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{"type":"item.completed","item":{"id":"item_0","type":"error","message":"Failed to read global AGENTS.md instructions from `<local-home>/.codex/AGENTS.md`: Operation not permitted (os error 1)"}}
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{"type":"item.completed","item":{"id":"item_2","type":"agent_message","text":"```python\nimport numpy as np\nslots=[486,487,488,489,491,492]+list(range(496,510))\nedges=[(0,2),(0,6),(2,0),(6,0),(2,8),(6,8),(8,2),(8,6)]\n\ndef surrounding(stones):\n    out=set(stones)\n    for v in stones:\n        r,c=divmod(v,9)\n        for rr,cc in ((r-1,c),(r+1,c),(r,c-1),(r,c+1)):\n            if 0<=rr<9 and 0<=cc<9:out.add(rr*9+cc)\n    return out\n\nw1=load(\"L1.W\");b1=load(\"L1.b\")\nw2=load(\"L2.W\");w3=load(\"L3.W\");w4=load(\"L4.W\")\nfor s in slots:\n    w1[:,s]=0\n    w2[s,:486]=0\n    w3[s,:486]=0\n    w4[s,:486]=0\n\n# Layer 1: exact visible edge-chain and central-cross certificates.\ndef first_certificate(slot,color,stones,liberties):\n    for v in stones:\n        r,c=divmod(v,9);w1[inp(r,c,color),slot]+=1\n    for v in liberties:\n        r,c=divmod(v,9)\n        w1[inp(r,c,0),slot]-=1\n        w1[inp(r,c,1),slot]-=1\n    b1[slot]=1-len(stones)\n    for v in surrounding(stones):\n        for cls in (0,1):\n            w2[slot,((2 if color==0 else 4)+cls)*81+v]-=1\n\nn=0\nfor r,c in edges:\n    dr,dc=(0,1) if r in (0,8) else (1,0)\n    stones=[(r+t*dr)*9+c+t*dc for t in (-1,0,1)]\n    libs=[(r+t*dr)*9+c+t*dc for t in (-2,2)]\n    for color in (0,1):\n        first_certificate(slots[n],color,stones,libs);n+=1\nfor libs in ((30,50),(32,48)):\n    for color in (0,1):\n        first_certificate(slots[n],color,[40,31,39,41,49],libs);n+=1\n\n# Broaden each existing layer-2 certificate's fan-out to every stone\n# whose connection to the certified chain is logically guaranteed.\nn=0\nfor r,c in ((2,2),(2,6),(4,4),(6,2),(6,6)):\n    for dr,dc in ((0,1),(1,0)):\n        stones=[(r+t*dr)*9+c+t*dc for t in (-1,0,1)]\n        for color,start in ((0,2),(1,4)):\n            s=slots[n];n+=1\n            for v in surrounding(stones):\n                for cls in (0,1):w3[s,(start+cls)*81+v]-=1\n\n# The layer-3 certificates similarly certify all their explicit stones,\n# not just the center point.\nn=0\nfor r,c in edges:\n    dr,dc=(0,1) if r in (0,8) else (1,0)\n    stones=[(r+t*dr)*9+c+t*dc for t in (-1,0,1)]\n    for color in (0,1):\n        s=slots[n];n+=1\n        for v in surrounding(stones):\n            w4[s,(2 if color==0 else 3)*81+v]-=1\nfor libs in ((30,50),(32,48)):\n    for color in (0,1):\n        s=slots[n];n+=1\n        for v in surrounding([40,31,39,41,49]):\n            w4[s,(2 if color==0 else 3)*81+v]-=1\n\nsave(\"L1.W\",w1);save(\"L1.b\",b1)\nsave(\"L2.W\",w2);save(\"L3.W\",w3);save(\"L4.W\",w4)\nprint(\"Added early exact safety certificates and expanded their proven fan-out.\")\nprint(\"No genuine one-liberty group can satisfy these certificates.\")\n```\n"}}
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