{"abstract":"Sequences ending in an unmatched initiator take eos from the isolate content.","category":"Bidirectional text layout","checks":8,"contract":"Input [classes, levels, paragraph level]. Split into maximal level runs; chain a run ending in a matched isolate initiator (LRI/RLI/FSI) with the run starting at its matching PDI (stack matching; unmatched PDI ignored). For each sequence sos = parity of max(level of first char, level of preceding char or paragraph level); eos = parity of max(level of last char, level of following char or paragraph level), using the paragraph level when the last char is an isolate initiator. Return [[indices, sos, eos]].","evaluation_group":"w2-bidirectional-text-layout-isolating-sequences","failed_approach":"Applying the rule only to matched initiators misses unmatched ones.","family":"w2-bidirectional-text-layout-isolating-sequences-eos-after-isolate-initiator","id":"FA-80781","implementations":{"attempt":{"sha256":"816999e0a599a31823d105d0d6f1fa3d8bca6f0e77668f2ff35c3b072db3e336","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    classes, levels, para = x\n    n = len(classes)\n    match = {}\n    stack = []\n    for i, c in enumerate(classes):\n        if c in ('LRI', 'RLI', 'FSI'):\n            stack.append(i)\n        elif c == 'PDI' and stack:\n            match[stack.pop()] = i\n    runs = []\n    for i in range(n):\n        if runs and levels[i] == levels[runs[-1][-1]]:\n            runs[-1].append(i)\n        else:\n            runs.append([i])\n    start_of = {r[0]: r for r in runs}\n    seqs = []\n    used = set()\n    for r in runs:\n        if r[0] in used:\n            continue\n        seq = list(r)\n        used.add(r[0])\n        while True:\n            tail = seq[-1]\n            if classes[tail] not in ('LRI', 'RLI', 'FSI') or tail not in match:\n                break\n            nxt = start_of.get(match[tail])\n            if nxt is None:\n                break\n            seq.extend(nxt)\n            used.add(nxt[0])\n        seqs.append(seq)\n    out = []\n    for seq in seqs:\n        first, last = seq[0], seq[-1]\n        lv = levels[first]\n        prev = levels[first - 1] if first > 0 else para\n        sos = 'R' if max(lv, prev) % 2 else 'L'\n        if classes[last] in ('LRI', 'RLI', 'FSI') and last in match:\n            nxt_lv = para\n        else:\n            nxt_lv = levels[last + 1] if last + 1 < n else para\n        eos = 'R' if max(levels[last], nxt_lv) % 2 else 'L'\n        out.append([seq, sos, eos])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: eos after isolate initiator', [['EN', 'EN', 'LRI', 'ON', 'ON', 'ON', 'L', 'RLI', 'EN'], [2, 2, 1, 2, 2, 2, 2, 2, 3], 1], [[[0, 1], 'L', 'L'], [[2], 'L', 'R'], [[3, 4, 5, 6, 7], 'L', 'L'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['PDI', 'ON', 'PDI', 'RLI', 'ON', 'EN', 'ON', 'FSI', 'L', 'R', 'EN', 'ON'], [1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4, 5, 6, 7], 'R', 'R'], [[8, 9, 10, 11], 'L', 'L']]), ('regression: eos after isolate initiator', [['EN', 'LRI', 'R', 'LRI', 'R'], [2, 1, 2, 2, 5], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2, 3], 'L', 'L'], [[4], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['LRI', 'R', 'R', 'ON', 'ON', 'R', 'PDI', 'PDI', 'EN', 'EN', 'L', 'FSI', 'EN'], [0, 3, 3, 2, 2, 3, 0, 0, 0, 0, 0, 0, 2], 0], [[[0, 6, 7, 8, 9, 10, 11], 'L', 'L'], [[1, 2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[12], 'L', 'L']]), ('control layout', [['PDI', 'R', 'LRI', 'EN', 'ON', 'R', 'R', 'EN'], [0, 0, 0, 2, 2, 3, 2, 2], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'L', 'R'], [[5], 'R', 'R'], [[6, 7], 'R', 'L']])], [('regression: eos after isolate initiator', [['EN', 'L', 'R', 'L', 'PDI', 'R', 'PDI', 'R', 'EN', 'ON'], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0], 0], [[[0, 1], 'L', 'R'], [[2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[6, 7, 8, 9], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'FSI', 'FSI', 'L', 'PDI', 'R', 'R', 'PDI', 'EN', 'RLI', 'L', 'PDI', 'PDI'], [1, 1, 2, 4, 2, 2, 3, 1, 2, 1, 3, 1, 1], 1], [[[0, 1, 7], 'R', 'L'], [[2, 4, 5], 'L', 'R'], [[3], 'L', 'L'], [[6], 'R', 'R'], [[8], 'L', 'L'], [[9, 11, 12], 'L', 'R'], [[10], 'R', 'R']]), ('regression: eos after isolate initiator', [['EN', 'PDI', 'RLI', 'L', 'LRI', 'LRI', 'L', 'R', 'L'], [0, 0, 0, 1, 1, 2, 4, 4, 4], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'R', 'R'], [[5], 'L', 'L'], [[6, 7, 8], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'ON', 'RLI'], [1, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('control layout', [['PDI', 'L', 'PDI', 'L', 'LRI', 'ON', 'FSI', 'EN', 'R', 'PDI', 'L', 'PDI', 'EN'], [0, 0, 0, 0, 0, 2, 2, 4, 5, 2, 2, 0, 0], 0], [[[0, 1, 2, 3, 4, 11, 12], 'L', 'L'], [[5, 6, 9, 10], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R']]), ('control layout', [['L', 'ON', 'EN', 'ON', 'EN', 'EN', 'PDI', 'ON', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 0, 0], 0], [[[0, 1, 2, 3, 4, 5, 6, 7, 8], 'L', 'L']])], [('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'RLI', 'EN', 'EN', 'PDI'], [1, 2, 2, 2, 2, 3, 4, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4, 7], 'L', 'L'], [[5], 'R', 'L'], [[6], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'ON', 'ON', 'PDI', 'FSI', 'ON', 'R', 'ON', 'R'], [2, 1, 1, 1, 1, 2, 3, 2, 3], 1], [[[0], 'L', 'L'], [[1, 2, 3, 4], 'L', 'R'], [[5], 'L', 'R'], [[6], 'R', 'R'], [[7], 'R', 'R'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['ON', 'LRI', 'RLI'], [1, 1, 2], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['FSI', 'EN', 'ON', 'L', 'RLI', 'ON', 'PDI'], [0, 2, 2, 2, 2, 3, 2], 0], [[[0], 'L', 'L'], [[1, 2, 3, 4, 6], 'L', 'L'], [[5], 'R', 'R']]), ('control layout', [['LRI', 'PDI', 'ON', 'L', 'EN', 'L', 'R', 'RLI'], [1, 1, 1, 2, 1, 2, 1, 1], 1], [[[0, 1, 2], 'R', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'LRI', 'LRI', 'LRI', 'EN', 'PDI', 'R', 'FSI', 'EN', 'R', 'ON'], [2, 1, 2, 4, 6, 4, 4, 4, 6, 7, 6], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2], 'L', 'L'], [[3, 5, 6, 7], 'L', 'L'], [[4], 'L', 'L'], [[8], 'L', 'R'], [[9], 'R', 'R'], [[10], 'R', 'L']]), ('regression: eos after isolate initiator', [['R', 'R', 'ON', 'LRI', 'LRI', 