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De4qBB.json
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{
"data": {
"question": {
"questionId": "1000448",
"questionFrontendId": "LCP 58",
"categoryTitle": "Algorithms",
"boundTopicId": 1438349,
"title": "积木拼接",
"titleSlug": "De4qBB",
"content": "",
"translatedTitle": "积木拼接",
"translatedContent": "欢迎各位勇者来到力扣城，本次试炼主题为「积木拼接」。\n勇者面前有 `6` 片积木（厚度均为 1），每片积木的形状记录于二维字符串数组 `shapes` 中，`shapes[i]` 表示第 `i` 片积木，其中 `1` 表示积木对应位置无空缺，`0` 表示积木对应位置有空缺。\n例如 `[\"010\",\"111\",\"010\"]` 对应积木形状为\n\n\n拼接积木的规则如下：\n- 积木片可以旋转、翻面\n- 积木片边缘必须完全吻合才能拼接在一起\n- **每片积木片 `shapes[i]` 的中心点在拼接时必须处于正方体对应面的中心点**\n\n例如 `3*3`、`4*4` 的积木片的中心点如图所示（红色点）：\n{:height=\"150px\"}\n\n\n请返回这 6 片积木能否拼接成一个**严丝合缝的正方体**且每片积木正好对应正方体的一个面。\n\n**注意：**\n- 输入确保每片积木均无空心情况（即输入数据保证对于大小 `N*N` 的 `shapes[i]`，内部的 `(N-2)*(N-2)` 的区域必然均为 1）\n- 输入确保每片积木的所有 `1` 位置均连通\n\n**示例 1：**\n>输入：`shapes = [[\"000\",\"110\",\"000\"],[\"110\",\"011\",\"000\"],[\"110\",\"011\",\"110\"],[\"000\",\"010\",\"111\"],[\"011\",\"111\",\"011\"],[\"011\",\"010\",\"000\"]]`\n>\n>输出：`true`\n>\n>解释：\n\n\n**示例 2：**\n>输入：`shapes = [[\"101\",\"111\",\"000\"],[\"000\",\"010\",\"111\"],[\"010\",\"011\",\"000\"],[\"010\",\"111\",\"010\"],[\"101\",\"111\",\"010\"],[\"000\",\"010\",\"011\"]]`\n>\n>输出：`false`\n>\n>解释： \n>由于每片积木片的中心点在拼接时必须处于正方体对应面的中心点，积木片 `[\"010\",\"011\",\"000\"]` 不能作为 `[\"100\",\"110\",\"000\"]` 使用，因此无法构成正方体\n\n\n**提示：**\n- `shapes.length == 6`\n- `shapes[i].length == shapes[j].length`\n- `shapes[i].length == shapes[i][j].length`\n- `3 <= shapes[i].length <= 10`\n\n\n\n\n\n",
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"difficulty": "Hard",
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"dislikes": 0,
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"contributors": [
{
"username": "LeetCode",
"profileUrl": "/u/leetcode",
"avatarUrl": "https://assets.leetcode-cn.com/aliyun-lc-upload/uploaded_files/2021/03/73c9f099-abbe-4d94-853f-f8abffd459cd/leetcode.png",
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"topicTags": [],
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"codeSnippets": [
{
"lang": "C++",
"langSlug": "cpp",
"code": "class Solution {\npublic:\n bool composeCube(vector<vector<string>>& shapes) {\n\n }\n};",
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"code": "class Solution(object):\n def composeCube(self, shapes):\n \"\"\"\n :type shapes: List[List[str]]\n :rtype: bool\n \"\"\"",
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"sampleTestCase": "[[\"000\",\"110\",\"000\"],[\"110\",\"011\",\"000\"],[\"110\",\"011\",\"110\"],[\"000\",\"010\",\"111\"],[\"011\",\"111\",\"011\"],[\"011\",\"010\",\"000\"]]",
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