{"id":78417,"date":"2026-02-27T12:49:26","date_gmt":"2026-02-27T04:49:26","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/78417.html"},"modified":"2026-02-27T12:49:26","modified_gmt":"2026-02-27T04:49:26","slug":"%e4%b8%89%e6%95%b0%e4%b9%8b%e5%92%8cthreesum","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/78417.html","title":{"rendered":"\u4e09\u6570\u4e4b\u548cthreeSum"},"content":{"rendered":"<h2>\u95ee\u9898<\/h2>\n<p>\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 nums &#xff0c;\u5224\u65ad\u662f\u5426\u5b58\u5728\u4e09\u5143\u7ec4 [nums[i], nums[j], nums[k]] \u6ee1\u8db3 i !&#061; j\u3001i !&#061; k \u4e14 j !&#061; k &#xff0c;\u540c\u65f6\u8fd8\u6ee1\u8db3 nums[i] &#043; nums[j] &#043; nums[k] &#061;&#061; 0 \u3002\u8bf7\u4f60\u8fd4\u56de\u6240\u6709\u548c\u4e3a 0 \u4e14\u4e0d\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<\/p>\n<p>\u6ce8\u610f&#xff1a;\u7b54\u6848\u4e2d\u4e0d\u53ef\u4ee5\u5305\u542b\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<\/p>\n<p>\u793a\u4f8b 1&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;nums &#061; [-1,0,1,2,-1,-4]<br \/>\n\u8f93\u51fa&#xff1a;[[-1,-1,2],[-1,0,1]]<br \/>\n\u89e3\u91ca&#xff1a;<br \/>\nnums[0] &#043; nums[1] &#043; nums[2] &#061; (-1) &#043; 0 &#043; 1 &#061; 0 \u3002<br \/>\nnums[1] &#043; nums[2] &#043; nums[4] &#061; 0 &#043; 1 &#043; (-1) &#061; 0 \u3002<br \/>\nnums[0] &#043; nums[3] &#043; nums[4] &#061; (-1) &#043; 2 &#043; (-1) &#061; 0 \u3002<br \/>\n\u4e0d\u540c\u7684\u4e09\u5143\u7ec4\u662f [-1,0,1] \u548c [-1,-1,2] \u3002<br \/>\n\u6ce8\u610f&#xff0c;\u8f93\u51fa\u7684\u987a\u5e8f\u548c\u4e09\u5143\u7ec4\u7684\u987a\u5e8f\u5e76\u4e0d\u91cd\u8981\u3002<br \/>\n\u793a\u4f8b 2&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;nums &#061; [0,1,1]<br \/>\n\u8f93\u51fa&#xff1a;[]<br \/>\n\u89e3\u91ca&#xff1a;\u552f\u4e00\u53ef\u80fd\u7684\u4e09\u5143\u7ec4\u548c\u4e0d\u4e3a 0 \u3002<br \/>\n\u793a\u4f8b 3&#xff1a;<\/p>\n<p>\u8f93\u5165&#xff1a;nums &#061; [0,0,0]<br \/>\n\u8f93\u51fa&#xff1a;[[0,0,0]]<br \/>\n\u89e3\u91ca&#xff1a;\u552f\u4e00\u53ef\u80fd\u7684\u4e09\u5143\u7ec4\u548c\u4e3a 0 \u3002<\/p>\n<h2>\u89e3\u6cd5<\/h2>\n<p>class Solution:<br \/>\n    def threeSum(self, nums: List[int]) -&gt; List[List[int]]:<br \/>\n        &#034;&#034;&#034;<br \/>\n        \u7ed9\u5b9a\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 nums&#xff0c;\u8fd4\u56de\u6240\u6709\u548c\u4e3a 0 \u7684\u4e09\u5143\u7ec4\u3002<br \/>\n        \u4e09\u5143\u7ec4\u4e2d\u7684\u5143\u7d20\u5fc5\u987b\u662f\u552f\u4e00\u7684&#xff0c;\u5e76\u4e14\u53ef\u4ee5\u6309\u4efb\u610f\u987a\u5e8f\u3002<\/p>\n<p>        :param nums: List[int] \u8f93\u5165\u6570\u7ec4<br \/>\n        :return: List[List[int]] \u6240\u6709\u548c\u4e3a 0 \u7684\u4e09\u5143\u7ec4\u5217\u8868<br \/>\n        &#034;&#034;&#034;<br \/>\n        