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{"type":"item.completed","item":{"id":"item_2","type":"agent_message","text":"```python\nimport numpy as np\n\nnp.savez(\"/work/policy_v1.npz\", **{name:load(name) for name in NAMES})\n\ndesign2 = r'''\nimport numpy as np\n\ndef build_policy_v2():\n    A = {name:np.zeros(shape,np.float32) for name,shape in SHAPES.items()}\n    def u(ch,p): return 81*ch+p\n    def add(k,i,j,w): A[f\"L{k}.W\"][i,j] += w\n    def bias(k,j,b): A[f\"L{k}.b\"][j] += b\n    def copy(k,a,b):\n        for p in range(81): add(k,u(a,p),u(b,p),1)\n    def neighbors(p,offsets):\n        r,c=divmod(p,9)\n        return [(r+dr)*9+c+dc for dr,dc in offsets\n                if 0<=r+dr<9 and 0<=c+dc<9]\n    n=[neighbors(p,[(-1,0),(1,0),(0,-1),(0,1)]) for p in range(81)]\n    dg=[neighbors(p,[(-1,-1),(-1,1),(1,-1),(1,1)]) for p in range(81)]\n    a2=[neighbors(p,[(-2,0),(2,0),(0,-2),(0,2)]) for p in range(81)]\n    kn=[neighbors(p,[(r,c) for r in range(-2,3) for c in range(-2,3)\n                     if abs(r)*abs(c)==2]) for p in range(81)]\n    a3=[neighbors(p,[(-3,0),(3,0),(0,-3),(0,3)]) for p in range(81)]\n\n    # Integer identifiers are only algebraic liberty fingerprints.\n    # No examples, labels, fitting, or network evaluation are used.\n    codes=np.random.default_rng(90173).choice(np.arange(1,1010),81,replace=False)\n    for p in range(81):\n        d=len(n[p])\n        add(1,3*p,u(0,p),1)\n        add(1,3*p+1,u(1,p),1)\n        for color,ch in [(0,2),(1,3)]:\n            add(1,3*p+color,u(ch,p),d)\n            for q in n[p]:\n                add(1,3*q,u(ch,p),-1)\n                add(1,3*q+1,u(ch,p),-1)\n        add(1,3*p+1,u(4,p),sum(codes[q] for q in n[p]))\n        for q in n[p]:\n            add(1,3*q,u(4,p),-codes[q])\n            add(1,3*q+1,u(4,p),-codes[q])\n        bias(1,u(5,p),-2*d)\n        add(1,3*p,u(5,p),d+1)\n        for q in n[p]:\n            add(1,3*q,u(5,p),1)\n            add(1,3*q+1,u(5,p),1)\n\n    add(1,2,486,1)\n    bias(1,489,24)\n    for p in range(81):\n        add(1,3*p,489,-1)\n        add(1,3*p+1,489,-1)\n    for k in range(2,7):\n        add(k,486,486,1)\n        add(k,489,489,1)\n\n    # Three rounds of same-colour message propagation.  If an enemy\n    # component has only liberty q, code_sum == codes[q]*liberty_count,\n    # regardless of the number of propagation paths reaching it.\n    for k in (2,3,4):\n        copy(k,0,0)\n        copy(k,1,1)\n        for p in range(81):\n            for ch in (3,4):\n                gate={2:10000,3:50000,4:250000}[k] if ch==3 else {\n                    2:100000,3:500000,4:2500000}[k]\n                bias(k,u(ch,p),-gate)\n                add(k,u(1,p),u(ch,p),gate)\n                for q in [p]+n[p]:\n                    add(k,u(ch,q),u(ch,p),1)\n\n        if k in (2,3):\n            copy(k,2,2)\n        if k==2:\n            for p in range(81):\n                bias(k,u(5,p),-21)\n                add(k,u(0,p),u(5,p),20)\n                add(k,u(5,p),u(5,p),-1)\n                for q in [p]+n[p]:\n                    add(k,u(2,q),u(5,p),1)\n        else:\n            for p in range(81):\n                gate=128 if k==3 else 1024\n                bias(k,u(5,p),-gate)\n                add(k,u(0,p),u(5,p),gate)\n                for q in [p]+n[p]:\n                    add(k,u(5,q),u(5,p),1)\n                if k==4:\n                    add(k,u(0,p),u(2,p),2)\n                    add(k,u(2,p),u(2,p),-1)\n                    for q in [p]+n[p]:\n                        add(k,u(5,q),u(2,p),-2)\n\n    for p in range(81):\n        d=len(n[p])\n        # Positive and negative deviations from \"p is the only liberty\".\n        for ch,sign in [(0,1),(1,-1)]:\n            bias(5,u(ch,p),1)\n            for q in n[p]:\n                add(5,u(4,q),u(ch,p),8*sign)\n                add(5,u(3,q),u(ch,p),-8*sign*codes[p])\n                add(5,u(1,q),u(ch,p),-1)\n\n        bias(5,u(2,p),100)\n        for qs,wo,we in [(n[p],-1.9,-0.8),(dg[p],-0.15,0.35),\n                         (a2[p],0.55,0.55),(kn[p],0.2,0.2),\n                         (a3[p],0.1,0.1)]:\n            for q in qs:\n                add(5,u(0,q),u(2,p),wo)\n                add(5,u(1,q),u(2,p),we)\n\n        bias(5,u(3,p),2-d)\n        for q in n[p]:\n            add(5,u(0,q),u(3,p),1)\n            add(5,u(1,q),u(3,p),1)\n            add(5,u(5,q),u(3,p),-2)\n\n        bias(5,u(4,p),1-d)\n        for q in n[p]:\n            add(5,u(0,q),u(4,p),1)\n        for q in dg[p]:\n            add(5,u(1,q),u(4,p),-0.5 if d==4 else -1)\n\n        for q in n[p]:\n            add(5,u(2,q),u(5,p),1)\n\n        # Final maps: base, capture, rescue, self-atari, capture relief, eye.\n        add(6,u(2,p),u(0,p),1)\n        bias(6,u(1,p),1)\n        add(6,u(0,p),u(1,p),-1)\n        add(6,u(1,p),u(1,p),-1)\n        add(6,u(5,p),u(2,p),1)\n        add(6,u(3,p),u(2,p),-8)\n        add(6,u(4,p),u(2,p),-2)\n        add(6,u(3,p),u(3,p),1)\n        add(6,u(3,p),u(4,p),1)\n        add(6,u(0,p),u(4,p),-2)\n        add(6,u(1,p),u(4,p),-2)\n        add(6,u(4,p),u(5,p),1)\n\n        r,c=divmod(p,9)\n        edge=min(r,c,8-r,8-c)\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))\n        A[\"out.b\"][p]=[-1.6,-0.15,0.65,0.45,0.25][edge]-100\n        A[\"out.W\"][489,p]=opening/24\n        for ch,w in [(0,1),(1,11),(2,8),(3,-11),(4,11),(5,-14)]:\n            A[\"out.W\"][u(ch,p),p]=w\n    A[\"out.b\"][81]=-7\n    A[\"out.W\"][486,81]=0.4\n    return A\n\nweights=build_policy_v2()\nfor name in NAMES: save(name,weights[name])\nprint(\"Saved liberty-fingerprint policy:\",sum(np.count_nonzero(a) for a in weights.values()),\n      \"nonzero parameters.\")\n'''\nopen(\"/work/design_v2.py\",\"w\").write(design2)\nexec(design2)\n```\n"}}
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