, "split": "train", "timestamp": "2025-10-28T03:51:05.626507", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 976516377, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 2, 8])</answer>", "action": "('move', [3, 0, 2, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11*10=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "11*10=110", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "b658da874cd0229274e4305c330ace5a91c44b8fb4f698b4a507280ba2d1cd04"}
+{"episode": 86229, "episode_seed": 2167130533, "split": "train", "timestamp": "2025-10-28T03:51:05.675831", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2167130533, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 5, 4])</answer>", "action": "('move', [0, 0, 5, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "128/16=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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4kuCpAAxgykAdQBzzXVra2qMGS2jBHQhBUlduU5FUy3FyxFWu6kpLl1XS9922fmOLx8cTRVOMFFJ30/4ZBXh3/BSrxN8Y/B37BvxT8T/AF75PFll4Tnk0uXTIt9zCuVE0kQ671hMrAj5gVBHIFe41DqBYWE5XqIWx+Rr3a9N1qMqadrpq63V1v8icrxkcuzOhi5U1UVOcZOMvhlyyT5X5O1n5M/m1/wCCL3xP8T+A/wBrKfTofjNeeC9A1fw/c/8ACS6jb6zBYiURKWgVppgRnzmXAHJye2a/RX4/+FP2PPif8OfG3xN+IfxP03xvrWneFiqeKtQ8R22qano4j3vZraFT+4f7SQY0RQZZW2nfu217D/wTQ/Z/+CvwX8e2d18K/hppmhy+IfhtHea3JZxsWvJ/NtDvcuSeC7kAYA3HA5qP/gol+z/8FPiX8btQ+IHj74aaZq2s+FvhtaT+Hr+7jYtYyfadTfcoBCk7kRhuBwVBFfkn9l1/9Xlivby5ea3Jrb4rX3+ex+5cXeImXcS+I/8AalGjPDwUIq8OX2kuVc3vWaWrtG95Wiovlk1yn1f+z7qXxD1j4CeCNX+LlrJB4suvCGmzeJ4ZoBE8eotaxtcqyLwhEpcFRwOldfRRX69CPJBRvex+CYiqq+InVUVHmbdlsru9l5LZBXg/7Z/xYm8KaAdK0ezN7eW/li009WUG91Cd1hs7YFmUZeWRFwSPvg54r2jxV4l07wjoU+v6ox8qBR8q/edicBR7kmvnL4VaBqHxu/alXxHrtuz6T4Fi/ta5Zwuy41m6R47ZNpjO4QW5nkJVlw08BwSOPm8/qvFVKWWU371V3l5QWrfztp6M7cvgqUZYqS0jt5yPaf2e/hHa/BD4R6R8PkuEub2GJrjWtQWARm+1CZjLc3DAE4Lyu7YycAgZwBXaUUV9HTpwpU1CCskrL5Hmyk5ycnuwoooqxHyb/wAFvvE/xi8Jf8E0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf/BOP4F/CD4AeJ/G3hH4MfD7T/Dum3OjaHd3NrYK2JZ2k1JTIzOzMxwqjk8AcV8nmGHk+KsJPmesZaf4U3+N9T9e4f47wOV+FOZ8OzwilUr1IyVTSyT5fi63hy3hbrJ7W1+qKKKK+sPyE/mC/ad+K37Tmn/8FPfE/wASPF/iPVdM+I2m/EqRbO9uQkM1iY7jy7UIH+RI1hEYQn5NmDkg5P67+Ibj9nT456jpfhL4lftGWvxHhg1NbnSvC/iPxtZ6jazXiqyxv9lXAndQzbVYMBknbkAjqvi38Avgxqv7d1/8e9T+HGm3HjKx+I/hi0s/EEyM08MJh0pdignaOJHGducMRmvWv+CiPwl+Gvxh+FHhv4e/E7wbZ6zot942tzd6dchgkuy0u3XJQqwwyqeCOlflTyivPD46osRJKnKV10lbW716+jP3vjTxIy7irE5NGhhXhvYUowlOFuZXsmqaTj7kUvcTlH4pJ23eB/wSmuZk+DXjLw54bu57jwFonxJ1Gw+GUzANANJSK3MkVrICfOtor1r2GNsnCxBQSFFfUNeRfsL+FfDngb9mvSvBng/RbfTdJ0rWNZtdO0+0TbHbwpql0qIo9AB9fWvXa/Q8mg4ZTQTd/cjv5q5+PcRY6GZZ5iMTCNlKT33dtOaVt5StzSfWTbCvHv2ZPgx+xB8NfEnjW+/ZQ8OeB7bVNQ1jHjr/AIRW9hnkjvFeU+VcKjt5DKzS4iwoB3YUYqf9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/BHb4vePfAv7YEen2fxv1PwfoGv6ZdnxjqMGuxWS3CRwySQGSWfKlvtBTB+987AcM1eXnee0MpxlGNSlzXTd9Lrp7vn31Wh+icEeH2N4n4GzjNaWO9jHDqN6d3apy+/wC/Z7f8+9Hefa1z+laO3giO6KFFPqqgU+vkP4IfGMeINbGgfDr9o+58b3i3Mc7W7+KbfUZIl+5yIMFYznnIx3r68Gcc125RnVHOFN04Sio2363/AK/I/LsZgp4NxUmnfsFfnV/wcw+J/jFoH7B+mad8PZb+Lw9qvjC3tvG8tlHlTaeW7wpMw5WNrhYvYsEUnkA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDW+c0nWyqvBO3uv8Ff8dj3OCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8fv8Aghn8Zta8PfC3xt4N8ZftOX/grw7Z6xaz6DYQ+KbTTkluZY5PtTgSgs52x22T90duSa+p9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9a/wDBPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/ABq32PTrOLCR79N092OWJJJZmJJJOTXkXgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5Ofz2GVV6eGwNeVeTU5wSjraN9dNXt6I/Q8546wOb8aZnmtOjKjCak1CNrVLRUVGrqlyz1lUtz3baS15l9v0UUV+qH4mFYXxQ0dfEPw413QJNMS9S+0me3ltHBxMjxlWXjk5UkcVu0VnWp+1pShe101f1KhLkmpdjyb9mDwbJpUuveNphOrat9ltgsi4Urb+cdy8Z6zMCeny9sGvWaKK5ctwSy7AwwylflW+19bmuJrvE15VGrXCvye8cfG3xP4d/Y01Pxr4m+Lt/o3xWl+JZj1W4ubq3h1C18Q/20qPaeXJlYo47dVVRjC2qJIDt+c/rDXnafsmfs3R/tAyftUp8G9EHxDlsvssniv7N/pTReUIuudu7ywI9+N2z5c44rzs+yetm8aSp1OTklf/AIK8109XqfTcL53lWURqrG0faJuE42UXeVPm/dyvtTqc3vtXfur3X0+avAvxy8KSeJxpfhr9si78S3d6rQW2k3Hju0uzLzuykcQDlwF6jtmvsTwNca1deD9OufEKML17RDcbxhicdSOxIwSPXNaK2tqjBktowR0IQVJRlOTYjLa8qtXESq3VrO+mvm3/AFc8HF4yniaajGmo27f8Mgrxj/gof4h+JfhX9ij4jeIPhHdanb65beH2aO70SDzby2tjIgupoFwcypbGZ1IBIZQQCQBXs9BAYFWAII5Br2q9N1qMqadrpq63V1v8ictxccBmNHFSgpqnOMnF7S5WnyvfR2s9GfmZ8RPjT4I8IfH/AOEnhj4c/tI/8Ixot34T1VtTn0bxJaW8UmkLBB9ikeeTdgNOsYjwf3g8zG4KxHq3ghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgfTPwK/ZL/Zs/Zk/tv8A4UH8GtE8Lf8ACR3ou9a/su22/apV3bSck4Vd77UGFXc2AMmvQY4IIjmKFFJ67VAr4ihwdilQjTq4p8qd+VJ8u9+r/Tc+kzfP8rq14rAUXywjy801FTk25Sbko3V1zcq95+7FbbJ9FFFfeHxxleNfCdn428OT+Hr2ZohLhkmUZMbg5Bwev09DTfA/hCy8D+HIfD9lM0ojJaSZlwZHJyTgdPQD0A69a16K5vqmG+tfWeX37ct/K97GntqnsvZX9297eYUUUV0mYUUUUAY/xC0pdd8Ba1ocmnJeJe6VcQSWkmdsyvGyshxzyCRx6151+y94MfSr/X/GcsU8Z1C3srFUkXC7bZrlsjjOc3DA84+UDgg167RXm18uVbM6WMcv4akrd+bT+vkdMMS4YWdG3xNa+gUUUV6RzH5UfFn41eJvDH7JvxG8beLfitfaN8VE+JN6kstxcQRX1nriauq6fbRxy5VIxbQ2uzjb9nUyAlQXr2vR/iX8L/FPibT9Pl/a1fxddJdltL0fUPHVneBrgoyB0ijwzOFZwMZ4Y8V9UX/7Jf7NuqftA2/7VOofBvRJviHaWf2W38VvbE3KR+W0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFfCrhDGSdVPFtKbbsk3dP8Am1V33Pus64myjGezlhMNaV5Tk2orllLl/dwtf93Dl9xuz95+6rXfI/AHwg3gn4WWOjOJg8t1eXsizjDK1zdS3BXGBgAy4APOAM812VFFfZ4agsNhoUU7qKS+5WPiKs3VqSm+rb+8K86+Cn7JP7Nf7OWseIdf+B3wZ0Tw1eeK7wXXiCfTbbabyQM7DOSQqhpHIRcKNxwBXotFaSp05SUpJNrZ9vTsa0sZi6FCpRp1JRhUtzRTaUrO65ktHZ6q97PVDI7eCI7ooUU+qqBT6KKs5wr5i/4KUeJdf0AfCa1vdbutN8GXvxIiTxhdxEJAWS0nl0+K5kJHlwvfJbjkgM4jUn5gD9O1h/Er4a+A/jF4D1X4YfE/wraa34f1uza11XSr+PdFcRN1UjqDkAgjBBAIIIBrizLCzx2BqUIy5XJWv/XTv5Hq5JjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+1J8U/CbftdXvhjQNNTRfLsLTxZZWECau1vKl6ilwWkZYobIOCTscsvBBA+hv2YdD8I/EDxfofiPwZ43/AOEitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2r374P/A74R/AD4e2Hwo+DXgDTvD3h3TPM+w6VYQ4jiLu0jn5slizszEkkkmupjjjiXbFGqj0UYr5jB8KYihUozq4lyVNqXLZ2uuiu9PW2x6mcZ5gcVian1OhywcVFN2UmoxUeaSV0pStzSSk7N7vduooor7Q+WCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKK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", "info": {"equation": "128/16=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "0d9f0fd39592e1a2864662bed0716a2e7f90a4e5fa8d864c9fa86eec737a3e68"}
+{"episode": 86230, "episode_seed": 2672941533, "split": "train", "timestamp": "2025-10-28T03:51:05.727165", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2672941533, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 1, 3, 5])</answer>", "action": "('move', [7, 1, 3, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+9*5=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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CVrrmh33jS3N3pt4WEcpS1u3UkoQeGUHg9q8biKm6uSV0nb3b/drb52sfaeG/EWG4T43wWa16XtYU5O8dL+9Fxur6c0b80b21S1W55x/wQe1f4l6x/wAEwfh3J8TIbhXt0vLfQ2uYBGz6YlzItsQBjK7BhWPVQp5GCfsGvM/2OdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/AIOqfEfxYtfB/wAJ/C2ny3qeCLy/1GfVRFH/AKPLqcaRC2EjD+IRPcFVPUFyM44p/wDBPL4o+G/Hf7AHhbwN+0P+1ld2lrNpdzpVz4TvPHdpYwNpKSvDDbPECsixNAoUgsGZD15r9Nv2rPh3+y58Tfg9deHf2wrDwxP4KS8gnuW8W36WtpFcK+In853QRvubaCGBO4ryGIK/Hnwr4Og/ZS8ZeGNH0OxTRk+H2oWlrZ20SiAWosZEWNAvATZgADjHSvm8z4fxOKzCtiYYlwTitFe+itZ6rTT89D9Cn4g4Sfhvl3DywfLUoVpT9tprq37r35/fXNqrKMNdfd8J/wCCdGkaD4J+PXxW+HXwf063sfAdnp2h3cml6Tbxpp1jr0ouhdJDs+VJGtY9PeSMYALIxAL5P17Xzp/wTv8AhB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1eGouGR0E3fS/wB7enyPg+K8dSzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/4JIfFv4h+Hf257rVPEfxq1TwpH4g07Uj431yTWYrKadsNMBLNcA4droRkj7xOe2a/pOryn4EfCH9jnwN8SvH/AIh/Z58PeDYPFWr6wsnxGfw/dxTXQvS8rhbpFdjA5dpm2ELkljjOa8zPMmrZpiKMqdb2fLf116rVa6a67H6ZwPx1g+GOE85yyrg/bPFwjFSsrQs2vfbvoubmhb7aXe6+Fvjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/AOES8Vf2zbavq41ZLpEsbKJgSFjcGYNAoCsjTSMCVLr+n9fHPx5+B3wh179u7TvjXrPw+0658V6FrHhW10fXJUYzWkL3g3KgztGfMfnGfmODX2NXNwxhZ4SrioSm5tTtd9bLfrq76+h8xxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/wBlHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw0/4OkfEfxYn/AGqPAfhPW5L1fBUHgo3Xh+Jo8Wz373Mq3jKf45Ai2gOeVBXpu5/cuvK/2o/hR+x/8UbLwvF+1zong+7gsfEcT+E/+EtvYoFOpMDsjhMjr5ruB/qvmD7RlTgY789y+eZ5dKhGfK207vbR9f63sfY+FfF2H4I4zo5pWwzrxjGceWKTkuaLV436rZ/3XI+EPgB4+8BfHf8AZc8BeGf2mv2o28SXmraHpsuu+DNd8b2Ztru6Uo8UE1om0uA6xnyTwWUBlPIr6j/4JiRxaT4d+JfgvwYu3wHoXxEltvBUEEai0tQ1nbS31valeDCl9JdDA4RzIgxt2j0P9uLwJ4O+IH7M2veCvGnhy21HStVvtKttRsZ1ISeJ9TtQyEqQcEehBqj+wN4D8G/DD4Ey/D74e+HLbSNE0nxLqEGnabZqRHBH5ucDJJOSSSSSSSSSSa+fy3LK+X8RxhUryqP2bd325rW3enX1ObH8QYfG5DilGDh7ardU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8ACn7RNlotx4Ju7EjxFH4huFishArB90sjsoQKyqwbI2lQQQQK66vzj/4ObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B+pzPFRweX1K0o8yinp39fLv5Hm8D5HV4k4uwWW0q3sZVakUp7ONtbx297T3dV71tUfefwc8HfB/wf8ACrw/4Z+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/AARq+POsQ/sit4e+J/7X+q+F7XRvElxaeF9HbxraWKxWOyOQ7Y5QXK+fJNgnjqBwK/Vr9mnxZrHjPw5d69ca6dU065aOXTtRE4lScOpJaNx8rIRtIK8c8V4eVcT4XMcRTw0KUotry5VZX08ui0XQ6+NeFsTw1xBjcJVrqq6VSS57u8td3f7WvvK7s76vc9Lrw/8A4KV+I/ix4S/YJ+K3iT4Hvep4ns/B10+nS6bHuuIlwBNJGOodYTIwI5BXI5Ar3CqPiYsPDeoFeosZcf8AfBr6WvTdWhKCdrpq/a63PmcrxkcuzOhi5QU1TnGTi9pcsk+V+TtZ+R/Pb/wQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/AA0+K/7P/ia11z4geIfizbW2o+J9O1OHUtR1uylUDVoruZWJkt4rFBIV4WAwwFQhI3ez/wDBMX4F/B74JDX9F+E3w703QrXU/C3h+/1CKyjY/aLl/toaRi5JJwAMZwOwFUfCHwQ+EWlf8FFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr8uwWWV1hMFiHXlyyqRSj0j7z1Wvl26n7Pxb4gZfxBxrmGaUaMqUJUrcqtepaEY2q2aXK/tfFolG2vMvsWiiiv1Y/CT83/AIA/E3x3cv8ABZk8W39z8R9W+L06eNNNmjia7M++9Gtw3EJ5hit4pHxgDy1W2x99N3w3/wAHEHi746P/AMFPxYajNqiWWi6LpL/DiNYDtCNGkjyQAD94xvRMpbBJaML0VRX6ffDn4I/CbRP+Cg918ctL8A2EHi/V/Gmq2WpeIFVjcT266XKFjOSQoxHH90DO0ZzSf8FFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK/MamDnHh/ER9o/dr/fZqP43v6pH77wj4g5HwxxvDM44LnhOhUTjaKcZ1Hz2j05I29mno3CUnyq/IfVHwqvPF+ofC/w3qHxBt2h1+fQLOTXInjCFLxoEMylRwpEhYYHArfoor9NiuWKR+DVZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7n5G/8HVHiP4sWvg74T+FdPlvU8EXt/qM+qiJP9Hl1ONIhbCRh/EInuCqnrlyM44k/4JxfHdPFP7EPhDT/AI+ftjX9tcfYrjT5PDupeOrO3jOmRyvDBA8LfP5ZgVVwSGK9+Qa/T346/s+/Bf8Aaa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufl+IrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CRvxn+J3hn9ty+l8QfHXWfCVn4kstQl8eaq+ux2T3UqrJKhnkuODJ9pYf7eXYdC1f0lVwXwt/Zc/Z6+CfjLxT8QvhT8JNG0LWvG18LzxTqNjbYk1GffI+98kgfNLI2FwCXJxmvnc7yXEZrXozpVnT5L7Xvr1Vmtem+x+ocE8fZfwrwrm+VV8IqssZCMYy0tFq6fNfWyvzRttNLvdfPnwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPzvGYtYucWo8qStYK5i9+F2k3vxEh+IUl2/mRIN1tsG1pAu1Xz14Hb1A+h6eivQxGFw+KUVVjflakvJrZnPTq1KTbg7XVvkzmviN8NNO+I0FpFe38lu1pMWDxoGLI2Ny89M4HPb0NdFBDFbQJbwrtSNAqKOwAwKfRThhcPSrzrRjaU7Xfe2wSq1JU1BvRbfMK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c/uTXCfHH9mP4A/tLW+i2nx5+FOkeKY/DuqLqOipqsBcWtyBjeuCMgjGVOVbAyDgVwZ3l1TNMvlh4S5W2n5aPr/W5994X8ZYPgPjClm+Koe1hGM4tK3MuaLV430v0f91s+Df2WfjrZfEX4A/D+9+OH7Yl3q/iPUdG0+41fw/q/jmzKzX3yOiPbrh94kEbBM53AZ5yK+8/2dvCTeE/hyFkEwfUdRub90mGCplfOAMDjABGfWu2+yWobcLaPOeuwVJXDlWQ1svxjxFXEOo+Xl1Wyunu2+x8xm+b08zq1J06MaSnNy5Y7K7eiVlor2Xkgrn/AIqfCv4d/G74fap8Kviz4Rs9e8O61biHVNJv0LRXCBgwBwQQQyqwIIIKgggiugor6OUYzi4yV0zyKNarh6satKTjKLTTTs01qmmtU09U1sYPw6+F/wAPfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwrxz/goNrnj3w3+xd8RNb+Gt5qNtqsHh5ybvR4fMu7a1LoLqaEf89EtjM6kZIKgjkCvY6SSOOWNopUDKwIZWGQQexrOvTdahKmna6av2utzqy7FQwGYUcTKCmqc4ycXtJRadnvo7WejPzX1r43+DPDv7UGk+EfCP7Ub+FfDsnwtFzfrpHiqztbeUi7i/sxvNk3Fy0Et4yqDgptfoQT9C/srWHhTx/wCOtL8W+EfiAfFEOk6jc3t7rsWrRXxuLlrWS3ImmjypYJMvyjBAVewOfZ/gR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+PwHCmJw06MquJbUJKXKk+W6d9Lv8bdz3s6zvLcRVcMDSahy8qlJJTl3lJRur3dkuZ2SSu7DqKKK+1PlD8qrj436toHwh+F+seKPjpf8Ahzx7qvxakh8Z3cupW1pewXhnuxrME3m5FvHDG7qMAbFFuB99d3vPgCbwJ8atauvC2gfHqbxzqWoWyWtxM3ii31G5s7Yvg7REMRpliSWGM96+n/D37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/wDSbuECMbWOcDPkxZIALbFyTiu6jt4IjuihRT6qoFfC0+D8VZxqYp8rleyTs9b3eu79Hr3Pt884lyvG11UwWH5b8zbaimpTbbjHlv7kPhjs2ru0b8qfRRRX3R8QFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/wC2b+3V+zl+wR8PtP8AiT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA/wDwW48OfEvQPEXwb/aP8H/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E//hN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/AMZ/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf9of4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf8AghTr2pXv/BLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/4KFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8Eh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/goV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/8XI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/Bwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv+CsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/AIJ3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/4fEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/APwb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/+Cl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8FUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8ABSP4N/HHxV/wWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH//2Q==", 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", 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", "info": {"equation": "15+9*5=60", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "cf91eb6b39e48d261873bf51db3e8e28b7da89353ef1e340aebb2bd01e2d7f61"}
+{"episode": 86231, "episode_seed": 3151580660, "split": "train", "timestamp": "2025-10-28T03:51:05.779512", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3151580660, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 1, 1, 7])</answer>", "action": "('move', [7, 1, 1, 7])", "reward": 0.0, "image": 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8m4f4hybM/qvP7L+IrR6U1RTh3as6t5cvvu3Tnl5x/wAEHtX+Jesf8Ewfh3J8TIbhXt0vLfQ2uYBGz6YlzItsQBjK7BhWPVQp5GCfsGvM/wBjnRtK8O/s0+FPD2g6dDZ2NhZS21laW6BY4IY55FRFA6KqgAD0FemV9nlkeTLqMb3tGP5I/NeJsyp5zxHjMfCmqcatWc1FbRUpN2+Vz8jf+DqjxH8WLXwd8J/Cuny3qeCL2/1GfVREn+jy6nGkQthIw/iET3BVT1y5GccXf+CY/wC0jqU37HXgTUvi9+2pqWmatp8ckFto9946srdI7K3naO1jaFxv2eSiDDHJX65r9NPjr+z78F/2mvAEnwu+PXw70/xPoEt1FctpupIxQTRklJFKkMrDJGQRwxHQkV0mjeGvD3h7R7Tw/oWiWtpY2FtHb2VpbwKkcESKFRFUDAVVAAA6AV4GO4cxmLzOpiaeJdNSS2vfRWtutOvzPusV4h5dX8NMDwz9SXtaFWc3UdrNPmato3zPntK+loR32jy/wF1XXtY8DfbdcuZZw10/2SeZizSRYBzk9RnODXa0AADAFFfR4HDSweEhRlJycVa76n5dXqKtWlNK1+gVh/E278V2Hw28Q33gO3MuuQ6HdyaLEsYcvdiFzCu08NlwoweDW5RXTJc0WhUpqnVjNpOzTs9n5PyP5+P+Dfrxh8etQ/4KvC+lm1W7m13Stbf4l3F3AXkaMq0zSXBYZRjfLbAtwd7bf4jX9A9fHv7HPwT+E3w9/a51/wCJPgnwDYabr3ixfFUviPVbdW86/ddZhILliQOWJwuASckcCvsKvmuE6Lo5ZKLk378t/J2/S/qz9M8W+McHxxxTDMMNh/YxVGnC2l20m23bTTm5Y/3Yx22XM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df8A4JIfFv4heHP26LrU/Enxq1TwpH4g03Uj431uTWYrKadsNMBLNcA4ZroRkj7xJPbNf0nV8dfsPfA34Q/Dv9pnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rm4lwVTF47CRhUcG3JXXTS91qtdLG/AnHGB4a4RzrLK2FVWWKhFRk7aWbXvX6Lm5o22ml3uvBfjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/AOES8Vf2zbavq41ZLpEsbKJgSFjcGYNAoCsjTSMCVLr+n9fHPx5+B3wh179u7TvjXrPw+0658V6FrHhW10fXJUYzWkL3g3KgztGfMfnGfmODX2NV8MYWeEq4qEpubU7XfWy366u+vofK8RZrTx2XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsrnvirb6VcfD7VF1ltsK2xZWCglXH3CAe+7FdDXif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg162eYqnhMrqSkr8y5Uu7lol/XQ+dwNKVbFRS0s7t9kjzv9lHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3P7k15X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHfnmXzzPLpUIz5W2nd7aPr/AFvY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8J/Aj4i+Cf2gf2Y/Auh/tSftVS+KNR1rRtNn8Q+EPEPjq0aC9vAUkjintVw0n7wRt5TE5YAMDyK+nP+CXmn6d4d8PfE/wAGeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtX0f8Abi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvn8tyyvgOI4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/AMHNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/U5nio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/4P+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/wDgjV8edYh/ZFbw98T/ANr/AFXwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdeHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfS16brUZU07XTV+11ufM5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/wCCF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr7+0vwx8FtL+Pfwu+LvwI1yx8QfEPWPi7bRXXiqy1CDVNS1a1mj8vV0uJwSWhj08FiBhYRHDtC7vm+zf2U/hJ+x78L/Bur6b+x7oHg620O51+aXWf+ERvIrmH+0QiLIkjo7hXVQg8vI2gjCjNeH+EPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX51PIMRl/1RyxDknUiklflV23da/otz9k4p8Q8FxHxnj81p4edCMqTXJZc1RqCjy1tUuV7y+LRKNteZfYtFFFfpR+GH80/7Pnxc+P8Apf8AwVr/AOE2+J/xF1bwx4t1Dx7fWnjjV57uKyntIWkdLqNnlGyFVjUoB0UKoXotfo9+0Ro37K/xR+G/i/4j+Mvi9ZeO/EWh+Epf7I16/wDEttquoaK6MZLU2SocQytd+Vt2rulk2RncCEP374e/Ze/Z88KfG/W/2kvDvwl0e08deI7JbTW/E0Vv/pN3CBGNrHOBkQxZIALbBknFfOf/AAUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+Z5nw5isBgKlWWJbjzJ8utneSSb136vT5n71xB4n5ZxXxTgcbQw0sNGjRjCXJy8zcE5OKs0vZ39xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv0uK5YpH4TWqKrVlNJK7bstlfovJH55ftj/E+fwx4/8A2lr/AOJPxBu9GvNG8N2Q8Iee8UbW2mHSg1rPZo/EpfU5LxN2DulRY+cBa0vhf8U/CXjS28MweKf2rJfFevtaQS/2Df8Ajezux9va3xIUgiwS67pQAM4BPFfX/wASf2Yf2f8A4wfEfwt8Xvid8J9I1rxL4KnM3hbWL2AtNp8hZX3IQcHDKrLuB2sMjB5ruFtbVG3pbRgjoQgr4vEcKYvEYqvU+tOMajbsk3dPo9Vtst9D7HHcR5VVwOHhQw/7yMY87aiknGEYLkau2pcrnJtJ80rWduaXN/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPjJyc5uXcKKKK1JCiiigAooooA8X+C/wAPzYfGzVPEbaZJZjTodQhEMakRb7u6imc5bkkmPcMHo5PcV7RRRXn5ZgFluG9ipc2rd35u50YrEPE1edq2iX3HL/G6/wDHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXm53kuIzWvRnTrOnyX2vfXqtVr032Po8izvLMuy3EUcTR55yu4aRs24yhabeqUebnhZP3lZpX5o/PvwEj8G/FnxraN4W+LsnjSe312xvdU1Zdfg1GeMW0qzRRyPF8qJ+7IAIBO5sHJ4+wKbHDDDnyolXPXauKdXVk2VSyqlOMqrqOTu2/RLu/zPAxmLWLnFqPKkrWCuYvfhdpN78RIfiFJdv5kSDdbbBtaQLtV89eB29QPoenor0MRhcPilFVY35WpLya2Zz06tSk24O11b5M5r4jfDTTviNBaRXt/JbtaTFg8aBiyNjcvPTOBz29DXRQQxW0CW8K7UjQKijsAMCn0U4YXD0q860Y2lO133tsEqtSVNQb0W3zCvw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3P7k1wnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4FcGd5dUzTL5YeEuVtp+Wj6/wBbn33hfxlg+A+MKWb4qh7WEYzi0rcy5otXjfS/R/3Wz4N/ZZ+Otl8RfgD8P7344ftiXer+I9R0bT7jV/D+r+ObMrNffI6I9uuH3iQRsEzncBnnIr7z/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZDWy/GPEVcQ6j5eXVbK6e7b7HzGb5vTzOrUnToxpKc3Lljsrt6JWWivZeSCuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIroKK+jlGM4uMldM8ijWq4erGrSk4yi0007NNapprVNPVNbGD8Ovhf8PfhL4G0r4afDbwhY6PoOiWSWmlaZZwgR28KjhRnJPqSSSSSSSSTW6qqoCqoAHQAUtFEYxikkrJCq1alepKpUk5Sk2227tt6ttvdvqwrw/8A4KV+I/ix4R/YJ+K3iT4HyXqeJ7PwddSadNpse64iXAE0kY6h1hMjAjkFcjkCvcKSSNJUaKVAysCGVhkEehrOvTdajKmna6av2utzsyvGRy7M6GLlTU1TnGTi9pcsk+V+TtZ+R/PJ/wAEMvjB4n8GfEjxn4M1T9oXUfBHhG40RL64SDxHb6fFPqKzRxxHMwOW8ppsheoUbvurX68fsrWHhTx/460vxb4R+IB8UQ6TqNze3uuxatFfG4uWtZLciaaPKlgky/KMEBV7A59o+BP7MH7Pv7Mnh6/8KfAP4TaP4W07VNTfUL+10y32rNcsqqXO4k/dVQAOABwBXdRxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpctny3Tvpd/p3P0DxI49wPGnE+JzPCYX2UaqjFXtzO0VG8raXdu+yXYdRRRX2p+YBXi37THw8Hjnxdp2mDTJAdV046e17bqfM2GQllycqNoO4ZHck8CvaaK8/M8AsywjoOXKrp39GmdGFxDw1X2iV9/xQUUUV6BzhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/8Atm/t1fs5fsEfD7T/AIk/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP8A8FuPDnxL0DxF8G/2j/B/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/wDGf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/aH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/AIIU69qV7/wS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv+ChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/BIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/4KFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P/FyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/grD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/wCCd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf+HxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx/wD8G9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP/gpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/BVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/AAUj+Dfxx8Vf8Fmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//9k=", 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", 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", "info": {"equation": "0+18*3=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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hW1ufDl/eIzNYTG+mJdADtJyiEbgcFQRg16b/AMFC/hZ8O/jR8KPD3w7+KnhK11zQ77xpbm7028LCOUpa3bqSUIPDKDwe1fn+Iwk/Z5qud7p/+3W+73fQ/YuFuM8m4f4hybM/qvP7L+IrR6U1RTh3as6t5cvvu3Tnl5x/wQe1f4l6x/wTB+HcnxMhuFe3S8t9Da5gEbPpiXMi2xAGMrsGFY9VCnkYJ+wa8z/Y50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXplfZ5ZHky6jG97Rj+SPzXibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/g6o8R/Fi18HfCfwrp8t6ngi9v8AUZ9VESf6PLqcaRC2EjD+IRPcFVPXLkZxxn/8EzPiz4yvP2IvCfxF+LnxUubOfTfiJb20PiG/1SKFrext7aGC2iaZ/lVBEiQ4bkqcdwa/VH46/s+/Bf8Aaa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXhV3oOieHf2oofDWg6Tb2en2PjzS7ezsreIJFDEmgwKiKo4CqoAAHQCvjeIcmrvMY4pVbKpOnFLW6e1/la6829uv6IuPsBjPDXCcMxwiVXDzqVJVNLST5ml3u+e0r6WhHe9o+4/AXVde1jwN9t1y5lnDXT/ZJ5mLNJFgHOT1Gc4NdrQAAMAUV9tgcNLB4SFGUnJxVrvqfkleoq1aU0rX6BWH8TbvxXYfDbxDfeA7cy65Dod3JosSxhy92IXMK7Tw2XCjB4NblFdMlzRaFSmqdWM2k7NOz2fk/I/n4/4N+vGHx61D/gq8L6WbVbubXdK1t/iXcXcBeRoyrTNJcFhlGN8tsC3B3tt/iNf0D18e/sc/BP4TfD39rnX/iT4J8A2Gm694sXxVL4j1W3VvOv3XWYSC5YkDlicLgEnJHAr7Cr5rhOi6OWSi5N+/Lfydv0v6s/TPFvjHB8ccUwzDDYf2MVRpwtpdtJtt2005uWP92MdtlzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/4JIfFv4heHP26LrU/Enxq1TwpH4g03Uj431uTWYrKadsNMBLNcA4ZroRkj7xJPbNf0nV8dfsPfA34Q/Dv9pnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rm4lwVTF47CRhUcG3JXXTS91qtdLG/AnHGB4a4RzrLK2FVWWKhFRk7aWbXvX6Lm5o22ml3uvBfjho3wQ1fRLj46/DbxxZ+NPivaeJ9D/4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1XwxhZ4SrioSm5tTtd9bLfrq76+h8rxFmtPHZdgqMXJuEZNuXTm5UqcdX7kFC8fh1lK0Vuyue+KtvpVx8PtUXWW2wrbFlYKCVcfcIB77sV0NeJ/tgfFRvDHhO40fRrCW+u7SITmyiHNzO2Ft7cHBOXkZR04yDXrZ5iqeEyupKSvzLlS7uWiX9dD53A0pVsVFLSzu32SPO/wBlHxD4W8aftca7b6jC5uvC/hprXw68kUZilmeWJtSeNt5bfGHsIj8i7d7jJ3ED6wr5OvPgdrf7ON78PtU0K6W61XQbpL/U7p3Qf2jJcbl1Zd5iAHmmaSVQAvzrFkqBkfWEciSossbBlYAqwOQRXn8Lv2GDlgpq1Sk7Nd76p/P9DpzRc9ZV4u8ZrT5boWvw2/4OjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3P7k15X+1H8KP2P/AIo2XheL9rnRPB93BY+I4n8J/wDCW3sUCnUmB2RwmR1813A/1XzB9oypwMd+eZfPM8ulQjPlbad3to+v9b2PsfCvi7D8EcZ0c0rYZ14xjOPLFJyXNFq8b9Vs/wC65Hwn8CPiL4J/aB/Zj8C6H+1J+1VL4o1HWtG02fxD4Q8Q+OrRoL28BSSOKe1XDSfvBG3lMTlgAwPIr6c/4Jeafp3h3w98T/BngCyit/AekfEmaLwfBZ26JaQM9nbS6hDbFOGiS/e5HGQshkQY27V9H/bi8CeDviB+zNr3grxp4cttR0rVb7SrbUbGdSEnifU7UMhKkHBHoQao/sDeA/Bvww+BMvw++Hvhy20jRNJ8S6hBp2m2akRwR+bnAySTkkkkkkkkkkmvn8tyyvgOI4wqV5VH7Nu77c1rbvTr6nNj+IMPjchxSjBw9tVuqat7KF2pc8dfj09mvdXuN+872Pa65H48eEfgv47+EGv+FP2ibLRbjwTd2JHiKPxDcLFZCBWD7pZHZQgVlVg2RtKggggV11fnH/wc2+JPixov7C2iaX4HlvY/D2qeNbeDxk9omUaBYpJIEmYcrGZ0Q+hdUB5wD9TmeKjg8vqVpR5lFPTv6+XfyPN4HyOrxJxdgstpVvYyq1IpT2cba3jt72nu6r3rao+8/g54O+D/AIP+FXh/wz8DtK0aHwfZ6VCnhxNEdJbQ2m3MbROpIkVgd2/J3Z3ZJOa6hVVQFVQAOgAr8W/+CNXx51iH9kVvD3xP/a/1Xwva6N4kuLTwvo7eNbSxWKx2RyHbHKC5Xz5JsE8dQOBX6tfs0+LNY8Z+HLvXrjXTqmnXLRy6dqInEqTh1JLRuPlZCNpBXjnivDyrifC5jiKeGhSlFteXKrK+nl0Wi6HXxrwtieGuIMbhKtdVXSqSXPd3lru7/a195XdnfV7npdeHf8FK/EfxY8I/sE/FbxJ8D3vU8T2fg66fTpdNj3XES4AmkjHUOsJkYEcgrkcgV7jSSRpKjRSoGVgQysMgj0NfS16brUZU07XTV+11ufM5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/ng/4IX/FXXPBPxS8beG9R+Pd74H8MXvh+K6vJLbxBbaet1fxzqkALzAliI5Ln5V+p6Cv0C0TQ/hDoPx3+GnxX/Z/8TWuufEDxD8Wba21HxPp2pw6lqOt2UqgatFdzKxMlvFYoJCvCwGGAqEJG77J/ZT+En7Hvwv8G6vpv7HugeDrbQ7nX5pdZ/4RG8iuYf7RCIsiSOjuFdVCDy8jaCMKM14f4Q+CHwi0r/gorcfHTTvh9p0XjDUPG15YXniBUbz5LZdBcCPk7VGEQZABO0ZNfnU8gxOXfVHLEOSdSKSV+VXbd1r+i3P2TinxCwXEfGePzWnh50IypNcllzVGoKPLW1S5XvL4tEo215l9i0UUV+lH4YfzT/s+fFz4/wCl/wDBWv8A4Tb4n/EXVvDHi3UPHt9aeONXnu4rKe0haR0uo2eUbIVWNSgHRQqhei1+j37RGjfsr/FH4b+L/iP4y+L1l478RaH4Sl/sjXr/AMS22q6horoxktTZKhxDK135W3au6WTZGdwIQ/fvh79l79nzwp8b9b/aS8O/CXR7Tx14jsltNb8TRW/+k3cIEY2sc4GRDFkgAtsGScV85/8ABRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5nmfDmKwGAqVZYluPMny62d5JJvXfq9PmfvXEHiflnFfFOBxtDDSw0aNGMJcnLzNwTk4qzS9nf3Fd6R1cX8B9U/CW88Y6j8KvDOofEW2aHxBP4fspNdhaMIY7xoEMylRwpEhYYHAroKKK/S4rlikfhNaoqtWU0krtuy2V+i8kfnl+2P8T5/DHj/wDaWv8A4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFrS+F/xT8JeNLbwzB4p/asl8V6+1pBL/YN/wCN7O7H29rfEhSCLBLrulAAzgE8V9f/ABJ/Zh/Z/wDjB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvi8Rwpi8Riq9T604xqNuyTd0+j1W2y30PscdxHlVXA4eFDD/vIxjztqKScYRguRq7alyucm0nzStZ25pc38FvCR8D/AAt0bwyxl3QWxdhPjeGkdpCDgDGC5GPauooor7ChSVCjGmvspL7lY+MnJzm5dwrxbV/h+2sftNw6k2myW/k6nFqsk0KnE5jtPIVmJyOgVOMfcHvXtNFcmYYBY/2V5W5Jxn626G2HxDw/NZX5k194UUUV6BzhRRRQB4v8F/h+bD42ap4jbTJLMadDqEIhjUiLfd3UUznLckkx7hg9HJ7ivaKKK8/LMAstw3sVLm1bu/N3OjFYh4mrztW0S+45f43X/jnSvgv4v1T4YWzzeJbbwvqEvh2GKESNJfLbSGBQrcMTIEGDwelfm9Z/G/wt4bufgDY+FP2mb7QItX8NX7+INTXxBa21zdWf2FGklupZsmOU6jHCrDgmXzlI+Rgv6k1wPws/Zb/Z5+CXjLxT8QvhR8I9G0LWvG199s8U6jY22JNRn3yPvfJIHzyyNhcAlycZrzc7yXEZrXozp1nT5L7Xvr1Wq16b7H0eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBXMXvwu0m9+IkPxCku38yJButtg2tIF2q+evA7eoH0PT0V6GIwuHxSiqsb8rUl5NbM56dWpSbcHa6t8mc18Rvhpp3xGgtIr2/kt2tJiweNAxZGxuXnpnA57ehrooIYraBLeFdqRoFRR2AGBT6KcMLh6VedaMbSna7722CVWpKmoN6Lb5hX4bf8AB0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/7rZ8G/ss/HWy+IvwB+H978cP2xLvV/Eeo6Np9xq/h/V/HNmVmvvkdEe3XD7xII2CZzuAzzkV95/s7eEm8J/DkLIJg+o6jc37pMMFTK+cAYHGACM+tdt9ktQ24W0ec9dgqSuHKshrZfjHiKuIdR8vLqtldPdt9j5jN83p5nVqTp0Y0lOblyx2V29ErLRXsvJBXP8AxU+Ffw7+N3w+1T4VfFnwjZ694d1q3EOqaTfoWiuEDBgDggghlVgQQQVBBBFdBRX0coxnFxkrpnkUa1XD1Y1aUnGUWmmnZprVNNapp6prYwfh18L/AIe/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXh//AAUr8R/Fjwj+wT8VvEnwPkvU8T2fg66k06bTY91xEuAJpIx1DrCZGBHIK5HIFe4UkkaSo0UqBlYEMrDII9DWdem61GVNO101ftdbnZleMjl2Z0MXKmpqnOMnF7S5ZJ8r8naz8j+eT/ghl8YPE/gz4keM/BmqftC6j4I8I3GiJfXCQeI7fT4p9RWaOOI5mBy3lNNkL1Cjd91a/Xj9law8KeP/AB1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7R8Cf2YP2ff2ZPD1/4U+Afwm0fwtp2qam+oX9rplvtWa5ZVUudxJ+6qgAcADgCu6jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5bPlunfS7/TufoHiRx7geNOJ8TmeEwvso1VGKvbmdoqN5W0u7d9kuw6iiivtT8wCvFv2mPh4PHPi7TtMGmSA6rpx09r23U+ZsMhLLk5UbQdwyO5J4Fe00V5+Z4BZlhHQcuVXTv6NM6MLiHhqvtEr7/igooor0DnCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/9s39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/wCC3Hhz4l6B4i+Df7R/g/4LeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/gn/APCbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/ALQ/wivrq58M+L9Ii1LRJ72ze3leCT7peN/mQ8dDzXaV8i/8EKde1K9/4Ja/Cjwb4g+H3i3wxrHg/wAPx6Drmk+MvC91pN0l3Aqs5SK5RGki/eDbKBtYhgDkHH11QAUkkiRRtLIwCqCWJ7ClpJHEcbSMCQoJIAyTQB4l+yV/wUK/Zj/bX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/wCCQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wUK/Zo0/9sey/YW1LWddtfHepxTHS2uvC95Hpd9PDareS2kN+0Yt5bhLdllaJXLKp5weK9ur89vjPp3in4m/8F0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/AIOD/gl+2x8SfE3gL4gfAv8AZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/ABk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/AG5PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/jP+xv8Wfg/wDD4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4//AODejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/wUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/AIKofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv8Ags18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/2Q==", 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", 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", "info": {"equation": "0+18*3=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "244661ac9338c978a322594ad8f2b86ad266904b2f36c6f3eb1fedd4df413d5f"}
+{"episode": 86232, "episode_seed": 1791619832, "split": "train", "timestamp": "2025-10-28T03:51:05.823127", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1791619832, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 1, 4])</answer>", "action": "('move', [3, 0, 1, 4])", "reward": 0.0, "image": 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", "info": {"equation": "48/12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "48/12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "fde7236128d837a332d412fc21b90f2b7662dc627eb1f137e2e48f93dcf8c943"}
+{"episode": 86233, "episode_seed": 1897677842, "split": "train", "timestamp": "2025-10-28T03:51:05.877062", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1897677842, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [8, 4, 4, 8])</answer>", "action": "('move', [8, 4, 4, 8])", "reward": 0.0, "image": 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", 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zItsQBjK7BhWPVQp5GCfsGvM/2OdG0rw7+zT4U8PaDp0NnY2FlLbWVpboFjghjnkVEUDoqqAAPQV6ZXZlkeTLqMb3tGP5I8PibMqec8R4zHwpqnGrVnNRW0VKTdvlc/I3/g6p8R/Fi18H/Cfwtp8t6ngi8v8AUZ9VEUf+jy6nGkQthIw/iET3BVT1BcjOOKf/AATy+KHhvx5/wT/8LeBf2iP2sru0tZ9LudKuvCd547tLGB9JSV4YbZ4gVkWJoFCEFgWQ8nmv1N+Ov7PvwX/aa8ASfC749fDvT/E+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRWZ+0B4O8Kaf+yz418H2Hh2zg0qDwBqNlDp8MAWKO3FlJGIlUdFCfKAOgr5zM+HcVicdVxcMQ4KUVor30Wqeq00v83offy8RcBU8O8v4bjhLVcPWlUdVW2bk049eb3rPVaQjZ/y+Bf8ABOPw54W8BftA/FvwJ8GNEstO8ERafoV5d2GjWcUdhba/IlylysZjGBI1pFp7yRj7uUbA38/YNfOn/BO/4QfDD4GeHfGXw9+EPgmy8P6LDr9vPHp9grbPNksoS7ksSzMcDkk8ADoAK+i69ThmDhkdBXvpf723+B8NxXjqeYZ7VrU7tWjG8vilywjHmlZu0pWu1eVr25pbv46/4LzeJPix4Y/4Jk+PLv4Sy3sUlw9na+IJtPjzImlSzqlzkjlUZSEcj+B2zwSa/Mr/AIIleNviFqvgH4r+BtY8S3c3hnRfB15caJp8s4MVlczgfaXjHVN4igJ/hymeu7P72eKPDHh7xr4a1Dwd4t0e31HStWspbPUrC7jDxXMEqFJI3U9VZWII9DXyd+0D8CvhD+zj4S074UfA7wDYeG/D1l4C8SS22l6chCK8ktq7uSxLMxY9SSeg6ACvC4tyurUTxyqWjGKTj395fhrf1S+X3fDfHeBwfh3iOFZYVOrWrKoqumiSi358y5OVW05Zy1VrS9U/ZC8d6l470kanZeOn8S6OdLiWLWP7QW6SaVMJkSp8jMdrbsdxyM5r2uq+kokel26xoFHkJwBjsKsV9VleCnl+DVGdRzd27vfV37v8z8qxVeOIrOajyrsjmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/Ov8A8EkPi38Q/Dv7c91qniP41ap4Uj8QadqR8b65JrMVlNO2GmAlmuAcO10IyR94nPbNf0nV5T8CPhD+xz4G+JXj/wAQ/s8+HvBsHirV9YWT4jP4fu4proXpeVwt0iuxgcu0zbCFySxxnNeZnmTVs0xFGVOt7Plv669VqtdNddj9M4H46wfDHCec5ZVwftni4RipWVoWbXvt30XNzQt9tLvdfDXxnsfg3daTc/Hz4U/EO38XfFq18RaNF4T8Wxa5b6rrH9p/aFitLCJlOFikR50eBQFeOSd2BwWX9O6+Ofjz8DvhDr37d2nfGvWfh9p1z4r0LWPCtro+uSoxmtIXvBuVBnaM+Y/OM/McGvsaubhjCzwlTFQnUc2p2u+rS366u+vofMcR5rTx+XYKjFybhGTbl05uVKnHV+5BQvH4dZStFbsqh4o1638MeHrzXrr7trAzgf3j2H4nAq/Xif7YHxUbwx4TuNH0awlvru0iE5sohzczthbe3BwTl5GUdOMg17OcY5Zdl86q+LaK7ye3+fofOYOh9ZxEYdN36dTB/Zd8PSfEb43+JPjPrEazQeG0fQ9HldEbN9Nsnv5lbcSCF+zQ8hSCsw5ya+iq5D4C/DBfg58ItD+HstyLi7s7UyareDH+lX0rNNczcKoO+Z5G+6PvdK6+qynBLL8vp0eqV35t6v8AEWLr/WMRKfTp6dAr8NP+DpHxH8WJ/wBqjwH4T1uS9XwVB4KN14fiaPFs9+9zKt4yn+OQItoDnlQV6buf3Lryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GMc9y+eZ5dKhGfK207vbR9f63sfeeFfF2H4I4zo5pWwzrxjGceWKTkuaLV436rZ/3XI+EPgD4+8A/Hf9lzwF4Z/aa/ajbxJeatoemS674M13xvZm2u7pSjxQTWibS4EixnyTwWUBlPIr6f8A+CXmn6d4d8PfE/wZ4AsorfwHpHxJmi8HwWduiWkDPZ20uoQ2xThokv3uRxkLIZEGNu1fR/24vAng74gfsza94K8aeHLbUdK1W+0q21GxnUhJ4n1O1DISpBwR6EGqP7A3gPwb8MPgTL8Pvh74cttI0TSfEuoQadptmpEcEfm5wMkk5JJJJJJJJJJr57Lcsr5fxHGFSvKo/Zt3fbmtbd6dfU5sfxBh8bkOKUYOHtqt1TVvZQu1Lnjr8ens17q9xv3nex7XXI/Hjwj8F/Hfwg1/wp+0TZaLceCbuxI8RR+IbhYrIQKwfdLI7KECsqsGyNpUEEECuur84/8Ag5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6rM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/B/wq8P+GfgdpWjQ+D7PSoU8OJojpLaG025jaJ1JEisDu35O7O7JJzXUKqqAqqAB0AFfi3/AMEavjzrEP7IreHvif8Atf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uvDv+ClfiP4seEf2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9xpJI0lRopUDKwIZWGQR6Gvpa9N1qMqadrpq/a63PmcrxkcuzOhi5U1NU5xk4vaXLJPlfk7Wfkfzwf8ABC/4q654J+KXjbw3qPx7vfA/hi98PxXV5JbeILbT1ur+OdUgBeYEsRHJc/Kv1PQV+gWiaH8IdB+O/wANPiv+z/4mtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN32T+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/AMIjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGJy76o5YhyTqRSSvyq7butf0W5+ycU+IWC4j4zx+a08POhGVJrksuao1BR5a2qXK95fFolG2vMvsWiiiv0o/DD+af8AZ9+Lnx/0r/grX/wm3xQ+Iuq+GPFuoePr608b6vcXcVlPaQs7pdRs8o2QqsalAOihVC9Fr9Hv2iNG/ZX+KPw38X/Efxl8XrLx34i0PwlL/ZGvX/iW21XUNFdGMlqbJUOIZWu/K27V3SybIzuBCH3T4efA/wCEek/8FBbr436f8P8AT4vF2seNNVstS17Yxnnt10uULGckqBiNPugE7RnNM/4KI/A34QfEr4uaX4v8e/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/JauU11l1et7eXLGq48utm+ZLmeu+t9um5/QHE3iRlvEnFWX42jhnhlSoQi/Z25m4pycFqlyX9xXekdXF/AfVPwlvPGOo/CrwzqHxFtmh8QT+H7KTXYWjCGO8aBDMpUcKRIWGBwK6Ciiv1mK5YpH4HWqKrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7hWL8SNLGufD7XNEfTlvFvNJuIJLVwcTK8bKycc8gkcVtUU6sPa0pQva6a+8IS5JKXY8x/Zj8Jtomh6x4ikEytrOopJtlGBiKFIgV4zg7ffmvTqKK58vwawGCp4dO/KrX7mmIrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/0KwuIeFrqole1/yGW0It7eO3UkhECgn2GKfRRXoHOcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/+CRvxn+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+rCvD/wDgpX4j+LHhH9gn4reJPgfJep4ns/B11Jp02mx7riJcATSRjqHWEyMCOQVyOQK9wpJI0lRopUDKwIZWGQR6Gs69N1qMqadrpq/a63OzK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88n/AAQy+MHifwZ8SPGfgzVP2hdR8EeEbjREvrhIPEdvp8U+orNHHEczA5bymmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2j4E/swfs+/syeHr/wp8A/hNo/hbTtU1N9Qv7XTLfas1yyqpc7iT91VAA4AHAFd1HFHENsUaqPRRivj8BwpicNOjKriW1CSly2fLdO+l3+nc/QPEjj3A8acT4nM8JhfZRqqMVe3M7RUbytpd277Jdh1FFFfan5gflVcfG/VtA+EPwv1jxR8dL/w5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/+k3cIEY2sc4GfJiyQAW2LknFd1HbwRHdFCin1VQK+Fp8H4qzjUxT5XK9knZ63u9d36PXufb55xLleNrqpgsPy35m21FNSm23GPLf3IfDHZtXdo35U+iiivuj4gKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/2zf26v2cv2CPh9p/xJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf/gtx4c+JegeIvg3+0f4P+C3ivx7pHg9fGuja5ofgvRJNSvkm1vwzd6fZTfZ48sYvtJSJ36RrPuPANAH3T4V8UeHvHHhfTfGvhHWINR0nWLCG90vULV90VzbyoJI5UPdWRlYH0NX68i/4J/8Awm8Z/Ab9hb4OfBP4ix7Nf8J/DDQtJ1uLeG8q7t7CGKWPI4IV1Zc99teu0AFcz8Zvi94G+AXwq1/4z/Eu/uLbQfDemyX2pzWljLcyiJBkiOKJWeRycBVUEkkAV01ch8fviBpXwr+Cfin4h63omtala6TolxPPYeHNGm1G+nAQjbBbQK0kznPCKCTQBF+zt8fPhz+1J8DvC/7Q/wAIr66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/BCnXtSvf8Aglr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8ABQr9mP8AbX8R+LfB3wM8Raw+reCpbb+29L8QeG7zS7j7PchzbXkUd1GjTW0wjkMcygq2047Z9ur4C/4JD/FnUP2nv2oPj3+1h8V/hB8RvB3jnxVeWOl6ZoPjH4e6hpFppHhXTpbmHTbeK5uYkju7mZpLi7n8skIbhEHCZP37QAUUUUAeI3X/AAUK/Zo0/wDbHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv8AwXR+Dvin4XfB/wCLkd74Bt9asviHrXiXSrj/AIQyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/gl+2x8SfE3gL4gfAv9l5fib4U8Jy6M1nDaeJha3Wla5J4n0uV7j7KsEslwrW1oluZhtW2iubmVtyqy1+nenTXtxp8E+o2a29w8KtPbrLvETkAsobA3YORnAzigCaiiigDzT9rD9q74V/safCgfGL4vW2vXGmya1ZaTa2XhjQJ9Uv7u8u5hDBDDbW6tJK7uwUBQTzXU/CT4l6P8ZPhponxT8P6Jrem2Wu6el3bWHiTRptOv4EYcJPbTqskDjujgEV4V/wAFYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/wCCUy/tJp/wTv8AhOv7XjayfiF/wjC/28fEjZ1Lb50n2b7Wev2n7N5Hm558zfnnNAH0HRRRQBW1nWNK8PaRd+INd1CG0sbG2kuLy7uJAscMSKWd2Y8BQoJJ7AV5d+yD+2x8B/25PAl98Sf2f7/W7nSLK/Futzrfhq7037WjRrJFdW4uY0M9tKjBo5kyjjODwRV39tb4a+L/AIz/ALG/xZ+D/wAPiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj//AIN6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef8AwUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/wDDf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/4KR/Bv44+Kv+CzXw/wDG/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/9k=", 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", "info": {"equation": "14+5*9=59", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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jSXqeCb/WtQl1/wAmP9xJqMccP2NJGHfy3u2VTwdrHqox+sleC/8ABQv4WfDv40fCjw98O/ip4Stdc0O+8aW5u9NvCwjlKWt26klCDwyg8HtXjcRU3VySuk7e7f7tbfO1j7Tw34iw3CfG+CzWvS9rCnJ3jpf3ouN1fTmjfmje2qWq3POP+CD2r/EvWP8AgmD8O5PiZDcK9ul5b6G1zAI2fTEuZFtiAMZXYMKx6qFPIwT9g15n+xzo2leHf2afCnh7QdOhs7GwspbaytLdAscEMc8ioigdFVQAB6CvTK7MsjyZdRje9ox/JHh8TZlTzniPGY+FNU41as5qK2ipSbt8rn5G/wDB1T4j+LFr4P8AhP4W0+W9TwReX+oz6qIo/wDR5dTjSIWwkYfxCJ7gqp6guRnHFP8A4J5fFDw348/4J/8AhbwL+0R+1ld2lrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsCyHk81+pvx1/Z9+C/7TXgCT4XfHr4d6f4n0CW6iuW03UkYoJoySkilSGVhkjII4YjoSKzP2gPB3hTT/wBlnxr4PsPDtnBpUHgDUbKHT4YAsUduLKSMRKo6KE+UAdBXzmZ8O4rE46ri4YhwUorRXvotU9Vppf5vQ+/l4i4Cp4d5fw3HCWq4etKo6qts3Jpx683vWeq0hGz/AJfAv+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP8Agnf8IPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdepwzBwyOgr30v97b/AAPhuK8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/AATJ8eXfwllvYpLh7O18QTafHmRNKlnVLnJHKoykI5H8Dtngk1+ZX/BErxt8QtV8A/FfwNrHiW7m8M6L4OvLjRNPlnBisrmcD7S8Y6pvEUBP8OUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/+CSHxb+Ifh39ue61TxH8atU8KR+INO1I+N9ck1mKymnbDTASzXAOHa6EZI+8Tntmv6Tq8p+BHwh/Y58DfErx/4h/Z58PeDYPFWr6wsnxGfw/dxTXQvS8rhbpFdjA5dpm2ELkljjOa8zPMmrZpiKMqdb2fLf116rVa6a67H6ZwPx1g+GOE85yyrg/bPFwjFSsrQs2vfbvoubmhb7aXe6+GvjPY/Bu60m5+Pnwp+Idv4u+LVr4i0aLwn4ti1y31XWP7T+0LFaWETKcLFIjzo8CgK8ck7sDgsv6d18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1c3DGFnhKmKhOo5tTtd9Wlv11d9fQ+Y4jzWnj8uwVGLk3CMm3LpzcqVOOr9yChePw6ylaK3ZXPfFW30q4+H2qLrLbYVtiysFBKuPuEA992K6GvE/wBsD4qN4Y8J3Gj6NYS313aRCc2UQ5uZ2wtvbg4Jy8jKOnGQa9bPMVTwmV1JSV+ZcqXdy0S/rofO4GlKtiopaWd2+yR53+yj4h8LeNP2uNdt9Rhc3Xhfw01r4deSKMxSzPLE2pPG28tvjD2ER+Rdu9xk7iB9YV8nXnwO1v8AZxvfh9qmhXS3Wq6DdJf6ndO6D+0ZLjcurLvMQA80zSSqAF+dYslQMj6wjkSVFljYMrAFWByCK8/hd+wwcsFNWqUnZrvfVP5/odOaLnrKvF3jNafLdC1+Gn/B0j4j+LE/7VHgPwnrcl6vgqDwUbrw/E0eLZ797mVbxlP8cgRbQHPKgr03c/uXXlf7Ufwo/Y/+KNl4Xi/a50TwfdwWPiOJ/Cf/AAlt7FAp1JgdkcJkdfNdwP8AVfMH2jKnAx357l88zy6VCM+Vtp3e2j6/1vY+x8K+LsPwRxnRzSthnXjGM48sUnJc0Wrxv1Wz/uuR8IfAHx94B+O/7LngLwz+01+1G3iS81bQ9Ml13wZrvjezNtd3SlHigmtE2lwJFjPkngsoDKeRX0//AMEvNP07w74e+J/gzwBZRW/gPSPiTNF4Pgs7dEtIGeztpdQhtinDRJfvcjjIWQyIMbdq+j/txeBPB3xA/Zm17wV408OW2o6Vqt9pVtqNjOpCTxPqdqGQlSDgj0INUf2BvAfg34YfAmX4ffD3w5baRomk+JdQg07TbNSI4I/NzgZJJySSSSSSSSSTXz2W5ZXy/iOMKleVR+zbu+3Na2706+pzY/iDD43IcUowcPbVbqmreyhdqXPHX49PZr3V7jfvO9j2uuR+PHhH4L+O/hBr/hT9omy0W48E3diR4ij8Q3CxWQgVg+6WR2UIFZVYNkbSoIIIFddX5x/8HNviT4saL+wtoml+B5b2Pw9qnjW3g8ZPaJlGgWKSSBJmHKxmdEPoXVAecA/VZnio4PL6laUeZRT07+vl38jzeB8jq8ScXYLLaVb2MqtSKU9nG2t47e9p7uq962qPvP4OeDvg/wCD/hV4f8M/A7StGh8H2elQp4cTRHSW0NptzG0TqSJFYHdvyd2d2STmuoVVUBVUADoAK/Fv/gjV8edYh/ZFbw98T/2v9V8L2ujeJLi08L6O3jW0sVisdkch2xyguV8+SbBPHUDgV+rX7NPizWPGfhy7164106pp1y0cunaiJxKk4dSS0bj5WQjaQV454rw8q4nwuY4inhoUpRbXlyqyvp5dFouh18a8LYnhriDG4SrXVV0qklz3d5a7u/2tfeV3Z31e56XXh3/BSvxH8WPCP7BPxW8SfA971PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe40kkaSo0UqBlYEMrDII9DX0tem61GVNO101ftdbnzOV4yOXZnQxcqamqc4ycXtLlknyvydrPyP54P+CF/xV1zwT8UvG3hvUfj3e+B/DF74fiuryS28QW2nrdX8c6pAC8wJYiOS5+Vfqegr9AtE0P4Q6D8d/hp8V/2f/E1rrnxA8Q/Fm2ttR8T6dqcOpajrdlKoGrRXcysTJbxWKCQrwsBhgKhCRu+yf2U/hJ+x78L/Bur6b+x7oHg620O51+aXWf+ERvIrmH+0QiLIkjo7hXVQg8vI2gjCjNeH+EPgh8ItK/4KK3Hx0074fadF4w1DxteWF54gVG8+S2XQXAj5O1RhEGQATtGTX51PIMTl31RyxDknUiklflV23da/otz9k4p8QsFxHxnj81p4edCMqTXJZc1RqCjy1tUuV7y+LRKNteZfYtFFFfpR+GH80/7Pnxc+P8Apf8AwVr/AOE2+J/xF1bwx4t1Dx7fWnjjV57uKyntIWkdLqNnlGyFVjUoB0UKoXotfo9+0Ro37K/xR+G/i/4j+Mvi9ZeO/EWh+Epf7I16/wDEttquoaK6MZLU2SocQytd+Vt2rulk2RncCEP3J4Q+Ef7HekftSeKPiT4K8P8Ag5Pi5f6TEni2eyu4m1b7GVh2NPCHLRowSD5yq7sJknivDP8Agoj8DfhB8Svi5pfi/wAe/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/Mcy4dxOBwFSq8S3Hm+FXs7ySu9fi6vTfqfvvEfiXgOJ+KsBjKeFlhVRoQi+RJSfKnLljrFezekYtt2j73K/hPqn4S3njHUfhV4Z1D4i2zQ+IJ/D9lJrsLRhDHeNAhmUqOFIkLDA4FdBRRX6bFcsUj8GrVFVqymkldt2Wyv0Xkgrz79pHSBqfgi0uDpguDY6rHcK+0kwHZIm8Y9nK88YY16DRXLj8J9ewVTD83LzJq/YrD1fYVo1LXs7nL/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK2oUlQoxpr7KS+5WM5yc5uXcKxfiRpY1z4fa5oj6ct4t5pNxBJauDiZXjZWTjnkEjitqinVh7WlKF7XTX3hCXJJS7HmP7MfhNtE0PWPEUgmVtZ1FJNsowMRQpECvGcHb7816dRRXPl+DWAwVPDp35Va/c0xFZ4ivKpa1wrxr9qrwK/ja603Thpbsb7TrvTFvIFJkRbjYHQdQPuKwyP4T2Br2Wis80wCzPBSw7lyp219Gn+hWFxDwtdVEr2v+Qy2hFvbx26kkIgUE+wxT6KK9A5zmfjTfeN9L+DnizU/hnbPN4kt/DN/L4fhjhEjPfLbuYFCtwxMgQYPB6V/O3/wSN+M/wATvDP7bl9L4g+Ous+ErPxJZahL481V9djsnupVWSVDPJccGT7Sw/28uw6Fq/pKrgvhb+y5+z18E/GXin4hfCn4SaNoWteNr4XninUbG2xJqM++R975JA+aWRsLgEuTjNfO53kuIzWvRnSrOnyX2vfXqrNa9N9j9Q4J4+y/hXhXN8qr4RVZYyEYxlpaLV0+a+tlfmjbaaXe6+fPgJH4N+LPjW0bwt8XZPGk9vrtje6pqy6/BqM8YtpVmijkeL5UT92QAQCdzYOTx9gU2OGGHPlRKueu1cU6urJsqllVKcZVXUcndt+iXd/mfneMxaxc4tR5UlawVzF78LtJvfiJD8QpLt/MiQbrbYNrSBdqvnrwO3qB9D09FehiMLh8UoqrG/K1JeTWzOenVqUm3B2urfJnNfEb4aad8RoLSK9v5LdrSYsHjQMWRsbl56ZwOe3oa6KCGK2gS3hXakaBUUdgBgU+inDC4elXnWjG0p2u+9tglVqSpqDei2+YV+G3/B0Z4o+Lo/as8A+GdTur+Lwba+DPtnhxQpWBtRa5lW7dWH3pFRLQHuoK4xu5/cmuE+OP7MfwB/aWt9FtPjz8KdI8Ux+HdUXUdFTVYC4tbkDG9cEZBGMqcq2BkHArgzvLqmaZfLDwlyttPy0fX+tz77wv4ywfAfGFLN8VQ9rCMZxaVuZc0Wrxvpfo/wC62fBv7LPx1sviL8Afh/e/HD9sS71fxHqOjafcav4f1fxzZlZr75HRHt1w+8SCNgmc7gM85Ffef7O3hJvCfw5CyCYPqOo3N+6TDBUyvnAGBxgAjPrXbfZLUNuFtHnPXYKkrhyrIa2X4x4iriHUfLy6rZXT3bfY+YzfN6eZ1ak6dGNJTm5csdldvRKy0V7LyQVz/wAVPhX8O/jd8PtU+FXxZ8I2eveHdatxDqmk36ForhAwYA4IIIZVYEEEFQQQRXQUV9HKMZxcZK6Z5FGtVw9WNWlJxlFppp2aa1TTWqaeqa2MH4dfC/4e/CXwNpXw0+G3hCx0fQdEsktNK0yzhAjt4VHCjOSfUkkkkkkkkmt1VVQFVQAOgApaKIxjFJJWSFVq1K9SVSpJylJttt3bb1bbe7fVhXh//BSvxH8WPCP7BPxW8SfA+S9TxPZ+DrqTTptNj3XES4AmkjHUOsJkYEcgrkcgV7hSSRpKjRSoGVgQysMgj0NZ16brUZU07XTV+11udmV4yOXZnQxcqamqc4ycXtLlknyvydrPyP55P+CGXxg8T+DPiR4z8Gap+0LqPgjwjcaIl9cJB4jt9Pin1FZo44jmYHLeU02QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+0fAn9mD9n39mTw9f8AhT4B/CbR/C2napqb6hf2umW+1ZrllVS53En7qqABwAOAK7qOKOIbYo1UeijFfH4DhTE4adGVXEtqElLls+W6d9Lv9O5+geJHHuB404nxOZ4TC+yjVUYq9uZ2io3lbS7t32S7DqKKK+1PzA/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": "14+5*9=59", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "0a01a53a3e58afa18d094bc2fb0fbeca6b3dfa37db473c374df8a38328cf7a79"}
+{"episode": 86234, "episode_seed": 1493090044, "split": "train", "timestamp": "2025-10-28T03:51:05.924455", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1493090044, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 6, 3, 4])</answer>", "action": "('move', [7, 6, 3, 4])", "reward": 0.0, "image": 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20*6=120", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "44b5180fa42ffa83f537a44256635943e7257320d5c01c86f4bc619ac560d8ff"}
