{"id":91092,"date":"2026-08-06T21:08:39","date_gmt":"2026-08-06T13:08:39","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/91092.html"},"modified":"2026-08-06T21:08:39","modified_gmt":"2026-08-06T13:08:39","slug":"%e4%b8%80%e5%a4%a9%e4%b8%80%e9%81%93%e7%ae%97%e6%b3%95%e9%a2%98%ef%bc%886%ef%bc%89%ef%bc%9a%e6%95%b0%e7%bb%84%e5%8f%8d%e8%bd%ac%e7%9a%84%e6%80%9d%e8%b7%af%e4%b8%8e%e5%ae%9e%e7%8e%b0%e8%a7%a3%e6%9e%90","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/91092.html","title":{"rendered":"\u4e00\u5929\u4e00\u9053\u7b97\u6cd5\u9898\uff086\uff09\uff1a\u6570\u7ec4\u53cd\u8f6c\u7684\u601d\u8def\u4e0e\u5b9e\u73b0\u89e3\u6790"},"content":{"rendered":"<h2>189. \u8f6e\u8f6c\u6570\u7ec4<\/h2>\n<\/p>\n<h4>\u6587\u7ae0\u76ee\u5f55<\/h4>\n<ul>\n<li>[189. \u8f6e\u8f6c\u6570\u7ec4](https:\/\/leetcode.cn\/problems\/rotate-array\/)<\/li>\n<li>\n<ul>\n<li>\u601d\u8def\u4e00&#xff1a;\u8f85\u52a9\u6570\u7ec4&#xff08;\u7a7a\u95f4\u6362\u65f6\u95f4&#xff09;<\/li>\n<li>\u601d\u8def\u4e8c&#xff1a;\u66b4\u529b\u5faa\u73af&#xff08;\u9010\u6b65\u79fb\u52a8&#xff09;<\/li>\n<li>\u601d\u8def\u4e09&#xff1a;\u4e09\u6b21\u53cd\u8f6c&#xff08;\u6700\u4f18\u89e3&#xff09;<\/li>\n<li>\u4e09\u79cd\u89e3\u6cd5\u5bf9\u6bd4\u603b\u7ed3<\/li>\n<li>\u77e5\u8bc6\u70b9\u62d3\u5c55<\/li>\n<li>\u7ed3\u8bed<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>\u9898\u76ee\u63cf\u8ff0<\/p>\n<p>\u7ed9\u4f60\u4e00\u4e2a\u6570\u7ec4&#xff0c;\u5c06\u6570\u7ec4\u4e2d\u7684\u5143\u7d20\u5411\u53f3\u8f6e\u8f6c k \u4e2a\u4f4d\u7f6e&#xff0c;\u5176\u4e2d k \u662f\u975e\u8d1f\u6570\u3002<\/p>\n<p>\u793a\u4f8b 1:<\/p>\n<p>text \u8f93\u5165: nums &#061; [1,2,3,4,5,6,7], k &#061; 3 \u8f93\u51fa: [5,6,7,1,2,3,4]<\/p>\n<p>\u89e3\u91ca: \u5411\u53f3\u8f6e\u8f6c 1 \u6b65: [7,1,2,3,4,5,6] \u5411\u53f3\u8f6e\u8f6c 2 \u6b65: [6,7,1,2,3,4,5] \u5411\u53f3\u8f6e\u8f6c 3 \u6b65: [5,6,7,1,2,3,4] \u793a\u4f8b 2:<\/p>\n<p>text \u8f93\u5165: nums &#061; [-1,-100,3,99], k &#061; 2 \u8f93\u51fa: [3,99,-1,-100]<\/p>\n<p>\u89e3\u91ca: \u5411\u53f3\u8f6e\u8f6c 1 \u6b65: [99,-1,-100,3] \u5411\u53f3\u8f6e\u8f6c 2 \u6b65: [3,99,-1,-100] \u63d0\u793a:<\/p>\n<p>1 &lt;&#061; nums.length &lt;&#061; 10^5<\/p>\n<p>-2^31 &lt;&#061; nums[i] &lt;&#061; 2^31 &#8211; 1<\/p>\n<p>0 &lt;&#061; k &lt;&#061; 