{"id":332,"date":"2025-09-02T14:17:20","date_gmt":"2025-09-02T06:17:20","guid":{"rendered":"https:\/\/heyingnian.com\/?p=332"},"modified":"2025-09-02T14:18:01","modified_gmt":"2025-09-02T06:18:01","slug":"leetcode-48","status":"publish","type":"post","link":"https:\/\/heyingnian.com\/index.php\/2025\/09\/02\/leetcode-48\/","title":{"rendered":"\u65cb\u8f6c\u56fe\u50cf"},"content":{"rendered":"\n<h1 class=\"wp-block-heading\">\ud83d\udd17 \u65cb\u8f6c\u56fe\u50cf<\/h1>\n\n\n\n<p>\u9898\u76ee\u6765\u6e90\uff1a<a target=\"_blank\" rel=\"noreferrer noopener\"><a href=\"https:\/\/leetcode.cn\/problems\/rotate-image\/description\/?envType=study-plan-v2&amp;envId=top-100-liked\" target=\"_blank\" rel=\"noopener\"><a href=\"https:\/\/leetcode.cn\/problems\/rotate-image\/description\/?envType=study-plan-v2&amp;envId=top-100-liked\" target=\"_blank\" rel=\"noopener\">48. \u65cb\u8f6c\u56fe\u50cf &#8211; \u529b\u6263\uff08LeetCode\uff09<\/a><\/a><\/a><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udccc \u9898\u76ee\u63cf\u8ff0<\/p>\n\n\n\n<p>\u7ed9\u5b9a\u4e00\u4e2a <code>n \u00d7 n<\/code> \u7684\u4e8c\u7ef4\u77e9\u9635 <code>matrix<\/code> \u8868\u793a\u4e00\u4e2a\u56fe\u50cf\u3002\u8bf7\u4f60\u5c06\u56fe\u50cf<strong>\u987a\u65f6\u9488\u65cb\u8f6c 90 \u5ea6<\/strong>\u3002<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u8981\u6c42<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5fc5\u987b\u5728\u00a0<strong>\u539f\u5730<\/strong>\u00a0\u4fee\u6539\u8f93\u5165\u77e9\u9635\uff08\u5373\u4e0d\u80fd\u4f7f\u7528\u53e6\u4e00\u4e2a\u77e9\u9635\u6765\u8f85\u52a9\u65cb\u8f6c\uff09\u3002<\/li>\n\n\n\n<li>\u65cb\u8f6c\u540e\uff0c\u539f\u77e9\u9635\u5e94\u88ab\u76f4\u63a5\u4fee\u6539\u4e3a\u65cb\u8f6c\u540e\u7684\u7ed3\u679c\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u2705 \u793a\u4f8b\u89e3\u6790<\/p>\n\n\n\n<p><strong>\u793a\u4f8b 1<\/strong>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-4.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"642\" height=\"242\" data-original=\"https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-4.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-333\"  sizes=\"auto, (max-width: 642px) 100vw, 642px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>matrix = [[1,2,3],[4,5,6],[7,8,9]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[7,4,1],[8,5,2],[9,6,3]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\n<ul class=\"wp-block-list\">\n<li>\u539f\u77e9\u9635\uff1a\u6df1\u8272\u7248\u672c<code>1 2 3 4 5 6 7 8 9<\/code><\/li>\n\n\n\n<li>\u987a\u65f6\u9488\u65cb\u8f6c 90\u00b0 \u540e\uff1a\u6df1\u8272\u7248\u672c<code>7 4 1 8 5 2 9 6 3<\/code><\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<p><strong>\u793a\u4f8b 2<\/strong>\uff1a<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><div class='fancybox-wrapper lazyload-container-unload' data-fancybox='post-images' href='https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-5.png'><img class=\"lazyload lazyload-style-1\" src=\"data:image\/svg+xml;base64,PCEtLUFyZ29uTG9hZGluZy0tPgo8c3ZnIHdpZHRoPSIxIiBoZWlnaHQ9IjEiIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8yMDAwL3N2ZyIgc3Ryb2tlPSIjZmZmZmZmMDAiPjxnPjwvZz4KPC9zdmc+\"  