+{"episode": 86235, "episode_seed": 1854804121, "split": "train", "timestamp": "2025-10-28T03:51:05.971523", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1854804121, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 6, 1, 7])</answer>", "action": "('move', [7, 6, 1, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "5+5*1=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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EQ6Rdar4EsoLHSRqiQnUis87HbGcPK8YHGzlQ7Z619o+BrjWrrwfp1z4hRhevaIbjeMMTjqR2JGCR65rwf9jhEb4kaqzICR4E0XBI6fvr2vo2vN4OwFSng44t1W1NNKPRWk/P9Fuz4DOK8ZVnR5VdPfq9Arw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX11em61GVNO101dbq63+RyZXjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzYf8EXvif4n8B/tY3Gnw/Ga88F+H9W8P3P/CS6lbazBYiURKWt1aaYEZ85lwBycntmv0Z+OWg/sk+PvAvjD4veMvi3ZeL/ABFo3hvda+MrnxRb6jq2hNCXksjZPGf9GkF1ho1jAMsrBTvztr7W/ZW+DX7Enwv/AOEq/wCGP/Dvgi1+3a1/xV3/AAiN7Dcbb1N2Iptjv5TJufEXyhdzYUZNeA/8FEv2f/gp8S/jdqHxA8ffDTTNW1nwt8NrSfw9f3cbFrGT7Tqb7lAIUnciMNwOCoIr8yzDh7FZdlPPLEuSTXuq/Lq7XWvz23P2/inxHwPFPiJ/alPD1MLFQiny2VWXKr+9ql7ztG95WgovllblPq/9n3UviHrHwE8Eav8AFy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9QhHkgo3vY/CMRVVfETqqKjzNuy2V3ey8lsgr5q/bM8W6N8NZ9S8W6VaG6v0solj05Ag+1X8riK2hXLKC0kjxqckfezmvoXxV4l07wjoU+v6ox8qBR8q/edicBR7kmvl7w/wCAdS/aW+Pd5NrKSf2b4NtDqskhYKk+uXKulmhBjO5YIPOkbDDDTwHBI4+S4qf11U8vpRUqknzeiinr89l8z0spXsXLETdorT1b/wAj1v8AYj0/wnZfsv8AhS48JzNN9us3u9YupoEjmn1SSV2vmmVGYLL9p85WXc20rtyQor1avn/9keLWvA3xB8V+B5Qv9i6zc/2vYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMKKKK9U5D5N/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+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LXzH/wUo8S6/oI+E1rea3dab4MvfiRGvjC7hISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6cryL9uvwl4a8e/su+IfBXjHRotR0rVb3SrXUbGfOyeF9TtVZDgg4IJ6EGvazmk62VV4p2916ryV/x2PznIMXQwWb0qteHNC7TWjaUk48yvpzRvzRvpzJHl/wCw5408Ya/8Y/jrpvhnVZ9R8M6ZLoy6ZIIY2t4df+xSpf20Uq/fZIotNMiEnY7spwcgfiV+w94//at1D/grp4K8ZXr6zcfEu/8AiiI/Fq3NpuugskzRaoksbDCKlsbkMMARqhxt2jH7x/8ABPD4YfD74OfDXxX8O/hb4Rs9D0Sw8at9k02xQiOMvpunux5JJJZmJJJJJryDwF8Bvg3o/wC3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5Ofi6mElLK8sfO/jiv8AwJ3/APJbWR+w8JeIeTcL1s8orBKpDEUFTg2op3hBwvNarlqX56iTfvJK8viPt6iiiv0c/Bj+f/8A4OUPFnxovP8AgoRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P8AttX82tav4bjPifRtW+IFjGkwfcDDNFwwDRFQykhsMckHNffXxz/ZP/Zw/aYv9A1P49fB7RfFNx4XvDdaDLqtuXNpKShbGCNysY0yjZVtoyDiu/NnaE5NrGT/ALgr4yvwvjK2PrV44pwU3fS9/R6rRbLfQ/YeI/EzLM64FynIqeBUamDTUp6Welvd0b9/46l7e+lvueU/su+ERYnXPHu6UjWltII92PLZIBKQ6cc5M5GckfKMdDXrVAAAwBRX0uW4JZdgYYZSvyrfa+tz8lxNd4mvKo1a4Vm+MdPGreEtU0s2KXIudOniNtJnbKGjYbDjnBzjj1rSorsnHng43tcxi+WSZ43+y74F/sjWtZ8Xtbzw+bp1ppkcMibUCwPO/AIzkGUqeewHXNeyUUVw5XgI5ZgIYZS5uW+u27b/AFN8VXeKryqtWv8A8MFeHf8ABSrxN8YvBv7BvxT8T/AJ75PFll4Tnk0yXTIt9zCuVE0kQ671hMrAj5gVBHIFe40EBgVYAgjkGuuvTdajKmna6aut1db/ACNsrxkcuzOhi5U1UVOcZOMtpcsk+V+TtZ+TP5tf+CLvxd8a+Af2pLrw7b/HPUvBfhfWtFuJfFF1ba9DYxztCjG2LyTZUsJZMDHzEO3YtX62+CE8C/G+51Pwp4a+N0njfUtWs47G/vh4kt9Rura2JkCLmIYjRTJKw3LjLMSSOB9M/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCviKHB2KVCNOrinyp35Uny736v8ATc/TPErxGy/jbimeaYTCeyi4Rir25nZfFKyeuvKtX7sY+ifRRRX3h+SmV418J2fjbw5P4evZmiEuGSZRkxuDkHB6/T0NN8D+ELLwP4ch8P2UzSiMlpJmXBkcnJOB09APQDr1rXorm+qYb619Z5ffty38r3sae2qey9lf3b3t5nJ+H/hJo/h/x1deN4L6R2nLtDbMgCxM5+c57+3pk9e3WUUUYbCYbBwcKMeVNtv1e4Va1StJObu0rBRRRXSZmP8AELSl13wFrWhyacl4l7pVxBJaSZ2zK8bKyHHPIJHHrXnX7L3gx9Kv9f8AGcsU8Z1C3srFUkXC7bZrlsjjOc3DA84+UDgg167RXm18uVbM6WMcv4akrd+bT+vkdMMS4YWdG3xNa+gUUUV6RzHnd/8Asmfs3an+0Bb/ALVGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/4TfxOmmLpMgbXNCbSWvrZSZCjtJlMnKjb5jMOO5JyBXuMEQhgSEHIRAvPsKdRXm4PLo4TGV8RzXdVp27WVvmdNbEutRp07W5b/ADuFfMX/AAUo8S6/oA+E1re63dab4MvfiREnjC7iISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6drD+JXw18B/GLwHqvww+J/hW01vw/rdm1rqulX8e6K4ibqpHUHIBBGCCAQQQDWuZYWeOwNShGXK5K1/66d/I7Mkx2Hy7NKdevDmgrprRu0ouN4305o35o305kj87PDPx80a1/ak+KfhNv2ur3wxoGmpovl2Fp4ssrCBNXa3lS9RS4LSMsUNkHBJ2OWXgggfQ37MOh+EfiB4v0PxH4M8b/8ACRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V798H/gd8I/gB8PbD4UfBrwBp3h7w7pnmfYdKsIcRxF3aRz82SxZ2ZiSSSTXUxxxxLtijVR6KMV8xg+FMRQqUZ1cS5Km1Lls7XXRXenrbY9TOM8wOKxNT6nQ5YOKim7KTUYqPNJK6UpW5pJSdm93u3UUUV9ofLBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+O/wAK/wBmL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP+PP8AwTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/AGvPgf8Atr/Cg/GH4Da7e3Wmwatc6Xqdlq2lTWF9pl/bsFmtbq2nVZIJVypKMAcOp6EV6dXxd/wRt8LeP9Qg/aC/aX8V/DXxJ4P0f4x/HvUfE3g3QPF2kSafqI0wWNlaJcz2smHt3lktpG2OA20KT1FfaNABRRRQB43+2V+3j+zn+wb4X0Dxb+0Tr+p2Vr4l12LSdJXStDuL53uJGVQXEKMIowXQF3IXLqOSQK9kr4Y/4OEfFmpWv/BP+5+Gvhr4WeOvFeteJ/F+gtptj4I8F3usPGtlq9lezvMLWNzCvkwSFWbAZgFHJr7K+GPxA0r4r/DnQ/iboWlatYWXiDSoNQtLLXtKlsb2COWMOqT28wWSCUA4aNwGUgggEUAbtFFFABXgXxK/4KX/ALJvwi/as0L9jn4heKda07xZ4i1G203Tb2bwte/2Q2o3MJmt7BtR8r7MLqSMBli37sEZxmvfa/OP9u7413/xq/4KufCH9lH4p/BX4pW/wr+GHiTSfFy+IfD3wy1PUrHxN4ukOzTYXvYIWhtLGyE5nnlduZMI21Y2agD9HKKKKACiiigDwL9nb/gpZ+yr+1B8fvEX7M3wx13xDF4u8OaY+pvY+IfCN9pialp6XJtWvbKS5iRbu3Ew2ebHlSSMZHNe+1+av7B2leKfiB/wWk+In7Sfwx+Cnxp0DwVrHwomsPiBd/GvR7mH7F4iGriWCw0Z7osVtBEZ3aO2Y22dhXtX6VUAFFFFAEd1dW1jayXt7cJFDDGXllkYBUUDJYk9ABzmvKf2Mf22v2e/2+/hDP8AHT9mbxRc6z4Zg1+80cahc6fJbebcWzKshRZACyfMCrjgg1if8FL/AIf/ALQvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8ABvl4K+Pfw2/Z++Lngf42/srv8KIIfj/4ouvD2htqhuU+zzXWWigJgi8y2hKrHFcqClwgEihRxQB99UUUUAFeNftift0/BX9iHTfC978XdI8X6nc+Mtal0rw5pHgjwhd63fXlzHbSXLqtvaI8hCwxSOSBwFJ7V7LXw7/wXI8EfDTxP8GfCviLxz4J/aAv9Y8PXmq3ngXWP2fLW7fUdL1t9Olt4Gnez/fxRyCZ0DD92fmEhCnBAPszwD4y074ieBtG+IGkadqVnaa5pVvf21prGnSWd3DHNGsipPBKBJDKAwDRuAysCCAQa1q8k/YJT9oSP9ij4Up+1g1wfiUPAWl/8JubwqZ/7S+zJ53m7fl83dnfjjfur1ugAooooA8R+Nn/AAUM/Zi+AX7Q3hn9lvx14j1ifxn4ngguY9O0Lw1eaiml2s9x9mgur+W3jdLGCSfMaySlVLA84Ga9ur8ef+CiPwC/bI8F/wDBY3VPjV+z/pXxhXXPiAPh2nw41fwOLn/hGfKsNReLXbbX2j/crElk8sqJP8p+0MUy/T9hqACiiigAr5r+Bf8AwVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv8AwVN/aJ/a/wDiD4M1fTNL8M6bo/wu+GcusadLb/arG2j/ALR1S6g8xR5kMt7coiyplX+ynBOKAPsOiiigD//Z", "info": {"equation": "5+5*1=10", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "d8e67bc3776277f1abda725d142fbe298fd47c955b87f52d6c881c20b476d410"}
+{"episode": 86236, "episode_seed": 2068493970, "split": "train", "timestamp": "2025-10-28T03:51:06.017191", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2068493970, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 5, 6, 6])</answer>", "action": "('move', [0, 5, 6, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "3+45=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "3+45=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "0912b00a0c98fea5cf818f41c7d4dfb057b4961c3a8c4495d92454053e0043c6"}
+{"episode": 86237, "episode_seed": 3501373928, "split": "train", "timestamp": "2025-10-28T03:51:06.061102", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3501373928, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 4, 0, 4])</answer>", "action": "('move', [3, 4, 0, 4])", "reward": 0.0, "image": 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98o69a+tr0nWoSpp25k1dbq63XofM5TjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wX/BK74t/Ef4aftk+HIvCHxe1HwjpuvStaeLtRtNXjtFk08Ayv5kk3yDDIpBPzZ4HJwf1z1q0/Zo+PfiLRtL+Jfx10/4nz6fcSTaF4e8T+MbTVLdLhoyGmSzXCSyiPeAzK+1WfGMk19O/ss/Az9gX4ZeMfGWqfsieGfANvrd1eLF41PhK/huZreXzJWWGZUkf7N84l/d4QZQ8fIMcp/wUg+Cvwo+OGh/D3wD8WvAdjrujSeMZ53sLsMqGSPSr4o2UKtkEnvX5xieGsXgsnqVHim4pN8qvyvX1+/Tc/aePvEjA8Z8dUcbRw08IowjBysvbbNuVk430lyxXOrx3aTsue/4JEiPTPh58R/Bvw/Z3+F+h/Ee6tvhhJGim1Fo0MUt7FaSrnz7dNQe7RHyw4IDHHH1zXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuMlpunlFCLd/cj+Kv+GyPyLiXHwzTPa+JhGylLru7JLmk+s525pvrJthX86v/Bwn4t+OGu/8FIPEfh74rTaiuiaRYWieAra6i2W66a8KM8sAHDBrjzwz8ktHtJ+QAf0VV5p8f/2Of2X/ANqe+0XU/wBoX4J6H4suPD0jvo82q25ZrfeVLLlSNykopKNlTjpWGf5VVzfA+wpz5XdPXZ+T/P1R9p4Sce4Dw74qeZ4zDutB05Q0tzRbs1KN7K+nK9V7sn6P8yv2Efib8TviF/wTp1X4jfGz4i39xrbeJYPP8SXt+guIbaA6bHbytN0Vo4I4/nf5hsy+Tk1+iv7NHj/W/HmrjVtJ8YnxDok9kT/acd6tzDIUIRXSRCULEqQdvX5uMjjyH41wQQfE34g28MKJGvxF8PqsaqAoH2fQxgD0r7IREjXbGgUDoAMV8rw/lFaWZVZ+3dqVSzX87XV69fnueDxNnNLMcXVxUaEYKu5TUVtBSlzcsdFpG9lttsLRRRX6KfGnxl/wXv8AF3xy8Gf8E2/FeofA2XUYXub+1tPFV1pcW6WHRpC63JJHzIhPlo7DojtnCliPx/8A+CLnxT8XfD/9qe40Oz+M954K8M6voc7eJ7611i3sFlEKMbZWlmBAPnOMKvJ3HtnH9Iet6Xo2t6LeaL4isLa60+8tZIL+1vI1eGaF1Kujq3DKVJBB4IJzXkn7G/we/Yb+F3grVoP2INH8ELod7qgbWbnwbqkV/HJdLGuEkmSSQ7lRlIQt8ofIA3kn5TOMgr5jmdOvTr8llbrdf4dVvfXU/a+E/EvA5D4YZjw9Uy/2s60rqpZcq5kl+8bTfNDlvT317Wu/lLX/AAx+yP8AHzXxqPxa+KuhfFK703R7qO2i8YeLrXVI9Ms2ANzLFEGCQZAXfPtDKET512ivoH/glNr3jPX/ANka1fxHqep3+jWfifVrPwDqOrpie78ORXTpp8m7rInkgKkh5aNUOSCGOB/wUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1cHxHiKc6rm4xV2+t7PXV7bLU+PzLO6NfhClhFzSlKd7StyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8AELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/8Ag5k8W/HHw5+xNoul/DabUYfC+reKFtvHk9hH8pt9m63imccpE8wHoGYIpPIB/RyvIP28vDWg+M/2U/FHhHxTpcd9pmqSafaahZzZ2TwyahbK6HBBwVJHBB5qM4ouvlVaClb3XqvLX8dn5H0XBGe0eGeLsFmlaiqsaVRScX16XV9OZX5ovpJJn4j/APBDD4v+KPBvjzxr4N1b9oG+8D+D5tHS9n+z+IbbTkuNTE0ccXzzAlz5PnfKvGACf4a+9fG/gX9ib4wR+IPH/wAX/iJoHj+8tdCEWp+JPEfiq21G60ewR9yeS4YCzAlO4MgQs7YLHOK9+/4J3/BL4SfAzxN4+8BfCL4f6doGjrBpFx9hsYztMr/bNzsWJZmIVRkk8KB0AFcN/wAFBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn80rZViIcNxxjrycdPc1svet3+ex+k8Scd4DiTxIrZlRpzwsJWXNTt7VqMVrK0oq8mld8ztppK2vu3/BO/xL8XPGH7E/w58S/HSbUpfE134fV7241m3EV5cQ+Y4tpp14xK9uIXbIBLMSQCSK9nrnPg8xb4SeFmY5J8OWJJP/XuldHX6vh4Olh4QbvZJXe7st2fjOZ4uOPzKtiYwUFUnKSjHaPM2+VeSvZeQV/KV8e/in+02f2x9e+K3xY1rV7L4qaf4z+03V1eRiO5sdRt5h5SqhyqCIxxqij5AqKB8oFf1a18BfH39nH4F6/+1p4x+P8Arnwu0u68Z6d8SvDsNh4hnjZp4EWHRVXaC2zIV2AbbkZ4OcV8nxlh5VcPQkpNe+l/4F19VbT1Z+ueDXiFl/AWKzB4rCKv7alZbXTi37rv/wAu583v2u/djozEvfH/AMH/AIo/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wAFFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/8AbX8P6Jrf7I/xG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/BPb4D/AAc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFedDKsRgeJMLCpiJVG1J3d76J6at6PqfL4LiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+Pib48+Mdei/4KN6v4f8Aif4jubLS7P4b2knw0sLyRYbO6EksravNESR506GG0Djkxxc4CnJ8U/Zg/aK0PV7Xx4mo/tu6lpOh2nxN1eHwbbJ410+yjOm7o3LRIVy8X2p7sJIc70CkEjBP6CftDfssfs9ftX+GLPwb+0T8KNK8V6dp179rsbfUkbNvNsKF0dGVlyrEEA4PGQcDHX+HfCXhfwl4fsfCnhjw9Z2GmaZZxWmnWFpbqkVtBGoSONFAwqqoAAHAAr4zE8MYyvmdXEwxLgpdr39HqtF0Puq/EuSzyWFGOGvW5YQldRUIqCtzwesnOpZOd0rPm1lzLl+W/wBn7wx4O+JutaDceCPGI16w07xH/at1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/AGRh5U3Uc3KTk21be3m+3c+RxuL+uVFLlskrWCvA/wDgqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a9OvSdahKmnbmTV1urrdehplOOhlma0MZKmqipTjNwl8MlGSfLLylaz8mfzBf8Ervi38R/hp+2T4ci8IfF7UfCOm69K1p4u1G01eO0WTTwDK/mSTfIMMikE/NngcnB/ZPw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTvwO/Yz/ZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP8A6Uvnofqnih4m5Zx1xLHMcJgvZxjCMLy5eeTV227JrS/LHV6JPS9lxn7PHglvAPwuttHkE4e61C+1CRLkAMjXV1LcFcYGADJgA84xnJrt6KK+3wtBYXDQop3UUl9ysfj9Wo6tWU31bYUUUVuZnzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK+U/+Cn/irxH4duPhDZarrt3pXw+vviEB47v4WWO33x28kumxXUpI8q3e9SEEkhWYIpPIDfVlY3xD+Hvgj4seB9V+GvxJ8MWetaDrdk9pqul38QeK5hcYZWH6gjBBAIIIBrizLCTx2BqUIy5XJWv/AF06PyPXyLH4fLM1p4ivDnguZNaXtKLjzRvpzRvzRvpzJH5x698ddN0P9uvVfBdh+1Hd+FNFh+G0Mnie2sfEtnYwx6sl8VtUZ5AWMxt3uS0eflURsQNy59V8Ean4C+KN9qul+FvjWfHWsahpy2d1cnxJBqV3DbfvFRB5P3EDTSMMr95zyelfVXwL/Zx+Bn7M/gNfhl8B/hjpfhnQlvJLo6fp0J2vPJjfIzMSzsQqjLEnCqOgAHZxwQRHMUKKT1KqBXyEODcVLDKjVxb5esUm4/K8v0PYzTiDLauLTwVC0IxUVKVlOVt5SSuk2+ik7Ky5na7o+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX3aVlY+Rbuwr8nr340alon/BPXxz8Q/in8Vb7S/igLrVJvEtxfTQx6lY+LkuXa3tVgbIQpJBbpDEFx9niRlBUbj+sNeZat+xn+y1rv7QVt+1VrHwP0G4+IVmiLb+KZLYm4UrEYlYjO1nWM7Q5UsAFAI2jHz/EGTV84hSVOpycrv/wfVW09Xqj67hbO8oyqNWGPouacoTXKott0+f8AdvmtaFTn95q7XLF8ktj5C0X4x/DzxH4I0+w+Jv7bk2pNd6VbjX9H1H4jWDW9xI0SmaGRExlC24FQRxxmvqj9l/wabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/n0i/wC/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ4+LzSGIpTpwpKCk76bb32sFFFFfUnkBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUVBqtpLqGmXNhDctC88DxpMnWMspAYe4zmgD54/Z3/wCCrv7EX7Uv7Qmp/sy/Bv4nXd94lsFvmsZLrQrq2sNbWym8m8OnXcqCG9EEh2yeUzbeTyATX0dX4qf8Erf2b/2mbD9on9kL9njxj+zf448KXn7JNl8SI/ih4u1vw/LbaRftqtzMtiunXjfJfi4Eqyt5ZO0A7ulftXQAUUUUAFeG/ts/8FE/2YP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/Bx/wCLdWl/YNi+Cng/4R+P/F3iDxX4u0a80228D+Br7WFhh07VrG6uTcPaxuLf90GKb8eYVYLnBwAfoGrBlDDoRkUtc18Hfibovxm+F+h/FPw5out6bY67p6XVrY+JNFm06/gRuiz206rJC/HKOARXS0AFFFFAFDxV4n0PwT4X1Lxn4nvxa6ZpFhNe6jdMjMIYIkMkj4UEnCqTgAnjgV4f+yB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/wBQi0fSri+ksNKtGnurlYo2kMUMS8ySMF2qg5ZiAOtfnL/wRm+KOsftV/tl/Fj9tb9oz4N/E3wf8WfGegJpuj+GvFHwy1PSdK8K+ErK7AtdPS+uoUivb2WSUXEpU9yEUKjUAfpfRRRQAUUUUAfO/wC2b/wVF/ZM/YJ16y0P9ovVvFNmlxZxXl/qujeCdQ1Gw0e1ln8iOe+ureForRGkBVfMYE7TgV9A6bqVhrOnW+r6XdpPa3UCTW08ZyskbAMrA9wQQa/Mr/g4vsLj45/C6L9m/wAD/Ar9oPXviRFZW9/8Mpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/go34Q/aW+IX7EfxF+H/AOyFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/AMFBf2X/ANvmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wqDwvJ490+Xw9ar4jN9bxtDpltai0tZPs0IvYViiRzeJ8rOzJt3KSf01oAKKKKACvnP4lf8FQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P8A9hTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/ALKX7XHwm/bI+Hk/xI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO//AAcE/s7fGL9pj/gmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf+CG1v+0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//2Q==", "info": {"equation": "63+5=68", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "63+5=68", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "871d4cc7d00b57b55435d5f58f34cb683ad7c6b673ce78fcccb42bf36ef91c8c"}
+{"episode": 86238, "episode_seed": 2019871959, "split": "train", "timestamp": "2025-10-28T03:51:06.099480", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2019871959, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 4, 1, 8])</answer>", "action": "('move', [4, 4, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "9*6=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9*6=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "e5eb630f32abb69a23861d5271e7df66a42f10254752736a221a94d4f7ef7ee5"}
+{"episode": 86239, "episode_seed": 1426316491, "split": "train", "timestamp": "2025-10-28T03:51:06.149309", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1426316491, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 1, 1, 6])</answer>", "action": "('move', [7, 1, 1, 6])", "reward": 0.0, "image": 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", "info": {"equation": "18*7=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "18*7=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "f4893e947d5bdd41e0707a51feb748ed6d003eb46911e9200e2acfa97cfb9779"}
+{"episode": 86240, "episode_seed": 851692424, "split": "train", "timestamp": "2025-10-28T03:51:06.192986", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 851692424, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 4, 1, 6])</answer>", "action": "('move', [0, 4, 1, 6])", "reward": 0.0, "image": 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", 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", "info": {"equation": "58-58=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "58-58=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "4e497c4b517a6f6245f76c17b29c90c3ada36d42ef55e4f2d040d2ea03a39e8d"}
+{"episode": 86241, "episode_seed": 2020894815, "split": "train", "timestamp": "2025-10-28T03:51:06.246958", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2020894815, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 6, 8, 0])</answer>", "action": "('move', [1, 6, 8, 0])", "reward": 0.0, "image": 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", 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", 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HoK9Mr7PLIuGXUYt3tGOvyR+UZ5jIZhnOIxMY8qnOTt6t7+ffzPlj9tjxPrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrafZUjWRyRmRbOS+ZEJ5HmsAdhI+ev2p/iN8e3/wCCEfjrxT8OtV1a4E+talaafqkFsomm8JvrcsSygoOYWsiB5o+9Cd2cHdX1d/wUN+Enw1+N/wANPCnw9+LXg6113RLrxxFJcadeFwjsmn3zIcoykEEA8Gjw94f0OD/gmveeE4NJgj0yP4W6hZx2Ece2JLcWk0YiCjooT5QB0FfN1cJOefYv32uaj919Pwtf5s+yyjiPK8rweW4h4ZTqUK0JSTUeWUac5T0e7c+dRldWXIneV7Q+Dv8Ag1S1j4mS+A/i5oN9Fc/8IbBq+mz6ZI0AEP8AabxSrchXxkt5KWhZc8DYeN3P63186f8ABO/4QfDH4G+HfGXw9+EPgmy8P6LDr9vPHp1grbBJJZwl3JYlmJOOSTwAOgAr6Lr1eGoOGR0Fe+l/vbf4HF4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8F5vEfxY8M/8EyfHl18JZb2OS5eztfEE2nx7pE0qWdUuckcqjKQjkfwO2eCTX5vf8ELPjDqvhn4eePfB3iz9pm/8EeHbfVrS60exg8U2unJNeSxuty4EoLOdkVsD2GB3Jr9p/wBq3TLDW/2ZPiDouq2i3FreeDdSguoHHyyxPbOrqfYqSPxrzj/gnv8AB/4XfBfwb4v+Hnwq8DWGh6JaeK1kt9OsozsV5LC0Z2yxLEknqSew6AV5GdZdWxuf0o06zptweq6Wfqt7/gfQZLx1gMu8K8Zw7PCKdSpXjNTdtF7u+jfMuSy6cs5bW18C/Zr8LfCb4fftjfC69/ZkubOe68Ux6+3jzUdFu4719a0kQTTPfX84ZjK41Q26rOxzvnkjBwSo/QOvjz9jf4I/CT4d/tca98R/BHgDT9M17xWvimXxFqtsjebfsuswEFySQBlicKACeSOBX2HXdwnRdHLJRcm/flv5O36X9WfH8W5lDMsbRcXKXJTjFyn8Um3Kbb1ltzckbybcYp6fCiuL+O/i6Lwr4CuIzcrFJfZgEjNgJHjMjE54AUHntkV2lfM/7St7N8ePH2j/AAU0Jpms9f1IaVezRsF8uwUNNqMmSjgboI2hXI5eVMEZyOrP8VOjgfY0n+8qvkj89G/kv0PDy+kp1+eXww1fyOy/Yk8Gm0+GNz8X9Ts/L1Hx/ejVgXiQSR6cFEenwkqzZAt1SUjPD3EvAyRXs1MgggtYEtbWFI4o0CxxxqAqqBgAAdAB2p9ephMNTweGhQhtFJfcctarKtVc5bsKKKK6DM/ET/g6d8Q/FeT9oP4ceEtTkvV8Dp4Qlu9IQx4tpdUa5kS6O4ffkWEWgwfuq4xjec/ql/wTm1j4m6/+wl8J9X+MUNyniOfwPYHUReQCKU/ugI2dRjDGMITwDk8gHNcP/wAFIvgn8JvjnJ4K8O/F/wAB2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/kjnhLgf8AIs2HQf8ATvHXy+XUHDiTGS5m9Iaeq/S2nqfqfEvGuDzjw3yjIqeGUJ4aVRynprd/Z6+9e877yinr06avw0/4OkfEfxYn/an8B+E9bkvV8FW/go3WgRtHi2fUHuZVvGU/xyBEtAc8qCvTdz+5dfKv/BSv4I/CX433ng7S/i54BsPEFtpWla5f6fBqCsUhuUFmFkwCM4BIwcg55BrXium6mR1Wna1n66rQ5PCfizCcF8bUMzxND2sUpxsrcy5otc0b6X6f4Wz5m+AHj7wD8d/2W/AXhr9pn9qNvEl5q2h6ZLrvgzXfG9mba7ulKPFBLaJtLgOsZ8k8FlAZTyK+n/8Agl5p+neHfD3xP8GeALKK38B6R8SZovB8FnbolpAz2dtLqENsU4aJL97kcZCyGRBjbtXq/wBpXwN4P+IX7DieDPGvh221HStWsfD9tqNlOhCTxPe2QZDtIIBB7EGr37A3gPwb8MPgTL8Pvh74cttI0TSfEuoQadptmpEcEfm5wMkk5JJJJJJJJJJrycsy2vgOIoxqV5VH7Ju77Xtbd6dfU48fxBh8bkWKjGDh7WrdU1b2ULtS546/Hp7Ne6vcb953se11yPx48I/Bfx38INf8KftE2Wi3Hgm7sSPEUfiG4WKyECsH3SyOyhArKrBsjaVBBBArrq/OP/g5t8SfFjRf2FtE0vwPLex+HtU8a28HjJ7RMo0CxSSQJMw5WMzoh9C6oDzgH6vM8VHB5fUrSjzKKenf18u/kebwPkdXiTi7BZbSrexlVqRSns421vHb3tPd1XvW1R95/Bzwd8H/AAf8KvD/AIZ+B2laND4Ps9KhTw4miOktobTbmNonUkSKwO7fk7s7sknNdQqqoCqoAHQAV+Lf/BGr486xD+yK3h74n/tf6r4XtdG8SXFp4X0dvGtpYrFY7I5DtjlBcr58k2CeOoHAr9Wv2afFmseM/Dl3r1xrp1TTrlo5dO1ETiVJw6klo3HyshG0grxzxXh5VxPhcxxFPDQpSi2vLlVlfTy6LRdDr414WxPDXEGNwlWuqrpVJLnu7y13d/ta+8ruzvq9z0uiiivqj4oK/nb/AGOPHX7Uup/8F4tI8R6+mrS+Obz4rXdr4tiuLQGWOw3yRXiMh4SKO0DgY4REXb0Ff0SV8eeEvgn8JdN/4KL3Hx3sfAOnx+MdR8bXlhe+IQjG4ltl0FwI+TtAwiDIAJ2jJr5jiOg6tbByUmv3sVp59flb8T9T8N+NcHwngM4oV8MqrxWHlCLdvdeqs7/YfNeSWrcY6dV9h0UUV9OflgV/P3/wcQeLvjo//BT8WGozaolloui6S/w4jWA7QjRpI8kAA/eMb0TKWwSWjC9FUV/QJXxx/wAFFPgn8Jvif8XdL8Y/EHwFYavqfhTwa934cvLxWZrCc3RPmIAQpOUQ/MDgqCK+Z4tourk7ala0ov11t+t/kfqHhHxjg+COLHmGJw/toypVIW0um0mmr6a8vK/7spb7P6o+FV54v1D4X+G9Q+INu0Ovz6BZya5E8YQpeNAhmUqOFIkLDA4Fb9FFfSxXLFI/M6s1Vqymkldt2Wyv0Xkj+fH/AIL+/En9oDQP+Cq91qt1rmracPC1ho9x8NLmPMX2aERRzefbkdT9t+0Zfruj2nhAB+inwz+KXg/xnF4ag8S/tWy+K9da1glGg3/jezux9va3xIUgiwS67pQAM4BPFfX/AMSP2YvgB8YPiP4W+LvxN+FGka14l8FTmbwtrF7AWm0+Qsr7kIODhlVhuB2sMjB5rt1tbVG3pbRgjoQgr4vEcKYvEYmvP604xqNuyu7p9Hqlpst9D9W4o8R8uz7hrJ8tpYJQngqbhKWnvP3VeNlez5eeV9eeT7XfN/BbwkfA/wALdG8MsZd0FsXYT43hpHaQg4AxguRj2rqKKK+woUlQoxpr7KS+5WPyecnObl3Plf8AbY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX5v8A2evjv4G8VfDDUbTxp+2hdLpMnijXLTTdFvPG9hbW82jrfzx28ZhAB8poAAOQWQg55zX6DfHX9nz4L/tNeAZPhd8evh3p/ifQJLqK5bTdSRigmjJKSKVIZWGSMgjhiOhIPSaN4a8PeHdHtPD+g6Ja2djYW0dtZWlvAqRwQooVI1UDCqqgAAdAK+Wx/DeLxmZVMTDEuCkkrK99Fa2606/Nn1/9v5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta58+/8FLvEOveHP2bre6s9XutP0Ofxtodv411C1wPs+ivfRrcmRz/q4G+RJX42xPISQMkfLll8eNGsf2pPiJ4Tm/a0vPCujWOl6LI1hZ+LLKwhXVXS4W5C+YCzuII7LcM/KSBxmv0W8U+GPD3jbwzqHg3xdo1vqOlatYy2epafdxh4rm3lQpJG6ngqysQR6Guf+CvwB+DX7Ovw+tfhV8Evh1pvhzw/ZSyy22mWER2K8jl3YliWZixPJJPQdABXiZtkOKzHMY4inXdNKNtL336Wa0fXXofUYDPcrwvD08JVoc1a7s7R5bScG5Nv3uaPI4pWs4zeseW0/Jf2P9E8N+IPEUHxB8J+Jf7Y0+00i8t4dWt75LqK8kuLiKSWRpkyJJC8LEkH7zNkdMfRNIiJGuyNAoHYDFLXq5Tl39l4NUOfnd27vS93fz/M+bxeJ+tVvaWttp6BXL+CfhdpXgjXtR1yyu3la+YiONkAECFtxUHvz39APcnqKK6quFw9erCpON5Qu4vtdWZjCrUhCUYvR7hRRRXQZhRRRQB5R+1H4bfXLTR54tJM0iNcW8dxGjM8ZmVF2jHHzbR1HVRXongvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1adFefQwCoZhWxXNd1FFW7cqt+J0VMQ54eFK3w3/EK+Nf2q/GsWkftm61Y/FfxdJpfhyx+EMNz4cW+mSC0KPd3P9rzozEB5UWLTw+c7EZDwH5+yq4T45fsxfAD9pe30W0+PPwo0jxTH4d1RdR0VNVgLi1uAMbhgjIIxlDlWwMg4FY53l1TNcvlh4S5W2n5aPZ/1uerw9mGAy/HSljYt05RcW4pOcdU048zSvdcr1XuuR8Ifsw/G3w944+BXgNvip+2Fd6tq15pVjLd+HtX8a2KrNcBlaBHtkCsHDCJhGMEOACOor7w/Z28JN4T+HIWQTB9R1G5v3SYYKmV84AwOMAEZ9a7b7Jahtwto8567BUlcOVZBVy/GPEVcQ6j5eXVbK6e7b7EZrm1LMZzdOiqUZScrR2V76LRaK9vRBXP/FT4V/Dv43fD7VPhV8WfCNnr3h3WrcQ6ppN+haK4QMGAOCCCGVWBBBBUEEEV0FFfRyjGcXGSumeTRrVcPVjVpScZRaaadmmtU01qmnqmtjB+HXwv+Hvwl8DaV8NPht4QsdH0HRLJLTStMs4QI7eFRwozkn1JJJJJJJJJrdVVUBVUADoAKWiiMYxSSVkhVatSvUlUqScpSbbbd229W23u31YUUUUyArxfS/h+br9p062dMkthYanNqjNCp2TM9m9qGYnOcrJ2xynsRXtFFefjsAsdOjJyt7Oan62vodFDEOgppK/MmvvCiiivQOcK8W/aY+Hg8c+LtO0waZIDqunHT2vbdT5mwyEsuTlRtB3DI7kngV7TRXn5ngFmWEdBy5VdO/o0zowuIeGq+0Svv+KCiiivQOcKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvH/ANs39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/wAJvGfwG/YW+DnwT+IsezX/AAn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/jP8S7+4ttB8N6bJfanNaWMtzKIkGSI4olZ5HJwFVQSSQBXTVyHx++IGlfCv4J+KfiHreia1qVrpOiXE89h4c0abUb6cBCNsFtArSTOc8IoJNAEX7O3x8+HP7UnwO8L/tD/CK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/AMEKde1K9/4Ja/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/BQr9mP9tfxH4t8HfAzxFrD6t4Kltv7b0vxB4bvNLuPs9yHNteRR3UaNNbTCOQxzKCrbTjtn26vgL/gkP8WdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/AGx7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/wAF0fg74p+F3wf+Lkd74Bt9asviHrXiXSrj/hDI9Cm0hzBd6bLIWtxeyXcsMJeDbMVjkSQbVFfoTQAUUUUAeWftYftl/AL9irwn4d8ZftAeKpdMtPFfjGw8L6CltZvcS3epXjlYYlRATj5WZm6KqkmvU6/L7/g4P+CX7bHxJ8TeAviB8C/2Xl+JvhTwnLozWcNp4mFrdaVrknifS5XuPsqwSyXCtbWiW5mG1baK5uZW3KrLX6d6dNe3GnwT6jZrb3Dwq09usu8ROQCyhsDdg5GcDOKAJqKKKAPNP2sP2rvhX+xp8KB8Yvi9ba9cabJrVlpNrZeGNAn1S/u7y7mEMEMNtbq0kru7BQFBPNdT8JPiXo/xk+GmifFPw/omt6bZa7p6XdtYeJNGm06/gRhwk9tOqyQOO6OARXhX/BWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P+CUy/tJp/wTv+E6/teNrJ+IX/AAjC/wBvHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/wBbudIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/wAWfg/8PiP7e8VfDTXdI0TL7Qbu50+eGEZPT53Xmvj/AP4N6PDX7Q/hH4LeN/D3xN034s2PguxuPD1p4K074yrOuqWt9FodrHrccC3H7xLBdQV1gUfugqt5fyYoA/Q2iiigAr58+Ef/AAUu/Z5+Mn7WWqfsWaJ4a+IOkeONMsdRvvK8U/D7UNMs721srlLae4trm4jWO4i8yRAskZKuGBBORX0HXyh+zn4H8Z/Eb/gqh8fP2m/GnhPVLDSfCfhfw/8ADf4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/gph+yR+z9+1D4Z/ZB+JfjPU7bxj4ofT0tVtfD91cWNk9/PJb2CXd3GhitWuZopI4hIwLspAr32vyg/wCCkfwb+OPir/gs18P/ABv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//2Q==", "info": {"equation": "306/18=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "306/18=17", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "19261ea2ba126d81ec5714ef4e5d51626e0a9522c1d0baea04523c51b7ac12f2"}
+{"episode": 86242, "episode_seed": 1071236567, "split": "train", "timestamp": "2025-10-28T03:51:06.295491", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1071236567, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 5, 4, 0])</answer>", "action": "('move', [0, 5, 4, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "35+27=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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k3L2Wnq215mN4GkYsSzMQqjJJ4UAcCvp6vX4VhyZFR1ve7/F6H55xdmFLMc7lUp8zUYxjzStzz5Ypc0rNq77XdkkuZ2uyv5efG3xZ/acsP+CmGofE3xx4p1bSPiXB8SnjvtQuSkFxYyef9nKjzPkiRIfkXPyLGBj5QDX9Q1eQRfBz9iUftezfFSHw/wCCT8a20b99OL6E6z9i8sReaYN+4L5eI/N2Z2fLuwcUZ/lFXNY0lCrycsr/APBXmunz1PtPCrj/AAfAqzL2+C+sfWKLitE+W19JX/5dSv7/APhjoz5Y8RH9mz47axpnhr4kftB2XxLjtL5rjR/DXibxpZ6lbG5EbqJharhZpFjaTBZW2hmIAPI9t/4JS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wUU+Dnwu+NPw68HfD/wCKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/wDYg8P6H4T/AGZtA8LeGNJgsNN0281S1sLG1jCR28MepXSJGoHQBQAPpXkZRl9bA8SThUrOo1Tvd9btKz1ex81ic5o1eEfqq5ryqK0Xbkgopvmjrfnk20/dikr6ycvd9Yrw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX2dem61GVNO101dbq63+R8vleMjl2Z0MXKmqipzjJxltLlknyvydrPyZ/NL/wRv8AH3xM0j9svw/4C8O+J7yHw5r96Z/FGmpOPJvDb29w1s7q33mSV8qV+Ybm/h3V+yf7M3xB1T/hLtb8EeEfiG97qFp44vZrnw6mppIbFJLggBoV+aKNxl/m4JZmB9Oq+J/7KP7OX7MPgWJvgB8H9G8KHxH8QdPu9bOk25T7VKBNtJyThV3vtQYVdzYAya9H/Y6jQfCi8kCDcfF2s5bHJ/06avzbCcO4mjm8cI67TUOa8b7c/wAK1Xr69D9W8TOPsv44zqecYXC+zg1GFpW5m4x+KVrq+vKtfhjHXoerUUUV+nH42fml/wAHPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/AMERvjv4i0/4DeJPBXxD/aw1XwjoOi61EnhTSh4wtbCNfNWSW68tJgWK72jY4+UM7Y5LV+s/7engnwp8SP2ZNW8BeOtBh1TRtW1vRLfUtPuc+XcRNq1plW2kHH0INYn/AAT4+Gfw/wDhZ8KPEHw/+HfhCx0fRdM8Yzx2GnWcWI4VNpaMcZySSzMSSSSSSTXwuaZZXxnE3JTrypuVO910s7W3Wj39T9lwniDl1DwgfDUsEpVPb83Ppa1+bm2v7T/l3tb2fXoc1+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr6TJ8r/snCui5ubcnJtq2rt5vt3PyXGYr63VU+W1lawUUUV6xyHyb/wAFvvE/xi8Jf8E0fiNqvwUlv4tQa1t4NWn02PdLFpck6JeNkcqvklwzDlULHgAkfn5/wav618Vo/jz8TPDumwXTeB5fCcFxrEgtgYU1RblFtAZOquYXvMKPvBST90V+wP7SEENz+zv49triMPHJ4L1RXRhwwNpKCDXhf/BOP4F/CD4AeJ/G3hH4MfD7T/Dum3OjaHd3NrYK2JZ2k1JTIzOzMxwqjk8AcV8nmGHk+KsJPmesZaf4U3+N9T9e4f47wOV+FOZ8OzwilUr1IyVTSyT5fi63hy3hbrJ7W1+qKKKK+sPyE8f1T4N/sSXn7Xtl8U9X8PeCG+NSaPmxnmvoRrJsxG8Xmrbl9zKI/MTzdhIUFd2BgeuLa2qMGS2jBHQhBX8xf7SPxj/ap0H/AIKheKfid4g8X61o3xJ074izwWt+8i289kiymCCNN3yJELcoig/IYzzlSSf2c8E/HTwmfE0dhoP7Z114hu7wNb2+k3Hj2zuvOZv7kcYDl+ONpz1r4WHGWDoSqxlQafM9ra+ctrPvuftHiL4aZhwtQyydXHrEKtRTV23yWs+WGr/d+97j0v72iPtyisX4eXOt3ngnTbrxEH+2PbgzGQYY8nBYHoSME+9bVfa0Kqr0I1ErcyTs91dX1PxqpD2c3Hs7Hkv7eXiD4ueFf2Mvib4k+A4vP+EvsvBl9NoLadD5lwk4iJ3RL3dRuK4BOQMAnAr+fz/gjz8UfGHgj9s23+z/ABjvfCGka1o97H4r1eHWYbMywrE0savNOCBm5WHp8xJ9Ca/pdr4h/wCCb/7P/wAFfhH8V9O8RfDb4a6Zo9/4m+HV1d6/d20bGS9m+0aa25y5OPmkc4GBljxXyHEuCqYvNcJGFVwcuZJrpZXutVq9j9f4F4+wHDfAmc5RWwaqzxKjyydrK65fevr7nxwte077bnmHxe8O/sd/FHw14n+JfxR+L+neNdT0fwuw/wCEo1TxZb6hf6BbxuZIpLNkYfZZBcFWRkAd5NiktkLX3b+yfq/xP8QfswfDvXfjXBcx+MLzwVpk3iiO9thDMt+1rGZxJGAAj+YWyoAwcivmX/gpH+z/APBT4sfFa48U/En4aaZrWoeF/hpJdaBcXsbH7FN51029VBCsd0aH5gR8o4r7VsSWsoWYkkxLkn6U+G8HUwea4unOo5uPKm31um7vV6rY+QzvOKWL4cwmGXM3eUvetaml7qhT1btLSU9I6qKUfdu5a/Or/g5h8T/GLQP2ENM074eTX8Xh/VfGFvbeN5bKPKm08t3hSZhysbXCxexYIp6gH9Fa8i/br8JeG/Hn7LviHwV4x0eLUNK1W80q11GxnzsnhfU7VXQ4IOCCRwQa+hzmk62VV4J291/gr/jscvBGeUeG+LsFmdakqsaVSMnF9VfpfTmW8f7yR+QX/BDr45+J9I+FHjDwL47/AGqNU8HeGdJ1S2fwxpq+LbWwi86YTNdlFmBYjIhYgfKCxI5Zq/TH9mHQ/CPxA8X6H4j8GeN/+EitNH1i51G61u21SK9+03TQTxP50yZUuftBJAweB2rp/wDgnp8Kfhv8Ifht4r+Hvwy8F2Gi6Jp/jVvsenWcWEj36bp7scsSSSzMSSScmvoCOOOJdsUaqPRRivk8m4erV6GGxU8TJxXLNQtorapL3tPu2Pd8QOL8LxJxXjsfh8MqUa0nZaXtZRvKy+KVuaWr95vV7jqKKK++Pzk/n/8A+DlDxZ8aLz/goRH4e8aXGoReGdI8MWUngON0KQCORFa6miI4Zzcq6s33v3SDoq19h/ss/tBWvxB/Za8Hah+0P+21fza1q/huM+J9G1b4gWMaTB9wMM0XDANEVDKSGwxyQc199fHP9k/9nD9pi/0DU/j18HtF8U3Hhe8N1oMuq25c2kpKFsYI3KxjTKNlW2jIOK782doTk2sZP+4K+Mr8L4ytj61eOKcFN30vf0eq0Wy30P2HiPxMyzOuBcpyKngVGpg01Kelnpb3dG/f+Ope3vpb7nlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc/JcTXeJryqNWuFfy/eK/jR+1XoP/AAUy1P4o+KvG2t6D8TV+IkttqWpPMtrcWZaY2zxZf5I4lgPlgH92IwB92v6ga88T9k79m+P9oCT9qlPg5oo+Ictl9kk8V/Zz9qaLyxFjOdu7ywI9+N2z5c44rzs+yevm8aSp1OTklfr96t1XT1ep+oeF3iJl3AKzFYrBqv8AWaLhHbR6+7K//Lud/ftd+7HRny1oXxJ+GPivxXY6fH+1e/jK7juXfSNI1DxxaXv74xunmRxR4ZpBG8i98K7cdx9c/Ajwc3gP4V6Z4dfzg2+5unWcAOrXFxJcFSABjBlIA6gDnmurW1tUYMltGCOhCCpKjKciqZbi5YirXdSUly6rpe+7bPznF4+OJoqnGCik76f8Mgooor6I844H9o7RV1n4eoz6WtyLPUoboMQSYCm7Egx6Zxzxgmpv2d/B7eDPhlDZOJg97qF5fyJOMMpnneXGMDA+bjPOK7jr1orzY5clmzx3Nq4clvne9zpeJbwioW63v8rBRRRXpHMfLn/BRvxP4i0Pxp8GNM1HWrrT/BN/42uR4juIyqW8t/HZvJpcFzISNkbXALKMgPNHCvJKq3zf4B+P2hL+0R8W/Dr/ALYN74c0DTdW0tNPsbXxfY2MC6gbIC/SPeC0m0pbhiSdshdOCrAfon8VPhV8Ovjf8PtU+FXxZ8IWWveHdagEOp6TqEe6K4QMGGcYIIZVYEEEFQQQQDUPwp+Dfwt+B3w+034VfCXwNp+g+HtHiaPTdKsIcRQKzs7YzkklmZiSSSWJJJNfJ5lw7i8dmjxVPEOmnFLS915LVaPfffofZ4fiDKKPDqws8PzV0uS9o8vL7T2ntL/F7T/l3a1uT7X2Tyz9lT4h6l461C3uPD/xHk8WaNHZNDPq39qJeI7R8AmWP5DJu4OME85HHHvNIkccS7Y0Cj0UYpa9rKsBUy3C+ynVdR3bu/P5v89z5XF4iOJq88YqOlrIKKKK9I5jH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v8A9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmPKP26de+KXhf9jv4k+Ifgq9+niiz8I3kukS6VB5t1E4jO6SFMHdKqbmUAE7gMAnAr4d8ffGbwJ4L+J3wP8PfC39pF/Dmk32i6kt7e6X4itIfP0FbBDDLLPLu25u4bVVIOXYSjna2P05rzr4Kfskfs1fs5ax4h8QfA74M6H4ZvPFd4LrxBPplttN5IGdlzkkKoaRyEXCjccAV81nWR4nNMXSq0qzhyJrrdX6qzWvR6rQ+wyTPcqy/KatDE0Oep77hpG0nOCh77eqVO3PCyl7117t+ZfMXg+XwF8aLrVfCvh346SeOdV1bTPsFzcHxPb6jdWtq+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+587jcasWopQ5VG+3n9wV8xf8ABSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANd+ZYWeOwNShGXK5K1/66d/I3yTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Xfsq/Ee/8c6raN4a+KEni/SILeSC71X+1o71WKAkb5YvkMgZgOxweelerfB/4HfCP4AfD2w+FHwa8Aad4e8O6Z5n2HSrCHEcRd2kc/NksWdmYkkkk11McccS7Yo1UeijFfN4DhjGYWpSnPFyag0+VXtp0XvbdNtuh6Wc51l+MxNT6rQ5YNKKbspPlio80krpSlbmaUnaT+J7t1FFFfYnzAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFch8fPjv8ACv8AZi+DfiH4+/G3xVFonhXwtpzXus6lKjP5UYIACqoLO7MVRUUEszKACTXX18m/8Fvfgr8T/jz/AME2fHHg74PeErzxDrmn6noWvReHdOj33GqQabrFnfT20SfxyNDbybU6swVRyaAPZP2S/wBrz4H/ALa/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8EbfC3j/UIP2gv2l/Ffw18SeD9H+Mfx71HxN4N0DxdpEmn6iNMFjZWiXM9rJh7d5ZLaRtjgNtCk9RX2jQAUUUUAeN/tlft4/s5/sG+F9A8W/tE6/qdla+Jddi0nSV0rQ7i+d7iRlUFxCjCKMF0BdyFy6jkkCvZK+GP+DhHxZqVr/wT/ufhr4a+FnjrxXrXifxfoLabY+CPBd7rDxrZavZXs7zC1jcwr5MEhVmwGYBRya+yvhj8QNK+K/w50P4m6FpWrWFl4g0qDULSy17SpbG9gjljDqk9vMFkglAOGjcBlIIIBFAG7RRRQAV4F8Sv+Cl/wCyb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/8av+Crnwh/ZR+KfwV+KVv8K/hh4k0nxcviHw98MtT1Kx8TeLpDs02F72CFobSxshOZ55XbmTCNtWNmoA/RyiiigAooooA8C/Z2/4KWfsq/tQfH7xF+zN8Mdd8QxeLvDmmPqb2PiHwjfaYmpaelybVr2ykuYkW7txMNnmx5UkjGRzXvtfmr+wdpXin4gf8FpPiJ+0n8Mfgp8adA8Fax8KJrD4gXfxr0e5h+xeIhq4lgsNGe6LFbQRGd2jtmNtnYV7V+lVABRRRQBHdXVtY2sl7e3CRQwxl5ZZGAVFAyWJPQAc5ryn9jH9tr9nv9vv4Qz/AB0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/wCH/wC0L8WP2HfiB8Lv2XNEh1Lxh4j0yLTbfT5tcTTDc2U1zFHfxJdurLbyNZtcqkhVtrMp2kjFfPX/AAb5eCvj38Nv2fvi54H+Nv7K7/CiCH4/+KLrw9obaoblPs811looCYIvMtoSqxxXKgpcIBIoUcUAffVFFFABXjX7Yn7dPwV/Yh03wve/F3SPF+p3PjLWpdK8OaR4I8IXet315cx20ly6rb2iPIQsMUjkgcBSe1ey18O/8FyPBHw08T/Bnwr4i8c+Cf2gL/WPD15qt54F1j9ny1u31HS9bfTpbeBp3s/38UcgmdAw/dn5hIQpwQD7M8A+MtO+IngbRviBpGnalZ2muaVb39taaxp0lndwxzRrIqTwSgSQygMA0bgMrAggEGtavJP2CU/aEj/Yo+FKftYNcH4lDwFpf/Cbm8Kmf+0vsyed5u35fN3Z34437q9boAKKKKAPEfjZ/wAFDP2YvgF+0N4Z/Zb8deI9Yn8Z+J4ILmPTtC8NXmoppdrPcfZoLq/lt43SxgknzGskpVSwPOBmvbq/Hn/goj8Av2yPBf8AwWN1T41fs/6V8YV1z4gD4dp8ONX8Di5/4RnyrDUXi12219o/3KxJZPLKiT/KftDFMv0/YagAooooAK+a/gX/AMFVP2aPj9+0837IPhzwt8SdD8bnSb3U7ey8afDbUtHhurO0lWKaeKW6iRZI97qAy5BLDB5r6Ur48/ZN8BeOfir/AMFTf2if2v8A4g+DNX0zS/DOm6P8LvhnLrGnS2/2qxto/wC0dUuoPMUeZDLe3KIsqZV/spwTigD7DooooA//2Q==", "info": {"equation": "35+27=62", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "965a110677661a04f7855ef2f116beec92c47eb168c932195fadce288877afb7"}
+{"episode": 86243, "episode_seed": 3500092462, "split": "train", "timestamp": "2025-10-28T03:51:06.353914", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3500092462, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 6, 2, 8])</answer>", "action": "('move', [7, 6, 2, 8])", "reward": 0.0, "image": 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7CfG8NI7SEHAGMFyMe1dRRRX3tCkqFGNNfZSX3Kx+QTk5zcu58sftseJ9Z0v9qb4WaN4h1yex8LS+H9eubJZHWO0udbT7KkayOSMyLZyXzIhPI81gDsJHz1+1P8Rvj2//AAQj8deKfh1qurXAn1rUrTT9UgtlE03hN9bliWUFBzC1kQPNH3oTuzg7q+rv+Chvwk+Gvxv+GnhT4e/Frwda67ol144ikuNOvC4R2TT75kOUZSCCAeDR4e8P6HB/wTXvPCcGkwR6ZH8LdQs47COPbEluLSaMRBR0UJ8oA6CvkquEnPPsX77XNR+6+n4Wv82fouUcR5XleDy3EPDKdShWhKSajyyjTnKej3bnzqMrqy5E7yvaHwd/wapax8TJfAfxc0G+iuf+ENg1fTZ9MkaACH+03ilW5CvjJbyUtCy54Gw8buf1vr50/wCCd/wg+GPwN8O+Mvh78IfBNl4f0WHX7eePTrBW2CSSzhLuSxLMScckngAdABX0XXq8NQcMjoK99L/e2/wOLxL4iw3FnHGMzWhS9lCpJWjpf3Yxjd205pW5pWvq3q9wrw/9s/4l3/hfwumheHbUXWpOYxYWWV/0m+nkFvZwfMyj5ppFBBI4IOa9o1XU7PRdNn1bUJdkFtE0kreigZP1NfOvgqwvPjl+1fb65qNq50rwjAdcuBJt2teziS2sIsFDu8uJbqQkMpVxCec8ZZ/UeIVPLoP3qr18oLWT/C33ny+XxVNyxMtoLT1ex7V8Ffhjpvwa+Feh/DTTJhMNKsVS5u/KCG7uWJee4YAnDyytJI3J+ZzXUUUV9BCEacFGKsloec25O7CiiiqEfzt/t2+Ov2pX/wCC6WoatbJqsnjLSPihp9r4EtTaBmFkk0f2BIoz8rRvEyt6N5js3LNX9ElfHXx8+Cfwl8Rft4ad8bdd8A2F34s0PWPCtpo+uzKxmtIXvBuVOdoz5j84z8xwa+xa+Y4eoOjisZeTf7zr6X+/X8D9T8R+NcHxbluT0KGGVF4XDqnJq3vPRaW+wuW8U9U5S9WV/OB+3b8UP2idH/4LT+J/F/iDxPqmkeJtH+JyWnh2+lKQPY6Wsojs2iL/ACJGbR0cMeCJC55Ymv6P68q1/wCEv7HuoftX6P8AE/xJoPg5/jHbaA8eiz3N5ENXOn/vUZ44C+50AaZPM2HALLuwMV1Z9ldTNaFOEKnJyyTv/l5roT4W8cYTgfG46tXwf1hVsPOmlZOzdn71/wDl27Wn5WetrHyD490z9kf47u6/Gn45aV8SLbSNMvngtvFPjS01CLTLZ4x9puo40KiNhGozORujAJVlySfrb9gnXviH4n/Y0+HGv/FS61G41y68LW73N1q8Iju7iPB8mWZeMSvD5btkA7mJIByK85/4KP8AwL+D/wAb5PBfh74t/DzTtfsbFdVvrS0vo22JcJFAFfCkbsBmGDkHPINe+/BX/kjnhLgf8izYdB/07x15eQ4Grgs6xMKlVzajC7fW+vd7Wsj57M83pYjhihhVzN87lZ25aajdWp6v43LmnpFXjH4t101eV/tR/Cj9j/4o2XheL9rnRPB93BY+I4n8J/8ACW3sUCnUmB2RwmR1813A/wBV8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufazzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/APhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oir84/+Dm3xJ8WNF/YW0TS/A8t7H4e1TxrbweMntEyjQLFJJAkzDlYzOiH0LqgPOAf0crkfjx4R+C/jv4Qa/4U/aJstFuPBN3YkeIo/ENwsVkIFYPulkdlCBWVWDZG0qCCCBXp5nhZY3L6lCMuVyTV/wDPy7+R6HA+e0uGeLsFmlWj7WNGpGThu3093+8r3j/eSPyD/wCCO3xv1G5/Y6n8IfFn9r7V/DFjpniC6sPDejDxzbaeItPMcbsEV/3gXzpJ8NkY5C4CjH2F+wd4K+Ffwu/bQbwv+zHoml2HhnUfhGLnxhb+HIons2livIF0eeWVCT50kMmo7WJzKiFyWxur65+FfhD4Q+Dfg5ovhz4G6Xo0HhCy0WNfDaaI6S2n2TZmNonUsJFYHdvyd2d2TnNfOH/BL/4I/CT4JX2s2nwm8A2Ggx634O0PUNXFirZurlmugZHLEkn0HQZOAMmvjaGTYjLs3wSqYhzvzW3suWOy1ej26aH1ue8ZYXOsbnONhRlSWIlpSVuVuUmuapqvfh8atGX7x3vG2v19Xh//AAUr8R/Fjwl+wT8VvEnwPe9TxPZ+Drp9Ol02PdcRLgCaSMdQ6wmRgRyCuRyBXuFUfExYeG9QK9RYy4/74Nfd16bq0JQTtdNX7XW5+b5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+e3/ghh8Vdb8E/FPxt4a1H4+Xvgfwxe+H4rq8ktvEFtpy3V9HOqQAvMCWIjkuflX3J6Cvv7S/DHwW0v49/C74u/AjXLHxB8Q9Y+LttFdeKrLUINU1LVrWaPy9XS4nBJaGPTwWIGFhEcO0Lu+b2v/gmL8C/g98Ehr+i/Cb4d6boVrqfhbw/f6hFZRsftFy/20NIxckk4AGM4HYCqPhD4IfCLSv+Citx8dNO+H2nReMNQ8bXlheeIFRvPktl0FwI+TtUYRBkAE7Rk1+XYLLK6wmCxDry5ZVIpR6R956rXy7dT9n4t8QMv4g41x+aUaMqUJUrcqtepaEY2q2aXK/tfFolG2vMvsWiiiv1Y/CT83/gD8TfHdy/wWZPFt/c/EfVvi9OnjTTZo4muzPvvRrcNxCeYYreKR8YA8tVtsffTd8N/wDBxB4u+Oj/APBT8WGozaolloui6S/w4jWA7QjRpI8kAA/eMb0TKWwSWjC9FUV+n3w5+CPwm0T/AIKD3Xxy0vwDYQeL9X8aarZal4gVWNxPbrpcoWM5JCjEcf3QM7RnNJ/wUU+Cfwm+J/xd0vxj8QfAVhq+p+FPBr3fhy8vFZmsJzdE+YgBCk5RD8wOCoIr8xqYOceH8RH2j92v99mo/je/qkfvvCPiDkfDHG8MzjgueE6FRONopxnUfPaPTkjb2aejcJSfKr8h9UfCq88X6h8L/DeofEG3aHX59As5NcieMIUvGgQzKVHCkSFhgcCt+iiv02K5YpH4NVmqtWU0krtuy2V+i8kfnl+2P8T5/DHj/wDaWv8A4k/EG70a80bw3ZDwh57xRtbaYdKDWs9mj8Sl9TkvE3YO6VFj5wFroPgp8ebO+ttDhuP2xbzXvEGoaTDHdaJP45s7kyXTRK0qpDEAxcMGwFPGDX1j8Sf2Yf2f/jB8R/C3xe+J3wn0jWvEvgqczeFtYvYC02nyFlfchBwcMqsu4HawyMHmu4W1tUbeltGCOhCCvjK3C2NrYutVjinBTk3ZX2fR6rbZeR9hj+IsprYDD06OH/eRjFTbUUk4wjBKLV21Llc5NpPmlaztzSpeEJtWuPCunT66hW8ezjNwGGDu2jOR2Pr71o0UV9jSg6dOMG72SV318z42UuaTdrXPlf8AbY8Uazpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc64n2VY0kckZkWzkvmRO481gDsJX5v8A2evjv4G8VfDDUbTxp+2hdLpMnijXLTTdFvPG9hbW82jrfzx28ZhAB8poAAOQWQg55zX6DfHX9nz4L/tNeAZPhd8evh3p/ifQJLqK5bTdSRigmjJKSKVIZWGSMgjhiOhIPSaN4a8PeHdHtPD+g6Ja2djYW0dtZWlvAqRwQooVI1UDCqqgAAdAK+Ux/DeLxmZVMTDEuCkkrK99Fa2606/Nn1/9v5VHIKOFWHvWi7NtR5bJzkmnq3KXOlJNKygmnLmtDz79mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufKYis8RXlUta5U17RrTxDot1od9nyrqBo3K9RkdR7jrWd8PvA9p4A8PjQ7a7a4ZpWlmnZNu9jgdOcDAA/CtyitJYXDyxKxDj76TSfkyVVqKm6aej1sFFFFdBmFFFFAHi3xG+Hx8R/tB6dKNMkiEl5pt7JdQKf3os5VmUsTkYDLtOMcMO5Br2miivPwOAWCqVpqV/aScvS6Wh0V8Q68YK1uVWCv5xf24/i7+0r4Z/4LVeKfGmp+MtY0LxRpPxJFh4f1DzVtpLPSDIIbXyy3yJE1nIp3H5WWVmb7zV/R1XB6t+zB+z9rvx30/8Aad1j4TaPcePtL002Fh4okt83MNuRIpQHOM7ZZF3EbgrEZxxXHnuU1s2o04U6nI4yTv8A11XQ/RvDHjzAcB4zG1sVhVXVehOklpo3ZpO/2JWtNLW1tHax8seFvGPw9+IPikaPo37SkvjrVHtZodPsLjxhbajLCj4EjRRQgNkgLk4PAFfaHgvQU8K+DtJ8Lxu7LpumQWqtIQWIjjVMnHGeO1aCW1vG26O3RT6qgFPqcnyWpldWpUqVnUlO2r8r+bvufAYzGxxUIxjBRUb7efyQVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXtzhCpFxmk12epz4XFYrBV1Xw9RwmtpRbi100as1poR/ZLUNuFtHnPXYKkooqzAK/OP/AIObfEnxY0X9hbRNL8Dy3sfh7VPGtvB4ye0TKNAsUkkCTMOVjM6IfQuqA84B/Ryuf+Knwr+Hfxu+H2qfCr4s+EbPXvDutW4h1TSb9C0VwgYMAcEEEMqsCCCCoIIIrhzLCTx2AqUIy5XJWv8A106PyPqOCs/w/C3FmDzavS9rCjNScdNUuqvpzLeN/tJH48/8EbPjxq6fshv4b+KP7X+q+F7XR/EdxZ+GNHbxraWKxWHlxyHZHKC+3z5JsE8dQOAK/Tn9kDwvokcV7458N3Cy6bdaPY2GmS20qyW8tvEZXRo3Gd4xKPmBIIxXp/w6+F/w9+EvgbSvhp8NvCFjo+g6JZJaaVplnCBHbwqOFGck+pJJJJJJJJNbqqqgKqgAdABXg5Zw1XwWLpV6uIc+RO0bOyuraXb0+XRHbxlxVhuJs9xuOw+HVKNeo5WVr2vfWy+J7y82xa8c/wCCg2uePfDf7F3xE1v4a3mo22qweHnJu9Hh8y7trUugupoR/wA9EtjM6kZIKgjkCvY6SSOOWNopUDKwIZWGQQexr6evTdahKmna6av2utz5fLsVDAZhRxMoKapzjJxe0lFp2e+jtZ6M/NfWvjf4M8O/tQaT4R8I/tRv4V8OyfC0XN+ukeKrO1t5SLuL+zG82TcXLQS3jKoOCm1+hBP0L+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDn2f4Efsvfs+fsx+Hr/wAKfAL4S6P4W07U9SfUL+10u32rNcMqqXO4k/dVQFHyqBwBXdxxRxDbFGqj0UYr4/AcKYnDToyq4ltQkpcqT5bp30u/xt3PezrO8txFVwwNJqHLyqUklOXeUlG6vd2S5nZJK7sOooor7U+UPyquPjfq2gfCH4X6x4o+Ol/4c8e6r8WpIfGd3LqVtaXsF4Z7sazBN5uRbxwxu6jAGxRbgffXd7z4Am8CfGrWrrwtoHx6m8c6lqFslrcTN4ot9RubO2L4O0RDEaZYklhjPevp/wAPfsu/s9+FPjhrX7Sfh34SaNaeOvEVktprXiaK3/0m7hAjG1jnAz5MWSAC2xck4ruo7eCI7ooUU+qqBXwtPg/FWcamKfK5Xsk7PW93ru/R69z7fPOJcrxtdVMFh+W/M22opqU224x5b+5D4Y7Nq7tG/Kn0UUV90fEBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV4/+2b+3V+zl+wR8PtP+JP7R3ii+sbHVtUNhplrpGjXGoXdzKsMk8rJBbo0hSKCGWaR8bUSNmJFewV8D/8ABbjw58S9A8RfBv8AaP8AB/wW8V+PdI8Hr410bXND8F6JJqV8k2t+GbvT7Kb7PHljF9pKRO/SNZ9x4BoA+6fCvijw9448L6b418I6xBqOk6xYQ3ul6havuiubeVBJHKh7qyMrA+hq/XkX/BP/AOE3jP4DfsLfBz4J/EWPZr/hP4YaFpOtxbw3lXdvYQxSx5HBCurLnvtr12gArmfjN8XvA3wC+FWv/Gf4l39xbaD4b02S+1Oa0sZbmURIMkRxRKzyOTgKqgkkgCumrkPj98QNK+FfwT8U/EPW9E1rUrXSdEuJ57Dw5o02o304CEbYLaBWkmc54RQSaAIv2dvj58Of2pPgd4X/AGh/hFfXVz4Z8X6RFqWiT3tm9vK8En3S8b/Mh46Hmu0r5F/4IU69qV7/AMEtfhR4N8QfD7xb4Y1jwf4fj0HXNJ8ZeF7rSbpLuBVZykVyiNJF+8G2UDaxDAHIOPrqgApJJEijaWRgFUEsT2FLSSOI42kYEhQSQBkmgDxL9kr/AIKFfsx/tr+I/Fvg74GeItYfVvBUtt/bel+IPDd5pdx9nuQ5tryKO6jRpraYRyGOZQVbacds+3V8Bf8ABIf4s6h+09+1B8e/2sPiv8IPiN4O8c+Kryx0vTNB8Y/D3UNItNI8K6dLcw6bbxXNzEkd3czNJcXc/lkhDcIg4TJ+/aACiiigDxG6/wCChX7NGn/tj2X7C2pazrtr471OKY6W114XvI9Lvp4bVbyW0hv2jFvLcJbssrRK5ZVPODxXt1fnt8Z9O8U/E3/guj8HfFPwu+D/AMXI73wDb61ZfEPWvEulXH/CGR6FNpDmC702WQtbi9ku5YYS8G2YrHIkg2qK/QmgAooooA8s/aw/bL+AX7FXhPw74y/aA8VS6ZaeK/GNh4X0FLaze4lu9SvHKwxKiAnHyszN0VVJNep1+X3/AAcH/BL9tj4k+JvAXxA+Bf7Ly/E3wp4Tl0ZrOG08TC1utK1yTxPpcr3H2VYJZLhWtrRLczDattFc3MrblVlr9O9OmvbjT4J9Rs1t7h4Vae3WXeInIBZQ2BuwcjOBnFAE1FFFAHmn7WH7V3wr/Y0+FA+MXxetteuNNk1qy0m1svDGgT6pf3d5dzCGCGG2t1aSV3dgoCgnmup+EnxL0f4yfDTRPin4f0TW9Nstd09Lu2sPEmjTadfwIw4Se2nVZIHHdHAIrwr/AIKw+EPhD4y/ZQ+yfHHwd8XdY8P2PivTNRkPwPtbiXxDY3FvKZbe6hFt+/VUmWPLw/OpKnhQxGp/wSmX9pNP+Cd/wnX9rxtZPxC/4Rhf7ePiRs6lt86T7N9rPX7T9m8jzc8+ZvzzmgD6DooooArazrGleHtIu/EGu6hDaWNjbSXF5d3EgWOGJFLO7MeAoUEk9gK8u/ZB/bY+A/7cngS++JP7P9/rdzpFlfi3W51vw1d6b9rRo1kiurcXMaGe2lRg0cyZRxnB4Iq7+2t8NfF/xn/Y3+LPwf8Ah8R/b3ir4aa7pGiZfaDd3OnzwwjJ6fO6818f/wDBvR4a/aH8I/Bbxv4e+Jum/Fmx8F2Nx4etPBWnfGVZ11S1votDtY9bjgW4/eJYLqCusCj90FVvL+TFAH6G0UUUAFfPnwj/AOCl37PPxk/ay1T9izRPDXxB0jxxpljqN95Xin4fahplne2tlcpbT3Ftc3Eax3EXmSIFkjJVwwIJyK+g6+UP2c/A/jP4jf8ABVD4+ftN+NPCeqWGk+E/C/h/4b/D+61LT5YEvYFR9W1S5tzIoEsTXN3bw+YmVLWZGcqaAPq+iiigArwL41f8FMP2SP2fv2ofDP7IPxL8Z6nbeMfFD6elqtr4furixsnv55LewS7u40MVq1zNFJHEJGBdlIFe+1+UH/BSP4N/HHxV/wAFmvh/438O/Anx1q80eofDtvAOs6BoUk3hmW1tNav5tffXZVHlebbWssctoZzujd90PzE0Afq/RRRQB//Z", 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", 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", "info": {"equation": "20*15=300", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "20*15=300", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "8e43395aab333753fba269644ca3a5bb186232cae66fd0df92a44b5bca34457e"}
+{"episode": 86244, "episode_seed": 724405073, "split": "train", "timestamp": "2025-10-28T03:51:06.447019", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 724405073, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 1, 1])</answer>", "action": "('move', [0, 0, 1, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "19+20*8=179", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "19+20*8=179", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "e6d84e1ea84c754d6bf776c7d6b57e8aa7db63bd8ed09f05d8fc5de5490f5846"}
