{"id":94963,"date":"2026-08-15T21:09:32","date_gmt":"2026-08-15T13:09:32","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/94963.html"},"modified":"2026-08-15T21:09:32","modified_gmt":"2026-08-15T13:09:32","slug":"leetcode-1658%ef%bc%9a%e5%b0%86-x-%e5%87%8f%e5%88%b0-0-%e7%9a%84%e6%9c%80%e5%b0%8f%e6%93%8d%e4%bd%9c%e6%95%b0%ef%bc%88%e6%bb%91%e5%8a%a8%e7%aa%97%e5%8f%a3%ef%bc%89-%e9%a2%98","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/94963.html","title":{"rendered":"LeetCode 1658\uff1a\u5c06 x \u51cf\u5230 0 \u7684\u6700\u5c0f\u64cd\u4f5c\u6570\uff08\u6ed1\u52a8\u7a97\u53e3\uff09 \u2014\u2014 \u9898\u89e3"},"content":{"rendered":"<h2>\u00a0\u00a0&#x1f44b; \u6b22\u8fce\u9605\u8bfb<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"686\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260815130923-6a8065032268c.jpg\" width=\"868\" \/><\/p>\n<h2>\u4e00.\u9898\u76ee<\/h2>\n<p>1658. \u5c06 x \u51cf\u5230 0 \u7684\u6700\u5c0f\u64cd\u4f5c\u6570 &#8211; \u529b\u6263&#xff08;LeetCode&#xff09;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"704\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260815130923-6a8065035d4bf.png\" width=\"846\" \/>\u200b<\/p>\n<p>&#x1f3af; \u6b22\u8fce\u6765\u5230\u300c\u5c06 x \u51cf\u5230 0 \u7684\u6700\u5c0f\u64cd\u4f5c\u6570\u300d\u9898\u89e3\u4e4b\u65c5&#xff01;\u00a0\u672c\u6587\u5c06\u5e26\u4f60\u4ece\u201c\u4ece\u6570\u7ec4\u4e24\u7aef\u79fb\u9664\u5143\u7d20\u4f7f\u603b\u548c\u6070\u597d\u4e3a x\u201d\u8fd9\u4e00\u9006\u5411\u601d\u7ef4\u95ee\u9898\u51fa\u53d1&#xff0c;\u6df1\u5165\u7406\u89e3\u6ed1\u52a8\u7a97\u53e3\u7684\u5de7\u5999\u8f6c\u5316&#xff0c;\u5e76\u638c\u63e1\u5982\u4f55\u901a\u8fc7\u5bfb\u627e\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4\u6765\u95f4\u63a5\u6c42\u89e3\u6700\u5c11\u64cd\u4f5c\u6b21\u6570\u3002<\/p>\n<p>\u5728\u5f00\u59cb\u4e4b\u524d&#xff0c;\u5efa\u8bae\u4f60\u5148&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u4e86\u89e3\u9898\u76ee\u80cc\u666f&#xff1a;\u8fd9\u662f LeetCode 1658 \u9898&#xff0c;\u7ed9\u5b9a\u6570\u7ec4\u00a0nums\u00a0\u548c\u6574\u6570\u00a0x&#xff0c;\u6bcf\u6b21\u53ea\u80fd\u79fb\u9664\u6700\u5de6\u6216\u6700\u53f3\u7684\u5143\u7d20&#xff0c;\u5e76\u4ece\u00a0x\u00a0\u4e2d\u51cf\u53bb\u8be5\u503c&#xff0c;\u6c42\u4f7f\u00a0x\u00a0\u6070\u597d\u51cf\u4e3a 0 \u7684\u6700\u5c11\u64cd\u4f5c\u6570&#xff1b;\u82e5\u65e0\u6cd5\u5b9e\u73b0\u5219\u8fd4\u56de\u00a0-1\u3002\u76f4\u63a5\u6a21\u62df\u4e24\u7aef\u79fb\u9664\u8f83\u590d\u6742&#xff0c;\u4f46\u82e5\u9006\u5411\u601d\u8003\u2014\u2014\u4fdd\u7559\u4e0b\u6765\u7684\u5fc5\u5b9a\u662f\u6570\u7ec4\u4e2d\u95f4\u7684\u4e00\u6bb5\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u5176\u548c\u7b49\u4e8e\u00a0\u603b\u548c &#8211; x&#xff0c;\u95ee\u9898\u5c31\u8f6c\u5316\u4e3a\u627e\u6700\u957f\u7684\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u4f7f\u5f97\u5176\u548c\u7b49\u4e8e\u00a0target &#061; sum &#8211; x&#xff0c;\u800c\u6700\u5c11\u64cd\u4f5c\u6570\u5c31\u662f\u00a0n &#8211; \u6700\u957f\u5b50\u6570\u7ec4\u957f\u5ea6\u3002<\/p>\n<\/li>\n<li>\n<p>\u660e\u786e\u5b66\u4e60\u76ee\u6807&#xff1a;\u638c\u63e1\u9006\u5411\u8f6c\u5316\u6280\u5de7\u2014\u2014\u5c06\u201c\u79fb\u9664\u4e24\u7aef\u201d\u8f6c\u5316\u4e3a\u201c\u4fdd\u7559\u4e2d\u95f4\u8fde\u7eed\u6bb5\u201d&#xff0c;\u5e76\u7528\u6ed1\u52a8\u7a97\u53e3\u5728\u00a0O(n)O(n)\u00a0\u65f6\u95f4\u5185\u627e\u5230\u548c\u4e3a\u76ee\u6807\u503c\u7684\u6700\u957f\u5b50\u6570\u7ec4\u3002\u7406\u89e3\u4e3a\u4ec0\u4e48\u201c\u7a97\u53e3\u548c\u7b49\u4e8e