nums.sort()  # \u9996\u5148\u5bf9\u6570\u7ec4\u8fdb\u884c\u6392\u5e8f<br \/>\n        res, k &#061; [], 0  # \u521d\u59cb\u5316\u7ed3\u679c\u5217\u8868\u548c\u7b2c\u4e09\u4e2a\u6570\u7684\u7d22\u5f15<br \/>\n        for k in range(len(nums) &#8211; 2):  # \u679a\u4e3e\u6570\u7ec4\u4e2d\u53ef\u80fd\u7684\u7b2c\u4e09\u4e2a\u6570<br \/>\n            if nums[k] &gt; 0: break  # \u5982\u679c\u7b2c\u4e09\u4e2a\u6570\u5927\u4e8e0&#xff0c;\u5219\u540e\u9762\u7684\u6570\u90fd\u5927\u4e8e0&#xff0c;\u76f4\u63a5\u7ed3\u675f\u5faa\u73af<br \/>\n            if k &gt; 0 and nums[k] &#061;&#061; nums[k &#8211; 1]: continue  # \u8df3\u8fc7\u91cd\u590d\u7684\u7b2c\u4e09\u4e2a\u6570<br \/>\n            i, j &#061; k &#043; 1, len(nums) &#8211; 1  # \u521d\u59cb\u5316\u5de6\u53f3\u6307\u9488<br \/>\n            while i &lt; j:  # \u53cc\u6307\u9488\u5bfb\u627e\u548c\u4e3a0\u7684\u53e6\u5916\u4e24\u4e2a\u6570<br \/>\n                s &#061; nums[k] &#043; nums[i] &#043; nums[j]<br \/>\n                if s &lt; 0:  # \u5982\u679c\u548c\u5c0f\u4e8e0&#xff0c;\u5de6\u6307\u9488\u53f3\u79fb<br \/>\n                    i &#043;&#061; 1<br \/>\n                    while i &lt; j and nums[i] &#061;&#061; nums[i &#8211; 1]: i &#043;&#061; 1  # \u8df3\u8fc7\u91cd\u590d\u7684\u5de6\u6307\u9488\u503c<br \/>\n                elif s &gt; 0:  # \u5982\u679c\u548c\u5927\u4e8e0&#xff0c;\u53f3\u6307\u9488\u5de6\u79fb<br \/>\n                    j -&#061; 1<br \/>\n                    while i &lt; j and nums[j] &#061;&#061; nums[j &#043; 1]: j -&#061; 1  # \u8df3\u8fc7\u91cd\u590d\u7684\u53f3\u6307\u9488\u503c<br \/>\n                else:  # \u5982\u679c\u548c\u7b49\u4e8e0&#xff0c;\u627e\u5230\u4e00\u4e2a\u6709\u6548\u7684\u4e09\u5143\u7ec4<br \/>\n                    res.append([nums[k], nums[i], nums[j]])  # \u5c06\u4e09\u5143\u7ec4\u6dfb\u52a0\u5230\u7ed3\u679c\u5217\u8868<br \/>\n                    i &#043;&#061; 1  # \u5de6\u6307\u9488\u53f3\u79fb<br \/>\n                    j -&#061; 1  # \u53f3\u6307\u9488\u5de6\u79fb<br \/>\n                    while i &lt; j and nums[i] &#061;&#061; nums[i &#8211; 1]: i &#043;&#061; 1  # \u8df3\u8fc7\u91cd\u590d\u7684\u5de6\u6307\u9488\u503c<br \/>\n                    while i &lt; j and nums[j] &#061;&#061; nums[j &#043; 1]: j -&#061; 1  # \u8df3\u8fc7\u91cd\u590d\u7684\u53f3\u6307\u9488\u503c<br \/>\n        return res  # \u8fd4\u56de\u7ed3\u679c\u5217\u8868<\/p>\n<p>\u5b9e\u73b0\u6b65\u9aa4&#xff1a;<\/p>\n<li>\u9996\u5148\u5bf9\u8f93\u5165\u6570\u7ec4 nums \u8fdb\u884c\u6392\u5e8f\u3002<\/li>\n<li>\u521d\u59cb\u5316\u4e00\u4e2a\u7ed3\u679c\u5217\u8868 res \u7528\u4e8e\u5b58\u50a8\u627e\u5230\u7684\u4e09\u5143\u7ec4&#xff0c;\u4ee5\u53ca\u4e00\u4e2a\u7d22\u5f15 k \u7528\u4e8e\u679a\u4e3e\u6570\u7ec4\u4e2d\u53ef\u80fd\u7684\u7b2c\u4e09\u4e2a\u6570\u3002<\/li>\n<li>\u4f7f\u7528 