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{"type":"item.completed","item":{"id":"item_2","type":"agent_message","text":"```python\nimport numpy as np\nimport os, json\n\ndesign = r'''\nimport numpy as np\n\ndef build_policy(capture=10.0, rescue=8.0, self_atari=11.0,\n                 eye=14.0, crowd=1.6, contact=2.0, pass_bias=-7.0):\n    A = {name: np.zeros(shape, np.float32) for name, shape in SHAPES.items()}\n    def u(channel, p):\n        return channel * 81 + p\n    def rc(p):\n        return divmod(p, 9)\n    def nearby(p, offsets):\n        r, c = rc(p)\n        return [(r+dr)*9+c+dc for dr,dc in offsets\n                if 0 <= r+dr < 9 and 0 <= c+dc < 9]\n    orth = [(-1,0),(1,0),(0,-1),(0,1)]\n    diag = [(-1,-1),(-1,1),(1,-1),(1,1)]\n    axial2 = [(-2,0),(2,0),(0,-2),(0,2)]\n    knight = [(dr,dc) for dr in range(-2,3) for dc in range(-2,3)\n              if abs(dr)*abs(dc) == 2]\n    axial3 = [(-3,0),(3,0),(0,-3),(0,3)]\n    n = [nearby(p,orth) for p in range(81)]\n    dg = [nearby(p,diag) for p in range(81)]\n    a2 = [nearby(p,axial2) for p in range(81)]\n    kn = [nearby(p,knight) for p in range(81)]\n    a3 = [nearby(p,axial3) for p in range(81)]\n    def add(layer, source, target, value):\n        A[f\"L{layer}.W\"][source,target] += value\n    def bias(layer, target, value):\n        A[f\"L{layer}.b\"][target] += value\n    def copy(layer, oldch, newch):\n        for p in range(81):\n            add(layer,u(oldch,p),u(newch,p),1)\n\n    # L1: stones, direct liberties, and zero-liberty indicators.\n    for p in range(81):\n        d = len(n[p])\n        for color in (0,1):\n            add(1,3*p+color,u(color,p),1)\n            lib = u(2+color,p)\n            add(1,3*p+color,lib,d)\n            for q in n[p]:\n                for other in (0,1):\n                    add(1,3*q+other,lib,-1)\n            zero = u(4+color,p)\n            bias(1,zero,-2*d)\n            add(1,3*p+color,zero,d+1)\n            for q in n[p]:\n                for other in (0,1):\n                    add(1,3*q+other,zero,1)\n\n    # A few global, purely analytic features.\n    add(1,2,486,1)\n    for p in range(81):\n        add(1,3*p,487,1)\n        add(1,3*p+1,488,1)\n        add(1,3*p,489,-1)\n        add(1,3*p+1,489,-1)\n    bias(1,489,24)\n    for layer in range(2,7):\n        for j in range(486,490):\n            add(layer,j,j,1)\n\n    # L2: seed connected groups known locally to have multiple liberties.\n    # Subtracting the zero-liberty indicator avoids counting a shared\n    # diagonal liberty twice as two distinct liberties.\n    for ch in range(4):\n        copy(2,ch,ch)\n    for p in range(81):\n        for color in (0,1):\n            dst = u(4+color,p)\n            bias(2,dst,-21)\n            add(2,u(color,p),dst,20)\n            add(2,u(4+color,p),dst,-1)\n            for q in [p]+n[p]:\n                add(2,u(2+color,q),dst,1)\n\n    # L3: propagate evidence of safety through same-colour connections.\n    for ch in range(4):\n        copy(3,ch,ch)\n    for p in range(81):\n        for color in (0,1):\n            dst = u(4+color,p)\n            bias(3,dst,-128)\n            add(3,u(color,p),dst,128)\n            for q in [p]+n[p]:\n                add(3,u(4+color,q),dst,1)\n\n    # L4: local atari signals, friendly safety, and positional influence.