{ "generatedAt": "2026-10-13T02:43:09.959Z", "levels": 56, "passed": 56, "modeCount": 7, "uniqueAll": true, "mechanismsNecessaryAll": true, "humanDifficultyCalibrated": false, "results": [ { "mode": "relative", "title": "相对步差", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c5", "c4", "c1", "c0", "c3" ] } ], "digital": [], "goal": "认识差值与中间格数量", "authorPath": [ "c2", "c1", "c0", "c3", "c4", "c5" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c2", "c5", "c4", "c7", "c6", "c3", "c0" ] } ], "digital": [], "goal": "用间隔排除直达路线", "authorPath": [ "c1", "c0", "c3", "c6", "c7", "c4", "c5", "c2" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "03", "difficulty": "普通", "n": 10, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c4", "c5", "c8", "c9", "c6", "c7", "c3", "c2", "c1" ] } ], "digital": [], "goal": "两端绝对步号都未知", "authorPath": [ "c0", "c4", "c5", "c1", "c2", "c3", "c7", "c6", "c9", "c8" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c3", "c7", "c11", "c10", "c9", "c5", "c6", "c2", "c1", "c0", "c4", "c8" ] }, { "constraint": "relation:1", "solutionsAfterRemoval": "至少2", "witness": [ "c3", "c2", "c1", "c0", "c4", "c8", "c9", "c5", "c6", "c7", "c11", "c10" ] } ], "digital": [], "goal": "两条独立关系共同选路", "authorPath": [ "c3", "c2", "c1", "c0", "c4", "c8", "c9", "c10", "c11", "c7", "c6", "c5" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7", "c11", "c10", "c9", "c12", "c13" ] }, { "constraint": "relation:1", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c10", "c13", "c12", "c9", "c5", "c6" ] } ], "digital": [], "goal": "共享端点的关系联动", "authorPath": [ "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c10", "c6", "c5", "c9", "c12", "c13" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c12", "c13", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6", "c10", "c9" ] }, { "constraint": "relation:1", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c12", "c13", "c9", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c6", "c10", "c11", "c15", "c14" ] } ], "digital": [], "goal": "间隔决定先处理哪个区域", "authorPath": [ "c8", "c12", "c13", "c9", "c10", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c7", "c3", "c2", "c6", "c5", "c1", "c0", "c4", "c8", "c12", "c13", "c9", "c10", "c14", "c17", "c16" ] }, { "constraint": "relation:1", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c10", "c9", "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c16", "c17", "c14" ] }, { "constraint": "relation:2", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c7", "c3", "c2", "c6", "c10", "c9", "c5", "c1", "c0", "c4", "c8", "c12", "c13", "c14", "c17", "c16" ] } ], "digital": [], "goal": "三条关系跨区联动", "authorPath": [ "c15", "c11", "c7", "c3", "c2", "c6", "c10", "c9", "c5", "c1", "c0", "c4", "c8", "c12", "c13", "c16", "c17", "c14" ], "unknownStart": false }, { "mode": "relative", "title": "相对步差", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "relation:0", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c4", "c0", "c1", "c5", "c9", "c13", "c12", "c16", "c17", "c18", "c14", "c15", "c11", "c10", "c6", "c2", "c3", "c7" ] }, { "constraint": "relation:1", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c14", "c18", "c17", "c16", "c12", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c10", "c6", "c5", "c9", "c13" ] } ], "digital": [ { "cell": "c10", "step": 15, "necessary": true } ], "goal": "无固定起点,联合推断关系位置", "authorPath": [ "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c9", "c5", "c6", "c10", "c14", "c18", "c17", "c16" ], "unknownStart": true }, { "mode": "order", "title": "先后链", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c1", "c0", "c3", "c4", "c5" ] } ], "digital": [ { "cell": "c3", "step": 4, "necessary": true } ], "goal": "A 必须先于 B", "authorPath": [ "c2", "c5", "c4", "c3", "c0", "c1" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c3", "c6", "c7", "c4", "c5", "c2", "c1", "c0" ] } ], "digital": [], "goal": "靠近 B 也要先绕到 A", "authorPath": [ "c3", "c0", "c1", "c2", "c5", "c4", "c7", "c6" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "03", "difficulty": "普通", "n": 10, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c6", "c9" ] }, { "constraint": "order:0:1", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c9", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c5" ] } ], "digital": [], "goal": "三标记决定区域顺序", "authorPath": [ "c8", "c9", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c9", "c10", "c11", "c7", "c3", "c2", "c6", "c5", "c1", "c0", "c4", "c8" ] }, { "constraint": "order:1:0", "solutionsAfterRemoval": "至少2", "witness": [ "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7", "c11", "c10" ] } ], "digital": [ { "cell": "c6", "step": 7, "necessary": true } ], "goal": "两条独立先后关系", "authorPath": [ "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c10", "c11", "c7", "c3", "c2" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c1", "c0", "c4", "c8", "c9", "c12", "c13", "c10", "c6", "c2", "c3", "c7", "c11" ] }, { "constraint": "order:1:0", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c6", "c10", "c13", "c12", "c9", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11" ] } ], "digital": [ { "cell": "c7", "step": 13, "necessary": true } ], "goal": "共享标记形成部分顺序", "authorPath": [ "c5", "c6", "c2", "c1", "c0", "c4", "c8", "c9", "c12", "c13", "c10", "c11", "c7", "c3" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c2", "c3", "c7", "c11", "c15", "c14", "c10", "c9", "c5", "c1", "c0", "c4", "c8", "c12", "c13" ] }, { "constraint": "order:0:1", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c5", "c9", "c10", "c11", "c15", "c14", "c13", "c12", "c8", "c4", "c0", "c1", "c2", "c3", "c7" ] } ], "digital": [ { "cell": "c0", "step": 12, "necessary": true } ], "goal": "访问标记时保留后续出口", "authorPath": [ "c6", "c5", "c9", "c10", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c13", "c12", "c8", "c9", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c6", "c10", "c11", "c15", "c14", "c17" ] }, { "constraint": "order:0:1", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c17", "c14", "c15", "c11", "c10", "c9", "c13", "c12", "c8", "c4", "c5", "c6", "c7", "c3", "c2", "c1", "c0" ] }, { "constraint": "order:1:0", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c17", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6", "c10", "c9", "c8", "c12", "c13" ] }, { "constraint": "order:1:1", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c17", "c14", "c13", "c12", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c6", "c5", "c9", "c10", "c11", "c15" ] } ], "digital": [ { "cell": "c6", "step": 13, "necessary": true } ], "goal": "两条链交错安排", "authorPath": [ "c16", "c17", "c14", "c13", "c12", "c8", "c4", "c0", "c1", "c5", "c9", "c10", "c6", "c2", "c3", "c7", "c11", "c15" ], "unknownStart": false }, { "mode": "order", "title": "先后链", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "order:0:0", "solutionsAfterRemoval": "至少2", "witness": [ "c13", "c17", "c16", "c12", "c8", "c9", "c10", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c18" ] }, { "constraint": "order:0:1", "solutionsAfterRemoval": "至少2", "witness": [ "c18", "c17", "c16", "c12", "c8", "c9", "c10", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c13" ] }, { "constraint": "order:1:0", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c4", "c8", "c12", "c13", "c9", "c10", "c6", "c5", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c18", "c17", "c16" ] }, { "constraint": "order:1:1", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c12", "c8", "c4", "c5", "c6", "c10", "c9", "c13", "c17", "c18", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0" ] } ], "digital": [ { "cell": "c10", "step": 7, "necessary": true } ], "goal": "无固定起点,由次序确定全路", "authorPath": [ "c8", "c12", "c16", "c17", "c13", "c9", "c10", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c18" ], "unknownStart": true }, { "mode": "window", "title": "到达窗口", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c1", "c2", "c5", "c4", "c3" ] } ], "digital": [ { "cell": "c5", "step": 4, "necessary": true } ], "goal": "认识允许范围", "authorPath": [ "c0", "c3", "c4", "c5", "c2", "c1" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c0", "c3", "c6", "c7", "c4", "c5", "c2" ] } ], "digital": [], "goal": "排除过早到达", "authorPath": [ "c1", "c2", "c5", "c4", "c7", "c6", "c3", "c0" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "03", "difficulty": "普通", "n": 10, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c9", "c8", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c6" ] } ], "digital": [ { "cell": "c8", "step": 2, "necessary": true } ], "goal": "窗口迫使先绕行", "authorPath": [ "c9", "c8", "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c5", "c4", "c8", "c9", "c10", "c11", "c7", "c3", "c2", "c1", "c0" ] }, { "constraint": "window:1", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c5", "c1", "c0", "c4", "c8", "c9", "c10", "c11", "c7", "c3", "c2" ] } ], "digital": [], "goal": "两个窗口限制早到与晚到", "authorPath": [ "c6", "c5", "c9", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c10" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c13", "c12", "c9", "c5", "c6", "c10", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c8" ] }, { "constraint": "window:1", "solutionsAfterRemoval": "至少2", "witness": [ "c13", "c12", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7", "c11", "c10" ] } ], "digital": [], "goal": "宽窗口与跨区顺序联动", "authorPath": [ "c13", "c12", "c9", "c8", "c4", "c5", "c6", "c10", "c11", "c7", "c3", "c2", "c1", "c0" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c4", "c0", "c1", "c5", "c9", "c8", "c12", "c13", "c14", "c10", "c6", "c2", "c3", "c7", "c11", "c15" ] }, { "constraint": "window:1", "solutionsAfterRemoval": "至少2", "witness": [ "c4", "c0", "c1", "c2", "c3", "c7", "c6", "c5", "c9", "c8", "c12", "c13", "c14", "c10", "c11", "c15" ] } ], "digital": [], "goal": "重叠窗口决定访问次序", "authorPath": [ "c4", "c8", "c12", "c13", "c14", "c15", "c11", "c7", "c3", "c2", "c6", "c10", "c9", "c5", "c1", "c0" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c10", "c9", "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c14", "c17", "c16" ] }, { "constraint": "window:1", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c7", "c3", "c2", "c6", "c5", "c1", "c0", "c4", "c8", "c12", "c13", "c9", "c10", "c14", "c17", "c16" ] }, { "constraint": "window:2", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6", "c10", "c9", "c8", "c12", "c13", "c14", "c17", "c16" ] } ], "digital": [], "goal": "三个窗口分配路线区间", "authorPath": [ "c15", "c11", "c7", "c3", "c2", "c6", "c5", "c9", "c10", "c14", "c17", "c16", "c13", "c12", "c8", "c4", "c0", "c1" ], "unknownStart": false }, { "mode": "window", "title": "到达窗口", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "window:0", "solutionsAfterRemoval": "至少2", "witness": [ "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c16", "c17", "c13", "c9", "c5", "c6", "c10", "c11", "c15", "c14", "c18" ] }, { "constraint": "window:1", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c18", "c17", "c13", "c9", "c10", "c6", "c5", "c4", "c8", "c12", "c16" ] }, { "constraint": "window:2", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c3", "c7", "c11", "c15", "c14", "c18", "c17", "c16", "c12", "c13", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c10" ] } ], "digital": [ { "cell": "c9", "step": 12, "necessary": true } ], "goal": "无固定起点,由窗口确定路线", "authorPath": [ "c2", "c3", "c7", "c11", "c15", "c14", "c18", "c17", "c16", "c12", "c13", "c9", "c10", "c6", "c5", "c1", "c0", "c4", "c8" ], "unknownStart": true }, { "mode": "direction", "title": "直行/转弯", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "direction:c4", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c5", "c4", "c1", "c0", "c3" ] } ], "digital": [ { "cell": "c5", "step": 2, "necessary": true } ], "goal": "直行格决定出口", "authorPath": [ "c2", "c5", "c4", "c3", "c0", "c1" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "direction:c0", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c2", "c5", "c4", "c7", "c6", "c3", "c0" ] } ], "digital": [], "goal": "转弯格排除直行", "authorPath": [ "c1", "c0", "c3", "c6", "c7", "c4", "c5", "c2" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "03", "difficulty": "普通", "n": 10, "unique": true, "mechanisms": [ { "constraint": "direction:c5", "solutionsAfterRemoval": "至少2", "witness": [ "c7", "c3", "c2", "c6", "c9", "c8", "c5", "c4", "c0", "c1" ] }, { "constraint": "direction:c6", "solutionsAfterRemoval": "至少2", "witness": [ "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6", "c9", "c8" ] } ], "digital": [], "goal": "两个直行格联动", "authorPath": [ "c7", "c3", "c2", "c6", "c9", "c8", "c5", "c1", "c0", "c4" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "direction:c6", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c9", "c10", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c11" ] }, { "constraint": "direction:c10", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c9", "c10", "c11", "c7", "c6", "c5", "c4", "c0", "c1", "c2", "c3" ] } ], "digital": [ { "cell": "c9", "step": 2, "necessary": true } ], "goal": "直行与转弯共同选路", "authorPath": [ "c8", "c9", "c5", "c4", "c0", "c1", "c2", "c6", "c10", "c11", "c7", "c3" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "direction:c1", "solutionsAfterRemoval": "至少2", "witness": [ "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c9", "c5", "c6", "c10", "c13", "c12" ] }, { "constraint": "direction:c7", "solutionsAfterRemoval": "至少2", "witness": [ "c11", "c10", "c13", "c12", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7" ] } ], "digital": [ { "cell": "c5", "step": 10, "necessary": true } ], "goal": "方向要求迫使绕行", "authorPath": [ "c11", "c7", "c3", "c2", "c6", "c10", "c13", "c12", "c9", "c5", "c1", "c0", "c4", "c8" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "direction:c2", "solutionsAfterRemoval": "至少2", "witness": [ "c9", "c8", "c12", "c13", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c5", "c6", "c10" ] }, { "constraint": "direction:c11", "solutionsAfterRemoval": "至少2", "witness": [ "c9", "c10", "c11", "c15", "c14", "c13", "c12", "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7" ] } ], "digital": [ { "cell": "c1", "step": 11, "necessary": true } ], "goal": "方向决定区域入口出口", "authorPath": [ "c9", "c10", "c14", "c15", "c11", "c7", "c3", "c2", "c6", "c5", "c1", "c0", "c4", "c8", "c12", "c13" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "direction:c5", "solutionsAfterRemoval": "至少2", "witness": [ "c12", "c8", "c9", "c13", "c16", "c17", "c14", "c10", "c6", "c5", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c15" ] }, { "constraint": "direction:c6", "solutionsAfterRemoval": "至少2", "witness": [ "c12", "c13", "c16", "c17", "c14", "c15", "c11", "c10", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c7", "c3", "c2" ] }, { "constraint": "direction:c10", "solutionsAfterRemoval": "至少2", "witness": [ "c12", "c8", "c4", "c0", "c1", "c5", "c6", "c10", "c9", "c13", "c16", "c17", "c14", "c15", "c11", "c7", "c3", "c2" ] } ], "digital": [ { "cell": "c10", "step": 8, "necessary": true } ], "goal": "多个方向跨区联动", "authorPath": [ "c12", "c13", "c16", "c17", "c14", "c15", "c11", "c10", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7" ], "unknownStart": false }, { "mode": "direction", "title": "直行/转弯", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "direction:c0", "solutionsAfterRemoval": "至少2", "witness": [ "c16", "c12", "c8", "c4", "c5", "c6", "c10", "c9", "c13", "c17", "c18", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0" ] }, { "constraint": "direction:c7", "solutionsAfterRemoval": "至少2", "witness": [ "c15", "c11", "c10", "c9", "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c16", "c17", "c13", "c14", "c18" ] }, { "constraint": "direction:c17", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c4", "c0", "c1", "c5", "c6", "c2", "c3", "c7", "c11", "c15", "c14", "c10", "c9", "c13", "c12", "c16", "c17", "c18" ] } ], "digital": [ { "cell": "c5", "step": 5, "necessary": true }, { "cell": "c6", "step": 6, "necessary": true } ], "goal": "无固定起点,方向确定两端", "authorPath": [ "c18", "c17", "c13", "c9", "c5", "c6", "c10", "c14", "c15", "c11", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c16" ], "unknownStart": true }, { "mode": "block-alternation", "title": "大格交替", "level": "01", "difficulty": "入门", "n": 7, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c3", "c4", "c1", "c0", "c2", "c5", "c6" ] } ], "digital": [], "goal": "认识交替、整块一步", "authorPath": [ "c3", "c6", "c5", "c2", "c0", "c1", "c4" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "02", "difficulty": "入门", "n": 9, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c7", "c8", "c5", "c6", "c2", "c1", "c0", "c3", "c4" ] } ], "digital": [], "goal": "大格旁同类相邻但不能走", "authorPath": [ "c7", "c8", "c5", "c6", "c2", "c1", "c0", "c4", "c3" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "03", "difficulty": "普通", "n": 11, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c1", "c5", "c6", "c10", "c9", "c8", "c4", "c0", "c3", "c7" ] } ], "digital": [ { "cell": "c0", "step": 9, "necessary": true } ], "goal": "类别数量决定端点类别", "authorPath": [ "c2", "c6", "c10", "c9", "c8", "c7", "c3", "c4", "c0", "c1", "c5" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "04", "difficulty": "普通", "n": 13, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c4", "c0", "c3", "c7", "c8", "c11", "c12", "c9", "c10", "c6", "c2", "c1", "c5" ] } ], "digital": [], "goal": "大格出口由类别筛选", "authorPath": [ "c4", "c5", "c6", "c10", "c9", "c12", "c11", "c8", "c7", "c3", "c0", "c1", "c2" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "05", "difficulty": "进阶", "n": 13, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c1", "c0", "c5", "c9", "c10", "c11", "c12", "c8", "c4", "c7", "c6", "c3" ] } ], "digital": [ { "cell": "c7", "step": 11, "necessary": true } ], "goal": "异形凹口与交替联动", "authorPath": [ "c2", "c1", "c0", "c5", "c9", "c10", "c6", "c3", "c4", "c8", "c7", "c11", "c12" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "06", "difficulty": "进阶", "n": 15, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c2", "c4", "c8", "c12", "c11", "c14", "c13", "c10", "c9", "c5", "c0", "c3", "c6", "c7" ] } ], "digital": [ { "cell": "c13", "step": 8, "necessary": true } ], "goal": "跨区保留异类出口", "authorPath": [ "c1", "c0", "c3", "c6", "c5", "c9", "c10", "c13", "c14", "c11", "c12", "c8", "c7", "c4", "c2" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "07", "difficulty": "难", "n": 16, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c13", "c9", "c5", "c0", "c1", "c2", "c4", "c3", "c6", "c7", "c8", "c12", "c11", "c10", "c14", "c15" ] } ], "digital": [ { "cell": "c10", "step": 14, "necessary": true } ], "goal": "多个大格异形分配路线", "authorPath": [ "c13", "c9", "c5", "c6", "c3", "c0", "c1", "c2", "c4", "c7", "c8", "c12", "c11", "c10", "c14", "c15" ], "unknownStart": false }, { "mode": "block-alternation", "title": "大格交替", "level": "08", "difficulty": "难", "n": 17, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c11", "c10", "c6", "c7", "c8", "c12", "c16", "c15", "c14", "c13", "c9", "c5", "c0", "c3", "c4", "c2", "c1" ] } ], "digital": [ { "cell": "c6", "step": 3, "necessary": true }, { "cell": "c8", "step": 5, "necessary": true }, { "cell": "c10", "step": 2, "necessary": true } ], "goal": "无固定起点,由类别确定两端", "authorPath": [ "c11", "c10", "c6", "c7", "c8", "c12", "c16", "c15", "c14", "c13", "c9", "c5", "c0", "c3", "c4", "c1", "c2" ], "unknownStart": true }, { "mode": "hex-alternation", "title": "六边交替", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c0", "c2", "c3", "c4", "c5" ] } ], "digital": [], "goal": "六向邻接中的异类选择", "authorPath": [ "c1", "c0", "c2", "c4", "c3", "c5" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c7", "c6", "c5", "c4", "c3", "c1", "c0", "c2" ] } ], "digital": [ { "cell": "c1", "step": 6, "necessary": true } ], "goal": "三角邻接的同类边被排除", "authorPath": [ "c7", "c5", "c6", "c4", "c3", "c1", "c0", "c2" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "03", "difficulty": "普通", "n": 11, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c8", "c10", "c9", "c7", "c6", "c5", "c4", "c3", "c1", "c0", "c2" ] } ], "digital": [], "goal": "类别数量限制端点", "authorPath": [ "c8", "c10", "c9", "c7", "c6", "c4", "c5", "c3", "c1", "c2", "c0" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c10", "c11", "c9", "c8", "c7", "c6", "c4", "c2", "c0", "c1", "c3", "c5" ] } ], "digital": [], "goal": "空洞附近选择异类格", "authorPath": [ "c10", "c11", "c9", "c7", "c8", "c6", "c4", "c2", "c0", "c1", "c3", "c5" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c11", "c13", "c12", "c10", "c9", "c8", "c7", "c6", "c5", "c4", "c2", "c3", "c1", "c0" ] } ], "digital": [ { "cell": "c3", "step": 12, "necessary": true } ], "goal": "局部类别决定跨区顺序", "authorPath": [ "c11", "c13", "c12", "c10", "c9", "c8", "c6", "c7", "c5", "c4", "c2", "c3", "c1", "c0" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c4", "c5", "c2", "c1", "c0", "c3", "c6", "c7", "c8", "c9", "c10", "c11", "c12", "c14", "c13", "c15" ] } ], "digital": [ { "cell": "c14", "step": 14, "necessary": true } ], "goal": "连续分叉中保留出口", "authorPath": [ "c4", "c5", "c2", "c1", "c0", "c3", "c6", "c7", "c9", "c8", "c10", "c11", "c12", "c14", "c15", "c13" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c14", "c17", "c16", "c13", "c15", "c12", "c11", "c10", "c8", "c9", "c7", "c6", "c3", "c0", "c1", "c2", "c5", "c4" ] } ], "digital": [], "goal": "三个区域类别出口联动", "authorPath": [ "c14", "c17", "c16", "c13", "c15", "c12", "c11", "c10", "c8", "c9", "c7", "c6", "c3", "c0", "c1", "c2", "c4", "c5" ], "unknownStart": false }, { "mode": "hex-alternation", "title": "六边交替", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "alternation", "solutionsAfterRemoval": "至少2", "witness": [ "c18", "c17", "c14", "c16", "c13", "c15", "c12", "c11", "c10", "c8", "c9", "c7", "c6", "c3", "c4", "c5", "c2", "c1", "c0" ] } ], "digital": [ { "cell": "c1", "step": 18, "necessary": true }, { "cell": "c14", "step": 3, "necessary": true } ], "goal": "无固定起点,由类别确定全路", "authorPath": [ "c18", "c17", "c14", "c16", "c15", "c13", "c12", "c11", "c10", "c8", "c9", "c7", "c6", "c3", "c4", "c5", "c2", "c1", "c0" ], "unknownStart": true }, { "mode": "gates", "title": "路径开门", "level": "01", "difficulty": "入门", "n": 6, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c1", "c2", "c5", "c4", "c3", "c0" ] } ], "digital": [], "goal": "先踩开关再过门", "authorPath": [ "c1", "c0", "c3", "c4", "c5", "c2" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "02", "difficulty": "入门", "n": 8, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c5", "c4", "c7", "c6", "c3", "c0", "c1" ] } ], "digital": [ { "cell": "c6", "step": 5, "necessary": true } ], "goal": "绕行到开关", "authorPath": [ "c2", "c1", "c0", "c3", "c6", "c7", "c4", "c5" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "03", "difficulty": "普通", "n": 10, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c4", "c5", "c8", "c9", "c6", "c7", "c3", "c2", "c1" ] } ], "digital": [ { "cell": "c6", "step": 6, "necessary": true } ], "goal": "开门后不能立刻穿过去", "authorPath": [ "c0", "c1", "c2", "c3", "c7", "c6", "c9", "c8", "c5", "c4" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "04", "difficulty": "普通", "n": 12, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c4", "c8", "c9", "c5", "c1", "c2", "c6", "c10", "c11", "c7", "c3" ] }, { "constraint": "gate:1", "solutionsAfterRemoval": "至少2", "witness": [ "c0", "c1", "c2", "c3", "c7", "c11", "c10", "c6", "c5", "c4", "c8", "c9" ] } ], "digital": [ { "cell": "c6", "step": 8, "necessary": true } ], "goal": "两对独立门与开关", "authorPath": [ "c0", "c1", "c5", "c4", "c8", "c9", "c10", "c6", "c2", "c3", "c7", "c11" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "05", "difficulty": "进阶", "n": 14, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c5", "c1", "c0", "c4", "c8", "c9", "c12", "c13", "c10", "c11", "c7", "c3", "c2" ] }, { "constraint": "gate:1", "solutionsAfterRemoval": "至少2", "witness": [ "c6", "c2", "c3", "c7", "c11", "c10", "c13", "c12", "c9", "c8", "c4", "c0", "c1", "c5" ] } ], "digital": [], "goal": "第一门后才能到第二开关", "authorPath": [ "c6", "c5", "c9", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c10", "c13", "c12" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "06", "difficulty": "进阶", "n": 16, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c9", "c13", "c12", "c8", "c4", "c0", "c1", "c2", "c3", "c7", "c11", "c15", "c14", "c10", "c6" ] }, { "constraint": "gate:1", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c14", "c15", "c11", "c10", "c9" ] } ], "digital": [ { "cell": "c10", "step": 15, "necessary": true } ], "goal": "开关顺序与区域收尾", "authorPath": [ "c5", "c1", "c0", "c4", "c8", "c12", "c13", "c14", "c15", "c11", "c7", "c3", "c2", "c6", "c10", "c9" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "07", "difficulty": "难", "n": 18, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c4", "c0", "c1", "c2", "c6", "c10", "c9", "c8", "c12", "c13", "c16", "c17", "c14", "c15", "c11", "c7", "c3" ] }, { "constraint": "gate:1", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c9", "c10", "c6", "c7", "c11", "c15", "c14", "c17", "c16", "c13", "c12", "c8", "c4", "c0", "c1", "c2", "c3" ] }, { "constraint": "gate:2", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c16", "c17", "c14", "c15", "c11", "c10", "c9" ] } ], "digital": [ { "cell": "c13", "step": 11, "necessary": true } ], "goal": "三对门形成依赖链", "authorPath": [ "c5", "c6", "c7", "c3", "c2", "c1", "c0", "c4", "c8", "c12", "c13", "c9", "c10", "c11", "c15", "c14", "c17", "c16" ], "unknownStart": false }, { "mode": "gates", "title": "路径开门", "level": "08", "difficulty": "难", "n": 19, "unique": true, "mechanisms": [ { "constraint": "gate:0", "solutionsAfterRemoval": "至少2", "witness": [ "c5", "c6", "c10", "c11", "c15", "c14", "c18", "c17", "c16", "c12", "c13", "c9", "c8", "c4", "c0", "c1", "c2", "c3", "c7" ] }, { "constraint": "gate:1", "solutionsAfterRemoval": "至少2", "witness": [ "c2", "c3", "c7", "c11", "c15", "c14", "c10", "c6", "c5", "c1", "c0", "c4", "c8", "c9", "c13", "c12", "c16", "c17", "c18" ] }, { "constraint": "gate:2", "solutionsAfterRemoval": "至少2", "witness": [ "c13", "c9", "c10", "c11", "c7", "c3", "c2", "c6", "c5", "c1", "c0", "c4", "c8", "c12", "c16", "c17", "c18", "c14", "c15" ] } ], "digital": [ { "cell": "c8", "step": 13, "necessary": true }, { "cell": "c11", "step": 4, "necessary": true } ], "goal": "两条开门依赖交织", "authorPath": [ "c2", "c3", "c7", "c11", "c15", "c14", "c18", "c17", "c16", "c12", "c13", "c9", "c8", "c4", "c0", "c1", "c5", "c6", "c10" ], "unknownStart": true } ] }