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      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "入门",
      "title": "六向双色交替，再看一堵墙",
      "caption": "六向共边相邻，每格一步。蓝格 → 橙格，每步换颜色；黑黄永久墙另行封住共边。同色或有墙都不能通过。○是蓝格，△是橙格。",
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        },
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      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c1—c3 断开表面邻接，需绕行"
    ],
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    "reason": "蓝橙颜色必须交替",
    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
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      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "入门",
      "title": "同色边与墙边是两种阻挡",
      "caption": "六向共边相邻，每格一步。蓝格 → 橙格，每步换颜色；黑黄永久墙另行封住共边。同色或有墙都不能通过。○是蓝格，△是橙格。",
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          "q": 3,
          "r": 0,
          "clue": 1,
          "category": "circle"
        },
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          "id": "c7",
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          "r": 1,
          "category": "triangle"
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    },
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          "c3",
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          "c1",
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    "attempt": 5,
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      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c2—c3 断开表面邻接，需绕行"
    ],
    "keyFork": {
      "step": 4,
      "correct": "c4",
      "tempting": "c3"
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    "reason": "蓝橙颜色必须交替",
    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
    "level": {
      "id": "03",
      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "普通",
      "title": "颜色数量与墙共同决定端点",
      "caption": "",
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          "q": 0,
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          "category": "triangle"
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          "category": "circle"
        },
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          "q": 1,
          "r": 1,
          "category": "triangle"
        },
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          "q": 2,
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        },
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          "q": 2,
          "r": 1,
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          "r": 1,
          "category": "triangle"
        },
        {
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          "q": 4,
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          "category": "triangle"
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      "c8"
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        "constraint": "alternation",
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          "c6",
          "c7",
          "c9",
          "c8",
          "c10"
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      },
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        "path": [
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          "c3",
          "c4",
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          "c8",
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          "c9"
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    ],
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    "attempt": 3,
    "breakdown": [
      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c7—c8 断开表面邻接，需绕行"
    ],
    "keyFork": {
      "step": 10,
      "correct": "c10",
      "tempting": "c8"
    },
    "reason": "蓝橙颜色必须交替",
    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
    "level": {
      "id": "04",
      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "普通",
      "title": "两堵墙配合六向出口选择",
      "caption": "",
      "cells": [
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          "q": 0,
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          "q": 1,
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        },
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          "id": "c3",
          "q": 1,
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          "category": "triangle"
        },
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          "id": "c5",
          "q": 1,
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          "clue": 1,
          "category": "circle"
        },
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          "id": "c6",
          "q": 3,
          "r": 0,
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        },
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          "category": "triangle"
        },
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          "r": 1,
          "category": "circle"
        },
        {
          "id": "c10",
          "q": 5,
          "r": 0,
          "category": "circle"
        },
        {
          "id": "c11",
          "q": 5,
          "r": 1,
          "category": "triangle"
        }
      ],
      "walls": [
        [
          "c8",
          "c9"
        ],
        [
          "c6",
          "c8"
        ]
      ]
    },
    "author": [
      "c5",
      "c3",
      "c1",
      "c0",
      "c2",
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      "c6",
      "c7",
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    "witnesses": [
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        "constraint": "alternation",
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      },
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        "constraint": "wall:0",
        "path": [
          "c5",
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          "c2",
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          "c6",
          "c7",
          "c9",
          "c8",
          "c10",
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      },
      {
        "constraint": "wall:1",
        "path": [
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          "c3",
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          "c11",
          "c9",
          "c7"
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    "basePathCount": 18,
    "attempt": 31,
    "breakdown": [
      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c8—c9 断开表面邻接，需绕行",
      "永久墙 c6—c8 断开表面邻接，需绕行"
    ],
    "keyFork": {
      "step": 9,
      "correct": "c9",
      "tempting": "c8"
    },
    "reason": "蓝橙颜色必须交替",
    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
    "level": {
      "id": "05",
      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "进阶",
      "title": "区域绕行同时满足颜色和墙",
      "caption": "",
      "cells": [
        {
          "id": "c0",
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          "r": 0,
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        },
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        },
        {
          "id": "c6",
          "q": 2,
          "r": 0,
          "category": "triangle"
        },
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          "r": 1,
          "category": "triangle"
        },
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        },
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          "id": "c10",
          "q": 3,
          "r": 1,
          "category": "circle"
        },
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          "id": "c11",
          "q": 3,
          "r": 2,
          "category": "circle"
        },
        {
          "id": "c12",
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          "category": "triangle"
        },
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      },
      {
        "constraint": "wall:1",
        "path": [
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    ],
    "basePathCount": 4772,
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    "breakdown": [
      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c8—c10 断开表面邻接，需绕行",
      "永久墙 c6—c9 断开表面邻接，需绕行"
    ],
    "keyFork": {
      "step": 9,
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    },
    "reason": "蓝橙颜色必须交替",
    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
    "level": {
      "id": "06",
      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "进阶",
      "title": "两处区域出口互相牵制",
      "caption": "",
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    "breakdown": [
      "○/△每步交替，按节点数量推断端点类别",
      "永久墙 c9—c10 断开表面邻接，需绕行",
      "永久墙 c2—c4 断开表面邻接，需绕行"
    ],
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    "review": "自动验证通过；难度与人类推理顺序待真人试玩确认"
  },
  {
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      "mode": "hex-alternation",
      "geometry": "hex",
      "difficulty": "难",
      "title": "三片区域、颜色与多墙联动",
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      "永久墙 c7—c10 断开表面邻接，需绕行",
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      "永久墙 c5—c7 断开表面邻接，需绕行",
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