{"abstract":"The adapter reports an incorrect plane north while other fields remain valid.","category":"Astronomical coordinate conventions","checks":6,"contract":"A reduced SIN sky projection supplies direction east e,north n,center z and obliqueness coefficients a,b. Its plane coordinates are e+a*(1-z),n+b*(1-z). Orthographic mode a=b=0 still has front/back hemisphere ambiguity; forward metadata preserves z for inverse branch selection. Output fields are defined by: plane_east = d['e']+d['a']*(1-d['z']); plane_north = d['n']+d['b']*(1-d['z']); hemisphere = 'front' if d['z']>=0 else 'back'; undo_obliqueness_east = d['e']-d['a']*(1-d['z']); undo_obliqueness_north = d['n']-d['b']*(1-d['z']); center_offset = 1-d['z']","evaluation_group":"astro-celestial-sin-projection","failed_approach":"A partial convention repair still uses d['n']-d['b']*(1-d['z'])","family":"s3-astronomical-coordinate-conventions-celestial-sin-projection-plane_north","id":"FA-55746","implementations":{"attempt":{"sha256":"bde104d7076ed269eb4236c617d97b78abe1bd94e188d36bdaa045185a98590a","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'plane_east': d['e']+d['a']*(1-d['z']), 'plane_north': d['n']-d['b']*(1-d['z']), 'hemisphere': 'front' if d['z']>=0 else 'back', 'undo_obliqueness_east': d['e']-d['a']*(1-d['z']), 'undo_obliqueness_north': d['n']-d['b']*(1-d['z']), 'center_offset': 1-d['z']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 3.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 2.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 2, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 2, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': -1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 2, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 0, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 1.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 2: [({'e': 3, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 4.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 3.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 3, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 3, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 0.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 3, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 1, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 2.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 3: [({'e': 4, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 4.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 4, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 4, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 3.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 4: [({'e': 5, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 5.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 5, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 5, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 8.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 5, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 7, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 4.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 5: [({'e': 6, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 6.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 6, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 6, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 9.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 6, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 8, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 5.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 7.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\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":"f3c28733dc4c90cc1b716a71d2083b1c43707cadf21ab49bbc0abf69ac3199c7","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'plane_east': d['e']+d['a']*(1-d['z']), 'plane_north': d['n']+d['a']*(1-d['z']), 'hemisphere': 'front' if d['z']>=0 else 'back', 'undo_obliqueness_east': d['e']-d['a']*(1-d['z']), 'undo_obliqueness_north': d['n']-d['b']*(1-d['z']), 'center_offset': 1-d['z']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 3.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 2.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 2, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 2, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': -1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 2, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 0, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 1.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 2: [({'e': 3, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 4.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 3.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 3, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 3, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 0.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 3, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 1, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 2.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 3: [({'e': 4, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 4.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 4, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 4, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 3.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 4: [({'e': 5, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 5.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 5, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 5, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 8.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 5, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 7, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 4.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 5: [({'e': 6, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 6.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 6, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 6, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 9.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 6, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 8, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 5.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 7.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\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":"bad7b92b12b1b441dd1a7783a0a1a85bdb6a9049d5a39a5b6424ad196ba876c6","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(d):\n    return {'plane_east': d['e']+d['a']*(1-d['z']), 'plane_north': d['n']+d['b']*(1-d['z']), 'hemisphere': 'front' if d['z']>=0 else 'back', 'undo_obliqueness_east': d['e']-d['a']*(1-d['z']), 'undo_obliqueness_north': d['n']-d['b']*(1-d['z']), 'center_offset': 1-d['z']}\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = {1: [({'e': 2, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 3.