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{
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"question": {
"questionId": "1000563",
"questionFrontendId": "LCP 75",
"categoryTitle": "Algorithms",
"boundTopicId": 2239382,
"title": "传送卷轴",
"titleSlug": "rdmXM7",
"content": "English description is not available for the problem. Please switch to Chinese.",
"translatedTitle": "传送卷轴",
"translatedContent": "随着不断的深入,小扣来到了守护者之森寻找的魔法水晶。首先,他必须先通过守护者的考验。\n\n考验的区域是一个正方形的迷宫`maze[i][j]` 表示在迷宫 `i` 行 `j` 列的地形:\n- 若为 `.` ,表示可以到达的空地;\n- 若为 `#` ,表示不可到达的墙壁;\n- 若为 `S` ,表示小扣的初始位置;\n- 若为 `T` ,表示魔法水晶的位置。\n\n小扣每次可以向 上、下、左、右 相邻的位置移动一格。而守护者拥有一份「传送魔法卷轴」,使用规则如下:\n- 魔法需要在小扣位于 **空地** 时才能释放,发动后卷轴消失;;\n- 发动后,小扣会被传送到水平或者竖直的镜像位置,且目标位置不得为墙壁(如下图所示)\n![image.png](https://pic.leetcode.cn/1681789509-wTekFu-image.png){:width=400px}\n\n在使用卷轴后小扣将被「附加负面效果」因此小扣需要尽可能缩短传送后到达魔法水晶的距离。而守护者的目标是阻止小扣到达魔法水晶的位置如果无法阻止则尽可能 **增加** 小扣传送后到达魔法水晶的距离。\n假设小扣和守护者都按最优策略行事返回小扣需要在 「附加负面效果」的情况下 **最少** 移动多少次才能到达魔法水晶。如果无法到达,返回 `-1`。\n\n**注意:**\n- 守护者可以不使用卷轴;\n- 传送后的镜像位置可能与原位置相同。\n\n**示例 1**\n>输入:`maze = [\".....\",\"##S..\",\"...#.\",\"T.#..\",\"###..\"]`\n>\n>输出:`7`\n>\n>解释:如下图所示:\n>守护者释放魔法的两个最佳的位置为 [2,0] 或 [3,1]\n>若小扣经过 [2,0],守护者在该位置释放魔法,\n>小扣被传送至 [2,4] 处且加上负面效果,此时小扣还需要移动 7 次才能到达魔法水晶;\n>若小扣经过 [3,1],守护者在该位置释放魔法,\n>小扣被传送至 [3,3] 处且加上负面效果,此时小扣还需要移动 9 次才能到达魔法水晶;\n>因此小扣负面效果下最少需要移动 7 次才能到达魔法水晶。\n![image.png](https://pic.leetcode.cn/1681714676-gksEMT-image.png){:width=300px}\n\n\n**示例 2**\n>输入:`maze = [\".#..\",\"..##\",\".#S.\",\".#.T\"]`\n>\n>输出:`-1`\n>\n>解释:如下图所示。\n>若小扣向下移动至 [3,2],守护者使其传送至 [0,2],小扣将无法到达魔法水晶;\n>若小扣向右移动至 [2,3],守护者使其传送至 [2,0],小扣将无法到达魔法水晶;\n![image.png](https://pic.leetcode.cn/1681714693-LsxKAh-image.png){:width=300px}\n\n\n**示例 3**\n>输入:`maze = [\"S###.\",\"..###\",\"#..##\",\"##..#\",\"###.T\"]`\n>\n>输出:`5`\n>\n>解释:如下图所示:\n>守护者需要小扣在空地才能释放,因此初始无法将其从 [0,0] 传送至 [0,4];\n>当小扣移动至 [2,1] 时,释放卷轴将其传送至水平方向的镜像位置 [2,1](为原位置)\n>而后小扣需要移动 5 次到达魔法水晶\n![image.png](https://pic.leetcode.cn/1681800985-KrSdru-image.png){:width=300px}\n\n**提示:**\n- `4 <= maze.length == maze[i].length <= 200`\n- `maze[i][j]` 仅包含 `\".\"`、`\"#\"`、`\"S\"`、`\"T\"`",
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