for \u5faa\u73af\u679a\u4e3e\u6570\u7ec4\u4e2d\u53ef\u80fd\u7684\u7b2c\u4e09\u4e2a\u6570&#xff0c;\u5982\u679c\u7b2c\u4e09\u4e2a\u6570\u5927\u4e8e0&#xff0c;\u5219\u540e\u9762\u7684\u6570\u90fd\u5927\u4e8e0&#xff0c;\u76f4\u63a5\u7ed3\u675f\u5faa\u73af\u3002<\/li>\n<li>\u5728\u679a\u4e3e\u7b2c\u4e09\u4e2a\u6570\u65f6&#xff0c;\u8df3\u8fc7\u91cd\u590d\u7684\u503c\u4ee5\u907f\u514d\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002<\/li>\n<li>\u521d\u59cb\u5316\u5de6\u53f3\u6307\u9488 i \u548c j&#xff0c;\u5206\u522b\u6307\u5411\u7b2c\u4e09\u4e2a\u6570\u4e4b\u540e\u7684\u4e0b\u4e00\u4e2a\u6570\u548c\u6570\u7ec4\u7684\u6700\u540e\u4e00\u4e2a\u6570\u3002<\/li>\n<li>\u4f7f\u7528 while \u5faa\u73af\u548c\u53cc\u6307\u9488\u6280\u672f\u5bfb\u627e\u548c\u4e3a0\u7684\u53e6\u5916\u4e24\u4e2a\u6570\u3002<\/li>\n<li>\u5982\u679c\u627e\u5230\u548c\u4e3a0\u7684\u4e09\u5143\u7ec4&#xff0c;\u5219\u5c06\u5176\u6dfb\u52a0\u5230\u7ed3\u679c\u5217\u8868 res \u4e2d\u3002<\/li>\n<li>\u6839\u636e\u5f53\u524d\u627e\u5230\u7684\u4e09\u5143\u7ec4\u66f4\u65b0\u5de6\u53f3\u6307\u9488&#xff0c;\u5e76\u8df3\u8fc7\u91cd\u590d\u7684\u503c\u3002<\/li>\n<li>\u7ee7\u7eed\u5bfb\u627e\u4e0b\u4e00\u4e2a\u53ef\u80fd\u7684\u4e09\u5143\u7ec4&#xff0c;\u76f4\u5230\u5de6\u53f3\u6307\u9488\u76f8\u9047\u3002<\/li>\n<li>\u8fd4\u56de\u7ed3\u679c\u5217\u8868 res&#xff0c;\u5373\u6240\u6709\u548c\u4e3a 0 \u7684\u4e09\u5143\u7ec4\u5217\u8868\u3002<\/li>\n<h2>\u7b97\u6cd5\u590d\u6742\u5ea6<\/h2>\n<ul>\n<li>\u65f6\u95f4\u590d\u6742\u5ea6\u00a0O(N2)&#xff1a;\u5176\u4e2d\u56fa\u5b9a\u6307\u9488k\u5faa\u73af\u590d\u6742\u5ea6\u00a0O(N)&#xff0c;\u53cc\u6307\u9488\u00a0i&#xff0c;j\u00a0\u590d\u6742\u5ea6\u00a0O(N)\u3002<\/li>\n<li>\u7a7a\u95f4\u590d\u6742\u5ea6\u00a0O(1)&#xff1a;\u6307\u9488\u4f7f\u7528\u5e38\u6570\u5927\u5c0f\u7684\u989d\u5916\u7a7a\u95f4\u3002<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>\u95ee\u9898\u7ed9\u4f60\u4e00\u4e2a\u6574\u6570\u6570\u7ec4 nums &#xff0c;\u5224\u65ad\u662f\u5426\u5b58\u5728\u4e09\u5143\u7ec4 [nums[i], nums[j], nums[k]] \u6ee1\u8db3 i ! j\u3001i ! k \u4e14 j ! k &#xff0c;\u540c\u65f6\u8fd8\u6ee1\u8db3 nums[i]  nums[j]  nums[k]  0 \u3002\u8bf7\u4f60\u8fd4\u56de\u6240\u6709\u548c\u4e3a 0 \u4e14\u4e0d\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002\u6ce8\u610f&#xff1a;\u7b54\u6848\u4e2d\u4e0d\u53ef\u4ee5\u5305\u542b\u91cd\u590d\u7684\u4e09\u5143\u7ec4\u3002\u793a\u4f8b 1&#xff1a;\u8f93\u5165&#xff1a;nums  [-1,0,1,2,-1,-4]<br \/>\n\u8f93\u51fa&#xff1a;[[-1,-1,2],<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[8176,1813,427],"topic":[],"class_list":["post-78417","post","type-post","status-publish","format-standard","hentry","category-server","tag-8176","tag-1813","tag-427"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.3 - 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