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 2.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 2, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 2, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 2, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': -1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 2, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 0, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 2, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 1.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 2: [({'e': 3, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 4.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 3.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 3, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 3, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 3, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 0.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 3, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 1, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 3, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 2.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 3: [({'e': 4, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 5.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 4.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 4, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 4, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 4, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 1.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 4, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 2, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 4, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 3.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 4: [({'e': 5, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 6.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 4.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 5.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 5, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 5, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 5, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 5, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 8.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 2.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 5, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 7, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 3, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 5, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 4.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})], 5: [({'e': 6, 'n': 3, 'z': 0.5, 'a': 2, 'b': -3}, {'plane_east': 7.0, 'plane_north': 1.5, 'hemisphere': 'front', 'undo_obliqueness_east': 5.0, 'undo_obliqueness_north': 4.5, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': 0, 'b': 0}, {'plane_east': 6.0, 'plane_north': 3.0, 'hemisphere': 'front', 'undo_obliqueness_east': 6.0, 'undo_obliqueness_north': 3.0, 'center_offset': 0.5}), ({'e': 6, 'n': 3, 'z': 1, 'a': 2, 'b': -3}, {'plane_east': 6, 'plane_north': 3, 'hemisphere': 'front', 'undo_obliqueness_east': 6, 'undo_obliqueness_north': 3, 'center_offset': 0}), ({'e': 6, 'n': 3, 'z': -0.5, 'a': 2, 'b': -3}, {'plane_east': 9.0, 'plane_north': -1.5, 'hemisphere': 'back', 'undo_obliqueness_east': 3.0, 'undo_obliqueness_north': 7.5, 'center_offset': 1.5}), ({'e': 6, 'n': 3, 'z': 0, 'a': 2, 'b': -3}, {'plane_east': 8, 'plane_north': 0, 'hemisphere': 'front', 'undo_obliqueness_east': 4, 'undo_obliqueness_north': 6, 'center_offset': 1}), ({'e': 6, 'n': 3, 'z': 0.5, 'a': -2, 'b': 4}, {'plane_east': 5.0, 'plane_north': 5.0, 'hemisphere': 'front', 'undo_obliqueness_east': 7.0, 'undo_obliqueness_north': 1.0, 'center_offset': 0.5})]}\nfor i, (record, expected) in enumerate(fixtures[N]):\n    check('astronomical fixture %s' % i, solve(record), expected)\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":"Explicitly stipulated finite algebraic adapter; no standards conformance, physical accuracy, or production-library claim. Inputs are the documented finite valid model domain. 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-astronomical-coordinate-conventions-celestial-sin-projection-plane_north","generated_at":"2026-09-29T14:46:00.730425+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Catalog, detector, sky-coordinate, and spectroscopy adapters must preserve the association between numeric coordinates and their declared reference conventions.","repair":"Preserve the declared model convention at this site: d['n']+d['b']*(1-d['z'])","root_cause":"Oblique SIN latitude reuses longitude obliqueness or inverse sign. Faulty expression: d['n']+d['a']*(1-d['z'])","sha256":"5a965261be588a764193cc66b421de623dc1748d754dec532650d93cd439ee42","title":"Celestial sin projection: Oblique SIN latitude reuses longitude obliqueness or inverse sign · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":38.466,"exit_code":1,"observations":[{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":4.5,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"check":"astronomical fixture 0","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":1.5,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"passed":false},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"check":"astronomical fixture 1","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"passed":true},{"actual":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"check":"astronomical fixture 2","expected":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"passed":true},{"actual":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":7.5,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"check":"astronomical fixture 3","expected":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":-1.5,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"passed":false},{"actual":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":6,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"check":"astronomical fixture 4","expected":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":0,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"passed":false},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":1.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"check":"astronomical fixture 5","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":5.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"plane_east\": 3.0, \"plane_north\": 4.5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 3.0, \"plane_north\": 1.5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"expected\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"plane_east\": 5.0, \"plane_north\": 7.5, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"expected\": {\"plane_east\": 5.0, \"plane_north\": -1.5, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"plane_east\": 4, \"plane_north\": 6, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"expected\": {\"plane_east\": 4, \"plane_north\": 0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"passed\": false}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"plane_east\": 1.0, \"plane_north\": 1.