\n    copy(4,0,0)\n    copy(4,1,1)\n    for p in range(81):\n        safe = u(2,p)\n        bias(4,safe,-1024)\n        add(4,u(0,p),safe,1024)\n        for q in [p]+n[p]:\n            add(4,u(4,q),safe,1)\n        for color, channel in [(1,3),(0,4)]:\n            dst = u(channel,p)\n            add(4,u(color,p),dst,2)\n            add(4,u(2+color,p),dst,-1)\n            for q in [p]+n[p]:\n                add(4,u(4+color,q),dst,-2)\n\n        dst = u(5,p)\n        bias(4,dst,100)\n        for qs, wo, we in [\n            (n[p],-1.05,0.15),\n            (dg[p],0.40,0.35),\n            (a2[p],0.65,0.55),\n            (kn[p],0.30,0.25),\n            (a3[p],0.12,0.12),\n        ]:\n            for q in qs:\n                add(4,u(0,q),dst,wo)\n                add(4,u(1,q),dst,we)\n\n    # L5: captures, self-atari, eyes, overconcentration, unsupported\n    # contact, and candidate atari escapes.\n    for p in range(81):\n        d = len(n[p])\n        add(5,u(5,p),u(0,p),1)\n        for q in n[p]:\n            add(5,u(3,q),u(0,p),capture)\n\n        bias(5,u(1,p),2-d)\n        for q in n[p]:\n            add(5,u(0,q),u(1,p),1)\n            add(5,u(1,q),u(1,p),1)\n            add(5,u(2,q),u(1,p),-2)\n            add(5,u(3,q),u(1,p),-2)\n\n        bias(5,u(2,p),1-d)\n        for q in n[p]:\n            add(5,u(0,q),u(2,p),1)\n        for q in dg[p]:\n            add(5,u(1,q),u(2,p),-0.5 if d == 4 else -1)\n\n        bias(5,u(3,p),-3)\n        for q in n[p]+dg[p]:\n            add(5,u(0,q),u(3,p),1)\n        for q in a2[p]:\n            add(5,u(0,q),u(3,p),0.4)\n\n        for q in n[p]:\n            add(5,u(1,q),u(4,p),1)\n            add(5,u(0,q),u(4,p),-0.55)\n            add(5,u(3,q),u(4,p),-3)\n        for q in dg[p]:\n            add(5,u(0,q),u(4,p),-0.35)\n        for q in a2[p]:\n            add(5,u(0,q),u(4,p),-0.20)\n\n        for q in n[p]:\n            add(5,u(4,q),u(5,p),1)\n\n    # L6: do not reward an escape that merely remains in atari.\n    for ch in range(5):\n        copy(6,ch,ch)\n    for p in range(81):\n        add(6,u(5,p),u(5,p),1)\n        add(6,u(1,p),u(5,p),-8)\n        add(6,u(2,p),u(5,p),-2)\n\n    for p in range(81):\n        r,c = rc(p)\n        edge_distance = min(r,c,8-r,8-c)\n        positional = [-1.6,-0.15,0.65,0.45,0.25][edge_distance]\n        rr,cc = min(r,8-r),min(c,8-c)\n        opening = 1.6 if (rr,cc)==(2,2) else (\n            1.15 if (rr,cc) in [(2,3),(3,2)] else (\n            0.5 if (rr,cc)==(3,3) else 0.0))\n        A[\"out.b\"][p] = positional-100\n        for ch,w in [(0,1),(1,-self_atari),(2,-eye),\n                     (3,-crowd),(4,-contact),(5,rescue)]:\n            A[\"out.W\"][u(ch,p),p] = w\n        A[\"out.W\"][489,p] = opening/24\n    A[\"out.b\"][81] = pass_bias\n    A[\"out.W\"][486,81] = 0.4\n    return A\n\nweights = build_policy()\nfor name in NAMES:\n    save(name, weights[name])\nprint(\"Saved all tensors; nonzero parameters:\",\n      sum(np.count_nonzero(a) for a in weights.values()))\nprint(\"Design: connected-liberty signals, captures, safe escapes,\",\n      \"eye protection, shape, opening placement, and passing.\")\n'''\nwith open(\"/work/design.py\",\"w\") as f:\n    f.write(design)\nexec(design)\n```\n"}}
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