'RLI', 'ON', 'L', 'R'], [1, 1, 1, 1, 2, 4, 5, 5, 5], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7, 8], 'R', 'R']]), ('regression: eos after isolate initiator', [['PDI', 'RLI', 'ON'], [0, 0, 1], 0], [[[0, 1], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['EN', 'EN', 'ON', 'PDI', 'LRI', 'PDI', 'FSI', 'L', 'R', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 2, 3, 2], 0], [[[0, 1, 2, 3, 4, 5, 6], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R'], [[9], 'R', 'L']]), ('control layout', [['EN', 'R', 'ON', 'EN'], [2, 1, 1, 1], 1], [[[0], 'L', 'L'], [[1, 2, 3], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'PDI', 'EN', 'EN', 'L', 'EN', 'PDI', 'FSI', 'ON', 'R', 'R', 'R', 'FSI'], [1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 3, 2], 1], [[[0, 1], 'R', 'L'], [[2], 'L', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5, 6, 7], 'L', 'R'], [[8], 'L', 'R'], [[9, 10, 11], 'R', 'R'], [[12], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'EN', 'PDI', 'R', 'PDI'], [0, 0, 0, 1, 0], 0], [[[0, 1, 2], 'L', 'R'], [[3], 'R', 'R'], [[4], 'R', 'L']]), ('regression: eos after isolate initiator', [['ON', 'FSI', 'FSI', 'FSI', 'R', 'PDI', 'FSI', 'EN', 'L', 'ON', 'ON', 'EN', 'L', 'L'], [1, 1, 2, 4, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L'], [[3, 5, 6], 'L', 'L'], [[4], 'L', 'L'], [[7, 8, 9, 10, 11, 12, 13], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('control layout', [['R', 'LRI', 'LRI', 'R', 'PDI', 'ON', 'PDI'], [1, 0, 2, 5, 2, 2, 0], 0], [[[0], 'R', 'R'], [[1, 6], 'R', 'L'], [[2, 4, 5], 'L', 'L'], [[3], 'R', 'R']]), ('control layout', [['PDI', 'R', 'FSI'], [0, 0, 0], 0], [[[0, 1, 2], 'L', 'L']])]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(args), 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":"0f98b144098cfe524f7a6c0762ca80847cae2d2d4e09fb8bd30a8ef2734efd4b","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    classes, levels, para = x\n    n = len(classes)\n    match = {}\n    stack = []\n    for i, c in enumerate(classes):\n        if c in ('LRI', 'RLI', 'FSI'):\n            stack.append(i)\n        elif c == 'PDI' and stack:\n            match[stack.pop()] = i\n    runs = []\n    for i in range(n):\n        if runs and levels[i] == levels[runs[-1][-1]]:\n            runs[-1].append(i)\n        else:\n            runs.append([i])\n    start_of = {r[0]: r for r in runs}\n    seqs = []\n    used = set()\n    for r in runs:\n        if r[0] in used:\n            continue\n        seq = list(r)\n        used.add(r[0])\n        while True:\n            tail = seq[-1]\n            if classes[tail] not in ('LRI', 'RLI', 'FSI') or tail not in match:\n                break\n            nxt = start_of.get(match[tail])\n            if nxt is None:\n                break\n            seq.extend(nxt)\n            used.add(nxt[0])\n        seqs.append(seq)\n    out = []\n    for seq in seqs:\n        first, last = seq[0], seq[-1]\n        lv = levels[first]\n        prev = levels[first - 1] if first > 0 else para\n        sos = 'R' if max(lv, prev) % 2 else 'L'\n        if classes[last] == 'PDI':\n            