target\u201d\u65f6\u5c31\u662f\u5408\u6cd5\u89e3&#xff0c;\u4ee5\u53ca\u5982\u4f55\u901a\u8fc7\u6536\u7f29\u5de6\u8fb9\u754c\u5904\u7406\u7a97\u53e3\u548c\u8fc7\u5927\u7684\u60c5\u51b5&#xff0c;\u540c\u65f6\u719f\u7ec3\u5904\u7406\u8fb9\u754c&#xff08;\u5982\u00a0target &lt; 0\u00a0\u6216\u4e0d\u5b58\u5728\u5219\u8fd4\u56de\u00a0-1&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u51c6\u5907\u597d\u73af\u5883&#xff1a;\u5efa\u8bae\u5728\u672c\u5730 IDE \u6216 LeetCode \u5728\u7ebf\u7f16\u8f91\u5668\u4e2d\u6253\u5f00\u4ee3\u7801&#xff0c;\u8fb9\u770b\u8fb9\u8fd0\u884c&#xff0c;\u4eb2\u624b\u9a8c\u8bc1\u793a\u4f8b&#xff08;\u5982\u00a0nums &#061; [1,1,4,2,3], x &#061; 5\u00a0\u8f93\u51fa\u00a02&#xff09;\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u672c\u6587\u5c06\u4ece\u95ee\u9898\u8f6c\u5316\u3001\u9006\u5411\u6784\u9020\u76ee\u6807\u3001\u6ed1\u52a8\u7a97\u53e3\u5b9e\u73b0\u5230\u4ee3\u7801\u5256\u6790&#xff0c;\u5c42\u5c42\u9012\u8fdb\u3002\u5373\u4f7f\u4f60\u5bf9\u6ed1\u52a8\u7a97\u53e3\u8fd8\u4e0d\u719f\u6089&#xff0c;\u6211\u4eec\u4e5f\u4f1a\u4ece\u201c\u79fb\u9664\u4e24\u7aef\u5176\u5b9e\u5c31\u662f\u4fdd\u7559\u4e2d\u95f4\u201d\u8fd9\u4e00\u6838\u5fc3\u76f4\u89c9\u51fa\u53d1&#xff0c;\u8ba9\u4f60\u8f7b\u677e\u6293\u4f4f\u5173\u952e\u601d\u60f3\u2014\u2014\u6700\u5c11\u7684\u64cd\u4f5c\u6570\u5bf9\u5e94\u6700\u957f\u7684\u4e2d\u95f4\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u800c\u6ed1\u52a8\u7a97\u53e3\u6b63\u662f\u5bfb\u627e\u6ee1\u8db3\u56fa\u5b9a\u548c\u7684\u6700\u957f\u7a97\u53e3\u7684\u6807\u51c6\u5de5\u5177\u3002\u73b0\u5728&#xff0c;\u8ba9\u6211\u4eec\u4e00\u8d77\u7528\u9006\u5411\u601d\u7ef4&#xff0c;\u628a\u96be\u9898\u8f6c\u5316\u4e3a\u719f\u6089\u7684\u5b50\u6570\u7ec4\u548c\u95ee\u9898\u5427&#xff01; &#x1f504;&#x1f4d0;<\/p>\n<h2>\u4e8c.\u505a\u9898\u601d\u8def<\/h2>\n<h4><span style=\"color:#1c7892\">\u4e00\u3001\u95ee\u9898\u5206\u6790&#xff08;\u524d\u7f6e\u5206\u6790&#xff09;<\/span><\/h4>\n<p>\u6bcf\u6b21\u4ece\u6570\u7ec4\u00a0\u6700\u5de6\u7aef\u6216\u6700\u53f3\u7aef\u00a0\u79fb\u9664\u4e00\u4e2a\u5143\u7d20&#xff0c;\u5e76\u5c06\u5176\u503c\u4ece\u00a0x\u00a0\u4e2d\u51cf\u53bb&#xff0c;\u76f4\u5230\u00a0x\u00a0\u6070\u597d\u53d8\u4e3a 0\u3002\u6c42\u00a0\u6700\u5c11\u64cd\u4f5c\u6b21\u6570\u3002 \u6838\u5fc3\u8f6c\u5316&#xff08;\u9006\u5411\u601d\u7ef4&#xff09;&#xff1a;\u4ece\u4e24\u7aef\u79fb\u9664\u5143\u7d20&#xff0c;\u7b49\u4ef7\u4e8e\u5728\u6570\u7ec4\u4e2d\u95f4\u00a0\u4fdd\u7559\u4e00\u4e2a\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u8be5\u5b50\u6570\u7ec4\u7684\u548c &#061;\u00a0\u6570\u7ec4\u603b\u548c &#8211; x\u3002 \u4e8e\u662f\u95ee\u9898\u53d8\u4e3a&#xff1a;\u5728\u6570\u7ec4\u4e2d\u5bfb\u627e\u4e00\u4e2a\u548c\u6070\u597d\u7b49\u4e8e\u00a0target &#061; sum &#8211; x\u00a0\u7684\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u56e0\u4e3a\u64cd\u4f5c\u6b21\u6570 &#061;\u00a0n &#8211; \u5b50\u6570\u7ec4\u957f\u5ea6&#xff0c;\u5b50\u6570\u7ec4\u8d8a\u957f&#xff0c;\u64cd\u4f5c\u8d8a\u5c11\u3002 \u82e5\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5b50\u6570\u7ec4&#xff0c;\u6216\u00a0target &lt; 0&#xff0c;\u8fd4\u56de -1\u3002<\/p>\n<hr \/>\n<h4><span