loading=\"lazy\" decoding=\"async\" width=\"802\" height=\"322\" data-original=\"https:\/\/heyingnian.com\/wp-content\/uploads\/2025\/09\/image-5.png\" src=\"data:image\/png;base64,iVBORw0KGgoAAAANSUhEUgAAAAEAAAABCAYAAAAfFcSJAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAANSURBVBhXYzh8+PB\/AAffA0nNPuCLAAAAAElFTkSuQmCC\" alt=\"\" class=\"wp-image-334\"  sizes=\"auto, (max-width: 802px) 100vw, 802px\" \/><\/div><\/figure>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u8f93\u5165\uff1a<code>matrix = [[5,1,9,11],[2,4,8,10],[13,3,6,7],[15,14,12,16]]<\/code><\/li>\n\n\n\n<li>\u8f93\u51fa\uff1a<code>[[15,13,2,5],[14,3,4,1],[12,6,8,9],[16,7,10,11]]<\/code><\/li>\n\n\n\n<li>\u89e3\u91ca\uff1a\u8fd9\u662f\u4e00\u4e2a 4\u00d74 \u77e9\u9635\uff0c\u65cb\u8f6c\u540e\u5916\u5c42\u548c\u5185\u5c42\u5143\u7d20\u5747\u6309\u987a\u65f6\u9488\u65b9\u5411\u79fb\u52a8\u3002<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\u26a0\ufe0f \u63d0\u793a<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><code>n == matrix.length == matrix[i].length<\/code><\/li>\n\n\n\n<li><code>1 &lt;= n &lt;= 20<\/code><\/li>\n\n\n\n<li><code>-1000 &lt;= matrix[i][j] &lt;= 1000<\/code><\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udca1 \u89e3\u6cd5\uff1a\u5206\u5c42\u65cb\u8f6c\uff08\u73af\u5f62\u66ff\u6362\uff09\u2014\u2014 O(n\u00b2) \u65f6\u95f4\uff0cO(1) \u989d\u5916\u7a7a\u95f4<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>class Solution {\n    public void rotate(int&#91;]&#91;] matrix) {\n        int left = 0, right = matrix&#91;0].length - 1;\n        while (left &lt; right) {\n            for (int i = 0; i &lt; right - left; i++) {\n                int top = left, bottom = right;\n                \/\/ \u4fdd\u5b58\u5de6\u4e0a\u89d2\u7684\u5143\u7d20\n                int p = matrix&#91;top]&#91;left + i];\n                \n                \/\/ \u9006\u65f6\u9488\u56db\u6b65\u66ff\u6362\uff08\u7b49\u6548\u4e8e\u987a\u65f6\u9488\u65cb\u8f6c\uff09\n                matrix&#91;top]&#91;left + i] = matrix&#91;bottom - i]&#91;left];           \/\/ \u5de6\u4e0b \u2192 \u5de6\u4e0a\n                matrix&#91;bottom - i]&#91;left] = matrix&#91;bottom]&#91;right - i];       \/\/ \u53f3\u4e0b \u2192 \u5de6\u4e0b\n                matrix&#91;bottom]&#91;right - i] = matrix&#91;top + i]&#91;right];         \/\/ \u53f3\u4e0a \u2192 \u53f3\u4e0b\n                matrix&#91;top + i]&#91;right] = p;                                 \/\/ \u5de6\u4e0a \u2192 \u53f3\u4e0a\n            }\n            left++;\n            right--;\n        }\n    }\n}<\/code><\/pre>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83d\udcca \u590d\u6742\u5ea6\u5206\u6790<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>\u65f6\u95f4\u590d\u6742\u5ea6\uff1aO(n\u00b2)<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5916\u5c42\u00a0<code>while<\/code>\u00a0\u5faa\u73af\u6267\u884c\u00a0<code>n\/2<\/code>\u00a0\u6b21\uff08\u6bcf\u5c42\u4e00\u5708\uff09<\/li>\n\n\n\n<li>\u5185\u5c42\u00a0<code>for<\/code>\u00a0\u5faa\u73af\u904d\u5386\u5f53\u524d\u5708\u7684\u8fb9\u957f\u51cf\u4e00\uff08<code>right - left<\/code>\uff09<\/li>\n\n\n\n<li>\u603b\u4f53\u8bbf\u95ee\u4e86\u77e9\u9635\u4e2d\u51e0\u4e4e\u6bcf\u4e2a\u5143\u7d20\u4e00\u6b21\uff0c\u4e3a O(n\u00b2)<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u7a7a\u95f4\u590d\u6742\u5ea6\uff1aO(1)<\/strong> \u2705\n<ul