nxt_lv = para\n        else:\n            nxt_lv = levels[last + 1] if last + 1 < n else para\n        eos = 'R' if max(levels[last], nxt_lv) % 2 else 'L'\n        out.append([seq, sos, eos])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: eos after isolate initiator', [['EN', 'EN', 'LRI', 'ON', 'ON', 'ON', 'L', 'RLI', 'EN'], [2, 2, 1, 2, 2, 2, 2, 2, 3], 1], [[[0, 1], 'L', 'L'], [[2], 'L', 'R'], [[3, 4, 5, 6, 7], 'L', 'L'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['PDI', 'ON', 'PDI', 'RLI', 'ON', 'EN', 'ON', 'FSI', 'L', 'R', 'EN', 'ON'], [1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4, 5, 6, 7], 'R', 'R'], [[8, 9, 10, 11], 'L', 'L']]), ('regression: eos after isolate initiator', [['EN', 'LRI', 'R', 'LRI', 'R'], [2, 1, 2, 2, 5], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2, 3], 'L', 'L'], [[4], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['LRI', 'R', 'R', 'ON', 'ON', 'R', 'PDI', 'PDI', 'EN', 'EN', 'L', 'FSI', 'EN'], [0, 3, 3, 2, 2, 3, 0, 0, 0, 0, 0, 0, 2], 0], [[[0, 6, 7, 8, 9, 10, 11], 'L', 'L'], [[1, 2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[12], 'L', 'L']]), ('control layout', [['PDI', 'R', 'LRI', 'EN', 'ON', 'R', 'R', 'EN'], [0, 0, 0, 2, 2, 3, 2, 2], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'L', 'R'], [[5], 'R', 'R'], [[6, 7], 'R', 'L']])], [('regression: eos after isolate initiator', [['EN', 'L', 'R', 'L', 'PDI', 'R', 'PDI', 'R', 'EN', 'ON'], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0], 0], [[[0, 1], 'L', 'R'], [[2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[6, 7, 8, 9], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'FSI', 'FSI', 'L', 'PDI', 'R', 'R', 'PDI', 'EN', 'RLI', 'L', 'PDI', 'PDI'], [1, 1, 2, 4, 2, 2, 3, 1, 2, 1, 3, 1, 1], 1], [[[0, 1, 7], 'R', 'L'], [[2, 4, 5], 'L', 'R'], [[3], 'L', 'L'], [[6], 'R', 'R'], [[8], 'L', 'L'], [[9, 11, 12], 'L', 'R'], [[10], 'R', 'R']]), ('regression: eos after isolate initiator', [['EN', 'PDI', 'RLI', 'L', 'LRI', 'LRI', 'L', 'R', 'L'], [0, 0, 0, 1, 1, 2, 4, 4, 4], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'R', 'R'], [[5], 'L', 'L'], [[6, 7, 8], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'ON', 'RLI'], [1, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('control layout', [['PDI', 'L', 'PDI', 'L', 'LRI', 'ON', 'FSI', 'EN', 'R', 'PDI', 'L', 'PDI', 'EN'], [0, 0, 0, 0, 0, 2, 2, 4, 5, 2, 2, 0, 0], 0], [[[0, 1, 2, 3, 4, 11, 12], 'L', 'L'], [[5, 6, 9, 10], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R']]), ('control layout', [['L', 'ON', 'EN', 'ON', 'EN', 'EN', 'PDI', 'ON', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 0, 0], 0], [[[0, 1, 2, 3, 4, 5, 6, 7, 8], 'L', 'L']])], [('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'RLI', 'EN', 'EN', 'PDI'], [1, 2, 2, 2, 2, 3, 4, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4, 7], 'L', 'L'], [[5], 'R', 'L'], [[6], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'ON', 'ON', 'PDI', 'FSI', 'ON', 'R', 'ON', 'R'], [2, 1, 1, 1, 1, 2, 3, 2, 3], 1], [[[0], 'L', 'L'], [[1, 2, 3, 4], 'L', 'R'], [[5], 'L', 'R'], [[6], 'R', 'R'], [[7], 'R', 