{"abstract":"Every triangle reuses the first three strip vertices.","category":"Raster clipping","checks":12,"contract":"A vertex is [ID,outside-plane-bits]. Restart is null. Emit oriented triangle-strip primitives only when three distinct IDs exist and the three outside-plane masks have no common active bit. Strip parity advances for every assembled triangle including rejected/degenerate ones; restart clears both vertex history and parity. Only low size plane bits are active.","evaluation_group":"s3-raster-clipping-triangle-strip-clip-culling","failed_approach":"Keeping the first vertex as an anchor converts a strip into a fan.","family":"s3-raster-clipping-triangle-strip-clip-culling-vertex-window","id":"FA-51041","implementations":{"attempt":{"sha256":"80a5ac04114b380af56d173bc574dbe7fb5968535e525beb56b92e56985e7cd6","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(commands, size):\n    out=[]\n    for stream in commands:\n        history=[]\n        parity=0\n        draws=[]\n        planes=(1<<size)-1\n        for vertex in stream:\n            if vertex is None:\n                history=[]; parity=0\n                continue\n            history.append(vertex)\n            if len(history)<3: continue\n            tri=[history[0],history[-2],history[-1]]\n            if parity%2: tri=[tri[1],tri[0],tri[2]]\n            parity+=1\n            if len({v[0] for v in tri})<3: continue\n            common=(tri[0][1]&tri[1][1]&tri[2][1]) & planes\n            if common: continue\n            draws.append([v[0] for v in tri])\n        out.append(draws)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 4), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 4), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 4), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 4), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 4), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 2:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 5), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 5), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 5), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 5), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 5), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 3:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 6), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 6), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 6), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 6), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 6), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 6), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 4:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 7), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 7), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 7), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 7), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 7), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 7), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 5:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 8), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 8), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 8), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 8), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 8), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 8), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"broken":{"sha256":"8ed0b7bf1e1168863304d56cfc7e355c644689335ccbf120d9284ec537b6eeff","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(commands, size):\n    out=[]\n    for stream in commands:\n        history=[]\n        parity=0\n        draws=[]\n        planes=(1<<size)-1\n        for vertex in stream:\n            if vertex is None:\n                history=[]; parity=0\n                continue\n            history.append(vertex)\n            if len(history)<3: continue\n            tri=history[:3]\n            if parity%2: tri=[tri[1],tri[0],tri[2]]\n            parity+=1\n            if len({v[0] for v in tri})<3: continue\n            common=(tri[0][1]&tri[1][1]&tri[2][1]) & planes\n            if common: continue\n            draws.append([v[0] for v in tri])\n        out.append(draws)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 4), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 4), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 4), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 4), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 4), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 2:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 5), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 5), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 5), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 5), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 5), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 3:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 6), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 6), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 6), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 6), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 6), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 6), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 4:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 7), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 7), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 7), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 7), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 7), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 7), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 5:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 8), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 8), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 8), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 8), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 8), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 8), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"},"fixed":{"sha256":"c78baec1f53800a2adf2e3e54c32a1bafb3d973d816497e02a10ecc15bcbee2e","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(commands, size):\n    out=[]\n    for stream in commands:\n        history=[]\n        parity=0\n        draws=[]\n        planes=(1<<size)-1\n        for vertex in stream:\n            if vertex is None:\n                history=[]; parity=0\n                continue\n            history.append(vertex)\n            if len(history)<3: continue\n            tri=history[-3:]\n            if parity%2: tri=[tri[1],tri[0],tri[2]]\n            parity+=1\n            if len({v[0] for v in tri})<3: continue\n            common=(tri[0][1]&tri[1][1]&tri[2][1]) & planes\n            if common: continue\n            draws.append([v[0] for v in tri])\n        out.append(draws)\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nif N == 1:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 4), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 4), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 4), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 4), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 4), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 4), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 4), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 4), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 2:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 5), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 5), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 5), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 5), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 5), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 5), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 5), [[[0, 1, 2]]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 5), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 3:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 6), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 6), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 6), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 6), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 6), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 6), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 6), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 6), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 6), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 4:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 7), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 7), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 7), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 7), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 7), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 7), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 7), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 7), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 7), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nif N == 5:\n    check('explicit sequence 0', solve([[[0, 0], [1, 0], [2, 0], None, [3, 0], [4, 0], [5, 0]]], 8), [[[0, 1, 2], [3, 4, 5]]])\n    check('explicit sequence 1', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 2', solve([[[0, 0], [1, 0], [1, 0], [2, 0], [3, 0], [4, 0]]], 8), [[[1, 2, 3], [3, 2, 4]]])\n    check('explicit sequence 3', solve([[[0, 1], [1, 1], [2, 1], [3, 0], [4, 0]]], 8), [[[2, 1, 3], [2, 3, 4]]])\n    check('explicit sequence 4', solve([[[0, 1], [1, 1], [2, 0]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 5', solve([[[0, 512], [1, 512], [2, 512]]], 8), [[[0, 1, 2]]])\n    check('explicit sequence 6', solve([[[0, 1], [1, 1], [2, 1]]], 8), [[]])\n    check('explicit sequence 7', solve([[[0, 0], [1, 0], [0, 0], [2, 