class=\"wp-block-list\">\n<li>\u4ec5\u4f7f\u7528\u5e38\u6570\u4e2a\u989d\u5916\u53d8\u91cf\uff1a<code>left<\/code>,\u00a0<code>right<\/code>,\u00a0<code>top<\/code>,\u00a0<code>bottom<\/code>,\u00a0<code>i<\/code>,\u00a0<code>p<\/code><\/li>\n\n\n\n<li>\u6240\u6709\u64cd\u4f5c\u5747\u5728\u539f\u77e9\u9635\u4e0a\u8fdb\u884c\uff0c<strong>\u5b8c\u5168\u539f\u5730\u4fee\u6539<\/strong>\uff0c\u6ee1\u8db3\u9898\u76ee\u8981\u6c42\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<p>\ud83e\udde9 \u89e3\u9898\u601d\u8def<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>\u6838\u5fc3\u601d\u60f3\uff1a\u5206\u5c42\u65cb\u8f6c + \u56db\u70b9\u73af\u5f62\u66ff\u6362<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5c06\u00a0<code>n\u00d7n<\/code>\u00a0\u77e9\u9635\u89c6\u4e3a\u591a\u4e2a\u201c\u540c\u5fc3\u65b9\u6846\u201d\uff08\u4ece\u5916\u5230\u5185\uff09\u3002<\/li>\n\n\n\n<li>\u5bf9\u6bcf\u4e00\u5c42\uff08\u6bcf\u4e00\u5708\uff09\uff0c\u5c06\u56db\u4e2a\u8fb9\u4e0a\u7684\u5bf9\u5e94\u5143\u7d20\u8fdb\u884c<strong>\u987a\u65f6\u9488\u65cb\u8f6c<\/strong>\u3002<\/li>\n\n\n\n<li>\u901a\u8fc7<strong>\u4e00\u6b21\u4fdd\u5b58 + \u4e09\u6b21\u8d4b\u503c<\/strong>\u5b8c\u6210\u56db\u4e2a\u4f4d\u7f6e\u7684\u5143\u7d20\u8f6e\u6362\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u5173\u952e\u53d8\u91cf\u5b9a\u4e49<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li><code>left<\/code>,\u00a0<code>right<\/code>\uff1a\u5f53\u524d\u5c42\u7684\u5de6\u53f3\u8fb9\u754c\u5217\u7d22\u5f15<\/li>\n\n\n\n<li><code>top<\/code>,\u00a0<code>bottom<\/code>\uff1a\u5f53\u524d\u5c42\u7684\u4e0a\u4e0b\u8fb9\u754c\u884c\u7d22\u5f15\uff08<code>top = left<\/code>,\u00a0<code>bottom = right<\/code>\uff0c\u56e0\u4e3a\u662f\u65b9\u9635\uff09<\/li>\n\n\n\n<li><code>i<\/code>\uff1a\u5728\u5f53\u524d\u8fb9\u4e0a\u79fb\u52a8\u7684\u504f\u79fb\u91cf\uff0c\u7528\u4e8e\u904d\u5386\u8be5\u5c42\u7684\u4e00\u6761\u8fb9\u3002<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u56db\u6b65\u66ff\u6362\u8fc7\u7a0b\uff08\u987a\u65f6\u9488\u65cb\u8f6c\uff09<\/strong>\uff1a<br>\u5bf9\u4e8e\u5f53\u524d\u5c42\u7684\u4e00\u4e2a\u201c\u56db\u5143\u7ec4\u201d\uff08\u5de6\u4e0a\u3001\u53f3\u4e0a\u3001\u53f3\u4e0b\u3001\u5de6\u4e0b\uff09\uff0c\u8fdb\u884c\u5982\u4e0b\u66ff\u6362\uff1a<ol><li>\u4fdd\u5b58\u5de6\u4e0a\u89d2\u5143\u7d20\u00a0<code>p = matrix[top][left + i]<\/code><\/li><li>\u5de6\u4e0b \u2192 \u5de6\u4e0a\uff1a<code>matrix[top][left + i] = matrix[bottom - i][left]<\/code><\/li><li>\u53f3\u4e0b \u2192 \u5de6\u4e0b\uff1a<code>matrix[bottom - i][left] = matrix[bottom][right - i]<\/code><\/li><li>\u53f3\u4e0a \u2192 \u53f3\u4e0b\uff1a<code>matrix[bottom][right - i] = matrix[top + i][right]<\/code><\/li><li>\u5de6\u4e0a\uff08p\uff09\u2192 \u53f3\u4e0a\uff1a<code>matrix[top + i][right] = p<\/code><\/li><\/ol>\u8fd9\u76f8\u5f53\u4e8e\uff1a\u6df1\u8272\u7248\u672c<code>\u5de6\u4e0a \u2190 \u5de6\u4e0b \u2190 \u53f3\u4e0b \u2190 \u53f3\u4e0a \u2190 (\u5de6\u4e0a)<\/code><\/li>\n\n\n\n<li><strong>\u4e3a\u4ec0\u4e48\u662f <code>right - left<\/code> \u6b21\u5faa\u73af\uff1f<\/strong>\n<ul class=\"wp-block-list\">\n<li>\u5f53\u524d\u5c42\u7684\u8fb9\u957f\u4e3a\u00a0<code>len = right - left + 