'R'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['ON', 'LRI', 'RLI'], [1, 1, 2], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['FSI', 'EN', 'ON', 'L', 'RLI', 'ON', 'PDI'], [0, 2, 2, 2, 2, 3, 2], 0], [[[0], 'L', 'L'], [[1, 2, 3, 4, 6], 'L', 'L'], [[5], 'R', 'R']]), ('control layout', [['LRI', 'PDI', 'ON', 'L', 'EN', 'L', 'R', 'RLI'], [1, 1, 1, 2, 1, 2, 1, 1], 1], [[[0, 1, 2], 'R', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'LRI', 'LRI', 'LRI', 'EN', 'PDI', 'R', 'FSI', 'EN', 'R', 'ON'], [2, 1, 2, 4, 6, 4, 4, 4, 6, 7, 6], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2], 'L', 'L'], [[3, 5, 6, 7], 'L', 'L'], [[4], 'L', 'L'], [[8], 'L', 'R'], [[9], 'R', 'R'], [[10], 'R', 'L']]), ('regression: eos after isolate initiator', [['R', 'R', 'ON', 'LRI', 'LRI', 'RLI', 'ON', 'L', 'R'], [1, 1, 1, 1, 2, 4, 5, 5, 5], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7, 8], 'R', 'R']]), ('regression: eos after isolate initiator', [['PDI', 'RLI', 'ON'], [0, 0, 1], 0], [[[0, 1], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['EN', 'EN', 'ON', 'PDI', 'LRI', 'PDI', 'FSI', 'L', 'R', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 2, 3, 2], 0], [[[0, 1, 2, 3, 4, 5, 6], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R'], [[9], 'R', 'L']]), ('control layout', [['EN', 'R', 'ON', 'EN'], [2, 1, 1, 1], 1], [[[0], 'L', 'L'], [[1, 2, 3], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'PDI', 'EN', 'EN', 'L', 'EN', 'PDI', 'FSI', 'ON', 'R', 'R', 'R', 'FSI'], [1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 3, 2], 1], [[[0, 1], 'R', 'L'], [[2], 'L', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5, 6, 7], 'L', 'R'], [[8], 'L', 'R'], [[9, 10, 11], 'R', 'R'], [[12], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'EN', 'PDI', 'R', 'PDI'], [0, 0, 0, 1, 0], 0], [[[0, 1, 2], 'L', 'R'], [[3], 'R', 'R'], [[4], 'R', 'L']]), ('regression: eos after isolate initiator', [['ON', 'FSI', 'FSI', 'FSI', 'R', 'PDI', 'FSI', 'EN', 'L', 'ON', 'ON', 'EN', 'L', 'L'], [1, 1, 2, 4, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L'], [[3, 5, 6], 'L', 'L'], [[4], 'L', 'L'], [[7, 8, 9, 10, 11, 12, 13], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('control layout', [['R', 'LRI', 'LRI', 'R', 'PDI', 'ON', 'PDI'], [1, 0, 2, 5, 2, 2, 0], 0], [[[0], 'R', 'R'], [[1, 6], 'R', 'L'], [[2, 4, 5], 'L', 'L'], [[3], 'R', 'R']]), ('control layout', [['PDI', 'R', 'FSI'], [0, 0, 0], 0], [[[0, 1, 2], 'L', 'L']])]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(args), 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":"824905a42249eecf68738aed5eb863acaeb466d74ae4cb1ca08cffa81fa05c96","source":"\"\"\"Failure Map reference implementation. Python standard library only.