+{"episode": 86245, "episode_seed": 1132836730, "split": "train", "timestamp": "2025-10-28T03:51:06.539894", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1132836730, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 10, 4])</answer>", "action": "('move', [0, 0, 10, 4])", "reward": 0.0, "image": 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j4V+ay1SivdV0/f7Pa1jiv+DeHXfiRrn/AATJ8Nf8LBe7e2s9e1K18MSXaYLaakw2hD1ZFmM6AnoE2jhRX3FXkX7CmieAPDf7MHh/QfhTbafD4ZtbnUE0GPSZRJbC1+3XHlmJ1JDoRyGyd2c5Oc167X1GTxccqoJu/uR/JH5txjmlPO+K8dj4U/ZqrVqSUe15N2fn387hX4gftQ+L/wBoY/8ABy54XNsupPd2PjLQrHw9F9mDBNBkto/tPljoYjFLeszdiZDwRx+39fL3xY+E/wANtV/4KFeF/jLqXgyyn8VaTbabp+ma5IpM9tbSLqJeNOcAHc2TjPzEZwTXBxFRdWhQtJq1WG3m7frc+g8OeK8LwnjMdVr4dVVWw1akk7aOaVm7/Z0tLrZv0PqGvhH/AIOM9c+JGi/8E0dWj8BSXaWd94r0y18VPaJnGms0jEOeqobhbVSe+4KeGNfd1eXftoeD/DHxA/Zr8R+CPGmiw6jpOqvY22o2E+dk8L3sAZDgg4I9CDXfm9N1crrxTt7svyPn+Ds3o5BxXgcyq0/aRo1YTce6Uk9L6X6rzsfml/wSg+Mdtr37F/hDw58W/wBqO7iltNSmstK8Iah4wtYoWtIbgC2h+zN+8K7hhVzk4UDjAr9UfgZ4dfwv8LtN0uRZQzvcXTrMMMDPcSTEYwMAeZx7Yrmv2NvBvhTwT+zn4f8ACPhLw/a6fpmlTX9rp1lbxYS3hjvrhURc84AAHPNepV4/D2T1MJy4udZz5oJJP7KdnZavb5HTxjn9HP8APcXiaNFUo1Ks52XTmk3rZLXXXzCv59vhn8SPj63/AAXk8UW/i/xBqdte618S9R07xLazsE+06ZBOWtYWU8GNRb2bJjtGhHHX+gmvCf2hvgB8GPCt3rn7QXh34caZaeNPE2oaJZa74jhgxc3lvFe2wjjds4wAiDgAnYuc7Ri+KMuqY7Ac8J8vs+aT81yv8eno2e14f8Y4PhfD5lhq+H9q8ZRdGL09yTktXfp9rTXmjH1WT+wp4wvvEGmSaTpvjBtXsdNN5b3qfbVmFjOt27C3O3iNkD4CH5guM9BX0ZXCfszIifAvw7tUDNoxOB1PmPXd135HhJ4PLYQlNzb1u+l9bddj4THVo1sTJqNrafd1CvzG/wCDo3XPiTp/7I3gbR/Dr3aeGtQ8blfErQJ+7eRLd3tUkYdFLCVgOhaMHqor9Oa8S/b5+GXgH4w/BK0+HXxP8LW2taHqPiexF7pt2WEc2wu652kHhlU8HtRn9N1Mmrq9vdb+7X8bWPpfD7PsPwxxpgc0r0vaQpVE3HS9mmrq+nNG/NG9tUtVuY3/AASd1T4gaz/wTf8Ag7f/ABOinXVj4Lt0AuYRG5tELJaMQOxtlhIPUggnk19DVxn7OVpa6f8As/eCNPsbdIYLfwnp8UEMa4WNFt0CqAOgAAAHtXZ13YOLhg6cb3tFfkeDnWNhmWcYnFwgoKpUnNRW0VKTfKvJXsiO6aZbWRrYZkEZMY9WxxX4kf8ABvP4u/aA1z/gp98V7vx7/aMtzqug6ncfEJ723wy6kuoxFPNJ/wBXIJWnUKP9sYwOP27r5f8A2TPhN8NfAv7WXxE8c+D/AAZZafrHiq61i48RajArebfyx6uyozkk9AxwBgcnjNeRm1FzzPBSUmrTl/6S3+lvmz7HhHivC5FwtnWXVcOqksXTpxjLT3HGevy97mVvtRj6r6gqK+itZ7KaG+VTC8TLMH6FSOc+2Klrjfjn4wtvCfgO5SSYpLfI0EbAZ2rjMjH2CZ/MV62OxNPB4OpXqbRTfr5fPY+AoUpVq0YR3bPDP2e9Z8La7+2BP4dnV5H8PeE7iXRpZYo9jXE0sPnYO/csyW5t+AuNl0/zdq+pa+R/Bfw51/wFp/w9+NMduYdV1jXP+Eg1KKaVNwiugYpLckxDBSxliUDg77cAt/FX1wCCMg14XCt6OBlhZx5Z03qv8S5k/wAbfI7819+uqsXeMlp8tH/XmcD+1Xq3xB0D9mL4i658JhcHxTZ+B9Vn8OCzi3y/bltJWg2L/E3mBcDucV+IH/BC74sah4dHxI0DxX+0hqHgrRZ2sruNYvFFvp32y9cyrI5aYFpG8tVzjpxnkiv39PTivl3/AIJq/B/4X/CbQfEmk/DfwNYaPb6nBpepahFaRn9/dyxTeZMxYklm2j2GOAKyz7AVcdmeGhTqum2p6rpZJ91vsz7bhnjDB5PwJmuT1MMqk8RKi1N293kk2731/wANtuaVzlv+CdfhL4a/D79oXxh4X/Z90/T4PCVz4B0W91j+xvLltpNQM90lvO0ykl55bYFmYkl1WNzktub7Lr5e/wCCa/wm+GvwksvFVl8NfBllo0WsW2l6nqi2akfabyUXPmTMWJJY7R7DHAFfUNd3DNN08kpK9/i/9KZ8vxVjoZjnU6sXKXuwXNL4pNRScpavV+r0srvc85+LHw1/Zg8XfFvwB4r+MujeF7jxnot7dP8ADmXWbqNLxZzGpn+yIzAzMFVGIAbbtDcEA16HHbwRHdFAin1VQK/Dj/g4Z+JHx58I/wDBT34e6noPiPVNJh8P+HtNvPAV7buIlt7l7uQzTRMfl3+YiBi3ZEDfLjP6L/s4fFu18R+Prbw/4J/aUufG87XUUt1ZS+K7fUWgiBKs22EAqhDHJPGQOmK8+pxRhcNmVTDSovm5krpLXZXf6b6WPq+JOBsXlXDGUZjLFqpHE0pzUG3+7tK/LHV6Pmu9vf5/U+s6KKK+uPzI+ev+CsGufEnw3/wTk+L+s/CV7tNbi8HzBJLGPdLHbM6LdOvcbbYzNuHKgEjkCvkr/g1u1Tx/dfsieO9M1uKf/hHbXx3nQJJIQEMz2sRuVRurAYhJHQFj6mv0U+NUEN18G/FttcRh45PDN+ro3RgbeQEV5X/wTy+Fvw8+DXwd1j4ffCzwjaaHotn4od7bTrINsRpLKzdzliSSWYkkk9a+fxNFviShU5n8E9OmjX/yX4I/RMu4rwuF8Msdw/LDp1KtenUVTTRJarvdcto9LTnt196r8F/+ChvxK+Nfh7/g4Dtta1fxtqPh46X4g0Wx0HVvtEdt9i0OW2jWZopJPkSMrPeEuejPIeo4/eiuO1X9nz4K658atO/aL1f4baXceONJ0eTS9N8SywZubezcsWhU5xgl35xkB2AOGIO+d5ZVzXDQp06nI1JSv6X/ABW68yPDzjLB8F43GV8ThlWVfD1aKWmjnazd/s6Wl1s36Hwnr1r8GvEfxK8JfGTwL8Sbfxx8R7X4h+G7HRfEb65b6tqUETXuyWzjZD+6gNnNqLuigfKZZDkoGX9Ha+XfjT8Ivhjqv7fXhD4v6l4IsJvE+i2ulWek608Z860gll1DzETnaN25gTjOGIzgmvqKuHhvCzwn1mnOo5tVLXfX3Yu+73v+B4mf5lTx2DwdON24Qd3Lpd2UI6v3IqN47ayl7q6/Df8AwcRa58SdE/4Jl+IR8Pnu0trzxDptr4oktI87dNaU7g56qjTC3Ukdd208Ma+Sv+CWvjHwZ8Qf2DNC+Ffx9/aFb+y21i6srXwFqXi61t7S6sluVeKF7U4kkjeYvlSf3mdpBU4P66fGLw18LPGHwq8Q+GfjhaaVP4PvNJnj8SR63Msdp9j2EymV2ICIFBJfI24zkYzXm3xs+F/wPuf2H7z4X+B/DOiz+Ap/DNnYaXYaY4ezm0x2iRFjdD80bRkYcMSQc5Oc1z57ktfGYmeKhXcEqbTSvd2u7brR/mfW5VxrhcNwDSyB4Zqaxare2SWi5FHTZ+0XTVe7bVbmL/wTRsrLRvgh4i8M+FbVIfCelfEXWbXwZFbwIlvHZCVXlSDZw0SXr3qKe2zb0UV9EV5V+xV4N8K/Dv8AZ00fwL4H0K30vR9J1DU7bTdPtVIjt4V1C4Coucn8SST1JJr1WvdyePJlNBXv7kfyR8Fn2Lhjs6xFeCdpSe+713l/elvL+82FeU+MfBJ1r9o/RdWOnvGII4bprmIH94IVnADE5GAZSOMH5h616tRWuOwaxsYRcrcsoy9eV3t8zgoVnQcna90194V4L/wUE1zVtE8AeCAmqXFlo138TtLg8Szw4Ef2fZO1ukrn7kb3yWKE5GS6r/Fiveqw/iV8NvAnxh8B6r8MPid4Xtda0DW7NrXVdLvULRXETdVOMEdiCCCCAQQRTzDDSxmBqUIys5Jq/qdWUYuhgsypVq8eaCeqSTdno2k9OZXvG+l0j4E/Z/8A2hdAk1nxAJf2wLmCO2+ImrWug+Hm8Y2UMElv9oKiNIAN7oZmmCnOWwCCcivvz4cXGr3fgbTLjXS5untVMplzuPoTnuRgmn+CPh/4J+G3g/SvAHgTwxZ6Xo2iWENlpOnWkIWO2t4kCRxqPQKAPWtivJybJMRllRzq4h1PdtZ3sttrt+i0R05zmWEzDETeHoqEeZtbXtsr2Vrvd+YVxvx707+0vhneRfYBcCKe3n2kElDHKrhxjupUH8K7KivZxmH+t4SpQvbmTV+11Y8mjU9jWjO17NP7jm/hB4aPhD4ZaL4dPmZt7Fdwm+8C2XIPA6FsV0lFFa0aao0Y019lJfcTOXPNy7hXCftE6YdS+HoYacLg22owzr8pJjIJAcY784+hNd3RWOOwv13B1KF7cyav2uXQq+wrRqWvZ3MT4a+Hh4S+HeheFgZD/Z2kW1tmXG75I1XnAHPFbdFFb04KnTUF0VjOT5pNhXlPwg8EnT/jH4o8TtYPbeW9xAI1BEbNPc+ezc8kkgNwcfP7ivVqK5cTg1icRRquVvZtu3e6a/U2pVnSpzhb4lb8bhXP+Pvh7p3j+Oxjv7p4fsV0JQUQHev8Sc9M4HPtXQUVviMPRxVF0qsbxe6/Ezp1J0pqcHZo5/x/8PtO8f21nbX108P2S6EoZFB3L0ZOemR37V0AAAwBwKKKIYejTrTqxjaUrXfe233BKpOUFBvRbfM4P9qXVPHGh/s0fEHWvhm12viK08FapNobWEPmTrdrayGIxr/E4cLtHc4r4Q0H42eA9H+M/wDwjHhz9rK48M+HYvhjok8S2Hi6zs47iV5bjyZC8mWkka3CsRnhSjfxgn9K64z4Nfs7/BD9nrQtQ8M/BT4Y6T4bsNV1ibVdQtdNt9qT3ku0SSnOeSFUYHACgAADFeHnOS4jM8TSq0qzp8qa0vfW21mvnqfR5XnGXYLKK+HrUeepJ3g7K2tr8zevuqPuWT1lK9uvHfseaBosHhq98XeHL9brTtRtrO30+5hnWWGaCFZCkiOuQ4Pmn5gSDjjvXslIqqihUUADoAKWvUy3BLLsDDD83Ny9dr63PAxNf6zXlUta5x3j79n34K/FLx/4V+KfxD+G2mav4h8EXE0/hTVryHdLpskoUSNGc452KeQcFQRgjNddHbwRHdFAin1VQKfRXYoQi20tXv5+oqmIxFanCnUm3GCtFNtqKbbaS6Jtt2XVt7sKKKKoxM3xlYDVfCOq6W1mtwLnTZ4jbtnEoaNhtOOec4/GuN/Zo8NN4f8AAt3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/AIG8a7jh5UrbtO/pcKKKK7TA8p8d+CW179onQdSNg8YhjguGuoh/rBbmZgrE5GA0hHY/OPUV6tRRXFg8GsJOrJSv7STl6aJW/A3rVnWjBWtyq35nw3/wcRa58SdE/wCCZfiEfD57tLa88Q6ba+KJLRM7dNaU7g56qjTC3Qkdd208Ma+Xf+CS3xittZ/Yu8MeGfi5+1HdW32PWLiy0jwjf+MLWCF7KOZfIiNu37xk8zcFBPOABxiv1t+Inw88E/FrwLqvwz+JHhq11jQdcsZLPVtMvE3R3MLjDI2OR9QQQcEEEZpPAnw68DfDHwZpXw88AeFrPStE0OwistJ060hAjtoI1Coi98AAcnJPUkmvEzbh/E5lj/bwrumnHl0v323Wj/M/QcLxxgcP4dLhx4VSqrE+29pptycttm+a+l9uXQyvgT4dbwx8L9P0+QShpprm7dZhhgZ7iSbGMDj5+Pauvoor6HC0FhsNCinflSV/RWPzurP2tWU+7b+8KKKK3MwooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAryMftxfs3n9sI/sJjxpP/AMLGHh7+1zp39mT/AGby9vmeR9p2+V9p8n9/5G7f5Xz428165X51p8IPjKP+C47E/CXxL/YP/Ccn4if8Jz/Zb/2R/Zh8Cr4d+x/avufavtwP+j53eX+8xjmgD9FKKKKAOB/af/aV+FP7IHwJ8Q/tG/G3Ur208MeGLVbjVJtO02W8nCtIsahIYlZ3JZ1HAwBkkgAkdl4e13TvFHh+x8TaRIz2mo2cV1au6FS0ciB1JB5BwRxXhn/BVPX5tA/4JxfGtbLwj4i1681T4caro+m6R4V0C41O+ubu+t3s4FS3t1aRl82dC7AEIgZzhVJr0D9lPxfa+Pf2aPAfi2y0LWdMjvPCdiRp/iHSJrC+tysCqUmt5lWSFwVOVYAigDv6KKKAPJPhV+27+z78Zf2j/Gv7KXgvXtU/4TTwHbLc6xY6loF1aQ3EBlMDzWk00ax3cccw8l3iLKsnyk5r1uvi79mD4l3nxs/4K5fGvxL47+GPjvQbvwN4Tg8GeAJ9V8EXtrpF9pEVzFc6hfx6jJGLe4luL2aNI4kckQ2G/B3tj7RoAK8s/a+/bG+Cf7DvwnPxq+Pd1rUOgpei3mm0Lw7danLCPLkleaSO2R2jhjiikkklYBEVCSemfU6+Qf8AguLDH4h/4J7+MPhfD8Ovip4j1LxfaTaZ4bt/hPp89zcpq5t5ZLFb1YTn7BJOkcU3mBoSsm2QbWJoA+ttK1TTtc0u21vSLtLi0vLdJ7WeM5WSN1DKw9iCD+NWKxfhtB4ktfh1oFr4xtbeDV49FtV1WG0QLFHciFRKqBeAofcABxjFbVABXnXwh/ao+DHx0+K3xI+DHw18QzX2ufCjWrTSvGaG0dIra7uLVblI0kI2ykRsA23O1gVPIr0Wvzy/4Ir/AAs/a7+E37SP7SWn/tS/s5Dwhc61rGiapL4jh8RC/g8Q6hNHdy3NxEywRqQ3mqxVWfydywkkpuIB+htFFFAHk37Rn7Znwm/Zi8c+BPhx480LxfqesfETUZrTw9Z+EvCN3qzJ5L26zT3H2ZG+zwIbmHdK+EUNkkYr1mvhf/gtB4X8YanqXwf8U/A7wx8X5fizpnitIPhtrPw4gmOk2k0+o6X9ti1x4vlSyktYZCRN+5YRSZ+cIK+6KACmzTQ20L3FxKsccalnd2wFA5JJPQU6uc+MXhjV/G3wi8VeDNAmEd/q/hy+srKRmwFmlt3jQk9sMw5oA5T9lP8Aa8+Cf7aHw+u/ij8BtU1S90O01eWwS91PQrmxF2UVHW4txcIhntpEdHjnTKSK2QTg49Or4F/4N5vBHx/+G/7ImteA/jJpfxIsNK0XWtO0/wAL6d8UxMNRtXg0PTodUjgE3zLYLqaXq2wHyeWP3fyba++qACvFPjn+3v8ABH9nb9oXwP8As2fEnQvGqaz8Qr20svDusaf4JvbnRjdXM0sUVvNqCRmCGYmF2MbMGCAORtINe1183/tQeEfFfxW/bs/Z08FQeG9Rn8MeELvxF461/URZSGzivLXTxpmnwvLjYJWfVp5UQncRbMwGFNAH0hRRRQBzXxk+LngH4BfCfxH8bfiprg03w34T0W41XXL8xM/kWsEZkkYKoLMdqnCgEk4A5NYX7Lv7T/wm/bB+Ddh8c/gtf6hNot9d3Vo0OsaVNYXlpdW0729xb3FvOqyQyxyxurIwBGK5H/gpf4b+IXjH/gnv8aPCfwo8JNr3iLU/htq9rpejR2onkvJHtXUxRxtw8hUtsXu+2uA/4Iu+Etd8F/sM2ej3/gvxZoWkyeOfE114RtviBZSQeIJ9Gm1i6ls7jUll/em7kjcO7S/vGypbk0AfV9FFFAHka/tyfs3v+2G37Ci+M7j/AIWKmgf2s2n/ANlz/ZdmwS/Z/tW3yftPkkT+Ru3+Ud+NvNeuV+d/jD9m/wCI2of8F/PCvxN8BzeOv+EWtLO48XeObe/8GCLQI7weG5dCtp7bVt/7+aRZIomsgoMf2eWUnDJX6IUAFebfGf8Aax+DPwE+KXw5+DfxF1a/h174qa5PpPhC3tNKmnjluIYfOfzZUUpAoXABcjcTgZ5x6TXyD/wVO+Jq+BviL+zPZr8NPHXiDyvjzaavfT+D/BV7q0Wn2cFheWskty9tG4t182/gxvI3KJGGRG2AD2P9lr9uL9nD9sq+8Z6d8APGk+rS+A/EDaRrwuNMntgZAXVZ4DKqi4tpGilVJ0yjmGQAnaa9br86/wDghX8HvjL8PPEnjwfFH4SeI/Ca+EPBHhj4dzP4g0x7ZNY1PSLzXJrq8tC3/HxalNQtilwuVfewB+U1+ilAH//Z", 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", 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COQ2TuznJzmvXa+oyeLjlVBN39yP5I/NuMc0p53xXjsfCn7NVatSSj2vJuz8+/ncK/ED9qHxf+0Mf+DlzwubZdSe7sfGWhWPh6L7MGCaDJbR/afLHQxGKW9Zm7EyHgjj9v6+Xvix8J/htqv8AwUK8L/GXUvBllP4q0m203T9M1yRSZ7a2kXUS8ac4AO5snGfmIzgmuDiKi6tChaTVqsNvN2/W59B4c8V4XhPGY6rXw6qqthq1JJ20c0rN3+zpaXWzfofUNfCP/BxnrnxI0X/gmjq0fgKS7SzvvFemWvip7RM401mkYhz1VDcLaqT33BTwxr7ury79tDwf4Y+IH7NfiPwR400WHUdJ1V7G21Gwnzsnhe9gDIcEHBHoQa783purldeKdvdl+R8/wdm9HIOK8DmVWn7SNGrCbj3SknpfS/Vedj80v+CUHxjtte/Yv8IeHPi3+1HdxS2mpTWWleENQ8YWsULWkNwBbQ/Zm/eFdwwq5ycKBxgV+qPwM8Ov4X+F2m6XIsoZ3uLp1mGGBnuJJiMYGAPM49sVzX7G3g3wp4J/Zz8P+EfCXh+10/TNKmv7XTrK3iwlvDHfXCoi55wAAOea9Srx+HsnqYTlxc6znzQSSf2U7Oy1e3yOnjHP6Of57i8TRoqlGpVnOy6c0m9bJa66+YV/Pt8M/iR8fW/4LyeKLfxf4g1O2vda+Jeo6d4ltZ2CfadMgnLWsLKeDGot7Nkx2jQjjr/QTXhP7Q3wA+DHhW71z9oLw78ONMtPGnibUNEstd8RwwYuby3ivbYRxu2cYARBwATsXOdoxfFGXVMdgOeE+X2fNJ+a5X+PT0bPa8P+McHwvh8yw1fD+1eMoujF6e5JyWrv0+1przRj6rJ/YU8YX3iDTJNJ03xg2r2Omm8t71PtqzCxnW7dhbnbxGyB8BD8wXGegr6MrhP2ZkRPgX4d2qBm0YnA6nzHru678jwk8HlsISm5t63fS+tuux8Jjq0a2Jk1G1tPu6hX5jf8HRuufEnT/wBkbwNo/h17tPDWoeNyviVoE/dvIlu72qSMOilhKwHQtGD1UV+nNeJft8/DLwD8YfglafDr4n+FrbWtD1HxPYi9027LCObYXdc7SDwyqeD2oz+m6mTV1e3ut/dr+NrH0vh9n2H4Y40wOaV6XtIUqibjpezTV1fTmjfmje2qWq3Mb/gk7qnxA1n/AIJv/B2/+J0U66sfBdugFzCI3NohZLRiB2NssJB6kEE8mvoauM/ZytLXT/2fvBGn2NukMFv4T0+KCGNcLGi26BVAHQAAAD2rs67sHFwwdON72ivyPBzrGwzLOMTi4QUFUqTmoraKlJvlXkr2RHdNMtrI1sMyCMmMerY4r8SP+Defxd+0Brn/AAU++K9349/tGW51XQdTuPiE97b4ZdSXUYinmk/6uQStOoUf7Yxgcft3Xy/+yZ8Jvhr4F/ay+Injnwf4MstP1jxVdaxceItRgVvNv5Y9XZUZySegY4AwOTxmvIzai55ngpKTVpy/9Jb/AEt82fY8I8V4XIuFs6y6rh1Uli6dOMZae44z1+Xvcyt9qMfVfUFRX0VrPZTQ3yqYXiZZg/QqRzn2xUtcb8c/GFt4T8B3KSTFJb5GgjYDO1cZkY+wTP5ivWx2Jp4PB1K9TaKb9fL57HwFClKtWjCO7Z4Z+z3rPhbXf2wJ/Ds6vI/h7wncS6NLLFHsa4mlh87B37lmS3NvwFxsun+btX1LXyP4L+HOv+AtP+HvxpjtzDqusa5/wkGpRTSpuEV0DFJbkmIYKWMsSgcHfbgFv4q+uAQRkGvC4VvRwMsLOPLOm9V/iXMn+Nvkd+a+/XVWLvGS0+Wj/rzOB/ar1b4g6B+zF8Rdc+EwuD4ps/A+qz+HBZxb5fty2krQbF/ibzAuB3OK/ED/AIIXfFjUPDo+JGgeK/2kNQ8FaLO1ldxrF4ot9O+2XrmVZHLTAtI3lqucdOM8kV+/p6cV8u/8E1fg/wDC/wCE2g+JNJ+G/gaw0e31ODS9S1CK0jP7+7lim8yZixJLNtHsMcAVln2Aq47M8NCnVdNtT1XSyT7rfZn23DPGGDyfgTNcnqYZVJ4iVFqbt7vJJt3vr/httzSuct/wTr8JfDX4fftC+MPC/wCz7p+nweErnwDot7rH9jeXLbSagZ7pLedplJLzy2wLMxJLqsbnJbc32XXy9/wTX+E3w1+Ell4qsvhr4MstGi1i20vU9UWzUj7TeSi58yZixJLHaPYY4Ar6hru4ZpunklJXv8X/AKUz5firHQzHOp1YuUvdguaXxSaik5S1er9XpZXe55z8WPhr+zB4u+LfgDxX8ZdG8L3HjPRb26f4cy6zdRpeLOY1M/2RGYGZgqoxADbdobggGvQ47eCI7ooEU+qqBX4cf8HDPxI+PPhH/gp78PdT0HxHqmkw+H/D2m3ngK9t3ES29y93IZpomPy7/MRAxbsiBvlxn9F/2cPi3a+I/H1t4f8ABP7Slz43na6ilurKXxXb6i0EQJVm2wgFUIY5J4yB0xXn1OKMLhsyqYaVF83MldJa7K7/AE30sfV8ScDYvKuGMozGWLVSOJpTmoNv93aV+WOr0fNd7e/z+p9Z0UUV9cfmR89f8FYNc+JPhv8A4JyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wa3ap4/uv2RPHema3FP8A8I7a+O86BJJCAhme1iNyqN1YDEJI6AsfU1+inxqghuvg34ttriMPHJ4Zv1dG6MDbyAivK/8Agnl8Lfh58Gvg7rHw++FnhG00PRbPxQ722nWQbYjSWVm7nLEkksxJJJ618/iaLfElCpzP4J6dNGv/AJL8EfomXcV4XC+GWO4flh06lWvTqKppoktV3uuW0elpz26+9V+C/wDwUN+JXxr8Pf8ABwHba1q/jbUfDx0vxBotjoOrfaI7b7FocttGszRSSfIkZWe8Jc9GeQ9Rx+9Fcdqv7PnwV1z41ad+0Xq/w20u48caTo8ml6b4llgzc29m5YtCpzjBLvzjIDsAcMQd87yyrmuGhTp1ORqSlf0v+K3XmR4ecZYPgvG4yvicMqyr4erRS00c7Wbv9nS0utm/Q+E9etfg14j+JXhL4yeBfiTb+OPiPa/EPw3Y6L4jfXLfVtSgia92S2cbIf3UBs5tRd0UD5TLIclAy/o7Xy78afhF8MdV/b68IfF/UvBFhN4n0W10qz0nWnjPnWkEsuoeYic7Ru3MCcZwxGcE19RVw8N4WeE+s051HNqpa76+7F33e9/wPEz/ADKnjsHg6cbtwg7uXS7soR1fuRUbx21lL3V1+G/+DiLXPiTon/BMvxCPh892lteeIdNtvFElpHnbprSncHPVUaYW6kjru2nhjXyV/wAEtfGPgz4hfsGaF8K/j5+0Kf7LbWLqytfAWpeLrW3tLqyW5V4oXtTiSSN5i+VJ/eZ2kFTg/qX+2V4U8O+Ov2avE/gzxfpEWoaVqsVta6jYz52TwvdQq6HBBwQSOCDXl1r8JPhnb/8ABN+/+D1v4JsI/DCx32ljRY4ysIszq0sZh4O7GwkZznvnPNebn2X1sXm03Cs4Wotu3VJ/DutGfYZVxng8N4e0sieHtUWLVX2qtdLktdbPnT2d0rWV1ua//BNGystG+CHiLwz4VtUh8J6V8RdZtfBkVvAiW8dkJVeVINnDRJeveop7bNvRRX0RXlX7FXg3wr8O/wBnTR/AvgfQrfS9H0nUNTttN0+1UiO3hXULgKi5yfxJJPUkmvVa+nyePJlNBXv7kfyR+f59i4Y7OsRXgnaUnvu9d5f3pby/vNhXlPjHwSda/aP0XVjp7xiCOG6a5iB/eCFZwAxORgGUjjB+YeterUVrjsGsbGEXK3LKMvXld7fM4KFZ0HJ2vdNfeFeC/wDBQTXNW0TwB4ICapcWWjXfxO0uDxLPDgR/Z9k7W6SufuRvfJYoTkZLqv8AFiveqw/iV8NvAnxh8B6r8MPid4Xtda0DW7NrXVdLvULRXETdVOMEdiCCCCAQQRTzDDSxmBqUIys5Jq/qdWUYuhgsypVq8eaCeqSTdno2k9OZXvG+l0j4E/Z//aF0CTWfEAl/bAuYI7b4iata6D4ebxjZQwSW/wBoKiNIAN7oZmmCnOWwCCcivvz4cXGr3fgbTLjXS5untVMplzuPoTnuRgmn+CPh/wCCfht4P0rwB4E8MWel6NolhDZaTp1pCFjtreJAkcaj0CgD1rYrycmyTEZZUc6uIdT3bWd7Lba7fotEdOc5lhMwxE3h6KhHmbW17bK9la73fmFcb8e9O/tL4Z3kX2AXAint59pBJQxyq4cY7qVB/Cuyor2cZh/reEqUL25k1ftdWPJo1PY1oztezT+45v4QeGj4Q+GWi+HT5mbexXcJvvAtlyDwOhbFdJRRWtGmqNGNNfZSX3Ezlzzcu4Vwn7ROmHUvh6GGnC4NtqMM6/KSYyCQHGO/OPoTXd0VjjsL9dwdShe3Mmr9rl0KvsK0alr2dzE+Gvh4eEvh3oXhYGQ/2dpFtbZlxu+SNV5wBzxW3RRW9OCp01BdFYzk+aTYV5T8IPBJ0/4x+KPE7WD23lvcQCNQRGzT3Pns3PJJIDcHHz+4r1aiuXE4NYnEUarlb2bbt3umv1NqVZ0qc4W+JW/G4Vz/AI++HuneP47GO/unh+xXQlBRAd6/xJz0zgc+1dBRW+Iw9HFUXSqxvF7r8TOnUnSmpwdmjn/H/wAPtO8f21nbX108P2S6EoZFB3L0ZOemR37V0AAAwBwKKKIYejTrTqxjaUrXfe233BKpOUFBvRbfM4P9qXVPHGh/s0fEHWvhm12viK08FapNobWEPmTrdrayGIxr/E4cLtHc4r4Q0H42eA9H+M//AAjHhz9rK48M+HYvhjok8S2Hi6zs47iV5bjyZC8mWkka3CsRnhSjfxgn9K64z4Nfs7/BD9nrQtQ8M/BT4Y6T4bsNV1ibVdQtdNt9qT3ku0SSnOeSFUYHACgAADFeHnOS4jM8TSq0qzp8qa0vfW21mvnqfR5XnGXYLKK+HrUeepJ3g7K2tr8zevuqPuWT1lK9uvHfseaBosHhq98XeHL9brTtRtrO30+5hnWWGaCFZCkiOuQ4Pmn5gSDjjvXslIqqihUUADoAKWvUy3BLLsDDD83Ny9dr63PAxNf6zXlUta5x3j79n34K/FLx/wCFfin8Q/htpmr+IfBFxNP4U1a8h3S6bJKFEjRnOOdinkHBUEYIzXXR28ER3RQIp9VUCn0V2KEIttLV7+fqKpiMRWpwp1JtxgrRTbaim22kuibbdl1be7CiiiqMTN8ZWA1XwjqultZrcC502eI27ZxKGjYbTjnnOPxrjf2aPDTeH/At3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/gbxruOHlStu07+lwooortMDynx34JbXv2idB1I2DxiGOC4a6iH+sFuZmCsTkYDSEdj849RXq1FFcWDwawk6slK/tJOXpolb8DetWdaMFa3KrfmeDf8FBtc1fQ/hl4SaLU7iy0W6+JWjweJ7mEAItoWkaFZXP3InvVs42PGd+3oxr5X+Enxq8E+JNS8V6H4l/awk/s+D4j6jbaN4Xn8YWUNrLAsyN5QgGHdPtRnAOcvgcniv0H+Ivw78EfFvwLqvwz+JPhq11jQdcsXs9V0u8TdHcwuMMpxyPYggg4IIIzR4D+HXgX4YeDNK+Hfw/8AC1npWiaHYRWWk6daQhY7aCNQqIvfgAcnJPUkmvEzbh/E5lj/AG8MQ6aceXS/d6brR/mfR4XO8uw+RLDSoc1ZS3suXl3vfV89/d2ty9bmV8CfDreGPhfp+nyCUNNNc3brMMMDPcSTYxgcfPx7V19FFfQ4WgsNhoUU78qSv6Kx8zVn7WrKfdt/eFFFFbmYUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAV5GP24v2bz+2Ef2Ex40n/wCFjDw9/a507+zJ/s3l7fM8j7Tt8r7T5P7/AMjdv8r58bea9cr860+EHxlH/BcdifhL4l/sH/hOT8RP+E5/st/7I/sw+BV8O/Y/tX3PtX24H/R87vL/AHmMc0AfopRRRQBwP7T/AO0r8Kf2QPgT4h/aN+NupXtp4Y8MWq3GqTadpst5OFaRY1CQxKzuSzqOBgDJJABI7Lw9runeKPD9j4m0iRntNRs4rq1d0Klo5EDqSDyDgjivDP8Agqnr82gf8E4vjWtl4R8Ra9eap8ONV0fTdI8K6BcanfXN3fW72cCpb26tIy+bOhdgCEQM5wqk16B+yn4vtfHv7NHgPxbZaFrOmR3nhOxI0/xDpE1hfW5WBVKTW8yrJC4KnKsARQB39FFFAHknwq/bd/Z9+Mv7R/jX9lLwXr2qf8Jp4DtludYsdS0C6tIbiAymB5rSaaNY7uOOYeS7xFlWT5Sc163Xxd+zB8S7z42f8FcvjX4l8d/DHx3oN34G8JweDPAE+q+CL210i+0iK5iudQv49RkjFvcS3F7NGkcSOSIbDfg72x9o0AFeWftfftjfBP8AYd+E5+NXx7utah0FL0W802heHbrU5YR5ckrzSR2yO0cMcUUkkkrAIioST0z6nXyD/wAFxYY/EP8AwT38YfC+H4dfFTxHqXi+0m0zw3b/AAn0+e5uU1c28slit6sJz9gknSOKbzA0JWTbINrE0AfW2lapp2uaXba3pF2lxaXluk9rPGcrJG6hlYexBB/GrFYvw2g8SWvw60C18Y2tvBq8ei2q6rDaIFijuRColVAvAUPuAA4xitqgArzr4Q/tUfBj46fFb4kfBj4a+IZr7XPhRrVppXjNDaOkVtd3FqtykaSEbZSI2AbbnawKnkV6LX55f8EV/hZ+138Jv2kf2ktP/al/ZyHhC51rWNE1SXxHD4iF/B4h1CaO7lubiJlgjUhvNViqs/k7lhJJTcQD9DaKKKAPJv2jP2zPhN+zF458CfDjx5oXi/U9Y+ImozWnh6z8JeEbvVmTyXt1mnuPsyN9ngQ3MO6V8IobJIxXrNfC/wDwWg8L+MNT1L4P+Kfgd4Y+L8vxZ0zxWkHw21n4cQTHSbSafUdL+2xa48XypZSWsMhIm/csIpM/OEFfdFABTZpobaF7i4lWOONSzu7YCgckknoKdXOfGLwxq/jb4ReKvBmgTCO/1fw5fWVlIzYCzS27xoSe2GYc0Acp+yn+158E/wBtD4fXfxR+A2qape6HaavLYJe6noVzYi7KKjrcW4uEQz20iOjxzplJFbIJwcenV8C/8G83gj4//Df9kTWvAfxk0v4kWGlaLrWnaf4X074piYajavBoenQ6pHAJvmWwXU0vVtgPk8sfu/k2199UAFeKfHP9vf4I/s7ftC+B/wBmz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/9qDwj4r+K37dn7OngqDw3qM/hjwhd+IvHWv6iLKQ2cV5a6eNM0+F5cbBKz6tPKiE7iLZmAwpoA+kKKKKAOa+Mnxc8A/AL4T+I/jb8VNcGm+G/Cei3Gq65fmJn8i1gjMkjBVBZjtU4UAknAHJrC/Zd/af+E37YPwbsPjn8Fr/AFCbRb67urRodY0qawvLS6tp3t7i3uLedVkhljljdWRgCMVyP/BS/wAN/ELxj/wT3+NHhP4UeEm17xFqfw21e10vRo7UTyXkj2rqYo424eQqW2L3fbXAf8EXfCWu+C/2GbPR7/wX4s0LSZPHPia68I23xAspIPEE+jTaxdS2dxqSy/vTdyRuHdpf3jZUtyaAPq+iiigDyNf25P2b3/bDb9hRfGdx/wALFTQP7WbT/wCy5/suzYJfs/2rb5P2nySJ/I3b/KO/G3mvXK/O/wAYfs3/ABG1D/gv54V+JvgObx1/wi1pZ3Hi7xzb3/gwRaBHeDw3LoVtPbatv/fzSLJFE1kFBj+zyyk4ZK/RCgArzb4z/tY/Bn4CfFL4c/Bv4i6tfw698VNcn0nwhb2mlTTxy3EMPnP5sqKUgULgAuRuJwM849Jr5B/4KnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df8AwQr+D3xl+HniTx4Pij8JPEfhNfCHgjwx8O5n8QaY9smsanpF5rk11eWhb/j4tSmoWxS4XKvvYA/Ka/RSgD//2Q==", "info": {"equation": "12+17*8=148", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "12+17*8=148", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "053f29707d5c8e3377f0939230fc46a8e499ef23bbb27fdf1cc96367bdb03d07"}
+{"episode": 86246, "episode_seed": 2689019421, "split": "train", "timestamp": "2025-10-28T03:51:06.603621", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2689019421, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 4, 4])</answer>", "action": "('move', [2, 8, 4, 4])", "reward": 0.0, "image": 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", 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", 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+4szbfvtX11/wTp/Zx+BXwW+LXgDxf8Kvhfpeh6p4k8AXcmuX9mjmW8bybGQ7i7HA3uzbVwMkccDHsn/BST4O/C/466F8Pfh/8X/BVnr+iyeMZ530+9LhDKmlXxR8oykEEnvX5vg8LKfBtZ87+Jv7raej39T9h4Z4zyLhHxCwWPpYZ1aVKMotyUVUbnzPnSTcVKF+WPvapPWPNaPgn/BtHr/xi1f9gW8034hQ3g8O6b4vu4fAst1bBFezIWScRNjMiC6efk5w29QflwP0Qrxj9gXwt4b8Dfs32ngzwdolvpuk6V4l12103T7SPZFbwpqt0FRR2AA+p6nJNez191ksHTyihFu/uR/FX/DZH5xxtnVHiLi3G5lSpKlGrUlJRXTXrbq95PrJthRRXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rox2Mo5fhZV6rsor7+yXm9j5yhRniKqpw3Z4j+1V8RfE/jbxRY/Dz4Z3I/tzxDqQ0LwswRHEMjKz3N8UaRQ6QQxzTnB+YRIvVgD9C/Cv4aeFPg58OdF+F3giwFvpeh6fHa2iADcwUfNI5H3ndtzs3VmZmPJNeHfsY+ApfG3jnW/2ltes2W1g+0eHfA0UpU7bSKYLe3gUxhkM9xCEX5jmK2jYYDnP0jXjcOYSqqM8dX/iVnzPyj0X3fp2O3MqsOdUKfww0+fVhRRRX0h5oUUUUAfz/AH/Byh4t+OOqft+nwl8QJdRTwfpXh6zk8AW80Wy1aKWCM3c0WOHc3KyI7H5sRIp4Va/UD/ghJr3xi8Qf8EzvAU/xkgu1ltluLbw497bCJ5NHjfbaMAACybBhGIyyKp5GCdP/AIKHfs/fBb9ob4sfDnw78bfhzp/iSx0/Q9dubK21DftimNxpSlxsZT90kYORz0r2D9jC1tbD9lPwDYWNtHDBB4at44IYUCpGirhVVRwAAAABwAK+MyzDSpcWYtubeif/AIFZ2+WyP2vizxEy/PfCvKuH6WDUKmHfvT0t7qlG8ba3qX5ql7e9/Ne69Oooor7M/FD+Yb/grd4y+O/iX/got8Trr47XGpJqul+Kbmz0KK+i8v7PpEczHTxCo4EZgMcgI+8ZGc5ZmNfqN8EPjlp3xL/Zo8M/8NBftz6oNb17wlAPF2nS/EiytCZZocTRsse1oshiCFKsueCCK7z/AIKE/s5fAv4rfHTx38S/iT8LtL1rXfDfw2sm0LUr+Nma0KpqUilV3BWw4DfMDyK+zviPa2v/AAqDXpPs0Zb/AIRu6OSg6/Z2r81wmS4nF5ljIU8TKHLLW1/evd66rY/eePPE/LeJOGMnwVDAqnPDxs5aaNKMbU7K6i7czvZ3S7Xfwv8AAPwl8M/g7+3J8IdA/ZA0fTdJi8QaPqCeP9K8IQxNZ3fhqGxd7O9vAhIBW9NskFwfnk+0TLucbsfojXxD/wAE5v2cvgX8AvjNo8/wa+F+l+HpNc+GF3Nq8tijl7p1n0kqWZ2Y4BdyACACxOOa+3q9/g2Dhkqd73lJ+nSy+6/qz8342zOjmWZ01TlKfs4KLnOynN80pc0rSltzckfel7sY69EVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7Ixmuir84/wDg5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA+7mWKjgsBUryjzKK27/8AA7+RzcE5DW4n4sweV0q3sZVZpKf8ttbrb3tPdV1eVldbn2h+yn8Mf2Ufhr8IYNA/Y/0jwpF4Mlvp7iF/Cd5Hd2k1yWCyuZkd/MfKhSSxICBeAoA9JjggiOYoUUnqVUCv58f+CGvxu8ceE/F3i/4d65+0fqngrwMNK/tAW8Xia30+CTVWlhjVlM4OXMKyZCdQi7ui1+qXwf8AjMPEF03h/wCHX7R1141vI7hbgxDxPBqM0WcIARByIz6MMZJr5PD8aYKOHjH2Ek9FaKVvl+mnkfU+InAeN4Y4vxOBq4v27TUvaSb53zJS9+9/e111ffrY+v6KZAZmgRrhQJCg8wL0Bxzin19yndXPy4K/lK+PfxU/abb9sfXvit8V9a1ez+Kmn+M/tN1c3kYjubHUbeYeUqocqgiMcaoo+QKigfKBX9WteJa/8Df2B9S/bD074n+I/DfgF/jatosunPc6hCNZkiSB0WZbYybpCsKuBJsJCpwQEGPneIcnq5tCkoVeTll163/VdPV6n7J4P+IuC8Pq+YTxGBeJ9tSsrJXjy3dpX2pSv+8evwxdmfKl74/+D/xR+F0Hg744ftoTa1ZarpNunifQNS+JtmttdsURpoJhCUJjLhlZAwDLlTkEg9T+xpofhz4Zf8FBrn4d/s3aXbab4Wvfh1NffE3QfD1rEumWWoLPbppU7rH8tvdSwm7BUbTJFCjkNgNX01+2v4f0TW/2R/iNouraVBPaXnhG9guoHjG2SN4irKcdipI/GvKP+Ce3wH+Dn7PfxT8eeDvgn8O9O8N6Zc+H9Furm105GxLMbnVF3szszMdqqBk8AcYr5+nlWIwPEmFhUxEqjak7u97JPTd6PqfOYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+Pib48+Mdei/wCCjer+H/if4jubLS7P4b2knw0sLyRYbO6EksravNESR506GG0Djkxxc4CnJ8U/Zg/aK0PV7Xx4mo/tu6lpOh2nxN1eHwbbJ410+yjOm7o3LRIVy8X2p7sJIc70CkEjBP6CftDfssfs9ftX+GLPwb+0T8KNK8V6dp179rsbfUkbNvNsKF0dGVlyrEEA4PGQcDHX+HfCXhfwl4fsfCnhjw9Z2GmaZZxWmnWFpbqkVtBGoSONFAwqqoAAHAAr4zE8MYyvmdXEwxLgpdr39HqtF0Puq/EuSzyWFGOGvW5YQldRUIqCtzwesnOpZOd0rPm1lzLl+W/2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3Pkcbi/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/yOqpinUwsKNvhvr6hRRRXqnKfm4/xK0tbT9orVf2lviJc6brdn4y1208RJq00UE2l6IFaHSFtomwPJks2ikhOCJp55eWckCr+z5+0FD41/Z28Iap8cf26tSXxFqvhe1k8T2F18QtPhBnkiBljeIKNmc4K8EZI4Nfb/AMUf2Mv2WfjX8V9C+OXxX+B2g674t8NeV/YmuX9sWmt/KlMsQ4IDhJCWUOGCkkjGa9KNnaE5NrH/AN8Cvh1wpjvrNWpHFuKk76Xu/wDFqtV8z73NuJ8kxeEjHD4X95JxlLmUVGHLHl5KVrvkbbk7qL0hGzcXKXg37K3g7SdR8YW/xM0GYPptl4Yk07TJbSRXtZobiS1lBRxnfhbZMEHGG5zkGvfaRVVBtVQAOgApa+lyjLVlWBjhlLmtfW1t3fbU+MxmJeLruo1a4VjfEL4e+Cfix4H1X4a/Ejwxaa1oOt2T2mq6Xfxb4rmFxhlYfqCMEEAgggGtmivSlFSTTV0zCnUqUaiqU21JO6a0aa2afRo4n4F/s4/A39mfwGvwx+BHwy0vwzoS3cl0dO06E7XnkxvkZmJZ2IVRkknCqOgAHZxwQRHMUKKT1KqBT6KUIQpwUYKyXRbF4nE4jGV5V8RNznJ3cpNttvq29W/NhRRRVGIV/Kh8bfjH+1Vp37aGvfGH4i+KNd0v4s6d4wea6vpf3F5Y38UmxEVeiKgVUVB8gQBRla/qvrzLVv2NP2W9e/aCtf2qtY+B+g3HxCs0VbfxTLbE3C7YjErEZ2s6xnaHKlgAuCNox89xBk1fOIUlTqcnI79fv06rp6vVH7B4R+JWW+HNfHTxmD9uq9NRW101f3Xf/l3O/v2u/dj7rPkPR/jH8O/EfgqwsPiZ+25NqTXelwDXtH1L4jWDW9xI0amaGRExlC24FQRxxmvqf9l/wabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP8A59Iv+/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ+bYvNIYijKnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/AIKu/sRftS/tCan+zL8G/idd33iWwW+axkutCuraw1tbKbybw6ddyoIb0QSHbJ5TNt5PIBNfR1fip/wSt/Zv/aZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wUT/Zg/4J+aV4c1b9pLxFq9knirU/sOkR6P4eub9i++KMvIYUZYYw80K73KgtIoGScV7lX59/8HH/AIt1aX9g2L4KeD/hH4/8XeIPFfi7RrzTbbwP4GvtYWGHTtWsbq5Nw9rG4t/3QYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/7IH/BTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/AFCLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/BGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/ALZv/BUX9kz9gnXrLQ/2i9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv+Di+wuPjn8Lov2b/AAP8Cv2g9e+JEVlb3/wyl+Hui3dx4T1i/mvoM22sbCbSVIfsqOUvVCqspMZO5q/ST4exeJ4PAGhweNbe1i1lNHtl1eKyUCFLoRL5qxgcBA+4DHbFAGxRRRQAUEhQWYgADkmivE/+CjfhD9pb4hfsR/EX4f8A7IUUL/ELXtAbTtD87VEsSqzyJFcMlw4KwSi3aYpIQdr7Tg4xQAv7Gv8AwUF/Zf8A2+YvG93+zD41uNdtfh/4sm8O6/evp0kMLXkYyTA7gCaMjkSLwQQR1r2uvzK/4N9fhZ+0l8E/i3+0z4D+K37Ev/CoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wVA/Z1+Gf7VU37HFz4Q+JWu+MrN9KGqnwl8NtS1Ww0xdRJFrJdXVtE0VsjAOS8hAAjck4U4+jK/Jb/gqh4A+IWlft2v4/wD2FPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf+Pnx18aWvh7wn4YsDd6zq13kpDHkKAAoLOzMyoqqCzMwABJFc/8AspftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/8ABwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/7Qcfw6+LFz8RJ/iw3w3n+J0zfBQfHB7pvEo0b7NF5puPtn+kiI3Pm+WJfmwGx8uKAPuWiiigD//Z", "info": {"equation": "80/16=5", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "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": "<think></think>"}], "extra_state": null, "hash": "b8582244cb5ba960aa24ef581a2eef4546915c0feb7afa97a79480bf4923dede"}
+{"episode": 86247, "episode_seed": 4207537230, "split": "train", "timestamp": "2025-10-28T03:51:06.665528", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4207537230, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 0, 6, 1])</answer>", "action": "('move', [5, 0, 6, 1])", "reward": 0.0, "image": 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6Kq80+P8A+xz+y/8AtT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rDP8qq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+ZX7CPxN+J3xC/4J06r8RvjZ8Rb+41tvEsHn+JL2/QXENtAdNjt5Wm6K0cEcfzv8w2ZfJya/RX9mjx/rfjzVxq2k+MT4h0SeyJ/tOO9W5hkKEIrpIhKFiVIO3r83GRx5D8a4IIPib8QbeGFEjX4i+H1WNVAUD7PoYwB6V9kIiRrtjQKB0AGK+V4fyitLMqs/bu1KpZr+drq9evz3PB4mzmlmOLq4qNCMFXcpqK2gpS5uWOi0jey222Fooor9FPjT4y/4L3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj/8A8EXPin4u+H/7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6Q9b0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZBXzHM6denX5LK3W6/wAOq3vrqftfCfiXgch8MMx4eqZf7WdaV1UsuVcyS/eNpvmhy3p769rXfylr/hj9kf4+a+NR+LXxV0L4pXem6PdR20XjDxda6pHplmwBuZYogwSDIC759oZQifOu0V9A/wDBKbXvGev/ALI1q/iPU9Tv9Gs/E+rWfgHUdXTE934ciunTT5N3WRPJAVJDy0aockEMcD/goV+zv8EP2gfiz8OvDvxo+Gem+IrGw0PXbmztr4OFilNxpSlxsZSflJGDkc9K9i/YwtLWw/ZT8A2FjbRwQQeGreKCCFAqRoq4VVUcKAAAAOABXBkOBq4PiPEU51XNxirt9b2eur22Wp8fmWd0a/CFLCLmlKU72lbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/98Cv5kP+Cr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8Fx/F3xy8Tf8ABST4gWHxtl1FY9JvxaeELa9i2RRaMButjAB8pRwzOWH3nZ8/NkD+lOviT/goR+zj8Cvjf+0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/4Jqa/wDGPxR+wb8LNe+P1vdxeLLjwnAdSF/aiGdkBYQPIgxtdoBExyASWJIBJFe41znweYt8JPCzMck+HLEkn/r3Sujr6fDwdLDwg3eySu93Zbn5hmmMjmGZ18VGmqaqTlJRj8MeaTfLHyV7LyQV/KV8e/ip+0237Y+vfFb4r61q9n8VNP8AGf2m6ubyMR3NjqNvMPKVUOVQRGONUUfIFRQPlAr+rWvEtf8Agb+wPqX7YenfE/xH4b8Av8bVtFl057nUIRrMkSQOizLbGTdIVhVwJNhIVOCAgx4XEOT1c2hSUKvJyy69b/qunq9T9W8H/EXBeH1fMJ4jAvE+2pWVkrx5bu0r7UpX/ePX4YuzPlS98f8Awf8Aij8LoPBvxx/bQm1qy1XSbdPE+gal8TbNba7YojTQTCEoTGXDKyBgGXKnIJB6T9jHwr4O+F//AAUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/wBtfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8ABz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV8/DKsRgeJMLCpiJVG1J3d76J6at6PqfOYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+CiiigD53sfhV/bPxuhsTpEtill4vfXZhbKQhkE0kxclgfld2JPqScYr6IoorysqyuOVwqRU3Lnk5a+fT/AIJ1YvFPFSi2rWSQUUUV6pyhXmH7T2hDVdD0bVG0dbgaZqTzx3OCWtnaF4twxwAUkdST6j1r0+iuHMsH/aGBnh+bl5la+9jfDVvq9eNS17HEfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oorfC0FhcNCindRSX3KxFWo6tWU31bYUUUVuZnzx8TfhY3i/4yX2ivo8tr/a+u2F/cz2inMwtzbbZSWBH3LaND24xwa+h6KK8rLcrjl1StNTcvaSctel+nn6nXicU8TGEbW5VYKKKK9U5D4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUKKKKACvCP2mPBEmv+OWki0N/N1fQl0wXlujF5UDTEJ3GVM0jDj+Ik5Fe70V5eb5Ys2wTw7nyptO++x1YPFPCVvaJXM7whoUfhbwnpfhmKR3XTtOgtVdyCzCONUBOOM8dq0aKK9NKysczd2FfyofG34x/tVad+2hr3xh+IvijXdL+LOneMHmur6X9xeWN/FJsRFXoioFVFQfIEAUZWv6r68y1b9jT9lvXv2grX9qrWPgfoNx8QrNFW38Uy2xNwu2IxKxGdrOsZ2hypYALgjaMfP8QZNXziFJU6nJyO/X79Oq6er1R+v+EfiVlvhzXx08Zg/bqvTUVtdNX913/5dzv79rv3Y+6z5D0f4x/DvxH4KsLD4mftuTak13pcA17R9S+I1g1vcSNGpmhkRMZQtuBUEccZr6n/AGX/AAabbXde+JLtNnVbCysY9wHlukElzJvXjJybkgnJHyj0NevfYrP/AJ9Iv+/YqQADgCufAcN1sJmEMVWxMqjinZNd1bdyZ+bYvNIYijKnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/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=", "info": {"equation": "14+5=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "14+5=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "4056b41d388ef87854d10e63de26fa8745bdd5ca12ca5839a95e11c56d5ecb04"}
+{"episode": 86248, "episode_seed": 3408694933, "split": "train", "timestamp": "2025-10-28T03:51:06.737948", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3408694933, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 1, 2, 8])</answer>", "action": "('move', [1, 1, 2, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "15*13=195", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "15*13=195", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "f5d78955e67783bd3b888512e49bbb04397d9ea19d8b3edfb56e5a0a7381b9a3"}
+{"episode": 86249, "episode_seed": 2605732559, "split": "train", "timestamp": "2025-10-28T03:51:06.785180", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2605732559, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 6, 1, 8])</answer>", "action": "('move', [4, 6, 1, 8])", "reward": 0.0, "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": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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r1Ciiv0ClB06UYN3skrvd+bP58x2JjjMbVxEYKCnKUuWOkY3bfLFdEtl5BRRRWhyhXiP7Q1h4atfFcUmktt1CaINfwxINnJOGJByHPcY5GDx39E+JvxQ0rwDZG2+aXUJ4WNrAnQdgzHsM/ng4r5N8b6b4/wD2i/inB+zd4Jv7y1l1q0/tP4g+KLdxE2k6K8pidI2aJ1N1dESxRLgFVjmkyPLGfieKMXTx0o5XQip1ZNX/ALv/AAbfh6o9zKqMqCeKqO0Uvv8A6/M47wH47+GH7QX7V3hLwx8T7eRvhpZ+ILiz8M3NxBbvpnijxXarKRBPIZiTBEFdrdPL2z3MDZb91Esn6G18q/Hr9kz4faH8PF+DUGgCDwZcadHZaZDaKqvYeUFMZjO3EcqMqyI+M7lz1Br1D9kP4g/EnxJ8OovCHxpvbe98UaIghutatpkKazEPuXYRUj8tyMCRNgCuDtLKVJXDGKp5fWnldeKhUT0/vf0tV3QZpSliIRxVN3jb7j1qiiivtzwwryr9uPX/AI5eFf2RfiD4i/Zqsbq48d2fhueTw1DZWi3ExuBjmONgQ7hdxAwckDAJ4r1Wis6sHVpSgna6aut1fqjrwGJjgsdSxEoKahKMuWWsZWafLJdU7WfkfyC+L9f8WeKfFepeJfHWrX19rd9fSz6te6nK73M1wzEyPKz/ADFy2ck85r9oP+Cf37THi3xf+yZ4V139oT9uHVtK8SyRTI1hJ460+zaK0SVltgYduU/chPvfMep5rb8dfscfst+N5vi58bvGHwO0PUvFa+M/Gk/9s3kTu5khv75YmKFvLO0IoGV/hBOTX6JfA21tpPgp4PeS3jZj4W08klAST9mjr8ryLJ8TjMXiKdPESp8js2r+9q1rqu3nuf0Z4ueL2T8aZHgsNh8v5HF8zlPlbj7tuSm0n7jvq3y35Y+6rHwvD8NP2OvjV8Q7rxn4v8V+Hfip4pOlmFrvxV4ittcmtLFSuUihZjHBEGwSyxg7nJLZc567/gkjq+q2Xxb+LHw2+Dur3uofArQXsF8DS7hPptlqjq7X9np9zljLbp+6bAZlV5G5BJFSfty/sxfs/wD7Q/7Zn2f42fCvTPESaT8L9NbTVvTIvkGTUtRDkeW65yEXrnpxXrX/AATV8IeFvh/8I/FvgjwR4ftNK0fSviRqdtp2m2MIjht4ljt8Kqj8ST1JJJJJJruyTA1MNxXUpSquTgm2/wCa6W+r7366o/NcXxDQ/wBTZYdyqVJVVGKhO3s6SjLmUqfvSblZcq92nyxnNapn0TRRRX6UfmQVk+O/Dngrxf4L1Xwx8R9J0+/0C+sJYtZs9WjR7aW2KnzBKH+XZtznPA61rV+Y/wDwc3/EH9qHwh+zt4Q0D4TXGr2vw91y8vrf4k3ulw/IW/0b7Fb3Eq/MkMha4BXhHZVVs/Kp4MzxkcvwFTESjzKK2XXp93fyPquCOHK3FvFeEymlXVGVWVlOX2bJy07y0tBXV5NK6vc+tf2MfgF/wTW+Geua7r/7DehfDhtSltIbfX73wdrcOozxQMzNHG7rLI0SOyMduVDmIE52DHv/ANis/wDn0i/79iv5QP2S/jD8c/gn8c9G8T/s9fELU/DevXc62DXum3iQ+ZbysqyRymT92Yzwx8z5VKq3BUEfuhP8cfh15riH/goLqZTcdp/4Wbp/Tt/DXyGB4zwNPDqMqDj5QSt+h+leL/hjmPCOe0nVzB4r20bqVRv2q5bK0ruWn8jvrZq3u3f3ikUcQ2xxqo9FGKdXzN8Jvi14m8d3Onap8OviQ3imJGS1F3a6ml3DPsKhhK8RKZzje3BG7tmvpmvpMmzqlnMJypwcVF2163/rVdD8YxmCngnFSknfsFFFFe0cQV+dWi+OvFus/wDBQ74uaR+0b4r1G28S6ffrp/wr8PawyW1q3hd184T6dHkC4eWWBjPIu9h9liDbduK/RWvj/wD4KS/Ab4O/tB/HP4WeEfjV8PrHxFptr4W8U3dvaXxcLHOtxoaBwUZTna7jGcfN06V8vxfh5VsmlNSa5Gnbvraz++59dwhmOAwmKrYbGQbhXhy88VGU6bUlNOKk0ndx5ZLmi2n8S2fLfsT/ABH8ZeJv+CkXjrRvhR4mutb+GzeAbd/G1xbRQzabY+J4pYoraGK5QZ85rPf5sYY7TGu4KQM/Pf8AwdDePv2nND8M+CfBPha41i1+FWrwSHxLLYw7bW61NZd0MFxIvJARd6xthSy7gCU+X7I/4Jr/AAx+Hvwd1f4p/Dz4WeD7HQdEsdf0o2um6dFsjQtpVuzMepZiTksxJPc12H/BSbwx4f8AGv7IGueD/FelRX+l6r4i8N2mo2U+dk8EmvaejocEHBViOCDzwa4cLg51eDeRVGrxcvkteX00t8z6rJeMcq4c8RsLmlLBqpRoWhyySUpaNe1e8VUu+aO9rKPM7cx/P/8A8EhvFP7RHhX/AIKA/D2X9m20vrjVL3WoLTX4bKyWdW0V5oxfGUMCFjWEFi5xtKqQc4B/p1r4O/ZX/Zg/Z8/Zz/a+8CP8DvhLpHhp9U0zXl1CawjcyTqkFsVUvIzNtBJO0EDPOM1941rwTSccqlPmbvJ6dFbt69Tq8auO8Bx5xNTxWEw3sowgo3dueet7ztde7tFXemt9bIooor7E/HT4g/4Kk+NPFmh/tEfBzw58RvE+oaJ8Gbqe7uvEd8pWDTrjXYCkunW9/ckjy4cq8gVmVGkiTOSAK8W/4KD/ABvHw5v/AIbJ8M/jhJ4b8eHxxafYotK1G1SY6XcBor2Sfzs+TD5AfbKdoLrgHPFfpf8AET4d+Bfi14I1P4bfEzwpY65oOs2jW2qaVqMAkhuIm6qyn3wQRyCAQQQDXBfs8fsO/slfsn3mpal+zv8AAjQvC11rESRald2MLNLNGhJVC8jMwXJztBAJAJBIGPjc14YxWPzX61CvyrTveNl9n/h0fo2VcVcPYXLMOsThnKtQi4qCjD2VW8pSUqrb5k1zWkuWfPGMUpQ3XzDN8cPh2XdY/wDgoLqe3JCkfE3T+n/fNdD4U+GXgb4z/DCL4WfDTVIrzw9f232KG+0C8S5SOMSAOwlG9Mhgck5AJINfZ/2Kz/59Iv8Av2Kekcca7Y0Cj0UYrKfCFetOLr4uU1F31Tf3Xk7Hysc4hCLUKKV/67C0UUV9ueGFFFFAHIfEr4Rab8Q7iHUf7Sezu4Y/LEqxB1dM5AYZHTJxgj7x61r+CPBml+BNCXQ9Ld5B5jSSzSY3SMe5xx0AH0ArYorhp5bgaWMliowSqS3f9afM3lia8qKpOXuroY/jjwXpnjzQm0PU5HjHmrJFNFjdG47jPHQkfQmsj4a/CPTPh5PNqH9oveXc0flmZogiomckKMnrhc5J+6OldfRRPLcDVxkcXKCdSOif9afPcI4mvGi6Sl7r6BRRRXcYBXlP7cev/HLwr+yL8QfEX7NVjdXPjuz8NzyeGYbK0W4mNwMcxxtkO4XcQMHJAwCeK9WorOrB1aUoJ2umrrdX6o68BiY4LHUsRKCmoSjLllrGVmnyyXVO1n5H5w/BTx9+zxY/sbwa1N8Yo7jw42hSr4o8Q61rEZvjfXUZkuzdmRvlvnkmZjE+GLyAbeQK4z9hj9pHVfEv7Mmgar8ZP26tbsNV826itLa88cadYyjT453SzLwbAY2NusZIIB9RX3J4l/4JvfsK+MPjM/7Qfib9mDwreeMJdTj1GbWJrM5lu0wRM8QbynfKhixUlm+Y5JJr2k2doTk2sZPugr4TCcH4+hKbWLcLv7N7v11Wv3+p9znPE/D1fCyhhMPKc6k1OUqignTspe5BxvzJuTcpWhflj7isfEHw/wDFXwt8VeLrrUfD/wAcoPG3iKfT44Zrm48U2+o3iWcTsVjAiI2xLJMx+796Xk8gV9NfsvfDE/DPwNqXm/alm1/xHdaxPFdgBonm2LtAwCFxGMA5PPWvRktreI7o4EU+qqBT69jKOHJZZjpYqpXdSTVtV6bu7vsfH4vMliaCpRgopP8Arogooor6c8sKzvF/hDwt4/8AC+oeCfG/h6z1bR9VtHttS03UIFlhuYXGGR0YEMCD0rRopNJqzKhOdOanB2a1TW6fdHkv7PH7CP7IP7KGs6j4j/Z5+AWg+F9Q1a1W2v7+yhd5pIVbcIg8rMyoWwSqkBiqk52rj1b7FZ/8+kX/AH7FSUVFKlSoQ5KcVFdkrL8Dpx2YY/M8Q8RjKsqtR2vKcnKTtorttvRaIakUcQ2xxqo9FGKdRRWhyBRRRQAV+dWi+O/Fms/8FD/i5o/7R3izUbbxNp9+un/Crw9rDJbWzeF3XzvP06PIFy8ssDGeRd7D7NEG27cV+itedftE/slfs3ftZ6Jp/h79o34PaP4stdJumuNMGpwtvtZGXa2yRCrqGGNyg7W2qSCVUjxM/wAqq5vgvY058rTv5PyZ9Rwxm+XZXUr0sbTbhWhy80VGU4NSjJSipNJ3ceWS5otp/Etn+dVv+0bp9t/wUN8R+FPBH7Wt3oHguTwNDc+LxpviaxtLNNfjkjggSOdwS7/ZkYSICdrJhgpAr13Ufir8FPEMUVh4z/bRHiCwju4LltK1r4i2MttLLDKs0LOi7S2yVI5Bz95FzkcH7T+EHwO+EXwC8AWXws+DXw80vw74f0/cbTS9NtgsaMzFmY5yWYkklmJJ7mum+x2f/PrH/wB+xXg0uEcdHDqm8ZJK1rJO3p8S0+R0ZxxDleKxcXhMKowhFRTdlOVvtzsrcz7Juysrytd/PnwR+GL+I/jDovxNnF0i+GrK/jgZVAila6SNGDEjkgRggAjGea+h6MAdBRX0mTZXHKMEsOpc2rd7W38tfzPmcZinjK/tGrBRRRXqnKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQBmeM/GXhT4d+EtT8e+OvEFppOi6NYy3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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": "<think></think>"}], "extra_state": null, "hash": "25b8649a68049e67662f8ff3ed618a37ddb21420ff5457489316339ac4eba4dc"}
+{"episode": 86250, "episode_seed": 1735004949, "split": "train", "timestamp": "2025-10-28T03:51:06.845700", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1735004949, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 5, 1, 0])</answer>", "action": "('move', [3, 5, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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VKNWpKSiumvW3V7yfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rox2MoYDCzr1X7sV9/Zer2PnaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/AM/68z3+iiiv0M+dPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yHEZjmdOvTr+zsrdbr/Dqt766n7Xwn4lYHIfDDMeHquX+1nWldVLLlXMkl7RtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/AASXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACuDIcDUwfEeIpzqubjFXb63s9dXtstT4/Mc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/AIKv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/wDBzJ4u+OPhv9ibRdM+G02oweF9W8UrbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jlc78W/C/wAMfGvww1/wt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGaeZYWWNwFShGXK5K1/66d/I+g4Jz2jwxxZg80q0fbRozUnDv00/vK94/3kj8Cv+CGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/w196+N/Av7E3xgj8QeP/AIv/ABE0Dx/eWuhCLU/EniPxVbajdaPYI+5PJcMBZgSncGQIWdsFjnFfa37Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/wCCgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rw/isuyb2ssS5RVvdV+XV9NfPsfpHEHHuC4n8Ra2Z06NTBxlo3BL23upL3lzQXNJpc3vPl00k1r7t/wTv8S/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/wBe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BRRRWxxHwV/wcZ+LPjl4V/4J33KfB6XUYtN1LxPa2Pjy406LJTR5Ip9yyMOY4nuBbRsR94PsPysQfib/g1z1/4xW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv/BPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+JhRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgooor1TlCvMP2ntCGq6Ho2qNo63A0zUnnjucEtbO0LxbhjgApI6kn1HrXp9FcOZYP+0MDPD83LzK197G+GrfV68alr2OI/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRW+FoLC4aFFO6ikvuViKtR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzIrWytrOyj0+3iCwxRCNEHQKBgD8q5LwR8GdG8E+Jp/EdrqEk+5WW1heMAQK2M8j7x7Dpwe55rsqKmtgcJXqU6lSCbp6x8ghXq04yjF6S38wooorrMj4y/wCC9/i/45+DP+CbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/2Ys82V3CSQAbfmIYjpnH9IGsaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/wCzZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/4a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/wBcfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/wB8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/ANdOj8j6fgvP6HC3FWDzatRVWFGak4PqvK+nMvii+kkmfgP/AMENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAr5CHBuKlhlRq4t8vWKTcfleX6fI+p4/4/wHFvFuIzbC4RUozsle3M7JLmlZW5nbWzfa7tco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX3aVlY/MG7sKKKKYjmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/wBmLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8AP8jqhinDCSoW+Jp3CiiivUOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//BV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8AHHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/AIKJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/8Ag4/8W6tL+wbF8FPB/wAI/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv8AugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/ANkD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f8AgjN8UdY/ar/bL+LH7a37Rnwb+Jvg/wCLPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/AFXRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/AOGUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/8AZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv/t8xeN7v9mHxrca7a/D/AMWTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8ABvr8LP2kvgn8W/2mfAfxW/Yl/wCFQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/8AsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/wDHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP8AwQ2t/wBoOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//9k=", 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VKNWpKSiumvW3V7yfWTbCkdEkQxyKGVhhlYZBFLXEfGr4hw+FNDfQbGRv7R1CErDtA/doThnP6ge/0rox2MoYDCzr1X7sV9/Zer2PnaFGeIqqnDdny7+1t4+/4VtpGp2HwxhurzVtXvprDwzb2dvFJMHEbyzSxxvLGsghhjmkALgMY0Bxur6m/Z10X4ZeH/gR4R0v4MyRSeFl8P2r6HPCVP2iB4w4mYj7zybi7t1ZnYnkmvnf4J/BnUPjA/iL9pC+tpVXTjcaJ4Bt3cc2sMwW/utvlhlaeeHYnzHMdtGwwJCD3n7FB1jwJP4g+Ekxjfw+dRl1bwntkRTZRzsJLmy8sIuFW4eWVDl/km25XywD8Pw1N5djuTEQUPrC5ov5v3fue3p3PczNLE4e9OV/Zuz/AM/68z3+iiiv0M+dPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0fa3peja3ot5oviKwtrrT7y1kgv7W8jV4ZoXUq6OrcMpUkEHggnNeSfsb/B79hv4XeCtWg/Yg0fwQuh3uqBtZufBuqRX8cl0sa4SSZJJDuVGUhC3yh8gDeSflM4yHEZjmdOvTr+zsrdbr/Dqt766n7Xwn4lYHIfDDMeHquX+1nWldVLLlXMkl7RtN80OW9PfXta7+Ute8MfskfHvxANS+LPxV0L4o3mm6PdR20XjDxda6ommWbAG6kiiDBIAQE3z7QwCJ867RXvf/AASXvvEl1+x1Y2N/LeTeHdN8SatY/Du6vrdY3n8Nw3TppzjGN8fkgBHP3o1Q5IIY43/BQr9nf4IftA/Fn4deHfjR8M9N8RWNhoeu3NnbXwcLFKbjSlLjYyk/KSMHI56V7F+xhaWth+yn4BsLG2jggg8NW8UEEKBUjRVwqqo4UAAAAcACuDIcDUwfEeIpzqubjFXb63s9dXtstT4/Mc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/fAr+ZD/AIKv/ED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/wDBzJ4u+OPhv9ibRdM+G02oweF9W8UrbePJ7CP5Tb7N1vFM45SJ5gPQMwRSeQD+jlc78W/C/wAMfGvww1/wt8adO0q78JXmkzp4jh1tlW0+x7CZWlZyAiqoLFyRt27sjGaeZYWWNwFShGXK5K1/66d/I+g4Jz2jwxxZg80q0fbRozUnDv00/vK94/3kj8Cv+CGHxe8UeDfHnjTwdq37QN94H8Hz6Ol7N9n8QW2nJcamJoo4vnmBLnyfO+VeMAE/w196+N/Av7E3xgj8QeP/AIv/ABE0Dx/eWuhCLU/EniPxVbajdaPYI+5PJcMBZgSncGQIWdsFjnFfa37Kfwx/ZR+Gvwhg0D9j/SPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/wCCgv7NfwF+NX7Ql94h+LHwq0nXrzw98M7ObRpr+NiLZzdam5IUMFcFo0OGDD5enJz+d5rw/isuyb2ssS5RVvdV+XV9NfPsfpHEHHuC4n8Ra2Z06NTBxlo3BL23upL3lzQXNJpc3vPl00k1r7t/wTv8S/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/wBe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BRRRWxxHwV/wcZ+LPjl4V/4J33KfB6XUYtN1LxPa2Pjy406LJTR5Ip9yyMOY4nuBbRsR94PsPysQfib/g1z1/4xW37VHjjw34dgu38D3XhBZ/FDrbBoI76OYCx3SEfI5V7sKoPzAPwduR+vv7bOladrv7I3xG0PWLNLi0vfCF7b3dvJ92WJ4irKfYgkfjXkv/BPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYr4zMMNJ8XYafO9Yt+nKnp6Pr8z9syHxEy/LfCDH8NTwalVqzup6W95x96XXnhb3GvLa2v1XRRRX2Z+JhRRRQB872Pwq/tn43Q2J0iWxSy8XvrswtlIQyCaSYuSwPyu7En1JOMV9EUUV5WVZXHK4VIqblzyctfPp/wTqxeKeKlFtWskgooor1TlCvMP2ntCGq6Ho2qNo63A0zUnnjucEtbO0LxbhjgApI6kn1HrXp9FcOZYP+0MDPD83LzK197G+GrfV68alr2OI/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRW+FoLC4aFFO6ikvuViKtR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzIrWytrOyj0+3iCwxRCNEHQKBgD8q5LwR8GdG8E+Jp/EdrqEk+5WW1heMAQK2M8j7x7Dpwe55rsqKmtgcJXqU6lSCbp6x8ghXq04yjF6S38wooorrMj4y/wCC9/i/45+DP+CbfivUPgZNqMMlzf2tp4qutLi3SwaNIXW5JI+ZEJ8tHZeiO2cKWI/IT/gi38Y/Hvw+/aYufB1n8ddS8FeD9Y0iefxRLa67DYQyvDG/2Ys82V3CSQAbfmIYjpnH9IGsaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/wCzZ+yjoOoeGf2ePg9pHhWy1W7W61KLT4mJuJVUIpd5GZiAOgzgZYgAsc/K5vw/isyzGGJp13BJW0vdelmt766r5n7Pwr4oZXw/4a5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/wBcfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/wB8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK/OP/g5k8XfHLw3+xNoumfDafUYPC+reKFtvHs9hH8pt9m63imccpE8wGezMEUnkA/o5WN8Qvh74J+LHgfVfhr8SPDFprWg63ZPaarpd/FviuYXGGVh+oIwQQCCCAa4sywksdgalCMuVyVr/ANdOj8j6fgvP6HC3FWDzatRVWFGak4PqvK+nMvii+kkmfgP/AMENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAr5CHBuKlhlRq4t8vWKTcfleX6fI+p4/4/wHFvFuIzbC4RUozsle3M7JLmlZW5nbWzfa7tco+ENCj8LeE9L8MxSO66dp0FqruQWYRxqgJxxnjtWjRRX3aVlY/MG7sKKKKYjmvjHoKeKPhbrvh2bR01CO906SGWzcMRKjDDDC8k7c4A74rg/wBmLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8AP8jqhinDCSoW+Jp3CiiivUOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//BV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8AHHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/AIKJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/8Ag4/8W6tL+wbF8FPB/wAI/H/i7xB4r8XaNeabbeB/A19rCww6dq1jdXJuHtY3Fv8AugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/ANkD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f8AgjN8UdY/ar/bL+LH7a37Rnwb+Jvg/wCLPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/gqL+yZ+wTr1lof7RereKbNLizivL/AFXRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/AOGUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/8AZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv/t8xeN7v9mHxrca7a/D/AMWTeHdfvX06SGFryMZJgdwBNGRyJF4III617XX5lf8ABvr8LP2kvgn8W/2mfAfxW/Yl/wCFQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/gqB+zr8M/2qpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/8AsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/wDHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP8AwQ2t/wBoOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/SREbnzfLEvzYDY+XFAH3LRRRQB//9k=", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "6dea746d0243dc248e1f41156e0f86227af464e5beb3dd05fef3af0aff1afa2c"}