10^5<\/p>\n<h3>\u601d\u8def\u4e00&#xff1a;\u8f85\u52a9\u6570\u7ec4&#xff08;\u7a7a\u95f4\u6362\u65f6\u95f4&#xff09;<\/h3>\n<p>\u6838\u5fc3\u601d\u60f3<\/p>\n<p>\u8fd9\u662f\u6700\u76f4\u89c2\u7684\u601d\u8def&#xff1a;\u590d\u5236\u4e00\u4efd\u539f\u6570\u7ec4\u4f5c\u4e3a&#034;\u6a21\u677f&#034;&#xff0c;\u7136\u540e\u8ba1\u7b97\u6bcf\u4e2a\u5143\u7d20\u5e94\u8be5\u79fb\u52a8\u5230\u54ea\u4e2a\u65b0\u4f4d\u7f6e&#xff0c;\u76f4\u63a5\u586b\u5165\u3002\u4f60\u53ef\u4ee5\u60f3\u8c61\u6210&#xff1a;\u628a\u539f\u6570\u7ec4\u7684\u5143\u7d20\u770b\u6210&#034;\u841d\u535c&#034;&#xff0c;\u628a\u6570\u7ec4\u4f4d\u7f6e\u770b\u6210&#034;\u841d\u535c\u5751&#034;\u3002\u5148\u628a\u6240\u6709\u841d\u535c\u62ff\u51fa\u6765&#xff08;\u590d\u5236\u5230 temp&#xff09;&#xff0c;\u7136\u540e\u6839\u636e\u89c4\u5219\u628a\u841d\u535c\u4e00\u4e2a\u4e2a\u653e\u56de\u5751\u91cc\u3002<\/p>\n<p>\u4f4d\u7f6e\u8ba1\u7b97\u516c\u5f0f<\/p>\n<p>\u5bf9\u4e8e\u7d22\u5f15 i \u7684\u5143\u7d20&#xff0c;\u5b83\u5e94\u8be5\u79fb\u52a8\u5230 (i &#043; k) % n \u7684\u4f4d\u7f6e\u3002<\/p>\n<p>\u4e3a\u4ec0\u4e48&#xff1f;\u5411\u53f3\u8f6e\u8f6c k \u6b65&#xff0c;\u5c31\u662f\u6bcf\u4e2a\u5143\u7d20\u5f80\u540e\u79fb\u52a8 k \u4e2a\u4f4d\u7f6e\u3002\u4f46\u6570\u7ec4\u662f\u73af\u5f62\u7684&#xff0c;\u6240\u4ee5\u5f53 i &#043; k \u8d85\u8fc7\u6570\u7ec4\u672b\u5c3e\u65f6&#xff0c;\u9700\u8981\u56de\u5230\u5f00\u5934\u3002\u53d6\u6a21\u8fd0\u7b97 % n \u6b63\u597d\u5b9e\u73b0\u8fd9\u4e2a&#034;\u5faa\u73af&#034;\u6548\u679c\u3002<\/p>\n<p>\u4e3e\u4f8b&#xff1a;[1,2,3,4,5,6,7], k &#061; 3<\/p>\n<p>\u7d22\u5f15 0 \u7684\u5143\u7d20 1 \u2192 (0&#043;3)%7 &#061; 3 \u2192 \u65b0\u4f4d\u7f6e\u662f\u7d22\u5f15 3<\/p>\n<p>\u7d22\u5f15 4 \u7684\u5143\u7d20 5 \u2192 (4&#043;3)%7 &#061; 0 \u2192 \u65b0\u4f4d\u7f6e\u662f\u7d22\u5f15 0<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p>func rotate(nums []int, k int) {<br \/>\n    n :&#061; len(nums)<br \/>\n    k %&#061; n \/\/ \u5904\u7406 k &gt; n \u7684\u60c5\u51b5&#xff0c;\u56e0\u4e3a\u8f6e\u8f6c n \u6b21\u7b49\u4e8e\u6ca1\u8f6e\u8f6c<\/p>\n<p>    temp :&#061; make([]int, n)<br \/>\n    copy(temp, nums) \/\/ temp \u662f\u539f\u6570\u7ec4\u7684\u526f\u672c<\/p>\n<p>    for i :&#061; 0; i &lt; n; i&#043;&#043; {<br \/>\n        newIndex :&#061; (i &#043; k) % n<br \/>\n        nums[newIndex] &#061; temp[i]<br \/>\n    }<br \/>\n}<\/p>\n<p>\u590d\u6742\u5ea6\u5206\u6790<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6: O(n) \u2014 \u904d\u5386\u4e00\u6b21\u6570\u7ec4<\/p>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6: O(n) \u2014 \u9700\u8981\u4e00\u4e2a\u5927\u5c0f\u4e3a n \u7684\u8f85\u52a9\u6570\u7ec4<\/p>\n<p>\u4f18\u7f3a\u70b9<\/p>\n<p>\u4f18\u70b9&#xff1a;\u601d\u8def\u7b80\u5355&#xff0c;\u5bb9\u6613\u7406\u89e3&#xff0c;\u4e0d\u5bb9\u6613\u51fa\u9519<\/p>\n<p>\u7f3a\u70b9&#xff1a;\u9700\u8981\u989d\u5916 O(n) \u7a7a\u95f4&#xff0c;\u5f53 n \u5f88\u5927\u65f6\u53ef\u80fd\u53d7\u9650<\/p>\n<h3>\u601d\u8def\u4e8c&#xff1a;\u66b4\u529b\u5faa\u73af&#xff08;\u9010\u6b65\u79fb\u52a8&#xff09;<\/h3>\n<p>\u6838\u5fc3\u601d\u60f3<\/p>\n<p>\u6a21\u62df\u8f6e\u8f6c\u7684\u8fc7\u7a0b&#xff1a;\u6bcf\u6b21\u628a\u6570\u7ec4\u6240\u6709\u5143\u7d20\u5411\u53f3\u79fb\u52a8\u4e00\u6b65&#xff0c;\u91cd\u590d k \u6b21\u3002\u5c31\u50cf\u6392\u961f\u65f6&#xff0c;\u6bcf\u6b21\u961f\u4f0d\u6700\u540e\u4e00\u4e2a\u4eba\u8d70\u5230\u6700\u524d\u9762&#xff0c;\u5176\u4ed6\u4eba\u4f9d\u6b21\u5411\u540e\u632a\u4e00\u4e2a\u4f4d\u7f6e\u3002<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p>go<\/p>\n<p>func rotate(nums []int, k int) {<br \/>\n    n :&#061; len(nums)<br \/>\n    k %&#061; n<\/p>\n<p>    for i :&#061; 0; i &lt; k; i&#043;&#043; {<br \/>\n        last :&#061; nums[n-1] \/\/ \u4fdd\u5b58\u6700\u540e\u4e00\u4e2a\u5143\u7d20<br \/>\n        for j :&#061; n &#8211; 1; j &gt; 0; j&#8211; {<br \/>\n            nums[j] &#061; nums[j-1] \/\/ \u6240\u6709\u5143\u7d20\u540e\u79fb\u4e00\u4f4d<br \/>\n        }<br \/>\n        nums[0] &#061; last \/\/ \u628a\u6700\u540e\u4e00\u4e2a\u653e\u5230\u6700\u524d\u9762<br \/>\n    }<br \/>\n}<\/p>\n<p>\u590d\u6742\u5ea6\u5206\u6790<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6: O(k * n) \u2014 \u6bcf\u6b21\u8f6e\u8f6c\u9700\u8981\u79fb\u52a8 n \u4e2a\u5143\u7d20&#xff0c;\u5171 k \u6b21<\/p>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6: O(1) \u2014 \u53ea\u7528\u4e86\u5e38\u6570\u989d\u5916\u7a7a\u95f4<\/p>\n<p>\u4f18\u7f3a\u70b9<\/p>\n<p>\u4f18\u70b9&#xff1a;\u539f\u5730\u64cd\u4f5c&#xff0c;\u4e0d\u9700\u8981\u989d\u5916\u7a7a\u95f4<\/p>\n<p>\u7f3a\u70b9&#xff1a;\u5f53 k \u5f88\u5927\u65f6&#xff0c;\u6548\u7387\u6781\u4f4e\u3002\u6700\u574f\u60c5\u51b5 k &#061; n&#xff0c;\u9700\u8981 