\"\"\"\nimport json\n\nN = 1\nobservations = []\ndef solve(x):\n    classes, levels, para = x\n    n = len(classes)\n    match = {}\n    stack = []\n    for i, c in enumerate(classes):\n        if c in ('LRI', 'RLI', 'FSI'):\n            stack.append(i)\n        elif c == 'PDI' and stack:\n            match[stack.pop()] = i\n    runs = []\n    for i in range(n):\n        if runs and levels[i] == levels[runs[-1][-1]]:\n            runs[-1].append(i)\n        else:\n            runs.append([i])\n    start_of = {r[0]: r for r in runs}\n    seqs = []\n    used = set()\n    for r in runs:\n        if r[0] in used:\n            continue\n        seq = list(r)\n        used.add(r[0])\n        while True:\n            tail = seq[-1]\n            if classes[tail] not in ('LRI', 'RLI', 'FSI') or tail not in match:\n                break\n            nxt = start_of.get(match[tail])\n            if nxt is None:\n                break\n            seq.extend(nxt)\n            used.add(nxt[0])\n        seqs.append(seq)\n    out = []\n    for seq in seqs:\n        first, last = seq[0], seq[-1]\n        lv = levels[first]\n        prev = levels[first - 1] if first > 0 else para\n        sos = 'R' if max(lv, prev) % 2 else 'L'\n        if classes[last] in ('LRI', 'RLI', 'FSI'):\n            nxt_lv = para\n        else:\n            nxt_lv = levels[last + 1] if last + 1 < n else para\n        eos = 'R' if max(levels[last], nxt_lv) % 2 else 'L'\n        out.append([seq, sos, eos])\n    return out\ndef check(label, actual, expected):\n    observations.append({\"check\": label, \"actual\": actual, \"expected\": expected, \"passed\": actual == expected})\nfixtures = [[('regression: eos after isolate initiator', [['EN', 'EN', 'LRI', 'ON', 'ON', 'ON', 'L', 'RLI', 'EN'], [2, 2, 1, 2, 2, 2, 2, 2, 3], 1], [[[0, 1], 'L', 'L'], [[2], 'L', 'R'], [[3, 4, 5, 6, 7], 'L', 'L'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['PDI', 'ON', 'PDI', 'RLI', 'ON', 'EN', 'ON', 'FSI', 'L', 'R', 'EN', 'ON'], [1, 1, 1, 1, 3, 3, 3, 3, 4, 4, 4, 4], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4, 5, 6, 7], 'R', 'R'], [[8, 9, 10, 11], 'L', 'L']]), ('regression: eos after isolate initiator', [['EN', 'LRI', 'R', 'LRI', 'R'], [2, 1, 2, 2, 5], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2, 3], 'L', 'L'], [[4], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['LRI', 'R', 'R', 'ON', 'ON', 'R', 'PDI', 'PDI', 'EN', 'EN', 'L', 'FSI', 'EN'], [0, 3, 3, 2, 2, 3, 0, 0, 0, 0, 0, 0, 2], 0], [[[0, 6, 7, 8, 9, 10, 11], 'L', 'L'], [[1, 2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[12], 'L', 'L']]), ('control layout', [['PDI', 'R', 'LRI', 'EN', 'ON', 'R', 'R', 'EN'], [0, 0, 0, 2, 2, 3, 2, 2], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'L', 'R'], [[5], 'R', 'R'], [[6, 7], 'R', 'L']])], [('regression: eos after isolate initiator', [['EN', 'L', 'R', 'L', 'PDI', 'R', 'PDI', 'R', 'EN', 'ON'], [0, 0, 1, 0, 0, 1, 0, 0, 0, 0], 0], [[[0, 1], 'L', 'R'], [[2], 'R', 'R'], [[3, 4], 'R', 'R'], [[5], 'R', 'R'], [[6, 7, 8, 9], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'FSI', 'FSI', 'L', 'PDI', 'R', 'R', 'PDI', 'EN', 'RLI', 'L', 'PDI', 'PDI'], [1, 1, 2, 4, 2, 2, 3, 1, 2, 1, 3, 1, 1], 1], [[[0, 1, 7], 'R', 'L'], [[2, 4, 5], 'L', 'R'], [[3], 'L', 'L'], [[6], 'R', 'R'], [[8], 'L', 'L'], [[9, 11, 12], 'L', 'R'], [[10], 'R', 'R']]), ('regression: eos after isolate initiator', [['EN', 'PDI', 'RLI', 'L', 'LRI', 'LRI', 'L', 'R', 'L'], [0, 0, 0, 1, 1, 2, 4, 4, 4], 0], [[[0, 1, 2], 