0], [3, 0]]], 8), [[[0, 1, 2], [0, 2, 3]]])\n    check('explicit sequence 8', solve([[None, [0, 0], [1, 0]]], 8), [[]])\n    check('explicit sequence 9', solve([[[0, 0], [1, 0], [2, 0], [3, 0], [4, 0], None, [5, 0], [6, 0], [7, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]])\n    check('explicit sequence 10', solve([[[0, 32], [1, 32], [2, 32]]], 8), [[]])\n    check('explicit sequence 11', solve([[[0, 0], [1, 0], [2, 0], [3, 0], None, [4, 0], [5, 0], [6, 0]]], 8), [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]])\nprint(json.dumps({\"observations\": observations, \"passed\": all(x[\"passed\"] for x in observations)}, ensure_ascii=False))\nraise SystemExit(0 if all(x[\"passed\"] for x in observations) else 1)\n"}},"limitations":"Finite one-dimensional integer sample sets model coverage state only; no geometric intersection, memory layout, GPU or graphics-standard conformance is claimed. This reproducer isolates one failure mechanism. Results cover the supplied fixtures. Variants within a family share a test contract and should remain grouped when constructing evaluation splits. Related mechanisms with a shared evaluation_group must also remain together; these controlled models are not independent production incidents.","method":"Deterministic executable model with adversarial boundary fixtures.","provenance":{"created_by":"Failure Map","dependencies":"Python standard library","family":"s3-raster-clipping-triangle-strip-clip-culling-vertex-window","generated_at":"2026-09-29T14:45:14.967865+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Raster clip state can leak coverage across draws even when every individual region is valid.","repair":"Apply the documented state transition at vertex window. A vertex is [ID,outside-plane-bits]. Restart is null. Emit oriented triangle-strip primitives only when three distinct IDs exist and the three outside-plane masks have no common active bit. Strip parity advances for every assembled triangle including rejected/degenerate ones; restart clears both vertex history and parity. Only low size plane bits are active.","root_cause":"Every triangle reuses the first three strip vertices.","sha256":"f3e62824b9e6003e7c331f4ddaeb3181091eef1e8ca0d029b18e5f7d31dc90b6","title":"Triangle strip clip culling: vertex window · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":43.603,"exit_code":1,"observations":[{"actual":[[[0,1,2],[3,4,5]]],"check":"explicit sequence 0","expected":[[[0,1,2],[3,4,5]]],"passed":true},{"actual":[[[0,1,2],[2,0,3],[0,3,4]]],"check":"explicit sequence 1","expected":[[[0,1,2],[2,1,3],[2,3,4]]],"passed":false},{"actual":[[[1,0,2],[0,2,3],[3,0,4]]],"check":"explicit sequence 2","expected":[[[1,2,3],[3,2,4]]],"passed":false},{"actual":[[[2,0,3],[0,3,4]]],"check":"explicit sequence 3","expected":[[[2,1,3],[2,3,4]]],"passed":false},{"actual":[[[0,1,2]]],"check":"explicit sequence 4","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2]]],"check":"explicit sequence 5","expected":[[[0,1,2]]],"passed":true},{"actual":[[]],"check":"explicit sequence 6","expected":[[]],"passed":true},{"actual":[[[0,2,3]]],"check":"explicit sequence 7","expected":[[[0,1,2],[0,2,3]]],"passed":false},{"actual":[[]],"check":"explicit sequence 8","expected":[[]],"passed":true},{"actual":[[[0,1,2],[2,0,3],[0,3,4],[5,6,7]]],"check":"explicit sequence 9","expected":[[[0,1,2],[2,1,3],[2,3,4],[5,6,7]]],"passed":false},{"actual":[[[0,1,2]]],"check":"explicit sequence 10","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2],[2,0,3],[4,5,6]]],"check":"explicit sequence 11","expected":[[[0,1,2],[2,1,3],[4,5,6]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit sequence 0\", \"actual\": [[[0, 1, 2], [3, 4, 5]]], \"expected\": [[[0, 1, 2], [3, 4, 5]]], \"passed\": true}, {\"check\": \"explicit sequence 1\", \"actual\": [[[0, 1, 2], [2, 0, 3], [0, 3, 4]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 2\", \"actual\": [[[1, 0, 2], [0, 2, 3], [3, 0, 4]]], \"expected\": [[[1, 2, 3], [3, 2, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 3\", \"actual\": [[[2, 0, 3], [0, 3, 4]]], \"expected\": [[[2, 1, 3], [2, 3, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 4\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 5\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 7\", \"actual\": [[[0, 2, 3]]], \"expected\": [[[0, 1, 2], [0, 2, 3]]], \"passed\": false}, {\"check\": \"explicit sequence 8\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 9\", \"actual\": [[[0, 1, 2], [2, 0, 3], [0, 3, 4], [5, 6, 7]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]], \"passed\": false}, {\"check\": \"explicit sequence 10\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 11\", \"actual\": [[[0, 1, 2], [2, 0, 3], [4, 5, 6]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]], \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":44.264,"exit_code":1,"observations":[{"actual":[[[0,1,2],[3,4,5]]],"check":"explicit sequence 