style=\"color:#1c7892\">\u4e8c\u3001\u7b97\u6cd5\u7b56\u7565&#xff08;\u6ed1\u52a8\u7a97\u53e3&#xff09;<\/span><\/h4>\n<ul>\n<li>\n<p>\u5148\u8ba1\u7b97\u00a0\u6570\u7ec4\u603b\u548c\u00a0sum1\u3002\u82e5\u00a0sum1 &#061;&#061; x&#xff0c;\u76f4\u63a5\u8fd4\u56de\u00a0n&#xff08;\u79fb\u9664\u6574\u4e2a\u6570\u7ec4&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u4ee4\u00a0target &#061; sum1 &#8211; x&#xff0c;\u82e5\u00a0target &lt; 0&#xff0c;\u76f4\u63a5\u8fd4\u56de -1\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f7f\u7528\u00a0\u6ed1\u52a8\u7a97\u53e3\u00a0\u5728\u6570\u7ec4\u4e0a\u5bfb\u627e\u00a0\u548c\u6070\u597d\u7b49\u4e8e\u00a0target\u00a0\u7684\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4&#xff1a;<\/p>\n<ul>\n<li>\n<p>\u5de6\u53f3\u6307\u9488\u00a0left\u3001right\u00a0\u521d\u59cb\u4e3a 0&#xff0c;\u53d8\u91cf\u00a0sum2\u00a0\u8bb0\u5f55\u5f53\u524d\u7a97\u53e3\u548c\u3002<\/p>\n<\/li>\n<li>\n<p>\u53f3\u6307\u9488\u00a0right\u00a0\u5411\u53f3\u6269\u5c55&#xff0c;\u5c06\u00a0nums[right]\u00a0\u52a0\u5165\u00a0sum2\u3002<\/p>\n<\/li>\n<li>\n<p>\u82e5\u00a0sum2 &gt; target&#xff0c;\u5219\u00a0\u6536\u7f29\u5de6\u6307\u9488\u00a0left&#xff0c;\u76f4\u5230\u00a0sum2 &lt;&#061; target\u3002<\/p>\n<\/li>\n<li>\n<p>\u82e5\u00a0sum2 &#061;&#061; target&#xff0c;\u5219\u627e\u5230\u4e00\u4e2a\u6709\u6548\u5b50\u6570\u7ec4&#xff0c;\u66f4\u65b0\u00a0\u6700\u5c11\u64cd\u4f5c\u6b21\u6570\u00a0len &#061; min(len, n &#8211; (right &#8211; left &#043; 1))\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u904d\u5386\u7ed3\u675f\u540e&#xff0c;\u82e5\u00a0len\u00a0\u4ecd\u4e3a\u521d\u59cb\u6700\u5927\u503c&#xff0c;\u8fd4\u56de -1&#xff1b;\u5426\u5219\u8fd4\u56de\u00a0len\u3002<\/p>\n<\/li>\n<\/ul>\n<p>\u793a\u4f8b\u6267\u884c\u8fc7\u7a0b&#xff08;nums &#061; [1, 1, 4, 2, 3],\u00a0x &#061; 5&#xff0c;\u603b\u548c\u00a0sum1 &#061; 11&#xff0c;target &#061; 6&#xff09;&#xff1a;<\/p>\n<table>\n<tr>\u6b65\u9aa4rightnums[right]\u5165\u7a97\u540e\u00a0sum2sum2 &gt; target?\u6536\u7f29\u540e\u00a0sum2\u7a97\u53e3\u00a0[left, right]\u957f\u5ea6\u64cd\u4f5c\u6b21\u6570\u00a0n &#8211; len\u66f4\u65b0\u00a0len<\/tr>\n<tbody>\n<tr>\n<td>\u521d\u59cb<\/td>\n<td>&#8211;<\/td>\n<td>&#8211;<\/td>\n<td>0<\/td>\n<td>&#8211;<\/td>\n<td>&#8211;<\/td>\n<td>&#8211;<\/td>\n<td>&#8211;<\/td>\n<td>&#8211;<\/td>\n<td>\u221e<\/td>\n<\/tr>\n<tr>\n<td>1<\/td>\n<td>0<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<td>\u5426<\/td>\n<td>1<\/td>\n<td>[0,0]<\/td>\n<td>1<\/td>\n<td>4<\/td>\n<td>\u221e<\/td>\n<\/tr>\n<tr>\n<td>2<\/td>\n<td>1<\/td>\n<td>1<\/td>\n<td>2<\/td>\n<td>\u5426<\/td>\n<td>2<\/td>\n<td>[0,1]<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>\u221e<\/td>\n<\/tr>\n<tr>\n<td>3<\/td>\n<td>2<\/td>\n<td>4<\/td>\n<td>6<\/td>\n<td>\u5426&#xff08;\u7b49\u4e8e&#xff09;<\/td>\n<td>6<\/td>\n<td>[0,2]<\/td>\n<td>3<\/td>\n<td>2<\/td>\n<td>2<\/td>\n<\/tr>\n<tr>\n<td>4<\/td>\n<td>3<\/td>\n<td>2<\/td>\n<td>8<\/td>\n<td>\u662f<\/td>\n<td>\u6536\u7f29\u540e\u00a0sum2&#061;6&#xff0c;left&#061;2<\/td>\n<td>[2,3]<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>2&#xff08;\u4fdd\u6301&#xff09;<\/td>\n<\/tr>\n<tr>\n<td>5<\/td>\n<td>4<\/td>\n<td>3<\/td>\n<td>9<\/td>\n<td>\u662f<\/td>\n<td>\u6536\u7f29\u540e\u00a0sum2&#061;5&#xff0c;left&#061;3<\/td>\n<td>[3,4]<\/td>\n<td>2<\/td>\n<td>3<\/td>\n<td>2&#xff08;\u4fdd\u6301&#xff09;<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<hr \/>\n<h4><span style=\"color:#1c7892\">\u4e09\u3001\u6b63\u786e\u6027\u8bf4\u660e&#xff08;\u7b80\u5355\u7248\u672c&#xff09;<\/span><\/h4>\n<p>\u9006\u5411\u8f6c\u5316\u4fdd\u8bc1\u4e86\u539f\u95ee\u9898\u7684\u89e3\u4e0e\u00a0\u5bfb\u627e\u548c\u4e3a\u00a0target\u00a0\u7684\u8fde\u7eed\u5b50\u6570\u7ec4\u00a0\u7b49\u4ef7\u3002\u6ed1\u52a8\u7a97\u53e3\u00a0\u5728\u6b63\u6570\u6570\u7ec4\u4e0a\u80fd\u627e\u5230\u6240\u6709\u548c\u4e3a\u00a0target\u00a0\u7684\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u56e0\u4e3a\u5f53\u7a97\u53e3\u548c\u8d85\u8fc7\u76ee\u6807\u65f6&#xff0c;\u6240\u6709\u6b63\u6570\u90fd\u53ea\u4f1a\u589e\u52a0\u548c&#xff0c;\u6240\u4ee5\u5fc5\u987b\u6536\u7f29\u5de6\u6307\u9488\u3002\u5728\u7a97\u53e3\u548c\u7b49\u4e8e\u76ee\u6807\u65f6&#xff0c;\u8bb0\u5f55\u5f53\u524d\u7a97\u53e3\u957f\u5ea6&#xff0c;\u53d6\u6700\u5927\u503c\u3002\u7531\u4e8e\u6211\u4eec\u8bb0\u5f55\u7684\u662f\u00a0\u6700\u957f\u00a0\u6709\u6548\u5b50\u6570\u7ec4\u957f\u5ea6&#xff0c;\u6240\u4ee5\u64cd\u4f5c\u6b21\u6570\u00a0n &#8211; \u6700\u957f\u957f\u5ea6\u00a0\u5c31\u662f\u00a0\u6700\u5c11\u00a0\u64cd\u4f5c\u6b21\u6570\u3002\u8be5\u7b56\u7565\u904d\u5386\u4e86\u6240\u6709\u53ef\u80fd\u7684\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u4e0d\u4f1a\u6f0f\u89e3&#xff0c;\u56e0\u6b64\u6b63\u786e\u3002<\/p>\n<hr \/>\n<h4><span style=\"color:#1c7892\">\u56db\u3001\u5b9e\u73b0\u7ec6\u8282&#xff08;\u8fb9\u754c\u9632\u62a4&#xff09;<\/span><\/h4>\n<ul>\n<li>\n<p>\u5148\u8ba1\u7b97\u00a0\u603b\u548c\u00a0sum1&#xff0c;\u82e5\u00a0sum1 &#061;&#061; x\u00a0\u76f4\u63a5\u8fd4\u56de\u00a0n\u3002<\/p>\n<\/li>\n<li>\n<p>\u8ba1\u7b97\u00a0\u76ee\u6807\u503c\u00a0target &#061; sum1 &#8211; x&#xff0c;\u82e5\u00a0target &lt; 0\u00a0\u8fd4\u56de\u00a0-1\u3002<\/p>\n<\/li>\n<li>\n<p>\u521d\u59cb\u5316\u00a0left &#061; 0&#xff0c;sum2 &#061; 0&#xff0c;len &#061; INT_MAX\u3002<\/p>\n<\/li>\n<li>\n<p>\u4f7f\u7528\u00a0for\u00a0\u5faa\u73af\u00a0\u904d\u5386\u53f3\u6307\u9488\u00a0right&#xff1a;<\/p>\n<ul>\n<li>\n<p>sum2 &#043;&#061; nums[right]\u00a0\u5165\u7a97\u53e3&#xff1b;<\/p>\n<\/li>\n<li>\n<p>\u82e5\u00a0sum2 &gt; target&#xff0c;\u5219\u00a0\u6536\u7f29\u5de6\u6307\u9488&#xff1a;while (sum2 &gt; target &amp;&amp; left &lt;&#061; right) { sum2 -&#061; nums[left&#043;&#043;]; }<\/p>\n<\/li>\n<li>\n<p>\u82e5\u00a0sum2 &#061;&#061; target&#xff0c;\u66f4\u65b0\u00a0len &#061; min(len, n &#8211; (right &#8211; left &#043; 1))\u3002<\/p>\n<\/li>\n<\/ul>\n<\/li>\n<li>\n<p>\u6ce8\u610f\u00a0while\u00a0\u5faa\u73af\u6761\u4ef6\u00a0\u5e94\u4f7f\u7528\u00a0sum2 &gt; target &amp;&amp; left &lt;&#061; right\u00a0\u9632\u6b62\u00a0left\u00a0\u8d8a\u754c&#xff08;\u539f\u4ee3\u7801\u7528\u00a0left &lt; right&#xff0c;\u4f46\u5efa\u8bae\u6539\u7528\u66f4\u4e25\u8c28\u7684\u5199\u6cd5&#xff09;\u3002<\/p>\n<\/li>\n<li>\n<p>\u82e5\u904d\u5386\u7ed3\u675f\u540e\u00a0len &#061;&#061; INT_MAX&#xff0c;\u8fd4\u56de\u00a0-1&#xff1b;\u5426\u5219\u8fd4\u56de\u00a0len\u3002<\/p>\n<\/li>\n<li>\n<p>\u65f6\u95f4\u590d\u6742\u5ea6\u00a0O(n)&#xff0c;\u7a7a\u95f4\u590d\u6742\u5ea6\u00a0O(1)\u3002<\/p>\n<\/li>\n<\/ul>\n<hr \/>\n<h4><span style=\"color:#1c7892\">\u4e94\u3001\u8fd4\u56de\u503c&#xff08;\u76ee\u6807\u6620\u5c04&#xff09;<\/span><\/h4>\n<p>\u8fd4\u56de\u00a0len&#xff0c;\u5373\u00a0\u5c06\u00a0x\u00a0\u51cf\u5230 0 \u6240\u9700\u7684\u6700\u5c11\u64cd\u4f5c\u6570\u3002\u82e5\u65e0\u6cd5\u5b9e\u73b0&#xff0c;\u8fd4\u56de -1\u3002<\/p>\n<h2>\u4e09.