'L', 'L'], [[3, 4], 'R', 'R'], [[5], 'L', 'L'], [[6, 7, 8], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'ON', 'RLI'], [1, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('control layout', [['PDI', 'L', 'PDI', 'L', 'LRI', 'ON', 'FSI', 'EN', 'R', 'PDI', 'L', 'PDI', 'EN'], [0, 0, 0, 0, 0, 2, 2, 4, 5, 2, 2, 0, 0], 0], [[[0, 1, 2, 3, 4, 11, 12], 'L', 'L'], [[5, 6, 9, 10], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R']]), ('control layout', [['L', 'ON', 'EN', 'ON', 'EN', 'EN', 'PDI', 'ON', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 0, 0], 0], [[[0, 1, 2, 3, 4, 5, 6, 7, 8], 'L', 'L']])], [('regression: eos after isolate initiator', [['R', 'L', 'PDI', 'FSI', 'ON'], [1, 2, 1, 1, 2], 1], [[[0], 'R', 'L'], [[1], 'L', 'L'], [[2, 3], 'L', 'R'], [[4], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'RLI', 'EN', 'EN', 'PDI'], [1, 2, 2, 2, 2, 3, 4, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4, 7], 'L', 'L'], [[5], 'R', 'L'], [[6], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'ON', 'ON', 'PDI', 'FSI', 'ON', 'R', 'ON', 'R'], [2, 1, 1, 1, 1, 2, 3, 2, 3], 1], [[[0], 'L', 'L'], [[1, 2, 3, 4], 'L', 'R'], [[5], 'L', 'R'], [[6], 'R', 'R'], [[7], 'R', 'R'], [[8], 'R', 'R']]), ('regression: eos after isolate initiator', [['ON', 'LRI', 'RLI'], [1, 1, 2], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['FSI', 'EN', 'ON', 'L', 'RLI', 'ON', 'PDI'], [0, 2, 2, 2, 2, 3, 2], 0], [[[0], 'L', 'L'], [[1, 2, 3, 4, 6], 'L', 'L'], [[5], 'R', 'R']]), ('control layout', [['LRI', 'PDI', 'ON', 'L', 'EN', 'L', 'R', 'RLI'], [1, 1, 1, 2, 1, 2, 1, 1], 1], [[[0, 1, 2], 'R', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('regression: eos after isolate initiator', [['L', 'LRI', 'LRI', 'LRI', 'EN', 'PDI', 'R', 'FSI', 'EN', 'R', 'ON'], [2, 1, 2, 4, 6, 4, 4, 4, 6, 7, 6], 1], [[[0], 'L', 'L'], [[1], 'L', 'R'], [[2], 'L', 'L'], [[3, 5, 6, 7], 'L', 'L'], [[4], 'L', 'L'], [[8], 'L', 'R'], [[9], 'R', 'R'], [[10], 'R', 'L']]), ('regression: eos after isolate initiator', [['R', 'R', 'ON', 'LRI', 'LRI', 'RLI', 'ON', 'L', 'R'], [1, 1, 1, 1, 2, 4, 5, 5, 5], 1], [[[0, 1, 2, 3], 'R', 'R'], [[4], 'L', 'L'], [[5], 'L', 'L'], [[6, 7, 8], 'R', 'R']]), ('regression: eos after isolate initiator', [['PDI', 'RLI', 'ON'], [0, 0, 1], 0], [[[0, 1], 'L', 'L'], [[2], 'R', 'R']]), ('unmatched initiator at end', [['L', 'R', 'RLI'], [0, 1, 1], 0], [[[0], 'L', 'R'], [[1, 2], 'R', 'R']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('control layout', [['EN', 'EN', 'ON', 'PDI', 'LRI', 'PDI', 'FSI', 'L', 'R', 'RLI'], [0, 0, 0, 0, 0, 0, 0, 2, 3, 2], 0], [[[0, 1, 2, 3, 4, 5, 6], 'L', 'L'], [[7], 'L', 'R'], [[8], 'R', 'R'], [[9], 'R', 'L']]), ('control layout', [['EN', 'R', 'ON', 'EN'], [2, 1, 1, 1], 1], [[[0], 'L', 'L'], [[1, 2, 3], 'L', 'R']])], [('regression: eos after isolate initiator', [['LRI', 'PDI', 'EN', 'EN', 'L', 'EN', 'PDI', 'FSI', 'ON', 'R', 'R', 'R', 'FSI'], [1, 1, 2, 1, 2, 1, 1, 1, 2, 3, 3, 3, 2], 1], [[[0, 1], 'R', 'L'], [[2], 'L', 'L'], [[3], 'L', 'L'], [[4], 'L', 'L'], [[5, 6, 7], 'L', 'R'], [[8], 'L', 'R'], [[9, 10, 11], 'R', 'R'], [[12], 'R', 'L']]), ('regression: eos after isolate initiator', [['EN', 'EN', 'PDI', 'R', 'PDI'], [0, 0, 0, 1, 0], 0], [[[0, 1, 2], 'L', 'R'], [[3], 'R', 'R'], [[4], 'R', 'L']]), ('regression: eos after isolate initiator', [['ON', 'FSI', 'FSI', 'FSI', 'R', 'PDI', 'FSI', 'EN', 'L', 'ON', 'ON', 'EN', 'L', 'L'], [1, 1, 2, 4, 6, 4, 4, 6, 6, 6, 6, 6, 6, 6], 1], [[[0, 1], 'R', 'R'], [[2], 'L', 'L'], [[3, 5, 6], 'L', 'L'], [[4], 'L', 'L'], [[7, 8, 9, 10, 11, 12, 13], 'L', 'L']]), ('regression: eos after isolate initiator', [['LRI', 'L', 'ON', 'ON', 'R'], [1, 2, 2, 2, 2], 1], [[[0], 'R', 'R'], [[1, 2, 3, 4], 'L', 'L']]), ('nested isolates', [['R', 'LRI', 'L', 'RLI', 'R', 'PDI', 'PDI', 'R'], [1, 1, 2, 2, 3, 2, 1, 1], 1], [[[0, 1, 6, 7], 'R', 'R'], [[2, 3, 5], 'L', 'L'], [[4], 'R', 'R']]), ('isolate joins outer run', [['L', 'RLI', 'R', 'PDI', 'L'], [0, 0, 1, 0, 0], 0], [[[0, 1, 3, 4], 'L', 'L'], [[2], 'R', 'R']]), ('control layout', [['R', 'LRI', 'LRI', 'R', 'PDI', 'ON', 'PDI'], [1, 0, 2, 5, 2, 2, 0], 0], [[[0], 'R', 'R'], [[1, 6], 'R', 'L'], [[2, 4, 5], 'L', 'L'], [[3], 'R', 'R']]), ('control layout', [['PDI', 'R', 'FSI'], [0, 0, 0], 0], [[[0, 1, 2], 'L', 'L']])]]\nfor label, args, expected in fixtures[N - 1]:\n    check(label, solve(args), 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":"A deterministic toy bidi model over stipulated class labels and integer levels; it is inspired by, but does not claim conformance to, any published algorithm. 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":"w2-bidirectional-text-layout-isolating-sequences-eos-after-isolate-initiator","generated_at":"2026-09-29T14:49:56.967933+00:00","license":"CC0-1.0","python":"3.12.14","seed":1,"split":"open-access"},"relevance":"Mixed right-to-left and left-to-right text must resolve levels and visual order exactly, or words, numbers and carets land in the wrong place.","repair":"Use the paragraph level after a trailing isolate initiator.","root_cause":"The initiator check tests the wrong class.","sha256":"1767a56669c68401f7a43f41643c6044872373291a5c0939bfd3ab798c7b3715","title":"Isolating run sequences: eos after isolate initiator · case 01","variant":1,"variant_policy":"Five numbered records share a model and may reuse boundary fixtures.","verification":{"attempt":{"elapsed_ms":41.521,"exit_code":1,"observations":[{"actual":[[[0,1],"L","L"],[[2],"L","L"],[[3,4,5,6,7],"L","R"],[[8],"R","R"]],"check":"regression: eos after isolate initiator","expected":[[[0,1],"L","L"],[[2],"L","R"],[[3,4,5,6,7],"L","L"],[[8],"R","R"]],"passed":false},{"actual":[[[0],"R","L"],[[1],"L","L"],[[2,3],"L","L"],[[4],"L","L"]],"check":"regression: eos after isolate initiator","expected":[[[0],"R","L"],[[1],"L","L"],[[2,3],"L","R"],[[4],"L","L"]],"passed":false},{"actual":[[[0,1,2,3],"R","R"],[[4,5,6,7],"R","L"],[[8,9,10,11],"L","L"]],"check":"regression: eos after isolate initiator","expected":[[[0,1,2,3],"R","R"],[[4,5,6,7],"R","R"],[[8,9,10,11],"L","L"]],"passed":false},{"actual":[[[0],"L","L"],[[1],"L","L"],[[2,3],"L","R"],[[4],"R","R"]],"check":"regression: eos after isolate 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