+{"episode": 86251, "episode_seed": 3282498394, "split": "train", "timestamp": "2025-10-28T03:51:06.913879", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3282498394, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 0, 1, 7])</answer>", "action": "('move', [6, 0, 1, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "6+3*2=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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ZjeBpGLEszEKoySeFAHAr6er6XhaLjkVHW97v8XofnHF2YUsxzuVSnzNRjGPNK3PPlilzSs2rvtd2SS5na7K/lo+NHxl/aw0X9vjxd8TfEXirWtJ+KH/CWX9pf3UjLBcQM2+2a3w3yLF5B8oKfkEeAPlxX9S9eMfGL9k79nCLxF4u/apj+Duij4hy+Dr+0fxX9nP2oxfY3i6527vLAj343bPlzjijiDKK2awpezqcnI7/APB9V09XqfY+FviHl3AP9orFYNV/rNL2cdtHr7sr/wDLud/ftd+7HRngHhvxxb+D/jXZ6VB8RDpF1qvgSygsdJGqJCdSKzzsdsZw8rxgcbOVDtnrX2j4GuNauvB+nXPiFGF69ohuN4wxOOpHYkYJHrmvB/2OERviRqrMgJHgTRcEjp++va+ja83g7AVKeDji3VbU00o9FaT8/wBFuz4DOK8ZVnR5VdPfq9Arw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX11em61GVNO101dbq63+RyZXjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav0P+P/hT9jz4n/Dnxt8TfiH8T9N8b61p3hYqnirUPEdtqmp6OI972a2hU/uH+0kGNEUGWVtp37ttfbf7K3wa/Yk+F/8AwlX/AAx/4d8EWv27Wv8Airv+ERvYbjbepuxFNsd/KZNz4i+ULubCjJrwH/gol+z/APBT4l/G7UPiB4++GmmatrPhb4bWk/h6/u42LWMn2nU33KAQpO5EYbgcFQRX5lmPD2Jy/KOeWJcopr3Vfl1drrX57bn7fxT4j4HinxE/tWnh6mFioRT5bKrLlV/e1SXM7RveVoKL5ZW5T6v/AGfdS+IesfATwRq/xctZIPFl14Q02bxPDNAInj1FrWNrlWReEIlLgqOB0rr6KK/UIR5IKN72PwjEVVXxE6qio8zbstld3svJbIK+av2zPFujfDWfUvFulWhur9LKJY9OQIPtV/K4itoVyygtJI8anJH3s5r6F8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5e8P+AdS/aW+Pd5NrKSf2b4NtDqskhYKk+uXKulmhBjO5YIPOkbDDDTwHBI4+S4qf11U8vpRUqknzeiinr89l8z0spXsXLETdorT1b/AMj1v9iPT/Cdl+y/4UuPCczTfbrN7vWLqaBI5p9Ukldr5plRmCy/afOVl3NtK7ckKK9Wr5//AGR4ta8DfEHxX4HlC/2LrNz/AGvYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/Bb/g5u8UfGW+/bc0Twn4vmv08Haf4Sgn8GwPHttWkkY/a5UI4aTzERWJ+YBIxwMZ/emvlX/gox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rz+LaTqZHUaduVp+uqVn99/kfoXhFxfhOCeNaWZYmh7WPLONlbmjzL4o30vpZ6r3ZSPlv9jT9oFfiB+yD4Mu/wBoj9trUf7Y1LQWj13R9U+IFlCJIDJIiRSxn5wGtxGGDHcQxJOSa+7v2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc9X+zxZWf/CgPA3+iRf8idpnAjH/AD6RV2oAAwBgDsKxyzh6thcZTxdXEyqcqdk13Vt23/Vj5XPM8pZpi8RUp0I0lVnKXLHaN5OXKtFotl5BRRRX1Z84eP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2CiiitSD+dX/g4J8WfGrVP+CmniTS/iHcaimnaPYafH4EhmjKRpp7QI5eADhg1ybjL8kspU/dAH71fsoav8UPEH7MPw8134221xD4xvPBWmTeKYru3EMq6g1rGZw6DhG8wtlR0ORXzP/wAFJvgL8Gvi78V5/FfxO+HOna5qHhb4aSXXh+5v0ZjZTeddNvVQwVjujQ4YEfKOOtfadiS1lCzHJMS5J+lfJZJh3Sz3HXk3rH/ya7/DZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8HMPif4xaB+whpmnfDya/i8P6r4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDXt5zSdbKq8E7e6/wV/x2PiuCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8gv+CHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv/AMJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXT/8ABPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NfQEcccS7Yo1UeijFfJ5Nw9Wr0MNip4mTiuWahbRW1SXvafdse74gcX4XiTivHY/D4ZUo1pOy0vayjeVl8Urc0tX7zer3HUUUV98fnJ8OfGvx5HYftsfFqy+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/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBXBnuW1c1y94enPld0/J26P8Arex7nDmY5fl2Mn9di3TnFxbik5x96MlKKk0r+7yvVe7KWvR/BX7H/wC0fpd58APCeu+Nv259VtbyOOUwWGoeONPtSLKO6lWzWS32gx5tVg3IcHk5wc196/s7a94h8ReGbrUtWv5Lu0knV9Pu5JC4lVhuYq38SZIII45PpXerYWKKESziAUYAEYwBUoAAwBgDsK4ctyDFYHGRr1MVKokmrO9tf+3n/VjPNs3w2Y1qs6WHjSU5OSStaKbbstFtt6BRRRX0x4Z53f8A7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/wCE38Tppi6TIG1zQm0lr62UmQo7SZTJyo2+YzDjuScgV7jBEIYEhByEQLz7CnUV5uDy6OExlfEc13Vadu1lb5nTWxLrUadO1uW/zuFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Xfsq/Ee/8AHOq2jeGvihJ4v0iC3kgu9V/taO9VigJG+WL5DIGYDscHnpXq3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzeA4YxmFqUpzxcmoNPlV7adF723TbboelnOdZfjMTU+q0OWDSim7KT5YqPNJK6UpW5mlJ2k/ie7dRRRX2J8wFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/Cv9mL4N+Ifj78bfFUWieFfC2nNe6zqUqM/lRggAKqgs7sxVFRQSzMoAJNdfXyb/wW9+CvxP8Ajz/wTZ8ceDvg94SvPEOuafqeha9F4d06PfcapBpusWd9PbRJ/HI0NvJtTqzBVHJoA9k/ZL/a8+B/7a/woPxh+A2u3t1psGrXOl6nZatpU1hfaZf27BZrW6tp1WSCVcqSjAHDqehFenV8Xf8ABG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8E/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf+yb8Iv2rNC/Y5+IXinWtO8WeItRttN029m8LXv9kNqNzCZrewbUfK+zC6kjAZYt+7BGcZr32vzj/bu+Nd/8av8Agq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv+Cln7Kv7UHx+8RfszfDHXfEMXi7w5pj6m9j4h8I32mJqWnpcm1a9spLmJFu7cTDZ5seVJIxkc177X5q/sHaV4p+IH/BaT4iftJ/DH4KfGnQPBWsfCiaw+IF38a9HuYfsXiIauJYLDRnuixW0ERndo7ZjbZ2Fe1fpVQAUUUUAR3V1bWNrJe3twkUMMZeWWRgFRQMliT0AHOa8p/Yx/ba/Z7/b7+EM/x0/Zm8UXOs+GYNfvNHGoXOnyW3m3FsyrIUWQAsnzAq44INYn/BS/4f8A7QvxY/Yd+IHwu/Zc0SHUvGHiPTItNt9Pm1xNMNzZTXMUd/El26stvI1m1yqSFW2synaSMV89f8G+Xgr49/Db9n74ueB/jb+yu/wogh+P/ii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv/BcjwR8NPE/wZ8K+IvHPgn9oC/1jw9eareeBdY/Z8tbt9R0vW306W3gad7P9/FHIJnQMP3Z+YSEKcEA+zPAPjLTviJ4G0b4gaRp2pWdprmlW9/bWmsadJZ3cMc0ayKk8EoEkMoDANG4DKwIIBBrWryT9glP2hI/2KPhSn7WDXB+JQ8BaX/wm5vCpn/tL7Mnnebt+Xzd2d+ON+6vW6ACiiigDxH42f8FDP2YvgF+0N4Z/Zb8deI9Yn8Z+J4ILmPTtC8NXmoppdrPcfZoLq/lt43SxgknzGskpVSwPOBmvbq/Hn/goj8Av2yPBf/BY3VPjV+z/AKV8YV1z4gD4dp8ONX8Di5/4RnyrDUXi12219o/3KxJZPLKiT/KftDFMv0/YagAooooAK+a/gX/wVU/Zo+P37Tzfsg+HPC3xJ0PxudJvdTt7Lxp8NtS0eG6s7SVYpp4pbqJFkj3uoDLkEsMHmvpSvjz9k3wF45+Kv/BU39on9r/4g+DNX0zS/DOm6P8AC74Zy6xp0tv9qsbaP+0dUuoPMUeZDLe3KIsqZV/spwTigD7DooooA//Z", 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ZjeBpGLEszEKoySeFAHAr6er6XhaLjkVHW97v8XofnHF2YUsxzuVSnzNRjGPNK3PPlilzSs2rvtd2SS5na7K/lo+NHxl/aw0X9vjxd8TfEXirWtJ+KH/CWX9pf3UjLBcQM2+2a3w3yLF5B8oKfkEeAPlxX9S9eMfGL9k79nCLxF4u/apj+Duij4hy+Dr+0fxX9nP2oxfY3i6527vLAj343bPlzjijiDKK2awpezqcnI7/APB9V09XqfY+FviHl3AP9orFYNV/rNL2cdtHr7sr/wDLud/ftd+7HRngHhvxxb+D/jXZ6VB8RDpF1qvgSygsdJGqJCdSKzzsdsZw8rxgcbOVDtnrX2j4GuNauvB+nXPiFGF69ohuN4wxOOpHYkYJHrmvB/2OERviRqrMgJHgTRcEjp++va+ja83g7AVKeDji3VbU00o9FaT8/wBFuz4DOK8ZVnR5VdPfq9Arw7/gpV4m+MXg39g34p+J/gE98niyy8JzyaZLpkW+5hXKiaSIdd6wmVgR8wKgjkCvcaCAwKsAQRyDX11em61GVNO101dbq63+RyZXjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav0P+P/hT9jz4n/Dnxt8TfiH8T9N8b61p3hYqnirUPEdtqmp6OI972a2hU/uH+0kGNEUGWVtp37ttfbf7K3wa/Yk+F/8AwlX/AAx/4d8EWv27Wv8Airv+ERvYbjbepuxFNsd/KZNz4i+ULubCjJrwH/gol+z/APBT4l/G7UPiB4++GmmatrPhb4bWk/h6/u42LWMn2nU33KAQpO5EYbgcFQRX5lmPD2Jy/KOeWJcopr3Vfl1drrX57bn7fxT4j4HinxE/tWnh6mFioRT5bKrLlV/e1SXM7RveVoKL5ZW5T6v/AGfdS+IesfATwRq/xctZIPFl14Q02bxPDNAInj1FrWNrlWReEIlLgqOB0rr6KK/UIR5IKN72PwjEVVXxE6qio8zbstld3svJbIK+av2zPFujfDWfUvFulWhur9LKJY9OQIPtV/K4itoVyygtJI8anJH3s5r6F8VeJdO8I6FPr+qMfKgUfKv3nYnAUe5Jr5e8P+AdS/aW+Pd5NrKSf2b4NtDqskhYKk+uXKulmhBjO5YIPOkbDDDTwHBI4+S4qf11U8vpRUqknzeiinr89l8z0spXsXLETdorT1b/AMj1v9iPT/Cdl+y/4UuPCczTfbrN7vWLqaBI5p9Ukldr5plRmCy/afOVl3NtK7ckKK9Wr5//AGR4ta8DfEHxX4HlC/2LrNz/AGvYQ70VrO/OEvItgQHbIVjmByx3mfO3K5+gK9rJcZSx2WU6lNWsrNdmtGv66HFjaM6GJlGWvW/dMK/Bb/g5u8UfGW+/bc0Twn4vmv08Haf4Sgn8GwPHttWkkY/a5UI4aTzERWJ+YBIxwMZ/emvlX/gox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rz+LaTqZHUaduVp+uqVn99/kfoXhFxfhOCeNaWZYmh7WPLONlbmjzL4o30vpZ6r3ZSPlv9jT9oFfiB+yD4Mu/wBoj9trUf7Y1LQWj13R9U+IFlCJIDJIiRSxn5wGtxGGDHcQxJOSa+7v2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc9X+zxZWf/CgPA3+iRf8idpnAjH/AD6RV2oAAwBgDsKxyzh6thcZTxdXEyqcqdk13Vt23/Vj5XPM8pZpi8RUp0I0lVnKXLHaN5OXKtFotl5BRRRX1Z84eP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2CiiitSD+dX/g4J8WfGrVP+CmniTS/iHcaimnaPYafH4EhmjKRpp7QI5eADhg1ybjL8kspU/dAH71fsoav8UPEH7MPw8134221xD4xvPBWmTeKYru3EMq6g1rGZw6DhG8wtlR0ORXzP/wAFJvgL8Gvi78V5/FfxO+HOna5qHhb4aSXXh+5v0ZjZTeddNvVQwVjujQ4YEfKOOtfadiS1lCzHJMS5J+lfJZJh3Sz3HXk3rH/ya7/DZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8HMPif4xaB+whpmnfDya/i8P6r4wt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXkX7dfhLw348/Zd8Q+CvGOjxahpWq3mlWuo2M+dk8L6naq6HBBwQSOCDXt5zSdbKq8E7e6/wV/x2PiuCM8o8N8XYLM61JVY0qkZOL6q/S+nMt4/3kj8gv+CHXxz8T6R8KPGHgXx3+1Rqng7wzpOqWz+GNNXxba2EXnTCZrsoswLEZELED5QWJHLNX6Y/sw6H4R+IHi/Q/Efgzxv/AMJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXT/8ABPT4U/Df4Q/DbxX8Pfhl4LsNF0TT/GrfY9Os4sJHv03T3Y5YkklmYkkk5NfQEcccS7Yo1UeijFfJ5Nw9Wr0MNip4mTiuWahbRW1SXvafdse74gcX4XiTivHY/D4ZUo1pOy0vayjeVl8Urc0tX7zer3HUUUV98fnJ8OfGvx5HYftsfFqy+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/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwV8U/HTx3c6b+3h43svi/4ubTdI0n4eaZP4Mg1O4S3shpztM+qXUbMQHcTRQLMx5RI4c7VILfa1ee/H79lH9nL9qa00ex/aF+EGjeLItAvTd6OmrQF/s0rABiuCMqwVdyHKttXIOBXBnuW1c1y94enPld0/J26P8Arex7nDmY5fl2Mn9di3TnFxbik5x96MlKKk0r+7yvVe7KWvR/BX7H/wC0fpd58APCeu+Nv259VtbyOOUwWGoeONPtSLKO6lWzWS32gx5tVg3IcHk5wc196/s7a94h8ReGbrUtWv5Lu0knV9Pu5JC4lVhuYq38SZIII45PpXerYWKKESziAUYAEYwBUoAAwBgDsK4ctyDFYHGRr1MVKokmrO9tf+3n/VjPNs3w2Y1qs6WHjSU5OSStaKbbstFtt6BRRRX0x4Z53f8A7Jn7N2p/tAW/7VGofBzRZviFa2f2W38VPbk3KReW0XrtLeWzJvI3bTtzgAV6AtraowZLaMEdCEFSUVEKdOnflSV3d26vu/M6cRjMXi1BV6kp8kVGPM2+WK2ir7RV3ZLRBRRRVnMFFFFAHhn7Unw7/wCE38Tppi6TIG1zQm0lr62UmQo7SZTJyo2+YzDjuScgV7jBEIYEhByEQLz7CnUV5uDy6OExlfEc13Vadu1lb5nTWxLrUadO1uW/zuFfMX/BSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfm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", "info": {"equation": "6+3*2=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "427cd1c39ae7f2bf29a3a782e46237f963acab265cbeb727729d6cd2d9519f44"}
+{"episode": 86252, "episode_seed": 2548840992, "split": "train", "timestamp": "2025-10-28T03:51:06.968618", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2548840992, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 4, 5, 4])</answer>", "action": "('move', [3, 4, 5, 4])", "reward": 0.0, "image": 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ooHQfqSSTkkmvPyfL6uE4rnTnVc3GF239q6irPV6K/foj4rEZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52eD/APBTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr5F/aB+Itj4R+AfgC3/ZF8cJd+Kj4i0VfhJZaFPBfTas8EyQyR7GLebCLZpxO/RMney9a/TKvzW/ZF/Za/Z4+Gfi74MfGXwH8ItI0zxVrGuWR1LXIUdp5TPp1282C7EJvbk7AuenTivg+K8LKpmmDkptc0lHTp7y95eev4I/ROE84yfCZZKGMoc8qE3VilGLjVvGK9nVbaagnBPRSupzXKr8y9H/AODhHxp+0L4I/wCCd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wyFT8rNX5E/8ABEHxL8dfDv8AwUk+HsXwLtr2ZtR1AWni6K1tBKn9hMyG8abcMIiqqsHyCHVMZYhT/Qv+1tHHL+yp8TYpUDK3w+1oMrDII+wzcV8s/sZ/sv8A7Pn7O37UfhW7+CHwl0nw3Nq/hnWF1KewVzJcKgsiqlpGY7QWJ2ggZ5xkCjPsLKXEuElztczXy5X09T7rgXxQyzh3wxzLIa2BVSpU5rS05Zc6t+8vq+TeNr30Xu25j7nooor7w/AQoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/4avfeNha3HjjxVcDVvHGpW8CrvvHUYtUIZiYLZMQRDcRtTd1difJv2afhvcfHP47TfFvxFYP/wAIn8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv8A4OhPGn7Qvh79nnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USvFf+Chfhbw944/ZN17wb4t0iK/0vVdY0K01Gxnzsngk1myV0OCDgqSOCDzwa8rO6LxGUVoKTj7rd15a2+drPyZ9hwDxDQ4V4xwWa1qCrRpTu4PrdON1fTmjfmi+kkj8G/+CMHxd8efD39qObwxpvxqvfBXhPWtJmk8XXlrrFvYrKIIpTahpZwQCJpAAF5O88YBI/UDxQP2ZfjxqWj+H/iv+0TZ/EdLPUkn0bw14m8dWl/ave9I5BaIVWeQZIUOrj5mAHJr079gD9n74KfAD48+KfCnwY+Gml+HdPu/BdhdXVvYRE+dN9tu13szlmYhQAMnA7Yya67/AIKU/Cb4bfGD4eeBPh58TfBtnrOiah8RovtmnXKsEl2aVqUiZKFWGHVTwR0r8+w2T4mrw48UsRJRtJ8mttG/O2tr7H6Bx7x/gOK/ENZhhqDw8bQjzxt7WyWs3ZxTnZ8tude6kuY8n/4JxLH4N/bV+JPwn/Z+Gz4S2fhaC917TdMRG0nSPFz3WJILZlJEUr22XmgThGVcqnyg/dVfMv8AwTg+Ffw5+CyfEX4d/CjwbY6Doln4isXt9N0+MrGrvptuzsSSSzEnJZiT05wBX01X3HDFN08jo3k3dX16Xe3oj824vzKlmueTq007RUY80rc8+WKXPO11zS3ertouaTXMyiiuJ/aU1T4oaH+zt481r4IWUlz4ztPBupzeEreK3WVpdTW1ka2UI3yuTKEAU8HODXuTlyQcrXsfP4Wg8ViYUU0nJpXbsld2u30S6vsea2f7PX/BNuL9seb4jWPhX4bj43faGvJo01OA6usxtgWnNn5mRIYTvMnl7iG35ySx98+x2f8Az6x/9+xX8ksfxZ+Nnh/43N8Zf+E21218f22vtqEmuyTuuoJqIkLNIzN83mb8gg+4IxxX7m/DP4+6bqHw08O33xC/b51S38QT6BZya9B/wsnTk8q9aBDOu1VIXEhcYHAxgV8Hg+M8FDn5sO43bfupa+b217n7v4seE+ZcHQwNSrmX1nnhyLnbvDktpBNy/d+97u1u2p+iCIka7Y0CgdABilrwr9nj4jeI/H/iK11vQfF51/RruEma/gvFuLd1UFQ6uhKZ3KR8p5IbuOPda+qyjNKeb4V14QcVdrXy6/11uj8LxeFlhKvI2npfQKKKK9Q5T+fj/g5B8aftC6r+33d+C/iZLqcfgjStJtJPhzbTQ7LSSCS1hN3NERxI5uhKjMfmAjRegXPf/wDBEr48+LLH4DeIfBXxI/aq1Lwf4c0TVoo/B+mJ4rs9OTMvnTXZVZRvceY8Z3HgFyAeoH6z/tl/CP8AYk+K3gbS4v249J8Fy6FY6rnR7vxpqcVlHFdvG+UimeSM7mRWJQN8wjyQdgI7/wCF/g/4X+D/AIcaH4Y+EeiaRa+FrLS4Y/D8GjqhtVtNgMRiK5DIVIIYE7s5yc5r4etwviq2a1cRDFOHNrpfm16PVaLpr0R/QGceLOW5h4T4PhtZZadPlj7RpezvT3nDRv2k/wDl5t8U9Xc+CNV+HX7Fnxp1/WPG3xP8ZeGPiZqiaC0Gqav4v8UW2qSadpa8sFO4LZwgksZUCEMzHeCa9x/4I9ap40v/ANkWXT9Yk1CbwrpXjLVNP+Fl5qdosUt14XidFsXGAN8Y/erG5HzRohGV2seR/bY/Ze/Z7/aE/bAST41/CbSvEZ0f4faSdN+3q4EHmahqe/ARlDBvLTIbI+X619A/sPW9vZ/si/D2zs7eOGGHwzbxwwxIFSNFGFVVHAAAAAHAArn4dwVTC8R4iEqjk4LVv7V7PXV7HwObZ7RrcIUsJec5TlF2nbkpKHMkqXvNvmT952gklbllo16rRRRX6AfnoUUUUAeQftP+HBfaroXih9EWRtOt7qCHUFVi0CzNCZIzjgKxhiPPdBiuh/Zt+H7/AA7+G72EouFl1LWb7VJo7kANG9xO0pXGBgDdwDz6131FePRyiNHOKmP523NJWttt1+R2Txjng44fl2d7/f8A5hRRRXsHGeD/APBTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/sieF9R/Z1+NMGlavHqekR/C6+0bVraSW6aOVLZ9rSllaNYJJVlkPCEjcy5r9Ta8k+Ev7B/7HnwJ+KWpfGr4Q/s9eHNA8UasJxe6vYWhDkTSeZKqKSViDMORGFGOOnFfLZ7w/iM2xlKtTrcnLp101vePn92y1Pu+GuI8kyvARpY7DucqVR1IpKLjVuoL2dVtpqCcE9FO6lNcqvzL5f1r4t/CDXtPu9B8Rft1XOpaZewvb32nXvxLsGhuoHBV4pAACUZSVIBBIJ5Fe7fs7+CbTxR8S9J+KVhcPJZ6Ro93HY3FsytbzrdCAghgCH+WJSCp6NnkEV9A/YrP/n0i/79inqqqNqgADoBWWF4XrUsdTxNbFSqcjuk1+rk7HzdXNIToSpQpKN+3/DIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfHn/BT/xh4n8PfFr4H6R4p8Q3mkfC298QajP4vvlZYrKTV7eOCXR7e9nJHlwtKLhwpIV5YYgckKD9h1ifEn4beAvjD4E1X4Y/FDwnZa54f1u0a11TStQhDxXETdiOxBAIYYKsAwIIBrgzTBzzDAVMPGXK5Lf8fuez8j2uH8xw2VZtDEYinzwtKLWl0pwlDmjfTmhzc0b/AGktVufm58bPjtb+Ev26fAngrwp+0lceFIZ/C+qL8R4dO16ztEgto083T/OllBMcpuJmxHwzI4bBUk16bpXxJ+E3ivxJpdtqH7WQ8X3kF75mjaVqnjuzuwLto3iDxxR7WaXZJIg68SNxnGPrD9n/APZV/Z2/ZX8LXfgv9nv4R6R4W02/vTd3tvp0JJnm2hd7u5ZmwqgAE4HbGTXeraWqsGW2jBHQhBXyVLg/HLC+yli2l1ik+X/0pX+49jN+IMprYinHBYf3KceXnkoxnN80pOckuZJ+9ypc0rRjFXdjy/8AZd+H7+FbLxD4vmFwsniXUoLgxzABQsVtFApQYBwQmcnOc5HFeqUUV9hl+DjgMFDDp35Va/c+TxFZ4itKo1a4UUUV2GJ5Lb/sI/sfWn7QL/tT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f/PrH/wB+xUlFZ06VKlfkild3dla77vzOvF5hj8e4PFVZVOSKjHmk5csVtFXbtFdEtEIiJGu2NAoHQAYpaKK0OQKKKKAP5+P+DkHxr+0Lqv7fV34K+Jk2px+CNK0mzk+HNtNDstJIJLWE3c8WOJHN15qMx+YCNF+6Fz6N/wAEWP2i/Hs3wJ13wd8Wv2utZ8L+HvD1/b2ngrTpPGNrYqkbCWS5SNZgXZFZosfwruIXuB+v37RH7J/7OX7WXh+w8L/tGfCLSfFllpd4brTo9SjbdbSlSjFHQqygg8qDhsKSCVGOp8C/DnwJ8MvBumfDz4f+ErDSNE0ayS00vTLG3VIraFBhUUf16k5JyTXxNfhXG1czq4mGJcFLW6vza9N1oumvbQ/e838X8nzLwswnC8cuSq0uROXu8i5Ptw0b9pU+22l8U9Xc+Pfhr4q+Hvi7xVdXvhT41p461+W1hjnnk8SwaldpbRyOY4wIeVjEkzkfL96U88gV9YfAvwDH8Lvg94c+H0UszjSdKig3XBBc4GfmwAM8+ldTHbwRHdFAin1VQKfXqZNkMsqxFSvOs6kppK7X56u5+K4zHrFU4wjBRS/rsgo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", "info": {"equation": "40/5=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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ooHQfqSSTkkmvPyfL6uE4rnTnVc3GF239q6irPV6K/foj4rEZ9QfBcsK3OUqjUVCVvZ0lGfPzU/eb53Zx+GCUZ1FeXMe60UUV+hn52eD/APBTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr5F/aB+Itj4R+AfgC3/ZF8cJd+Kj4i0VfhJZaFPBfTas8EyQyR7GLebCLZpxO/RMney9a/TKvzW/ZF/Za/Z4+Gfi74MfGXwH8ItI0zxVrGuWR1LXIUdp5TPp1282C7EJvbk7AuenTivg+K8LKpmmDkptc0lHTp7y95eev4I/ROE84yfCZZKGMoc8qE3VilGLjVvGK9nVbaagnBPRSupzXKr8y9H/AODhHxp+0L4I/wCCd+o3fwCl1OGG98QW9l46u9Jh3SQaFJBcCYsw+aONphbRuy/wyFT8rNX5E/8ABEHxL8dfDv8AwUk+HsXwLtr2ZtR1AWni6K1tBKn9hMyG8abcMIiqqsHyCHVMZYhT/Qv+1tHHL+yp8TYpUDK3w+1oMrDII+wzcV8s/sZ/sv8A7Pn7O37UfhW7+CHwl0nw3Nq/hnWF1KewVzJcKgsiqlpGY7QWJ2ggZ5xkCjPsLKXEuElztczXy5X09T7rgXxQyzh3wxzLIa2BVSpU5rS05Zc6t+8vq+TeNr30Xu25j7nooor7w/AQoorhfjN8T7fwjpknh/S5m/tS6hGxlAIhQkgsc98A4HvmuTHY3D5fhZV6zsl+L6JebNqFCpiKqpwWrPKv2ufjvpnh6xub1o5ruz0mVLe0sLQr52pahLIsMVvFuYK7vI6Rpkjlic45ruP2QfgFe/A/4avfeNha3HjjxVcDVvHGpW8CrvvHUYtUIZiYLZMQRDcRtTd1difJv2afhvcfHP47TfFvxFYP/wAIn8N9RlsfC0EwXZqOvCNorq92NHkpbJK1tGwfHmm4OMojV9YV8/w7g61ec80xK/eVdl2j0/rt6noZjWhTisLS+GO/mwooor6s8kK/Lv8A4OhPGn7Qvh79nnwL4a+H8upwfD/WtWvI/H89jD+6edPszWEM8g5VGP2lgp+VmiXPKqK/USua+MnhL4UeOfhV4g8K/HTTNIvPB93pUw8Rw68yLZi0ClpHlZyBGqhd+/I2FQwIIBHn5phJY/L6lCM+VyW/4/c9n5H13AfEVHhPi/B5tVoKvGlO7g+t043X96N+aH95I/nX/wCCMHxc8efD39qKbwzpvxpvvBXhPWtJmk8XXlrrFvYrKIIpTahpZwQCJpAAq8neeMAkfp/4oH7Mvx41LR/D/wAV/wBomz+I6WepJPo3hrxN46tL+1e96RyC0Qqs8gyQodXHzMAOTX1l+yB8Iv2Lvhf8Oryy/Yp0TwZH4avNUaS/uPB2oRXsM12qICHmR5Nzqmz5S3ygjgZ54n/gpT8Jvht8YPh54E+HnxN8G2es6JqHxGi+2adcqwSXZpWpSJkoVYYdVPBHSvhsRw1i8Hk85vFNxjFvlV+V9e/6H3/HPiFguLvEBZjQw0sKvdhzJL22l05yScffs+W3OvdUU5Hk/wDwTiWPwb+2r8SfhP8As/DZ8JbPwtBe69pumIjaTpHi57rEkFsykiKV7bLzQJwjKuVT5QfuqvmX/gnB8K/hz8Fk+Ivw7+FHg2x0HRLPxFYvb6bp8ZWNXfTbdnYkklmJOSzEnpzgCvpqvq+GKbp5HRvJu6vr0u9vRH5zxfmVLNc8nVpp2iox5pW558sUuedrrmlu9XbRc0muZlFFcT+0pqnxQ0P9nbx5rXwQspLnxnaeDdTm8JW8VusrS6mtrI1soRvlcmUIAp4OcGvcnLkg5WvY+fwtB4rEwoppOTSu3ZK7tdvol1fY81s/2ev+CbcX7Y83xGsfCvw3Hxu+0NeTRpqcB1dZjbAtObPzMiQwneZPL3ENvzklj759js/+fWP/AL9iv5JY/iz8bPD/AMbm+Mv/AAm2u2vj+219tQk12Sd11BNREhZpGZvm8zfkEH3BGOK/c34Z/H3TdQ+Gnh2++IX7fOqW/iCfQLOTXoP+Fk6cnlXrQIZ12qpC4kLjA4GMCvg8Hxngoc/Nh3G7b91LXze2vc/d/FjwnzLg6GBqVcy+s88ORc7d4cltIJuX7v3vd2t21P0QREjXbGgUDoAMUteFfs8fEbxH4/8AEVrreg+Lzr+jXcJM1/BeLcW7qoKh1dCUzuUj5TyQ3cce619VlGaU83wrrwg4q7Wvl1/rrdH4Xi8LLCVeRtPS+gUUUV6hyn8/H/ByD40/aF1X9vu78F/EyXU4/BGlaTaSfDm2mh2WkkEtrCbuaIjiRzdCVGY/MBGi9Aue/wD+CJXx58V2XwG8Q+CviP8AtV6l4P8ADmh6tFH4Q0xPFdnpyZl86a7KrKN7jzHjOTwC5APUD9Ff+CkHwH+D37QfxQ+GnhD41fD+y8RaZa6N4hu7ezvi4WOdZNLQOCjKc7XYdcc9Old3/wAE9PBXhDwP8BLzwZ4P8NWWm6TpXjXW7XTtPtIAsVvCl7IFRR6D8yck5JJr81nlVfFcU16NOvKDtzcy3s+X3d1or6eiP6FznxVyrMPCHB8PLL4qpT5IuXu8q5L/ALyOjftKlvful8U9Xc+XtV+HX7Fnxp1/WPG3xP8AGXhj4maomgtBqmr+L/FFtqkmnaWvLBTuC2cIJLGVAhDMx3gmvcf+CPWqeNL/APZFl0/WJNQm8K6V4y1TT/hZeanaLFLdeF4nRbFxgDfGP3qxuR80aIRldrHkf22P2Xv2e/2hP2wEk+Nfwm0rxGdH+H2knTft6uBB5moanvwEZQwby0yGyPl+tfQP7D1vb2f7Ivw9s7O3jhhh8M28cMMSBUjRRhVVRwAAAABwAK6uHcFUwvEeIhKo5OC1b+1ez11ex+eZtntGtwhSwl5zlOUXaduSkocySpe82+ZP3naCSVuWWjXqtFFFfoB+ehRRRQB5B+0/4cF9quheKH0RZG063uoIdQVWLQLM0JkjOOArGGI890GK6H9m34fv8O/hu9hKLhZdS1m+1SaO5ADRvcTtKVxgYA3cA8+td9RXj0cojRzipj+dtzSVrbbdfkdk8Y54OOH5dne/3/5hRRRXsHGeD/8ABTbxT8ZvBf7Dfj3xL8BLnV7fxFbWdrm70C2E19a2DXkC388C4J82Oza5kUgFlKAgZAr4q/bJ+MXgr4X/ALInhfUf2dfjTBpWrx6npEfwuvtG1a2klumjlS2fa0pZWjWCSVZZDwhI3Mua/U2vJPhL+wf+x58CfilqXxq+EP7PXhzQPFGrCcXur2FoQ5E0nmSqiklYgzDkRhRjjpxXy2e8P4jNsZSrU63Jy6ddNb3j5/dstT7vhriPJMrwEaWOw7nKlUdSKSi41bqC9nVbaagnBPRTupTXKr8y+X9a+Lfwg17T7vQfEX7dVzqWmXsL299p178S7BobqBwVeKQAAlGUlSAQSCeRXu37O/gm08UfEvSfilYXDyWekaPdx2NxbMrW863QgIIYAh/liUgqejZ5BFfQP2Kz/wCfSL/v2Keqqo2qAAOgFZYXhetSx1PE1sVKpyO6TX6uTsfN1c0hOhKlCko37f8ADIWiiivrjyArjPiF8GdJ8e6zDrb6rLaSqqx3HlxhvNQE9M9G5xnkexrs6K5cZgsLj6PssRHmjvb09DWjWq0J89N2ZX0nTLTRdMt9IsI9sNtCsca+wGKsUUV0RjGEVGKskZttu7CiiiqEFfl3/wAHQnjX9obw7+zz4F8N/D6bVIPAGtatex+P57GH9086fZmsIJ5ByqMftLBT8rNGueVUV+olYnxI+G3gP4weBNV+GPxP8KWWuaBrdm1rqulahCHiuIm6gjsQcEMMFSAQQQDXBmmDnmGAqYeMuVyW/wCP3PZ+R9bwLxJh+EeLsJnFegq0KMruDtrdNXV9OaN+aD6SSP50/wDgjD8bvib8P/2kZPAOnfHnVPBfgjV7C4u/FbW2vQWMDyQwOLZy8+VD+a6L8vzMDg5UHH6raV8SfhN4r8SaXbah+1kPF95Be+Zo2lap47s7sC7aN4g8cUe1ml2SSIOvEjcZxj6x/Z//AGVf2dv2V/C134L/AGfPhHpHhbTb69N3e2+nQnM820Lvd3LM2FUAAnA7Yya7xbS1Vgy20YI6EIK+SpcH45YX2UsY0usUm4/+lL8j6zxJ8Rct414rnmuFwSpR5YxV7c8uX7U7Jrm1tu7RUVfQ8v8A2Xfh+/hWy8Q+L5hcLJ4l1KC4McwAULFbRQKUGAcEJnJznORxXqlFFfYZfg44DBQw6d+VWv3PyzEVniK0qjVrhRRRXYYnktv+wj+x9aftAv8AtT237PnhxPiBJdNdP4lFqfO+0NH5bTbc+WJCucuF3EktncSa9W+x2f8Az6x/9+xUlFZ06VKlfkild3dla77vzOvF5hj8e4PFVZVOSKjHmk5csVtFXbtFdEtEIiJGu2NAoHQAYpaKK0OQKKKKAPhDx54y8TXf/BSr4j+HfjH4jvLX+z/D+lw/CPSdQdYbW50iW1jm1G4tBkfaJjexOsrfMyJBGDtUAnx/4BftI6Pqvxx+MemW/wC2je6P4IsvFNq3hKO08Y2FlbPczQNLqXkEgmeITshEmSvzHBPIH6GftEfsnfs5ftZ6BYeGP2jPhFpHiyy0q7N1psepRtutpSpRijoVdQwPKg4bapIJVcdT4E+HPgP4Y+DNM+Hnw+8JWGkaHotklppemWNuqRW0KDCooH8+pOSck18TX4VxtXM6uJhiXBS1TV+bXputF017aH6DX4oyKeTqEcNeu6dOm01FU4ez5L1IPWTnU5FzXirc9T3pc2nx78NfFXw98XeKrq98KfGtPHWvy2sMc88niWDUrtLaORzHGBDysYkmcj5fvSnnkCvrD4F+AY/hd8HvDnw+ilmcaTpUUG64ILnAz82ABnn0rqY7eCI7ooEU+qqBT69TJshllWIqV51nUlNJXa/PV3Pj8Zj1iqc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"info": {"equation": "40/5=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "bc663357a17b7677afd5d0aac720098948ccd751e91c8c2de567ced57b1b5c62"}
+{"episode": 86253, "episode_seed": 2366514001, "split": "train", "timestamp": "2025-10-28T03:51:07.043547", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2366514001, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [8, 1, 2, 1])</answer>", "action": "('move', [8, 1, 2, 1])", "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": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "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": "<think></think>"}], "extra_state": null, "hash": "3ed1e9f8a705c7a1f88ead1fc11bea2bae3311ccff64721a8613f28df8cd778d"}
+{"episode": 86254, "episode_seed": 2209775271, "split": "train", "timestamp": "2025-10-28T03:51:07.103649", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2209775271, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 4, 1, 4])</answer>", "action": "('move', [0, 4, 1, 4])", "reward": 0.0, "image": 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Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmtD/AIJ3fs3fAf4OfFnwB4t+F/ws0rRdT8SeAbuXXb61jYyXjeTYyfMXZsDe7NtXAyenAx7F/wAFIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+UYbKcRV4fqYlV5KMb+5rZ2+f6H7d4h+IuW8Ycd0MbhqEsPFQjBzVnV+1d2Tino3FLnV47tXssT/gkre3SeAfiL4T8H39xd/DPQfiFPY/C6dyJLZLEW8LXUFpNk+daxXzXUUbZYAJtDELgfWdeMfsC+FfDfgX9m608F+DdDttM0nSvEuu2um6fZx7IreFNVugqKOwA/E9TkmvZ6/Sclg6eUUE3f3IvXzV/wANj8d4lx8Mzz2viYRspS67uyUeaVt5ztzTfWTbCiiuI+NXxDh8KaG+g2Mjf2jqEJWHaB+7QnDOf1A9/pXRjsZRy/Cyr1XZRX39kvN7HkUKM8RVVOG7PEf2qviL4n8beKLH4efDO5H9ueIdSGheFmCI4hkZWe5vijSKHSCGOac4PzCJF6sAfoX4V/DTwp8HPhzovwu8EWAt9L0PT47W0QAbmCj5pHI+87tudm6szMx5Jrw79jHwFL428c63+0tr1my2sH2jw74GilKnbaRTBb28CmMMhnuIQi/McxW0bDAc5+ka8bhzCVVRnjq/8Ss+Z+Uei+79Ox25lVhzqhT+GGnz6sKKKK+kPNPjL/gvf4u+OXgz/gm34r1D4Gy6jC9zf2tp4qutLi3Sw6NIXW5JI+ZEJ8tHYdEds4UsR+P/APwRc+Kfi74f/tT3Gh2fxnvPBXhnV9DnbxPfWusW9gsohRjbK0swIB85xhV5O49s4/pF1jSNK8QaTdaDr2mwXtjfWz297Z3UQkinidSrxurZDKykgg8EEiuB/Z6/ZH/Zs/ZR0HUPDP7PHwe0jwrZardrdalFp8TE3EqqEUu8jMxAHQZwMsQAWOflc44exOZZjDE067gkrdbr0s1vfXVfM/Z+FPFDK+HvDXMOGq2BVSpiJNxnpy+8oq87681PlvTtfW21rv4z17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/8ABJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK8/IcDUwfEeIpzqubjFXb63s9dXtstT5PMc7o1+EKWEXNKUp35ZW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf/AHwK/mQ/4Kv/ABA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewUUUV3nOFfzWf8Fx/F3xy8Tf8FJPiBYfG2XUVj0m/Fp4Qtr2LZFFowG62MAHylHDM5Yfednz82QP6U6+JP8AgoR+zj8Cvjf+0Le+I/i58L9L8QXvh34ZWcuizaijt9lc3WpuSFDBWBaNDhgR8vTk5+S40pOeT8/NblknbvfT9bn674Mcc4HgPimeMxWH9rGdOUNLc0XdO8b6WduWW2jvraz9q/4Jqa/8Y/FH7Bvws174/W93F4suPCcB1IX9qIZ2QFhA8iDG12gETHIBJYkgEkV7jXOfB5i3wk8LMxyT4csSSf8Ar3Sujr6fDwdLDwg3eySu93Zbn5hmmMjmGZ18VGmqaqTlJRj8MeaTfLHyV7LyQV/KV8e/ip+0237Y+vfFb4r61q9n8VNP8Z/abq5vIxHc2Oo28w8pVQ5VBEY41RR8gVFA+UCv6ta8y1b9jT9lvXv2grX9qrWPgfoNx8QrNFW38Uy2xNwu2IxKxGdrOsZ2hypYALgjaMeJxBktbOIUlTqcvK7/AH9fVdPV6o/UvCPxLy3w5r46eMwft/b01FbXTV/dd/8Al3O/v2u/dj7rPjS98f8Awf8Aij8LoPBvxx/bQm1qy1XSbdPE+gal8TbNba7YojTQTCEoTGXDKyBgGXKnIJB6T9jHwr4O+F//AAUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/wBtfw/omt/sj/EbRdW0qCe0vPCN7BdQPGNskbxFWU47FSR+NeUf8E9vgP8ABz9nv4p+PPB3wT+HeneG9MufD+i3Vza6cjYlmNzqi72Z2ZmO1VAyeAOMV87DKsRgeJMLCpiJVG1J3d76J6at6PqeBguIMPDh/Gx5ZLnTiqSt7K87Jzlr8ULJwSg/ejFuS5bP6sooor9DPz4/CX/g558XfHG6/a78NeCfFU+ox+A7XwtHdeErdo9tpNdMzLeSKRxJKCIlbPKqV4AbLel/8ElP2ivFOqfsfWFj8af2z9Z8PtpOrTad4Z0ubxxZ2Zh0qKKFYlWOUF9gfzlUt/CoA+ULX6oftDfssfs9ftX+GLPwb+0T8KNK8V6bp179rsbfUkbNvNsZC6MhVlyrEEA4PGQcDHX+HvCXhfwloFj4V8MeH7Ow03TLOK00+xtbdUitoI1CRxooGFVVAAA6AV8ZieGMbXzOriYYlwUu17+j1Wi6H7XmviplWYeGOA4YjgEqtCV3N8vLpf3o6N8873m3bW+99Plr9n7wx4O+JutaDceCPGI16w07xH/at1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/ZGHlTdRzcpOTbVt7eb7dz8gxuL+uVFLlskrWCvDv8AgpN4k+KnhD9h74heIvgzeata67baVDm80G3829tLFrqFb6eBcE+bHZm4kUgFlKAgEgV7jR1616dek61CdNO3MmrrdXVrr0KyvGRy7M6GLlTVRU5xk4vaXLJPle+jtZ6PQ/MT4+/GXwX4B8R/AzSvg9+0DH4bhvtdW2S60TX7SMS+GfscgnkaaQsEi3QW4WQH5nUqCTxXqPhv4i/DHxd4p0+0/wCGpj4z1GKSRtI0zUPG1pfNHKYnVpIoosMX8ppFzzhWbjuPpz4G/sZfssfs0+INd8VfAf4G6B4Y1DxK4bWrrTLUq1xh2cKMkiNNzsdibV6cfKMelLa2qMGS2jBHQhBXw1Hg7GrDeyli2k73ik3H/wBKV/PQ+mzfiDJ6lanHA0G4wXxzUYzk229VHmS5b8q953SvpflXGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx8fVqOrVlN9W2Fcj8RvhFpfxD1C11K41OW1kgXy5TFGG8yPJOOehBJweRyeDXXUVOLweGx1B0a8eaL6enoOjWq0J89N2ZHZ2kFhaRWNrGEihjWONR2UDAH5CpKKK6ElFWRk227sKKKKYBRRRQB5D+0xoUt1r+g+Io9EEslpb3Ftb3aIzOvnPCzxccYYwxEdyV4rtvgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSuoorysPlccPmlbG87bqJK3ay7/ACOqpinUwsKNvhvr6hRRRXqnKeZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/3wKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5QooooAK8I/aY8ESa/45aSLQ383V9CXTBeW6MXlQNMQncZUzSMOP4iTkV7vRXl5vlizbBPDufKm0777HVg8U8JW9olczvCGhR+FvCel+GYpHddO06C1V3ILMI41QE44zx2rRoor00rKxzN3YUUUUxHNfGPQU8UfC3XfDs2jpqEd7p0kMtm4YiVGGGGF5J25wB3xXB/sxeCpLLxDr/xEnE6vqVjZaeqyABGW3kupNy8ZJzcsCc4+UDgg17DRXl1ssjWzWljXN+4mrdHe+t/n+R1QxThhJULfE07hRRRXqHKFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/9pmw/aJ/ZC/Z48Y/s3+OPCl5+yTZfEiP4oeLtb8Py22kX7arczLYrp143yX4uBKsreWTtAO7pX7V0AFFFFABXhv7bP8AwUT/AGYP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff8Awcf+LdWl/YNi+Cng/wCEfj/xd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/dBim/HmFWC5wcAH6BqwZQw6EZFLXNfB34m6L8ZvhfofxT8OaLrem2Ou6el1a2PiTRZtOv4Ebos9tOqyQvxyjgEV0tABRRRQBQ8VeJ9D8E+F9S8Z+J78WumaRYTXuo3TIzCGCJDJI+FBJwqk4AJ44FeH/sgf8ABTL9lL9t7xx4k+GHwV17xBbeJvCtnBfar4d8XeEr7Rr37DOcQ3kcN5FG0kD8YkAx8y+oz7V458UweBvBOseNrrSL/UItH0q4vpLDSrRp7q5WKNpDFDEvMkjBdqoOWYgDrX5y/wDBGb4o6x+1X+2X8WP21v2jPg38TfB/xZ8Z6Amm6P4a8UfDLU9J0rwr4SsrsC109L66hSK9vZZJRcSlT3IRQqNQB+l9FFFABRRRQB87/tm/8FRf2TP2CdestD/aL1bxTZpcWcV5f6ro3gnUNRsNHtZZ/Ijnvrq3haK0RpAVXzGBO04FfQOm6lYazp1vq+l3aT2t1Ak1tPGcrJGwDKwPcEEGvzK/4OL7C4+Ofwui/Zv8D/Ar9oPXviRFZW9/8Mpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP/go34Q/aW+IX7EfxF+H/wCyFFC/xC17QG07Q/O1RLEqs8iRXDJcOCsEot2mKSEHa+04OMUAL+xr/wAFBf2X/wBvmLxvd/sw+NbjXbX4f+LJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv8Ag31+Fn7SXwT+Lf7TPgP4rfsS/wDCoPC8nj3T5fD1qviM31vG0OmW1qLS1k+zQi9hWKJHN4nys7Mm3cpJ/TWgAooooAK+c/iV/wAFQP2dfhn+1VN+xxc+EPiVrvjKzfShqp8JfDbUtVsNMXUSRayXV1bRNFbIwDkvIQAI3JOFOPoyvyW/4KoeAPiFpX7dr+P/ANhTwJ+0zpf7ROveL/CEEOt6Da3cfgDVtFtgonN/LF/okkMcEt0jrcnzFkzsG1skA/WmiiigAooooA5D4+fHr4S/swfB3X/j58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/spftcfCb9sj4eT/ABI+Eln4ls7W0vzZ3lh4u8KXmjX0EnlpIpa3u40k2NHIjq4BVgwINfO//BwT+zt8Yv2mP+CZfifwT8DtB1jVtb0rxHoeuyaR4dG7ULy0stQhnnW2X+OdY1aRE/iaMAAkgVR/4IbW/wC0HH8Ovixc/ESf4sN8N5/idM3wUHxwe6bxKNG+zReabj7Z/pIiNz5vliX5sBsfLigD7looooA//9k=", "info": {"equation": "56/4=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "56/4=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "df90cfa3bad6ed2f89899b2e73122ef11aa0a9eb1ed3866da11e3b2649c36bf3"}
+{"episode": 86255, "episode_seed": 413556258, "split": "train", "timestamp": "2025-10-28T03:51:07.164090", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 413556258, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 6, 1])</answer>", "action": "('move', [0, 0, 6, 1])", "reward": 0.0, "image": 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", "info": {"equation": "19-11=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "19-11=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "38a4e9e79945185837d194c051fc02126a3cf7482a520fd60663c48b8077b4b1"}
+{"episode": 86256, "episode_seed": 891408497, "split": "train", "timestamp": "2025-10-28T03:51:07.231826", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 891408497, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 1, 5])</answer>", "action": "('move', [3, 0, 1, 5])", "reward": 0.0, "image": 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", "info": {"equation": "29-14=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "29-14=15", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "52177a836a20e23949a3aeda1286de945156363b7bf66b72304557fa1ad8443b"}
+{"episode": 86257, "episode_seed": 3592010855, "split": "train", "timestamp": "2025-10-28T03:51:07.291732", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3592010855, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 6, 5])</answer>", "action": "('move', [2, 8, 6, 5])", "reward": 0.0, "image": 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", 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maMXUsQ6h0tjO4YfMpXcvIFe+UdetfW16TrUJU07cyaut1dbr0Pmcpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+Xz/gln8S/G/w6/bV8LXnhb4n3fhS01Z5LLxPrFtqUNqRprASyhppgVQFooznqSoA5OD+vOtWn7M/x78RaNpXxM+Oun/E+fT7iSbQvD3ifxjaapbpcNGQ0yWa4SWUR7wGdX2qz4xkmvp39ln4GfsC/DLxj4y1T9kTwz4Bt9burxYvGp8JX8NzNby+ZKywzKkj/AGb5xL+7wgyh4+QY5T/gpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevzfE8NYrBZPUqPFNxSb5Vflevr9+m5+1cfeJGB4z46o42jhp4RRhGDlZe22bbsnG+kuWK51eO7Sdlif8ABJW9uk8A/EXwn4Pv7i7+Geg/EKex+F07kSWyWIt4WuoLSbJ861ivmuoo2ywATaGIXA+s68Y/YF8K+G/Av7N1p4L8G6HbaZpOleJddtdN0+zj2RW8KardBUUdgB+J6nJNez191ksHTyigm7+5F6+av+Gx+Q8S4+GZ57XxMI2Updd3ZKPNK28525pvrJthSOiSIY5FDKwwysMgilriPjV8Q4fCmhvoNjI39o6hCVh2gfu0Jwzn9QPf6V0Y7GUMBhZ16r92K+/svV7Hk0KM8RVVOG7Pl39rbx9/wrbSNTsPhjDdXmravfTWHhm3s7eKSYOI3lmljjeWNZBDDHNIAXAYxoDjdX1N+zrovwy8P/AjwjpfwZkik8LL4ftX0OeEqftEDxhxMxH3nk3F3bqzOxPJNfO/wT+DOofGB/EX7SF9bSqunG40TwDbu45tYZgt/dbfLDK088OxPmOY7aNhgSEHvP2KDrHgSfxB8JJjG/h86jLq3hPbIimyjnYSXNl5YRcKtw8sqHL/ACTbcr5YB+H4am8ux3JiIKH1hc0X837v3Pb07nuZmlicPenK/s3Z/wCf9eZ7/RRRX6GfOnxl/wAF7/F3xy8Gf8E2/FeofA2XUYXub+1tPFV1pcW6WHRpC63JJHzIhPlo7DojtnCliPx//wCCLnxT8XfD/wDanuNDs/jPeeCvDOr6HO3ie+tdYt7BZRCjG2VpZgQD5zjCrydx7Zx/SHrel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIK+Y5nTr06/JZW63X+HVb311P2vhPxLwOQ+GGY8PVMv8AazrSuqllyrmSX7xtN80OW9PfXta7+Utf8Mfsj/HzXxqPxa+KuhfFK703R7qO2i8YeLrXVI9Ms2ANzLFEGCQZAXfPtDKET512ivoH/glNr3jPX/2RrV/Eep6nf6NZ+J9Ws/AOo6umJ7vw5FdOmnybusieSAqSHlo1Q5IIY4H/AAUK/Z3+CH7QPxZ+HXh340fDPTfEVjYaHrtzZ218HCxSm40pS42MpPykjByOelexfsYWlrYfsp+AbCxto4IIPDVvFBBCgVI0VcKqqOFAAAAHAArgyHA1cHxHiKc6rm4xV2+t7PXV7bLU+PzLO6NfhClhFzSlKd7StyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/8AvgV/Mh/wVf8AiB+0LqX/AAUk+JGufGLVdYtNe0LxfPB4ZebdBJZaXDOzac1vtxsTyTHKrL95nL53MTX6m/s3ftJT+IPgR4K8U/GH9vHU7fxVeeHrO58QWk/xC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYKKKK7znCv5rP+C4/i745eJv+CknxAsPjbLqKx6Tfi08IW17Fsii0YDdbGAD5SjhmcsPvOz5+bIH9KdfEn/BQj9nH4FfG/8AaFvfEfxc+F+l+IL3w78MrOXRZtRR2+yubrU3JChgrAtGhwwI+Xpyc/JcaUnPJ+fmtyyTt3vp+tz9d8GOOcDwHxTPGYrD+1jOnKGluaLuneN9LO3LLbR31tZ+1f8ABNTX/jH4o/YN+FmvfH63u4vFlx4TgOpC/tRDOyAsIHkQY2u0AiY5AJLEkAkivca5z4PMW+EnhZmOSfDliST/ANe6V0dfT4eDpYeEG72SV3u7Lc/MM0xkcwzOvio01TVScpKMfhjzSb5Y+SvZeSCv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eJa/wDA39gfUv2w9O+J/iPw34Bf42raLLpz3OoQjWZIkgdFmW2Mm6QrCrgSbCQqcEBBjw+Icoq5tCkoVeTll1637ea6er1P1bwf8RcF4f18wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/8AB/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfPQyrEYHiTCwqYiVRtSd3e+iemrej6nzmC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf+Dnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/wSU/aK8U6p+x9YWPxp/bP1nw+2k6tNp3hnS5vHFnZmHSoooViVY5QX2B/OVS38KgD5Qtfqh+0N+yx+z1+1f4Ys/Bv7RPwo0rxXpunXv2uxt9SRs282xkLoyFWXKsQQDg8ZBwMdf4e8JeF/CWgWPhXwx4fs7DTdMs4rTT7G1t1SK2gjUJHGigYVVUAADoBXxmJ4YxtfM6uJhiXBS7Xv6PVaLoftea+KmVZh4Y4DhiOASq0JXc3y8ul/ejo3zzvebdtb730+Wv2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYK8D/wCCovir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wSu+LfxH+Gn7ZPhyLwh8XtR8I6br0rWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9O/A79jP9ln9mrxDr3iv4EfA3QfDGoeJpA2t3WmWpVrjDs4UbiRGm52OxNq9OPlGPSVtbVGDJbRgjoQgr4ajwbjY4b2UsW0ne8Um4/8ApS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmRWtlbWdlHp9vEFhiiEaIOgUDAH5VyXgj4M6N4J8TT+I7XUJJ9ystrC8YAgVsZ5H3j2HTg9zzXZUVNbA4SvUp1KkE3T1j5BCvVpxlGL0lv5hRRRXWZHxl/wXv8X/ABz8Gf8ABNvxXqHwMm1GGS5v7W08VXWlxbpYNGkLrckkfMiE+WjsvRHbOFLEfkJ/wRb+Mfj34fftMXPg6z+OupeCvB+saRPP4oltddhsIZXhjf7MWebK7hJIANvzEMR0zj+kDWNI0rxBpN1oOvabBe2N9bPb3tndRCSKeJ1KvG6tkMrKSCDwQSK4H9nr9kf9mz9lHQdQ8M/s8fB7SPCtlqt2t1qUWnxMTcSqoRS7yMzEAdBnAyxABY5+Vzfh/FZlmMMTTruCStpe69LNb311XzP2fhXxQyvh/wANcw4arYFVKmIk3GenL7yirzvrzU+W9O19bbWu/mXwJ46+HvjLxfD/AGP+0QfHetxWkkdjb3Xi221Ge3hZ42lEUcOCAzRw7jg/cTp3+uPgn4JT4cfCTw94GjkmYaZpUUObgjfwOc4AGefSulS2t4m3RwIp9VUCn105PkU8sxNSvUrOpKSSu1287u5+U4zHxxVOMIwUUu3/AAyCiiivoTzjzL4o/safstfGr4r6F8cvit8D9B13xb4a8r+xNcv7YtNbeVIZYxwQHCSEsocMAScYzXpJs7QnJtY/++BUlFRGlThJyjFJvfTf17nVXx2NxVKnSrVZSjTVopybUVvaKbtFX1srCKqoNqqAB0AFLRRVnKFFFFABXhH7THgiTX/HLSRaG/m6voS6YLy3Ri8qBpiE7jKmaRhx/EScivd6K8vN8sWbYJ4dz5U2nffY6sHinhK3tErmd4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFemlZWOZu7Cv5UPjb8Y/2qtO/bQ174w/EXxRrul/FnTvGDzXV9L+4vLG/ik2Iir0RUCqioPkCAKMrX9V9eZat+xp+y3r37QVr+1VrHwP0G4+IVmirb+KZbYm4XbEYlYjO1nWM7Q5UsAFwRtGPn+IMmr5xCkqdTk5Hfr9+nVdPV6o/X/CPxKy3w5r46eMwft1XpqK2umr+67/8ALud/ftd+7H3WfIej/GP4d+I/BVhYfEz9tybUmu9LgGvaPqXxGsGt7iRo1M0MiJjKFtwKgjjjNfU/7L/g022u698SXabOq2FlYx7gPLdIJLmTevGTk3JBOSPlHoa9e+xWf/PpF/37FSAAcAVz4DhuthMwhiq2JlUcU7JrurbuTPzbF5pDEUZU4UlBSd9Nt77WCiiivqTyAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/wDBV39iL9qX9oTU/wBmX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wAE/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/AMW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/gpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/bN/4Ki/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wcX2Fx8c/hdF+zf4H+BX7QevfEiKyt7/4ZS/D3Rbu48J6xfzX0GbbWNhNpKkP2VHKXqhVWUmMnc1fpJ8PYvE8HgDQ4PGtvaxaymj2y6vFZKBCl0Il81YwOAgfcBjtigDYooooAKCQoLMQAByTRXif/AAUb8IftLfEL9iP4i/D/APZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/4KC/sv8A7fMXje7/AGYfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/7CngT9pnS/wBonXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/ANlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/AIOCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/2Q==", 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", "info": {"equation": "95/5=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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xlqn7InhnwDb63dXixeNT4Sv4bma3l8yVlhmVJH+zfOJf3eEGUPHyDHKf8FIPgr8KPjhofw98A/FrwHY67o0njGed7C7DKhkj0q+KNlCrZBJ71+b4nhrFYLJ6lR4puKTfKr8r19fv03P2rj7xIwPGfHVHG0cNPCKMIwcrL22zbdk430lyxXOrx3aTssT/AIJK3t0ngH4i+E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuslg6eUUE3f3IvXzV/w2PyHiXHwzPPa+JhGylLru7JR5pW3nO3NN9ZNsKKK4j41fEOHwpob6DYyN/aOoQlYdoH7tCcM5/UD3+ldGOxlHL8LKvVdlFff2S83seRQozxFVU4bs8R/aq+Ivifxt4osfh58M7kf254h1IaF4WYIjiGRlZ7m+KNIodIIY5pzg/MIkXqwB+hfhX8NPCnwc+HOi/C7wRYC30vQ9PjtbRABuYKPmkcj7zu252bqzMzHkmvDv2MfAUvjbxzrf7S2vWbLawfaPDvgaKUqdtpFMFvbwKYwyGe4hCL8xzFbRsMBzn6RrxuHMJVVGeOr/wASs+Z+Uei+79Ox25lVhzqhT+GGnz6sKKKK+kPNPjL/AIL3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj//AMEXPin4u+H/AO1PcaHZ/Ge88FeGdX0OdvE99a6xb2CyiFGNsrSzAgHznGFXk7j2zj+kPW9L0bW9FvNF8RWFtdafeWskF/a3kavDNC6lXR1bhlKkgg8EE5ryT9jf4PfsN/C7wVq0H7EGj+CF0O91QNrNz4N1SK/jkuljXCSTJJIdyoykIW+UPkAbyT8pnGQV8xzOnXp1+Syt1uv8Oq3vrqftfCfiXgch8MMx4eqZf7WdaV1UsuVcyS/eNpvmhy3p769rXfylr/hj9kf4+a+NR+LXxV0L4pXem6PdR20XjDxda6pHplmwBuZYogwSDIC759oZQifOu0V9A/8ABKbXvGev/sjWr+I9T1O/0az8T6tZ+AdR1dMT3fhyK6dNPk3dZE8kBUkPLRqhyQQxwP8AgoV+zv8ABD9oH4s/Drw78aPhnpviKxsND125s7a+DhYpTcaUpcbGUn5SRg5HPSvYv2MLS1sP2U/ANhY20cEEHhq3igghQKkaKuFVVHCgAAADgAVwZDgauD4jxFOdVzcYq7fW9nrq9tlqfH5lndGvwhSwi5pSlO9pW5KSjz6U9W7z5ry92CVrWle69Oooor7o+EPEvjp8Df2BvHX7QXg7xt+0H4b8A3HxJtWhXwW/iDUIYtRnMcxeJYYWkU3G2UkqNr4YnHJr2k2doTk2sf8A3wK/mQ/4Kv8AxA/aF1L/AIKSfEjXPjFqusWmvaF4vng8MvNugkstLhnZtOa3242J5JjlVl+8zl87mJr9Tf2bv2kp/EHwI8FeKfjD+3jqdv4qvPD1nc+ILSf4hafDsumQM6tEF+TnqvbpxXw0OMMHh8VWhOg1aVrxSu7aXltr95+5ce+FuY8N8MZTjqmYquq0NINu1O6U7UtXeGurSjrZ297T9JVVUG1VAA6AClryr9m3xf4j8ZC91mXWm1PSbqBLi1vxP5sUjP8AMDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BRRRXec4V/NZ/wXH8XfHLxN/wUk+IFh8bZdRWPSb8WnhC2vYtkUWjAbrYwAfKUcMzlh952fPzZA/pTr4k/4KEfs4/Ar43/ALQt74j+Lnwv0vxBe+HfhlZy6LNqKO32Vzdam5IUMFYFo0OGBHy9OTn5LjSk55Pz81uWSdu99P1ufrvgxxzgeA+KZ4zFYf2sZ05Q0tzRd07xvpZ25ZbaO+trP2r/AIJqa/8AGPxR+wb8LNe+P1vdxeLLjwnAdSF/aiGdkBYQPIgxtdoBExyASWJIBJFe41znweYt8JPCzMck+HLEkn/r3Sujr6fDwdLDwg3eySu93Zbn5hmmMjmGZ18VGmqaqTlJRj8MeaTfLHyV7LyQV/KV8e/ip+0237Y+vfFb4r61q9n8VNP8Z/abq5vIxHc2Oo28w8pVQ5VBEY41RR8gVFA+UCv6ta8S1/4G/sD6l+2Hp3xP8R+G/AL/ABtW0WXTnudQhGsyRJA6LMtsZN0hWFXAk2EhU4ICDHhcQ5PVzaFJQq8nLLr1v+q6er1P1bwf8RcF4fV8wniMC8T7alZWSvHlu7SvtSlf949fhi7M+VL3x/8AB/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf/wUUvfB37Nfh+w0vw/qfw0e5+KWleHbCFLC1vYriJdHkk8sYguJIpL7CDbvjQOVOd5+n/21/D+ia3+yP8RtF1bSoJ7S88I3sF1A8Y2yRvEVZTjsVJH415R/wT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfPwyrEYHiTCwqYiVRtSd3e+iemrej6nzmC4gw8OH8bHlkudOKpK3srzsnOWvxQsnBKD96MW5Lls/qyiiiv0M/Pj8Jf+Dnnxd8cbr9rvw14J8VT6jH4DtfC0d14St2j22k10zMt5IpHEkoIiVs8qpXgBst6X/wSU/aK8U6p+x9YWPxp/bP1nw+2k6tNp3hnS5vHFnZmHSoooViVY5QX2B/OVS38KgD5Qtfqh+0N+yx+z1+1f4Ys/Bv7RPwo0rxXpunXv2uxt9SRs282xkLoyFWXKsQQDg8ZBwMdf4e8JeF/CWgWPhXwx4fs7DTdMs4rTT7G1t1SK2gjUJHGigYVVUAADoBXxmJ4YxtfM6uJhiXBS7Xv6PVaLoftea+KmVZh4Y4DhiOASq0JXc3y8ul/ejo3zzvebdtb730+Wv2fvDHg74m61oNx4I8YjXrDTvEf9q3WtWWpx3n2i6SR5pGmmTKlnkclsYOW4xX1rTY444l2xRqo9FGKdXt5LlP9kYeVN1HNyk5NtW3t5vt3PyDG4v65UUuWyStYK8D/wCCovir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wSu+LfxH+Gn7ZPhyLwh8XtR8I6br0rWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9O/A79jP9ln9mrxDr3iv4EfA3QfDGoeJpA2t3WmWpVrjDs4UbiRGm52OxNq9OPlGPSVtbVGDJbRgjoQgr4ajwbjY4b2UsW0ne8Um4/8ApS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthXI/Eb4RaX8Q9QtdSuNTltZIF8uUxRhvMjyTjnoQScHkcng111FTi8HhsdQdGvHmi+np6Do1qtCfPTdmR2dpBYWkVjaxhIoY1jjUdlAwB+QqSiiuhJRVkZNtu7CiiimB8Zf8F7/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+pPICiiigAooooAKKKK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"info": {"equation": "95/5=19", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "668f7d62c82ca149dc2e9a1868cda1e87f5bd487fc64792bf87422cb2829fa2d"}
+{"episode": 86258, "episode_seed": 1490944906, "split": "train", "timestamp": "2025-10-28T03:51:07.353026", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1490944906, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 1, 3, 4])</answer>", "action": "('move', [0, 1, 3, 4])", "reward": 0.0, "image": 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", "info": {"equation": "63-6=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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j/ZvnEv7vCDKHj5BjlP8AgpB8FfhR8cND+HvgH4teA7HXdGk8YzzvYXYZUMkelXxRsoVbIJPevzjE8NYvBZPUqPFNxSb5Vflevr9+m5+08feJGB4z46o42jhp4RRhGDlZe22bcrJxvpLliudXju0nZc9/wSJEemfDz4j+Dfh+zv8AC/Q/iPdW3wwkjRTai0aGKW9itJVz59umoPdoj5YcEBjjj65rxj9gXwr4b8C/s3Wngvwbodtpmk6V4l12103T7OPZFbwpqt0FRR2AH4nqck17PX3GS03TyihFu/uR/FX/AA2R+RcS4+GaZ7XxMI2Updd3ZJc0n1nO3NN9ZNsK/nV/4OE/Fvxw13/gpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/wDsc/sv/tT32i6n+0L8E9D8WXHh6R30ebVbcs1vvKllypG5SUUlGypx0rDP8qq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/BP/wDaU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8F7/ABd8c/Bv/BNvxXf/AAMl1GGS5v7W08VXOlxbpYdGkLrckkfMiE+WjsvRHbOFLEfj9/wRc+Kni74f/tUXGhWfxnvPBXhnV9CnbxPfWus29gsohRjbK0swIz5zgBV5O49s4/oT/alghuv2Y/iNa3EQeOTwHq6ujDIYGylBBr52/YB/Z0+Bn7Pvxy1fQvgt8MNL8O2upeC0uL+KxRibiUXYVWZnZmOBwBnAycDk5+E4gwFXFcQ4aMKrg5ppNfZ5U3pqtz9w4R8R8uyLwtzLh+rglUqVpXU9LPm5Ved9eanbmha+ttrXfmOv+GP2R/j5r41H4tfFXQvild6bo91HbReMPF1rqkemWbAG5liiDBIMgLvn2hlCJ867RX0D/wAEpte8Z6/+yNav4j1PU7/RrPxPq1n4B1HV0xPd+HIrp00+Td1kTyQFSQ8tGqHJBDHA/wCChX7O/wAEP2gfiz8OvDvxo+Gem+IrGw0PXbmztr4OFilNxpSlxsZSflJGDkc9K9i/YwtLWw/ZT8A2FjbRwQQeGreKCCFAqRoq4VVUcKAAAAOABTyHA1cHxHiKc6rm4xV2+t7PXV7bLU+KzLO6NfhClhFzSlKd7StyUlHn0p6t3nzXl7sErWtK916dRRRX3R8IeJfHT4G/sDeOv2gvB3jb9oPw34BuPiTatCvgt/EGoQxajOY5i8SwwtIpuNspJUbXwxOOTXtJs7QnJtY/++BX8yH/AAVf+IH7Qupf8FJPiRrnxi1XWLTXtC8XzweGXm3QSWWlwzs2nNb7cbE8kxyqy/eZy+dzE1+pv7N37SU/iD4EeCvFPxh/bx1O38VXnh6zufEFpP8AELT4dl0yBnVogvyc9V7dOK+Ghxhg8Piq0J0GrSteKV3bS8ttfvP3Lj3wtzHhvhjKcdUzFV1WhpBt2p3Snalq7w11aUdbO3vafpKqqg2qoAHQAUteVfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1Wvqssx8MzwccRGLinfR+TsfiuKw8sLWdNu9gr84/8Ag5k8XfHHw3+xNoumfDabUYPC+reKVtvHk9hH8pt9m63imccpE8wHoGYIpPIB/Ryud+Lfhf4Y+Nfhhr/hb406dpV34SvNJnTxHDrbKtp9j2EytKzkBFVQWLkjbt3ZGM08ywssbgKlCMuVyVr/ANdO/kfQcE57R4Y4sweaVaPto0ZqTh36af3le8f7yR+BX/BDD4veKPBvjzxp4O1b9oG+8D+D59HS9m+z+ILbTkuNTE0UcXzzAlz5PnfKvGACf4a+9fG/gX9ib4wR+IPH/wAX/iJoHj+8tdCEWp+JPEfiq21G60ewR9yeS4YCzAlO4MgQs7YLHOK+1v2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHzd/wAFBf2a/gL8av2hL7xD8WPhVpOvXnh74Z2c2jTX8bEWzm61NyQoYK4LRocMGHy9OTn87zXh/FZdk3tZYlyire6r8ur6a+fY/SOIOPcFxP4i1szp0amDjLRuCXtvdSXvLmguaTS5vefLppJrX3b/AIJ3+Jfi54w/Yn+HPiX46TalL4mu/D6ve3Gs24ivLiHzHFtNOvGJXtxC7ZAJZiSASRXs9c58HmLfCTwszHJPhyxJJ/690ro6/TMPB0sPCDd7JK73dluz8czPFxx+ZVsTGCgqk5SUY7R5m3yryV7LyCiiitjiPgr/AIOM/Fnxy8K/8E77lPg9LqMWm6l4ntbHx5cadFkpo8kU+5ZGHMcT3Ato2I+8H2H5WIPxN/wa56/8Yrb9qjxx4b8OwXb+B7rwgs/ih1tg0Ed9HMBY7pCPkcq92FUH5gH4O3I/X39tnStO139kb4jaHrFmlxaXvhC9t7u3k+7LE8RVlPsQSPxryX/gnt8CPg7+z58U/Hng34J/DvTvDemXPh/Rbq4tNOVsSzG51Rd7M7MzHaoAyeAOMV8ZmGGk+LsNPnesW/TlT09H1+Z+2ZD4iZflvhBj+Gp4NSq1Z3U9Le84+9Lrzwt7jXltbX6rooor7M/Ez4m+PPjHXov+Cjer+H/if4jubLS7P4b2knw0sLyRYbO6EksravNESR506GG0Djkxxc4CnJ8U/Zg/aK0PV7Xx4mo/tu6lpOh2nxN1eHwbbJ410+yjOm7o3LRIVy8X2p7sJIc70CkEjBP6CftDfssfs9ftX+GLPwb+0T8KNK8V6dp179rsbfUkbNvNsKF0dGVlyrEEA4PGQcDHX+HfCXhfwl4fsfCnhjw9Z2GmaZZxWmnWFpbqkVtBGoSONFAwqqoAAHAAr4zE8MYyvmdXEwxLgpdr39HqtF0Puq/EuSzyWFGOGvW5YQldRUIqCtzwesnOpZOd0rPm1lzLl+W/2fvDHg74m61oNx4I8YjXrDTvEf8Aat1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/ZGHlTdRzcpOTbVt7eb7dz5HG4v65UUuWyStYK8D/4Ki+Kvjf4I/YA+KPir9nN9QTxfZeHd+nTaTDvuYITNGLqWIdQ6WxncMPmUruXkCvfKOvWvTr0nWoSpp25k1dbq63XoaZTjoZZmtDGSpqoqU4zcJfDJRknyy8pWs/Jn8wX/BK74t/Ef4aftk+HIvCHxe1HwjpuvStaeLtRtNXjtFk08Ayv5kk3yDDIpBPzZ4HJwf2T8N/EX4Y+LvFOn2n/AA1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9O/A79jP8AZZ/Zq8Q694r+BHwN0HwxqHiaQNrd1plqVa4w7OFG4kRpudjsTavTj5Rj0lbW1RgyW0YI6EIK+Go8G42OG9lLFtJ3vFJuP/pS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthRRRW5mFFFFABRRRQB80/8FWPEPjHw9+zHY/2Jqmoaf4dv/HOj2XxG1HTFAe18Oyz7btnfrFCx8qOWQfdikfJC7mHzJ8Z/jppHhv9r/4ceHfC37ST+FrW+8MavL4vOkeIbO1i+w+XFJYySTSZ2lp2HlgH50ZiAVBI/SjWNH0nxDpF1oGvaZBe2N9bPb3tndRCSKeJ1KvG6sCGVlJBB4IJFcF+z1+yP+zZ+yjoOoeGv2ePg9o/hWy1W7W51KPT4mLXMqrsUu8jMxCjOFzgbmIALHPyub8P4nMsyhiaddwSVut1v8Oq3vrqvmfbZRxDk+CySWHxGH56sfaKOkeSXtIqPNNv3lKn8ULKSb5fg5W5fMvgTx18PfGXi+H+x/2iD471uK0kjsbe68W22oz28LPG0oijhwQGaOHccH7idO/1x8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PmsZj44qnGEYKKXb/hkFFFFfQnnHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/wDfAqSiojSpwk5Rik3vpv69zqr47G4qlTpVqspRpq0U5NqK3tFN2ir62VhFVUG1VAA6AClooqzlCvzj/wCDmTxd8cvDf7E2i6Z8Np9Rg8L6t4oW28ez2Efym32breKZxykTzAZ7MwRSeQD+jlY3xC+Hvgn4seB9V+GvxI8MWmtaDrdk9pqul38W+K5hcYZWH6gjBBAIIIBrizLCSx2BqUIy5XJWv/XTo/I+n4Lz+hwtxVg82rUVVhRmpOD6ryvpzL4ovpJJn4D/APBDX43eOPCfi7xf8O9c/aP1TwV4GGlf2gLeLxNb6fBJqrSwxqymcHLmFZMhOoRd3Ra/THwRqfgL4o32q6X4W+NZ8daxqGnLZ3VyfEkGpXcNt+8VEHk/cQNNIwyv3nPJ6V9VfAv9nH4G/sz+A1+GPwI+GWl+GdCW7kujp2nQna88mN8jMxLOxCqMkk4VR0AA7OOCCI5ihRSepVQK+QhwbipYZUauLfL1ik3H5Xl+nyPqeP8Aj/AcW8W4jNsLhFSjOyV7czskuaVlbmdtbN9ru1yj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfdpWVj8wbuwooopiOa+Megp4o+Fuu+HZtHTUI73TpIZbNwxEqMMMMLyTtzgDviuD/Zi8FSWXiHX/iJOJ1fUrGy09VkACMtvJdSbl4yTm5YE5x8oHBBr2GivLrZZGtmtLGub9xNW6O99b/P8jqhinDCSoW+Jp3CiiivUOUKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiioNVtJdQ0y5sIbloXngeNJk6xllIDD3Gc0AfPH7O//AAVd/Yi/al/aE1P9mX4N/E67vvEtgt81jJdaFdW1hra2U3k3h067lQQ3ogkO2TymbbyeQCa+jq/FT/glb+zf+0zYftE/shfs8eMf2b/HHhS8/ZJsviRH8UPF2t+H5bbSL9tVuZlsV068b5L8XAlWVvLJ2gHd0r9q6ACiiigArw39tn/gon+zB/wT80rw5q37SXiLV7JPFWp/YdIj0fw9c37F98UZeQwoywxh5oV3uVBaRQMk4r3Kvz7/AODj/wAW6tL+wbF8FPB/wj8f+LvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/9kD/AIKZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/bL+LH7a37Rnwb+Jvg/4s+M9ATTdH8NeKPhlqek6V4V8JWV2Ba6el9dQpFe3sskouJSp7kIoVGoA/S+iiigAooooA+d/wBs3/gqL+yZ+wTr1lof7RereKbNLizivL/VdG8E6hqNho9rLP5Ec99dW8LRWiNICq+YwJ2nAr6B03UrDWdOt9X0u7Se1uoEmtp4zlZI2AZWB7ggg1+ZX/BxfYXHxz+F0X7N/gf4FftB698SIrK3v/hlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/8FG/CH7S3xC/Yj+Ivw/8A2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf8AgoL+y/8At8xeN7v9mHxrca7a/D/xZN4d1+9fTpIYWvIxkmB3AE0ZHIkXgggjrXtdfmV/wb6/Cz9pL4J/Fv8AaZ8B/Fb9iX/hUHheTx7p8vh61XxGb63jaHTLa1FpayfZoRewrFEjm8T5WdmTbuUk/prQAUUUUAFfOfxK/wCCoH7Ovwz/AGqpv2OLnwh8Std8ZWb6UNVPhL4balqthpi6iSLWS6uraJorZGAcl5CABG5Jwpx9GV+S3/BVDwB8QtK/btfx/wDsKeBP2mdL/aJ17xf4Qgh1vQbW7j8AatotsFE5v5Yv9Ekhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8fPjr40tfD3hPwxYG71nVrvJSGPIUABQWdmZlRVUFmZgACSK5/8AZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/4OCf2dvjF+0x/wTL8T+CfgdoOsatreleI9D12TSPDo3aheWllqEM862y/xzrGrSIn8TRgAEkCqP/BDa3/aDj+HXxYufiJP8WG+G8/xOmb4KD44PdN4lGjfZovNNx9s/wBJERufN8sS/NgNj5cUAfctFFFAH//Z", 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", "info": {"equation": "63-6=57", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "7e83bf87a44291210359e6137d3a592197fbcbf98401663c91619202e2e9686a"}