O(n\u00b2) \u65f6\u95f4<\/p>\n<h3>\u601d\u8def\u4e09&#xff1a;\u4e09\u6b21\u53cd\u8f6c&#xff08;\u6700\u4f18\u89e3&#xff09;<\/h3>\n<p>\u6838\u5fc3\u601d\u60f3<\/p>\n<p>\u8fd9\u662f\u672c\u9898\u6700\u5de7\u5999\u7684\u89e3\u6cd5\u3002\u5b83\u7684\u601d\u8def\u6e90\u4e8e\u4e00\u4e2a\u89c2\u5bdf&#xff1a;\u5411\u53f3\u8f6e\u8f6c k \u4f4d&#xff0c;\u672c\u8d28\u4e0a\u5c31\u662f\u628a\u6570\u7ec4\u5206\u6210\u4e24\u90e8\u5206&#xff1a;\u524d n-k \u4e2a\u5143\u7d20&#xff08;\u524d\u534a\u6bb5&#xff09;\u548c\u540e k \u4e2a\u5143\u7d20&#xff08;\u540e\u534a\u6bb5&#xff09;&#xff0c;\u7136\u540e\u4ea4\u6362\u8fd9\u4e24\u6bb5\u7684\u4f4d\u7f6e&#xff0c;\u628a\u540e\u534a\u6bb5\u653e\u5230\u524d\u9762&#xff0c;\u524d\u534a\u6bb5\u653e\u5230\u540e\u9762\u3002<\/p>\n<p>\u95ee\u9898\u8f6c\u5316\u6210&#xff1a;\u5982\u4f55\u7528 O(1) \u7a7a\u95f4\u9ad8\u6548\u5730\u4ea4\u6362\u6570\u7ec4\u7684\u4e24\u6bb5\u6570\u636e&#xff1f;\u7b54\u6848\u662f&#xff1a;\u5229\u7528&#034;\u53cd\u8f6c&#034;\u64cd\u4f5c\u3002<\/p>\n<p>\u53cd\u8f6c\u64cd\u4f5c\u6709\u4e00\u4e2a\u91cd\u8981\u6027\u8d28&#xff1a;\u5bf9\u4e00\u4e2a\u6570\u7ec4&#xff08;\u6216\u5b50\u6570\u7ec4&#xff09;\u8fde\u7eed\u53cd\u8f6c\u4e24\u6b21&#xff0c;\u5b83\u4f1a\u6062\u590d\u539f\u6837\u3002\u57fa\u4e8e\u8fd9\u4e2a\u6027\u8d28&#xff0c;\u53ef\u4ee5\u8bbe\u8ba1\u4e00\u4e2a\u4e09\u6b65\u8d70\u7684\u65b9\u6848\u3002<\/p>\n<p>\u4e09\u6b65\u56fe\u89e3<\/p>\n<p>\u4ee5 nums &#061; [1,2,3,4,5,6,7], k &#061; 3 \u4e3a\u4f8b&#xff1a;<\/p>\n<p>\u539f\u59cb\u6570\u7ec4:    [1 2 3 4 5 6 7]<br \/>\n              |___\u524d\u534a\u6bb5___| |_\u540e\u534a\u6bb5_|<br \/>\n                 n-k&#061;4        k&#061;3<\/p>\n<p>\u7b2c1\u6b65: \u53cd\u8f6c\u6574\u4e2a\u6570\u7ec4<br \/>\n[1 2 3 4 5 6 7] \u2192 [7 6 5 4 3 2 1]<br \/>\n\u73b0\u5728&#xff0c;\u540e\u534a\u6bb5 [5,6,7] \u8dd1\u5230\u4e86\u6700\u524d\u9762&#xff0c;\u4f46\u987a\u5e8f\u662f\u53cd\u7684&#xff08;[7,6,5]&#xff09;<\/p>\n<p>\u7b2c2\u6b65: \u53cd\u8f6c\u524d k \u4e2a\u5143\u7d20<br \/>\n[7 6 5 4 3 2 1] \u2192 \u53cd\u8f6c\u524d3\u4e2a \u2192 [5 6 7 4 3 2 1]<br \/>\n\u73b0\u5728&#xff0c;\u539f\u540e\u534a\u6bb5\u7684\u987a\u5e8f\u6b63\u8fc7\u6765\u4e86&#xff1a;[5,6,7]<\/p>\n<p>\u7b2c3\u6b65: \u53cd\u8f6c\u540e n-k \u4e2a\u5143\u7d20<br \/>\n[5 6 7 4 3 2 1] \u2192 \u53cd\u8f6c\u540e4\u4e2a \u2192 [5 6 7 1 2 3 4]<br \/>\n\u73b0\u5728&#xff0c;\u539f\u524d\u534a\u6bb5\u7684\u987a\u5e8f\u4e5f\u6b63\u8fc7\u6765\u4e86&#xff1a;[1,2,3,4]<\/p>\n<p>\u6700\u7ec8\u7ed3\u679c: [5 6 7 1 2 3 4] \u2705<\/p>\n<p>\u4e3a\u4ec0\u4e48\u8fd9\u80fd\u884c&#xff1f;\u53ef\u4ee5\u8fd9\u6837\u7406\u89e3&#xff1a;\u53cd\u8f6c\u4e09\u6b21 &#061; \u201c\u8d1f\u8d1f\u5f97\u6b63\u201d\u3002\u6574\u4f53\u53cd\u8f6c\u628a\u4e24\u6bb5\u6570\u636e\u7684\u4f4d\u7f6e\u4ea4\u6362\u4e86&#xff0c;\u4f46\u6bcf\u6bb5\u5185\u90e8\u7684\u987a\u5e8f\u90fd\u53cd\u4e86&#xff1b;\u5c40\u90e8\u53cd\u8f6c\u5206\u522b\u628a\u6bcf\u6bb5\u518d\u53cd\u8f6c\u4e00\u6b21&#xff0c;\u6062\u590d\u5b83\u4eec\u5185\u90e8\u7684\u6b63\u786e\u987a\u5e8f\u3002\u5c31\u50cf\u4f60\u628a\u4e00\u526f\u724c\u5206\u6210\u4e24\u645e&#xff0c;\u5148\u628a\u6574\u526f\u724c\u5012\u8fc7\u6765&#xff0c;\u518d\u628a\u6bcf\u645e\u5206\u522b\u6b63\u8fc7\u6765\u3002<\/p>\n<p>\u4ee3\u7801\u5b9e\u73b0<\/p>\n<p>go<\/p>\n<p>func reverse(arr []int) {<br \/>\n    l, r :&#061; 0, len(arr)-1<br \/>\n    for l &lt;&#061; r {<br \/>\n        arr[l], arr[r] &#061; arr[r], arr[l]<br \/>\n        l&#043;&#043;<br \/>\n        r&#8211;<br \/>\n    }<br \/>\n}<\/p>\n<p>func rotate(nums []int, k int) {<br \/>\n    n :&#061; len(nums)<br \/>\n    k %&#061; n<\/p>\n<p>    reverse(nums)       \/\/ \u53cd\u8f6c\u6574\u4e2a\u6570\u7ec4<br \/>\n    reverse(nums[:k])   \/\/ \u53cd\u8f6c\u524d k \u4e2a<br \/>\n    reverse(nums[k:])   \/\/ \u53cd\u8f6c\u540e n-k \u4e2a<br \/>\n}<\/p>\n<p>\u590d\u6742\u5ea6\u5206\u6790<\/p>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6: O(n) \u2014 \u6bcf\u4e2a\u5143\u7d20\u88ab\u4ea4\u6362\u5e38\u6570\u6b21&#xff0c;\u7cbe\u786e\u4e3a n \u6b21\u4ea4\u6362<\/p>\n<p>\u7a7a\u95f4\u590d\u6742\u5ea6: O(1) \u2014 \u539f\u5730\u64cd\u4f5c&#xff0c;\u6ca1\u6709\u989d\u5916\u7a7a\u95f4<\/p>\n<p>\u4f18\u7f3a\u70b9<\/p>\n<p>\u4f18\u70b9&#xff1a;\u65f6\u95f4\u590d\u6742\u5ea6\u6700\u4f18 O(n)&#xff0c;\u7a7a\u95f4\u590d\u6742\u5ea6\u6700\u4f18 O(1)&#xff0c;\u4ee3\u7801\u7b80\u6d01\u4f18\u96c5<\/p>\n<p>\u7f3a\u70b9&#xff1a;\u601d\u8def\u6bd4\u8f83\u5de7\u5999&#xff0c;\u9700\u8981\u7406\u89e3\u53cd\u8f6c\u7684&#034;\u8d1f\u8d1f\u5f97\u6b63&#034;\u6548\u5e94<\/p>\n<h3>\u4e09\u79cd\u89e3\u6cd5\u5bf9\u6bd4\u603b\u7ed3<\/h3>\n<p>\u89e3\u6cd5 \u65f6\u95f4\u590d\u6742\u5ea6 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