0","expected":[[[0,1,2],[3,4,5]]],"passed":true},{"actual":[[[0,1,2],[1,0,2],[0,1,2]]],"check":"explicit sequence 1","expected":[[[0,1,2],[2,1,3],[2,3,4]]],"passed":false},{"actual":[[]],"check":"explicit sequence 2","expected":[[[1,2,3],[3,2,4]]],"passed":false},{"actual":[[]],"check":"explicit sequence 3","expected":[[[2,1,3],[2,3,4]]],"passed":false},{"actual":[[[0,1,2]]],"check":"explicit sequence 4","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2]]],"check":"explicit sequence 5","expected":[[[0,1,2]]],"passed":true},{"actual":[[]],"check":"explicit sequence 6","expected":[[]],"passed":true},{"actual":[[]],"check":"explicit sequence 7","expected":[[[0,1,2],[0,2,3]]],"passed":false},{"actual":[[]],"check":"explicit sequence 8","expected":[[]],"passed":true},{"actual":[[[0,1,2],[1,0,2],[0,1,2],[5,6,7]]],"check":"explicit sequence 9","expected":[[[0,1,2],[2,1,3],[2,3,4],[5,6,7]]],"passed":false},{"actual":[[[0,1,2]]],"check":"explicit sequence 10","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2],[1,0,2],[4,5,6]]],"check":"explicit sequence 11","expected":[[[0,1,2],[2,1,3],[4,5,6]]],"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit sequence 0\", \"actual\": [[[0, 1, 2], [3, 4, 5]]], \"expected\": [[[0, 1, 2], [3, 4, 5]]], \"passed\": true}, {\"check\": \"explicit sequence 1\", \"actual\": [[[0, 1, 2], [1, 0, 2], [0, 1, 2]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 2\", \"actual\": [[]], \"expected\": [[[1, 2, 3], [3, 2, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 3\", \"actual\": [[]], \"expected\": [[[2, 1, 3], [2, 3, 4]]], \"passed\": false}, {\"check\": \"explicit sequence 4\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 5\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 7\", \"actual\": [[]], \"expected\": [[[0, 1, 2], [0, 2, 3]]], \"passed\": false}, {\"check\": \"explicit sequence 8\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 9\", \"actual\": [[[0, 1, 2], [1, 0, 2], [0, 1, 2], [5, 6, 7]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]], \"passed\": false}, {\"check\": \"explicit sequence 10\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 11\", \"actual\": [[[0, 1, 2], [1, 0, 2], [4, 5, 6]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]], \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.478,"exit_code":0,"observations":[{"actual":[[[0,1,2],[3,4,5]]],"check":"explicit sequence 0","expected":[[[0,1,2],[3,4,5]]],"passed":true},{"actual":[[[0,1,2],[2,1,3],[2,3,4]]],"check":"explicit sequence 1","expected":[[[0,1,2],[2,1,3],[2,3,4]]],"passed":true},{"actual":[[[1,2,3],[3,2,4]]],"check":"explicit sequence 2","expected":[[[1,2,3],[3,2,4]]],"passed":true},{"actual":[[[2,1,3],[2,3,4]]],"check":"explicit sequence 3","expected":[[[2,1,3],[2,3,4]]],"passed":true},{"actual":[[[0,1,2]]],"check":"explicit sequence 4","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2]]],"check":"explicit sequence 5","expected":[[[0,1,2]]],"passed":true},{"actual":[[]],"check":"explicit sequence 6","expected":[[]],"passed":true},{"actual":[[[0,1,2],[0,2,3]]],"check":"explicit sequence 7","expected":[[[0,1,2],[0,2,3]]],"passed":true},{"actual":[[]],"check":"explicit sequence 8","expected":[[]],"passed":true},{"actual":[[[0,1,2],[2,1,3],[2,3,4],[5,6,7]]],"check":"explicit sequence 9","expected":[[[0,1,2],[2,1,3],[2,3,4],[5,6,7]]],"passed":true},{"actual":[[[0,1,2]]],"check":"explicit sequence 10","expected":[[[0,1,2]]],"passed":true},{"actual":[[[0,1,2],[2,1,3],[4,5,6]]],"check":"explicit sequence 11","expected":[[[0,1,2],[2,1,3],[4,5,6]]],"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"explicit sequence 0\", \"actual\": [[[0, 1, 2], [3, 4, 5]]], \"expected\": [[[0, 1, 2], [3, 4, 5]]], \"passed\": true}, {\"check\": \"explicit sequence 1\", \"actual\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4]]], \"passed\": true}, {\"check\": \"explicit sequence 2\", \"actual\": [[[1, 2, 3], [3, 2, 4]]], \"expected\": [[[1, 2, 3], [3, 2, 4]]], \"passed\": true}, {\"check\": \"explicit sequence 3\", \"actual\": [[[2, 1, 3], [2, 3, 4]]], \"expected\": [[[2, 1, 3], [2, 3, 4]]], \"passed\": true}, {\"check\": \"explicit sequence 4\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 5\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 6\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 7\", \"actual\": [[[0, 1, 2], [0, 2, 3]]], \"expected\": [[[0, 1, 2], [0, 2, 3]]], \"passed\": true}, {\"check\": \"explicit sequence 8\", \"actual\": [[]], \"expected\": [[]], \"passed\": true}, {\"check\": \"explicit sequence 9\", \"actual\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [2, 3, 4], [5, 6, 7]]], \"passed\": true}, {\"check\": \"explicit sequence 10\", \"actual\": [[[0, 1, 2]]], \"expected\": [[[0, 1, 2]]], \"passed\": true}, {\"check\": \"explicit sequence 11\", \"actual\": [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]], \"expected\": [[[0, 1, 2], [2, 1, 3], [4, 5, 6]]], \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}