1<\/code><\/li>\n\n\n\n<li>\u6bcf\u6b21\u65cb\u8f6c\u5904\u7406\u4e00\u4e2a\u201c\u56db\u5143\u7ec4\u201d\uff0c\u4f46<strong>\u6bcf\u6761\u8fb9\u53ea\u9700\u8981\u5904\u7406\u524d\u00a0<code>len - 1<\/code>\u00a0\u4e2a\u5143\u7d20<\/strong>\uff08\u6700\u540e\u4e00\u4e2a\u4f1a\u88ab\u4e0b\u4e00\u4e2a\u56db\u5143\u7ec4\u6216\u4e0a\u4e00\u8f6e\u8986\u76d6\uff09<\/li>\n\n\n\n<li>\u56e0\u6b64\u5185\u5c42\u5faa\u73af\u6b21\u6570\u4e3a\u00a0<code>right - left<\/code>\uff08\u5373\u00a0<code>len - 1<\/code>\uff09<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u4e3e\u4f8b\u8bf4\u660e<\/strong>\uff1a<br>\u5bf9 <code>matrix = [[1,2,3],[4,5,6],[7,8,9]]<\/code>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u7b2c1\u5c42\uff08\u5916\u5c42\uff09\uff1a<code>left=0, right=2<\/code>\n<ul class=\"wp-block-list\">\n<li><code>i=0<\/code>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u4fdd\u5b58\u00a0<code>p = matrix[0][0] = 1<\/code><\/li>\n\n\n\n<li><code>matrix[0][0] = matrix[2][0] = 7<\/code><\/li>\n\n\n\n<li><code>matrix[2][0] = matrix[2][2] = 9<\/code><\/li>\n\n\n\n<li><code>matrix[2][2] = matrix[0][2] = 3<\/code><\/li>\n\n\n\n<li><code>matrix[0][2] = p = 1<\/code><\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><code>i=1<\/code>\uff1a\u5bf9\u00a0<code>i=1<\/code>\u00a0\u4f4d\u7f6e\u8fdb\u884c\u7c7b\u4f3c\u64cd\u4f5c<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li>\u7ed3\u675f\u540e\u00a0<code>left=1, right=1<\/code>\uff0c\u5faa\u73af\u7ed3\u675f<\/li>\n\n\n\n<li>\u6700\u7ec8\u5f97\u5230\u00a0<code>[[7,4,1],[8,5,2],[9,6,3]]<\/code>\u00a0\u2705<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>\u8fb9\u754c\u5904\u7406<\/strong>\uff1a\n<ul class=\"wp-block-list\">\n<li>\u5355\u5143\u7d20\u4e2d\u5fc3\uff08n \u4e3a\u5947\u6570\uff09\uff1a<code>left == right<\/code>\u00a0\u65f6\u505c\u6b62\uff0c\u4e2d\u5fc3\u5143\u7d20\u65e0\u9700\u65cb\u8f6c\u3002<\/li>\n\n\n\n<li>\u53cc\u5143\u7d20\u5c42\uff08n \u4e3a\u5076\u6570\uff09\uff1a\u6700\u540e\u4e00\u5c42\u00a0<code>right - left = 1<\/code>\uff0c\u5faa\u73af\u4e00\u6b21\u5373\u53ef\u3002<\/li>\n<\/ul>\n<\/li>\n<\/ol>\n","protected":false},"excerpt":{"rendered":"<p>\ud83d\udd17 \u65cb\u8f6c\u56fe\u50cf \u9898\u76ee\u6765\u6e90\uff1a48. \u65cb\u8f6c\u56fe\u50cf &#8211; \u529b\u6263\uff08LeetCode\uff09 \ud83d\udccc \u9898\u76ee\u63cf\u8ff0 \u7ed9\u5b9a\u4e00\u4e2a n [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[37,12],"tags":[34,31,49],"class_list":["post-332","post","type-post","status-publish","format-standard","hentry","category-matrix","category-algorithm","tag-mathematics","tag-array","tag-matrix"],"_links":{"self":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/332","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/comments?post=332"}],"version-history":[{"count":2,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/332\/revisions"}],"predecessor-version":[{"id":336,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/posts\/332\/revisions\/336"}],"wp:attachment":[{"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/media?parent=332"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/categories?post=332"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/heyingnian.com\/index.php\/wp-json\/wp\/v2\/tags?post=332"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}