+{"episode": 86259, "episode_seed": 2883962829, "split": "train", "timestamp": "2025-10-28T03:51:07.431080", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2883962829, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 0, 8, 6])</answer>", "action": "('move', [6, 0, 8, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "80+58=138", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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w98Pfih4Ls9a0W+8Z25u9OugwSQpa3brkoVbhlB4PavzPHZXXq18wqRrySg7tdJXXNZ69Nloz9szjxAy/Osl4fy+nh3QlhYOEqkLc28YuUFeN7qPM05RvOTV7aun/AMEuHmj/AGS7XStNaR/DOm+KNasvAkrxqFfQor+ZLPyyv+shEY2xvzvjVGywIY/RNeZ/sc6NpPhz9mjwn4e0DTobOwsLKS2srS3QLHBDHPIiRqB0VVAAHoK9Mr7/ACyLhl1GLd7Rjr8kfkmeYyGYZziMTGPKpzk7ere/n38z5Y/bY8T6zpf7U3ws0bxDrk9j4Wl8P69c2SyOsdpc62n2VI1kckZkWzkvmRCeR5rAHYSPnr9qf4jfHt/+CEfjrxT8OtV1a4E+talaafqkFsomm8JvrcsSygoOYWsiB5o+9Cd2cHdX1d/wUN+Enw1+N/w08KfD34teDrXXdEuvHEUlxp14XCOyaffMhyjKQQQDwaPD3h/Q4P8AgmveeE4NJgj0yP4W6hZx2Ece2JLcWk0YiCjooT5QB0FfN1cJOefYv32uaj919Pwtf5s+yyjiPK8rweW4h4ZTqUK0JSTUeWUac5T0e7c+dRldWXIneV7Q+Dv+DVLWPiZL4D+Lmg30Vz/whsGr6bPpkjQAQ/2m8Uq3IV8ZLeSloWXPA2Hjdz+t9fOn/BO/4QfDH4G+HfGXw9+EPgmy8P6LDr9vPHp1grbBJJZwl3JYlmJOOSTwAOgAr6Lr1eGoOGR0Fe+l/vbf4HF4l8RYbizjjGZrQpeyhUkrR0v7sYxu7ac0rc0rX1b1e58df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wAESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/wAOUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+j4b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv51/wDgkh8W/iH4d/bnutU8R/GrVPCkfiDTtSPjfXJNZispp2w0wEs1wDh2uhGSPvE57Zr+k6vKfgR8If2OfA3xK8f+If2efD3g2DxVq+sLJ8Rn8P3cU10L0vK4W6RXYwOXaZthC5JY4zmvMzzJq2aYijKnW9ny39deq1Wumuux+mcD8dYPhjhPOcsq4P2zxcIxUrK0LNr3276Lm5oW+2l3uvhr4z2PwbutJufj58KfiHb+Lvi1a+ItGi8J+LYtct9V1j+0/tCxWlhEynCxSI86PAoCvHJO7A4LL+ndfHPx5+B3wh179u7TvjXrPw+0658V6FrHhW10fXJUYzWkL3g3KgztGfMfnGfmODX2NXNwxhZ4SpioTqObU7XfVpb9dXfX0PmOI81p4/LsFRi5NwjJty6c3KlTjq/cgoXj8OspWit2V/OB+3d8UP2idG/4LT+J/F/iHxRqej+JtH+J0dp4cvpWSB7HS1lEdm0Rf5EjNoyOGPBEhc8sTX9H9fG/xl+CPwl1v9vi2+OGseANPufFuleI/DllpuuzIzTW9u3l7kUZ2jPmOM4zhiM1XFeHliMLRUZuP7yK089L+q3R9R4VcbYLgrHY6ricKq6rYedNJ20bs7O/2JbTW9raO1jzPx9pf7I3x4aSP41/HHSfiTa6Tpd80Nr4q8aWmoRabbPGBc3McaFRGwjUZnI3RgEqy5JP1p/wT/1TxzrP7Ffwz1L4jtetq0nhK18yTUrUQ3EkIXFvJKgACu0AiZhgck5APFeef8FH/gX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/AJFmw6D/AKd4658hwNXBZ1iYVKrm1GGr6317va1lqfNZnm9LEcMUMKuZvncrO3LTUeZWp6v43LmnpFXjH4t101eV/tR/Cj9j/wCKNl4Xi/a50TwfdwWPiOJ/Cf8Awlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/+E93rl74B0+58QtI1yyN882d7JuO0tnnO3H1rlyriLDZviXRpU5Kyvd27pW0b7nymb5LWyevUpVJxlyTcLxd07Nq68nbQ6KiiivoTxTx7/goJ4g+K3hT9iP4peJPge94niuy8FX0ujSadHvuI5BEcvEOu9U3MuOQQCMnFfk7/AMGs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/+CYHwS+EvwTv9ZtPhP4BsNBj1vwdoeoasLFWzdXTNdAyOWJJPt0GTgDJr5jNKEpcQ4KfM18enor/jez8j9T4Y41weT+HGcZFUwynPEum4z00s18XX3bc0LbSbenX69rw//gpX4j+LHhH9gn4reJPgfJep4ns/B11Jp02mx7riJcATSRjqHWEyMCOQVyOQK9wpJI0lRopUDKwIZWGQR6Gvoq9N1qMqadrpq/a63PzvK8ZHLszoYuVNTVOcZOL2lyyT5X5O1n5H88n/AAQy+MHifwZ8SPGfgzVP2hdR8EeEbjREvrhIPEdvp8U+orNHHEczA5bymmyF6hRu+6tffWl+GPgtpfx7+F3xd+BGuWPiD4h6x8XbaK68VWWoQapqWrWs0fl6ulxOCS0MengsQMLCI4doXd832b+yn8JP2Pfhf4N1fTf2PdA8HW2h3OvzS6z/AMIjeRXMP9ohEWRJHR3CuqhB5eRtBGFGa8P8IfBD4RaV/wAFFbj46ad8PtOi8Yah42vLC88QKjefJbLoLgR8naowiDIAJ2jJr86nkGJy/wCqOeIck6kUkr8qu27rXy7Lc/ZOKfELBcR8Z4/NaeHnQjKk1yWXNUago8tbVLle8vi0SjbXmX2LRRRX6Ufhh/NP+z78XPj/AKV/wVr/AOE2+KHxF1Xwx4t1Dx9fWnjfV7i7isp7SFndLqNnlGyFVjUoB0UKoXotfo9+0Ro37K/xR+G/i/4j+Mvi9ZeO/EWh+Epf7I16/wDEttquoaK6MZLU2SocQytd+Vt2rulk2RncCEPunw8+B/wj0n/goLdfG/T/AIf6fF4u1jxpqtlqWvbGM89uulyhYzklQMRp90AnaM5pn/BRH4G/CD4lfFzS/F/j34e6dqup+FPBz3nh27u42JsJzdE+YgBCk5RCNwOCoIxX5LVymusur1vby5Y1XHl1s3zJcz131vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5I/PL9sf4nz+GPH/7S1/8AEn4g3ejXmjeG7IeEPPeKNrbTDpQa1ns0fiUvqcl4m7B3SosfOAtaXwv+KfhLxpbeGYPFP7VkvivX2tIJf7Bv/G9ndj7e1viQpBFgl13SgAZwCeK+v/iT+zD+z/8AGD4j+Fvi98TvhPpGteJfBU5m8LaxewFptPkLK+5CDg4ZVZdwO1hkYPNdwtrao29LaMEdCEFfF4jhTF4jFV6n1pxjUbdkm7p9HqttlvofY47iPKquBw8KGH/eRjHnbUUk4wjBcjV21Llc5NpPmlaztzS5v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrHxk5Oc3LufK/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/ljwt4x+HvxB8UjR9G/aUl8dao9rNDp9hceMLbUZYUfAkaKKEBskBcnB4Ar7Q8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rQS2t423R26KfVUAp9Tk+S1Mrq1KlSs6kp21flfzd9zxsZjY4qEYxgoqN9vP5IK4T44/sx/AH9pa30W0+PPwp0jxTH4d1RdR0VNVgLi1uQMb1wRkEYypyrYGQcCu7or25whUi4zSa7PU58LisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4V4f8A8FK/EfxY8I/sE/FbxJ8D5L1PE9n4OupNOm02PdcRLgCaSMdQ6wmRgRyCuRyBXuFJJGkqNFKgZWBDKwyCPQ1116brUZU07XTV+11ub5XjI5dmdDFypqapzjJxe0uWSfK/J2s/I/nk/wCCGXxg8T+DPiR4z8Gap+0LqPgjwjcaIl9cJB4jt9Pin1FZo44jmYHLeU02QvUKN33Vr9eP2VrDwp4/8daX4t8I/EA+KIdJ1G5vb3XYtWivjcXLWsluRNNHlSwSZflGCAq9gc+0fAn9mD9n39mTw9f+FPgH8JtH8LadqmpvqF/a6Zb7VmuWVVLncSfuqoAHAA4Aruo4o4htijVR6KMV8fgOFMThp0ZVcS2oSUuWz5bp30u/07n6B4kce4HjTifE5nhML7KNVRir25naKjeVtLu3fZLsOooor7U/MD8qrj436toHwh+F+seKPjpf+HPHuq/FqSHxndy6lbWl7BeGe7GswTebkW8cMbuowBsUW4H313e8+AJvAnxq1q68LaB8epvHOpahbJa3EzeKLfUbmzti+DtEQxGmWJJYYz3r6f8AD37Lv7PfhT44a1+0n4d+EmjWnjrxFZLaa14mit/9Ju4QIxtY5wM+TFkgAtsXJOK7qO3giO6KFFPqqgV8LT4PxVnGpinyuV7JOz1vd67v0evc+3zziXK8bXVTBYflvzNtqKalNtuMeW/uQ+GOzau7Rvyp9FFFfdHxAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeP/tm/t1fs5fsEfD7T/iT+0d4ovrGx1bVDYaZa6Ro1xqF3cyrDJPKyQW6NIUighlmkfG1EjZiRXsFfA//AAW48OfEvQPEXwb/AGj/AAf8FvFfj3SPB6+NdG1zQ/BeiSalfJNrfhm70+ym+zx5YxfaSkTv0jWfceAaAPunwr4o8PeOPC+m+NfCOsQajpOsWEN7peoWr7orm3lQSRyoe6sjKwPoav15F/wT/wDhN4z+A37C3wc+CfxFj2a/4T+GGhaTrcW8N5V3b2EMUseRwQrqy577a9doAK5n4zfF7wN8AvhVr/xn+Jd/cW2g+G9NkvtTmtLGW5lESDJEcUSs8jk4CqoJJIArpq5D4/fEDSvhX8E/FPxD1vRNa1K10nRLieew8OaNNqN9OAhG2C2gVpJnOeEUEmgCL9nb4+fDn9qT4HeF/wBof4RX11c+GfF+kRalok97ZvbyvBJ90vG/zIeOh5rtK+Rf+CFOvale/wDBLX4UeDfEHw+8W+GNY8H+H49B1zSfGXhe60m6S7gVWcpFcojSRfvBtlA2sQwByDj66oAKSSRIo2lkYBVBLE9hS0kjiONpGBIUEkAZJoA8S/ZK/wCChX7Mf7a/iPxb4O+BniLWH1bwVLbf23pfiDw3eaXcfZ7kOba8ijuo0aa2mEchjmUFW2nHbPt1fAX/AASH+LOoftPftQfHv9rD4r/CD4jeDvHPiq8sdL0zQfGPw91DSLTSPCunS3MOm28VzcxJHd3MzSXF3P5ZIQ3CIOEyfv2gAooooA8Ruv8AgoV+zRp/7Y9l+wtqWs67a+O9TimOltdeF7yPS76eG1W8ltIb9oxby3CW7LK0SuWVTzg8V7dX57fGfTvFPxN/4Lo/B3xT8Lvg/wDFyO98A2+tWXxD1rxLpVx/whkehTaQ5gu9NlkLW4vZLuWGEvBtmKxyJINqiv0JoAKKKKAPLP2sP2y/gF+xV4T8O+Mv2gPFUumWnivxjYeF9BS2s3uJbvUrxysMSogJx8rMzdFVSTXqdfl9/wAHB/wS/bY+JPibwF8QPgX+y8vxN8KeE5dGazhtPEwtbrStck8T6XK9x9lWCWS4Vra0S3Mw2rbRXNzK25VZa/TvTpr240+CfUbNbe4eFWnt1l3iJyAWUNgbsHIzgZxQBNRRRQB5p+1h+1d8K/2NPhQPjF8XrbXrjTZNastJtbLwxoE+qX93eXcwhghhtrdWkld3YKAoJ5rqfhJ8S9H+Mnw00T4p+H9E1vTbLXdPS7trDxJo02nX8CMOEntp1WSBx3RwCK8K/wCCsPhD4Q+Mv2UPsnxx8HfF3WPD9j4r0zUZD8D7W4l8Q2NxbymW3uoRbfv1VJljy8PzqSp4UMRqf8Epl/aTT/gnf8J1/a8bWT8Qv+EYX+3j4kbOpbfOk+zfaz1+0/ZvI83PPmb885oA+g6KKKAK2s6xpXh7SLvxBruoQ2ljY20lxeXdxIFjhiRSzuzHgKFBJPYCvLv2Qf22PgP+3J4EvviT+z/f63c6RZX4t1udb8NXem/a0aNZIrq3FzGhntpUYNHMmUcZweCKu/trfDXxf8Z/2N/iz8H/AIfEf294q+Gmu6RomX2g3dzp88MIyenzuvNfH/8Awb0eGv2h/CPwW8b+HvibpvxZsfBdjceHrTwVp3xlWddUtb6LQ7WPW44FuP3iWC6grrAo/dBVby/kxQB+htFFFABXz58I/wDgpd+zz8ZP2stU/Ys0Tw18QdI8caZY6jfeV4p+H2oaZZ3trZXKW09xbXNxGsdxF5kiBZIyVcMCCcivoOvlD9nPwP4z+I3/AAVQ+Pn7TfjTwnqlhpPhPwv4f+G/w/utS0+WBL2BUfVtUubcyKBLE1zd28PmJlS1mRnKmgD6vooooAK8C+NX/BTD9kj9n79qHwz+yD8S/Gep23jHxQ+npara+H7q4sbJ7+eS3sEu7uNDFatczRSRxCRgXZSBXvtflB/wUj+Dfxx8Vf8ABZr4f+N/DvwJ8davNHqHw7bwDrOgaFJN4ZltbTWr+bX312VR5Xm21rLHLaGc7o3fdD8xNAH6v0UUUAf/2Q==", 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", "info": {"equation": "80+58=138", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "355172a9c503338214f175ef296652a25a3a7787b411b3f0b6e0e57ae5c6924c"}
+{"episode": 86260, "episode_seed": 2598291422, "split": "train", "timestamp": "2025-10-28T03:51:07.523901", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2598291422, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 1, 2, 7])</answer>", "action": "('move', [6, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+14*6=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18+14*6=102", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "69b70b0b02590bcb9e84647f9bf0aa1544fceff9cd12e68b1d65d25e3b22d569"}
+{"episode": 86261, "episode_seed": 2929680190, "split": "train", "timestamp": "2025-10-28T03:51:07.601394", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2929680190, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 0, 4, 5])</answer>", "action": "('move', [6, 0, 4, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "78+89=167", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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V/iXrH/BMH4dyfEyG4V7dLy30NrmARs+mJcyLbEAYyuwYVj1UKeRgn7BrzP8AY50bSvDv7NPhTw9oOnQ2djYWUttZWlugWOCGOeRURQOiqoAA9BXpldmWR5Muoxve0Y/kjw+Jsyp5zxHjMfCmqcatWc1FbRUpN2+Vz8jf+DqjxH8WLXwf8J/C2ny3qeCLy/1GfVRFH/o8upxrELYSMP4hE9wVU9cuRnHFP/gnl8UfDfjz/gn/AOFvA37Q/wC1ldWlrPpdzpV14TvPHdpYwPpKSvDDbPECsixNAoQgsGZDyea/QD/gob8JPht8b/hp4V+HnxZ8H2uu6JdeN4pLjTrwuEdk0++ZDlGU8MAeDTPD/hbw3F/wTavPDEOhWqacnwu1C0SySELGsAtJkEYA6KE+XA7V8fmOV18Zn1fkryh7ilp1W3LutNL/ADP0afH2Bn4Z5dkEcKlVoV5TdVWvq5NOPXm9+z1XwRs/5fP/APgnH4c8LeAv2gfi34E+DGiWWneCItP0K8u7DRrOKOwttfkS5S5WMxjAka0i095Ix93KNgb+fsGvnT/gnf8ACD4YfAzw74y+Hvwh8E2Xh/RYdft549PsFbZ5sllCXcliWZjgckngAdABX0XX0PDMHDI6CvfS/wB7b/A/P+K8dTzDPatandq0Y3l8UuWEY80rN2lK12ryte3NLd/HX/BebxJ8WPDH/BMnx5d/CWW9ikuHs7XxBNp8eZE0qWdUuckcqjKQjkfwO2eCTX5lf8ESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/w5TPXdn97PFHhjw9418Nah4O8W6Pb6jpWrWUtnqVhdxh4rmCVCkkbqeqsrEEehr5O/aB+BXwh/Zx8Jad8KPgd4BsPDfh6y8BeJJbbS9OQhFeSW1d3JYlmYsepJPQdABXhcW5XVqJ45VLRjFJx7+8vw1v6pfL7vhvjvA4Pw7xHCssKnVrVlUVXTRJRb8+ZcnKracs5aq1peqfsheO9S8d6SNTsvHT+JdHOlxLFrH9oLdJNKmEyJU+RmO1t2O45Gc17XVfSUSPS7dY0CjyE4Ax2FWK+qyvBTy/BqjOo5u7d3vq793+Z+VYqvHEVnNR5V2RzPxpvvG+l/BzxZqfwztnm8SW/hm/l8PwxwiRnvlt3MChW4YmQIMHg9K/nX/4JIfFv4heHP26LrU/Enxq1TwpH4g03Uj431uTWYrKadsNMBLNcA4ZroRkj7xJPbNf0nV8dfsPfA34Q/Dv9pnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJcFUxeOwkYVHBtyV100vdarXSx+n8CccYHhrhHOssrYVVZYqEVGTtpZte9foubmjbaaXe68F+OGjfBDV9EuPjr8NvHFn40+K9p4n0P/hEvFX9s22r6uNWS6RLGyiYEhY3BmDQKArI00jAlS6/p/Xxz8efgd8Ide/bu07416z8PtOufFehax4VtdH1yVGM1pC94NyoM7RnzH5xn5jg19jVfDGFnhKuKhKbm1O131st+urvr6HyvEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7K/nA/bt+KH7ROj/8Fp/E/i/xB4n1TSPE2j/E5LTw7fSlIHsdLWUR2bRF/kSM2jo4Y8ESFzyxNf0f15Vr/wAJf2PdQ/av0f4n+JNB8HP8Y7bQHj0We5vIhq50/wDeozxwF9zoA0yeZsOAWXdgYrvz7K6ma0KcIVOTlknf/LzXQ+k8LeOMJwPjcdWr4P6wq2HnTSsnZuz96/8Ay7drT8rPW1j5A8faX+yN8eGkj+Nfxx0n4k2uk6XfNDa+KvGlpqEWm2zxgXNzHGhURsI1GZyN0YBKsuST9af8E/8AVPHOs/sV/DPUviO162rSeErXzJNStRDcSQhcW8kqAAK7QCJmGByTkA8V55/wUf8AgX8H/jfJ4L8PfFv4eadr9jYrqt9aWl9G2xLhIoAr4UjdgMwwcg55Br334K/8kc8JcD/kWbDoP+neOvKyHA1cFnWJhUqubUYavrfXu9rWWp89meb0sRwxQwq5m+dys7ctNR5lanq/jcuaekVeMfi3XTV5X+1H8KP2P/ijZeF4v2udE8H3cFj4jifwn/wlt7FAp1JgdkcJkdfNdwP9V8wfaMqcDHqlfht/wdGeKPi6P2rPAPhnU7q/i8G2vgz7Z4cUKVgbUWuZVu3Vh96RUS0B7qCuMbufbzzHwy7LpVpQ51dKz21fX+t7Hq+FfCmI4z4zo5dRxTw0nGcvaRvzLli9I2au3s9V7vM+lj9xfslqG3C2jznrsFSV+b37Hf7S19rnwT+H3iX4nftr6hd+LtQ8P2jato2o+O7I+bdSx7fLeAAPuO4fLndux3r7/wDhPd65e+AdPufELSNcsjfPNneybjtLZ5ztx9a5cq4iw2b4l0aVOSsr3du6VtG+58pm+S1snr1KVScZck3C8XdOzauvJ20Oiooor6E8U8e/4KCeIPit4U/Yj+KXiT4HveJ4rsvBV9Lo0mnR77iOQRHLxDrvVNzLjkEAjJxX5O/8Gs2t/E9P2nfiRoemJdP4RufBcVxr0ggDRLqCXaCz3OeVcxyXuB/EAxP3a/b6/YrYzMp5ETEfka+R/wDgmB8EvhL8E7/WbT4T+AbDQY9b8HaHqGrCxVs3V0zXQMjliST7dBk4Aya+YzShKXEOCnzNfHp6K/43s/I/U+GONcHk/hxnGRVMMpzxLpuM9NLNfF1923NC20m3p1+va8P/AOClfiP4seEv2Cfit4k+B73qeJ7PwddPp0umx7riJcATSRjqHWEyMCOQVyOQK9wqj4mLDw3qBXqLGXH/AHwa+ir03VoSgna6av2utz87yvGRy7M6GLlBTVOcZOL2lyyT5X5O1n5H89v/AAQw+Kut+Cfin428Naj8fL3wP4YvfD8V1eSW3iC205bq+jnVIAXmBLERyXPyr7k9BX6BaJofwh0H47/DT4r/ALP/AImtdc+IHiH4s21tqPifTtTh1LUdbspVA1aK7mViZLeKxQSFeFgMMBUISN3s/wDwTF+Bfwe+CQ1/RfhN8O9N0K11Pwt4fv8AUIrKNj9ouX+2hpGLkknAAxnA7AVR8IfBD4RaV/wUVuPjpp3w+06LxhqHja8sLzxAqN58lsuguBHydqjCIMgAnaMmvy7BZZXWEwWIdeXLKpFKPSPvPVa+Xbqfs/FviBl/EHGuYZpRoypQlStyq16loRjarZpcr+18WiUba8y+xaKKK/Vj8JCv5+/+DiDxd8dH/wCCn4sNRm1RLLRdF0l/hxGsB2hGjSR5IAB+8Y3omUtgktGF6Kor+gSvjj/gop8E/hN8T/i7pfjH4g+ArDV9T8KeDXu/Dl5eKzNYTm6J8xACFJyiH5gcFQRXzPFtF1cnbUrWlF+utv1v8j9Q8I+McHwRxY8wxOH9tGVKpC2l02k01fTXl5X/AHZS32f1R8KrzxfqHwv8N6h8Qbdodfn0Czk1yJ4whS8aBDMpUcKRIWGBwK36KK+liuWKR+Z1ZqrVlNJK7bstlfovJBXn37SOkDU/BFpcHTBcGx1WO4V9pJgOyRN4x7OV54wxr0GiuXH4T69gqmH5uXmTV+xWHq+wrRqWvZ3OX+C3hI+B/hbo3hljLugti7CfG8NI7SEHAGMFyMe1dRRRW1CkqFGNNfZSX3KxnOTnNy7nyv8AtseKNZ0v9qb4WaN4h1yex8LS+H9eubJZHWO0udcT7KsaSOSMyLZyXzInceawB2Er83/s9fHfwN4q+GGo2njT9tC6XSZPFGuWmm6LeeN7C2t5tHW/njt4zCAD5TQAAcgshBzzmv0G+Ov7PnwX/aa8AyfC749fDvT/ABPoEl1FctpupIxQTRklJFKkMrDJGQRwxHQkHpNG8NeHvDuj2nh/QdEtbOxsLaO2srS3gVI4IUUKkaqBhVVQAAOgFfLY/hvF4zMqmJhiXBSSVle+itbdadfmz6/+38qjkFHCrD3rRdm2o8tk5yTT1blLnSkmlZQTTlzWh59+zB4XGlaBq/igNJ/xPNQjmXdjYVjgjiDJxyDt68+1en0AADAFFfRZfg1gMFTw6d+VWv3PlMRWeIryqWtcK8a/aq8Cv42utN04aW7G+0670xbyBSZEW42B0HUD7isMj+E9ga9lorPNMAszwUsO5cqdtfRp/oVhcQ8LXVRK9r/kMtoRb28dupJCIFBPsMU+iivQOc5f43X/AI50r4L+L9U+GFs83iW28L6hL4dhihEjSXy20hgUK3DEyBBg8HpX5vWfxv8AC3hu5+ANj4U/aZvtAi1fw1fv4g1NfEFrbXN1Z/YUaSW6lmyY5TqMcKsOCZfOUj5GC/qTXA/Cz9lv9nn4JeMvFPxC+FHwj0bQta8bX32zxTqNjbYk1GffI+98kgfPLI2FwCXJxmvnc7yXEZrXozp1nT5L7Xvr1Wq16b7H1eRZ3lmXZbiKOJo885XcNI2bcZQtNvVKPNzwsn7ys0r80fn34CR+Dfiz41tG8LfF2TxpPb67Y3uqasuvwajPGLaVZoo5Hi+VE/dkAEAnc2Dk8fYFNjhhhz5USrnrtXFOrqybKpZVSnGVV1HJ3bfol3f5ngYzFrFzi1HlSVrBX84v7cfxd/aV8M/8FqvFPjTU/GWsaF4o0n4kiw8P6h5q20lnpBkENr5Zb5EiazkU7j8rLKzN95q/o6rg9W/Zg/Z+13476f8AtO6x8JtHuPH2l6abCw8USW+bmG3IkUoDnGdssi7iNwViM44rPPcprZtRpwp1ORxknf8Arquh+heGPHmA4DxmNrYrCquq9CdJLTRuzSd/sStaaWtraO1j5Y8LeMfh78QfFI0fRv2lJfHWqPazQ6fYXHjC21GWFHwJGiihAbJAXJweAK+0PBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq0EtreNt0duin1VAKfU5PktTK6tSpUrOpKdtX5X83fc+AxmNjioRjGCio328/kgrhPjj+zH8Af2lrfRbT48/CnSPFMfh3VF1HRU1WAuLW5AxvXBGQRjKnKtgZBwK7uivbnCFSLjNJrs9TnwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hXjn/BQbXPHvhv8AYu+Imt/DW81G21WDw85N3o8PmXdtal0F1NCP+eiWxmdSMkFQRyBXsdJJHHLG0UqBlYEMrDIIPY1116brUJU07XTV+11ua5dioYDMKOJlBTVOcZOL2kotOz30drPRn5r618b/AAZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfoX9law8KeP/AB1pfi3wj8QD4oh0nUbm9vddi1aK+NxctayW5E00eVLBJl+UYICr2Bz7P8CP2Xv2fP2Y/D1/4U+AXwl0fwtp2p6k+oX9rpdvtWa4ZVUudxJ+6qgKPlUDgCu7jijiG2KNVHooxXx+A4UxOGnRlVxLahJS5Uny3Tvpd/jbue9nWd5biKrhgaTUOXlUpJKcu8pKN1e7slzOySV3YdRRRX2p8oFeLftMfDweOfF2naYNMkB1XTjp7Xtup8zYZCWXJyo2g7hkdyTwK9porz8zwCzLCOg5cqunf0aZ0YXEPDVfaJX3/FBRRRXoHOFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXj/7Zv7dX7OX7BHw+0/4k/tHeKL6xsdW1Q2GmWukaNcahd3MqwyTyskFujSFIoIZZpHxtRI2YkV7BXwP/wAFuPDnxL0DxF8G/wBo/wAH/BbxX490jwevjXRtc0PwXokmpXyTa34Zu9Pspvs8eWMX2kpE79I1n3HgGgD7p8K+KPD3jjwvpvjXwjrEGo6TrFhDe6XqFq+6K5t5UEkcqHurIysD6Gr9eRf8E/8A4TeM/gN+wt8HPgn8RY9mv+E/hhoWk63FvDeVd29hDFLHkcEK6sue+2vXaACuZ+M3xe8DfAL4Va/8Z/iXf3FtoPhvTZL7U5rSxluZREgyRHFErPI5OAqqCSSAK6auQ+P3xA0r4V/BPxT8Q9b0TWtStdJ0S4nnsPDmjTajfTgIRtgtoFaSZznhFBJoAi/Z2+Pnw5/ak+B3hf8AaH+EV9dXPhnxfpEWpaJPe2b28rwSfdLxv8yHjoea7SvkX/ghTr2pXv8AwS1+FHg3xB8PvFvhjWPB/h+PQdc0nxl4XutJuku4FVnKRXKI0kX7wbZQNrEMAcg4+uqACkkkSKNpZGAVQSxPYUtJI4jjaRgSFBJAGSaAPEv2Sv8AgoV+zH+2v4j8W+DvgZ4i1h9W8FS239t6X4g8N3ml3H2e5Dm2vIo7qNGmtphHIY5lBVtpx2z7dXwF/wAEh/izqH7T37UHx7/aw+K/wg+I3g7xz4qvLHS9M0Hxj8PdQ0i00jwrp0tzDptvFc3MSR3dzM0lxdz+WSENwiDhMn79oAKKKKAPEbr/AIKFfs0af+2PZfsLalrOu2vjvU4pjpbXXhe8j0u+nhtVvJbSG/aMW8twluyytErllU84PFe3V+e3xn07xT8Tf+C6Pwd8U/C74P8AxcjvfANvrVl8Q9a8S6Vcf8IZHoU2kOYLvTZZC1uL2S7lhhLwbZisciSDaor9CaACiiigDyz9rD9sv4BfsVeE/DvjL9oDxVLplp4r8Y2HhfQUtrN7iW71K8crDEqICcfKzM3RVUk16nX5ff8ABwf8Ev22PiT4m8BfED4F/svL8TfCnhOXRms4bTxMLW60rXJPE+lyvcfZVglkuFa2tEtzMNq20VzcytuVWWv0706a9uNPgn1GzW3uHhVp7dZd4icgFlDYG7ByM4GcUATUUUUAeaftYftXfCv9jT4UD4xfF6216402TWrLSbWy8MaBPql/d3l3MIYIYba3VpJXd2CgKCea6n4SfEvR/jJ8NNE+Kfh/RNb02y13T0u7aw8SaNNp1/AjDhJ7adVkgcd0cAivCv8AgrD4Q+EPjL9lD7J8cfB3xd1jw/Y+K9M1GQ/A+1uJfENjcW8plt7qEW379VSZY8vD86kqeFDEan/BKZf2k0/4J3/Cdf2vG1k/EL/hGF/t4+JGzqW3zpPs32s9ftP2byPNzz5m/POaAPoOiiigCtrOsaV4e0i78Qa7qENpY2NtJcXl3cSBY4YkUs7sx4ChQST2Ary79kH9tj4D/tyeBL74k/s/3+t3OkWV+LdbnW/DV3pv2tGjWSK6txcxoZ7aVGDRzJlHGcHgirv7a3w18X/Gf9jf4s/B/wCHxH9veKvhprukaJl9oN3c6fPDCMnp87rzXx//AMG9Hhr9ofwj8FvG/h74m6b8WbHwXY3Hh608Fad8ZVnXVLW+i0O1j1uOBbj94lguoK6wKP3QVW8v5MUAfobRRRQAV8+fCP8A4KXfs8/GT9rLVP2LNE8NfEHSPHGmWOo33leKfh9qGmWd7a2VyltPcW1zcRrHcReZIgWSMlXDAgnIr6Dr5Q/Zz8D+M/iN/wAFUPj5+03408J6pYaT4T8L+H/hv8P7rUtPlgS9gVH1bVLm3MigSxNc3dvD5iZUtZkZypoA+r6KKKACvAvjV/wUw/ZI/Z+/ah8M/sg/Evxnqdt4x8UPp6Wq2vh+6uLGye/nkt7BLu7jQxWrXM0UkcQkYF2UgV77X5Qf8FI/g38cfFX/AAWa+H/jfw78CfHWrzR6h8O28A6zoGhSTeGZbW01q/m199dlUeV5ttayxy2hnO6N33Q/MTQB+r9FFFAH/9k=", "info": {"equation": "78+89=167", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "325f2c6e8b2c063a5c7f79559531963bd4834c673bda2e269d038cbce48a476a"}
+{"episode": 86262, "episode_seed": 1982102070, "split": "train", "timestamp": "2025-10-28T03:51:07.669655", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1982102070, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 1, 2, 1])</answer>", "action": "('move', [7, 1, 2, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "7+9*1=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "7+9*1=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "6d4598eca13b94e5860679b3c7981a308fe309a67e104ec5823ee59dcae82cf7"}
+{"episode": 86263, "episode_seed": 3050399140, "split": "train", "timestamp": "2025-10-28T03:51:07.742503", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3050399140, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 4, 2, 7])</answer>", "action": "('move', [1, 4, 2, 7])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "79+27=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "79+27=106", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "15b93d1daec20b9511102c2437b7c1c28ef606926ff533c0539970fe530b1892"}
+{"episode": 86264, "episode_seed": 2119534457, "split": "train", "timestamp": "2025-10-28T03:51:07.808273", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2119534457, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 4, 2, 7])</answer>", "action": "('move', [6, 4, 2, 7])", "reward": 0.0, "image": 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", 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", "info": {"equation": "32+22=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "32+22=54", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "17c12133a2d97913c31ab65e7a9efe1f43c5eaa979359a1024792c3b9af13d44"}
+{"episode": 86265, "episode_seed": 4083637941, "split": "train", "timestamp": "2025-10-28T03:51:07.870314", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4083637941, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 6, 5, 4])</answer>", "action": "('move', [1, 6, 5, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+2*6=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+2*6=22", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "36ffd608707e0c8e7882772d5e05812298b33f364ca78525312d749dd28e42f9"}
+{"episode": 86266, "episode_seed": 3471079322, "split": "train", "timestamp": "2025-10-28T03:51:07.920528", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3471079322, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [8, 1, 0, 1])</answer>", "action": "('move', [8, 1, 0, 1])", "reward": 0.0, "image": 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", 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", "info": {"equation": "95+21=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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qtNPz0P0mfiDhJ+G+XcPLB8tShWlP22murfuvfn99c2qsow1193wn/gnRpGg+Cfj18Vvh18H9Ot7HwHZ6dod3Jpek28aadY69KLoXSQ7PlSRrWPT3kjGACyMQC+T9e186f8E7/hB8MPgZ4d8ZfD34Q+CbLw/osOv288en2Cts82SyhLuSxLMxwOSTwAOgAr6Lr1eGouGR0E3fS/3t6fI+D4rx1LMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t38df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wAESvG3xC1XwD8V/A2seJbubwzovg68uNE0+WcGKyuZwPtLxjqm8RQE/wAOUz13Z/ezxR4Y8PeNfDWoeDvFuj2+o6Vq1lLZ6lYXcYeK5glQpJG6nqrKxBHoa+Tv2gfgV8If2cfCWnfCj4HeAbDw34esvAXiSW20vTkIRXkltXdyWJZmLHqST0HQAV4XFuV1aieOVS0YxSce/vL8Nb+qXy+74b47wOD8O8RwrLCp1a1ZVFV00SUW/PmXJyq2nLOWqtaXqn7IXjvUvHekjU7Lx0/iXRzpcSxax/aC3STSphMiVPkZjtbdjuORnNe11X0lEj0u3WNAo8hOAMdhVivqsrwU8vwaozqObu3d76u/d/mflWKrxxFZzUeVdkcz8ab7xvpfwc8Wan8M7Z5vElv4Zv5fD8McIkZ75bdzAoVuGJkCDB4PSv52/wDgkd8Z/id4Z/bdvZPEHx11nwlaeJbLUJfHmqPrsdk91KqySoZ5LjgyfaWXtvy7DozV/SVXx1+w98DfhD8O/wBpnXPHXgn4eadpus+LNN8Q3XiTUYY2Mt/MNYtyGcsTjl2OFwMt0rwOJMHVxeOwkYVHBtyV100vdartY/T+BON8Dw1wjnWWV8KqssVCKjJ20s2vev0XNzRttNLvdS/ASPwb8WfGto3hb4uyeNJ7fXbG91TVl1+DUZ4xbSrNFHI8Xyon7sgAgE7mwcnj7ApscMMOfKiVc9dq4p1evk2VSyqlOMqrqOTu2/RLu/zPzTGYtYucWo8qStYKKKK9g4z8RP8Ag6d8Q/FeT9oP4ceEtTkvV8Dp4Qlu9IQx4tpdUa5kS6O4ffkWEWgwfuq4xjec/ql/wTm1j4m6/wDsJfCfV/jFDcp4jn8D2B1EXkAilP7oCNnUYwxjCE8A5PIBzXD/APBSL4J/Cb45yeCvDvxf8B2HiGxsF1W+tLTUFYpHcJFAFkwpGcBmGDkHPINe9/BX/kjnhLgf8izYdB/07x18vl1Bw4kxkuZvSGnqv0tp6n6nxLxrg848N8oyKnhlCeGlUcp6a3f2evvXvO+8op69Omryv9qP4Ufsf/FGy8Lxftc6J4Pu4LHxHE/hP/hLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/AIOjPFHxdH7VngHwzqd1fxeDbXwZ9s8OKFKwNqLXMq3bqw+9IqJaA91BXGN3Po55j4Zdl0q0oc6ulZ7avr/W9jh8K+FMRxnxnRy6jinhpOM5e0jfmXLF6Rs1dvZ6r3eZ9LH7i/ZLUNuFtHnPXYKkr83v2O/2lr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/8ACe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wAFBPEHxW8KfsR/FLxJ8D3vE8V2Xgq+l0aTTo99xHIIjl4h13qm5lxyCARk4r8nf+DWbW/ien7TvxI0PTEun8I3PguK416QQBol1BLtBZ7nPKuY5L3A/iAYn7tft9fsVsZmU8iJiPyNfI//AATA+CXwl+Cd/rNp8J/ANhoMet+DtD1DVhYq2bq6ZroGRyxJJ9ugycAZNfMZpQlLiHBT5mvj09Ff8b2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XtFFFfTn5YFfzt/sceOv2pdT/4LxaR4j19NWl8c3nxWu7XxbFcWgMsdhvkivEZDwkUdoHAxwiIu3oK/okr488JfBP4S6b/wUXuPjvY+AdPj8Y6j42vLC98QhGNxLbLoLgR8naBhEGQATtGTXzHEdB1a2DkpNfvYrTz6/K34n6n4b8a4PhPAZxQr4ZVXisPKEW7e69VZ3+w+a8ktW4x06r7Dooor6c/LD+af9n34ufH/AEr/AIK1/wDCbfFD4i6r4Y8W6h4+vrTxvq9xdxWU9pCzul1GzyjZCqxqUA6KFUL0Wv0i+Ptj+zH8QvAPir4q+I/jRb+NPFPh3wtI+g+JLnxTb6lqegzRv5to9j5Z/cTG88nYVXfLII4yWBCV7h8PPgf8I9J/4KC3Xxv0/wCH+nxeLtY8aarZalr2xjPPbrpcoWM5JUDEafdAJ2jOaZ/wUR+Bvwg+JXxc0vxf49+HunarqfhTwc954du7uNibCc3RPmIAQpOUQjcDgqCMV+S1cprrLq9b28uWNVx5dbN8yXNvvrfbpuf0BxN4kZbxJxVl+No4Z4ZUqEIv2duZuKcnBapcl/cV3pHVxfwH1T8JbzxjqPwq8M6h8RbZofEE/h+yk12FowhjvGgQzKVHCkSFhgcCugoor9ZiuWKR+B1qiq1ZTSSu27LZX6LyR/Pj/wAF/fiT+0BoH/BVe61W61zVtOHhaw0e4+GlzHmL7NCIo5vPtyOp+2/aMv13R7TwgA/RT4Z/FLwf4zi8NQeJf2rZfFeutawSjQb/AMb2d2Pt7W+JCkEWCXXdKABnAJ4r6/8AiR+zF8APjB8R/C3xd+Jvwo0jWvEvgqczeFtYvYC02nyFlfchBwcMqsNwO1hkYPNdutrao29LaMEdCEFfF4jhTF4jE15/WnGNRt2V3dPo9UtNlvofq3FHiPl2fcNZPltLBKE8FTcJS095+6rxsr2fLzyvrzyfa75v4LeEj4H+FujeGWMu6C2LsJ8bw0jtIQcAYwXIx7V1FFFfYUKSoUY019lJfcrH5POTnNy7n5G/8HVHiP4sWvg74T+FdPlvU8EXt/qM+qiJP9Hl1ONIhbCRh/EInuCqnrlyM44k/wCCcXx3TxT+xD4Q0/4+ftjX9tcfYrjT5PDupeOrO3jOmRyvDBA8LfP5ZgVVwSGK9+Qa/T346/s+/Bf9prwBJ8Lvj18O9P8AE+gS3UVy2m6kjFBNGSUkUqQysMkZBHDEdCRXSaN4a8PeHtHtPD+haJa2ljYW0dvZWlvAqRwRIoVEVQMBVUAADoBXy2P4bxeMzKpiYYl01JJWV76K1t1p1+bP1TE+IeXV/DTA8MrBL2tCrObqaWafM1bRvmfNaV9LQjvtHz39mDwuNK0DV/FAaT/ieahHMu7GwrHBHEGTjkHb159q9PoAAGAKK+iy/BrAYKnh078qtfufl+IrPEV5VLWuFeNftVeBX8bXWm6cNLdjfadd6Yt5ApMiLcbA6DqB9xWGR/CewNey0VnmmAWZ4KWHcuVO2vo0/wBCsLiHha6qJXtf8hltCLe3jt1JIRAoJ9hin0UV6BznL/G6/wDHOlfBfxfqnwwtnm8S23hfUJfDsMUIkaS+W2kMChW4YmQIMHg9K/N6z+N/hbw3c/AGx8KftM32gRav4av38QamviC1trm6s/sKNJLdSzZMcp1GOFWHBMvnKR8jBf1JrgfhZ+y3+zz8EvGXin4hfCj4R6NoWteNr77Z4p1GxtsSajPvkfe+SQPnlkbC4BLk4zXzud5LiM1r0Z06zp8l9r316rVa9N9j6vIs7yzLstxFHE0eecruGkbNuMoWm3qlHm54WT95WaV+aPkP7LvxTfxh4ntdJ8E/HOfxxb212f7RnfxDDqBgR1ztkaHhR8mV3DOc4PJr6cpscMMOfKiVc9dq4p1duUZbVy2jKFSs6jbvd+iVt327nz+LxMMTNSjBRsraf0gooor1TkPKP2o/Db65aaPPFpJmkRri3juI0ZnjMyou0Y4+baOo6qK9E8F6CnhXwdpPheN3ZdN0yC1VpCCxEcapk44zx2rTorz6GAVDMK2K5ruooq3blVvxOipiHPDwpW+G/wCIVwnxx/Zj+AP7S1votp8efhTpHimPw7qi6joqarAXFrcgY3rgjIIxlTlWwMg4Fd3RXbOEKkXGaTXZ6iwuKxWCrqvh6jhNbSi3Frpo1ZrTQj+yWobcLaPOeuwVJRRVmAUUUUARXqyPZypDGruYmCIx4Y44B9q8g/Za8AJ4c1PV9cjsJrRF0+00qG1ZSEjS3aZgoyM5Hm7Tz2HevZKK8/EYBYjH0cS5W9nzad+ZW/A6KeIdPDzpW+K2vo7hRRRXoHOFeL6X8PzdftOnWzpklsLDU5tUZoVOyZns3tQzE5zlZO2OU9iK9oorz8dgFjp0ZOVvZzU/W19DooYh0FNJX5k194UUUV6Bzn5VXHxv1bQPhD8L9Y8UfHS/8OePdV+LUkPjO7l1K2tL2C8M92NZgm83It44Y3dRgDYotwPvru958ATeBPjVrV14W0D49TeOdS1C2S1uJm8UW+o3NnbF8HaIhiNMsSSwxnvX0/4e/Zd/Z78KfHDWv2k/Dvwk0a08deIrJbTWvE0Vv/pN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/9s39ur9nL9gj4faf8Sf2jvFF9Y2OraobDTLXSNGuNQu7mVYZJ5WSC3RpCkUEMs0j42okbMSK9gr4H/4LceHPiXoHiL4N/tH+D/gt4r8e6R4PXxro2uaH4L0STUr5Jtb8M3en2U32ePLGL7SUid+kaz7jwDQB90+FfFHh7xx4X03xr4R1iDUdJ1iwhvdL1C1fdFc28qCSOVD3VkZWB9DV+vIv+Cf/AMJvGfwG/YW+DnwT+IsezX/Cfww0LSdbi3hvKu7ewhiljyOCFdWXPfbXrtABXM/Gb4veBvgF8Ktf+M/xLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8ACK+urnwz4v0iLUtEnvbN7eV4JPul43+ZDx0PNdpXyL/wQp17Ur3/AIJa/Cjwb4g+H3i3wxrHg/w/HoOuaT4y8L3Wk3SXcCqzlIrlEaSL94NsoG1iGAOQcfXVABSSSJFG0sjAKoJYnsKWkkcRxtIwJCgkgDJNAHiX7JX/AAUK/Zj/AG1/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/xZ1D9p79qD49/tYfFf4QfEbwd458VXljpemaD4x+HuoaRaaR4V06W5h023iubmJI7u5maS4u5/LJCG4RBwmT9+0AFFFFAHiN1/wAFCv2aNP8A2x7L9hbUtZ1218d6nFMdLa68L3kel308Nqt5LaQ37Ri3luEt2WVolcsqnnB4r26vz2+M+neKfib/AMF0fg74p+F3wf8Ai5He+AbfWrL4h614l0q4/wCEMj0KbSHMF3pssha3F7Jdywwl4NsxWORJBtUV+hNABRRRQB5Z+1h+2X8Av2KvCfh3xl+0B4ql0y08V+MbDwvoKW1m9xLd6leOVhiVEBOPlZmboqqSa9Tr8vv+Dg/4JftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8ABWHwh8IfGX7KH2T44+Dvi7rHh+x8V6ZqMh+B9rcS+IbG4t5TLb3UItv36qkyx5eH51JU8KGI1P8AglMv7Saf8E7/AITr+142sn4hf8Iwv9vHxI2dS2+dJ9m+1nr9p+zeR5uefM355zQB9B0UUUAVtZ1jSvD2kXfiDXdQhtLGxtpLi8u7iQLHDEilndmPAUKCSewFeXfsg/tsfAf9uTwJffEn9n+/1u50iyvxbrc634au9N+1o0ayRXVuLmNDPbSowaOZMo4zg8EVd/bW+Gvi/wCM/wCxv8Wfg/8AD4j+3vFXw013SNEy+0G7udPnhhGT0+d15r4//wCDejw1+0P4R+C3jfw98TdN+LNj4Lsbjw9aeCtO+MqzrqlrfRaHax63HAtx+8SwXUFdYFH7oKreX8mKAP0NooooAK+fPhH/AMFLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P8Aw3+H91qWnywJewKj6tqlzbmRQJYmubu3h8xMqWsyM5U0AfV9FFFABXgXxq/4KYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P8Axv4d+BPjrV5o9Q+HbeAdZ0DQpJvDMtraa1fza++uyqPK822tZY5bQzndG77ofmJoA/V+iiigD//Z", "info": {"equation": "95+21=116", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "9c3083116913fd6dd99b80c1a275e33c873ce941be8ddd7520ddb61ffef6dc84"}
+{"episode": 86267, "episode_seed": 2195531547, "split": "train", "timestamp": "2025-10-28T03:51:07.980418", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2195531547, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 1, 1, 8])</answer>", "action": "('move', [3, 1, 1, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "8*16=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "8*16=128", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "abd4e344dc0b5d5b37d931932726870bc1b26ac4966b9253c544ac03a5173a1f"}
+{"episode": 86268, "episode_seed": 2913435509, "split": "train", "timestamp": "2025-10-28T03:51:08.049184", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2913435509, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 6, 0, 5])</answer>", "action": "('move', [3, 6, 0, 5])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+10*9=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9+10*9=99", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "7e683c6bfb066bd5c2bba148b132c40ac1e67d832b5cb1d130bc200f0c3b6c92"}
+{"episode": 86269, "episode_seed": 1730293433, "split": "train", "timestamp": "2025-10-28T03:51:08.130680", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1730293433, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [8, 0, 10, 6])</answer>", "action": "('move', [8, 0, 10, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "18+20*7=158", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "18+20*7=158", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "fa40df98d219c58483fca1178f15e107c8422397c77c34952af23628b12b1668"}
+{"episode": 86270, "episode_seed": 1255342180, "split": "train", "timestamp": "2025-10-28T03:51:08.195147", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1255342180, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 1, 4, 8])</answer>", "action": "('move', [3, 1, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "1+16*2=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "1+16*2=33", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "ae3f9bbde652a8ff9b3204fc9d3398f3f2e2864058de227cd0ae6439b0d368ee"}
+{"episode": 86271, "episode_seed": 3480409271, "split": "train", "timestamp": "2025-10-28T03:51:08.246743", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3480409271, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 8, 1, 4])</answer>", "action": "('move', [2, 8, 1, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "26/13=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "26/13=2", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "74518ee4d79a32975868fa168492a8f3e368feae305620cfd8be9a9cada7068e"}
+{"episode": 86272, "episode_seed": 180563355, "split": "train", "timestamp": "2025-10-28T03:51:08.316736", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 180563355, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 4, 7, 1])</answer>", "action": "('move', [5, 4, 7, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "7+17*5=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "7+17*5=92", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "119a2391798b9ee67de127421cc7a8306a9bd03e51423fda74f8dfde4839832b"}
+{"episode": 86273, "episode_seed": 484145409, "split": "train", "timestamp": "2025-10-28T03:51:08.393911", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 484145409, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 0, 5, 8])</answer>", "action": "('move', [4, 0, 5, 8])", "reward": 0.0, "image": 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", "info": {"equation": "15+11*6=81", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+11*6=81", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "cb3ef740403b900cdb3de46d9e9769f7df927cecb5d55aa0d45dc9e05eb64333"}
+{"episode": 86274, "episode_seed": 249291403, "split": "train", "timestamp": "2025-10-28T03:51:08.468609", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 249291403, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [7, 0, 3, 5])</answer>", "action": "('move', [7, 0, 3, 5])", "reward": 0.0, "image": 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", 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", 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/ACBPOkuSXPG4vnoQPtT9oiz/AGYPix8PvE/i3xv8brbx/q/h3wpfSaBfan4qtdUutEfKOk1lGhxHM1xHagMFLO6xx5Iba33L44+F37KOv/tJeEfiJ8QNE8JzfFPTNNuYvBc+oXca6oLXbJ532eIsGkRVklJIVtm9jkZNeM/8FH/gv8KPid4p8I6z8QPAWn6tdeGNC1fUdAlu4yfsV0JbHEqgEAsNq/eBHA4r4LOchxFGjiMV9YfK5p8qv1krX13V9NHol8v17G+ImCzaWRUY4aWHeDockpwspTsmvd1XuS5dW3o51Pdla0vpX4XXfizUPhl4dv8Ax7A0Wuz6FZya1E8YQpdmFDMCo4UhywwOBW7RRX6LFcsUj8TqzVWrKaSV23ZbK/ReR/OH+w78T/2ibn/grPcR+PvEerW+s+J/Gt9D8R7K6YRtdNFM8phmjPA8u5iiKqvK7ABhciv2g/Yi8Z32sajL4b0bxq+q22naxq8Wq2Yv1mGnMbuZlhZV/wBURlcK3zYb0Nbnx8/Zz+B3w5/4SH44eB/hlpWmeLfGfiPRF8T67awkT34ivIgm85wOgJ2gbiAWyRmu9/ZYRF+B2klUAJur8kgdf9Nnr8+wGQ4jDZ6qcq791c+l9Vzv3Xr13fm36n6v4j8eYDjbE08dhsIqMY0oUuXT4oxu5adFflj15YxvbZeh0UUV+hH5IYHxWvPF2n/C7xLf+AIGl16DQLyTRIkiDs92sDmEBTwxMgUYPBr8UP8Ag2d8UfGbU/28fiG2pTajc2Gq+D7m68a3N3CWLagL2MwvM7DcspeS546nL5HBx+51fJn7B3we+F/w0+OfjDxP4B8EWOlaj4rtby/8R3lsreZqFz/acv7yQsTz87YAwBuOBzXzebUXPOcFLma96Wn/AG7f9Leh+l8JcYYTI+Cs7ymph1Uni401GWnu8sne99dL80bbSS9V9Z1+ef8Awcva/wDFDRv+Ce9pY+BZLxNH1LxzY23jFrVMqbLy5pI1lP8AChukt/YtsHfB/QyuS+O3hL4M+OfhDr/hX9oay0afwVd2BHiKPxBcLDZi3Uht0sjMoQKyq27I2kAggivWzLDSxmAqUIy5XJNX/wA/Lv5HznBWd0uG+LcFmdSj7WNGpGTh1dn9n+8t4/3kj8jv+CWnxE8MeL/2BLP4Z/Hv9p+403R3vtQ0yLwfdeNrawt59JZhuheLKymKR3nVssCysRnGK+9P+Caeh6B4P8U/F/wR8L9ItbHwRYeKrCTTrPTLSOOyttVlsUbUYYPL4wCLZnTokkjgAcgeo/EnwJ8I9M/Yq1/wN8NtB0geDU+G11Z6La6WVe0fTjYssaxspIeNoyMMCdwOcnOawf8Agn58Lvh58GvhXr/w7+FnhGz0PQ7DxfL9k02xUiOMvZWbsfmJJJZiSSSea+Uy3KK+W55QjUrufuSfkkrKy1emt+myPpOJOLMNnkc0xEKTpLEVuZU9OWN587m9f4loqOkdVKXvLZ+70y5it5reSG7RWidCsiv0Kkcg+2KfXH/G3xhD4W8FzWqylbnUVaCAgD5QR87H2Ck/iRX1+NxVLBYSdep8MU3/AMD57H5xQpTrVowju2fO/gPW/B+rftm+FvAF8JJbTS7a91LT5ZIYzG2oNHKlpG+X3K/2aO/lACn7gORgZ+uK+NrT4U+IbH4QaL8edKgMPiHxB4hj8S2guZFHleU6GwgJMX7tXsY1ifKkqZpOec19haZfw6rptvqduCEuIVlQEg4DAEdOO9fO8Jt4fDzwlSPLOLUreU0mvu2+R6WbL2lSNaLvF6fNO3/BJ6/nz/4KX/Ev486F/wAF07nxDq3ivUtF1DRvFmj2nhbUWdIPsOktHEFaF5PkWMrNOxc8bnkJ5zj+gyvk348fBv4W+IP2+PD3xl1zwLYXXinRW8P2eka3OjGa1gkubreic7QDvfnGfmODzW3FOHliMHSjGbj+8hqvN2v8r3PtvC/jDB8G5njK+IwyrKrh6tNJ20crNXv9l25ZdbPrs/n39ob/AIZ78eeA/EvxPm+N8fjjxj4X8OTTeDtauPFVtqeo6HeLIslo9isZHlTPeLagFV3SOI4yWB2n9JPCU2t3PhTTLjxND5epSafC2oRhQNs5jUyDA4GGz0r5b/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/wCF/wAKviD4s1P4deCLLSLjxNpVvqWvz2qtuvrtru6zK5Ynnk4AwoycAZNfWVfP8LU3SyaCbvrL/wBKa/S59/4qcVYXjPjOtmeHoeyjKNNW0u+WCTbtpfov7qR+b/8Awc6a/wDE/Sv2GNA0rwhJeJ4f1Pxzbw+LWtkyjxLDLJbpKR0QzojehdE74B8g/wCCWnxsttd/Yj8LaD8av2s7yz+zTXGn2fhbUPGtpbwnTYpPLggaB/3nllQVAJBKgAcYr9Hf27vh/wCDPip+znffDz4h+HYNW0TVdc0mHUdNud3lzx/2hA21tpB6qDwR0rQ/Y38J+GPCX7OHhzwt4Z0G1sdO0w3lrYWdvCAkEMd5OiIo9AoA/CvKzLKq+YcQyhCvKnemnpfa9rbrTqehDjfAw8LaHD7widSGJlU59NU46dL82tn05Yx+Wp+zj4Yfw54CmupRKH1bVJb5llGMblRBgYHBEYPPr6YrvqKK+twWGWDwdOgnfkSV+9kfl9eq61aVRq13c/ET/g6I8Y/F/TP2p/hjpqajqNp4Z0/wk2oeHJYcxxrqv2xxcyI45Mqoln7qCpGNxz9JeCdW+DH7Rvwt8F6Z+03+0BZ/EDUW0O11DUvC3irxjZXVrHqJsSLiU2qFRvjWS4xnIjBZhgqGH27+0V8Mf2UviNfeDJv2ndG8KXVxpfimCbwOfE93HC39rH/VJbh3XzZW2j90N2/aMqcDHG/8FBvg78LvjR8MvDXgL4q+B7HXNHuPGcUs2n3isEd0sb1kJ2EHhgD1r4vPMixF8VjFiGotX5VfWy2eq+Wj0P2Cpx7gsfw3keTrDSoywrqJ1opcz55b09Y3dtZ3lG8upp/8E57vW7z9ij4ftrUl08cWkyQaNLewCOSXSY7mWPTnIHB3WS2zBv4gQx5Ne11xn7ONvb2f7Pnga0tIEiih8IaakUUahVRRaxgKAOAABjFdnX2uDh7PB043vaKV/kflOa4qOOzSviYx5VOcpW7c0m7dNr2P5/v+Cu3xV/aG8Kf8Ft5PEK+L9W0S90DUdFt/A2oRyrB9k02SGLc0Lt8gjaWW63MflJaQNwCK/SXwVqfgP4y+I5fB+h/tEz+OtQu7V7ZI5PFltqM9lbSOgkeNYh8ikiPcxBHyL+P1N4o/Zx+BfjX4yaB+0J4r+GGlX/jXwvZy2mgeIriDdcWUMgcOiHOMYkkxkHG9sYya7OO3t4m3RQIp9VUCvlKvCmJr4mrOWJahOfNyq7TV09dUrrZaPZeh+icWeIWA4gynKcJQwapywdBUpS096S0urK/Lpza2fNOfq30UUV9oflhxX7QGljVfhncxnTluRBdW9wQQSYzHKrhxjupAPp1q38E/C58HfC/SdCbzQyxyTuJh8ytNK8xB4GMFyMdeOa6qiuFYFLMnjObVwUbejbubuu3hlRt1vf5WCiiiu4wCvIP2f/AZ0f4h6/4iOnPZiCN7JbdQRGC9w0zYzyTnB69GHqK9forhxOBWJxdGu5W9m5O3e6t+BvTrunRnC3xW+VncK/PP/g5d8QfFHRf+Ce9pY+BZbxNH1LxzY23jFrVMqbLy5njWU9VQ3SW/sW2Dvg/oZWB8Uvhb8PfjZ8P9U+FfxW8JWmu+Htat/I1TSb5C0VxHuDAHBBBDKrAggggEEEU8xwssbgalCMrOSav/AF07+R7/AAZntDhjivB5rWpe0hRqRm46apPpfTmW8b/aSPyQ/wCCT3xsh1T9iPSPDXxn/azvdMt7TULzTtO8MX3jW0tYG0pSoWFoX/eGJi0yYJGV4GABX6l/s1eGzoXge81JvMzrOrvfYk6Y8mGEFePukQg9+pPTFdV4G+Hngf4aeDdK+HvgLwtZaVouiWEVlpWm2kIWO2t41Coij0AA68nqea2enSvFyjh6tl2JjXq13UtHlSa0V7bXb007I34u4lw/EmdYvGUKCpRrVZVElbRNtq9klfXV97hXOfEL4cad8QorKO+vXg+x3G/KIDvQ43Jz0zgc10dFfQYnDUMXRdKtG8XuvxPladWdGanB2aMLx/4Gs/Hnh3+wJ7trbbKskUyIG2FcjoevBI/GtbStOt9I0y30q0B8q2gWKPPXaoAH8qnoojhqEMQ66j77STfktvzG6tR01BvRahX5uftZ/F3XPCOrfGTVfEXxVvPD/iyy+LOi2WgSPdQW81nZsdP+wi3EnyiF4jdSGQjr9pbOY22/pHXEa7+zd8CfE3xu0n9pHX/hdpN3460LTH0/SPE00Gbm1tn8wNGpzjGJZRkgkCRgCMmvMzzK62bYeFOnU5HGSlf0v+K3XmfQ8M5tl2U4ipPGUvaRcdEkneUZKSi7/Ylblm1qk7pO3K/mD4c3vgT4y+LG8L+H/wBoGfx1fziOJmfxVbajPZW3mqWKiIfIhIUszAjKjmvtamR28ER3RQIp9VUCn0ZPlE8rVRzqupKbTbe+it3Z4+MxaxXKow5VHp/VgriPAf7N3wJ+GHxF8VfFvwB8LdJ0rxJ42njm8Vaxa2+JtRkj3bWckkA5ZidoG4nJyea7eivYlCEmm1drby9DGlicTQpzp05uMZq0km0pJNNKSW6TSdn1Se6GxxRRDbFGqj0UYp1FFUYBQenFFFAHkH7N/gQaB4r1/XBp0lmqQx6elsFIjQJLLIQueTjzPXpivX6KK4ctwKy7Bxw6lzWvr6tv9TfE13iazqWte34Kx84/8FAPEGtaPrnwksLjVriy8N3/AI8kj1qSMqsM10un3LWEEzn7qNchSo/ilSJeSQD81/s7/tHeGmbXb+7/AG0LmztbP4iavHoGkP40sLe3eyS7bYqw4y0Rk80Kc5dcEEgg19/fFz4QfDP49fDvUvhN8YfBll4g8OavGialpN+hMU4R1kXOCCCrorAgggqCKveD/Avg7wB4U0zwN4L8NWem6Ro1hDZaXp9rAFjtreJAkcaDsFVQB9K8PMuHsXjsyliaeIdNOKWl76dN1p19T6alnmWU8ghhXQ5q0Xa7UeXlvKXNffnblyvSyjFau9o5vwcvdd1D4fWVz4gkkeYlxHJMSXePcdpOeTx37jBrqKKK+iwlB4bCwouXM4pK73dlufLVZqrVlNK13ex+In/B0R4x+L+mftT/AAx01NR1G08M6f4SbUPDksOY411X7Y4uZEccmVUSz91BUjG45+s/2fvi1pfxG8H+CW8dftR3HizxbdaFaXNz4fv/ABhZ3TLqT2Y88pbQgN5i75hgZ2gtxxx9p/GD9nL4G/H+68PXnxn+GOleI5fCespqvh19ShLmxu0wRIuCM9BlTlTtGQcCuyW1tkbelugI6EIM18tjeF8TjcbWqrEuMaltFd30tZ6pWXTfQ/Ts48QcBmPBmU5NTwajUwaqc09Pe55XXLpdX3nfeWqMf4a+HF8H/DvQfCaNIRpmjW1qDLjcfLiVOcADPFbdFFfXU4KnBRXRWPy6T5pNhRRRViCiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACvG/jt+3t+zF+zf8d/Af7OHxa8cz2Hir4jXAi8P20OlzzQx75kt4Xupo1KWqS3EiQRtKVEkrBBk17JX5nf8FVfgn8b/GP7f3h3TPAnwe8Ua9Y/FPw54C0TS/Euj6S89h4fuNB8cprd/JfTL8ton2JjJGz4EjxFFy2BQB+mNFFFABXl3gD9sT4G/Ez9p3xt+yH4Q1nUJ/Gnw+0qy1DxNbS6RPFbRQ3WfK8ud1CTHj5ghO08E5BA9Rr4u8D/ABWju/8Agul438OL8LPiDFaSfA3R9Ai8U3PgS/j0OW/tr6/1CWNNRMf2dwILyAAhsGTfGPmQigD7RooooAZPPFawPc3EgWONCzsegAGSa8h/ZG/bs/Z2/bds/E9x8B9e1aafwfq0dhr+na94eutMu7dpYhNbzeTdRo5hmiYSRSAbXXkV69cTLb273DozCNCxVFySAM4AHU+1fEP/AARu+J2oftD+Jvjp+1J8Rfhb4/8ACHjrx744tptV0Hxr4EvtGi0vRrSKWz0eyt5LqJFvXW2geeeWPIWW8K8ALkA+4aKKKAOZ+Mnxa8I/An4X618XfHY1BtJ0GyNzdxaRpc19dyjIVY4beBWkmkZmVVRFLMzAAVj/ALMf7S3wl/a9+Cej/tAfBHWLq98O62bhLZr/AE+W0uIZoJ5LeeCaCVVeKWOaKSNkYAhkNR/tX+K9D8F/s3+M9e8UeGfGur6WNCmt9Tsvhxbzy679mnxBLLZLbMs3nRpI0qmE+avl5TLAA+K/8EUvA3j74cf8E6PBvhTx94O17QTHq+vT6Bp3iyy+z6wNHm1i8m0+TUEIDC8e1eGSUuN5dyX+YtQB9WUUUUAecfta/tX/AAT/AGI/gBr37TH7Q3iSXSvCfhxYDqN1b2j3EpaaeOCJI4kBaR2kkRQoGec9BXoVldwahZw39sSY54lkjJGCVYZH6Gvz/wD+DjH4MftSfGz9jAaL+z58Cf8AhYmlaXaa1f8AijQLbWBbXaSf2VPb2V1BCIpXvnhkuJJltUUNJJHFhlK8/c3wquvFF98L/Dd7438NJoutTaDZvq+jxXouVsbowoZYBMFUShH3LvCru25wM4oA36KKKAPHfiZ+3B8HfhZ+1D4Y/ZD1jw/4z1Hxf4q02DULVvD3gy9v7CwtZriW3jmvbqFGjs4zJDIN0pUfL1r2KvgH/god4S8Y/wDDy34E+OP2fPCnxph+I8uueH7DVdc8OwTjwZceD49QvJdXt9UkT9yZUhlkZEm+bfJAYsnfj7+oAKKKKAPJvBf7a/wB+IX7UfiX9kDwhrmp3vjDwjYrPrzxaDc/2bbyFIZGtPt2z7O10sVxBI0AfeqSqxHXHrNfmL+wz8GP2pfg/wD8Frfi7FLY/E638I6/4k8W+IPFcuqmf/hELywvV0aTQpLDd+5a/Eg1GOYp+8CQ7X+UR1+nVABVfV9Th0XSbrWLmGeSO0t3mkjtoWkkZVUsQiKCXY44Uck8CrFFAHiP7G/7fnwM/bjl8XWXwh0Xxppd94Hv7Wz8SaV448F3miXdrLcQmeEGG7RHO6PD9OjKejDPt1fMP/BLrwZ4u/4Qf4pftD/ETwtqeka38XPjX4h8QCx1qxktruHS7eddK0xJI5QHQGx063kUEDiXI4Ir6eoAK4n9o39oX4XfsqfBbXfj98ZtXuLLw54egjkvpbOxkup3aSVIYoooYgzyyySyRxoiglmdQOtdtXzJ/wAFi/CXjTxz/wAE5/iF4X8D+C9Z8QTXDaS2p6X4bsmuNUbS01azk1CSxjUFjeR2i3EkJT5xLGhT5gtAHsP7Nn7Rnws/ay+C2i/Hz4MatdXnh7XVnFq1/p8tpcQywzyW88E0Eqq8Msc0UkbowBVkIruq+X/+CN3hLxf4I/4J5+C/Dvi/wVrvh8R6nrsuiad4rsmt9X/smXWb2XT5tQRwHF5LaPBLMZP3jSSMz/MWr6goAK8d/bE/bx/Zp/YQ8OaD4o/aR8ZXWlW3iPVmsNMWw0me9kOyJpp7h0gRmjt4IlaSWZgEjQZYjIr2Kvzx/wCDiH4CePPjF+z/AOGb74Lp8QT48ZNf8LeHIfA/gUa7Dfx65pcljcWN9l1/s+CZdg+3nKwbCSMstAH6F29xBd26XdrMkkUqB45I2BV1IyCCOoIp9YHwq8LX3gb4X+G/BOqXKzXOj6BZ2NxMpyJJIoEjZgT6lSa36AP/2Q==", "info": {"equation": "9+19*6=123", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "9+19*6=123", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "98e699283678fcdbcb8735a0a40c12e842b423a202afa202a9f8460e4ab9e473"}