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 1.0, \"plane_north\": 5.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"passed\": false}], \"passed\": false}\n"},"broken":{"elapsed_ms":38.467,"exit_code":1,"observations":[{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":4.0,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"check":"astronomical fixture 0","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":1.5,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"passed":false},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"check":"astronomical fixture 1","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"passed":true},{"actual":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"check":"astronomical fixture 2","expected":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"passed":true},{"actual":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":6.0,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"check":"astronomical fixture 3","expected":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":-1.5,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"passed":false},{"actual":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":5,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"check":"astronomical fixture 4","expected":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":0,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"passed":false},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":2.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"check":"astronomical fixture 5","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":5.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"passed":false}],"passed":false,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"plane_east\": 3.0, \"plane_north\": 4.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 3.0, \"plane_north\": 1.5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"passed\": false}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"expected\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"plane_east\": 5.0, \"plane_north\": 6.0, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"expected\": {\"plane_east\": 5.0, \"plane_north\": -1.5, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"passed\": false}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"plane_east\": 4, \"plane_north\": 5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"expected\": {\"plane_east\": 4, \"plane_north\": 0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"passed\": false}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"plane_east\": 1.0, \"plane_north\": 2.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 1.0, \"plane_north\": 5.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"passed\": false}], \"passed\": false}\n"},"fixed":{"elapsed_ms":43.124,"exit_code":0,"observations":[{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":1.5,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"check":"astronomical fixture 0","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":3.0,"plane_north":1.5,"undo_obliqueness_east":1.0,"undo_obliqueness_north":4.5},"passed":true},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"check":"astronomical fixture 1","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":2.0,"plane_north":3.0,"undo_obliqueness_east":2.0,"undo_obliqueness_north":3.0},"passed":true},{"actual":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"check":"astronomical fixture 2","expected":{"center_offset":0,"hemisphere":"front","plane_east":2,"plane_north":3,"undo_obliqueness_east":2,"undo_obliqueness_north":3},"passed":true},{"actual":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":-1.5,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"check":"astronomical fixture 3","expected":{"center_offset":1.5,"hemisphere":"back","plane_east":5.0,"plane_north":-1.5,"undo_obliqueness_east":-1.0,"undo_obliqueness_north":7.5},"passed":true},{"actual":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":0,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"check":"astronomical fixture 4","expected":{"center_offset":1,"hemisphere":"front","plane_east":4,"plane_north":0,"undo_obliqueness_east":0,"undo_obliqueness_north":6},"passed":true},{"actual":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":5.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"check":"astronomical fixture 5","expected":{"center_offset":0.5,"hemisphere":"front","plane_east":1.0,"plane_north":5.0,"undo_obliqueness_east":3.0,"undo_obliqueness_north":1.0},"passed":true}],"passed":true,"stderr":"","stdout":"{\"observations\": [{\"check\": \"astronomical fixture 0\", \"actual\": {\"plane_east\": 3.0, \"plane_north\": 1.5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 3.0, \"plane_north\": 1.5, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 1.0, \"undo_obliqueness_north\": 4.5, \"center_offset\": 0.5}, \"passed\": true}, {\"check\": \"astronomical fixture 1\", \"actual\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 2.0, \"plane_north\": 3.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2.0, \"undo_obliqueness_north\": 3.0, \"center_offset\": 0.5}, \"passed\": true}, {\"check\": \"astronomical fixture 2\", \"actual\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"expected\": {\"plane_east\": 2, \"plane_north\": 3, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 2, \"undo_obliqueness_north\": 3, \"center_offset\": 0}, \"passed\": true}, {\"check\": \"astronomical fixture 3\", \"actual\": {\"plane_east\": 5.0, \"plane_north\": -1.5, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"expected\": {\"plane_east\": 5.0, \"plane_north\": -1.5, \"hemisphere\": \"back\", \"undo_obliqueness_east\": -1.0, \"undo_obliqueness_north\": 7.5, \"center_offset\": 1.5}, \"passed\": true}, {\"check\": \"astronomical fixture 4\", \"actual\": {\"plane_east\": 4, \"plane_north\": 0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"expected\": {\"plane_east\": 4, \"plane_north\": 0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 0, \"undo_obliqueness_north\": 6, \"center_offset\": 1}, \"passed\": true}, {\"check\": \"astronomical fixture 5\", \"actual\": {\"plane_east\": 1.0, \"plane_north\": 5.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"expected\": {\"plane_east\": 1.0, \"plane_north\": 5.0, \"hemisphere\": \"front\", \"undo_obliqueness_east\": 3.0, \"undo_obliqueness_north\": 1.0, \"center_offset\": 0.5}, \"passed\": true}], \"passed\": true}\n"}},"verified":true,"visibility":"public"}