\u4ee3\u7801<\/h2>\n<p>class Solution<br \/>\n{<br \/>\npublic:<br \/>\n    int minOperations(vector&lt;int&gt;&amp; nums, int x)<br \/>\n    {<br \/>\n        \/\/ \u7b97\u6cd5\u601d\u8def&#xff1a;\u9006\u5411\u601d\u7ef4<br \/>\n        \/\/ \u9898\u76ee\u8981\u6c42\u4ece\u6570\u7ec4\u4e24\u7aef\u79fb\u9664\u5143\u7d20&#xff0c;\u4f7f\u5f97\u79fb\u9664\u7684\u5143\u7d20\u4e4b\u548c\u7b49\u4e8e x\u3002<br \/>\n        \/\/ \u8fd9\u7b49\u4ef7\u4e8e&#xff1a;\u5728\u6570\u7ec4\u4e2d\u95f4\u4fdd\u7559\u4e00\u4e2a\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u5176\u548c &#061; \u6570\u7ec4\u603b\u548c &#8211; x\u3002<br \/>\n        \/\/ \u95ee\u9898\u8f6c\u5316\u4e3a&#xff1a;\u5bfb\u627e\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u4f7f\u5176\u548c\u4e3a target &#061; sum &#8211; x\u3002<br \/>\n        \/\/ \u7136\u540e\u7528\u6570\u7ec4\u603b\u957f\u5ea6 n \u51cf\u53bb\u8be5\u5b50\u6570\u7ec4\u957f\u5ea6&#xff0c;\u5373\u4e3a\u6700\u5c11\u64cd\u4f5c\u6b21\u6570\u3002<br \/>\n        \/\/ \u82e5 target &lt; 0 \u6216\u4e0d\u5b58\u5728\u8fd9\u6837\u7684\u5b50\u6570\u7ec4&#xff0c;\u5219\u8fd4\u56de -1\u3002<\/p>\n<p>        int n &#061; nums.size();<\/p>\n<p>        \/\/ 1. \u8ba1\u7b97\u6570\u7ec4\u603b\u548c sum1<br \/>\n        int sum1 &#061; 0;   \/\/ \u6570\u7ec4\u6240\u6709\u5143\u7d20\u4e4b\u548c<br \/>\n        for (int i &#061; 0; i &lt; n; i&#043;&#043;)<br \/>\n        {<br \/>\n            sum1 &#043;&#061; nums[i];<br \/>\n        }<\/p>\n<p>        \/\/ \u7279\u6b8a\u60c5\u51b5&#xff1a;\u5982\u679c\u6574\u4e2a\u6570\u7ec4\u7684\u548c\u6b63\u597d\u7b49\u4e8e x&#xff0c;\u5219\u53ea\u9700\u79fb\u9664\u6574\u4e2a\u6570\u7ec4&#xff0c;\u64cd\u4f5c\u6b21\u6570\u4e3a n<br \/>\n        if (sum1 &#061;&#061; x)<br \/>\n        {<br \/>\n            return n;<br \/>\n        }<\/p>\n<p>        \/\/ \u5982\u679c x \u4e3a\u8d1f\u6570&#xff08;\u9898\u76ee\u4e0d\u4f1a\u51fa\u73b0&#xff0c;\u4f46\u4e3a\u5065\u58ee\u6027\u5904\u7406&#xff09;&#xff0c;\u8fd4\u56de -1<br \/>\n        if (x &lt; 0)<br \/>\n        {<br \/>\n            return -1;<br \/>\n        }<\/p>\n<p>        \/\/ \u76ee\u6807\u503c&#xff1a;\u9700\u8981\u4fdd\u7559\u7684\u8fde\u7eed\u5b50\u6570\u7ec4\u7684\u548c<br \/>\n        int target &#061; sum1 &#8211; x;<br \/>\n        int sum2 &#061; 0;            \/\/ \u5f53\u524d\u7a97\u53e3\u5185\u5143\u7d20\u7684\u548c<br \/>\n        int len &#061; INT_MAX;       \/\/ \u8bb0\u5f55\u6700\u5c11\u64cd\u4f5c\u6b21\u6570&#xff08;\u521d\u59cb\u5316\u4e3a\u6700\u5927\u503c&#xff09;<br \/>\n        int left &#061; 0, right &#061; 0; \/\/ \u6ed1\u52a8\u7a97\u53e3\u7684\u5de6\u53f3\u6307\u9488<\/p>\n<p>        \/\/ 2. \u6ed1\u52a8\u7a97\u53e3&#xff1a;\u5bfb\u627e\u548c\u4e3a target \u7684\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4<br \/>\n        \/\/ \u53f3\u6307\u9488\u4e0d\u65ad\u5411\u53f3\u6269\u5c55&#xff0c;\u7d2f\u52a0\u5143\u7d20\u5230 sum2<br \/>\n        for (right &#061; 0; right &lt; n; right&#043;&#043;)<br \/>\n        {<br \/>\n            sum2 &#043;&#061; nums[right];    \/\/ \u5165\u7a97\u53e3<\/p>\n<p>            \/\/ \u5f53\u7a97\u53e3\u5185\u548c\u5927\u4e8e target \u65f6&#xff0c;\u9700\u8981\u6536\u7f29\u5de6\u8fb9\u754c&#xff0c;\u76f4\u5230 