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{"type":"item.completed","item":{"id":"item_2","type":"agent_message","text":"```python\nimport numpy as np\n\n# Hand-written ReLU circuitry. No training, examples, or network evaluation.\nparams = {name: np.zeros_like(load(name), dtype=np.float32) for name in NAMES}\n\ndef W(k):\n    return params[f\"L{k}.W\"]\n\ndef B(k):\n    return params[f\"L{k}.b\"]\n\ndef unit(channel, point):\n    return channel * 81 + point\n\ndef neighbors(p):\n    r, c = divmod(p, 9)\n    return [\n        rr * 9 + cc\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\n    ]\n\ndef offsets(p, kind):\n    r, c = divmod(p, 9)\n    if kind == \"diag\":\n        ds = [(a, b) for a in (-1, 1) for b in (-1, 1)]\n    elif kind == \"axial2\":\n        ds = [(-2, 0), (2, 0), (0, -2), (0, 2)]\n    elif kind == \"knight\":\n        ds = [(a, b) for a in (-2, -1, 1, 2)\n              for b in (-2, -1, 1, 2) if abs(a) + abs(b) == 3]\n    elif kind == \"axial3\":\n        ds = [(-3, 0), (3, 0), (0, -3), (0, 3)]\n    return [(r+a)*9+c+b for a, b in ds\n            if 0 <= r+a < 9 and 0 <= c+b < 9]\n\nadj = [neighbors(p) for p in range(81)]\nrings = {kind: [offsets(p, kind) for p in range(81)]\n         for kind in (\"diag\", \"axial2\", \"knight\", \"axial3\")}\n\ndef add(k, source_channel, source_point, destination_channel,\n        destination_point, value):\n    W(k)[unit(source_channel, source_point),\n         unit(destination_channel, destination_point)] += value\n\n# Global descriptors, computed directly from the supplied observation.\n# These occupy units 486..492 and are carried through all six layers.\nfor p in range(81):\n    r, c = divmod(p, 9)\n    for color in (0, 1):\n        i = inp(r, c, color)\n        W(1)[i, 486] = 1.0 / 81\n        W(1)[i, 490] = -1.0 / 24\n        W(1)[i, 491] = 1.0 / 81\n    W(1)[inp(r, c, 0), 487] = 1.0 / 81\n    W(1)[inp(r, c, 1), 488] = 1.0 / 81\nW(1)[inp(0, 0, 2), 489] = 1\nB(1)[490] = 1\nB(1)[491] = -0.60\nB(1)[492] = 1\n\nfor k in range(2, 7):\n    for j in range(486, 493):\n        W(k)[j, j] = 1\n\n# Layer 1:\n#   P, Q: ownership.\n#   D_color = relu(2*ownership - immediate liberties).\n#   Z_color = relu(ownership - immediate liberties).\n# P-D+Z identifies stones with at least two immediate liberties.\nfor p in range(81):\n    r, c = divmod(p, 9)\n    W(1)[inp(r, c, 0), unit(0, p)] = 1\n    W(1)[inp(r, c, 1), unit(1, p)] = 1\n    for color, dch, zch in ((0, 2, 3), (1, 4, 5)):\n        for ch, multiplier in ((dch, 2), (zch, 1)):\n            dest = unit(ch, p)\n            W(1)[inp(r, c, color), dest] += multiplier\n            B(1)[dest] = -len(adj[p])\n            for q in adj[p]:\n                qr, qc = divmod(q, 9)\n                W(1)[inp(qr, qc, 0), dest] += 1\n                W(1)[inp(qr, qc, 1), dest] += 1\n\n# Layer 2: add liberty support from immediately connected friendly stones.\n# Adjacent board points cannot share an immediate liberty, so this also\n# recognizes many two-liberty groups that a purely pointwise test misses.\nfor p in range(81):\n    add(2, 0, p, 0, p, 1)\n    add(2, 1, p, 1, p, 1)\n    for color, other, dch, zch in ((0, 1, 2, 3), (1, 0, 4, 5)):\n        for ch, multiplier in ((dch, 2), (zch, 1)):\n            add(2, color, p, ch, p, multiplier)\n            B(2)[unit(ch, p)] = -len(adj[p])\n            for q in adj[p]:\n                add(2, other, q, ch, p, 1)\n                add(2, zch, q, ch, p, 1)\n\n# Layer 3: propagate safety along each colour's connections.\n# Channels become P, Q, endangered-P, endangered-Q, crowding, hostility.