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{"type":"item.completed","item":{"id":"item_1","type":"agent_message","text":"```python\nimport numpy as np\n# The colour plane is broadcast over all 81 points. Reading it at one\n# fixed point is functionally invariant, although its raw weight row is not.\nerrors=[]\nfor reflect in [False,True]:\n    for turns in range(4):\n        perm=[]\n        for p in range(81):\n            r,c=divmod(p,9)\n            if reflect: c=8-c\n            for _ in range(turns): r,c=c,8-r\n            perm.append(9*r+c)\n        perm=np.asarray(perm)\n        hp=np.concatenate([81*ch+perm for ch in range(6)]+[np.arange(486,512)])\n        op=np.r_[perm,81]\n        w=load(\"L1.W\")\n        stone_rows=np.array([3*p+ch for p in range(81) for ch in [0,1]])\n        rotated_rows=np.array([3*perm[p]+ch for p in range(81) for ch in [0,1]])\n        err=float(np.max(np.abs(w[np.ix_(rotated_rows,hp)]-w[stone_rows])))\n        colour_weights=w[2::3].sum(axis=0)\n        err=max(err,float(np.max(np.abs(colour_weights[hp]-colour_weights))))\n        for k in range(1,7):\n            bb=load(\"L%d.b\"%k)\n            err=max(err,float(np.max(np.abs(bb[hp]-bb))))\n            if k>1:\n                ww=load(\"L%d.W\"%k)\n                err=max(err,float(np.max(np.abs(ww[np.ix_(hp,hp)]-ww))))\n        ww=load(\"out.W\"); bb=load(\"out.b\")\n        err=max(err,float(np.max(np.abs(ww[np.ix_(hp,op)]-ww))),\n                float(np.max(np.abs(bb[op]-bb))))\n        errors.append(err)\nassert max(errors)==0\nprint(\"Exact symmetry on all valid broadcast-colour inputs:\",errors)\nprint(\"No weights changed.\")\n```"}}
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