+{"episode": 86275, "episode_seed": 3652271741, "split": "train", "timestamp": "2025-10-28T03:51:08.534936", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3652271741, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 0, 4, 8])</answer>", "action": "('move', [3, 0, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "9+11*5=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "9+11*5=64", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "189d73fb1184455dac24be7e02d6f0663d013701ed00ee37848b6f2d2b261771"}
+{"episode": 86276, "episode_seed": 1383325335, "split": "train", "timestamp": "2025-10-28T03:51:08.588305", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1383325335, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 8, 2, 0])</answer>", "action": "('move', [3, 8, 2, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "117/9=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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6bs01fSztyy62b3tZ/V/wC1H4gav8CfBWrfFm2kg8VXXhLTZvE0M0AiePUGtY2uFZF4QiUuCo4HSutoor6mEeWCje9j8txFVV686iio8zbstld3svJbIK8H/bP+LE3hTQDpWj2Zvby38sWmnqyg3uoTusNnbAsyjLyyIuCR98HPFe0eKvEuneEdCn1/VGPlQKPlX7zsTgKPck185fCrQNQ+N37Uq+I9dt2fSfAsX9rXLOF2XGs3SPHbJtMZ3CC3M8hKsuGngOCRx83n9V4qpSyym/equ8vKC1b+dtPRnbl8FSjLFSWkdvOR7T+z38I7X4IfCPSPh8lwlzewxNca1qCwCM32oTMZbm4YAnBeV3bGTgEDOAK7Siivo6dOFKmoQVklZfI82UnOTk92Ffgr/wc3+KPjJf/tt6J4S8YS36+DrDwjBN4Ogkj22rySsftkiEcPIZERWJ5ASMcDGf3qryL9rT4Q/sVfFfTvDUX7Zuh+Cru2sdaz4WPjK/itl+2uB+6hMjp5jOFGYuQ20ZU4GPJz7Lp5nlzoRnyu6d3tp0f9b2P0nwm4xw3A3GVPM6+GdePLOPLFJzXMvihfrpZ7e65HwF+x98YNC+JH7EXg7Qf2jP2yr6O41Pwu1nrvh27+INnZxtZbpIo7eSNdrxo1sI1I3BiGOSCTXu37CPhPwH8NP269f8G/s5+H9O0zwre/Cq3u/HWn+HbOFbCDUku4k0l2Mf+rnltHvjtGN8caSEEkM31X+0bpemy/s7ePLWTT4TG3grVEZPLGCv2SUY+mK8Q/4Jx/Av4P8AwA8T+NvCXwX+H2n+HNOutG0O7ubXT1bEs7SakpkZnLMx2qo5PAHFfMUsoxGX8QYWNTESqXUnrfSy21b0ZFXijDYzA5nWjTdNV5O1KNvZLnle71WtPTkSjuk+Zctn9UUUUV+gH5weP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/wVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP9se3BmMgwx5OCwPQkYJ962q+1oVVXoRqJW5knZ7q6vqfjVSHs5uPZ2CiiitSD+dX/AIOCfFnxq1T/AIKaeJNL+IdxqKado9hp8fgSGaMpGmntAjl4AOGDXJuMvySylT90AfvV+yhq/wAUPEH7MPw8134221xD4xvPBWmTeKYru3EMq6g1rGZw6DhG8wtlR0ORXzP/AMFJvgL8Gvi78V5/FfxO+HOna5qHhb4aSXXh+5v0ZjZTeddNvVQwVjujQ4YEfKOOtfadiS1lCzHJMS5J+lfJZJh3Sz3HXk3rH/ya7/DZeR+vcd8d4HibgnJMro4RUp4WDjKWmrSjH3ba2lbnnf7Xe13LX51f8HMPij4xeH/2ENM074ezX8Xh7VfGFvbeN5bKP5TaeW7wxzMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZr38ywssbgKlCMuVyTV/66d/I+J4Kzylw1xZgs0q0fbRo1IycOr9P7y3j/eSPxM/4IdfHPxPo/wAKPGHgbx5+1Pqvg7wzpWp2z+GNNXxba6fF50wma7MazAsRkQkgfKCxI5Zq+o9W8GfA3wx8SPhr8Xv2c77TdY+Jep/GKx+x+KdMvYdT1TWhczomtLcTgsZYl057h5P4YFRCojzz9+fs5/D79nf4f/BvRvDH7MOkeHYfA8KSvog8NXEdxZuGldpHSVGYSZkL5bcTnPPFfLfgD4B/BnRP28I/j1pPw402DxlqPxS1a0vfEKoxuJIBZXq7OW2qNsaAlQCQvJ5OfgsTkOJwDwnPiXJOpBJa2jfrHX7tEfoObceYPOeMsyzaFCVCM1J+zSX7yyUeWsrpJT1lU0nq3FLXmX2/RRRX6WfiwVhfFDR18Q/DjXdAk0xL1L7SZ7eW0cHEyPGVZeOTlSRxW7RWdan7WlKF7XTV/UqEuSal2PJv2YPBsmlS6942mE6tq32W2CyLhStv5x3LxnrMwJ6fL2wa9Zoorly3BLLsDDDKV+Vb7X1ua4mu8TXlUatcKKKK7jA84/aY0f8AtTwjp122lrcDT9WFykuCWt3MMsW8Y9VldSTx89bHwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rr6K82nlyhms8bzNuUVG3azv/XzOmWJcsKqFtne4UUUV6RzBXhP7THw2bx544Gj/wBlSI2vaImlvfWykyPFvm4ycqCnnSMOONxJ4r3aivNzXLlmmE9g5cqun9zvY6cJiXhavOlfRoKKKK9I5jK8a+E7Pxt4cn8PXszRCXDJMoyY3ByDg9fp6Gm+B/CFl4H8OQ+H7KZpRGS0kzLgyOTknA6egHoB161r0VzfVMN9a+s8vv25b+V72NPbVPZeyv7t728wooorpMwr8Fv+Dm7xT8Zb79tzRPCfi+a/TwdYeEYJ/BsDx7bVpJGP2uVCOHk8xEVifmASMcDGf3prz74+/sp/s6ftS2mj2P7Qnwh0fxZFoF8bvR01aAt9mlIAYrgjKsFXcpyrbVyDgV4+e5bVzXL3h6c+V3T8nbo/63SP0fwr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H55/saftAr4//ZB8GXX7RH7bWpf2zqWgtHruj6p8QLKESQGSREiliPzgNbiMMGO4hiSck192/sreFoYJ9b+INs7tDq9nY2tsykGJ4oDcOroQPmB+0kZyQcDHQ59bWxsUUIlnEABgARjAFSgADAGAOwrzsv4crYPHQxNXEyqciaSa7q3WT/qx81nWe0s2xWIq08PGkqs5T5Y7RvJy5VotFsvIKKKK+pPnTzu//ZM/Zu1P9oC3/ao1D4OaLN8QrWz+y2/ip7cm5SLy2i9dpby2ZN5G7aducACvQFtbVGDJbRgjoQgqSiohTp078qSu7u3V935nTiMZi8WoKvUlPkiox5m3yxW0VfaKu7JaIKKKKs5gooooA8M/ak+Hf/Cb+J00xdJkDa5oTaS19bKTIUdpMpk5UbfMZhx3JOQK9xgiEMCQg5CIF59hTqK83B5dHCYyviOa7qtO3ayt8zprYl1qNOna3Lf53Cvzq/4OYfFHxi8P/sIaZp3w9mv4vD2q+MLe28by2Ufym08t3hjmYcrG1wsXsWCKeoB/RWsP4k/DbwH8YfAeq/DD4n+FrTW9A1uza11XSr6PdFcRN1UjqOcEEYIIBBBANa5jhZY7A1KEZcrkrX/rp38j3uDM+ocL8VYPNq1L2sKM1Jx01S7X05lvH+8kfiD/AMEOvjn4n0f4UeMPA3jz9qfVfB3hnStTtn8Maavi210+LzphM12Y1mBYjIhJA+UFiRyzV+mP7MOh+EfiB4v0PxH4M8b/APCRWmj6xc6jda3bapFe/abpoJ4n86ZMqXP2gkgYPA7V7/8AB/4H/CT4A/D2w+FPwb8Aad4f8O6Z5n2HSrCHEcRd2kc/MSSWdmJJJJJrqI444l2xRqo9FGK+YwfCmIo1KM6uKclTaly2drrorvT7tj2+OuNMJxXxNjczw2FVKNd6LS9rKN5WXxStzS1fvN6vcdRRRX2h+ehRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAVyHx8+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": "117/9=13", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "e33e2e7bdf32af792c03c8d88e4872def1bc9f5aec3b8629796f993b4c81aac7"}
+{"episode": 86277, "episode_seed": 1113082674, "split": "train", "timestamp": "2025-10-28T03:51:08.637018", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1113082674, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 6, 2, 6])</answer>", "action": "('move', [0, 6, 2, 6])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "0+8*5=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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yGyDjkV678TbO11X9gjXdP1GBZoLr4SXEVxE/SRG0xgyn2IJH418PQwc5ZrmUPaPWK/8AJlf/AMl2XkfqGD4oynLZ5Vjo4VTnTqUZTjJRUbUFyWi1dv2vxzckrTS0la5+X/8Awar618Vh8RPir4ctre5bwOdFs7m8lNuPJTVhNshAk6h2gM+VHUIpOMDP7QV8w/8ABO/4J/Cb4B6/478DfBrwFYeHdJaDSbl7LT1ba8zG8DOxYlmJCqMknhQOgr6er1+FouORUdb3u/xehw+KXE+F4w44xWaYej7KE+VJaXfLFLmlbTmdtbeSu9wr+Wj40fGX9rDRf2+PF3xN8ReKta0n4of8JZf2l/dSMsFxAzb7ZrfDfIsXkHygp+QR4A+XFf1L14x8Yv2Tv2cIvEXi79qmP4O6KPiHL4Ov7R/Ff2c/ajF9jeLrnbu8sCPfjds+XOOKOIMorZrCl7Opycjv/wAH1XT1ep63hb4h5dwD/aKxWDVf6zS9nHbR6+7K/wDy7nf37Xfux0Z4B4b8cW/g/wCNdnpUHxEOkXWq+BLKCx0kaokJ1IrPOx2xnDyvGBxs5UO2etfaPga41q68H6dc+IUYXr2iG43jDE46kdiRgkeua8H/AGOERviRqrMgJHgTRcEjp++va+ja83g7AVKeDji3VbU00o9FaT8/0W7PgM4rxlWdHlV09+r0CvDv+ClXib4x+Dv2Dfin4n+AL3yeLLLwnPJpcumRb7mFcqJpIh13rCZWBHzAqCOQK9xqHUCwsJyvUQtj8jX11em61GVNO101dbq63+Ry5XjI5dmdDFypqoqc4ycZfDLlknyvydrPyZ/Nr/wRe+J/ifwH+1lPp0PxmvPBegav4fuf+El1G31mCxEoiUtArTTAjPnMuAOTk9s1+ivx/wDCn7HnxP8Ahz42+JvxD+J+m+N9a07wsVTxVqHiO21TU9HEe97NbQqf3D/aSDGiKDLK207922vYf+CaH7P/AMFfgv49s7r4V/DTTNDl8Q/DaO81uSzjYteT+baHe5ck8F3IAwBuOBzUf/BRL9n/AOCnxL+N2ofEDx98NNM1bWfC3w2tJ/D1/dxsWsZPtOpvuUAhSdyIw3A4KgivyT+y6/8Aq8sV7eXLzW5NbfFa+/z2P3Li7xEy7iXxH/tSjRnh4KEVeHL7SXKub3rNLV2je8rRUXyya5T6v/Z91L4h6x8BPBGr/Fy1kg8WXXhDTZvE8M0AiePUWtY2uVZF4QiUuCo4HSuvoor9ehHkgo3vY/BMRVVfETqqKjzNuy2V3ey8lsgr5q/bM8W6N8NZ9S8W6VaG6v0solj05Ag+1X8riK2hXLKC0kjxqckfezmvoXxV4l07wjoU+v6ox8qBR8q/edicBR7kmvl7w/4B1L9pb493k2spJ/Zvg20OqySFgqT65cq6WaEGM7lgg86RsMMNPAcEjj5Lip/XVTy+lFSqSfN6KKevz2XzPSylexcsRN2itPVv/I9b/Yj0/wAJ2X7L/hS48JzNN9us3u9YupoEjmn1SSV2vmmVGYLL9p85WXc20rtyQor1avn/APZHi1rwN8QfFfgeUL/Yus3P9r2EO9FazvzhLyLYEB2yFY5gcsd5nztyufoCvayXGUsdllOpTVrKzXZrRr+uhxY2jOhiZRlr1v3TCvwV/wCDm/xR8ZL/APbb0Twl4wlv18HWHhGCbwdBJHttXklY/bJEI4eQyIisTyAkY4GM/vVXkX7Wnwh/Yq+K+neGov2zdD8FXdtY61nwsfGV/FbL9tcD91CZHTzGcKMxchtoypwMZ59l08zy50Iz5XdO7206P+t7H3/hNxjhuBuMqeZ18M68eWceWKTmuZfFC/XSz291yPgL9j74waF8SP2I/B2hftF/tlX8VxqfhdrPXfDt38QrOzjay3SRR28kabXjRrYRqRuDEMckEmvev2E9A8H/AA3/AG39b+Hf7O2l2eneDLj4Xxah410fw9bxDTLXVRdQR6XMdnEVzNZ/a8gYMkcETtnhj9T/ALRul6bL+zt48tZNPhMbeCtURk8sYK/ZJRj6YrxD/gnH8C/g/wDADxP428JfBf4faf4c0660bQ7u5tdPVsSztJqSmRmcszHaqjk8AcV8zSyjEZfxBhY1MRKpdSet9Eltu9GZ1eKMNjMDmdaNN01Xk2qUbeyXPK93qtaenIlHdJ8yUbP6oooor78/OTx/VPg3+xJefte2XxT1fw94Ib41Jo+bGea+hGsmzEbxeatuX3Moj8xPN2EhQV3YGB64traowZLaMEdCEFfzF/tI/GP9qnQf+CoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bMtzbfGO98I6RrWj3sfivWIdZhszLCsTSxq804IGbhYenzE+xNf0u1518FP2Sf2a/2ctY8Q6/8AA74M6J4avPFd4LrxBPptttN5IGdhnJIVQ0jkIuFG44Ar5/O8ixGa4ulVp1uTkv3uvNWa16PVaH6vwV4jZdwtwTm2SV8Gqs8Wkoy0stLe/fW0Pjp2TtO+17nwn8avCP7F/wAYvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/8AZf8Ah3rnxrguYvGF54J0ybxRHe2whmW/a1jM4kjAAR/MLZUAYORXzL/wUj/Z/wDgp8WPitceKfiT8NNM1rUPC/w0kutAuL2Nj9im866beqghWO6ND8wI+UcV9q2JLWULMSSYlyT9K4eG8HUwea4ynOo5uPIm31um7vV6rbc+ZzvOKWL4cwmGXM2pSl71rU0vdUKerdpaOekdVFKPu3ctfMf/AAUo8S6/oI+E1rea3dab4MvfiRGvjC7hISAslpPLp8VzISPLhe+S3HJAZxGpPzAH6cryL9uvwl4a8e/su+IfBXjHRotR0rVb3SrXUbGfOyeF9TtVZDgg4IJ6EGvoM5pOtlVeKdvdeq8lf8djw8gxdDBZvSq14c0LtNaNpSTjzK+nNG/NG+nMkeX/ALDnjTxhr/xj+Oum+GdVn1HwzpkujLpkghja3h1/7FKl/bRSr99kii00yISdjuynByB+JX7D3j/9q3UP+CungrxlevrNx8S7/wCKIj8Wrc2m66CyTNFqiSxsMIqWxuQwwBGqHG3aMfvH/wAE8Phh8Pvg58NfFfw7+FvhGz0PRLDxq32TTbFCI4y+m6e7HkkklmYkkkkmvIPAXwG+Dej/ALeSfHzTPh1p0XjPUvilq1pfeIgrG4lgFlers5Yqo2xoCVAJC8nk5+LqYSUsryx87+OK/wDAnf8A8ltZH7Dwl4h5NwvWzyisEqkMRQVODaineEHC81quWpfnqJN+8kry+I+3qKKK/Rz8GPhz41+PI7D9tj4tWXxt8ZyaZpuleDNIfwpBqc8dvax6C1u7X13AWIEhN75iTOc7fJt1OAV3eUfsxfHbw74x/Zk8Jn4y/tsX8t1qGghNX0XV/HdhbrNbMWVIZoAFKBoNgZOCNxBwc197/HT9k79m/wDaZv8AQNT+Pfwd0XxVceF7xrrQZdVty5tJGKFsYI3KxjQlGyrbBkHFd+bO0JybWMn/AHBXxlfhfGVsfWrxxTgpu+l7+j1Wi2W+h9vjOI8oq5VRpUsN+9tTU21FKPs4ci5Grt+0+OpdR95L4tzyn9l3wiLE65493Ska0tpBHux5bJAJSHTjnJnIzkj5Rjoa9aoAAGAKK+ly3BLLsDDDKV+Vb7X1ufH4mu8TXlUatcKzfGOnjVvCWqaWbFLkXOnTxG2kztlDRsNhxzg5xx61pUV2Tjzwcb2uYxfLJM8b/Zd8C/2RrWs+L2t54fN0600yOGRNqBYHnfgEZyDKVPPYDrmvZKKK4crwEcswEMMpc3LfXbdt/qb4qu8VXlVatf8A4YK8Y/4KH+IfiX4V/Yo+I3iD4R3Wp2+uW3h9mju9Eg828trYyILqaBcHMqWxmdSASGUEAkAV7PQQGBVgCCOQa669N1qMqadrpq63V1v8jXLcXHAZjRxUoKapzjJxe0uVp8r30drPRn5mfET40+CPCHx/+Enhj4c/tI/8Ixot34T1VtTn0bxJaW8UmkLBB9ikeeTdgNOsYjwf3g8zG4KxHq3ghPAvxvudT8KeGvjdJ431LVrOOxv74eJLfUbq2tiZAi5iGI0UySsNy4yzEkjgfTPwK/ZL/Zs/Zk/tv/hQfwa0Twt/wkd6LvWv7Lttv2qVd20nJOFXe+1BhV3NgDJr0GOCCI5ihRSeu1QK+IocHYpUI06uKfKnflSfLvfq/wBNz6TN8/yurXisBRfLCPLzTUVOTblJuSjdXXNyr3n7sVtsn0UUV94fHGV418J2fjbw5P4evZmiEuGSZRkxuDkHB6/T0NN8D+ELLwP4ch8P2UzSiMlpJmXBkcnJOB09APQDr1rXorm+qYb619Z5ffty38r3sae2qey9lf3b3t5nJ+H/AISaP4f8dXXjeC+kdpy7Q2zIAsTOfnOe/t6ZPXt1lFFGGwmGwcHCjHlTbb9XuFWtUrSTm7tKwV+C3/Bzd4p+Mt9+25onhPxfNfp4OsPCME/g2B49tq0kjH7XKhHDyeYiKxPzAJGOBjP701598ff2U/2dP2pbTR7H9oT4Q6P4si0C+N3o6atAW+zSkAMVwRlWCruU5Vtq5BwK4M9y2rmuXvD058run5O3R/1ukfofhXxtgeAOL6ebYuh7aCjONlbmjzL4o30v0eq91yPzz/Y0/aBXx/8Asg+DLr9oj9trUv7Z1LQWj13R9U+IFlCJIDJIiRSxH5wGtxGGDHcQxJOSa+7f2VvC0ME+t/EG2d2h1ezsbW2ZSDE8UBuHV0IHzA/aSM5IOBjoc+trY2KKESziAAwAIxgCpQABgDAHYV52X8OVsHjoYmriZVORNJNd1brJ/wBWPms6z2lm2KxFWnh40lVnKfLHaN5OXKtFotl5BRRRX1J86ed3/wCyZ+zdqf7QFv8AtUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcwUUUUAeGftSfDv/hN/E6aYukyBtc0JtJa+tlJkKO0mUycqNvmMw47knIFe4wRCGBIQchEC8+wp1Febg8ujhMZXxHNd1WnbtZW+Z01sS61GnTtblv8AO4V8xf8ABSjxLr+gD4TWt7rd1pvgy9+JESeMLuIhICyWk8unxXMhI8uF75LcckBnEak/MAfp2sP4lfDXwH8YvAeq/DD4n+FbTW/D+t2bWuq6Vfx7oriJuqkdQcgEEYIIBBBANa5lhZ47A1KEZcrkrX/rp38jsyTHYfLs0p168OaCumtG7Si43jfTmjfmjfTmSPzs8M/HzRrX9qT4p+E2/a6vfDGgaami+XYWniyysIE1dreVL1FLgtIyxQ2QcEnY5ZeCCB9Dfsw6H4R+IHi/Q/Efgzxv/wAJFaaPrFzqN1rdtqkV79pumgnifzpkypc/aCSBg8DtXv3wf+B3wj+AHw9sPhR8GvAGneHvDumeZ9h0qwhxHEXdpHPzZLFnZmJJJJNdTHHHEu2KNVHooxXzGD4UxFCpRnVxLkqbUuWztddFd6ettj1M4zzA4rE1PqdDlg4qKbspNRio80krpSlbmklJ2b3e7dRRRX2h8sFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXIfHz47/AAr/AGYvg34h+Pvxt8VRaJ4V8Lac17rOpSoz+VGCAAqqCzuzFUVFBLMygAk119fJv/Bb34K/E/48/wDBNnxx4O+D3hK88Q65p+p6Fr0Xh3To99xqkGm6xZ309tEn8cjQ28m1OrMFUcmgD2T9kv8Aa8+B/wC2v8KD8YfgNrt7dabBq1zpep2WraVNYX2mX9uwWa1uradVkglXKkowBw6noRXp1fF3/BG3wt4/1CD9oL9pfxX8NfEng/R/jH8e9R8TeDdA8XaRJp+ojTBY2VolzPayYe3eWS2kbY4DbQpPUV9o0AFFFFAHjf7ZX7eP7Of7BvhfQPFv7ROv6nZWviXXYtJ0ldK0O4vne4kZVBcQowijBdAXchcuo5JAr2Svhj/g4R8Wala/8E/7n4a+GvhZ468V614n8X6C2m2PgjwXe6w8a2Wr2V7O8wtY3MK+TBIVZsBmAUcmvsr4Y/EDSviv8OdD+JuhaVq1hZeINKg1C0ste0qWxvYI5Yw6pPbzBZIJQDho3AZSCCARQBu0UUUAFeBfEr/gpf8Asm/CL9qzQv2OfiF4p1rTvFniLUbbTdNvZvC17/ZDajcwma3sG1HyvswupIwGWLfuwRnGa99r84/27vjXf/Gr/gq58If2Ufin8Ffilb/Cv4YeJNJ8XL4h8PfDLU9SsfE3i6Q7NNhe9ghaG0sbITmeeV25kwjbVjZqAP0cooooAKKKKAPAv2dv+Cln7Kv7UHx+8RfszfDHXfEMXi7w5pj6m9j4h8I32mJqWnpcm1a9spLmJFu7cTDZ5seVJIxkc177X5q/sHaV4p+IH/BaT4iftJ/DH4KfGnQPBWsfCiaw+IF38a9HuYfsXiIauJYLDRnuixW0ERndo7ZjbZ2Fe1fpVQAUUUUAR3V1bWNrJe3twkUMMZeWWRgFRQMliT0AHOa8p/Yx/ba/Z7/b7+EM/wAdP2ZvFFzrPhmDX7zRxqFzp8lt5txbMqyFFkALJ8wKuOCDWJ/wUv8Ah/8AtC/Fj9h34gfC79lzRIdS8YeI9Mi0230+bXE0w3NlNcxR38SXbqy28jWbXKpIVbazKdpIxXz1/wAG+Xgr49/Db9n74ueB/jb+yu/wogh+P/ii68PaG2qG5T7PNdZaKAmCLzLaEqscVyoKXCASKFHFAH31RRRQAV41+2J+3T8Ff2IdN8L3vxd0jxfqdz4y1qXSvDmkeCPCF3rd9eXMdtJcuq29ojyELDFI5IHAUntXstfDv/BcjwR8NPE/wZ8K+IvHPgn9oC/1jw9eareeBdY/Z8tbt9R0vW306W3gad7P9/FHIJnQMP3Z+YSEKcEA+zPAPjLTviJ4G0b4gaRp2pWdprmlW9/bWmsadJZ3cMc0ayKk8EoEkMoDANG4DKwIIBBrWryT9glP2hI/2KPhSn7WDXB+JQ8BaX/wm5vCpn/tL7Mnnebt+Xzd2d+ON+6vW6ACiiigDxH42f8ABQz9mL4BftDeGf2W/HXiPWJ/GfieCC5j07QvDV5qKaXaz3H2aC6v5beN0sYJJ8xrJKVUsDzgZr26vx5/4KI/AL9sjwX/AMFjdU+NX7P+lfGFdc+IA+HafDjV/A4uf+EZ8qw1F4tdttfaP9ysSWTyyok/yn7QxTL9P2GoAKKKKACvmv4F/wDBVT9mj4/ftPN+yD4c8LfEnQ/G50m91O3svGnw21LR4bqztJVimniluokWSPe6gMuQSwwea+lK+PP2TfAXjn4q/wDBU39on9r/AOIPgzV9M0vwzpuj/C74Zy6xp0tv9qsbaP8AtHVLqDzFHmQy3tyiLKmVf7KcE4oA+w6KKKAP/9k=", 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", 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", "info": {"equation": "0+8*5=40", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "cc3c7d57a21447d917fde54dae9a88e758bdc4e1f39177a6669ce6feb73ee361"}
+{"episode": 86278, "episode_seed": 2405574232, "split": "train", "timestamp": "2025-10-28T03:51:08.686466", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2405574232, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 1, 0, 4])</answer>", "action": "('move', [4, 1, 0, 4])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "85-46=39", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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8HP2JR+17N8VIfD/gk/GttG/fTi+hOs/YvLEXmmDfuC+XiPzdmdny7sHFGf5RVzWNJQq8nLK//BXmunz1PtPCrj/B8CrMvb4L6x9YouK0T5bX0lf/AJdSv7/+GOjPljxEf2bPjtrGmeGviR+0HZfEuO0vmuNH8NeJvGlnqVsbkRuomFquFmkWNpMFlbaGYgA8j23/AIJS319P+zprej6XfXN14M0f4havp3wzuZ8NG2gxNGsSW8gJ862jn+1QwuScxRIASoBOl/wUU+Dnwu+NPw68HfD/AOKvgiy1vRbrx0kk+n3QYI7JpmoMhyhVhhgDwa6/9iDw/ofhP9mbQPC3hjSYLDTdNvNUtbCxtYwkdvDHqV0iRqB0AUAD6V5GUZfWwPEk4VKzqNU73fW7Ss9XsfNYnOaNXhH6qua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfza/8EXfi7418A/tSXXh23+OepeC/C+taLcS+KLq216GxjnaFGNsXkmypYSyYGPmIduxav2V+AvxfbxLrsOg/Dv8AaGuPHFxFfRzTRP4ng1F4VbC4fyMbYyFP3h/eINe4/Av9kz9m39mb+2/+FCfBvRPC3/CR3wu9b/su22/apRu2k5Jwq732oMKu44Aya9BjggiOYoUUnrtUCvi8JwljqNOMXi5JJ35Y3tvfTVflufpfiZ4iZbxxxRPM8Lg/ZxcIx963M7L4pWTV9eVav3Yx9E+iiivuT8mPzS/4OevFHxl0T9jrwrofgeW/i8J6v4t8nxtJZx/u3CR+ZaRTMOVjMqswH3S8aZ5Cg/L3/BD7406tofwK8VeEPHH7UeoeC9D07X4m8OabF4rtNOR3ljdrp1WUb35EOT0BOBzmv2u+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXyeZcO4rHZo8VTxDppxS0vdeS1Wj3336H69hfEnLcP4U/wCqksEpVfbe09ppa1+bm2v7T/l3tb2fXofntYeCfgd4P+N/wf8AiX+zXPpmpePtY+LsKSeI9IuodR1DXbK5dxrz3c4LNNGtqZZHc8QusQXZuCt+l1fEXwT+AXwX8K/tyw/G/wAO/DfTbTxdrfxL8T2+qa/GjGeeIR6qNnJIUfuo87QM7BnNfbtHCNCVDCVk5N/vJLXysr/PqfI8W5rTzH6rCMpTcKesp/E3Jt8q1l7kPs3d23KVo35UV+Cv/Bzf4n+Ml/8Att6J4S8YS36+DrDwjBN4Ogkj22rSSsftkiEcPIZERWJ+YBIxwMZ/eqvlX/gox8Bvg58evHHgLSfjL8O9P8R2ul6Nrt5p9vqKsUhnEumLvAVhngkYOQe4rfi2k6mR1GnblafrqlZ/ff5Hu+EXF+E4J41pZliaHtY8s42VuaPMvijfS+lnqvdlI+T/ANj34w6F8SP2IvB2h/tF/tl30VxqfhdrPXfDt38QrOzjay3SRR27xpteNGthGpG4MQxyQSa96/YT0Dwf8N/239b+Hf7O2l2eneDLj4Xxah410fw9bxDTLXVRdQR6XMdnEVzNZ/a8gYMkcETtnhj7vc6bp1x/wT5kt5rCFkf4NlWQxjBB0nGK4D/gnH8C/g/8APE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXh4fKsRgc+wntK8p8yk9b6JLbd6O5jW4nw2KwWZ1VTdNVpO1KNvZLnne71WtPTkSjuk+Zctn9UUUUV+gn5weP6p8G/wBiS8/a9svinq/h7wQ3xqTR82M819CNZNmI3i81bcvuZRH5iebsJCgruwMD1xbW1RgyW0YI6EIK/mL/AGkfjH+1ToP/AAVC8U/E7xB4v1rRviTp3xFngtb95Ft57JFlMEEabvkSIW5RFB+QxnnKkk/s54J+OnhM+Jo7DQf2zrrxDd3ga3t9JuPHtndeczf3I4wHL8cbTnrXwsOMsHQlVjKg0+Z7W185bWffc/aPEXw0zDhahlk6uPWIVaimrtvktZ8sNX+7973Hpf3tEfblFYvw8udbvPBOm3XiIP8AbHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV+AH/AAR2+L3j3wL+2BHp9n8b9T8H6Br+mXZ8Y6jBrsVktwkcMkkBklnypb7QUwfvfOwHDNX9LNePfsyfBj9iD4a+JPGt9+yh4c8D22qahrGPHX/CK3sM8kd4rynyrhUdvIZWaXEWFAO7CjFfPZ3klfM8ZRqU6/s+VNdb+sdVr0eux+t8EeIOC4Z4GzjJ6uB9tLFKNp2Vo3933209I/FT39/te58X/Grwj+xf8YvB/i3x38YfippPj2707wnJFP4h1rxRbaneaJaKzPGbXacW7eeVKlVDSSFUJYELX3j+yfq/xO1/9l/4d658a4LmLxheeCdMm8UR3tsIZlv2tYzOJIwAEfzC2VAGDkV8y/8ABSP9n/4KfFj4rXHin4k/DTTNa1Dwv8NJLrQLi9jY/YpvOum3qoIVjujQ/MCPlHFfatiS1lCzEkmJck/SuLhvB1MHmuMpzqObjyJt9bpu71eq23Plc7zili+HMJhlzNqUpe9a1NL3VCnq3aWjnpHVRSj7t3LX51f8HMPif4xaB+wfpmnfD2a/i8Par4xt7bxvLZR5U2nlu8KTMOVja4WL2LBFPUA/orXMfGjwr8JvG3wn8QeFvjvYaRc+DrzS5V8SR69KsdmLQLudpXcgRqoG7fkbdoYEEZr6XMsLLG4CpQjLlck1f+unfyOPgrPKXDXFmCzSrR9tGjUjJw6v0/vLeP8AeSPxI/4IZ/GbWvDvwt8beDfGX7Tl/wCCvDlnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP35+zn8Pv2d/h/8G9G8Mfsw6R4dh8DwpK+iDw1cR3Fm4aV2kdJUZhJmQvltxOc88V8t+APgH8GdE/bwj+PWk/DjTYPGWo/FLVrS98QqjG4kgFlers5bao2xoCVAJC8nk5+CxOQ4nAPCc+Jck6kEkr2jfrHX7tEfoObceYPOeMsyzaFCVCM1J+zSX7yyUeWsrpJT1lU0nq3FLXmX2/RRRX6Wfix8OfGvx5HYftsfFqy+NvjOTTNN0rwZpD+FINTnjt7WPQWt3a+u4CxAkJvfMSZznb5NupwCu7yj9mL47eHfGP7MnhM/GX9ti/lutQ0EJq+i6v47sLdZrZiypDNAApQNBsDJwRuIODmvvf46fsnfs3/tM3+gan8e/g7oviq48L3jXWgy6rblzaSMULYwRuVjGhKNlW2DIOK782doTk2sZP8AuCvjK/C+MrY+tXjinBTd9L39HqtFst9D7fGcR5RVyqjSpYb97amptqKUfZw5FyNXb9p8dS6j7yXxbnlP7LvhEWJ1zx7ulI1pbSCPdjy2SASkOnHOTORnJHyjHQ161QAAMAUV9LluCWXYGGGUr8q32vrc+PxNd4mvKo1a4V/L94r+NH7Veg/8FMtT+KPirxtreg/E1fiJLbalqTzLa3FmWmNs8WX+SOJYD5YB/diMAfdr+oGvPE/ZO/Zvj/aAk/apT4OaKPiHLZfZJPFf2c/ami8sRYznbu8sCPfjds+XOOK87Psnr5vGkqdTk5JX6/erdV09XqfqHhd4iZdwCsxWKwar/WaLhHbR6+7K/wDy7nf37Xfux0Z8taF8Sfhj4r8V2Onx/tXv4yu47l30jSNQ8cWl7++Mbp5kcUeGaQRvIvfCu3HcfXPwI8HN4D+FemeHX84Nvubp1nADq1xcSXBUgAYwZSAOoA55rq1tbVGDJbRgjoQgqSoynIqmW4uWIq13UlJcuq6Xvu2z85xePjiaKpxgopO+n/DIKKKK+iPOCiiigAooooAKKKKAPCfBXw3ab9oddVOlSWa6NrmoaqywqRG8lxFcxlmLA5Dm5d+CMnpwCK92oorzcry5ZbRnBS5uaTld+Z04rEvEzUrWskvuCvin46eO7nTf28PG9l8X/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+9QFEQwiBpGbJXGTye1fcEEQhgSEHIRAvPsKSO3giO6KFFPqqgU+unJsmnlUqsp1XUlO1212v5u+5+Z43GrFqKUOVRvt5/cFfnV/wAHMPij4xeH/wBhDTNO+Hs1/F4e1Xxhb23jeWyj+U2nlu8MczDlY2uFi9iwRT1AP6K1h/En4beA/jD4D1X4YfE/wtaa3oGt2bWuq6VfR7oriJuqkdRzggjBBAIIIBrvzHCyx2BqUIy5XJWv/XTv5Hs8GZ9Q4X4qwebVqXtYUZqTjpql2vpzLeP95I/EH/gh18c/E+j/AAo8YeBvHn7U+q+DvDOlanbP4Y01fFtrp8XnTCZrsxrMCxGRCSB8oLEjlmr9Mf2YdD8I/EDxfofiPwZ43/4SK00fWLnUbrW7bVIr37TdNBPE/nTJlS5+0EkDB4Havf8A4P8AwP8AhJ8Afh7YfCn4N+ANO8P+HdM8z7DpVhDiOIu7SOfmJJLOzEkkkk11EcccS7Yo1UeijFfMYPhTEUalGdXFOSptS5bO110V3p92x7fHXGmE4r4mxuZ4bCqlGu9Fpe1lG8rL4pW5pav3m9XuOooor7Q/PQooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK5D4+fHf4V/sxfBvxD8ffjb4qi0Twr4W05r3WdSlRn8qMEABVUFndmKoqKCWZlABJrr6+Tf8Agt78Ffif8ef+CbPjjwd8HvCV54h1zT9T0LXovDunR77jVINN1izvp7aJP45Ght5NqdWYKo5NAHsn7Jf7XnwP/bX+FB+MPwG129utNg1a50vU7LVtKmsL7TL+3YLNa3VtOqyQSrlSUYA4dT0Ir06vi7/gjb4W8f6hB+0F+0v4r+GviTwfo/xj+Peo+JvBugeLtIk0/URpgsbK0S5ntZMPbvLJbSNscBtoUnqK+0aACiiigDxv9sr9vH9nP9g3wvoHi39onX9TsrXxLrsWk6SulaHcXzvcSMqguIUYRRgugLuQuXUckgV7JXwx/wAHCPizUrX/AIJ/3Pw18NfCzx14r1rxP4v0FtNsfBHgu91h41stXsr2d5haxuYV8mCQqzYDMAo5NfZXwx+IGlfFf4c6H8TdC0rVrCy8QaVBqFpZa9pUtjewRyxh1Se3mCyQSgHDRuAykEEAigDdooooAK8C+JX/AAUv/ZN+EX7Vmhfsc/ELxTrWneLPEWo22m6bezeFr3+yG1G5hM1vYNqPlfZhdSRgMsW/dgjOM177X5x/t3fGu/8AjV/wVc+EP7KPxT+CvxSt/hX8MPEmk+Ll8Q+HvhlqepWPibxdIdmmwvewQtDaWNkJzPPK7cyYRtqxs1AH6OUUUUAFFFFAHgX7O3/BSz9lX9qD4/eIv2ZvhjrviGLxd4c0x9Tex8Q+Eb7TE1LT0uTate2UlzEi3duJhs82PKkkYyOa99r81f2DtK8U/ED/AILSfET9pP4Y/BT406B4K1j4UTWHxAu/jXo9zD9i8RDVxLBYaM90WK2giM7tHbMbbOwr2r9KqACiiigCO6uraxtZL29uEihhjLyyyMAqKBksSegA5zXlP7GP7bX7Pf7ffwhn+On7M3ii51nwzBr95o41C50+S2824tmVZCiyAFk+YFXHBBrE/wCCl/w//aF+LH7DvxA+F37LmiQ6l4w8R6ZFptvp82uJphubKa5ijv4ku3Vlt5Gs2uVSQq21mU7SRivnr/g3y8FfHv4bfs/fFzwP8bf2V3+FEEPx/wDFF14e0NtUNyn2ea6y0UBMEXmW0JVY4rlQUuEAkUKOKAPvqiiigArxr9sT9un4K/sQ6b4Xvfi7pHi/U7nxlrUuleHNI8EeELvW768uY7aS5dVt7RHkIWGKRyQOApPavZa+Hf8AguR4I+Gnif4M+FfEXjnwT+0Bf6x4evNVvPAusfs+Wt2+o6Xrb6dLbwNO9n+/ijkEzoGH7s/MJCFOCAfZngHxlp3xE8DaN8QNI07UrO01zSre/trTWNOks7uGOaNZFSeCUCSGUBgGjcBlYEEAg1rV5J+wSn7Qkf7FHwpT9rBrg/EoeAtL/wCE3N4VM/8AaX2ZPO83b8vm7s78cb91et0AFFFFAHiPxs/4KGfsxfAL9obwz+y3468R6xP4z8TwQXMenaF4avNRTS7We4+zQXV/LbxuljBJPmNZJSqlgecDNe3V+PP/AAUR+AX7ZHgv/gsbqnxq/Z/0r4wrrnxAHw7T4cav4HFz/wAIz5VhqLxa7ba+0f7lYksnllRJ/lP2himX6fsNQAUUUUAFfNfwL/4Kqfs0fH79p5v2QfDnhb4k6H43Ok3up29l40+G2paPDdWdpKsU08Ut1EiyR73UBlyCWGDzX0pXx5+yb4C8c/FX/gqb+0T+1/8AEHwZq+maX4Z03R/hd8M5dY06W3+1WNtH/aOqXUHmKPMhlvblEWVMq/2U4JxQB9h0UUUAf//Z", "info": {"equation": "85-46=39", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "81741c011b88843b7a0d404354f4709341871e5c780a64b426f29f87801ac668"}
+{"episode": 86279, "episode_seed": 995243481, "split": "train", "timestamp": "2025-10-28T03:51:08.745310", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 995243481, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 2, 1])</answer>", "action": "('move', [0, 0, 2, 1])", "reward": 0.0, "image": 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", "info": {"equation": "168/12=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "168/12=14", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "3984a7a69d59ddabe7edc50ff104abc1a0bbfdc7510964c963cfd828fc193a56"}
+{"episode": 86280, "episode_seed": 2326426575, "split": "train", "timestamp": "2025-10-28T03:51:08.811839", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2326426575, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 4, 6, 4])</answer>", "action": "('move', [3, 4, 6, 4])", "reward": 0.0, "image": 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", "info": {"equation": "13+54=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Qdl8S47O+a40fw14m8aWepWxufLdRMLVcLNIsbSAFlbaGYgA8j2j/AIJNE237N2uaB4caR/BGkfEbWrL4aTGNfKfRElQqIHXPnW6XLXccUhJ3Rxrywwx1/wDgop8HPhd8afh14O+H/wAVfBFlrei3XjpJJ9PugwR2TTNQZDlCrDDAHg11/wCxB4f0Pwn+zNoHhbwxpMFhpum3mqWthY2sYSO3hj1K6RI1A6AKAB9K8jKMvrYHiScKlZ1Gqd7vrdpWer2PmsTnNGpwi8Kua8qitF25IKKb5o6355NtP3YpK+snL3fWK8O/4KVeJvjF4N/YN+Kfif4BPfJ4ssvCc8mmS6ZFvuYVyomkiHXesJlYEfMCoI5Ar3GggMCrAEEcg19nXputRlTTtdNXW6ut/kfL5XjI5dmdDFypqoqc4ycZbS5ZJ8r8naz8mfzS/wDBG/x98TNI/bL8P+AvDvie8h8Oa/emfxRpqTjybw29vcNbO6t95klfKlfmG5v4d1fsn+zN8QdU/wCEu1vwR4R+Ib3uoWnji9mufDqamkhsUkuCAGhX5oo3GX+bglmYH06r4n/so/s5fsw+BYm+AHwf0bwofEfxB0+71s6TblPtUoE20nJOFXe+1BhV3NgDJr0f9jqNB8KLyQINx8Xazlscn/Tpq/NsJw7iaObxwjrtNQ5rxvtz/CtV6+vQ/VvEzj7L+OM6nnGFwvs4NRhaVuZuMfila6vryrX4Yx16Hq1FFFfpx+Nn5pf8HPXij4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHKxmVWYD7peNM8hQfl7/gh98adW0P4FeKvCHjj9qPUPBeh6dr8TeHNNi8V2mnI7yxu106rKN78iHJ6AnA5zX7Q/Hfwh8F/Hnwh1/wAKftEWGi3Pgq7sT/wkUfiGdIrIQKwffK7sojCsqsHyNpUEEEA1B8A/AnwH8C/CDQvC37OekaBB4KtrQnw+nh2VJrNomdnLxyKWEgZ2Zi245JJJJr5LMuH8Tjs2eJp4l07xS0vdW7arR7+p+w4XxEwOH8JP9WJYDmn7bn9rZcu/Ne9r+0t7n/Xvr0PgrSfC/wAG/Avxq+EvxF/Zh1KyvfHfiL4sQW954g0S+i1C/wDEWn3EpbXftswZjcQpbh5nZsiGSKHbsJAP6U18RfBP4BfBfwr+3LD8b/Dvw30208Xa38S/E9vqmvxoxnniEeqjZySFH7qPO0DOwZzX27T4RoSoYSsnJu1SS18ra/PqfHcW5pTzH6rCMpTcKesp/E3Jt8q1l7kPs3d23KVo35UV+Cv/AAc3+KPjJf8A7beieEvGEt+vg6w8IwTeDoJI9tq8krH7ZIhHDyGREVieQEjHAxn96q8++Pv7Kf7On7Utpo9j+0J8IdH8WRaBfG70dNWgLfZpSAGK4IyrBV3Kcq21cg4FepnuW1c2y94enPld0/J26P8ArdI9fwr42wPAHF9PNsXQ9tBRnGytzR5l8Ub6X6PVe65H5zfsffGDQviR+xF4O0H9oz9sq+juNT8LtZ674du/iDZ2cbWW6SKO3kjXa8aNbCNSNwYhjkgk17t+wj4T8B/DT9uvX/Bv7Ofh/TtM8K3vwqt7vx1p/h2zhWwg1JLuJNJdjH/q55bR747RjfHGkhBJDN9V/tG6Xpsv7O3jy1k0+Ext4K1RGTyxgr9klGPpivEP+CcfwL+D/wAAPE/jbwl8F/h9p/hzTrrRtDu7m109WxLO0mpKZGZyzMdqqOTwBxXy9LKMRl/EGFjUxEql1J630sttW9GFXijDYzA5nWjTdNV5O1KNvZLnle71WtPTkSjuk+Zctn9UUUUV+gH5weP6p8G/2JLz9r2y+Ker+HvBDfGpNHzYzzX0I1k2YjeLzVty+5lEfmJ5uwkKCu7AwPXFtbVGDJbRgjoQgr+Yv9pH4x/tU6D/AMFQvFPxO8QeL9a0b4k6d8RZ4LW/eRbeeyRZTBBGm75EiFuURQfkMZ5ypJP7OeCfjp4TPiaOw0H9s668Q3d4Gt7fSbjx7Z3XnM39yOMBy/HG05618LDjLB0JVYyoNPme1tfOW1n33P2jxF8NMw4WoZZOrj1iFWopq7b5LWfLDV/u/e9x6X97RH25RWL8PLnW7zwTpt14iD/bHtwZjIMMeTgsD0JGCfetqvtaFVV6EaiVuZJ2e6ur6n41Uh7Obj2djyX9vLxB8XPCv7GXxN8SfAcXn/CX2Xgy+m0FtOh8y4ScRE7ol7uo3FcAnIGATgV/P5/wR5+KPjDwR+2bb/Z/jHe+ENI1rR72PxXq8Osw2ZlhWJpY1eacEDNysPT5iT6E1/S7XxD/AME3/wBn/wCCvwj+K+neIvht8NdM0e/8TfDq6u9fu7aNjJezfaNNbc5cnHzSOcDAyx4r5DiXBVMXmuEjCq4OXMk10sr3Wq1ex+v8C8fYDhvgTOcorYNVZ4lR5ZO1ldcvvX19z44Wvad9tzzD4veHf2O/ij4a8T/Ev4o/F/TvGup6P4XYf8JRqniy31C/0C3jcyRSWbIw+yyC4KsjIA7ybFJbIWvu39k/V/if4g/Zg+Heu/GuC5j8YXngrTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/BSP9n/4KfFj4rXHin4k/DTTNa1Dwv8ADSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0p8N4Opg81xdOdRzceVNvrdN3er1Wx8hnecUsXw5hMMuZu8pe9a1NL3VCnq3aWkp6R1UUo+7dy0UUV9mfGFfV3vo9JupNMTdcrbubdcZy+07Rz74r+aX9h7x/8AtW6h/wAFdPBXjK9fWbj4l3/xREfi1bm03XQWSZotUSWNhhFS2NyGGAI1Q427Rj+mKviHwF8Bvg3o/wC3knx80z4dadF4z1L4pataX3iIKxuJYBZXq7OWKqNsaAlQCQvJ5OfkuJ8PKriMHJSa/eJaedtfVW09T9e8L+PMDwdlucYbEYRVniaDjFu2jSkuWV/sS5ryS1vFadV9vUUUV9afkIVhfFDR18Q/DjXdAk0xL1L7SZ7eW0cHEyPGVZeOTlSRxW7RWdan7WlKF7XTV/UqEuSal2PJv2YPBsmlS6942mE6tq32W2CyLhStv5x3LxnrMwJ6fL2wa9Zoorly3BLLsDDDKV+Vb7X1ua4mu8TXlUatcK/l+8V/Gj9qvQf+CmWp/FHxV421vQfiavxElttS1J5ltbizLTG2eLL/ACRxLAfLAP7sRgD7tf1A154n7J37N8f7QEn7VKfBzRR8Q5bL7JJ4r+zn7U0XliLGc7d3lgR78btny5xxXnZ9k9fN40lTqcnJK/X71bqunq9T9Q8LvETLuAVmKxWDVf6zRcI7aPX3ZX/5dzv79rv3Y6M+WtC+JPwx8V+K7HT4/wBq9/GV3Hcu+kaRqHji0vf3xjdPMjijwzSCN5F74V247j65+BHg5vAfwr0zw6/nBt9zdOs4AdWuLiS4KkADGDKQB1AHPNdWtraowZLaMEdCEFSVGU5FUy3FyxFWu6kpLl1XS9922fnOLx8cTRVOMFFJ30/4ZBRRRX0R5xwP7R2irrPw9Rn0tbkWepQ3QYgkwFN2JBj0zjnjBNTfs7+D28GfDKGycTB73ULy/kScYZTPO8uMYGB83GecV3HXrRXmxy5LNnjubVw5LfO97nS8S3hFQt1vf5WCiiivSOY/NL/g568U/GXRP2OvCuh+B5b+Lwnq/i3yfG0lnH+7cJH5lpFMw5EZlVmAPyl40zyFB+Y/+CI3x28R6f8AAbxJ4L+If7V+reENB0XWok8KaV/wl9rYRr5qyS3XlpMCxXe0bHHyhnbHJav2p+Kfwr+Hfxu+H+qfCr4s+ELPXvDutW4h1TSb+PdFcIGDAHGCCGVWBBBBUEEEA1F8Kvg58Lvgf8P9N+Ffwl8DafoPh7R4mj03SrGHEUCs7O2M5JJZmYkkkliSSTXymZcO4vHZo8VTxDppxS0vdW6LVaPfffofr2F8Scsw/hT/AKqSwSlV9t7T2mlrX5uba/tP+Xe1vZ9eh4F+yxoPhXxv4w0Hxb4M8Xf29YaLf3t/JrVrqUd4t1dSw3EUrSzJlWdmuZGIGDuHQAEV9RUiRxxLtjQKPRRilr1cnyv+ycK6Lm5tycm2rau3m+3c/LMZivrdVT5bWVrBRRRXrHIY/wAQtKXXfAWtaHJpyXiXulXEElpJnbMrxsrIcc8gkcetedfsveDH0q/1/wAZyxTxnULeysVSRcLttmuWyOM5zcMDzj5QOCDXrtFebXy5VszpYxy/hqSt35tP6+R0wxLhhZ0bfE1r6BRRRXpHMed3/wCyZ+zdqf7QFv8AtUah8HNFm+IVrZ/ZbfxU9uTcpF5bReu0t5bMm8jdtO3OABXoC2tqjBktowR0IQVJRUQp06d+VJXd3bq+78zpxGMxeLUFXqSnyRUY8zb5YraKvtFXdktEFFFFWcx5R+3Tr3xS8L/sd/EnxD8FXv08UWfhG8l0iXSoPNuonEZ3SQpg7pVTcygAncBgE4FfDvj74zeBPBfxO+B/h74W/tIv4c0m+0XUlvb3S/EVpD5+grYIYZZZ5d23N3DaqpBy7CUc7Wx+nNedfBT9kj9mr9nLWPEPiD4HfBnQ/DN54rvBdeIJ9MttpvJAzsuckhVDSOQi4UbjgCvms6yPE5pi6VWlWcORNdbq/VWa16PVaH2GSZ7lWX5TVoYmhz1PfcNI2k5wUPfb1Sp254WUveuvdvzL5i8Hy+AvjRdar4V8O/HSTxzquraZ9gubg+J7fUbq1tX3qAoiGEQNIzZK4yeT2r7ggiEMCQg5CIF59hSR28ER3RQop9VUCn105Nk08qlVlOq6kp2u2u1/N33PncbjVi1FKHKo328/uCiiivcOEK8J0T4ai8/aNS/GlS2a6Z4hudYbyFISR5IJ4t7Fs8P5xbjHzDjoRXu1FebmGXLH1KMnK3s5qXrbodOHxLw8ZpK/MregUUUV6RzBRRRQAUUUUAFFFFA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", "info": {"equation": "13+54=67", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "20629c6bf9a770354ee86ac631cfb757c681b0787de8173411128c66480ad9f3"}
+{"episode": 86281, "episode_seed": 2849477281, "split": "train", "timestamp": "2025-10-28T03:51:08.870781", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2849477281, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [2, 7, 0, 6])</answer>", "action": "('move', [2, 7, 0, 6])", "reward": 0.0, "image": 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", 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or2CvA/8AgqL4q+N/gj9gD4o+Kv2c31BPF9l4d36dNpMO+5ghM0YupYh1DpbGdww+ZSu5eQK98o69a+tr0nWoSpp25k1dbq63XoflGU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/L5/wSz+Jfjf4dftq+Frzwt8T7vwpaas8ll4n1i21KG1I01gJZQ00wKoC0UZz1JUAcnB/XnWrT9mf49+ItG0r4mfHXT/ifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DOr7VZ8YyTX07+yz8DP2Bfhl4x8Zap+yJ4Z8A2+t3V4sXjU+Er+G5mt5fMlZYZlSR/s3ziX93hBlDx8gxyn/BSD4K/Cj44aH8PfAPxa8B2Ou6NJ4xnnewuwyoZI9KvijZQq2QSe9fm+J4axWCyepUeKbik3yq/K9fX79Nz9q4+8SMDxnx1RxtHDTwijCMHKy9ts23ZON9JcsVzq8d2k7LE/4JK3t0ngH4i+E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuslg6eUUE3f3IvXzV/w2PyHiXHwzPPa+JhGylLru7JR5pW3nO3NN9ZNsK/nV/4OE/Fvxw13/gpB4j8PfFabUV0TSLC0TwFbXUWy3XTXhRnlgA4YNceeGfklo9pPyAD+iqvNPj/APsc/sv/ALU99oup/tC/BPQ/Flx4ekd9Hm1W3LNb7ypZcqRuUlFJRsqcdK58/wAqq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+ZX7CPxN+J3xC/4J06r8RvjZ8Rb+41tvEsHn+JL2/QXENtAdNjt5Wm6K0cEcfzv8w2ZfJya/RX9mjx/rfjzVxq2k+MT4h0SeyJ/tOO9W5hkKEIrpIhKFiVIO3r83GRx5D8a4IIPib8QbeGFEjX4i+H1WNVAUD7PoYwB6V9kIiRrtjQKB0AGK+V4fyitLMqs/bu1KpZr+drq9evz3PB4mzmlmOLq4qNCMFXcpqK2gpS5uWOi0jey222Fooor9FPjT4y/4L3+Lvjl4M/4Jt+K9Q+Bsuowvc39raeKrrS4t0sOjSF1uSSPmRCfLR2HRHbOFLEfj/wD8EXPin4u+H/7U9xodn8Z7zwV4Z1fQ528T31rrFvYLKIUY2ytLMCAfOcYVeTuPbOP6Q9b0vRtb0W80XxFYW11p95ayQX9reRq8M0LqVdHVuGUqSCDwQTmvJP2N/g9+w38LvBWrQfsQaP4IXQ73VA2s3Pg3VIr+OS6WNcJJMkkh3KjKQhb5Q+QBvJPymcZBXzHM6denX5LK3W6/w6re+up+18J+JeByHwwzHh6pl/tZ1pXVSy5VzJL942m+aHLenvr2td/KWv8Ahj9kf4+a+NR+LXxV0L4pXem6PdR20XjDxda6pHplmwBuZYogwSDIC759oZQifOu0V9A/8Epte8Z6/wDsjWr+I9T1O/0az8T6tZ+AdR1dMT3fhyK6dNPk3dZE8kBUkPLRqhyQQxwP+ChX7O/wQ/aB+LPw68O/Gj4Z6b4isbDQ9dubO2vg4WKU3GlKXGxlJ+UkYORz0r2L9jC0tbD9lPwDYWNtHBBB4at4oIIUCpGirhVVRwoAAAA4AFcGQ4Grg+I8RTnVc3GKu31vZ66vbZanx+ZZ3Rr8IUsIuaUpTvaVuSko8+lPVu8+a8vdgla1pXuvTqKKK+6PhDxL46fA39gbx1+0F4O8bftB+G/ANx8SbVoV8Fv4g1CGLUZzHMXiWGFpFNxtlJKja+GJxya9pNnaE5NrH/3wK/mQ/wCCr/xA/aF1L/gpJ8SNc+MWq6xaa9oXi+eDwy826CSy0uGdm05rfbjYnkmOVWX7zOXzuYmv1N/Zu/aSn8QfAjwV4p+MP7eOp2/iq88PWdz4gtJ/iFp8Oy6ZAzq0QX5Oeq9unFfDQ4wweHxVaE6DVpWvFK7tpeW2v3n7lx74W5jw3wxlOOqZiq6rQ0g27U7pTtS1d4a6tKOtnb3tP0lVVQbVUADoAKWvKv2bfF/iPxkL3WZdabU9JuoEuLW/E/mxSM/zAxOMqyspz8pxjbjrz6rX1WWY+GZ4OOIjFxTvo/J2PxXFYeWFrOm3ewV+cf8AwcyeLfjj4c/Ym0XS/htNqMPhfVvFC23jyewj+U2+zdbxTOOUieYD0DMEUnkA/o5XkH7eXhrQfGf7Kfijwj4p0uO+0zVJNPtNQs5s7J4ZNQtldDgg4Kkjgg81GcUXXyqtBSt7r1Xlr+Oz8j6LgjPaPDPF2CzStRVWNKopOL69Lq+nMr80X0kkz8R/+CGHxf8AFHg3x5418G6t+0DfeB/B82jpez/Z/ENtpyXGpiaOOL55gS58nzvlXjABP8NfeXj34ffsP/Gq18R+NvjR4+8O/EOeLw+INX8QeJ/FFtqdxpWnKxKiJwwW0USEsGQKWdsEnOK+gf8Agnf8EvhJ8DPE3j7wF8Ivh/p2gaOsGkXH2GxjO0yv9s3OxYlmYhVGSTwoHQAVw3/BQX9mv4C/Gr9oS+8Q/Fj4VaTr154e+GdnNo01/GxFs5utTckKGCuC0aHDBh8vTk5/NK2VYiHDccW68nHT3NbK8rd7eex+k8Scd4DiTxIrZlRpzwsJWXNTt7VqMVq7SiryaV3zO2mkra+5f8E5tc+KniT9h/4a6z8aFvv+Ehm8OJ9ofVLQQXMtuHdbWSWMAbZHthC7ZAOWOQDkV7XXOfB5i3wk8LMxyT4csSSf+vdK6Ov1fDwdLDwg3eySu93Zbs/GczxccfmVbExgoKpOUlGO0eZt8q8ley8gr8prb4r+Jo/2C/F3i7xz8QdUg+LtzqeoHWYpxEdWh8Zi8b7JYR2pz8wlgto4YVU5t40Kgr8x/VmvgP4+fs5fAvXf2tfGP7QOtfC7S7nxppvxL8OxWHiKdGaeBVh0VV2jdsyFdgG25GeDkCvk+MsPKrh6ElNq00tP73X1VtPVn1XBuZZXg/bUsbScleFRNKLbdPm/dvmtaFTn95q7XLF8ktih/wAF9vGv7S+g/wDBLXTbnwimo2s2r6jplp8UX063GYbCW1l89JCufLia78iNtpwQ+wnaxB+PP+DXPX/jFbftUeOPDfh2C7fwPdeEFn8UOtsGgjvo5gLHdIR8jlXuwqg/MA/B25H6+/ts6Vp2u/sjfEbQ9Ys0uLS98IXtvd28n3ZYniKsp9iCR+NeS/8ABPb4EfB39nz4p+PPBvwT+HeneG9MufD+i3VxaacrYlmNzqi72Z2ZmO1QBk8AcYqcdhZf624WXO9Yv/yVP8+vzPuMl8R8vwPhJmPDksFF1K07qaty2k4u8lvzQt7lvLbl1+q6KKK+0PxA+Jvjz4x16L/go3q/h/4n+I7my0uz+G9pJ8NLC8kWGzuhJLK2rzREkedOhhtA45McXOApyfFP2YP2itD1e18eJqP7bupaTodp8TdXh8G2yeNdPsozpu6Ny0SFcvF9qe7CSHO9ApBIwT+gn7Q37LH7PX7V/hiz8G/tE/CjSvFenade/a7G31JGzbzbChdHRlZcqxBAODxkHAx1/h3wl4X8JeH7Hwp4Y8PWdhpmmWcVpp1haW6pFbQRqEjjRQMKqqAABwAK+MxPDGMr5nVxMMS4KXa9/R6rRdD7qvxLks8lhRjhr1uWEJXUVCKgrc8HrJzqWTndKz5tZcy5flv9n7wx4O+JutaDceCPGI16w07xH/at1rVlqcd59oukkeaRppkypZ5HJbGDluMV9a02OOOJdsUaqPRRinV7eS5T/ZGHlTdRzcpOTbVt7eb7dz5HG4v65UUuWyStYK8D/wCCovir43+CP2APij4q/ZzfUE8X2Xh3fp02kw77mCEzRi6liHUOlsZ3DD5lK7l5Ar3yjr1r069J1qEqaduZNXW6ut16GmU46GWZrQxkqaqKlOM3CXwyUZJ8svKVrPyZ/MF/wSu+LfxH+Gn7ZPhyLwh8XtR8I6br0rWni7UbTV47RZNPAMr+ZJN8gwyKQT82eBycH9k/DfxF+GPi7xTp9p/w1MfGeoxSSNpGmah42tL5o5TE6tJFFFhi/lNIuecKzcdx9O/A79jP9ln9mrxDr3iv4EfA3QfDGoeJpA2t3WmWpVrjDs4UbiRGm52OxNq9OPlGPSVtbVGDJbRgjoQgr4ajwbjY4b2UsW0ne8Um4/8ApS+eh+qeKHiblnHXEscxwmC9nGMIwvLl55NXbbsmtL8sdXok9L2XGfs8eCW8A/C620eQTh7rUL7UJEuQAyNdXUtwVxgYAMmADzjGcmu3oor7fC0FhcNCindRSX3Kx+P1ajq1ZTfVthRRRW5mfPHxN+FjeL/jJfaK+jy2v9r67YX9zPaKczC3NttlJYEfcto0PbjHBr6HoorystyuOXVK01Ny9pJy16X6efqdeJxTxMYRtblVgooor1TkPjL/AIL3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/ALNn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rm/D+KzLMYYmnXcElbS916Wa3vrqvmfs/CvihlfD/hrmHDVbAqpUxEm4z05feUVed9eany3p2vrba138y+BPHXw98ZeL4f7H/aIPjvW4rSSOxt7rxbbajPbws8bSiKOHBAZo4dxwfuJ07/AFx8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V0qW1vE26OBFPqqgU+unJ8inlmJqV6lZ1JSSV2u3nd3PynGY+OKpxhGCil2/4ZBRRRX0J5x5l8Uf2NP2WvjV8V9C+OXxW+B+g674t8NeV/YmuX9sWmtvKkMsY4IDhJCWUOGAJOMZr0k2doTk2sf/AHwKkoqI0qcJOUYpN76b+vc6q+OxuKpU6VarKUaatFOTait7RTdoq+tlYRVVBtVQAOgApaKKs5Qr5T/4Kf8AirxH4duPhDZarrt3pXw+vviEB47v4WWO33x28kumxXUpI8q3e9SEEkhWYIpPIDfVlY3xD+Hvgj4seB9V+GvxJ8MWetaDrdk9pqul38QeK5hcYZWH6gjBBAIIIBrizLCTx2BqUIy5XJWv/XTo/I9fIsfh8szWniK8OeC5k1pe0ouPNG+nNG/NG+nMkfnHr3x103Q/269V8F2H7Ud34U0WH4bQyeJ7ax8S2djDHqyXxW1RnkBYzG3e5LR5+VRGxA3Ln1XwRqfgL4o32q6X4W+NZ8daxqGnLZ3VyfEkGpXcNt+8VEHk/cQNNIwyv3nPJ6V9VfAv9nH4Gfsz+A1+GXwH+GOl+GdCW8kujp+nQna88mN8jMxLOxCqMsScKo6AAdnHBBEcxQopPUqoFfIQ4NxUsMqNXFvl6xSbj8ry/Q9jNOIMtq4tPBULQjFRUpWU5W3lJK6Tb6KTsrLmdruj4Q0KPwt4T0vwzFI7rp2nQWqu5BZhHGqAnHGeO1aNFFfdpWVj5Fu7CvyevfjRqWif8E9fHPxD+KfxVvtL+KAutUm8S3F9NDHqVj4uS5dre1WBshCkkFukMQXH2eJGUFRuP6w15lq37Gf7LWu/tBW37VWsfA/Qbj4hWaItv4pktibhSsRiViM7WdYztDlSwAUAjaMfP8QZNXziFJU6nJyu/wDwfVW09Xqj67hbO8oyqNWGPouacoTXKott0+f92+a1oVOf3mrtcsXyS2PkLRfjH8PPEfgjT7D4m/tuTak13pVuNf0fUfiNYNb3EjRKZoZETGULbgVBHHGa+qP2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/+fSL/v2KkAA4ArnwHDdbCZhDFVsTKo4p2TXdW3cmePi80hiKU6cKSgpO+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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T/ifPp9xJNoXh7xP4xtNUt0uGjIaZLNcJLKI94DOr7VZ8YyTX07+yz8DP2Bfhl4x8Zap+yJ4Z8A2+t3V4sXjU+Er+G5mt5fMlZYZlSR/s3ziX93hBlDx8gxyn/BSD4K/Cj44aH8PfAPxa8B2Ou6NJ4xnnewuwyoZI9KvijZQq2QSe9fm+J4axWCyepUeKbik3yq/K9fX79Nz9q4+8SMDxnx1RxtHDTwijCMHKy9ts23ZON9JcsVzq8d2k7LE/4JK3t0ngH4i+E/B9/cXfwz0H4hT2PwunciS2SxFvC11BaTZPnWsV811FG2WACbQxC4H1nXjH7AvhXw34F/ZutPBfg3Q7bTNJ0rxLrtrpun2ceyK3hTVboKijsAPxPU5Jr2evuslg6eUUE3f3IvXzV/w2PyHiXHwzPPa+JhGylLru7JR5pW3nO3NN9ZNsK/nV/wCDhPxb8cNd/wCCkHiPw98VptRXRNIsLRPAVtdRbLddNeFGeWADhg1x54Z+SWj2k/IAP6Kq80+P/wCxz+y/+1PfaLqf7QvwT0PxZceHpHfR5tVtyzW+8qWXKkblJRSUbKnHSufP8qq5vgfYU58runrs/J/n6o+08JOPcB4d8VPM8Zh3Wg6coaW5ot2alG9lfTleq92T9H+eP/BP/wDaU8R+LP2QvBut/Hv9unW9O8SyWk0c9pdfECxtpY7dJ5EttyOC4JgWM5f5mzluSa+7f2ZfiBrvj3VF1fS/GJ8QaLPYEnU0vVuIZCuEV1kT5CxKkHb1+bjI49mj0+wijWKKxhVVUBVWIAADoBUqIka7Y0CgdABivOwfDeMw+Kp1Z4yclF3s72fl8T/LY+VzviDD5vj8TiaeFjSVacpKMbWjzSbstFor2W2wtFFFfWHzJ8Zf8F7/ABd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/APgi58U/F3w//anuNDs/jPeeCvDOr6HO3ie+tdYt7BZRCjG2VpZgQD5zjCrydx7Zx/SHrel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIK+Y5nTr06/JZW63X+HVb311P2vhPxLwOQ+GGY8PVMv9rOtK6qWXKuZJfvG03zQ5b099e1rv5S1/wAMfsj/AB818aj8WviroXxSu9N0e6jtovGHi611SPTLNgDcyxRBgkGQF3z7QyhE+ddor6B/4JTa94z1/wDZGtX8R6nqd/o1n4n1az8A6jq6Ynu/DkV06afJu6yJ5ICpIeWjVDkghjgf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNXB8R4inOq5uMVdvrez11e2y1Pj8yzujX4QpYRc0pSne0rclJR59Kerd5815e7BK1rSvdenUUUV90fCHiXx0+Bv7A3jr9oLwd42/aD8N+Abj4k2rQr4LfxBqEMWozmOYvEsMLSKbjbKSVG18MTjk17SbO0JybWP/vgV/Mh/wAFX/iB+0LqX/BST4ka58YtV1i017QvF88Hhl5t0EllpcM7NpzW+3GxPJMcqsv3mcvncxNfqb+zd+0lP4g+BHgrxT8Yf28dTt/FV54es7nxBaT/ABC0+HZdMgZ1aIL8nPVe3TivhocYYPD4qtCdBq0rXild20vLbX7z9y498Lcx4b4YynHVMxVdVoaQbdqd0p2pau8NdWlHWzt72n6SqqoNqqAB0AFLXlX7Nvi/xH4yF7rMutNqek3UCXFrfifzYpGf5gYnGVZWU5+U4xtx159Vr6rLMfDM8HHERi4p30fk7H4risPLC1nTbvYK/OP/AIOZPFvxx8OfsTaLpfw2m1GHwvq3ihbbx5PYR/KbfZut4pnHKRPMB6BmCKTyAf0cryD9vLw1oPjP9lPxR4R8U6XHfaZqkmn2moWc2dk8MmoWyuhwQcFSRwQeajOKLr5VWgpW916ry1/HZ+R9FwRntHhni7BZpWoqrGlUUnF9el1fTmV+aL6SSZ+I/wDwQw+L/ijwb488a+DdW/aBvvA/g+bR0vZ/s/iG205LjUxNHHF88wJc+T53yrxgAn+GvvLx78Pv2H/jVa+I/G3xo8feHfiHPF4fEGr+IPE/ii21O40rTlYlRE4YLaKJCWDIFLO2CTnFfQP/AATv+CXwk+Bnibx94C+EXw/07QNHWDSLj7DYxnaZX+2bnYsSzMQqjJJ4UDoAK4b/AIKC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP5pWyrEQ4bji3Xk46e5rZXlbvbz2P0niTjvAcSeJFbMqNOeFhKy5qdvatRitXaUVeTSu+Z200lbX3L/AIJza58VPEn7D/w11n40Lff8JDN4cT7Q+qWgguZbcO62sksYA2yPbCF2yAcscgHIr2uuc+DzFvhJ4WZjknw5Ykk/9e6V0dfq+Hg6WHhBu9kld7uy3Z+M5ni44/Mq2JjBQVScpKMdo8zb5V5K9l5BX5TW3xX8TR/sF+LvF3jn4g6pB8XbnU9QOsxTiI6tD4zF432SwjtTn5hLBbRwwqpzbxoVBX5j+rNfAfx8/Zy+Beu/ta+Mf2gda+F2l3PjTTfiX4disPEU6M08CrDoqrtG7ZkK7ANtyM8HIFfJ8ZYeVXD0JKbVppaf3uvqraerPquDcyyvB+2pY2k5K8KiaUW26fN+7fNa0KnP7zV2uWL5JbFD/gvt41/aX0H/AIJa6bc+EU1G1m1fUdMtPii+nW4zDYS2svnpIVz5cTXfkRttOCH2E7WIPx5/wa56/wDGK2/ao8ceG/DsF2/ge68ILP4odbYNBHfRzAWO6Qj5HKvdhVB+YB+DtyP19/bZ0rTtd/ZG+I2h6xZpcWl74Qvbe7t5PuyxPEVZT7EEj8a8l/4J7fAj4O/s+fFPx54N+Cfw707w3plz4f0W6uLTTlbEsxudUXezOzMx2qAMngDjFTjsLL/W3Cy53rF/+Sp/n1+Z9xkviPl+B8JMx4clgoupWndTVuW0nF3kt+aFvct5bcuv1XRRRX2h+IHxN8efGOvRf8FG9X8P/E/xHc2Wl2fw3tJPhpYXkiw2d0JJZW1eaIkjzp0MNoHHJji5wFOT4p+zB+0Voer2vjxNR/bd1LSdDtPibq8Pg22Txrp9lGdN3RuWiQrl4vtT3YSQ53oFIJGCf0E/aG/ZY/Z6/av8MWfg39on4UaV4r07Tr37XY2+pI2bebYULo6MrLlWIIBweMg4GOv8O+EvC/hLw/Y+FPDHh6zsNM0yzitNOsLS3VIraCNQkcaKBhVVQAAOABXxmJ4YxlfM6uJhiXBS7Xv6PVaLofdV+JclnksKMcNetywhK6ioRUFbng9ZOdSyc7pWfNrLmXL8t/s/eGPB3xN1rQbjwR4xGvWGneI/7VutastTjvPtF0kjzSNNMmVLPI5LYwctxivrWmxxxxLtijVR6KMU6vbyXKf7Iw8qbqOblJybatvbzfbufI43F/XKily2SVrBXgf/AAVF8VfG/wAEfsAfFHxV+zm+oJ4vsvDu/TptJh33MEJmjF1LEOodLYzuGHzKV3LyBXvlHXrXp16TrUJU07cyaut1dbr0NMpx0MszWhjJU1UVKcZuEvhkoyT5ZeUrWfkz+YL/AIJXfFv4j/DT9snw5F4Q+L2o+EdN16VrTxdqNpq8dosmngGV/Mkm+QYZFIJ+bPA5OD+yfhv4i/DHxd4p0+0/4amPjPUYpJG0jTNQ8bWl80cpidWkiiiwxfymkXPOFZuO4+nfgd+xn+yz+zV4h17xX8CPgboPhjUPE0gbW7rTLUq1xh2cKNxIjTc7HYm1enHyjHpK2tqjBktowR0IQV8NR4NxscN7KWLaTveKTcf/AEpfPQ/VPFDxNyzjriWOY4TBezjGEYXly88mrtt2TWl+WOr0Sel7LjP2ePBLeAfhdbaPIJw91qF9qEiXIAZGurqW4K4wMAGTAB5xjOTXb0UV9vhaCwuGhRTuopL7lY/H6tR1aspvq2wooorczCiiigAooooA+Mv+C9/i/wCOfgz/AIJt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/AGYs82V3CSQAbfmIYjpnH9IGsaRpXiDSbrQde02C9sb62e3vbO6iEkU8TqVeN1bIZWUkEHggkVwP7PX7I/7Nn7KOg6h4Z/Z4+D2keFbLVbtbrUotPiYm4lVQil3kZmIA6DOBliACxz8rm/D+KzLMYYmnXcElbS916Wa3vrqvmfs/CvihlfD/AIa5hw1WwKqVMRJuM9OX3lFXnfXmp8t6dr622td/MvgTx18PfGXi+H+x/wBog+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv8AhkFFFFfQnnHmXxR/Y0/Za+NXxX0L45fFb4H6Drvi3w15X9ia5f2xaa28qQyxjggOEkJZQ4YAk4xmvSTZ2hOTax/98CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK+U/wDgp/4q8R+Hbj4Q2Wq67d6V8Pr74hAeO7+Fljt98dvJLpsV1KSPKt3vUhBJIVmCKTyA31ZWN8Q/h74I+LHgfVfhr8SfDFnrWg63ZPaarpd/EHiuYXGGVh+oIwQQCCCAa4sywk8dgalCMuVyVr/106PyPXyLH4fLM1p4ivDnguZNaXtKLjzRvpzRvzRvpzJH5x698ddN0P8Abr1XwXYftR3fhTRYfhtDJ4ntrHxLZ2MMerJfFbVGeQFjMbd7ktHn5VEbEDcufVfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/2cfgZ+zP4DX4ZfAf4Y6X4Z0JbyS6On6dCdrzyY3yMzEs7EKoyxJwqjoAB2ccEERzFCik9SqgV8hDg3FSwyo1cW+XrFJuPyvL9D2M04gy2ri08FQtCMVFSlZTlbeUkrpNvopOysuZ2u6PhDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV92lZWPkW7sK/J69+NGpaJ/wT18c/EP4p/FW+0v4oC61SbxLcX00MepWPi5Ll2t7VYGyEKSQW6QxBcfZ4kZQVG4/rDXmWrfsZ/sta7+0FbftVax8D9BuPiFZoi2/imS2JuFKxGJWIztZ1jO0OVLABQCNox8/wAQZNXziFJU6nJyu/8AwfVW09Xqj67hbO8oyqNWGPouacoTXKott0+f92+a1oVOf3mrtcsXyS2PkLRfjH8PPEfgjT7D4m/tuTak13pVuNf0fUfiNYNb3EjRKZoZETGULbgVBHHGa+qP2X/Bpttd174ku02dVsLKxj3AeW6QSXMm9eMnJuSCckfKPQ1699is/wDn0i/79ipAAOAK58Bw3WwmYQxVbEyqOKdk13Vt3Jnj4vNIYilOnCkoKTvptvfawUUUV9SeQFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRUGq2kuoaZc2ENy0LzwPGkydYyykBh7jOaAPnj9nf/gq7+xF+1L+0Jqf7Mvwb+J13feJbBb5rGS60K6trDW1spvJvDp13KghvRBIdsnlM23k8gE19HV+Kn/BK39m/wDaZsP2if2Qv2ePGP7N/jjwpefsk2XxIj+KHi7W/D8ttpF+2q3My2K6deN8l+LgSrK3lk7QDu6V+1dABRRRQAV4b+2z/wAFE/2YP+CfmleHNW/aS8RavZJ4q1P7DpEej+Hrm/YvvijLyGFGWGMPNCu9yoLSKBknFe5V+ff/AAcf+LdWl/YNi+Cng/4R+P8Axd4g8V+LtGvNNtvA/ga+1hYYdO1axurk3D2sbi3/AHQYpvx5hVgucHAB+gasGUMOhGRS1zXwd+Jui/Gb4X6H8U/Dmi63ptjrunpdWtj4k0WbTr+BG6LPbTqskL8co4BFdLQAUUUUAUPFXifQ/BPhfUvGfie/FrpmkWE17qN0yMwhgiQySPhQScKpOACeOBXh/wCyB/wUy/ZS/be8ceJPhh8Fde8QW3ibwrZwX2q+HfF3hK+0a9+wznEN5HDeRRtJA/GJAMfMvqM+1eOfFMHgbwTrHja60i/1CLR9KuL6Sw0q0ae6uVijaQxQxLzJIwXaqDlmIA61+cv/AARm+KOsftV/tl/Fj9tb9oz4N/E3wf8AFnxnoCabo/hrxR8MtT0nSvCvhKyuwLXT0vrqFIr29lklFxKVPchFCo1AH6X0UUUAFFFFAHzv+2b/AMFRf2TP2CdestD/AGi9W8U2aXFnFeX+q6N4J1DUbDR7WWfyI5766t4WitEaQFV8xgTtOBX0DpupWGs6db6vpd2k9rdQJNbTxnKyRsAysD3BBBr8yv8Ag4vsLj45/C6L9m/wP8Cv2g9e+JEVlb3/AMMpfh7ot3ceE9Yv5r6DNtrGwm0lSH7KjlL1QqrKTGTuav0k+HsXieDwBocHjW3tYtZTR7ZdXislAhS6ES+asYHAQPuAx2xQBsUUUUAFBIUFmIAA5JorxP8A4KN+EP2lviF+xH8Rfh/+yFFC/wAQte0BtO0PztUSxKrPIkVwyXDgrBKLdpikhB2vtODjFAC/sa/8FBf2X/2+YvG93+zD41uNdtfh/wCLJvDuv3r6dJDC15GMkwO4AmjI5Ei8EEEda9rr8yv+DfX4WftJfBP4t/tM+A/it+xL/wAKg8LyePdPl8PWq+IzfW8bQ6ZbWotLWT7NCL2FYokc3ifKzsybdykn9NaACiiigAr5z+JX/BUD9nX4Z/tVTfscXPhD4la74ys30oaqfCXw21LVbDTF1EkWsl1dW0TRWyMA5LyEACNyThTj6Mr8lv8Agqh4A+IWlft2v4//AGFPAn7TOl/tE694v8IQQ63oNrdx+ANW0W2Cic38sX+iSQxwS3SOtyfMWTOwbWyQD9aaKKKACiiigDkPj58evhL+zB8Hdf8Aj58dfGlr4e8J+GLA3es6td5KQx5CgAKCzszMqKqgszMAASRXP/spftcfCb9sj4eT/Ej4SWfiWztbS/NneWHi7wpeaNfQSeWkilre7jSTY0ciOrgFWDAg187/APBwT+zt8Yv2mP8AgmX4n8E/A7QdY1bW9K8R6HrsmkeHRu1C8tLLUIZ51tl/jnWNWkRP4mjAAJIFUf8Aghtb/tBx/Dr4sXPxEn+LDfDef4nTN8FB8cHum8SjRvs0Xmm4+2f6SIjc+b5Yl+bAbHy4oA+5aKKKAP/Z", "info": {"equation": "85-5=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "85-5=80", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "de98b6d1662df07549f971010ed7a60ef71f1b5d5b8978fdb53731b426f9b0c4"}
+{"episode": 86282, "episode_seed": 2721431361, "split": "train", "timestamp": "2025-10-28T03:51:08.927942", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2721431361, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 1, 6])</answer>", "action": "('move', [0, 0, 1, 6])", "reward": 0.0, "image": 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", "info": {"equation": "18/18=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "18/18=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "43c19a7173840266c7a6aed049b3cfb222cdbe6327955a7421a394741cec89f4"}