\nfor p in range(81):\n    add(3, 0, p, 0, p, 1)\n    add(3, 1, p, 1, p, 1)\n    for color, dch, zch, dest in ((0, 2, 3, 2), (1, 4, 5, 3)):\n        add(3, dch, p, dest, p, 1)\n        add(3, zch, p, dest, p, -1)\n        for q in adj[p]:\n            add(3, color, q, dest, p, -1)\n            add(3, dch, q, dest, p, 1)\n            add(3, zch, q, dest, p, -1)\n\n    B(3)[unit(4, p)] = -1.30\n    for points, weight in (\n        (adj[p], 1.0),\n        (rings[\"diag\"][p], 0.65),\n        (rings[\"axial2\"][p], 0.30),\n        (rings[\"knight\"][p], 0.15),\n    ):\n        for q in points:\n            add(3, 0, q, 4, p, weight)\n            add(3, 1, q, 4, p, -0.55 * weight)\n\n    B(3)[unit(5, p)] = -0.90\n    for points, friendly, enemy in (\n        (adj[p], -1.10, 1.30),\n        (rings[\"diag\"][p], -0.65, 0.45),\n        (rings[\"axial2\"][p], -0.25, 0.0),\n        (rings[\"knight\"][p], -0.15, 0.0),\n    ):\n        for q in points:\n            add(3, 0, q, 5, p, friendly)\n            add(3, 1, q, 5, p, enemy)\n\n# Layer 4: a second safety-propagation step.\nfor p in range(81):\n    for ch in (0, 1, 4, 5):\n        add(4, ch, p, ch, p, 1)\n    for color, danger in ((0, 2), (1, 3)):\n        add(4, danger, p, danger, p, 1)\n        for q in adj[p]:\n            add(4, color, q, danger, p, -1)\n            add(4, danger, q, danger, p, 1)\n\n# Layer 5: per-move strategic and tactical features.\n# Channels: shifted base score, capture, rescue, danger, eye, connection.\nSHIFT = 32.0\nfor p in range(81):\n    r, c = divmod(p, 9)\n    edge = min(r, c, 8-r, 8-c)\n    static_prior = 0.20 * min(edge, 2) - (0.20 if edge == 0 else 0)\n    opening_prior = 0.55 * min(edge, 2)\n    opening_prior += 0.15 * (1 - (abs(r-4) + abs(c-4)) / 8)\n\n    B(5)[unit(0, p)] = SHIFT + static_prior\n    W(5)[490, unit(0, p)] = opening_prior\n    add(5, 4, p, 0, p, -1.40)\n    add(5, 5, p, 0, p, -1.45)\n\n    for points, friendly, enemy in (\n        (adj[p], 0.55, 0.35),\n        (rings[\"diag\"][p], 0.70, 0.18),\n        (rings[\"axial2\"][p], 0.65, 0.10),\n        (rings[\"knight\"][p], 0.40, 0.04),\n        (rings[\"axial3\"][p], 0.20, 0.0),\n    ):\n        for q in points:\n            add(5, 0, q, 0, p, friendly)\n            add(5, 1, q, 0, p, enemy)\n\n    for q in adj[p]:\n        add(5, 3, q, 1, p, 1)\n        add(5, 2, q, 2, p, 1)\n\n    # Penalize moves lacking immediate liberties or friendly safe support.\n    # Capturing an endangered enemy supplies an escape from this penalty.\n    B(5)[unit(3, p)] = 2 - len(adj[p])\n    for q in adj[p]:\n        add(5, 0, q, 3, p, 1 - 1.60)\n        add(5, 1, q, 3, p, 1)\n        add(5, 2, q, 3, p, 1.60)\n        add(5, 3, q, 3, p, -2)\n\n    # Preserve eyes; diagonal enemies distinguish many false eyes.\n    B(5)[unit(4, p)] = 1 - len(adj[p])\n    for q in adj[p]:\n        add(5, 0, q, 4, p, 1)\n    diagonal_enemy_weight = 1.0 if edge == 0 else 0.5\n    for q in rings[\"diag\"][p]:\n        add(5, 1, q, 4, p, -diagonal_enemy_weight)\n\n    # Modest preference for connections, discounted by nearby redundancy.\n    B(5)[unit(5, p)] = -1\n    for q in adj[p]:\n        add(5, 0, q, 5, p, 1)\n    for q in rings[\"diag\"][p]:\n        add(5, 0, q, 5, p, -0.75)\n\n# Layer 6: suppress futile rescues that merely prolong self-atari.\nfor p in range(81):\n    for ch in range(6):\n        add(6, ch, p, ch, p, 1)\n    add(6, 3, p, 2, p, -2)\n    add(6, 4, p, 2, p, -2)\n\nSCALE = 2.4\ncoefficients = (1.0, 3.20, 2.40, -4.50, -8.0, 0.45)\nfor p in range(81):\n    for ch, coefficient in enumerate(coefficients):\n        params[\"out.W\"][unit(ch, p), p] = SCALE * coefficient\n    params[\"out.b\"][p] = -SHIFT * SCALE\n\n# Passing competes with unproductive territory filling, not ordinary moves.\nparams[\"out.b\"][PASS] = -2.70 * SCALE\n\nfor name in NAMES:\n    assert np.isfinite(params[name]).all()\n    save(name, params[name])\n\nprint(\"Saved all\", len(NAMES), \"tensors.\")\nprint(\"Parameters:\", sum(a.size for a in params.values()))\nprint(\"Nonzero parameters:\", sum(np.count_nonzero(a) for a in params.values()))\nprint(\"Design: local liberty support, two safety-propagation steps,\")\nprint(\"capture/rescue tactics, self-atari and eye avoidance, shape and opening priors.\")\n```"}}
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