+{"episode": 86283, "episode_seed": 4109820614, "split": "train", "timestamp": "2025-10-28T03:51:09.017723", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4109820614, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 1, 2, 7])</answer>", "action": "('move', [6, 1, 2, 7])", "reward": 0.0, "image": 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", 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", 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18vfFj4T/AA21X/goV4X+MupeDLKfxVpNtpun6Zrkikz21tIuol405wAdzZOM/MRnBNcHEVF1aFC0mrVYbebt+tz6Dw54rwvCeMx1Wvh1VVbDVqSTto5pWbv9nS0utm/Q+oa+Ef8Ag40134j6J/wTR1aPwFJdpZ33ivTLXxU9qmcaazSHDnqqG4W1UnvuCnhjX3dXL/Grwv8ACTxp8JvEHhf482mkz+DbzS5U8SR67OsVn9kxl2ldiojUAbt+RtxnIxmvUzDDyxeBqUVLlcotX7f8DufPcH5xT4f4pwWZVKXtY0asJuHWVpJ2X97+Xzsfkz/wTJ8c+E/in+wj4Y+Gf7RP7Rct3ZHUJbC18Bax4wtorW5soblfstu9qSJJIy6gCNjhwAuCpwf0I/4JoWlppPwA1fw54Ytki8K6V4/1u18GJBCiQJp63JLJCU4aFLlrpEP91AOgFbHx7+FvwTv/ANia5+FnhPwto1x4En0LTdP03TtPYNZy6Y01ukaRuh+aMxEYZW5BznnNbn7GHhHwx4B/Zx0LwT4L0SDTdJ0q61K106wtVxHbwpqFyqouecADqck9ya+XyfK62W52oVKzqfuvklzJWWr0XQ+j4p4ow+e0cdWp0nTVfEuoqenLC/M+bf8AiO6i/dWl9XdJepV/Pt8M/iR8fW/4LyeKLfxf4g1O2vda+Jeo6d4ltZ2CfadMgnLWsLKeDGot7Nkx2jQjjr/QTXhP7Q3wA+DHhW71z9oLw78ONMtPGnibUNEstd8RwwYuby3ivbYRxu2cYARBwATsXOdox3cUZdUx2A54T5fZ80n5rlf49PRsfh/xjg+F8PmWGr4f2rxlF0YvT3JOS1d+n2tNeaMfVZP7CnjC+8QaZJpOm+MG1ex003lvep9tWYWM63bsLc7eI2QPgIfmC4z0FfRlcJ+zMiJ8C/Du1QM2jE4HU+Y9d3XfkeEng8thCU3NvW76X1t12PhMdWjWxMmo2tp93UK/Mb/g6N1z4k6f+yN4G0fw692nhrUPG5XxK0Cfu3kS3d7VJGHRSwlYDoWjB6qK/TmvEv2+fhl4B+MPwStPh18T/C1trWh6j4nsRe6bdlhHNsLuudpB4ZVPB7UZ/TdTJq6vb3W/u1/G1j6Xw+z7D8McaYHNK9L2kKVRNx0vZpq6vpzRvzRvbVLVbmN/wSd1T4gaz/wTf+Dt/wDE6KddWPgu3QC5hEbm0QsloxA7G2WEg9SCCeTXv+qPeR6ZcSaeu64WBzAuM5fadv64rk/2crS10/8AZ+8EafY26QwW/hPT4oIY1wsaLboFUAdAAAAPauzruwcXDB043vaK1+R4Wc46GY51iMZGCgqlSc1FbRUpN8q8lex/PL/wSV+MfxS0n9t34kXvxf8Ajpq3gy513T7668bX82tQabNc6ql6pCSvOPvh5bn5B3LdhX6afsb+HPhZ4Y/bN0fWPgNe2Wot4m8E67d+O9b0+7ivX1bF/bPBeXlypJkmN1LdqrZ5zMoGI8J6J+yD8Ifhj4G/ad+I3jHwl4IsLDVfFV5ql34jv4YyZL+ddXmCu5YnoGbAGB8x45pf2S/hJ8M/AX7WPxE8ceDfBVjp2r+KrrWJ/EWoW6HzL+SPV2VGckn7oZsAYHJ4zX59leWVqOJwtaVaTTqTSj0XLzXe/wBq2unU/V+NuPsBxPnGNxtHDujGdCnDkVrSfJGN52a0hdunpJ+5DSO6+oaivorWeymhvlUwvEyzB+hUjnPtipa4345+MLbwn4DuUkmKS3yNBGwGdq4zIx9gmfzFfoGOxNPB4OpXqbRTfr5fPY/GaFKVatGEd2zwz9nvWfC2u/tgT+HZ1eR/D3hO4l0aWWKPY1xNLD52Dv3LMlubfgLjZdP83avqWvkfwX8Odf8AAWn/AA9+NMduYdV1jXP+Eg1KKaVNwiugYpLckxDBSxliUDg77cAt/FX1wCCMg14XCt6OBlhZx5Z03qv8S5k/xt8jvzX366qxd4yWny0f9eZwP7VerfEHQP2YviLrnwmFwfFNn4H1Wfw4LOLfL9uW0laDYv8AE3mBcDucV+IH/BC74sah4dHxI0DxX+0hqHgrRZ2sruNYvFFvp32y9cyrI5aYFpG8tVzjpxnkiv39PTivl3/gmr8H/hf8JtB8SaT8N/A1ho9vqcGl6lqEVpGf393LFN5kzFiSWbaPYY4ArLPsBVx2Z4aFOq6banqulkn3W+zPtuGeMMHk/Ama5PUwyqTxEqLU3b3eSTbvfX/Dbbmlc5r/AIJ2+G/h94A+Pvi3wX8ALezi8Gy+BdH1DVYtHkSWzbU3muEhuTKpO+4mtUBdiSZFjidiSQT9j18vf8E1/hN8NfhJZeKrL4a+DLLRotYttL1PVFs1I+03koufMmYsSSx2j2GOAK+oa7uGYOnklJN3+L/0pny/FWOhmGdTqxcpe7Bc0vik1FJylq9X6vSyu9zzn4sfDX9mDxd8W/AHiv4y6N4XuPGei3t0/wAOZdZuo0vFnMamf7IjMDMwVUYgBtu0NwQDXocdvBEd0UCKfVVAr8OP+Dhn4kfHnwj/AMFPfh7qeg+I9U0mHw/4e0288BXtu4iW3uXu5DNNEx+Xf5iIGLdkQN8uM/ov+zh8W7XxH4+tvD/gn9pS58bztdRS3VlL4rt9RaCIEqzbYQCqEMck8ZA6Yrz6nFGFw2ZVMNKi+bmSuktdld/pvpY+r4k4GxeVcMZRmMsWqkcTSnNQbf7u0r8sdXo+a729/n9T6zooor64/Mj56/4Kwa58SfDf/BOT4v6z8JXu01uLwfMEksY90sdszot069xttjM24cqASOQK+Sv+DW7VPH91+yJ470zW4p/+EdtfHedAkkhAQzPaxG5VG6sBiEkdAWPqa/RT41QQ3Xwb8W21xGHjk8M36ujdGBt5ARXlf/BPL4W/Dz4NfB3WPh98LPCNpoei2fih3ttOsg2xGksrN3OWJJJZiSST1r5/E0W+JKFTmfwT06aNf/Jfgj9Ey7ivC4Xwyx3D8sOnUq16dRVNNElqu91y2j0tOe3X3qvwa/4KDfFT46+FP+DgKHWb/wAfar4a/s/XdG03RdWju0tPsmgzW0Sz+XJJ8ixMs12WY5G5nPUcfvLXy78W/hJ8NNY/4KEeGPjHq3gqxuPFGlWum6fputyoTNb20i6iXjXnaASzc4z8xGcE1nxNh54nCUoxm4v2kNV5u1+m17/Irw24swnCOPxtbEYdVlWw1Wkk7aOSTTd/su1pdbN+jy/2b7jwf8VPiVZXnhv40S+N59Ov4bm+1JvEUGoy26RLK0UTtEMRx7mcgEAks2DX1tTY4YYc+VEq567VxTq7snyuWV0JwnUdRylzNvfZLu+3c+ExmKWKmmo8qStb+rBXxL/wcIa58SdD/wCCYvi1vh492kN3q+m2viSSzTJXTXnAkDEcqjSeSjEdQ5B4Y19tV5p+2H4Z0Dxp+zT4s8IeK9LjvtM1SxjtdQspidk8Mk0auhwQcFSRwQea3zSm6uW1op2vGX5M9bhLNaWRcUYLMalP2kaNWE3HuoyTt69vOx8y/wDBu1qnxA1L/gmN4bi8bxTraWniLVYPDLTwhN+nifdlT/GvntcgMf7pHQCvuWvKv2KvBvhb4efs6aP4F8D6Fb6Zo+k6hqdrpun2qkR28K6hcBUXJJ49SST1JJr1WpyeLhlVBXv7kfyRXGGbUs94qx2Y0qfs41as5qPZOTettL9/O4V5T4x8EnWv2j9F1Y6e8YgjhumuYgf3ghWcAMTkYBlI4wfmHrXq1FaY7BrGxhFytyyjL15Xe3zPDoVnQcna90194V8I/wDBxprvxH0T/gmjq0fgKS7SzvvFemWvip7VM401mkOHPVUNwtqpPfcFPDGvu6sP4lfDbwJ8YfAeq/DD4neF7XWtA1yza11XS71CYriJuqnGCOxBBBBAIIIp5hhpYzBVKEXZyTV/U9vhHOqPDnE+DzStT9pGhUhNx7qLTdr6X6q/Wx+Tv/BKH4xW2u/sX+D/AA58W/2o7uKW01Kay0rwhqHjC1iha0inAtYfszfvCu4YVc5OFA4wK/VH4GeHX8L/AAu03S5FlDO9xdOswwwM9xJMRjAwB5nHtitXwR8P/BXw28H6V4A8CeGLPS9G0SwhstJ060hCx21vEgSONR6BQB61sV4+TZDWyyv7arXdR8vLZ9FdPS7emmmx0cW8RUOI85xWMo0FSjVqzqJK2nM20nZJX118wrjfj3p39pfDO8i+wC4EU9vPtIJKGOVXDjHdSoP4V2VFe3jMP9bwlShe3Mmr9rqx8zRqexrRna9mn9xzfwg8NHwh8MtF8OnzM29iu4TfeBbLkHgdC2K6SiitaNNUaMaa+ykvuJnLnm5dwrhP2idMOpfD0MNOFwbbUYZ1+UkxkEgOMd+cfQmu7orHHYX67g6lC9uZNX7XLoVfYVo1LXs7mJ8NfDw8JfDvQvCwMh/s7SLa2zLjd8karzgDnitPVnvY9KuZNMTdcrbubdcdX2naPzxViit6cFTpqC6KxDlefNY/LvwL8crXTNV+FFnrP7Teo+GL3VPh7qd541nbxDa2FxPfi4tBJ9paUEpKLxr1PLGPmSUY/dkD7G/Y00zw9rl3c/ELwv4sOu2X2CS2TWI9QjukvZZbjzZpGmT5ZJPMQliDgFjwOK9L+Hf7PPwS+E3i3xV47+HHwz0rR9Y8b6kuoeK9Qs4MSancjdiWQknnLueMDLserEnskRI12RoFA7AYr5PLOGMRgsTTrVcQ5KDbUdba3V9Xvrd6b/efVcQ59l+ZV5fU6HJFrd2Tu5OTuo6Wi3yR11jGLsvhS1z/AI++HuneP47GO/unh+xXQlBRAd6/xJz0zgc+1dBRX1OIw9HFUXSqxvF7r8T5anUnSmpwdmjn/H/w+07x/bWdtfXTw/ZLoShkUHcvRk56ZHftXQAADAHAooohh6NOtOrGNpStd97bfcEqk5QUG9Ft8zg/2pdU8caH+zR8Qda+GbXa+IrTwVqk2htYQ+ZOt2trIYjGv8Thwu0dzivhDQfjZ4D0f4z/APCMeHP2srjwz4di+GOiTxLYeLrOzjuJXluPJkLyZaSRrcKxGeFKN/GCf0rrjPg1+zv8EP2etC1Dwz8FPhjpPhuw1XWJtV1C10232pPeS7RJKc55IVRgcAKAAAMV4ec5LiMzxNKrSrOnyprS99bbWa+ep9HlecZdgsor4etR56kneDsra2vzN6+6o+5ZPWUr268d+x5oGiweGr3xd4cv1utO1G2s7fT7mGdZYZoIVkKSI65Dg+afmBIOOO9eyUiqqKFRQAOgApa9TLcEsuwMMPzc3L12vrc8DE1/rNeVS1rnHePv2ffgr8UvH/hX4p/EP4baZq/iHwRcTT+FNWvId0umyShRI0ZzjnYp5BwVBGCM110dvBEd0UCKfVVAp9FdihCLbS1e/n6iqYjEVqcKdSbcYK0U22opttpLom23ZdW3uwoooqjEzfGVgNV8I6rpbWa3AudNniNu2cSho2G0455zj8a439mjw03h/wAC3d06SodT1Z7rZKMbQIYYBgYzjEIPPcmvRKK4p4NTx8MVzfDGUberTv8AgbxruOHlStu07+lwr86/2sfi3qvhD4k/EW78Q/Fy88M+IIPjJ4bsNHuDfwWstrpckVhsEJlyqwvbtqLmTH3hOc5Q7f0UrjdV/Z7+CmufGrTv2jNX+Gul3HjjSdIk0vTfEssGbm3s3LFolOcYO9+cZAdgDhiDx53llbNcPCnTqcjUlK/pf8VuvNHt8OZrl+VV6s8XS9onGyVk/eUoySd/sytyytrZ6J7Pxn9k74nxeMPGKaR4O+PM/jm2glkfUZZfEcOom2R4zgM0OAgJQFQw65x1NfTFNjhhhz5USrnrtXFOrXKcvq5bh5U6lV1G3e79Erbvt3PHxeIhiailGCikrWX9IK5n4yaYNY+GOsae1gLoPbBjCQTnaytnjnIxke4rpqK7sRR+sYedK9uZNX7XVjCnP2dSM+zTOQ+BHh4+Gvhfp9g/mBppbm7YSjkGe4kmx0HHz8e1dfRRSwtBYbDQop35Ulf0Vh1Z+1qyn3bf3hRRRW5mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeRj9uL9m8/thH9hMeNJ/wDhYw8Pf2udO/syf7N5e3zPI+07fK+0+T+/8jdv8r58bea9cr860+EHxlH/AAXHYn4S+Jf7B/4Tk/ET/hOf7Lf+yP7MPgVfDv2P7V9z7V9uB/0fO7y/3mMc0AfopRRRQBwP7T/7Svwp/ZA+BPiH9o3426le2nhjwxarcapNp2my3k4VpFjUJDErO5LOo4GAMkkAEjsvD2u6d4o8P2PibSJGe01GziurV3QqWjkQOpIPIOCOK8M/4Kp6/NoH/BOL41rZeEfEWvXmqfDjVdH03SPCugXGp31zd31u9nAqW9urSMvmzoXYAhEDOcKpNegfsp+L7Xx7+zR4D8W2Whazpkd54TsSNP8AEOkTWF9blYFUpNbzKskLgqcqwBFAHf0UUUAeSfCr9t39n34y/tH+Nf2UvBevap/wmngO2W51ix1LQLq0huIDKYHmtJpo1ju445h5LvEWVZPlJzXrdfF37MHxLvPjZ/wVy+NfiXx38MfHeg3fgbwnB4M8AT6r4IvbXSL7SIrmK51C/j1GSMW9xLcXs0aRxI5IhsN+DvbH2jQAV5Z+19+2N8E/2HfhOfjV8e7rWodBS9FvNNoXh261OWEeXJK80kdsjtHDHFFJJJKwCIqEk9M+p18g/wDBcWGPxD/wT38YfC+H4dfFTxHqXi+0m0zw3b/CfT57m5TVzbyyWK3qwnP2CSdI4pvMDQlZNsg2sTQB9baVqmna5pdtrekXaXFpeW6T2s8ZyskbqGVh7EEH8asVi/DaDxJa/DrQLXxja28Grx6LarqsNogWKO5EKiVUC8BQ+4ADjGK2qACvOvhD+1R8GPjp8VviR8GPhr4hmvtc+FGtWmleM0No6RW13cWq3KRpIRtlIjYBtudrAqeRXotfnl/wRX+Fn7Xfwm/aR/aS0/8Aal/ZyHhC51rWNE1SXxHD4iF/B4h1CaO7lubiJlgjUhvNViqs/k7lhJJTcQD9DaKKKAPJv2jP2zPhN+zF458CfDjx5oXi/U9Y+ImozWnh6z8JeEbvVmTyXt1mnuPsyN9ngQ3MO6V8IobJIxXrNfC//BaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/V/Dl9ZWUjNgLNLbvGhJ7YZhzQByn7Kf7XnwT/bQ+H138UfgNqmqXuh2mry2CXup6Fc2Iuyio63FuLhEM9tIjo8c6ZSRWyCcHHp1fAv/BvN4I+P/wAN/wBkTWvAfxk0v4kWGlaLrWnaf4X074piYajavBoenQ6pHAJvmWwXU0vVtgPk8sfu/k2199UAFeKfHP8Ab3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/9qDwj4r+K37dn7OngqDw3qM/hjwhd+IvHWv6iLKQ2cV5a6eNM0+F5cbBKz6tPKiE7iLZmAwpoA+kKKKKAOa+Mnxc8A/AL4T+I/jb8VNcGm+G/Cei3Gq65fmJn8i1gjMkjBVBZjtU4UAknAHJrC/Zd/af+E37YPwbsPjn8Fr/UJtFvru6tGh1jSprC8tLq2ne3uLe4t51WSGWOWN1ZGAIxXI/8FL/DfxC8Y/8ABPf40eE/hR4SbXvEWp/DbV7XS9GjtRPJeSPaupijjbh5CpbYvd9tcB/wRd8Ja74L/YZs9Hv/AAX4s0LSZPHPia68I23xAspIPEE+jTaxdS2dxqSy/vTdyRuHdpf3jZUtyaAPq+iiigDyNf25P2b3/bDb9hRfGdx/wsVNA/tZtP8A7Ln+y7Ngl+z/AGrb5P2nySJ/I3b/ACjvxt5r1yvzv8Yfs3/EbUP+C/nhX4m+A5vHX/CLWlnceLvHNvf+DBFoEd4PDcuhW09tq2/9/NIskUTWQUGP7PLKThkr9EKACvNvjP8AtY/Bn4CfFL4c/Bv4i6tfw698VNcn0nwhb2mlTTxy3EMPnP5sqKUgULgAuRuJwM849Jr5B/4KnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df/BCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP/9k=", "info": {"equation": "13+18*6=121", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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18vfFj4T/AA21X/goV4X+MupeDLKfxVpNtpun6Zrkikz21tIuol405wAdzZOM/MRnBNcHEVF1aFC0mrVYbebt+tz6Dw54rwvCeMx1Wvh1VVbDVqSTto5pWbv9nS0utm/Q+oa+Ef8Ag40134j6J/wTR1aPwFJdpZ33ivTLXxU9qmcaazSHDnqqG4W1UnvuCnhjX3dXL/Grwv8ACTxp8JvEHhf482mkz+DbzS5U8SR67OsVn9kxl2ldiojUAbt+RtxnIxmvUzDDyxeBqUVLlcotX7f8DufPcH5xT4f4pwWZVKXtY0asJuHWVpJ2X97+Xzsfkz/wTJ8c+E/in+wj4Y+Gf7RP7Rct3ZHUJbC18Bax4wtorW5soblfstu9qSJJIy6gCNjhwAuCpwf0I/4JoWlppPwA1fw54Ytki8K6V4/1u18GJBCiQJp63JLJCU4aFLlrpEP91AOgFbHx7+FvwTv/ANia5+FnhPwto1x4En0LTdP03TtPYNZy6Y01ukaRuh+aMxEYZW5BznnNbn7GHhHwx4B/Zx0LwT4L0SDTdJ0q61K106wtVxHbwpqFyqouecADqck9ya+XyfK62W52oVKzqfuvklzJWWr0XQ+j4p4ow+e0cdWp0nTVfEuoqenLC/M+bf8AiO6i/dWl9XdJepV/Pt8M/iR8fW/4LyeKLfxf4g1O2vda+Jeo6d4ltZ2CfadMgnLWsLKeDGot7Nkx2jQjjr/QTXhP7Q3wA+DHhW71z9oLw78ONMtPGnibUNEstd8RwwYuby3ivbYRxu2cYARBwATsXOdox3cUZdUx2A54T5fZ80n5rlf49PRsfh/xjg+F8PmWGr4f2rxlF0YvT3JOS1d+n2tNeaMfVZP7CnjC+8QaZJpOm+MG1ex003lvep9tWYWM63bsLc7eI2QPgIfmC4z0FfRlcJ+zMiJ8C/Du1QM2jE4HU+Y9d3XfkeEng8thCU3NvW76X1t12PhMdWjWxMmo2tp93UK/Mb/g6N1z4k6f+yN4G0fw692nhrUPG5XxK0Cfu3kS3d7VJGHRSwlYDoWjB6qK/TmvEv2+fhl4B+MPwStPh18T/C1trWh6j4nsRe6bdlhHNsLuudpB4ZVPB7UZ/TdTJq6vb3W/u1/G1j6Xw+z7D8McaYHNK9L2kKVRNx0vZpq6vpzRvzRvbVLVbmN/wSd1T4gaz/wTf+Dt/wDE6KddWPgu3QC5hEbm0QsloxA7G2WEg9SCCeTXv+qPeR6ZcSaeu64WBzAuM5fadv64rk/2crS10/8AZ+8EafY26QwW/hPT4oIY1wsaLboFUAdAAAAPauzruwcXDB043vaK1+R4Wc46GY51iMZGCgqlSc1FbRUpN8q8lex/PL/wSV+MfxS0n9t34kXvxf8Ajpq3gy513T7668bX82tQabNc6ql6pCSvOPvh5bn5B3LdhX6afsb+HPhZ4Y/bN0fWPgNe2Wot4m8E67d+O9b0+7ivX1bF/bPBeXlypJkmN1LdqrZ5zMoGI8J6J+yD8Ifhj4G/ad+I3jHwl4IsLDVfFV5ql34jv4YyZL+ddXmCu5YnoGbAGB8x45pf2S/hJ8M/AX7WPxE8ceDfBVjp2r+KrrWJ/EWoW6HzL+SPV2VGckn7oZsAYHJ4zX59leWVqOJwtaVaTTqTSj0XLzXe/wBq2unU/V+NuPsBxPnGNxtHDujGdCnDkVrSfJGN52a0hdunpJ+5DSO6+oaivorWeymhvlUwvEyzB+hUjnPtipa4345+MLbwn4DuUkmKS3yNBGwGdq4zIx9gmfzFfoGOxNPB4OpXqbRTfr5fPY/GaFKVatGEd2zwz9nvWfC2u/tgT+HZ1eR/D3hO4l0aWWKPY1xNLD52Dv3LMlubfgLjZdP83avqWvkfwX8Odf8AAWn/AA9+NMduYdV1jXP+Eg1KKaVNwiugYpLckxDBSxliUDg77cAt/FX1wCCMg14XCt6OBlhZx5Z03qv8S5k/xt8jvzX366qxd4yWny0f9eZwP7VerfEHQP2YviLrnwmFwfFNn4H1Wfw4LOLfL9uW0laDYv8AE3mBcDucV+IH/BC74sah4dHxI0DxX+0hqHgrRZ2sruNYvFFvp32y9cyrI5aYFpG8tVzjpxnkiv39PTivl3/gmr8H/hf8JtB8SaT8N/A1ho9vqcGl6lqEVpGf393LFN5kzFiSWbaPYY4ArLPsBVx2Z4aFOq6banqulkn3W+zPtuGeMMHk/Ama5PUwyqTxEqLU3b3eSTbvfX/Dbbmlc5r/AIJ2+G/h94A+Pvi3wX8ALezi8Gy+BdH1DVYtHkSWzbU3muEhuTKpO+4mtUBdiSZFjidiSQT9j18vf8E1/hN8NfhJZeKrL4a+DLLRotYttL1PVFs1I+03koufMmYsSSx2j2GOAK+oa7uGYOnklJN3+L/0pny/FWOhmGdTqxcpe7Bc0vik1FJylq9X6vSyu9zzn4sfDX9mDxd8W/AHiv4y6N4XuPGei3t0/wAOZdZuo0vFnMamf7IjMDMwVUYgBtu0NwQDXocdvBEd0UCKfVVAr8OP+Dhn4kfHnwj/AMFPfh7qeg+I9U0mHw/4e0288BXtu4iW3uXu5DNNEx+Xf5iIGLdkQN8uM/ov+zh8W7XxH4+tvD/gn9pS58bztdRS3VlL4rt9RaCIEqzbYQCqEMck8ZA6Yrz6nFGFw2ZVMNKi+bmSuktdld/pvpY+r4k4GxeVcMZRmMsWqkcTSnNQbf7u0r8sdXo+a729/n9T6zooor64/Mj56/4Kwa58SfDf/BOT4v6z8JXu01uLwfMEksY90sdszot069xttjM24cqASOQK+Sv+DW7VPH91+yJ470zW4p/+EdtfHedAkkhAQzPaxG5VG6sBiEkdAWPqa/RT41QQ3Xwb8W21xGHjk8M36ujdGBt5ARXlf/BPL4W/Dz4NfB3WPh98LPCNpoei2fih3ttOsg2xGksrN3OWJJJZiSST1r5/E0W+JKFTmfwT06aNf/Jfgj9Ey7ivC4Xwyx3D8sOnUq16dRVNNElqu91y2j0tOe3X3qvwa/4KDfFT46+FP+DgKHWb/wAfar4a/s/XdG03RdWju0tPsmgzW0Sz+XJJ8ixMs12WY5G5nPUcfvLXy78W/hJ8NNY/4KEeGPjHq3gqxuPFGlWum6fputyoTNb20i6iXjXnaASzc4z8xGcE1nxNh54nCUoxm4v2kNV5u1+m17/Irw24swnCOPxtbEYdVlWw1Wkk7aOSTTd/su1pdbN+jy/2b7jwf8VPiVZXnhv40S+N59Ov4bm+1JvEUGoy26RLK0UTtEMRx7mcgEAks2DX1tTY4YYc+VEq567VxTq7snyuWV0JwnUdRylzNvfZLu+3c+ExmKWKmmo8qStb+rBXxL/wcIa58SdD/wCCYvi1vh492kN3q+m2viSSzTJXTXnAkDEcqjSeSjEdQ5B4Y19tV5p+2H4Z0Dxp+zT4s8IeK9LjvtM1SxjtdQspidk8Mk0auhwQcFSRwQea3zSm6uW1op2vGX5M9bhLNaWRcUYLMalP2kaNWE3HuoyTt69vOx8y/wDBu1qnxA1L/gmN4bi8bxTraWniLVYPDLTwhN+nifdlT/GvntcgMf7pHQCvuWvKv2KvBvhb4efs6aP4F8D6Fb6Zo+k6hqdrpun2qkR28K6hcBUXJJ49SST1JJr1WpyeLhlVBXv7kfyRXGGbUs94qx2Y0qfs41as5qPZOTettL9/O4V5T4x8EnWv2j9F1Y6e8YgjhumuYgf3ghWcAMTkYBlI4wfmHrXq1FaY7BrGxhFytyyjL15Xe3zPDoVnQcna90194V8I/wDBxprvxH0T/gmjq0fgKS7SzvvFemWvip7VM401mkOHPVUNwtqpPfcFPDGvu6sP4lfDbwJ8YfAeq/DD4neF7XWtA1yza11XS71CYriJuqnGCOxBBBBAIIIp5hhpYzBVKEXZyTV/U9vhHOqPDnE+DzStT9pGhUhNx7qLTdr6X6q/Wx+Tv/BKH4xW2u/sX+D/AA58W/2o7uKW01Kay0rwhqHjC1iha0inAtYfszfvCu4YVc5OFA4wK/VH4GeHX8L/AAu03S5FlDO9xdOswwwM9xJMRjAwB5nHtitXwR8P/BXw28H6V4A8CeGLPS9G0SwhstJ060hCx21vEgSONR6BQB61sV4+TZDWyyv7arXdR8vLZ9FdPS7emmmx0cW8RUOI85xWMo0FSjVqzqJK2nM20nZJX118wrjfj3p39pfDO8i+wC4EU9vPtIJKGOVXDjHdSoP4V2VFe3jMP9bwlShe3Mmr9rqx8zRqexrRna9mn9xzfwg8NHwh8MtF8OnzM29iu4TfeBbLkHgdC2K6SiitaNNUaMaa+ykvuJnLnm5dwrhP2idMOpfD0MNOFwbbUYZ1+UkxkEgOMd+cfQmu7orHHYX67g6lC9uZNX7XLoVfYVo1LXs7mJ8NfDw8JfDvQvCwMh/s7SLa2zLjd8karzgDnitPVnvY9KuZNMTdcrbubdcdX2naPzxViit6cFTpqC6KxDlefNY/LvwL8crXTNV+FFnrP7Teo+GL3VPh7qd541nbxDa2FxPfi4tBJ9paUEpKLxr1PLGPmSUY/dkD7G/Y00zw9rl3c/ELwv4sOu2X2CS2TWI9QjukvZZbjzZpGmT5ZJPMQliDgFjwOK9L+Hf7PPwS+E3i3xV47+HHwz0rR9Y8b6kuoeK9Qs4MSancjdiWQknnLueMDLserEnskRI12RoFA7AYr5PLOGMRgsTTrVcQ5KDbUdba3V9Xvrd6b/efVcQ59l+ZV5fU6HJFrd2Tu5OTuo6Wi3yR11jGLsvhS1z/AI++HuneP47GO/unh+xXQlBRAd6/xJz0zgc+1dBRX1OIw9HFUXSqxvF7r8T5anUnSmpwdmjn/H/w+07x/bWdtfXTw/ZLoShkUHcvRk56ZHftXQAADAHAooohh6NOtOrGNpStd97bfcEqk5QUG9Ft8zg/2pdU8caH+zR8Qda+GbXa+IrTwVqk2htYQ+ZOt2trIYjGv8Thwu0dzivhDQfjZ4D0f4z/APCMeHP2srjwz4di+GOiTxLYeLrOzjuJXluPJkLyZaSRrcKxGeFKN/GCf0rrjPg1+zv8EP2etC1Dwz8FPhjpPhuw1XWJtV1C10232pPeS7RJKc55IVRgcAKAAAMV4ec5LiMzxNKrSrOnyprS99bbWa+ep9HlecZdgsor4etR56kneDsra2vzN6+6o+5ZPWUr268d+x5oGiweGr3xd4cv1utO1G2s7fT7mGdZYZoIVkKSI65Dg+afmBIOOO9eyUiqqKFRQAOgApa9TLcEsuwMMPzc3L12vrc8DE1/rNeVS1rnHePv2ffgr8UvH/hX4p/EP4baZq/iHwRcTT+FNWvId0umyShRI0ZzjnYp5BwVBGCM110dvBEd0UCKfVVAp9FdihCLbS1e/n6iqYjEVqcKdSbcYK0U22opttpLom23ZdW3uwoooqjEzfGVgNV8I6rpbWa3AudNniNu2cSho2G0455zj8a439mjw03h/wAC3d06SodT1Z7rZKMbQIYYBgYzjEIPPcmvRKK4p4NTx8MVzfDGUberTv8AgbxruOHlStu07+lwr86/2sfi3qvhD4k/EW78Q/Fy88M+IIPjJ4bsNHuDfwWstrpckVhsEJlyqwvbtqLmTH3hOc5Q7f0UrjdV/Z7+CmufGrTv2jNX+Gul3HjjSdIk0vTfEssGbm3s3LFolOcYO9+cZAdgDhiDx53llbNcPCnTqcjUlK/pf8VuvNHt8OZrl+VV6s8XS9onGyVk/eUoySd/sytyytrZ6J7Pxn9k74nxeMPGKaR4O+PM/jm2glkfUZZfEcOom2R4zgM0OAgJQFQw65x1NfTFNjhhhz5USrnrtXFOrXKcvq5bh5U6lV1G3e79Erbvt3PHxeIhiailGCikrWX9IK5n4yaYNY+GOsae1gLoPbBjCQTnaytnjnIxke4rpqK7sRR+sYedK9uZNX7XVjCnP2dSM+zTOQ+BHh4+Gvhfp9g/mBppbm7YSjkGe4kmx0HHz8e1dfRRSwtBYbDQop35Ulf0Vh1Z+1qyn3bf3hRRRW5mFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFeRj9uL9m8/thH9hMeNJ/wDhYw8Pf2udO/syf7N5e3zPI+07fK+0+T+/8jdv8r58bea9cr860+EHxlH/AAXHYn4S+Jf7B/4Tk/ET/hOf7Lf+yP7MPgVfDv2P7V9z7V9uB/0fO7y/3mMc0AfopRRRQBwP7T/7Svwp/ZA+BPiH9o3426le2nhjwxarcapNp2my3k4VpFjUJDErO5LOo4GAMkkAEjsvD2u6d4o8P2PibSJGe01GziurV3QqWjkQOpIPIOCOK8M/4Kp6/NoH/BOL41rZeEfEWvXmqfDjVdH03SPCugXGp31zd31u9nAqW9urSMvmzoXYAhEDOcKpNegfsp+L7Xx7+zR4D8W2Whazpkd54TsSNP8AEOkTWF9blYFUpNbzKskLgqcqwBFAHf0UUUAeSfCr9t39n34y/tH+Nf2UvBevap/wmngO2W51ix1LQLq0huIDKYHmtJpo1ju445h5LvEWVZPlJzXrdfF37MHxLvPjZ/wVy+NfiXx38MfHeg3fgbwnB4M8AT6r4IvbXSL7SIrmK51C/j1GSMW9xLcXs0aRxI5IhsN+DvbH2jQAV5Z+19+2N8E/2HfhOfjV8e7rWodBS9FvNNoXh261OWEeXJK80kdsjtHDHFFJJJKwCIqEk9M+p18g/wDBcWGPxD/wT38YfC+H4dfFTxHqXi+0m0zw3b/CfT57m5TVzbyyWK3qwnP2CSdI4pvMDQlZNsg2sTQB9baVqmna5pdtrekXaXFpeW6T2s8ZyskbqGVh7EEH8asVi/DaDxJa/DrQLXxja28Grx6LarqsNogWKO5EKiVUC8BQ+4ADjGK2qACvOvhD+1R8GPjp8VviR8GPhr4hmvtc+FGtWmleM0No6RW13cWq3KRpIRtlIjYBtudrAqeRXotfnl/wRX+Fn7Xfwm/aR/aS0/8Aal/ZyHhC51rWNE1SXxHD4iF/B4h1CaO7lubiJlgjUhvNViqs/k7lhJJTcQD9DaKKKAPJv2jP2zPhN+zF458CfDjx5oXi/U9Y+ImozWnh6z8JeEbvVmTyXt1mnuPsyN9ngQ3MO6V8IobJIxXrNfC//BaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/V/Dl9ZWUjNgLNLbvGhJ7YZhzQByn7Kf7XnwT/bQ+H138UfgNqmqXuh2mry2CXup6Fc2Iuyio63FuLhEM9tIjo8c6ZSRWyCcHHp1fAv/BvN4I+P/wAN/wBkTWvAfxk0v4kWGlaLrWnaf4X074piYajavBoenQ6pHAJvmWwXU0vVtgPk8sfu/k2199UAFeKfHP8Ab3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/9qDwj4r+K37dn7OngqDw3qM/hjwhd+IvHWv6iLKQ2cV5a6eNM0+F5cbBKz6tPKiE7iLZmAwpoA+kKKKKAOa+Mnxc8A/AL4T+I/jb8VNcGm+G/Cei3Gq65fmJn8i1gjMkjBVBZjtU4UAknAHJrC/Zd/af+E37YPwbsPjn8Fr/UJtFvru6tGh1jSprC8tLq2ne3uLe4t51WSGWOWN1ZGAIxXI/8FL/DfxC8Y/8ABPf40eE/hR4SbXvEWp/DbV7XS9GjtRPJeSPaupijjbh5CpbYvd9tcB/wRd8Ja74L/YZs9Hv/AAX4s0LSZPHPia68I23xAspIPEE+jTaxdS2dxqSy/vTdyRuHdpf3jZUtyaAPq+iiigDyNf25P2b3/bDb9hRfGdx/wsVNA/tZtP8A7Ln+y7Ngl+z/AGrb5P2nySJ/I3b/ACjvxt5r1yvzv8Yfs3/EbUP+C/nhX4m+A5vHX/CLWlnceLvHNvf+DBFoEd4PDcuhW09tq2/9/NIskUTWQUGP7PLKThkr9EKACvNvjP8AtY/Bn4CfFL4c/Bv4i6tfw698VNcn0nwhb2mlTTxy3EMPnP5sqKUgULgAuRuJwM849Jr5B/4KnfE1fA3xF/Zns1+GnjrxB5Xx5tNXvp/B/gq91aLT7OCwvLWSW5e2jcW6+bfwY3kblEjDIjbAB7H+y1+3F+zh+2VfeM9O+AHjSfVpfAfiBtI14XGmT2wMgLqs8BlVRcW0jRSqk6ZRzDIATtNet1+df/BCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP/9k=", 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", 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", "info": {"equation": "13+18*6=121", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "d77222b8564def43a6695500c9ab30b570dde30322c73cb543c63d4672dcb525"}
+{"episode": 86284, "episode_seed": 4141348408, "split": "train", "timestamp": "2025-10-28T03:51:09.076221", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4141348408, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 5, 1, 0])</answer>", "action": "('move', [3, 5, 1, 0])", "reward": 0.0, "image": 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Qe8/YoOseBJ/EHwkmMb+HzqMureE9siKbKOdhJc2XlhFwq3Dyyocv8k23K+WAfh+GpvLsdyYiCh9YXNF/N+79z29O57mZpYnD3pyv7N2f+f8AXme/0UUV+hnzp8Zf8F7/ABd8cvBn/BNvxXqHwNl1GF7m/tbTxVdaXFulh0aQutySR8yIT5aOw6I7ZwpYj8f/APgi58U/F3w//anuNDs/jPeeCvDOr6HO3ie+tdYt7BZRCjG2VpZgQD5zjCrydx7Zx/SHrel6Nrei3mi+IrC2utPvLWSC/tbyNXhmhdSro6twylSQQeCCc15J+xv8Hv2G/hd4K1aD9iDR/BC6He6oG1m58G6pFfxyXSxrhJJkkkO5UZSELfKHyAN5J+UzjIK+Y5nTr06/JZW63X+HVb311P2vhPxLwOQ+GGY8PVMv9rOtK6qWXKuZJfvG03zQ5b099e1rv5S17wx+yR8e/EA1L4s/FXQvijeabo91HbReMPF1rqiaZZsAbqSKIMEgBATfPtDAInzrtFe9/wDBJe+8SXX7HVjY38t5N4d03xJq1j8O7q+t1jefw3DdOmnOMY3x+SAEc/ejVDkghjjf8FCv2d/gh+0D8Wfh14d+NHwz03xFY2Gh67c2dtfBwsUpuNKUuNjKT8pIwcjnpXsX7GFpa2H7KfgGwsbaOCCDw1bxQQQoFSNFXCqqjhQAAABwAK4MhwNTB8R4inOq5uMVdvrez11e2y1Pj8xzujX4QpYRc0pSnfllbkpKPPpT1bvPmvL3YJWtaV7r06iiivuj4Q8S+OnwN/YG8dftBeDvG37QfhvwDcfEm1aFfBb+INQhi1GcxzF4lhhaRTcbZSSo2vhiccmvaTZ2hOTax/8AfAr+ZD/gq/8AED9oXUv+CknxI1z4xarrFpr2heL54PDLzboJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/U39m79pKfxB8CPBXin4w/t46nb+Krzw9Z3PiC0n+IWnw7LpkDOrRBfk56r26cV8NDjDB4fFVoToNWla8Uru2l5ba/efuXHvhbmPDfDGU46pmKrqtDSDbtTulO1LV3hrq0o62dve0/SVVVBtVQAOgApa8q/Zt8X+I/GQvdZl1ptT0m6gS4tb8T+bFIz/MDE4yrKynPynGNuOvPqtfVZZj4Zng44iMXFO+j8nY/FcVh5YWs6bd7BX5x/8HMni744+G/2JtF0z4bTajB4X1bxStt48nsI/lNvs3W8UzjlInmA9AzBFJ5AP6OVzvxb8L/DHxr8MNf8LfGnTtKu/CV5pM6eI4dbZVtPsewmVpWcgIqqCxckbdu7IxmnmWFljcBUoRlyuStf+unfyPoOCc9o8McWYPNKtH20aM1Jw79NP7yveP8AeSPwK/4IYfF7xR4N8eeNPB2rftA33gfwfPo6Xs32fxBbaclxqYmiji+eYEufJ875V4wAT/DX3r438C/sTfGCPxB4/wDi/wDETQPH95a6EItT8SeI/FVtqN1o9gj7k8lwwFmBKdwZAhZ2wWOcV9rfsp/DH9lH4a/CGDQP2P8ASPCkXgyW+nuIX8J3kd3aTXJYLK5mR38x8qFJLEgIF4CgD5u/4KC/s1/AX41ftCX3iH4sfCrSdevPD3wzs5tGmv42ItnN1qbkhQwVwWjQ4YMPl6cnP53mvD+Ky7JvayxLlFW91X5dX018+x+kcQce4LifxFrZnTo1MHGWjcEvbe6kveXNBc0mlze8+XTSTWvu3/BO/wAS/Fzxh+xP8OfEvx0m1KXxNd+H1e9uNZtxFeXEPmOLaadeMSvbiF2yASzEkAkivZ65z4PMW+EnhZmOSfDliST/ANe6V0dfpmHg6WHhBu9kld7uy3Z+OZni44/Mq2JjBQVScpKMdo8zb5V5K9l5BRRRWxxHwV/wcZ+LPjl4V/4J33KfB6XUYtN1LxPa2Pjy406LJTR5Ip9yyMOY4nuBbRsR94PsPysQfib/AINc9f8AjFbftUeOPDfh2C7fwPdeEFn8UOtsGgjvo5gLHdIR8jlXuwqg/MA/B25H6+/ts6Vp2u/sjfEbQ9Ys0uLS98IXtvd28n3ZYniKsp9iCR+NeS/8E9vgR8Hf2fPin488G/BP4d6d4b0y58P6LdXFppytiWY3OqLvZnZmY7VAGTwBxivjMww0nxdhp871i36cqeno+vzP2zIfETL8t8IMfw1PBqVWrO6npb3nH3pdeeFvca8tra/VdFFFfZn4mFFFFAHzvY/Cr+2fjdDYnSJbFLLxe+uzC2UhDIJpJi5LA/K7sSfUk4xX0RRRXlZVlccrhUipuXPJy18+n/BOrF4p4qUW1aySCiiivVOUK8w/ae0Iaroejao2jrcDTNSeeO5wS1s7QvFuGOACkjqSfUeten0Vw5lg/wC0MDPD83LzK197G+GrfV68alr2OI/Z48Et4B+F1to8gnD3WoX2oSJcgBka6upbgrjAwAZMAHnGM5NdvRRW+FoLC4aFFO6ikvuViKtR1aspvq2wrkfiN8ItL+IeoWupXGpy2skC+XKYow3mR5Jxz0IJODyOTwa66ipxeDw2OoOjXjzRfT09B0a1WhPnpuzIrWytrOyj0+3iCwxRCNEHQKBgD8q5LwR8GdG8E+Jp/EdrqEk+5WW1heMAQK2M8j7x7Dpwe55rsqKmtgcJXqU6lSCbp6x8ghXq04yjF6S38wooorrMj4y/4L3+L/jn4M/4Jt+K9Q+Bk2owyXN/a2niq60uLdLBo0hdbkkj5kQny0dl6I7ZwpYj8hP+CLfxj8e/D79pi58HWfx11LwV4P1jSJ5/FEtrrsNhDK8Mb/ZizzZXcJJABt+YhiOmcf0gaxpGleINJutB17TYL2xvrZ7e9s7qISRTxOpV43VshlZSQQeCCRXA/s9fsj/s2fso6DqHhn9nj4PaR4VstVu1utSi0+JibiVVCKXeRmYgDoM4GWIALHPyub8P4rMsxhiaddwSVtL3XpZre+uq+Z+z8K+KGV8P+GuYcNVsCqlTESbjPTl95RV5315qfLena+ttrXfzL4E8dfD3xl4vh/sf9og+O9bitJI7G3uvFttqM9vCzxtKIo4cEBmjh3HB+4nTv9cfBPwSnw4+Enh7wNHJMw0zSooc3BG/gc5wAM8+ldKltbxNujgRT6qoFPrpyfIp5ZialepWdSUkldrt53dz8pxmPjiqcYRgopdv+GQUUUV9CeceZfFH9jT9lr41fFfQvjl8VvgfoOu+LfDXlf2Jrl/bFprbypDLGOCA4SQllDhgCTjGa9JNnaE5NrH/AN8CpKKiNKnCTlGKTe+m/r3OqvjsbiqVOlWqylGmrRTk2ore0U3aKvrZWEVVQbVUADoAKWiirOUK/OP/AIOZPF3xy8N/sTaLpnw2n1GDwvq3ihbbx7PYR/KbfZut4pnHKRPMBnszBFJ5AP6OVjfEL4e+Cfix4H1X4a/Ejwxaa1oOt2T2mq6Xfxb4rmFxhlYfqCMEEAgggGuLMsJLHYGpQjLlcla/9dOj8j6fgvP6HC3FWDzatRVWFGak4PqvK+nMvii+kkmfgP8A8ENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9MfBGp+Avijfarpfhb41nx1rGoactndXJ8SQaldw237xUQeT9xA00jDK/ec8npX1V8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAr5CHBuKlhlRq4t8vWKTcfleX6fI+p4/wCP8BxbxbiM2wuEVKM7JXtzOyS5pWVuZ21s32u7XKPhDQo/C3hPS/DMUjuunadBaq7kFmEcaoCccZ47Vo0UV92lZWPzBu7CiiimI5r4x6Cnij4W674dm0dNQjvdOkhls3DESowwwwvJO3OAO+K4P9mLwVJZeIdf+Ik4nV9SsbLT1WQAIy28l1JuXjJOblgTnHygcEGvYaK8utlka2a0sa5v3E1bo731v8/yOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/8ABV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP+CVv7N/7TNh+0T+yF+zx4x/Zv8ceFLz9kmy+JEfxQ8Xa34flttIv21W5mWxXTrxvkvxcCVZW8snaAd3Sv2roAKKKKACvDf22f+Cif7MH/BPzSvDmrftJeItXsk8Van9h0iPR/D1zfsX3xRl5DCjLDGHmhXe5UFpFAyTivcq/Pv8A4OP/ABbq0v7BsXwU8H/CPx/4u8QeK/F2jXmm23gfwNfawsMOnatY3Vybh7WNxb/ugxTfjzCrBc4OAD9A1YMoYdCMilrmvg78TdF+M3wv0P4p+HNF1vTbHXdPS6tbHxJos2nX8CN0We2nVZIX45RwCK6WgAooooAoeKvE+h+CfC+peM/E9+LXTNIsJr3UbpkZhDBEhkkfCgk4VScAE8cCvD/2QP8Agpl+yl+29448SfDD4K694gtvE3hWzgvtV8O+LvCV9o179hnOIbyOG8ijaSB+MSAY+ZfUZ9q8c+KYPA3gnWPG11pF/qEWj6VcX0lhpVo091crFG0hihiXmSRgu1UHLMQB1r85f+CM3xR1j9qv9sv4sftrftGfBv4m+D/iz4z0BNN0fw14o+GWp6TpXhXwlZXYFrp6X11CkV7eyySi4lKnuQihUagD9L6KKKACiiigD53/AGzf+Cov7Jn7BOvWWh/tF6t4ps0uLOK8v9V0bwTqGo2Gj2ss/kRz311bwtFaI0gKr5jAnacCvoHTdSsNZ0631fS7tJ7W6gSa2njOVkjYBlYHuCCDX5lf8HF9hcfHP4XRfs3+B/gV+0Hr3xIisre/+GUvw90W7uPCesX819Bm21jYTaSpD9lRyl6oVVlJjJ3NX6SfD2LxPB4A0ODxrb2sWspo9surxWSgQpdCJfNWMDgIH3AY7YoA2KKKKACgkKCzEAAck0V4n/wUb8IftLfEL9iP4i/D/wDZCihf4ha9oDadofnaoliVWeRIrhkuHBWCUW7TFJCDtfacHGKAF/Y1/wCCgv7L/wC3zF43u/2YfGtxrtr8P/Fk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/wBpnwH8Vv2Jf+FQeF5PHuny+HrVfEZvreNodMtrUWlrJ9mhF7CsUSObxPlZ2ZNu5ST+mtABRRRQAV85/Er/AIKgfs6/DP8Aaqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8FUPAHxC0r9u1/H/AOwp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/0SSGOCW6R1uT5iyZ2Da2SAfrTRRRQAUUUUAch8fPj18Jf2YPg7r/x8+OvjS18PeE/DFgbvWdWu8lIY8hQAFBZ2ZmVFVQWZmAAJIrn/wBlL9rj4TftkfDyf4kfCSz8S2draX5s7yw8XeFLzRr6CTy0kUtb3caSbGjkR1cAqwYEGvnf/g4J/Z2+MX7TH/BMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/HOsatIifxNGAASQKo/8ENrf9oOP4dfFi5+Ik/xYb4bz/E6ZvgoPjg903iUaN9mi803H2z/AEkRG583yxL82A2PlxQB9y0UUUAf/9k=", 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", 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", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "17*3=51", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "6dea746d0243dc248e1f41156e0f86227af464e5beb3dd05fef3af0aff1afa2c"}
+{"episode": 86285, "episode_seed": 3484683467, "split": "train", "timestamp": "2025-10-28T03:51:09.164427", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3484683467, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 1, 10, 4])</answer>", "action": "('move', [4, 1, 10, 4])", "reward": 0.0, "image": 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aySv3st/mfmdZt1pNqzu9O3l8gr8QP2ofF/7Qx/4OXPC5tl1J7ux8ZaFY+HovswYJoMltH9p8sdDEYpb1mbsTIeCOP2/r5e+LHwn+G2q/8FCvC/xl1LwZZT+KtJttN0/TNckUme2tpF1EvGnOADubJxn5iM4JrxeIqLq0KFpNWqw283b9bn6B4c8V4XhPGY6rXw6qqthq1JJ20c0rN3+zpaXWzfofUNfCP/BxprnxH0X/AIJoatH4Cku0s77xXplr4qe1TONNZpGw56qhuFtVJ77gp4Y193Vh/Er4beBPjD4D1X4YfE7wva61oGuWbWuq6XeoTFcRN1U4wR2IIIIIBBBFepmGGljMFUoRdnJNX9T53hHOqPDnFGDzStT9pGhUhNx7qLT0vpfqvOx+RX/BMHxh4K+JH7B3hn4XfH79oMzWDanPZ23gDVPFtrDaXNpHdhreF7Q4kkRpQTsY/vOhDKcH9C/+CaFpaaT8ANX8OeGLZIvCuleP9btfBiQQokCaetySyQlOGhS5a6RD/dQDoBXQftJfBb4Uad+x3qXwOsfAWnxeEoNLsdHi0GKIrAtiJ4IhAMEMF2cZznvnPNan7GHhHwx4B/Zx0LwT4L0SDTdJ0q61K106wtVxHbwpqFyqouecADqck9ya+XyjKq+WZ2oVKzn+669FzJWWr0XTY+j4o4qwuf0MdXpU3TVfEuooackU+Z82j/iO6i7Rta+rukvUq/n2+GfxI+Prf8F5PFFv4v8AEGp217rXxL1HTvEtrOwT7TpkE5a1hZTwY1FvZsmO0aEcdf6Ca8J/aG+AHwY8K3euftBeHfhxplp408TahollrviOGDFzeW8V7bCON2zjACIOACdi5ztGO7ijLqmOwHPCfL7Pmk/Ncr/Hp6NleH/GOD4Xw+ZYavh/avGUXRi9Pck5LV36fa015ox9Vk/sKeML7xBpkmk6b4wbV7HTTeW96n21ZhYzrduwtzt4jZA+Ah+YLjPQV9GVwn7MyInwL8O7VAzaMTgdT5j13dd+R4SeDy2EJTc29bvpfW3XY+Ex1aNbEyaja2n3dQr8xv8Ag6N1z4k6f+yN4G0fw692nhrUPG5XxK0Cfu3kS3d7VJGHRSwlYDoWjB6qK/TmvEv2+fhl4B+MPwStPh18T/C1trWh6j4nsRe6bdlhHNsLuudpB4ZVPB7UZ/TdTJq6vb3W/u1/G1j6Xw+z7D8McaYHNK9L2kKVRNx0vZpq6vpzRvzRvbVLVbmN/wAEndU+IGs/8E3/AIO3/wATop11Y+C7dALmERubRCyWjEDsbZYSD1IIJ5Ne/wCqPeR6ZcSaeu64WBzAuM5fadv64rk/2crS10/9n7wRp9jbpDBb+E9PighjXCxotugVQB0AAAA9q7Ou7BxcMHTje9orX5HhZzjoZjnWIxkYKCqVJzUVtFSk3yryV7H88v8AwSV+MfxS0n9t34kXvxf+OmreDLnXdPvrrxtfza1Bps1zqqXqkJK84++HlufkHct2Ffpp+xv4c+Fnhj9s3R9Y+A17Zai3ibwTrt3471vT7uK9fVsX9s8F5eXKkmSY3Ut2qtnnMygYjwnon7IPwh+GPgb9p34jeMfCXgiwsNV8VXmqXfiO/hjJkv511eYK7liegZsAYHzHjml/ZL+Enwz8BftY/ETxx4N8FWOnav4qutYn8RahbofMv5I9XZUZySfuhmwBgcnjNfn2V5ZWo4nC1pVpNOpNKPRcvNd7/atrp1P1fjbj7AcT5xjcbRw7oxnQpw5Fa0nyRjedmtIXbp6SfuQ0juvqGor6K1nspob5VMLxMswfoVI5z7YqWuN+OfjC28J+A7lJJikt8jQRsBnauMyMfYJn8xX6BjsTTweDqV6m0U36+Xz2PxmhSlWrRhHds8M/Z71nwtrv7YE/h2dXkfw94TuJdGllij2NcTSw+dg79yzJbm34C42XT/N2r6lr5H8F/DnX/AWn/D340x25h1XWNc/4SDUoppU3CK6BiktyTEMFLGWJQODvtwC38VfXAIIyDXhcK3o4GWFnHlnTeq/xLmT/ABt8jvzX366qxd4yWny0f9eYVxf7SOp+PNE/Z38e6z8LEnbxPaeC9Um8OLaxCSU362krW4RT95vNCYHc12lFfSzjzwcb2ucWGrLD4mFVxUlFp2ezs72fk9mfjr/wata58Sb3X/jNY3zXc3h2RNMuri4njyp1NnuAT5h5LtHksPYE9s/sVXy9/wAE1/hN8NvhLZeKrP4a+DLLRo9Zt9L1TVFs1b/SryUXPmTOWJJY7R7DHAFfUNeHwzB08kpK99//AEpn23idxLhuLuNsVmtCj7KFTktHS/uwjG7tpd2uec/Fj4a/sweLvi34A8V/GXRvC9x4z0W9un+HMus3UaXizmNTP9kRmBmYKqMQA23aG4IBr0OO3giO6KBFPqqgV+HH/Bwz8SPjz4R/4Ke/D3U9B8R6ppMPh/w9pt54CvbdxEtvcvdyGaaJj8u/zEQMW7Igb5cZ/Rf9nD4t2viPx9beH/BP7Slz43na6ilurKXxXb6i0EQJVm2wgFUIY5J4yB0xXn1OKMLhsyqYaVF83MldJa7K7/TfSx6HEnA2LyrhjKMxli1UjiaU5qDb/d2lfljq9HzXe3v8/qfWdFFFfXH5kfPX/BWDXPiT4b/4JyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wa3ap4/uv2RPHema3FP/wjtr47zoEkkICGZ7WI3Ko3VgMQkjoCx9TX6KfGqCG6+Dfi22uIw8cnhm/V0bowNvICK8r/AOCeXwt+Hnwa+DusfD74WeEbTQ9Fs/FDvbadZBtiNJZWbucsSSSzEkknrXz+Jot8SUKnM/gnp00a/wDkvwR+iZdxXhcL4ZY7h+WHTqVa9OoqmmiS1Xe65bR6WnPbr71X4Nf8FBvip8dfCn/BwFDrN/4+1Xw1/Z+u6Npui6tHdpafZNBmtoln8uST5FiZZrssxyNzOeo4/eWvl34t/CT4aax/wUI8MfGPVvBVjceKNKtdN0/TdblQma3tpF1EvGvO0Alm5xn5iM4JrPibDzxOEpRjNxftIarzdr9Nr3+RXhtxZhOEcfja2Iw6rKthqtJJ20ckmm7/AGXa0utm/R5f7N9x4P8Aip8SrK88N/GiXxvPp1/Dc32pN4ig1GW3SJZWiidohiOPczkAgElmwa+tqbHDDDnyolXPXauKdXdk+VyyuhOE6jqOUuZt77Jd327nwmMxSxU01HlSVrf1Y+G/+DiLXPiTon/BMvxCPh892lteeIdNtfFElpHnbprSncHPVUaYW6kjru2nhjXyV/wS18Y+DPiD+wZoXwr+Pn7Qrf2W2sXVla+AtS8XWtvaXVktyrxQvanEkkbzF8qT+8ztIKnB/XT4xeGvhZ4w+FXiHwz8cLTSp/B95pM8fiSPW5ljtPsewmUyuxARAoJL5G3GcjGa82+Nnwv+B9z+w/efC/wP4Z0WfwFP4Zs7DS7DTHD2c2mO0SIsbofmjaMjDhiSDnJzmvGz3JK+MxM8VCu4JU2mle7tdtbrR/mfpGVca4XDcA0sgeGamsWq3tklouRR02ftF01Xu21W5k/8E2Y47H4J+IfDvh9SvhXSPiFq9l4LSONVgi09HQvFAV4aCO7N3EnYCPaOFFfQleVfsVeDfCvw7/Z00fwL4H0K30vR9J1DU7bTdPtVIjt4V1C4Coucn8SST1JJr1WveyeLhlNBXv7kfyR8Fn2Lhjs5xFeCdpSe+71teX96W8v7zYV5T4x8EnWv2j9F1Y6e8YgjhumuYgf3ghWcAMTkYBlI4wfmHrXq1FaY7BrGxhFytyyjL15Xe3zOChWdBydr3TX3hRRRXaYHL/GnTF1j4YatYvYC5BhRzEQT9yRX3cd127vwqL4F+Hm8MfC3TNMcSBpGuLphKMMDPcSTEdBx+849sV1tFcX1Nf2j9b5vsctvne5v7d/VvY263v8AKwVxvx707+0vhneRfYBcCKe3n2kElDHKrhxjupUH8K7KitMZh/reEqUL25k1ftdWIo1PY1oztezT+45v4QeGj4Q+GWi+HT5mbexXcJvvAtlyDwOhbFdJRRWtGmqNGNNfZSX3Ezlzzcu4Vwn7ROmHUvh6GGnC4NtqMM6/KSYyCQHGO/OPoTXd0VjjsL9dwdShe3Mmr9rl0KvsK0alr2dzE+Gvh4eEvh3oXhYGQ/2dpFtbZlxu+SNV5wBzxWnqz3selXMmmJuuVt3NuuOr7TtH54qxRW9OCp01BdFYhyvPmsfl34F+OVrpmq/Ciz1n9pvUfDF7qnw91O88azt4htbC4nvxcWgk+0tKCUlF416nljHzJKMfuyB9jfsaaZ4e1y7ufiF4X8WHXbL7BJbJrEeoR3SXsstx5s0jTJ8sknmISxBwCx4HFel/Dv8AZ5+CXwm8W+KvHfw4+GelaPrHjfUl1DxXqFnBiTU7kbsSyEk85dzxgZdj1Yk9kiJGuyNAoHYDFfJ5ZwxiMFiadariHJQbajrbW6vq99bvTf7z6riHPsvzKvL6nQ5Itbuyd3Jyd1HS0W+SOusYxdl8KWuf8ffD3TvH8djHf3Tw/YroSgogO9f4k56ZwOfaugor6nEYejiqLpVY3i91+J8tTqTpTU4OzRz/AI/+H2neP7aztr66eH7JdCUMig7l6MnPTI79q6AAAYA4FFFEMPRp1p1YxtKVrvvbb7glUnKCg3otvmFI24Kdo5xxmlorYg8q/Zk8Ejwz/bupiwktBNJBZJalSEjW383AXPPHmkck/dHvXqtFFcWXYNZfg4YdS5uXr3u2/wBTfE1niKzqNWucd4+/Z9+CvxS8f+Ffin8Q/htpmr+IfBFxNP4U1a8h3S6bJKFEjRnOOdinkHBUEYIzXXR28ER3RQIp9VUCn0V1qEIttLV7+fqKpiMRWpwp1JtxgrRTbaim22kuibbdl1be7CiiiqMTN8ZWA1XwjqultZrcC502eI27ZxKGjYbTjnnOPxrjf2aPDTeH/At3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/gbxruOHlStu07+lwr86/wBrH4t6r4Q+JPxFu/EPxcvPDPiCD4yeG7DR7g38FrLa6XJFYbBCZcqsL27ai5kx94TnOUO39FK43Vf2e/gprnxq079ozV/hrpdx440nSJNL03xLLBm5t7NyxaJTnGDvfnGQHYA4Yg8ed5ZWzXDwp06nI1JSv6X/ABW680e3w5muX5VXqzxdL2icbJWT95SjJJ3+zK3LK2tnons/Gf2TvifF4w8YppHg748z+ObaCWR9Rll8Rw6ibZHjOAzQ4CAlAVDDrnHU19MU2OGGHPlRKueu1cU6tcpy+rluHlTqVXUbd7v0Stu+3c8fF4iGJqKUYKKStZf0j4b/AODiLXPiTon/AATL8Qj4fPdpbXniHTbXxRJaJnbprSncHPVUaYW6Ejru2nhjXy7/AMElvjFbaz+xd4Y8M/Fz9qO6tvsesXFlpHhG/wDGFrBC9lHMvkRG3b94yeZuCgnnAA4xX62/ET4eeCfi14F1X4Z/Ejw1a6xoOuWMlnq2mXibo7mFxhkbHI+oIIOCCCM0ngT4deBvhj4M0r4eeAPC1npWiaHYRWWk6daQgR20EahURe+AAOTknqSTXl5tw/icyx/t4V3TTjy6X77brR/mffYXjjA4fw6XDjwqlVWJ9t7TTbk5bbN819L7cuhlfAnw63hj4X6fp8glDTTXN26zDDAz3Ek2MYHHz8e1dfRRX0OFoLDYaFFO/Kkr+isfndWftasp92394UUUVuZhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXkY/bi/ZvP7YR/YTHjSf/hYw8Pf2udO/syf7N5e3zPI+07fK+0+T+/8AI3b/ACvnxt5r1yvzrT4QfGUf8Fx2J+EviX+wf+E5PxE/4Tn+y3/sj+zD4FXw79j+1fc+1fbgf9Hzu8v95jHNAH6KUUUUAcD+0/8AtK/Cn9kD4E+If2jfjbqV7aeGPDFqtxqk2nabLeThWkWNQkMSs7ks6jgYAySQASOy8Pa7p3ijw/Y+JtIkZ7TUbOK6tXdCpaORA6kg8g4I4rwz/gqnr82gf8E4vjWtl4R8Ra9eap8ONV0fTdI8K6BcanfXN3fW72cCpb26tIy+bOhdgCEQM5wqk16B+yn4vtfHv7NHgPxbZaFrOmR3nhOxI0/xDpE1hfW5WBVKTW8yrJC4KnKsARQB39FFFAHknwq/bd/Z9+Mv7R/jX9lLwXr2qf8ACaeA7ZbnWLHUtAurSG4gMpgea0mmjWO7jjmHku8RZVk+UnNet18XfswfEu8+Nn/BXL41+JfHfwx8d6Dd+BvCcHgzwBPqvgi9tdIvtIiuYrnUL+PUZIxb3EtxezRpHEjkiGw34O9sfaNABXln7X37Y3wT/Yd+E5+NXx7utah0FL0W802heHbrU5YR5ckrzSR2yO0cMcUUkkkrAIioST0z6nXyD/wXFhj8Q/8ABPfxh8L4fh18VPEepeL7SbTPDdv8J9PnublNXNvLJYrerCc/YJJ0jim8wNCVk2yDaxNAH1tpWqadrml22t6RdpcWl5bpPazxnKyRuoZWHsQQfxqxWL8NoPElr8OtAtfGNrbwavHotquqw2iBYo7kQqJVQLwFD7gAOMYraoAK86+EP7VHwY+OnxW+JHwY+GviGa+1z4Ua1aaV4zQ2jpFbXdxarcpGkhG2UiNgG252sCp5Fei1+eX/AARX+Fn7Xfwm/aR/aS0/9qX9nIeELnWtY0TVJfEcPiIX8HiHUJo7uW5uImWCNSG81WKqz+TuWEklNxAP0NooooA8m/aM/bM+E37MXjnwJ8OPHmheL9T1j4iajNaeHrPwl4Ru9WZPJe3Wae4+zI32eBDcw7pXwihskjFes18L/wDBaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/AFfw5fWVlIzYCzS27xoSe2GYc0Acp+yn+158E/20Ph9d/FH4Dapql7odpq8tgl7qehXNiLsoqOtxbi4RDPbSI6PHOmUkVsgnBx6dXwL/AMG83gj4/wDw3/ZE1rwH8ZNL+JFhpWi61p2n+F9O+KYmGo2rwaHp0OqRwCb5lsF1NL1bYD5PLH7v5NtffVABXinxz/b3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/wDag8I+K/it+3Z+zp4Kg8N6jP4Y8IXfiLx1r+oiykNnFeWunjTNPheXGwSs+rTyohO4i2ZgMKaAPpCiiigDmvjJ8XPAPwC+E/iP42/FTXBpvhvwnotxquuX5iZ/ItYIzJIwVQWY7VOFAJJwByawv2Xf2n/hN+2D8G7D45/Ba/1CbRb67urRodY0qawvLS6tp3t7i3uLedVkhljljdWRgCMVyP8AwUv8N/ELxj/wT3+NHhP4UeEm17xFqfw21e10vRo7UTyXkj2rqYo424eQqW2L3fbXAf8ABF3wlrvgv9hmz0e/8F+LNC0mTxz4muvCNt8QLKSDxBPo02sXUtncaksv703ckbh3aX942VLcmgD6vooooA8jX9uT9m9/2w2/YUXxncf8LFTQP7WbT/7Ln+y7Ngl+z/atvk/afJIn8jdv8o78bea9cr87/GH7N/xG1D/gv54V+JvgObx1/wAItaWdx4u8c29/4MEWgR3g8Ny6FbT22rb/AN/NIskUTWQUGP7PLKThkr9EKACvNvjP+1j8GfgJ8Uvhz8G/iLq1/Dr3xU1yfSfCFvaaVNPHLcQw+c/myopSBQuAC5G4nAzzj0mvkH/gqd8TV8DfEX9mezX4aeOvEHlfHm01e+n8H+Cr3VotPs4LC8tZJbl7aNxbr5t/BjeRuUSMMiNsAHsf7LX7cX7OH7ZV94z074AeNJ9Wl8B+IG0jXhcaZPbAyAuqzwGVVFxbSNFKqTplHMMgBO0163X51/8ABCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP/Z", 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aySv3st/mfmdZt1pNqzu9O3l8gr8QP2ofF/7Qx/4OXPC5tl1J7ux8ZaFY+HovswYJoMltH9p8sdDEYpb1mbsTIeCOP2/r5e+LHwn+G2q/8FCvC/xl1LwZZT+KtJttN0/TNckUme2tpF1EvGnOADubJxn5iM4JrxeIqLq0KFpNWqw283b9bn6B4c8V4XhPGY6rXw6qqthq1JJ20c0rN3+zpaXWzfofUNfCP/BxprnxH0X/AIJoatH4Cku0s77xXplr4qe1TONNZpGw56qhuFtVJ77gp4Y193Vh/Er4beBPjD4D1X4YfE7wva61oGuWbWuq6XeoTFcRN1U4wR2IIIIIBBBFepmGGljMFUoRdnJNX9T53hHOqPDnFGDzStT9pGhUhNx7qLT0vpfqvOx+RX/BMHxh4K+JH7B3hn4XfH79oMzWDanPZ23gDVPFtrDaXNpHdhreF7Q4kkRpQTsY/vOhDKcH9C/+CaFpaaT8ANX8OeGLZIvCuleP9btfBiQQokCaetySyQlOGhS5a6RD/dQDoBXQftJfBb4Uad+x3qXwOsfAWnxeEoNLsdHi0GKIrAtiJ4IhAMEMF2cZznvnPNan7GHhHwx4B/Zx0LwT4L0SDTdJ0q61K106wtVxHbwpqFyqouecADqck9ya+XyjKq+WZ2oVKzn+669FzJWWr0XTY+j4o4qwuf0MdXpU3TVfEuooackU+Z82j/iO6i7Rta+rukvUq/n2+GfxI+Prf8F5PFFv4v8AEGp217rXxL1HTvEtrOwT7TpkE5a1hZTwY1FvZsmO0aEcdf6Ca8J/aG+AHwY8K3euftBeHfhxplp408TahollrviOGDFzeW8V7bCON2zjACIOACdi5ztGO7ijLqmOwHPCfL7Pmk/Ncr/Hp6NleH/GOD4Xw+ZYavh/avGUXRi9Pck5LV36fa015ox9Vk/sKeML7xBpkmk6b4wbV7HTTeW96n21ZhYzrduwtzt4jZA+Ah+YLjPQV9GVwn7MyInwL8O7VAzaMTgdT5j13dd+R4SeDy2EJTc29bvpfW3XY+Ex1aNbEyaja2n3dQr8xv8Ag6N1z4k6f+yN4G0fw692nhrUPG5XxK0Cfu3kS3d7VJGHRSwlYDoWjB6qK/TmvEv2+fhl4B+MPwStPh18T/C1trWh6j4nsRe6bdlhHNsLuudpB4ZVPB7UZ/TdTJq6vb3W/u1/G1j6Xw+z7D8McaYHNK9L2kKVRNx0vZpq6vpzRvzRvbVLVbmN/wAEndU+IGs/8E3/AIO3/wATop11Y+C7dALmERubRCyWjEDsbZYSD1IIJ5Ne/wCqPeR6ZcSaeu64WBzAuM5fadv64rk/2crS10/9n7wRp9jbpDBb+E9PighjXCxotugVQB0AAAA9q7Ou7BxcMHTje9orX5HhZzjoZjnWIxkYKCqVJzUVtFSk3yryV7H88v8AwSV+MfxS0n9t34kXvxf+OmreDLnXdPvrrxtfza1Bps1zqqXqkJK84++HlufkHct2Ffpp+xv4c+Fnhj9s3R9Y+A17Zai3ibwTrt3471vT7uK9fVsX9s8F5eXKkmSY3Ut2qtnnMygYjwnon7IPwh+GPgb9p34jeMfCXgiwsNV8VXmqXfiO/hjJkv511eYK7liegZsAYHzHjml/ZL+Enwz8BftY/ETxx4N8FWOnav4qutYn8RahbofMv5I9XZUZySfuhmwBgcnjNfn2V5ZWo4nC1pVpNOpNKPRcvNd7/atrp1P1fjbj7AcT5xjcbRw7oxnQpw5Fa0nyRjedmtIXbp6SfuQ0juvqGor6K1nspob5VMLxMswfoVI5z7YqWuN+OfjC28J+A7lJJikt8jQRsBnauMyMfYJn8xX6BjsTTweDqV6m0U36+Xz2PxmhSlWrRhHds8M/Z71nwtrv7YE/h2dXkfw94TuJdGllij2NcTSw+dg79yzJbm34C42XT/N2r6lr5H8F/DnX/AWn/D340x25h1XWNc/4SDUoppU3CK6BiktyTEMFLGWJQODvtwC38VfXAIIyDXhcK3o4GWFnHlnTeq/xLmT/ABt8jvzX366qxd4yWny0f9eYVxf7SOp+PNE/Z38e6z8LEnbxPaeC9Um8OLaxCSU362krW4RT95vNCYHc12lFfSzjzwcb2ucWGrLD4mFVxUlFp2ezs72fk9mfjr/wata58Sb3X/jNY3zXc3h2RNMuri4njyp1NnuAT5h5LtHksPYE9s/sVXy9/wAE1/hN8NvhLZeKrP4a+DLLRo9Zt9L1TVFs1b/SryUXPmTOWJJY7R7DHAFfUNeHwzB08kpK99//AEpn23idxLhuLuNsVmtCj7KFTktHS/uwjG7tpd2uec/Fj4a/sweLvi34A8V/GXRvC9x4z0W9un+HMus3UaXizmNTP9kRmBmYKqMQA23aG4IBr0OO3giO6KBFPqqgV+HH/Bwz8SPjz4R/4Ke/D3U9B8R6ppMPh/w9pt54CvbdxEtvcvdyGaaJj8u/zEQMW7Igb5cZ/Rf9nD4t2viPx9beH/BP7Slz43na6ilurKXxXb6i0EQJVm2wgFUIY5J4yB0xXn1OKMLhsyqYaVF83MldJa7K7/TfSx6HEnA2LyrhjKMxli1UjiaU5qDb/d2lfljq9HzXe3v8/qfWdFFFfXH5kfPX/BWDXPiT4b/4JyfF/WfhK92mtxeD5gkljHuljtmdFunXuNtsZm3DlQCRyBXyV/wa3ap4/uv2RPHema3FP/wjtr47zoEkkICGZ7WI3Ko3VgMQkjoCx9TX6KfGqCG6+Dfi22uIw8cnhm/V0bowNvICK8r/AOCeXwt+Hnwa+DusfD74WeEbTQ9Fs/FDvbadZBtiNJZWbucsSSSzEkknrXz+Jot8SUKnM/gnp00a/wDkvwR+iZdxXhcL4ZY7h+WHTqVa9OoqmmiS1Xe65bR6WnPbr71X4Nf8FBvip8dfCn/BwFDrN/4+1Xw1/Z+u6Npui6tHdpafZNBmtoln8uST5FiZZrssxyNzOeo4/eWvl34t/CT4aax/wUI8MfGPVvBVjceKNKtdN0/TdblQma3tpF1EvGvO0Alm5xn5iM4JrPibDzxOEpRjNxftIarzdr9Nr3+RXhtxZhOEcfja2Iw6rKthqtJJ20ckmm7/AGXa0utm/R5f7N9x4P8Aip8SrK88N/GiXxvPp1/Dc32pN4ig1GW3SJZWiidohiOPczkAgElmwa+tqbHDDDnyolXPXauKdXdk+VyyuhOE6jqOUuZt77Jd327nwmMxSxU01HlSVrf1Y+G/+DiLXPiTon/BMvxCPh892lteeIdNtfFElpHnbprSncHPVUaYW6kjru2nhjXyV/wS18Y+DPiD+wZoXwr+Pn7Qrf2W2sXVla+AtS8XWtvaXVktyrxQvanEkkbzF8qT+8ztIKnB/XT4xeGvhZ4w+FXiHwz8cLTSp/B95pM8fiSPW5ljtPsewmUyuxARAoJL5G3GcjGa82+Nnwv+B9z+w/efC/wP4Z0WfwFP4Zs7DS7DTHD2c2mO0SIsbofmjaMjDhiSDnJzmvGz3JK+MxM8VCu4JU2mle7tdtbrR/mfpGVca4XDcA0sgeGamsWq3tklouRR02ftF01Xu21W5k/8E2Y47H4J+IfDvh9SvhXSPiFq9l4LSONVgi09HQvFAV4aCO7N3EnYCPaOFFfQleVfsVeDfCvw7/Z00fwL4H0K30vR9J1DU7bTdPtVIjt4V1C4Coucn8SST1JJr1WveyeLhlNBXv7kfyR8Fn2Lhjs5xFeCdpSe+71teX96W8v7zYV5T4x8EnWv2j9F1Y6e8YgjhumuYgf3ghWcAMTkYBlI4wfmHrXq1FaY7BrGxhFytyyjL15Xe3zOChWdBydr3TX3hRRRXaYHL/GnTF1j4YatYvYC5BhRzEQT9yRX3cd127vwqL4F+Hm8MfC3TNMcSBpGuLphKMMDPcSTEdBx+849sV1tFcX1Nf2j9b5vsctvne5v7d/VvY263v8AKwVxvx707+0vhneRfYBcCKe3n2kElDHKrhxjupUH8K7KitMZh/reEqUL25k1ftdWIo1PY1oztezT+45v4QeGj4Q+GWi+HT5mbexXcJvvAtlyDwOhbFdJRRWtGmqNGNNfZSX3Ezlzzcu4Vwn7ROmHUvh6GGnC4NtqMM6/KSYyCQHGO/OPoTXd0VjjsL9dwdShe3Mmr9rl0KvsK0alr2dzE+Gvh4eEvh3oXhYGQ/2dpFtbZlxu+SNV5wBzxWnqz3selXMmmJuuVt3NuuOr7TtH54qxRW9OCp01BdFYhyvPmsfl34F+OVrpmq/Ciz1n9pvUfDF7qnw91O88azt4htbC4nvxcWgk+0tKCUlF416nljHzJKMfuyB9jfsaaZ4e1y7ufiF4X8WHXbL7BJbJrEeoR3SXsstx5s0jTJ8sknmISxBwCx4HFel/Dv8AZ5+CXwm8W+KvHfw4+GelaPrHjfUl1DxXqFnBiTU7kbsSyEk85dzxgZdj1Yk9kiJGuyNAoHYDFfJ5ZwxiMFiadariHJQbajrbW6vq99bvTf7z6riHPsvzKvL6nQ5Itbuyd3Jyd1HS0W+SOusYxdl8KWuf8ffD3TvH8djHf3Tw/YroSgogO9f4k56ZwOfaugor6nEYejiqLpVY3i91+J8tTqTpTU4OzRz/AI/+H2neP7aztr66eH7JdCUMig7l6MnPTI79q6AAAYA4FFFEMPRp1p1YxtKVrvvbb7glUnKCg3otvmFI24Kdo5xxmlorYg8q/Zk8Ejwz/bupiwktBNJBZJalSEjW383AXPPHmkck/dHvXqtFFcWXYNZfg4YdS5uXr3u2/wBTfE1niKzqNWucd4+/Z9+CvxS8f+Ffin8Q/htpmr+IfBFxNP4U1a8h3S6bJKFEjRnOOdinkHBUEYIzXXR28ER3RQIp9VUCn0V1qEIttLV7+fqKpiMRWpwp1JtxgrRTbaim22kuibbdl1be7CiiiqMTN8ZWA1XwjqultZrcC502eI27ZxKGjYbTjnnOPxrjf2aPDTeH/At3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/gbxruOHlStu07+lwr86/wBrH4t6r4Q+JPxFu/EPxcvPDPiCD4yeG7DR7g38FrLa6XJFYbBCZcqsL27ai5kx94TnOUO39FK43Vf2e/gprnxq079ozV/hrpdx440nSJNL03xLLBm5t7NyxaJTnGDvfnGQHYA4Yg8ed5ZWzXDwp06nI1JSv6X/ABW680e3w5muX5VXqzxdL2icbJWT95SjJJ3+zK3LK2tnons/Gf2TvifF4w8YppHg748z+ObaCWR9Rll8Rw6ibZHjOAzQ4CAlAVDDrnHU19MU2OGGHPlRKueu1cU6tcpy+rluHlTqVXUbd7v0Stu+3c8fF4iGJqKUYKKStZf0j4b/AODiLXPiTon/AATL8Qj4fPdpbXniHTbXxRJaJnbprSncHPVUaYW6Ejru2nhjXy7/AMElvjFbaz+xd4Y8M/Fz9qO6tvsesXFlpHhG/wDGFrBC9lHMvkRG3b94yeZuCgnnAA4xX62/ET4eeCfi14F1X4Z/Ejw1a6xoOuWMlnq2mXibo7mFxhkbHI+oIIOCCCM0ngT4deBvhj4M0r4eeAPC1npWiaHYRWWk6daQgR20EahURe+AAOTknqSTXl5tw/icyx/t4V3TTjy6X77brR/mffYXjjA4fw6XDjwqlVWJ9t7TTbk5bbN819L7cuhlfAnw63hj4X6fp8glDTTXN26zDDAz3Ek2MYHHz8e1dfRRX0OFoLDYaFFO/Kkr+isfndWftasp92394UUUVuZhRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXkY/bi/ZvP7YR/YTHjSf/hYw8Pf2udO/syf7N5e3zPI+07fK+0+T+/8AI3b/ACvnxt5r1yvzrT4QfGUf8Fx2J+EviX+wf+E5PxE/4Tn+y3/sj+zD4FXw79j+1fc+1fbgf9Hzu8v95jHNAH6KUUUUAcD+0/8AtK/Cn9kD4E+If2jfjbqV7aeGPDFqtxqk2nabLeThWkWNQkMSs7ks6jgYAySQASOy8Pa7p3ijw/Y+JtIkZ7TUbOK6tXdCpaORA6kg8g4I4rwz/gqnr82gf8E4vjWtl4R8Ra9eap8ONV0fTdI8K6BcanfXN3fW72cCpb26tIy+bOhdgCEQM5wqk16B+yn4vtfHv7NHgPxbZaFrOmR3nhOxI0/xDpE1hfW5WBVKTW8yrJC4KnKsARQB39FFFAHknwq/bd/Z9+Mv7R/jX9lLwXr2qf8ACaeA7ZbnWLHUtAurSG4gMpgea0mmjWO7jjmHku8RZVk+UnNet18XfswfEu8+Nn/BXL41+JfHfwx8d6Dd+BvCcHgzwBPqvgi9tdIvtIiuYrnUL+PUZIxb3EtxezRpHEjkiGw34O9sfaNABXln7X37Y3wT/Yd+E5+NXx7utah0FL0W802heHbrU5YR5ckrzSR2yO0cMcUUkkkrAIioST0z6nXyD/wXFhj8Q/8ABPfxh8L4fh18VPEepeL7SbTPDdv8J9PnublNXNvLJYrerCc/YJJ0jim8wNCVk2yDaxNAH1tpWqadrml22t6RdpcWl5bpPazxnKyRuoZWHsQQfxqxWL8NoPElr8OtAtfGNrbwavHotquqw2iBYo7kQqJVQLwFD7gAOMYraoAK86+EP7VHwY+OnxW+JHwY+GviGa+1z4Ua1aaV4zQ2jpFbXdxarcpGkhG2UiNgG252sCp5Fei1+eX/AARX+Fn7Xfwm/aR/aS0/9qX9nIeELnWtY0TVJfEcPiIX8HiHUJo7uW5uImWCNSG81WKqz+TuWEklNxAP0NooooA8m/aM/bM+E37MXjnwJ8OPHmheL9T1j4iajNaeHrPwl4Ru9WZPJe3Wae4+zI32eBDcw7pXwihskjFes18L/wDBaDwv4w1PUvg/4p+B3hj4vy/FnTPFaQfDbWfhxBMdJtJp9R0v7bFrjxfKllJawyEib9ywikz84QV90UAFNmmhtoXuLiVY441LO7tgKBySSegp1c58YvDGr+NvhF4q8GaBMI7/AFfw5fWVlIzYCzS27xoSe2GYc0Acp+yn+158E/20Ph9d/FH4Dapql7odpq8tgl7qehXNiLsoqOtxbi4RDPbSI6PHOmUkVsgnBx6dXwL/AMG83gj4/wDw3/ZE1rwH8ZNL+JFhpWi61p2n+F9O+KYmGo2rwaHp0OqRwCb5lsF1NL1bYD5PLH7v5NtffVABXinxz/b3+CP7O37Qvgf9mz4k6F41TWfiFe2ll4d1jT/BN7c6Mbq5mliit5tQSMwQzEwuxjZgwQByNpBr2uvm/wDag8I+K/it+3Z+zp4Kg8N6jP4Y8IXfiLx1r+oiykNnFeWunjTNPheXGwSs+rTyohO4i2ZgMKaAPpCiiigDmvjJ8XPAPwC+E/iP42/FTXBpvhvwnotxquuX5iZ/ItYIzJIwVQWY7VOFAJJwByawv2Xf2n/hN+2D8G7D45/Ba/1CbRb67urRodY0qawvLS6tp3t7i3uLedVkhljljdWRgCMVyP8AwUv8N/ELxj/wT3+NHhP4UeEm17xFqfw21e10vRo7UTyXkj2rqYo424eQqW2L3fbXAf8ABF3wlrvgv9hmz0e/8F+LNC0mTxz4muvCNt8QLKSDxBPo02sXUtncaksv703ckbh3aX942VLcmgD6vooooA8jX9uT9m9/2w2/YUXxncf8LFTQP7WbT/7Ln+y7Ngl+z/atvk/afJIn8jdv8o78bea9cr87/GH7N/xG1D/gv54V+JvgObx1/wAItaWdx4u8c29/4MEWgR3g8Ny6FbT22rb/AN/NIskUTWQUGP7PLKThkr9EKACvNvjP+1j8GfgJ8Uvhz8G/iLq1/Dr3xU1yfSfCFvaaVNPHLcQw+c/myopSBQuAC5G4nAzzj0mvkH/gqd8TV8DfEX9mezX4aeOvEHlfHm01e+n8H+Cr3VotPs4LC8tZJbl7aNxbr5t/BjeRuUSMMiNsAHsf7LX7cX7OH7ZV94z074AeNJ9Wl8B+IG0jXhcaZPbAyAuqzwGVVFxbSNFKqTplHMMgBO0163X51/8ABCv4PfGX4eeJPHg+KPwk8R+E18IeCPDHw7mfxBpj2yaxqekXmuTXV5aFv+Pi1KahbFLhcq+9gD8pr9FKAP/Z", 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", "info": {"equation": "14+16*7=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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Q+L/2hj/wcueFzbLqT3dj4y0Kx8PRfZgwTQZLaP7T5Y6GIxS3rM3YmQ8Ecft/Xy98WPhP8NtV/wCChXhf4y6l4Msp/FWk22m6fpmuSKTPbW0i6iXjTnAB3Nk4z8xGcE14vEVF1aFC0mrVYbebt+tz9A8OeK8LwnjMdVr4dVVWw1akk7aOaVm7/Z0tLrZv0PqGvhH/AIONNc+I+i/8E0NWj8BSXaWd94r0y18VPapnGms0jYc9VQ3C2qk99wU8Ma+7qw/iV8NvAnxh8B6r8MPid4Xtda0DXLNrXVdLvUJiuIm6qcYI7EEEEEAggivUzDDSxmCqUIuzkmr+p87wjnVHhzijB5pWp+0jQqQm491Fp6X0v1XnY/Ir/gmD4w8FfEj9g7wz8Lvj9+0GZrBtTns7bwBqni21htLm0juw1vC9ocSSI0oJ2Mf3nQhlOD+hf/BNC0tNJ+AGr+HPDFskXhXSvH+t2vgxIIUSBNPW5JZISnDQpctdIh/uoB0AroP2kvgt8KNO/Y71L4HWPgLT4vCUGl2OjxaDFEVgWxE8EQgGCGC7OM5z3znmtT9jDwj4Y8A/s46F4J8F6JBpuk6Vdala6dYWq4jt4U1C5VUXPOAB1OSe5NfL5RlVfLM7UKlZz/ddei5krLV6LpsfR8UcVYXP6GOr0qbpqviXUUNOSKfM+bR/xHdRdo2tfV3SXqVfz7fDP4kfH1v+C8nii38X+INTtr3WviXqOneJbWdgn2nTIJy1rCyngxqLezZMdo0I46/0E14T+0N8APgx4Vu9c/aC8O/DjTLTxp4m1DRLLXfEcMGLm8t4r22EcbtnGAEQcAE7FznaMd3FGXVMdgOeE+X2fNJ+a5X+PT0bK8P+McHwvh8yw1fD+1eMoujF6e5JyWrv0+1przRj6rJ/YU8YX3iDTJNJ03xg2r2Omm8t71PtqzCxnW7dhbnbxGyB8BD8wXGegr6MrhP2ZkRPgX4d2qBm0YnA6nzHru678jwk8HlsISm5t63fS+tuux8Jjq0a2Jk1G1tPu6hX5jf8HRuufEnT/wBkbwNo/h17tPDWoeNyviVoE/dvIlu72qSMOilhKwHQtGD1UV+nNeJft8/DLwD8YfglafDr4n+FrbWtD1HxPYi9027LCObYXdc7SDwyqeD2oz+m6mTV1e3ut/dr+NrH0vh9n2H4Y40wOaV6XtIUqibjpezTV1fTmjfmje2qWq3Mb/gk7qnxA1n/AIJv/B2/+J0U66sfBdugFzCI3NohZLRiB2NssJB6kEE8mvf9Ue8j0y4k09d1wsDmBcZy+07f1xXJ/s5Wlrp/7P3gjT7G3SGC38J6fFBDGuFjRbdAqgDoAAAB7V2dd2Di4YOnG97RWvyPCznHQzHOsRjIwUFUqTmoraKlJvlXkr2P55f+CSvxj+KWk/tu/Ei9+L/x01bwZc67p99deNr+bWoNNmudVS9UhJXnH3w8tz8g7luwr9OP2NtG+Gvhf9sTSbv4CatbahH4p8G63f8Aj7VdOvo706uy31u1ve3lwrHzJ/tM16iOeoedB8seE9A/ZB+EPwx8DftO/Ebxj4S8EWFhqviq81S78R38MZMl/OurzBXcsT0DNgDA+Y8c0v7Jfwk+GfgL9rH4ieOPBvgqx07V/FV1rE/iLULdD5l/JHq7KjOST90M2AMDk8Zr8+yvLK1HE4Ws60mnUmlHouXmu9/tW106n6vxtx9gOJ84xuNo4d0YzoU4citaT5IxvOzWkLt09JP3IaR3X1DUV9Faz2U0N8qmF4mWYP0Kkc59sVLXG/HPxhbeE/AdykkxSW+RoI2AztXGZGPsEz+Yr9Ax2Jp4PB1K9TaKb9fL57H4zQpSrVowju2eGfs96z4W139sCfw7OryP4e8J3EujSyxR7GuJpYfOwd+5Zktzb8BcbLp/m7V9S18j+C/hzr/gLT/h78aY7cw6rrGuf8JBqUU0qbhFdAxSW5JiGCljLEoHB324Bb+KvrgEEZBrwuFb0cDLCzjyzpvVf4lzJ/jb5Hfmvv11Vi7xktPlo/68wri/2kdT8eaJ+zv491n4WJO3ie08F6pN4cW1iEkpv1tJWtwin7zeaEwO5rtKK+lnHng43tc4sNWWHxMKripKLTs9nZ3s/J7M/HX/AINWtc+JN7r/AMZrG+a7m8OyJpl1cXE8eVOps9wCfMPJdo8lh7Antn9iq+Xv+Ca/wm+G3wlsvFVn8NfBllo0es2+l6pqi2at/pV5KLnzJnLEksdo9hjgCvqGvD4Zg6eSUle+/wD6Uz7bxO4lw3F3G2KzWhR9lCpyWjpf3YRjd20u7XPOfix8Nf2YPF3xb8AeK/jLo3he48Z6Le3T/DmXWbqNLxZzGpn+yIzAzMFVGIAbbtDcEA16HHbwRHdFAin1VQK/Dj/g4Z+JHx58I/8ABT34e6noPiPVNJh8P+HtNvPAV7buIlt7l7uQzTRMfl3+YiBi3ZEDfLjP6L/s4fFu18R+Prbw/wCCf2lLnxvO11FLdWUviu31FoIgSrNthAKoQxyTxkDpivPqcUYXDZlUw0qL5uZK6S12V3+m+lj0OJOBsXlXDGUZjLFqpHE0pzUG3+7tK/LHV6Pmu9vf5/U+s6KKK+uPzI+ev+CsGufEnw3/AME5Pi/rPwle7TW4vB8wSSxj3Sx2zOi3Tr3G22MzbhyoBI5Ar5K/4NbtU8f3X7InjvTNbin/AOEdtfHedAkkhAQzPaxG5VG6sBiEkdAWPqa/RT41QQ3Xwb8W21xGHjk8M36ujdGBt5ARXlf/AATy+Fvw8+DXwd1j4ffCzwjaaHotn4od7bTrINsRpLKzdzliSSWYkkk9a+fxNFviShU5n8E9OmjX/wAl+CP0TLuK8LhfDLHcPyw6dSrXp1FU00SWq73XLaPS057dfeq/Br/goN8VPjr4U/4OAodZv/H2q+Gv7P13RtN0XVo7tLT7JoM1tEs/lySfIsTLNdlmORuZz1HH7y18u/Fv4SfDTWP+ChHhj4x6t4KsbjxRpVrpun6brcqEzW9tIuol4152gEs3OM/MRnBNZ8TYeeJwlKMZuL9pDVebtfpte/yK8NuLMJwjj8bWxGHVZVsNVpJO2jkk03f7LtaXWzfo8v8AZvuPB/xU+JVleeG/jRL43n06/hub7Um8RQajLbpEsrRRO0QxHHuZyAQCSzYNfW1Njhhhz5USrnrtXFOruyfK5ZXQnCdR1HKXM299ku77dz4TGYpYqaajypK1v6sfDf8AwcRa58SdE/4Jl+IR8Pnu0trzxDptt4oktI87dNaU7g56qjTC3Ukdd208Ma+Sv+CWvjHwZ8Qf2DNC+Ffx8/aFb+y21i6srXwFqXi61t7S6sluVeKF7U4kkjeYvlSf3mdpBU4P6l/tleFPDvjr9mrxP4M8X6RFqGlarFbWuo2M+dk8L3UKuhwQcEEjgg15da/CT4Z2/wDwTfv/AIPW/gmwj8MLHfaWNFjjKwizOrSxmHg7sbCRnOe+c8185n2XVcZm03Cs4Wotu3VJ/DutGfpeVcZ4PDeHtLInh7VFi1V9qrXS5LXWz509ndK1ldbm3/wTZjjsfgn4h8O+H1K+FdI+IWr2XgtI41WCLT0dC8UBXhoI7s3cSdgI9o4UV9CV5V+xV4N8K/Dv9nTR/AvgfQrfS9H0nUNTttN0+1UiO3hXULgKi5yfxJJPUkmvVa+oyeLhlNBXv7kfyR+f59i4Y7OcRXgnaUnvu9bXl/elvL+82FeU+MfBJ1r9o/RdWOnvGII4bprmIH94IVnADE5GAZSOMH5h616tRWmOwaxsYRcrcsoy9eV3t8zgoVnQcna90194UUUV2mBy/wAadMXWPhhq1i9gLkGFHMRBP3JFfdx3Xbu/CovgX4ebwx8LdM0xxIGka4umEowwM9xJMR0HH7zj2xXW0VxfU1/aP1vm+xy2+d7m/t39W9jbre/ysFcb8e9O/tL4Z3kX2AXAint59pBJQxyq4cY7qVB/CuyorTGYf63hKlC9uZNX7XViKNT2NaM7Xs0/uOb+EHho+EPhlovh0+Zm3sV3Cb7wLZcg8DoWxXSUUVrRpqjRjTX2Ul9xM5c83LuFcJ+0Tph1L4ehhpwuDbajDOvykmMgkBxjvzj6E13dFY47C/XcHUoXtzJq/a5dCr7CtGpa9ncxPhr4eHhL4d6F4WBkP9naRbW2ZcbvkjVecAc8Vp6s97HpVzJpibrlbdzbrjq+07R+eKsUVvTgqdNQXRWIcrz5rH5d+Bfjla6Zqvwos9Z/ab1Hwxe6p8PdTvPGs7eIbWwuJ78XFoJPtLSglJReNep5Yx8ySjH7sgfY37GmmeHtcu7n4heF/Fh12y+wSWyaxHqEd0l7LLcebNI0yfLJJ5iEsQcAseBxXpfw7/Z5+CXwm8W+KvHfw4+GelaPrHjfUl1DxXqFnBiTU7kbsSyEk85dzxgZdj1Yk9kiJGuyNAoHYDFfJ5ZwxiMFiadariHJQbajrbW6vq99bvTf7z6riHPsvzKvL6nQ5Itbuyd3Jyd1HS0W+SOusYxdl8KWuf8AH3w907x/HYx3908P2K6EoKIDvX+JOemcDn2roKK+pxGHo4qi6VWN4vdfifLU6k6U1ODs0c/4/wDh9p3j+2s7a+unh+yXQlDIoO5ejJz0yO/augAAGAOBRRRDD0adadWMbSla7722+4JVJygoN6Lb5hSNuCnaOccZpaK2IPKv2ZPBI8M/27qYsJLQTSQWSWpUhI1t/NwFzzx5pHJP3R716rRRXFl2DWX4OGHUubl697tv9TfE1niKzqNWucd4+/Z9+CvxS8f+Ffin8Q/htpmr+IfBFxNP4U1a8h3S6bJKFEjRnOOdinkHBUEYIzXXR28ER3RQIp9VUCn0V1qEIttLV7+fqKpiMRWpwp1JtxgrRTbaim22kuibbdl1be7CiiiqMTN8ZWA1XwjqultZrcC502eI27ZxKGjYbTjnnOPxrjf2aPDTeH/At3dOkqHU9We62SjG0CGGAYGM4xCDz3Jr0SiuKeDU8fDFc3wxlG3q07/gbxruOHlStu07+lwr86/2sfi3qvhD4k/EW78Q/Fy88M+IIPjJ4bsNHuDfwWstrpckVhsEJlyqwvbtqLmTH3hOc5Q7f0UrjdV/Z7+CmufGrTv2jNX+Gul3HjjSdIk0vTfEssGbm3s3LFolOcYO9+cZAdgDhiDx53llbNcPCnTqcjUlK/pf8VuvNHt8OZrl+VV6s8XS9onGyVk/eUoySd/sytyytrZ6J7Pxn9k74nxeMPGKaR4O+PM/jm2glkfUZZfEcOom2R4zgM0OAgJQFQw65x1NfTFNjhhhz5USrnrtXFOrXKcvq5bh5U6lV1G3e79Erbvt3PHxeIhiailGCikrWX9I8G/4KDa5q+h/DLwk0Wp3Flot18StHg8T3MIARbQtI0KyufuRPerZxseM79vRjXyv8JPjV4J8Sal4r0PxL+1hJ/Z8HxH1G20bwvP4wsobWWBZkbyhAMO6fajOAc5fA5PFfoP8Rfh34I+LfgXVfhn8SfDVrrGg65YvZ6rpd4m6O5hcYZTjkexBBBwQQRmjwH8OvAvww8GaV8O/h/4Ws9K0TQ7CKy0nTrSELHbQRqFRF78ADk5J6kk15ebcP4nMsf7eGIdNOPLpfu9N1o/zPoMLneXYfIlhpUOaspb2XLy73vq+e/u7W5etzK+BPh1vDHwv0/T5BKGmmubt1mGGBnuJJsYwOPn49q6+iivocLQWGw0KKd+VJX9FY+Zqz9rVlPu2/vCiiitzMKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAK8jH7cX7N5/bCP7CY8aT/8ACxh4e/tc6d/Zk/2by9vmeR9p2+V9p8n9/wCRu3+V8+NvNeuV+dafCD4yj/guOxPwl8S/2D/wnJ+In/Cc/wBlv/ZH9mHwKvh37H9q+59q+3A/6Pnd5f7zGOaAP0UooooA4H9p/wDaV+FP7IHwJ8Q/tG/G3Ur208MeGLVbjVJtO02W8nCtIsahIYlZ3JZ1HAwBkkgAkdl4e13TvFHh+x8TaRIz2mo2cV1au6FS0ciB1JB5BwRxXhn/AAVT1+bQP+CcXxrWy8I+ItevNU+HGq6PpukeFdAuNTvrm7vrd7OBUt7dWkZfNnQuwBCIGc4VSa9A/ZT8X2vj39mjwH4tstC1nTI7zwnYkaf4h0iawvrcrAqlJreZVkhcFTlWAIoA7+iiigDyT4Vftu/s+/GX9o/xr+yl4L17VP8AhNPAdstzrFjqWgXVpDcQGUwPNaTTRrHdxxzDyXeIsqyfKTmvW6+Lv2YPiXefGz/grl8a/Evjv4Y+O9Bu/A3hODwZ4An1XwRe2ukX2kRXMVzqF/HqMkYt7iW4vZo0jiRyRDYb8He2PtGgAryz9r79sb4J/sO/Cc/Gr493WtQ6Cl6LeabQvDt1qcsI8uSV5pI7ZHaOGOKKSSSVgERUJJ6Z9Tr5B/4Liwx+If8Agnv4w+F8Pw6+KniPUvF9pNpnhu3+E+nz3Nymrm3lksVvVhOfsEk6RxTeYGhKybZBtYmgD620rVNO1zS7bW9Iu0uLS8t0ntZ4zlZI3UMrD2IIP41YrF+G0HiS1+HWgWvjG1t4NXj0W1XVYbRAsUdyIVEqoF4Ch9wAHGMVtUAFedfCH9qj4MfHT4rfEj4MfDXxDNfa58KNatNK8ZobR0itru4tVuUjSQjbKRGwDbc7WBU8ivRa/PL/AIIr/Cz9rv4TftI/tJaf+1L+zkPCFzrWsaJqkviOHxEL+DxDqE0d3Lc3ETLBGpDearFVZ/J3LCSSm4gH6G0UUUAeTftGftmfCb9mLxz4E+HHjzQvF+p6x8RNRmtPD1n4S8I3erMnkvbrNPcfZkb7PAhuYd0r4RQ2SRivWa+F/wDgtB4X8YanqXwf8U/A7wx8X5fizpnitIPhtrPw4gmOk2k0+o6X9ti1x4vlSyktYZCRN+5YRSZ+cIK+6KACmzTQ20L3FxKsccalnd2wFA5JJPQU6uc+MXhjV/G3wi8VeDNAmEd/q/hy+srKRmwFmlt3jQk9sMw5oA5T9lP9rz4J/tofD67+KPwG1TVL3Q7TV5bBL3U9CubEXZRUdbi3FwiGe2kR0eOdMpIrZBODj06vgX/g3m8EfH/4b/sia14D+Mml/Eiw0rRda07T/C+nfFMTDUbV4ND06HVI4BN8y2C6ml6tsB8nlj938m2vvqgArxT45/t7/BH9nb9oXwP+zZ8SdC8aprPxCvbSy8O6xp/gm9udGN1czSxRW82oJGYIZiYXYxswYIA5G0g17XXzf+1B4R8V/Fb9uz9nTwVB4b1Gfwx4Qu/EXjrX9RFlIbOK8tdPGmafC8uNglZ9WnlRCdxFszAYU0AfSFFFFAHNfGT4ueAfgF8J/Efxt+KmuDTfDfhPRbjVdcvzEz+RawRmSRgqgsx2qcKASTgDk1hfsu/tP/Cb9sH4N2Hxz+C1/qE2i313dWjQ6xpU1heWl1bTvb3FvcW86rJDLHLG6sjAEYrkf+Cl/hv4heMf+Ce/xo8J/Cjwk2veItT+G2r2ul6NHaieS8ke1dTFHG3DyFS2xe77a4D/AIIu+Etd8F/sM2ej3/gvxZoWkyeOfE114RtviBZSQeIJ9Gm1i6ls7jUll/em7kjcO7S/vGypbk0AfV9FFFAHka/tyfs3v+2G37Ci+M7j/hYqaB/azaf/AGXP9l2bBL9n+1bfJ+0+SRP5G7f5R3428165X53+MP2b/iNqH/Bfzwr8TfAc3jr/AIRa0s7jxd45t7/wYItAjvB4bl0K2nttW3/v5pFkiiayCgx/Z5ZScMlfohQAV5t8Z/2sfgz8BPil8Ofg38RdWv4de+KmuT6T4Qt7TSpp45biGHzn82VFKQKFwAXI3E4Gecek18g/8FTviavgb4i/sz2a/DTx14g8r482mr30/g/wVe6tFp9nBYXlrJLcvbRuLdfNv4MbyNyiRhkRtgA9j/Za/bi/Zw/bKvvGenfADxpPq0vgPxA2ka8LjTJ7YGQF1WeAyqouLaRopVSdMo5hkAJ2mvW6/Ov/AIIV/B74y/DzxJ48HxR+EniPwmvhDwR4Y+Hcz+INMe2TWNT0i81ya6vLQt/x8WpTULYpcLlX3sAflNfopQB//9k=", 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", 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", "info": {"equation": "14+16*7=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "a9b7b216c2326c9e8085233bcd88211e807be69ef5912be74d2ab112d01b5659"}
+{"episode": 86286, "episode_seed": 2584288277, "split": "train", "timestamp": "2025-10-28T03:51:09.244628", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2584288277, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 6, 5, 8])</answer>", "action": "('move', [4, 6, 5, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "10+20*7=150", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "10+20*7=150", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "b4430899fbcf4b8de4b6b879d0ae2c7d9cf8a5e28a501ea47426b0a815e435a6"}
+{"episode": 86287, "episode_seed": 3985554147, "split": "train", "timestamp": "2025-10-28T03:51:09.290611", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3985554147, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [3, 4, 1, 0])</answer>", "action": "('move', [3, 4, 1, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "17-9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "17-9=8", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "8dddf824c2b383b97312332ff8f0d5bb74bfd5114fb7558e53da019589481e5f"}
+{"episode": 86288, "episode_seed": 3958112123, "split": "train", "timestamp": "2025-10-28T03:51:09.357521", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3958112123, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 4, 4, 0])</answer>", "action": "('move', [1, 4, 4, 0])", "reward": 0.0, "image": 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K8MNs8QKyLE0ChCCwZkPJ5r9AP+Chvwk+G3xv+GnhX4efFnwfa67ol143ikuNOvC4R2TT75kOUZTwwB4NM8P+FvDcX/BNq88MQ6FappyfC7ULRLJIQsawC0mQRgDooT5cDtXx+Y5XXxmfV+SvKHuKWnVbcu600v8AM/Rp8fYGfhnl2QRwqVWhXlN1Va+rk049eb37PVfBGz/l8/8A+Ccfhzwt4C/aB+LfgT4MaJZad4Ii0/Qry7sNGs4o7C21+RLlLlYzGMCRrSLT3kjH3co2Bv5+wa+dP+Cd/wAIPhh8DPDvjL4e/CHwTZeH9Fh1+3nj0+wVtnmyWUJdyWJZmOBySeAB0AFfRdfQ8MwcMjoK99L/AHtv8D8/4rx1PMM9q1qd2rRjeXxS5YRjzSs3aUrXavK17c0t38df8F5vEnxY8Mf8EyfHl38JZb2KS4eztfEE2nx5kTSpZ1S5yRyqMpCOR/A7Z4JNfmV/wRK8bfELVfAPxX8Dax4lu5vDOi+Dry40TT5ZwYrK5nA+0vGOqbxFAT/DlM9d2f3s8UeGPD3jXw1qHg7xbo9vqOlatZS2epWF3GHiuYJUKSRup6qysQR6Gvk79oH4FfCH9nHwlp3wo+B3gGw8N+HrLwF4klttL05CEV5JbV3cliWZix6kk9B0AFeFxbldWonjlUtGMUnHv7y/DW/ql8vu+G+O8Dg/DvEcKywqdWtWVRVdNElFvz5lycqtpyzlqrWl6p+yF471Lx3pI1Oy8dP4l0c6XEsWsf2gt0k0qYTIlT5GY7W3Y7jkZzXtdV9JRI9Lt1jQKPITgDHYVYr6rK8FPL8GqM6jm7t3e+rv3f5n5Viq8cRWc1HlXZHM/Gm+8b6X8HPFmp/DO2ebxJb+Gb+Xw/DHCJGe+W3cwKFbhiZAgweD0r+df/gkh8W/iH4d/bnutU8R/GrVPCkfiDTtSPjfXJNZispp2w0wEs1wDh2uhGSPvE57Zr+k6uC+Fv7Ln7PXwT8ZeKfiF8KfhJo2ha142vheeKdRsbbEmoz75H3vkkD5pZGwuAS5OM15ud5LXzWvRnTrOnyX2vfXqrW16b7H6TwTx/l/CvCub5VXwiqyxkIxjLS0Wrp819bLm5o22ml3uvz9+OGjfBDV9EuPjr8NvHFn40+K9p4n0P8A4RLxV/bNtq+rjVkukSxsomBIWNwZg0CgKyNNIwJUuv6f18c/Hn4HfCHXv27tO+Nes/D7TrnxXoWseFbXR9clRjNaQveDcqDO0Z8x+cZ+Y4NfY1cvDGFnhKuKhKbm1O131st+urvr6HzfEWa08dl2Coxcm4Rk25dOblSpx1fuQULx+HWUrRW7KKKK+sPkj8RP+Dp3xD8V5P2g/hx4S1OS9XwOnhCW70hDHi2l1RrmRLo7h9+RYRaDB+6rjGN5z+qX/BObWPibr/7CXwn1f4xQ3KeI5/A9gdRF5AIpT+6AjZ1GMMYwhPAOTyAc1w//AAUi+Cfwm+Ocngrw78X/AAHYeIbGwXVb60tNQVikdwkUAWTCkZwGYYOQc8g1738Ff+SOeEuB/wAizYdB/wBO8dfL5dQcOJMZLmb0hp6r9Laep+p8S8a4POPDfKMip4ZQnhpVHKemt39nr717zvvKKevTpq8r/aj+FH7H/wAUbLwvF+1zong+7gsfEcT+E/8AhLb2KBTqTA7I4TI6+a7gf6r5g+0ZU4GPVK/Db/g6M8UfF0ftWeAfDOp3V/F4NtfBn2zw4oUrA2otcyrdurD70ioloD3UFcY3c+jnmPhl2XSrShzq6Vntq+v9b2OHwr4UxHGfGdHLqOKeGk4zl7SN+ZcsXpGzV29nqvd5n0sfuL9ktQ24W0ec9dgqSvze/Y7/AGlr7XPgn8PvEvxO/bX1C78Xah4ftG1bRtR8d2R826lj2+W8AAfcdw+XO7djvX3/APCe71y98A6fc+IWka5ZG+ebO9k3HaWzznbj61y5VxFhs3xLo0qclZXu7d0raN9z5TN8lrZPXqUqk4y5JuF4u6dm1deTtodFRRRX0J4p49/wUE8QfFbwp+xH8UvEnwPe8TxXZeCr6XRpNOj33EcgiOXiHXeqbmXHIIBGTivyd/4NZtb+J6ftO/EjQ9MS6fwjc+C4rjXpBAGiXUEu0Fnuc8q5jkvcD+IBifu1+31+xWxmZTyImI/I18j/APBMD4JfCX4J3+s2nwn8A2Ggx634O0PUNWFirZurpmugZHLEkn26DJwBk18xmlCUuIcFPma+PT0V/wAb2fkfqfDHGuDyfw4zjIqmGU54l03Gemlmvi6+7bmhbaTb06/XteH/APBSvxH8WPCP7BXxW8SfA571PE9n4Oun06XTY91xEuAJpIx1DrCZGBHIK5HIFe4VR8TFh4b1Ar1FjLj/AL4NfRV6bq0JQTtdNX7XW5+d5XjI5dmdDFygpqnOMnF7S5ZJ8r8naz8j+fH/AIIZfGDxN4M+JHjPwZqn7Q2o+CPCNxoiX1wkHiS30+KfUVmjjiOZgct5RmyF6hRu+6tfrx+ytYeFPH/jrS/FvhH4gHxRDpOo3N7e67Fq0V8bi5a1ktyJpo8qWCTL8owQFXsDnM/4Ji/Av4PfBIa/ovwm+Hem6Fa6n4W8P3+oRWUbH7Rcv9tDSMXJJOABjOB2Ar61jijiG2KNVHooxXwXD+Q1sThsPi5YiXLF8yh0vFvbW34dT9G8UON8HxZxbisfhsN7ONRRjrbmdoJXlbRt+uyXYdRRRX6EflR/NP8As+/Fz4/6V/wVr/4Tb4ofEXVfDHi3UPH19aeN9XuLuKyntIWd0uo2eUbIVWNSgHRQqhei1+kXx9sf2Y/iF4B8VfFXxH8aLfxp4p8O+FpH0HxJc+KbfUtT0GaN/NtHsfLP7iY3nk7Cq75ZBHGSwISvcPh58D/hHpP/AAUFuvjfp/w/0+LxdrHjTVbLUte2MZ57ddLlCxnJKgYjT7oBO0ZzTP8Agoj8DfhB8Svi5pfi/wAe/D3TtV1Pwp4Oe88O3d3GxNhObonzEAIUnKIRuBwVBGK/JauU11l1et7eXLGq48utm+ZLm331vt03P6A4m8SMt4k4qy/G0cM8MqVCEX7O3M3FOTgtUuS/uK70jq4v4D6p+Et54x1H4VeGdQ+Its0PiCfw/ZSa7C0YQx3jQIZlKjhSJCwwOBXQUUV+sxXLFI/A61RVasppJXbdlsr9F5IK8+/aR0gan4ItLg6YLg2Oqx3CvtJMB2SJvGPZyvPGGNeg0Vy4/CfXsFUw/Ny8yav2Kw9X2FaNS17O5y/wW8JHwP8AC3RvDLGXdBbF2E+N4aR2kIOAMYLkY9q6iiitqFJUKMaa+ykvuVjOcnObl3Plf9tjxRrOl/tTfCzRvEOuT2PhaXw/r1zZLI6x2lzrifZVjSRyRmRbOS+ZE7jzWAOwlfm/9nr47+BvFXww1G08aftoXS6TJ4o1y003RbzxvYW1vNo6388dvGYQAfKaAADkFkIOec1+g3x1/Z8+C/7TXgGT4XfHr4d6f4n0CS6iuW03UkYoJoySkilSGVhkjII4YjoSD0mjeGvD3h3R7Tw/oOiWtnY2FtHbWVpbwKkcEKKFSNVAwqqoAAHQCvlsfw3i8ZmVTEwxLgpJKyvfRWtutOvzZ9f/AG/lUcgo4VYe9aLs21HlsnOSaercpc6Uk0rKCacua0PPv2YPC40rQNX8UBpP+J5qEcy7sbCscEcQZOOQdvXn2r0+gAAYAor6LL8GsBgqeHTvyq1+58piKzxFeVS1rhXjX7VXgV/G11punDS3Y32nXemLeQKTIi3GwOg6gfcVhkfwnsDXstFZ5pgFmeClh3LlTtr6NP8AQrC4h4WuqiV7X/IZbQi3t47dSSEQKCfYYp9FFegc4UUUUAeLfEb4fHxH+0Hp0o0ySISXmm3sl1Ap/eizlWZSxORgMu04xww7kGvaaKK8/A4BYKpWmpX9pJy9LpaHRXxDrxgrW5VYKKKK9A5zyj9qPw2+uWmjzxaSZpEa4t47iNGZ4zMqLtGOPm2jqOqivRPBegp4V8HaT4Xjd2XTdMgtVaQgsRHGqZOOM8dq06K8+hgFQzCtiua7qKKt25Vb8ToqYhzw8KVvhv8AiFcJ8cf2Y/gD+0tb6LafHn4U6R4pj8O6ouo6KmqwFxa3IGN64IyCMZU5VsDIOBXd0V2zhCpFxmk12eosLisVgq6r4eo4TW0otxa6aNWa00I/slqG3C2jznrsFSUUVZgFFFFAEV6sj2cqQxq7mJgiMeGOOAfavIP2WvACeHNT1fXI7Ca0RdPtNKhtWUhI0t2mYKMjOR5u089h3r2SivPxGAWIx9HEuVvZ82nfmVvwOiniHTw86Vvitr6O4V45/wAFBtc8e+G/2LviJrfw1vNRttVg8POTd6PD5l3bWpdBdTQj/nolsZnUjJBUEcgV7HSSRxyxtFKgZWBDKwyCD2Nddem61CVNO101ftdbmuXYqGAzCjiZQU1TnGTi9pKLTs99Haz0Z+a+tfG/wZ4d/ag0nwj4R/ajfwr4dk+Foub9dI8VWdrbykXcX9mN5sm4uWglvGVQcFNr9CCfqj9kz4j3XjjVIU8N/FaXxjpNtbyw3eqNrEd8N4O4B5Yvk8wFwMcHaR6CvRPgR+y9+z5+zH4ev/CnwC+Euj+FtO1PUn1C/tdLt9qzXDKqlzuJP3VUBR8qgcAV3ccUcQ2xRqo9FGK+Sy3hfGYOdKU8U7Qd+VX5fTfr107nuZ3nOV4qq4YKj7iioqUklOXVyko3V7uySk7JJXdh1FFFfZHyx+VVx8b9W0D4Q/C/WPFHx0v/AA5491X4tSQ+M7uXUra0vYLwz3Y1mCbzci3jhjd1GANii3A++u73nwBN4E+NWtXXhbQPj1N451LULZLW4mbxRb6jc2dsXwdoiGI0yxJLDGe9fT/h79l39nvwp8cNa/aT8O/CTRrTx14isltNa8TRW/8ApN3CBGNrHOBnyYskAFti5JxXdR28ER3RQop9VUCvhafB+Ks41MU+VyvZJ2et7vXd+j17n2+ecS5Xja6qYLD8t+ZttRTUpttxjy39yHwx2bV3aN+VPooor7o+ICiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigArx/8AbN/bq/Zy/YI+H2n/ABJ/aO8UX1jY6tqhsNMtdI0a41C7uZVhknlZILdGkKRQQyzSPjaiRsxIr2Cvgf8A4LceHPiXoHiL4N/tH+D/AILeK/HukeD18a6Nrmh+C9Ek1K+SbW/DN3p9lN9njyxi+0lInfpGs+48A0AfdPhXxR4e8ceF9N8a+EdYg1HSdYsIb3S9QtX3RXNvKgkjlQ91ZGVgfQ1fryL/AIJ//Cbxn8Bv2Fvg58E/iLHs1/wn8MNC0nW4t4byru3sIYpY8jghXVlz32167QAVzPxm+L3gb4BfCrX/AIz/ABLv7i20Hw3psl9qc1pYy3MoiQZIjiiVnkcnAVVBJJAFdNXIfH74gaV8K/gn4p+Iet6JrWpWuk6JcTz2HhzRptRvpwEI2wW0CtJM5zwigk0ARfs7fHz4c/tSfA7wv+0P8Ir66ufDPi/SItS0Se9s3t5Xgk+6Xjf5kPHQ812lfIv/AAQp17Ur3/glr8KPBviD4feLfDGseD/D8eg65pPjLwvdaTdJdwKrOUiuURpIv3g2ygbWIYA5Bx9dUAFJJIkUbSyMAqgliewpaSRxHG0jAkKCSAMk0AeJfslf8FCv2Y/21/Efi3wd8DPEWsPq3gqW2/tvS/EHhu80u4+z3Ic215FHdRo01tMI5DHMoKttOO2fbq+Av+CQ/wAWdQ/ae/ag+Pf7WHxX+EHxG8HeOfFV5Y6Xpmg+Mfh7qGkWmkeFdOluYdNt4rm5iSO7uZmkuLufyyQhuEQcJk/ftABRRRQB4jdf8FCv2aNP/bHsv2FtS1nXbXx3qcUx0trrwveR6XfTw2q3ktpDftGLeW4S3ZZWiVyyqecHivbq/Pb4z6d4p+Jv/BdH4O+Kfhd8H/i5He+AbfWrL4h614l0q4/4QyPQptIcwXemyyFrcXsl3LDCXg2zFY5EkG1RX6E0AFFFFAHln7WH7ZfwC/Yq8J+HfGX7QHiqXTLTxX4xsPC+gpbWb3Et3qV45WGJUQE4+VmZuiqpJr1Ovy+/4OD/AIJftsfEnxN4C+IHwL/ZeX4m+FPCcujNZw2niYWt1pWuSeJ9Lle4+yrBLJcK1taJbmYbVtorm5lbcqstfp3p017cafBPqNmtvcPCrT26y7xE5ALKGwN2DkZwM4oAmooooA80/aw/au+Ff7GnwoHxi+L1tr1xpsmtWWk2tl4Y0CfVL+7vLuYQwQw21urSSu7sFAUE811Pwk+Jej/GT4aaJ8U/D+ia3ptlrunpd21h4k0abTr+BGHCT206rJA47o4BFeFf8FYfCHwh8ZfsofZPjj4O+LuseH7HxXpmoyH4H2txL4hsbi3lMtvdQi2/fqqTLHl4fnUlTwoYjU/4JTL+0mn/AATv+E6/teNrJ+IX/CML/bx8SNnUtvnSfZvtZ6/afs3kebnnzN+ec0AfQdFFFAFbWdY0rw9pF34g13UIbSxsbaS4vLu4kCxwxIpZ3ZjwFCgknsBXl37IP7bHwH/bk8CX3xJ/Z/v9budIsr8W63Ot+GrvTftaNGskV1bi5jQz20qMGjmTKOM4PBFXf21vhr4v+M/7G/xZ+D/w+I/t7xV8NNd0jRMvtBu7nT54YRk9Pndea+P/APg3o8NftD+Efgt438PfE3TfizY+C7G48PWngrTvjKs66pa30Wh2setxwLcfvEsF1BXWBR+6Cq3l/JigD9DaKKKACvnz4R/8FLv2efjJ+1lqn7FmieGviDpHjjTLHUb7yvFPw+1DTLO9tbK5S2nuLa5uI1juIvMkQLJGSrhgQTkV9B18ofs5+B/GfxG/4KofHz9pvxp4T1Sw0nwn4X8P/Df4f3WpafLAl7AqPq2qXNuZFAlia5u7eHzEypazIzlTQB9X0UUUAFeBfGr/AIKYfskfs/ftQ+Gf2QfiX4z1O28Y+KH09LVbXw/dXFjZPfzyW9gl3dxoYrVrmaKSOISMC7KQK99r8oP+Ckfwb+OPir/gs18P/G/h34E+OtXmj1D4dt4B1nQNCkm8My2tprV/Nr767Ko8rzba1ljltDOd0bvuh+YmgD9X6KKKAP/Z", 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", 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", "info": {"equation": "79+47=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "79+47=126", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "b4db1c163c8c7566fec0b0ae20bde880b9bfe182d45e3657c1d2748eb0e716e4"}
+{"episode": 86289, "episode_seed": 3936000139, "split": "train", "timestamp": "2025-10-28T03:51:09.420297", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3936000139, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 1, 4, 0])</answer>", "action": "('move', [0, 1, 4, 0])", "reward": 0.0, "image": 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", "info": {"equation": "59-47=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "59-47=12", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "80fc478e27e556e5d8fcaf88a1020d225b5e808502109a6270391e1d9b78032b"}
+{"episode": 86290, "episode_seed": 3256957408, "split": "train", "timestamp": "2025-10-28T03:51:09.475759", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3256957408, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [6, 1, 0, 1])</answer>", "action": "('move', [6, 1, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "80/5=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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"info": {"equation": "80/5=16", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "d25ffcda63b78b52665394457f04bfbc4a593f4c80f2c97e742550b20a1ea8c6"}
+{"episode": 86291, "episode_seed": 4278086509, "split": "train", "timestamp": "2025-10-28T03:51:09.542622", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 4278086509, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 0, 0, 1])</answer>", "action": "('move', [5, 0, 0, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "8+16*1=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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"info": {"equation": "8+16*1=24", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "d6bb3817ec509459c6d24ee9e48c2a5c478a378d493fa38b9fe5f96838f88233"}
+{"episode": 86292, "episode_seed": 2104618235, "split": "train", "timestamp": "2025-10-28T03:51:09.603344", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2104618235, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 0, 2, 7])</answer>", "action": "('move', [1, 0, 2, 7])", "reward": 0.0, "image": 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", 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83LK+ll1vaPrFeHf8FKvE3xi8G/sG/FPxP8Anvk8WWXhOeTTJdMi33MK5UTSRDrvWEysCPmBUEcgV7jQQGBVgCCOQa+or03Woypp2umrrdXW/yPy/K8ZHLszoYuVNVFTnGTjLaXLJPlfk7Wfkz+bX/gi78XfGvgH9qS68O2/xz1LwX4X1rRbiXxRdW2vQ2Mc7Qoxti8k2VLCWTAx8xDt2LV+yvwF+L7eJddh0H4d/tDXHji4ivo5pon8Twai8KthcP5GNsZCn7w/vEGvcfgX+yZ+zb+zN/bf/AAoT4N6J4W/4SO+F3rf9l2237VKN20nJOFXe+1BhV3HAGTXoMcEERzFCik9dqgV8XhOEsdRpxi8XJJO/LG9t76ar8tz9L8TPETLeOOKJ5nhcH7OLhGPvW5nZfFKyavryrV+7GPon0UUV9yfkx+aX/Bz14p+MuifsdeFdD8Dy38XhPV/Fvk+NpLOP924SPzLSKZhyIzKrMAflLxpnkKD8x/8ABEb47eI9P+A3iTwX8Q/2r9W8IaDoutRJ4U0r/hL7WwjXzVkluvLSYFiu9o2OPlDO2OS1fs58d/CHwX8efCHX/Cn7RFhotz4Ku7E/8JFH4hnSKyECsH3yu7KIwrKrB8jaVBBBANQfAPwJ8B/Avwg0Lwt+znpGgQeCra0J8Pp4dlSazaJnZy8cilhIGdmYtuOSSSSa+SzLh/E47NniKeJdO8UtL3Vu2q0e/qfsOF8RMDh/CX/ViWA5p+25/a2XLvzXva/tbe5/1769D4FsPBPwO8H/ABv+D/xL/Zrn0zUvH2sfF2FJPEekXUOo6hrtlcu4157ucFmmjW1MsjueIXWILs3BW/S6viL4J/AL4L+Ff25Yfjf4d+G+m2ni7W/iX4nt9U1+NGM88Qj1UbOSQo/dR52gZ2DOa+3afCNCVDCVk5N/vJLXysr/AD6nx3Fua08x+qwjKU3CnrKfxNybfKtZe5D7N3dtylaN+VFFFFfWHx58m/8ABb7xP8YvCX/BNH4jar8FJb+LUGtbeDVp9Nj3SxaXJOiXjZHKr5JcMw5VCx4AJH5+f8Gr+tfFaP48/Ezw7psF03geXwnBcaxILYGFNUW5RbQGTqrmF7zCj7wUk/dFfsD+0hBDc/s7+Pba4jDxyeC9UV0YcMDaSgg14X/wTj+Bfwg+AHifxt4R+DHw+0/w7ptzo2h3dza2CtiWdpNSUyMzszMcKo5PAHFfJ5hh5PirCT5nrGWn+FN/jfU/XuH+O8DlfhTmfDs8IpVK9SMlU0sk+X4ut4ct4W6ye1tfqiiiivrD8hPH9U+Df7El5+17ZfFPV/D3ghvjUmj5sZ5r6EaybMRvF5q25fcyiPzE83YSFBXdgYHri2tqjBktowR0IQV/MX+0j8Y/2qdB/wCCoXin4neIPF+taN8SdO+Is8FrfvItvPZIspggjTd8iRC3KIoPyGM85Ukn9nPBPx08JnxNHYaD+2ddeIbu8DW9vpNx49s7rzmb+5HGA5fjjac9a+Fhxlg6EqsZUGnzPa2vnLaz77n7R4i+GmYcLUMsnVx6xCrUU1dt8lrPlhq/3fve49L+9oj7corF+Hlzrd54J0268RB/tj24MxkGGPJwWB6EjBPvW1X2tCqq9CNRK3Mk7PdXV9T8aqQ9nNx7Ox5L+3l4g+LnhX9jL4m+JPgOLz/hL7LwZfTaC2nQ+ZcJOIid0S93UbiuATkDAJwK/n8/4I8/FHxh4I/bMtzbfGO98I6RrWj3sfivWIdZhszLCsTSxq804IGbhYenzE+xNf0u1518FP2Sf2a/2ctY8Q6/8Dvgzonhq88V3guvEE+m2203kgZ2GckhVDSOQi4UbjgCvn87yLEZri6VWnW5OS/e681ZrXo9Vofq/BXiNl3C3BObZJXwaqzxaSjLSy0t799bQ+OnZO077XufCfxq8I/sX/GLwf4t8d/GH4qaT49u9O8JyRT+Ida8UW2p3miWiszxm12nFu3nlSpVQ0khVCWBC194/sn6v8Ttf/Zf+HeufGuC5i8YXngnTJvFEd7bCGZb9rWMziSMABH8wtlQBg5FfMv/AAUj/Z/+CnxY+K1x4p+JPw00zWtQ8L/DSS60C4vY2P2Kbzrpt6qCFY7o0PzAj5RxX2rYktZQsxJJiXJP0rh4bwdTB5rjKc6jm48ibfW6bu9Xqttz5nO84pYvhzCYZczalKXvWtTS91Qp6t2lo56R1UUo+7dy1+dX/BzD4n+MWgfsH6Zp3w9lv4vD2q+MLe28by2UeVNp5bvCkzDlY2uFi9iwRSeQD+iteRft1+EvDfjz9l3xD4K8Y6PFqGlareaVa6jYz52TwvqdqrocEHBBI4INfQ5zSdbKq8E7e6/wV/x2OTgjPKPDfF2CzOtSVWNKpGTi+qv0vpzLeP8AeSPx+/4IZ/GbWvD3wt8beDfGX7Tl/wCCvDtnrFrPoNhD4ptNOSW5ljk+1OBKCznbHbZP3R25Jr6n1bwZ8DfDHxI+Gvxe/ZzvtN1j4l6n8YrH7H4p0y9h1PVNaFzOia0txOCxliXTnuHk/hgVEKiPPP1r/wAE9PhT8N/hD8NvFfw9+GXguw0XRNP8at9j06ziwke/TdPdjliSSWZiSSTk15F4A+AfwZ0T9vCP49aT8ONNg8Zaj8UtWtL3xCqMbiSAWV6uzltqjbGgJUAkLyeTn89hlVenhsDXlXk1OcEo62jfXTV7eiP0POeOsDm/GmZ5rToyowmpNQja1S0VFRq6pcs9ZVLc922kteZfb9FFFfqh+JhWF8UNHXxD8ONd0CTTEvUvtJnt5bRwcTI8ZVl45OVJHFbtFZ1qftaUoXtdNX9SoS5JqXY8m/Zg8GyaVLr3jaYTq2rfZbYLIuFK2/nHcvGeszAnp8vbBr1miiuXLcEsuwMMMpX5VvtfW5ria7xNeVRq1woooruMDzj9pjR/7U8I6ddtpa3A0/VhcpLglrdzDLFvGPVZXUk8fPWx8CPBzeA/hXpnh1/ODb7m6dZwA6tcXElwVIAGMGUgDqAOea6+ivNp5coZrPG8zblFRt2s7/18zpliXLCqhbZ3uFFFFekcwUUUUAFFFFAH5pf8HPXin4y6J+x14V0PwPLfxeE9X8W+T42ks4/3bhI/MtIpmHIjMqswB+UvGmeQoPzH/wAERvjt4j0/4DeJPBfxD/av1bwhoOi61EnhTSv+EvtbCNfNWSW68tJgWK72jY4+UM7Y5LV+1PxT+Ffw7+N3w/1T4VfFnwhZ694d1q3EOqaTfx7orhAwYA4wQQyqwIIIKggggGovhV8HPhd8D/h/pvwr+EvgbT9B8PaPE0em6VYw4igVnZ2xnJJLMzEkkksSSSa+UzLh3F47NHiqeIdNOKWl7q3RarR7779D9ewviTlmH8Kf9VJYJSq+29p7TS1r83Ntf2n/AC72t7Pr0PAv2WNB8K+N/GGg+LfBni7+3rDRb+9v5NatdSjvFurqWG4ilaWZMqzs1zIxAwdw6AAivqKkSOOJdsaBR6KMUterk+V/2ThXRc3NuTk21bV28327n5ZjMV9bqqfLaytYKKKK9Y5DH+IWlLrvgLWtDk05LxL3SriCS0kztmV42VkOOeQSOPWvOv2XvBj6Vf6/4zlinjOoW9lYqki4XbbNctkcZzm4YHnHygcEGvXaK82vlyrZnSxjl/DUlbvzaf18jphiXDCzo2+JrX0CiiivSOY87v8A9kz9m7U/2gLf9qjUPg5os3xCtbP7Lb+KntyblIvLaL12lvLZk3kbtp25wAK9AW1tUYMltGCOhCCpKKiFOnTvypK7u7dX3fmdOIxmLxagq9SU+SKjHmbfLFbRV9oq7slogoooqzmCiiigDwz9qT4d/wDCb+J00xdJkDa5oTaS19bKTIUdpMpk5UbfMZhx3JOQK9xgiEMCQg5CIF59hTqK83B5dHCYyviOa7qtO3ayt8zprYl1qNOna3Lf53CvmL/gpR4l1/QB8JrW91u603wZe/EiJPGF3EQkBZLSeXT4rmQkeXC98luOSAziNSfmAP07WH8Svhr4D+MXgPVfhh8T/Ctprfh/W7NrXVdKv490VxE3VSOoOQCCMEEAgggGtcyws8dgalCMuVyVr/107+R2ZJjsPl2aU69eHNBXTWjdpRcbxvpzRvzRvpzJH52eGfj5o1r+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", 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", "info": {"equation": "11+37=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "11+37=48", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "12c966314d9194fddfadfab8e904fb983d5b26b51a976d511db9415bffad1cce"}
+{"episode": 86293, "episode_seed": 1896177249, "split": "train", "timestamp": "2025-10-28T03:51:09.667868", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1896177249, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [4, 6, 3, 1])</answer>", "action": "('move', [4, 6, 3, 1])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "42+90=132", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "42+90=132", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "42f49367f52b549aec477cded6c031196704b2f99e728f3544cc39fa1801c63e"}
+{"episode": 86294, "episode_seed": 3823737734, "split": "train", "timestamp": "2025-10-28T03:51:09.737327", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3823737734, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 4, 4, 8])</answer>", "action": "('move', [1, 4, 4, 8])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "15+8*5=55", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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", "info": {"equation": "15+8*5=55", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "f9c41d6271ff6f4388dbe76148b3422fde54b4a9ca2b68491192f67d8bbca4c6"}
+{"episode": 86295, "episode_seed": 2595016987, "split": "train", "timestamp": "2025-10-28T03:51:09.792222", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2595016987, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 7, 3, 8])</answer>", "action": "('move', [1, 7, 3, 8])", "reward": 0.0, "image": 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", 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", "info": {"equation": "1-8*0=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "1-8*0=1", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "1c16efc8c93a1ac647caab64cc273b3737031c302bed03248080e025b64c01f5"}
+{"episode": 86296, "episode_seed": 1288405144, "split": "train", "timestamp": "2025-10-28T03:51:09.847066", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 1288405144, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 5, 5, 5])</answer>", "action": "('move', [1, 5, 5, 5])", "reward": 0.0, "image": 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", 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", "info": {"equation": "13*7=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", "info": {"equation": "13*7=91", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "7879bab31af4e7c192618c331ff83b33e42948400749911d83e4bb69ad723b15"}
+{"episode": 86297, "episode_seed": 3673141742, "split": "train", "timestamp": "2025-10-28T03:51:09.900098", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 3673141742, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [0, 0, 1, 4])</answer>", "action": "('move', [0, 0, 1, 4])", "reward": 0.0, "image": 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", 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T7CKNYorGFVVQFVYgAAOgFSoiRrtjQKB0AGK87B8N4zD4qnVnjJyUXezvZ+XxP8tj5XO+IMPm+PxOJp4WNJVpykoxtaPNJuy0WivZbbC0UUV9YfMhRRRQB/P9/wAHKHi3446p+36fCXxAl1FPB+leHrOTwBbzRbLVopYIzdzRY4dzcrIjsfmxEinhVr9QP+CEmvfGLxB/wTO8BT/GSC7WW2W4tvDj3tsInk0eN9towAALJsGEYjLIqnkYJ0/+Ch37P3wW/aG+LHw58O/G34c6f4ksdP0PXbmyttQ37YpjcaUpcbGU/dJGDkc9K9g/YwtbWw/ZT8A2FjbRwwQeGreOCGFAqRoq4VVUcAAAAAcACvjMsw0qXFmLbm3on/4FZ2+WyP2vizxEy/PfCvKuH6WDUKmHfvT0t7qlG8ba3qX5ql7e9/Ne69Oooor7M/FD+Yz/AIKwfED9oXUf+CkfxI134x6rq9nr2heL54PDLz7oJLLS4Z2bTmt9uNieSY5VZfvM5fO5ia/Uf9n79oKLxr+zz4R1T45ft1akviLVfDFtJ4n0+5+IWnwgzyRAyxvEANmckFeCMkcGu1/4KE/s5fAv4rfHTx38S/iT8LtL1rXfDfw2sm0LUr+Nma0KpqUilV3BWw4DfMDyK+7bC0tGsYWa2jJMK5JQegr82wWS4rF5pi4U8TKHLJXtf3r3evvLY/d/EDxNyvibhXKMBSwEYSw8LN+7ZNRjHlp2Tag7czTtrZa2u/DP2VvB2k6j4wt/iZoMwfTbLwxJp2mS2kivazQ3ElrKCjjO/C2yYIOMNznINe+0iqqDaqgAdABS19tlGWrKsDHDKXNa+trbu+2p+JYzEvF13UatcK534t+F/hj41+GGv+FvjTp2lXfhK80mdPEcOtsq2n2PYTK0rOQEVVBYuSNu3dkYzXRV+cf/AAcyeLvjl4b/AGJtF0z4bT6jB4X1bxQtt49nsI/lNvs3W8UzjlInmAz2Zgik8gHXMsVHBYCpXlHmUVt3/wCB38j3uCchrcT8WYPK6Vb2Mqs0lP8Altrdbe9p7qurysrrc+0P2U/hj+yj8NfhDBoH7H+keFIvBkt9PcQv4TvI7u0muSwWVzMjv5j5UKSWJAQLwFAHpMcEERzFCik9SqgV/Pj/AMENfjd448J+LvF/w71z9o/VPBXgYaV/aAt4vE1vp8EmqtLDGrKZwcuYVkyE6hF3dFr9Uvg/8Zh4gum8P/Dr9o668a3kdwtwYh4ng1GaLOEAIg5EZ9GGMk18nh+NMFHDxj7CSeitFK3y/TTyPqfETgPG8McX4nA1cX7dpqXtJN875kpe/e/va66vv1sfX9FMgMzQI1woEhQeYF6A45xT6+5Turn5cFfylfHv4qftNt+2Pr3xW+K+tavZ/FTT/Gf2m6ubyMR3NjqNvMPKVUOVQRGONUUfIFRQPlAr+rWvMtW/Y0/Zb179oK1/aq1j4H6DcfEKzRVt/FMtsTcLtiMSsRnazrGdocqWAC4I2jHz/EGS1s4hSVOpy8rv9/X1XT1eqP2Dwj8S8t8Oa+OnjMH7f29NRW101f3Xf/l3O/v2u/dj7rPjS98f/B/4o/C6Dwb8cf20JtastV0m3TxPoGpfE2zW2u2KI00EwhKExlwysgYBlypyCQek/Yx8K+Dvhf8A8FFL3wd+zX4fsNL8P6n8NHufilpXh2whSwtb2K4iXR5JPLGILiSKS+wg2740DlTnefp/9tfw/omt/sj/ABG0XVtKgntLzwjewXUDxjbJG8RVlOOxUkfjXlH/AAT2+A/wc/Z7+Kfjzwd8E/h3p3hvTLnw/ot1c2unI2JZjc6ou9mdmZjtVQMngDjFfOwyrEYHiTCwqYiVRtSd3e+iemrej6ngYLiDDw4fxseWS504qkreyvOyc5a/FCycEoP3oxbkuWz+rKKKK/Qz8+CiiigD53sfhV/bPxuhsTpEtill4vfXZhbKQhkE0kxclgfld2JPqScYr6IoorysqyuOVwqRU3Lnk5a+fT/gnVi8U8VKLatZJBXh3/BSbxJ8VPCH7D3xC8RfBm81a11220qHN5oNv5t7aWLXUK308C4J82OzNxIpALKUBAJAr3Gjr1r0K9J1qE6aduZNXW6urXXoaZXjI5dmdDFypqoqc4ycXtLlknyvfR2s9HofmJ8ffjL4L8A+I/gZpXwe/aBj8Nw32urbJdaJr9pGJfDP2OQTyNNIWCRboLcLID8zqVBJ4r1Hw38Rfhj4u8U6faf8NTHxnqMUkjaRpmoeNrS+aOUxOrSRRRYYv5TSLnnCs3HcfTnwN/Yy/ZY/Zp8Qa74q+A/wN0DwxqHiVw2tXWmWpVrjDs4UZJEabnY7E2r04+UY9KW1tUYMltGCOhCCvhqPB2NWG9lLFtJ3vFJuP/pSv56H02b8QZPUrU44Gg3GC+OajGcm23qo8yXLflXvO6V9L8q4z9njwS3gH4XW2jyCcPdahfahIlyAGRrq6luCuMDABkwAecYzk129FFfb4WgsLhoUU7qKS+5WPj6tR1aspvq2wooorczCiiigAooooAKKKKAPIf2mNClutf0HxFHoglktLe4tre7RGZ1854WeLjjDGGIjuSvFdt8E/BKfDj4SeHvA0ckzDTNKihzcEb+BznAAzz6V1FFeVh8rjh80rY3nbdRJW7WXf5HVUxTqYWFG3w319Qooor1TlPzcf4laWtp+0Vqv7S3xEudN1uz8Za7aeIk1aaKCbS9ECtDpC20TYHkyWbRSQnBE088vLOSBH+zX+0jN4g+AvgnxR8YP28tUg8VXnh2zufEFrcfELT4St0yBnV4gvyc9V4xyOK+2fij+xl+yz8a/ivoXxy+K/wADtB13xb4a8r+xNcv7YtNb+VKZYhwQHCSEsocMFJJGM16UbO0JybWP/vgV8PHhTHLE1akcW4KTvpe7/wAWq1XzPvc34myTF4SMcPhf3knGUuZRUYcseXkpWu+RtuTuovSEbNxcpeXfs2+L/EfjIXusy602p6TdQJcWt+J/NikZ/mBicZVlZTn5TjG3HXn1WkVVQbVUADoAKWvqcswU8vwcaEqjm1fV+bv3f5nxWKrxxFZ1FHlv0Csb4hfD3wT8WPA+q/DX4keGLTWtB1uye01XS7+LfFcwuMMrD9QRgggEEEA1s0V3SipJpq6ZlTqVKNRVKbakndNaNNbNPo0cT8C/2cfgb+zP4DX4Y/Aj4ZaX4Z0JbuS6OnadCdrzyY3yMzEs7EKoySThVHQADs44IIjmKFFJ6lVAp9FKEIU4KMFZLoti8TicRjK8q+Im5zk7uUm2231berfmwoooqjEKKKKAOa+Megp4o+Fuu+HZtHTUI73TpIZbNwxEqMMMMLyTtzgDviuD/Zi8FSWXiHX/AIiTidX1KxstPVZAAjLbyXUm5eMk5uWBOcfKBwQa9hory62WRrZrSxrm/cTVujvfW/z/ACOqGKcMJKhb4mncKKKK9Q5QooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKg1W0l1DTLmwhuWheeB40mTrGWUgMPcZzQB88fs7/APBV39iL9qX9oTU/2Zfg38Tru+8S2C3zWMl1oV1bWGtrZTeTeHTruVBDeiCQ7ZPKZtvJ5AJr6Or8VP8Aglb+zf8AtM2H7RP7IX7PHjH9m/xx4UvP2SbL4kR/FDxdrfh+W20i/bVbmZbFdOvG+S/FwJVlbyydoB3dK/augAooooAK8N/bZ/4KJ/swf8E/NK8Oat+0l4i1eyTxVqf2HSI9H8PXN+xffFGXkMKMsMYeaFd7lQWkUDJOK9yr8+/+Dj/xbq0v7BsXwU8H/CPx/wCLvEHivxdo15ptt4H8DX2sLDDp2rWN1cm4e1jcW/7oMU348wqwXODgA/QNWDKGHQjIpa5r4O/E3RfjN8L9D+KfhzRdb02x13T0urWx8SaLNp1/AjdFntp1WSF+OUcAiuloAKKKKAKHirxPofgnwvqXjPxPfi10zSLCa91G6ZGYQwRIZJHwoJOFUnABPHArw/8AZA/4KZfspftveOPEnww+CuveILbxN4Vs4L7VfDvi7wlfaNe/YZziG8jhvIo2kgfjEgGPmX1GfavHPimDwN4J1jxtdaRf6hFo+lXF9JYaVaNPdXKxRtIYoYl5kkYLtVByzEAda/OX/gjN8UdY/ar/AGy/ix+2t+0Z8G/ib4P+LPjPQE03R/DXij4ZanpOleFfCVldgWunpfXUKRXt7LJKLiUqe5CKFRqAP0vooooAKKKKAPnf9s3/AIKi/smfsE69ZaH+0Xq3imzS4s4ry/1XRvBOoajYaPayz+RHPfXVvC0VojSAqvmMCdpwK+gdN1Kw1nTrfV9Lu0ntbqBJraeM5WSNgGVge4IINfmV/wAHF9hcfHP4XRfs3+B/gV+0Hr3xIisre/8AhlL8PdFu7jwnrF/NfQZttY2E2kqQ/ZUcpeqFVZSYydzV+knw9i8TweANDg8a29rFrKaPbLq8VkoEKXQiXzVjA4CB9wGO2KANiiiigAoJCgsxAAHJNFeJ/wDBRvwh+0t8Qv2I/iL8P/2QooX+IWvaA2naH52qJYlVnkSK4ZLhwVglFu0xSQg7X2nBxigBf2Nf+Cgv7L/7fMXje7/Zh8a3Gu2vw/8AFk3h3X719Okhha8jGSYHcATRkciReCCCOte11+ZX/Bvr8LP2kvgn8W/2mfAfxW/Yl/4VB4Xk8e6fL4etV8Rm+t42h0y2tRaWsn2aEXsKxRI5vE+VnZk27lJP6a0AFFFFABXzn8Sv+CoH7Ovwz/aqm/Y4ufCHxK13xlZvpQ1U+EvhtqWq2GmLqJItZLq6tomitkYByXkIAEbknCnH0ZX5Lf8ABVDwB8QtK/btfx/+wp4E/aZ0v9onXvF/hCCHW9BtbuPwBq2i2wUTm/li/wBEkhjglukdbk+Ysmdg2tkgH600UUUAFFFFAHIfHz49fCX9mD4O6/8AHz46+NLXw94T8MWBu9Z1a7yUhjyFAAUFnZmZUVVBZmYAAkiuf/ZS/a4+E37ZHw8n+JHwks/Etna2l+bO8sPF3hS80a+gk8tJFLW93Gkmxo5EdXAKsGBBr53/AODgn9nb4xftMf8ABMvxP4J+B2g6xq2t6V4j0PXZNI8OjdqF5aWWoQzzrbL/ABzrGrSIn8TRgAEkCqP/AAQ2t/2g4/h18WLn4iT/ABYb4bz/ABOmb4KD44PdN4lGjfZovNNx9s/0kRG583yxL82A2PlxQB9y0UUUAf/Z", "info": {"equation": "16-12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", "info": {"equation": "16-12=4", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "737f64226b515a5e05c91d25eda7a7f63f3d6d544753c90c806bb55f70e8c0b2"}
+{"episode": 86298, "episode_seed": 2735949830, "split": "train", "timestamp": "2025-10-28T03:51:09.945640", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2735949830, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [5, 6, 1, 8])</answer>", "action": "('move', [5, 6, 1, 8])", "reward": 0.0, "image": 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", "info": {"equation": "0*11=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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eOwjihiABO+SR0iTtl89K8HiLMKGCy6UJpSlUTjGPdvT7lf8AJdTvy7D1K+JTWijq32PB/wBob4h+FrjxFpPwY8TS3Ufhy8urK5+KGqWSxMNL0KW48kLKXmjMS3EwWN3AYpbi4fHyg1+gelabpejaXbaRolhb2llaW6Q2draRLHFDEqhURFUAKoUAADgAACvl7QP2RL74Y/BibxF4/jttW8UeJ5GvPiSzFJoJ5pYliFvHiNA1vDEqwKCoyi7iCWYnt/2HdQ8VeGPh+/wR8X6gb6LwufI8LarJco8tzpIJW3hlARCJoECxMcMHUI+8szhfB4ZbyfFyy/ExUZzSkn302+WvzTPQzNLGUViKTvFXTXbz/ryPcqKKK+8PACiiigBspcRMYx8207frX8nP7WHjX9oPx5+0Z4t8TftTT6p/wnz6xJH4ii1aLypraZDtEITpGiKAqKvyhQu3jBr+sivzu/bG/Za/Z2+Knx2+NXxb+I/wh0fWvEejRxLpmq38bu0Ai8PWcsY27tjbXZmG5TyfpXxPHFBzwFOrzNcsrW6O63+VtPVn7h4IeImX8AZpi5YrC+1VaCSlG3PFxb91N/Znf3vOMXZ2PqD/AIJr+JPjp4u/YU+GXiP9pO1vIfGl14bVtXXUbQQXDKJHEDyxgDa7W4hZsgHLEkA5A9xrI+HzM3gLQ2ZiSdItiST1/dLWvX2GHpulQhBu9kld7uy3Z+O5pjI5hmVfFRpqmqk5SUI6RjzSb5Y+Ub2XkgooorY4Qr8Wv+DpXxp+0LD8U/APgCaXU4fhXP4fF7arHDts7rXVnuEmEjj78kdv9nKq33RK5X7zY/aWvnD/AIKWfC/4ffGX4deBPh18UvCltreh3/xGi+2abdlhHLs0rUpEyVIYYZVPBHSvC4louvktZKTVlfTrbWz8mfoHhfxVheDeNcNmmIoKtCN01pdcytzRvpzR6XtfVXV7r8+f+DV/xL8dX8T/ABL8ILbXr/DNNPiu3me0H2ePXS8SKqSnne1sGLIMjCRk4yu79la+Zf8AgnB8LPhz8F4/iL8O/hR4NsdB0Sz8Q2L22m6fGVjVn023Z2OSSzEnJZiT05wBX01S4YpunkdG7vdX9LvYnxO4mw3F/G2KzTD0FRhNpKOl3ZJc0rac0t3b0u7XZRRXE/tKap8UND/Z28ea18ELKS58Z2ng3U5vCVvFbrK0uprayNbKEb5XJlCAKeDnBr3Jy5IOVr2PiMLQeKxMKKaTk0rt2Su7Xb6JdX2PNbP9nr/gm3F+2PN8RrHwr8Nx8bvtDXk0aanAdXWY2wLTmz8zIkMJ3mTy9xDb85JY++fY7P8A59Y/+/Yr+SWP4s/Gzw/8bm+Mv/Cba7a+P7bX21CTXZJ3XUE1ESFmkZm+bzN+QQfcEY4r9zfhn8fdN1D4aeHb74hft86pb+IJ9As5Neg/4WTpyeVetAhnXaqkLiQuMDgYwK+DwfGeChz82Hcbtv3UtfN7a9z938WPCfMuDoYGpVzL6zzw5Fzt3hyW0gm5fu/e93a3bU/RBESNdsaBQOgAxS14V+zx8RvEfj/xFa63oPi86/o13CTNfwXi3Fu6qCodXQlM7lI+U8kN3HHutfVZRmlPN8K68IOKu1r5df663R+F4vCywlXkbT0voFFFFeocp8IePPGPie7/AOClPxH8PfGLxFeWv9n+H9Lh+Eek37LDa3GkS2sc2o3FoMj7RMb2J1lblkSCMHaoBPaf8EufHvjHxx43+N8ml6/cax8NIfG1tJ4E1doojbS3ctuW1WO1nj/4+IEuQuGyyhncBidwWf8A4KQfAf4PftB/FD4aeEfjV8P7LxFplro3iG7t7S+MgWOcSaWgcFGU52uwxnHPTpXf/wDBPDwl4Y8BfAG78E+CtBtdL0jSfGut2um6dZRBIreFb2QKigdB+pJJOSSa+DwGFlT40re+3aLl63t7vor6eiP0TMs4yfEcLpwoWrzhTpNcseSHs+W9SDT5nOp7Nc14q3PU96XNp+Bn/BZbxp+0L4t/4KIfEa0/aFl1NZtI8QXVl4TtL+Hy44NCWeQ2JgUfL5bwlZNw++zszfMTj9lv+CA3iX46+Jv+CbXheX44216i2WoXFp4Nlv7QRPNoUaxC2YYALoG81UdhlkRcZXDFv7bf7MfwA/aJ/bCjm+OHwq0zxK2j/D7STph1HzP3Hmahqe/ARlBDbEyGyPl9zXv/AOw9b29p+yL8PbS0t44oYfDNvHDDEgVI0UEKqgcAAAAAcACjI8LKjxRik5t8q+/maevofdcf+KGWcUeG2W5LRwKpVKXLeWnLHki4/u7arn3le1tve+Jeq0UUV94fgJ8TftmeMPE9p/wUU8D+FfiV4hvNO8DJ8P5LvwHDOyw6fqPih7qa3ukaQkebcpZPCIoiScTylVJLEeI2n7QmnWf7efjLwboX7WV14b8JweCbObxBDp/iixsraPxCs4gWJZHBZ5Bax4kQE7GTDBTgH9GPjj8Avg1+0r8P5/hZ8d/h3pvifQLi4ink03U4iyiWNtySKwIZGHI3KQcMw6MQXfBr4D/Bz9nr4fWfwr+Cvw60zw54fsXke20zToMIruxZ3JOWZiSSWYk9OeBXxuN4YxmKzaeKhiHBNdL8y8lqtPn5W6n39PifIoZHGlLDOVdQ9na0fZ2vf2t/i9o9Vy8vxPn57e4fInhDx18LvF/jK2ltf2kU8b63FaTw6ZBf+MbW/mt4nKPOIY4sEBvJjLHB4iHTBz9Vfs2/D9/h38N3sJRcLLqWs32qTR3IAaN7idpSuMDAG7gHn1ru0traNt0duin1CAU+u3KeH55bjZYqpXdSTVtV6dbu+ysfJ4vMViaCpRgopO+n/DIKKKK+lPMGzQxXEL286BkkUq6nuCMEVxHg74F6H4Q8T/8ACRx6pNcCIk2cEkYHlEggkkfePPHAx713NFcmIwGDxdWnVqwTlB3i+z/rubU8RWpQlGDspblXXNHs/EGkXOiX6kw3ULRyY6gEdR7jrXMfDr4PaX8P9Sn1dNUkvJ5FMcTPGFEcZIOOCcnjk8D2FdjRRVwGDr4mGIqQTnDZ9v689ghXrU6Tpxej3QUUUV1mIUUUUAFfNnx3+GEnibx14o0GHQJLeXxfE0NxcWcbFrndaJbeaCcjcsSoDxgbBkda+k6K8jOspjnGGjRc3FKSeive19PxOzBYt4Oq5qN9LFTQNLTRNBstFjdmWztI4FZiMkIoXJx9Kt0UV6yVlY4wooopgFea/tN+HRr3hTS7qTRFuxpWri9im2sWtZBBLEJBj/YlkUk8APXpVFceYYT6/gp4fm5eZWubYet7CtGpa9jyv9l34fv4VsvEPi+YXCyeJdSguDHMAFCxW0UClBgHBCZyc5zkcV6pRRRl+DjgMFDDp35Va/cMRWeIrSqNWuFFFFdhieS2/wCwj+x9aftAv+1Pbfs+eHE+IEl010/iUWp877Q0fltNtz5YkK5y4XcSS2dxJr1b7HZ/8+sf/fsVJRWdOlSpX5IpXd3ZWu+78zrxeYY/HuDxVWVTkiox5pOXLFbRV27RXRLRCIiRrtjQKB0AGKWiitDkCiiigD4Q8eeMvE13/wAFKviP4d+MfiO8tf7P8P6XD8I9J1B1htbnSJbWObUbi0GR9omN7E6yt8zIkEYO1QCfH/gF+0jo+q/HH4x6Zb/to3uj+CLLxTat4SjtPGNhZWz3M0DS6l5BIJniE7IRJkr8xwTyB+hn7RH7J37OX7WegWHhj9oz4RaR4sstKuzdabHqUbbraUqUYo6FXUMDyoOG2qSCVXHU+BPhz4D+GPgzTPh58PvCVhpGh6LZJaaXpljbqkVtCgwqKB/PqTknJNfE1+FcbVzOriYYlwUtU1fm16brRdNe2h+g1+KMink6hHDXrunTptNRVOHs+S9SD1k51ORc14q3PU96XNp8e/DXxV8PfF3iq6vfCnxrTx1r8trDHPPJ4lg1K7S2jkcxxgQ8rGJJnI+X70p55Ar6w+BfgGP4XfB7w58PopZnGk6VFBuuCC5wM/NgAZ59K6mO3giO6KBFPqqgU+vUybIZZViKledZ1JTSV2vz1dz4/GY9YqnGEYKKX9dkFFFFfRHnBRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABRRRQAUUUUAfOn7aX/BVH9jb9gjxTpfgX4/+NNX/ALd1TSZ9WXRvDPhm81a5tNMhOJtQuUtY3NvbIcgyvheD6GvcPhr8SfAfxj+H2i/Fb4XeKrPXPDniLTIdQ0TWNPl3w3ltKgeORD6FSOvI6EA1+XX/AAUl8MfGX9mX/gqR8Rf2s7n9mfx/8RvB3xa/ZI1D4deGpvAHhabWJLLX/tJkS0uo4QTbwSjB85vkBY56Gvsb/gjb+zt8U/2UP+CYnwb+APxssWs/FWgeEUXWtPeUO1lLLLJP9nJUkFoxIEOCQCpAoA+mqKKKACiiigDlfjd8aPh7+zx8Kdb+NPxV1aay8P8Ah+0+0ajcW1jLcyhSyoqpFCrSSOzMqhVUklhXHfsV/ts/Aj9v34Lf8L8/Z11LVbnw8NZu9KdtZ0eawuEurZgsyNDMA67WOOR1z6V2fxq+LGg/Av4W6z8WvE+ga/qlhodqLi50/wAL6DPqeoTLvVcQ2turSzNlgdqqTgE9Aa/Pr/g2o8e6xo37NvjD9nrx38EviX4R8Q23xG8Q+J8+Nfh5qOk2s9hfX5a38qe5iRJJSpBaNSWUdRQB+ltFFFABRRRQAV8sX3/BZX9hHR/2ktO/Zf8AEfjbxHpGtax4ok8N6NruseCNStdD1DV438t7KDUZYVt5ZRJ8nysRu4zX1PX5B/tMftHX/wC3Z/wVO8M/DH9p/wDZu+Nnhv4JfAn4h2914KsdL+DGsXq+OfFEUzQx6lc3sVuYrXTIG+ZMN+9Vt7MFYhQD9fKKKKACiiigArxv9r39un4HfsTaNpmq/F+x8XahLrH2hrHTPBfgq/1u7MUCB553is4nMcUaspaR9qjI5r2Svjz/AILD+OPhavwVtfg38ZPhn+0bqOjeIobq5t9e/Z50/UZbq3u4YjGlpcvpzeaqTCdiEkUwOY/nI2igD6A/ZW/ao+Bv7afwL0P9o/8AZy8apr/hLxBHI2nagtu8Lbo5GjkjeOQBkdHVlZSOCK9Dr4z/AOCAfwu/aK+DH/BK74b/AA1/ac+Hf/CK+INLS9Sy0SfT4rW6g003UjWhuo4gFW4aMhnJG4k5b5ia+zKACiiigAoory/9tax/aP1X9kz4haT+yC1mvxNvPC11b+CZb+5WGKK/kTYkhdyFUruLAnjcozQByX7Pf/BTH9kP9qX9qb4ifsd/BD4gXGteM/hap/4S9ItNkFnAyyrC6R3BGyVklJRgpOGVh2Ne+1+NP/BGP9nb9sf9l/8A4K4+KfCvjP8A4J8z/D7wkvwK0TQtX1w+OP7VtVktz5pvlv1s4o9SvLq4LPNEhVojKzEsBiv2WoAKKKKACiiigD5d+NX/AAVz/Zf+CH7RWvfstal4J+Kvibxd4XtrC48QW3gL4VarrkOnx3sZktmlls4XVA6q2M4+4w/hOPqGNxIiyAEBgCAwwa/HD/gsb8ONf0f9on4jfEj9iD4c/td6P+1B4kv/AA3b+FNc8BWd5F4O1iK1ESo1zND/AKJJbpE9yrLdneshOAEY5/Xj4fDxgPAOhj4hmA+IBo9t/bhtceV9s8pfO2Y42+Zux7UAbFFFFAH/2Q==", "info": {"equation": "0*11=0", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "18a62770305580cdb4f1594c747f0c008f024c76217a12c934e297130f1b130f"}
+{"episode": 86299, "episode_seed": 2773298321, "split": "train", "timestamp": "2025-10-28T03:51:09.989417", "batch_dir": null, "init_args": {"env_repr": "<OrderEnforcing<MatchEquationEnv<match_equation/MatchEquation-v0>>>", "vlm_repr": "<gymnasium.vlm.groundtruth_interactor.MockVLM object at 0x7b3c402a0c50>", "max_steps": 500, "abs_size": 336, "master_seed": 904, "max_long_side": 336, "image_quality": 95, "interactor_type": "GroundtruthInteractor", "groundtruth_strategy": "bfs", "groundtruth_kwargs": {}, "enable_reasoning": true, "reasoner_class": null}, "run_args": {"render": false, "seed": 2773298321, "verbose": false, "save_verbose": false, "elicit_verbalization": true, "repeat_instructions": false, "include_env_feedback": true, "num_interaction_history": 0, "widget_log": false, "autosave_path": null, "save_history_at_episode_end": false}, "stats": {"step": 2, "reward": 1.0, "terminated": true, "truncated": false}, "history": [{"step": 0, "prompt": "You see a broken matchstick equation.\nYour goal is to fix the equation by moving ONE match per action.\nYou see an image of the equation.\n\nSymbols are indexed 0..N-1 from left to right (N = number of symbols).\n\nAvailable actions:\n1. 'move': Remove one match from segment 'src_seg' of symbol at 'src_idx', then add it to segment 'dst_seg' of symbol at 'dst_idx'. Format: `('move', [src_idx, src_seg, dst_idx, dst_seg])` where:\n   \u2022 src_idx, dst_idx \u2208 [0, N\u22121], with src_idx \u2260 dst_idx\n   \u2022 src_seg, dst_seg \u2208 matchstick_puzzles.TOTAL (e.g., {0..12})\n   \u2022 The move must result in valid symbols at BOTH positions.\n2. 'undo': Revert the last move (if any). Format: `('undo', 'undo')`\n3. 'stop': Submit your current equation as final. Format: `('stop', 'stop')`\n\nSuccess: The submitted equation must be mathematically correct (evaluated as lhs == rhs).\n\nSegment legend (indices depend on symbol):\n  0..6 : 7-seg digits (a,b,c,d,e,f,g), 6 is also the horizontal stroke used by '+'\n  7    : plus vertical stroke (used by '+')\n  8    : the multiply sign that goes from top left to bottom right\n  9    : the multiply sign that goes from top right to bottom left\n  11,12: equals upper/lower bars (used by '=')\nA segment is valid for a symbol only if the resulting set of segments maps to a known glyph.\n\nPlease respond with exactly one action and its arguments in the specified format. For example:\n- To move a match: `('move', [0, 6, 2, 0])`\n- To undo: `('undo', 'undo')`\n- To stop: `('stop', 'stop')`\n\nVerbalize your reasoning in <think>\u2026</think> and give the final result in <answer>\u2026</answer>.\nThis is step 1. You are allowed to take 499 more steps.", "vlm_output": "<think></think><answer>('move', [1, 0, 5, 0])</answer>", "action": "('move', [1, 0, 5, 0])", "reward": 0.0, "image": 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", 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", 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", "info": {"equation": "11-4=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}, {"step": 1, "prompt": "Environment feedback: Action executed successfully.\n\nThis is step 2. You are allowed to take 498 more steps.", "vlm_output": "<think></think><answer>('stop', 'stop')</answer>", "action": "('stop', 'stop')", "reward": 1.0, "image": 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", 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", 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"info": {"equation": "11-4=7", "is_correct": true, "max_steps": 1000, "history_depth": 2, "current_moves": 1, "env_feedback": "Action executed successfully."}, "think": "<think></think>"}], "extra_state": null, "hash": "5ef489e3161b51aeabd97522f377bb1c798879b53a875e7966494386a306a5ab"}