sum2 &lt;&#061; target<br \/>\n            \/\/ \u6ce8\u610f&#xff1a;left &lt; right \u9632\u6b62 left \u8d8a\u754c&#xff08;\u5f53 left &#061;&#061; right \u4e14 sum2 &gt; target \u65f6&#xff0c;\u4f1a\u5148\u6536\u7f29 left&#xff09;<br \/>\n            while (left &lt; right &amp;&amp; target &lt; sum2)<br \/>\n            {<br \/>\n                sum2 -&#061; nums[left];  \/\/ \u51fa\u7a97\u53e3<br \/>\n                left&#043;&#043;;              \/\/ \u5de6\u6307\u9488\u53f3\u79fb<br \/>\n            }<\/p>\n<p>            \/\/ \u5982\u679c\u7a97\u53e3\u5185\u548c\u6070\u597d\u7b49\u4e8e target&#xff0c;\u5219\u8bf4\u660e\u627e\u5230\u4e86\u4e00\u4e2a\u6709\u6548\u7684\u8fde\u7eed\u5b50\u6570\u7ec4<br \/>\n            \/\/ \u5176\u957f\u5ea6\u4e3a right &#8211; left &#043; 1&#xff0c;\u5bf9\u5e94\u7684\u64cd\u4f5c\u6b21\u6570\u4e3a n &#8211; \u5b50\u6570\u7ec4\u957f\u5ea6<br \/>\n            if (target &#061;&#061; sum2)<br \/>\n            {<br \/>\n                \/\/ \u66f4\u65b0\u6700\u5c11\u64cd\u4f5c\u6b21\u6570&#xff08;\u4fdd\u7559\u7684\u5b50\u6570\u7ec4\u8d8a\u957f&#xff0c;\u64cd\u4f5c\u6b21\u6570\u8d8a\u5c11&#xff09;<br \/>\n                len &#061; min(len, n &#8211; (right &#8211; left &#043; 1));<br \/>\n            }<br \/>\n        }<\/p>\n<p>        \/\/ 3. \u5982\u679c len \u4ecd\u4e3a INT_MAX&#xff0c;\u8bf4\u660e\u4e0d\u5b58\u5728\u548c\u4e3a target \u7684\u5b50\u6570\u7ec4&#xff0c;\u8fd4\u56de -1<br \/>\n        if (len &#061;&#061; INT_MAX)<br \/>\n        {<br \/>\n            return -1;<br \/>\n        }<br \/>\n        \/\/ \u5426\u5219\u8fd4\u56de\u6700\u5c11\u64cd\u4f5c\u6b21\u6570<br \/>\n        return len;<br \/>\n    }<br \/>\n}; <\/p>\n<h2>\u56db\u3001\u6613\u9519\u70b9\u5206\u6790<\/h2>\n<h4>\u96be\u70b9\u4e00&#xff1a;\u95ee\u9898\u8f6c\u5316\u2014\u2014\u4e3a\u4ec0\u4e48\u7528\u201c\u4fdd\u7559\u5b50\u6570\u7ec4\u201d\u4ee3\u66ff\u201c\u4e24\u7aef\u79fb\u9664\u201d&#xff1f;<\/h4>\n<p>int target &#061; sum1 &#8211; x; <\/p>\n<p><span style=\"color:#511b78\">\u6838\u5fc3\u96be\u70b9&#xff1a;<\/span> \u9898\u76ee\u8981\u6c42\u4ece\u6570\u7ec4\u4e24\u7aef\u79fb\u9664\u5143\u7d20&#xff0c;\u4f7f\u5176\u548c\u6070\u597d\u7b49\u4e8e\u00a0x&#xff0c;\u6c42\u6700\u5c11\u64cd\u4f5c\u6570\u3002\u76f4\u63a5\u6a21\u62df\u4e24\u7aef\u79fb\u9664\u975e\u5e38\u590d\u6742\u3002 \u9006\u5411\u601d\u7ef4&#xff1a;\u79fb\u9664\u7684\u5143\u7d20\u548c\u7b49\u4e8e\u00a0x&#xff0c;\u90a3\u4e48\u672a\u88ab\u79fb\u9664\u7684\u4e2d\u95f4\u8fde\u7eed\u90e8\u5206\u7684\u548c\u5fc5\u7136\u7b49\u4e8e\u00a0sum &#8211; x\u3002\u56e0\u6b64\u95ee\u9898\u8f6c\u5316\u4e3a&#xff1a;\u5728\u6570\u7ec4\u4e2d\u627e\u5230\u548c\u6700\u63a5\u8fd1\u6216\u6070\u597d\u7b49\u4e8e\u00a0target\u00a0\u7684\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u4e14\u6211\u4eec\u60f3\u8981\u8fd9\u4e2a\u5b50\u6570\u7ec4\u5c3d\u53ef\u80fd\u957f&#xff08;\u56e0\u4e3a\u5269\u4f59\u8981\u79fb\u9664\u7684\u5143\u7d20\u6570\u91cf &#061;\u00a0n &#8211; \u5b50\u6570\u7ec4\u957f\u5ea6&#xff0c;\u8d8a\u957f\u64cd\u4f5c\u8d8a\u5c11&#xff09;\u3002 \u96be\u70b9\u5728\u4e8e\u4ece\u201c\u4e24\u7aef\u53d6\u201d\u81ea\u7136\u8fc7\u6e21\u5230\u201c\u4e2d\u95f4\u7559\u201d&#xff0c;\u9700\u8981\u660e\u786e\u7406\u89e3\u00a0target\u00a0\u7684\u542b\u4e49\u4ee5\u53ca\u4e3a\u4ec0\u4e48\u4fdd\u7559\u5b50\u6570\u7ec4\u8d8a\u957f\u8d8a\u597d\u3002<\/p>\n<hr \/>\n<h4>\u96be\u70b9\u4e8c&#xff1a;\u6ed1\u52a8\u7a97\u53e3\u7ef4\u62a4\u7684\u76ee\u6807\u2014\u2014\u662f\u627e\u201c\u548c\u7b49\u4e8e target\u201d\u7684\u7a97\u53e3&#xff0c;\u800c\u975e\u201c\u4e0d\u8d85\u8fc7 target\u201d<\/h4>\n<p>while (left &lt; right &amp;&amp; target &lt; sum2)<br \/>\n{<br \/>\n    sum2 -&#061; nums[left];<br \/>\n    left&#043;&#043;;<br \/>\n}<br \/>\nif (target &#061;&#061; sum2)<br \/>\n{<br \/>\n    len &#061; min(len, n &#8211; (right &#8211; left &#043; 1));<br \/>\n} <\/p>\n<p><span style=\"color:#511b78\">\u7406\u89e3\u4e0a\u7684\u969c\u788d&#xff1a;<\/span> \u5e38\u89c4\u6ed1\u52a8\u7a97\u53e3\u901a\u5e38\u7528\u4e8e\u627e\u201c\u548c \u2265 target\u201d\u6216\u201c\u548c \u2264 target\u201d\u7684\u6700\u957f\/\u6700\u77ed\u5b50\u6570\u7ec4\u3002\u800c\u672c\u4ee3\u7801\u4e2d&#xff0c;while\u00a0\u6536\u7f29\u6761\u4ef6\u00a0target &lt; sum2\u00a0\u53ea\u662f\u4e3a\u4e86\u4fdd\u8bc1\u7a97\u53e3\u548c\u4e0d\u5927\u4e8e\u00a0target&#xff0c;\u4f46\u4e0d\u4f1a\u7ee7\u7eed\u6536\u7f29\u5230\u00a0sum2 &lt; target&#xff0c;\u56e0\u4e3a\u5143\u7d20\u90fd\u662f\u6b63\u6570&#xff0c;\u4e00\u65e6\u00a0sum2\u00a0\u964d\u5230 \u2264\u00a0target&#xff0c;\u5c31\u53ef\u80fd\u7b49\u4e8e\u6216\u5c0f\u4e8e\u3002 \u5173\u952e&#xff1a;\u6536\u7f29\u540e&#xff0c;\u6211\u4eec\u53ea\u5173\u5fc3\u00a0sum2 &#061;&#061; target\u00a0\u7684\u60c5\u51b5&#xff0c;\u800c\u4e0d\u5173\u6ce8\u5c0f\u4e8e target \u7684\u60c5\u51b5&#xff08;\u56e0\u4e3a\u5c0f\u4e8e target \u65e0\u6cd5\u901a\u8fc7\u6269\u5927\u53f3\u8fb9\u754c\u518d\u6062\u590d&#xff1f;\u5b9e\u9645\u4e0a&#xff0c;\u53f3\u8fb9\u754c\u7ee7\u7eed\u6269\u5c55\u540e\u53ef\u80fd\u518d\u6b21\u7b49\u4e8e target&#xff09;\u3002\u8fd9\u8981\u6c42\u7406\u89e3\u6bcf\u6b21\u53f3\u8fb9\u754c\u56fa\u5b9a\u65f6&#xff0c;\u6211\u4eec\u901a\u8fc7\u6536\u7f29\u5de6\u8fb9\u754c\u5f97\u5230\u5f53\u524d\u53f3\u7aef\u70b9\u4e0b\u7684\u6700\u5c0f\u5408\u6cd5\u7a97\u53e3&#xff08;\u548c \u2264 target&#xff09;&#xff0c;\u7136\u540e\u5224\u65ad\u662f\u5426\u6070\u597d\u7b49\u4e8e target&#xff0c;\u4ece\u800c\u8bb0\u5f55\u6709\u6548\u89e3\u3002 \u96be\u70b9\u5728\u4e8e\u533a\u5206\u201c\u6536\u7f29\u8fc7\u7a0b\u201d\u548c\u201c\u5224\u65ad\u76f8\u7b49\u201d\u662f\u4e24\u4e2a\u72ec\u7acb\u6b65\u9aa4&#xff0c;\u5e76\u4e14\u00a0while\u00a0\u6761\u4ef6\u91cc\u7528\u4e86\u00a0target &lt; sum2\u00a0\u800c\u4e0d\u662f\u00a0sum2 &gt; target&#xff08;\u7b49\u4ef7&#xff09;&#xff0c;\u4f46\u9690\u542b\u4e86\u00a0sum2\u00a0\u53ef\u80fd\u5c0f\u4e8e target \u7684\u60c5\u51b5\u4f1a\u88ab\u4fdd\u7559&#xff0c;\u7b49\u5f85\u540e\u7eed\u6269\u5c55\u3002<\/p>\n<hr \/>\n<h4>\u96be\u70b9\u4e09&#xff1a;\u7528\u00a0min\u00a0\u66f4\u65b0\u00a0len\u00a0\u7b49\u4ef7\u4e8e\u5bfb\u627e\u6700\u957f\u4fdd\u7559\u5b50\u6570\u7ec4<\/h4>\n<p>len &#061; min(len, n &#8211; (right &#8211; left &#043; 1)); <\/p>\n<p><span style=\"color:#511b78\">\u5bb9\u6613\u4ea7\u751f\u7684\u56f0\u60d1&#xff1a;<\/span> \u521d\u59cb\u5316\u00a0len &#061; INT_MAX&#xff0c;\u6bcf\u627e\u5230\u4e00\u4e2a\u548c\u7b49\u4e8e\u00a0target\u00a0\u7684\u7a97\u53e3&#xff0c;\u5c31\u8ba1\u7b97\u64cd\u4f5c\u6570\u00a0n &#8211; \u7a97\u53e3\u957f\u5ea6&#xff0c;\u5e76\u53d6\u6700\u5c0f\u503c\u3002 \u7531\u4e8e\u00a0n\u00a0\u662f\u56fa\u5b9a\u7684&#xff0c;n &#8211; \u7a97\u53e3\u957f\u5ea6\u00a0\u8d8a\u5c0f&#xff0c;\u610f\u5473\u7740\u7a97\u53e3\u957f\u5ea6\u8d8a\u5927\u3002\u56e0\u6b64\u591a\u6b21\u53d6\u6700\u5c0f\u64cd\u4f5c\u6570\u7b49\u4ef7\u4e8e\u5728\u6240\u6709\u53ef\u884c\u7a97\u53e3\u4e2d\u53d6\u6700\u5927\u957f\u5ea6\u3002 \u96be\u70b9\u5728\u4e8e&#xff1a;\u4ee3\u7801\u6ca1\u6709\u663e\u5f0f\u5730\u7ef4\u62a4\u4e00\u4e2a\u201c\u6700\u5927\u7a97\u53e3\u957f\u5ea6\u201d\u53d8\u91cf&#xff0c;\u800c\u662f\u76f4\u63a5\u66f4\u65b0\u64cd\u4f5c\u6570&#xff0c;\u8fd9\u9700\u8981\u7406\u89e3\u4e24\u8005\u4e4b\u95f4\u7684\u7b49\u4ef7\u6027\u3002\u540c\u65f6&#xff0c;\u56e0\u4e3a\u6ed1\u52a8\u7a97\u53e3\u53ef\u80fd\u627e\u5230\u591a\u4e2a\u91cd\u53e0\u7a97\u53e3&#xff0c;\u53d6\u6700\u5c0f\u64cd\u4f5c\u6570\u4fdd\u8bc1\u4e86\u5168\u5c40\u6700\u4f18\u3002<\/p>\n<h2>\u4e94\u3001\u6d41\u7a0b\u56fe<\/h2>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"6986\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260815130923-6a8065038f764.png\" width=\"2027\" \/><\/p>\n<h3 style=\"background-color:transparent\">\u00a0&#x1f3af; \u95ed\u5e55<\/h3>\n<p><img loading=\"lazy\" decoding=\"async\" alt=\"\" height=\"1080\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/08\/20260815130929-6a806509c54bb.jpg\" width=\"1920\" \/><\/p>\n<\/p>\n<p>&#x1f389; \u606d\u559c\u4f60\u5b8c\u6210\u4e86\u300c\u5c06 x \u51cf\u5230 0 \u7684\u6700\u5c0f\u64cd\u4f5c\u6570\u300d\u95ee\u9898\u7684\u5b66\u4e60&#xff01;<\/p>\n<p>\u4e3a\u4e86\u5de9\u56fa\u77e5\u8bc6\u5e76\u8fdb\u4e00\u6b65\u62d3\u5c55&#xff0c;\u5efa\u8bae\u4f60&#xff1a;<\/p>\n<p>&#x1f680;\u00a0\u52a8\u624b\u5b9e\u8df5 \u5728 LeetCode \u4e0a\u63d0\u4ea4\u4ee3\u7801&#xff0c;\u5c1d\u8bd5\u4e0d\u540c\u7684\u6d4b\u8bd5\u7528\u4f8b\u3002<\/p>\n<p>&#x1f4a1;\u00a0\u6df1\u5165\u601d\u8003<\/p>\n<ul>\n<li>\n<p>\u672c\u9898\u91c7\u7528\u00a0\u9006\u5411\u601d\u7ef4&#xff0c;\u5c06\u201c\u4ece\u4e24\u7aef\u79fb\u9664\u5143\u7d20\u201d\u8f6c\u5316\u4e3a\u00a0\u5bfb\u627e\u4e2d\u95f4\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u4f7f\u8be5\u5b50\u6570\u7ec4\u548c\u4e3a\u00a0sum &#8211; x\u3002\u8bf7\u95ee\u00a0\u4e3a\u4ec0\u4e48\u8fd9\u6837\u8f6c\u5316\u662f\u7b49\u4ef7\u7684&#xff1f;\u5176\u6570\u5b66\u4f9d\u636e\u662f\u4ec0\u4e48&#xff1f;<\/p>\n<\/li>\n<li>\n<p>\u4ee3\u7801\u4e2d\u6ed1\u52a8\u7a97\u53e3\u5bfb\u627e\u7684\u662f\u00a0\u548c\u4e3a target \u7684\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u800c\u4e0d\u662f\u76f4\u63a5\u6c42\u6700\u5c0f\u64cd\u4f5c\u6570\u3002\u4e3a\u4ec0\u4e48\u6700\u957f\u5b50\u6570\u7ec4\u5bf9\u5e94\u6700\u5c11\u64cd\u4f5c\u6570&#xff1f;<\/p>\n<\/li>\n<li>\n<p>\u5f53\u00a0target\u00a0\u5c0f\u4e8e 0 \u65f6&#xff0c;\u76f4\u63a5\u8fd4\u56de -1&#xff0c;\u8fd9\u662f\u5426\u5408\u7406&#xff1f;\u5982\u679c\u00a0sum1 &#061;&#061; x\u00a0\u65f6\u8fd4\u56de\u00a0n&#xff0c;\u8fd9\u79cd\u60c5\u51b5\u5bf9\u5e94\u4ec0\u4e48\u573a\u666f&#xff1f;<\/p>\n<\/li>\n<li>\n<p>\u6570\u7ec4\u5143\u7d20\u5747\u4e3a\u00a0\u6b63\u6574\u6570&#xff0c;\u8fd9\u5bf9\u6ed1\u52a8\u7a97\u53e3\u7684\u6709\u6548\u6027\u81f3\u5173\u91cd\u8981\u3002\u5982\u679c\u6570\u7ec4\u4e2d\u5b58\u5728\u00a0\u8d1f\u6570&#xff0c;\u5f53\u524d\u7b97\u6cd5\u8fd8\u6b63\u786e\u5417&#xff1f;\u4e3a\u4ec0\u4e48&#xff1f;<\/p>\n<\/li>\n<\/ul>\n<p>&#x1f4da;\u00a0\u5ef6\u4f38\u6311\u6218<\/p>\n<ul>\n<li>\n<p>\u5982\u679c\u9898\u76ee\u8981\u6c42\u00a0\u8f93\u51fa\u5177\u4f53\u79fb\u9664\u7684\u65b9\u6848&#xff08;\u4f8b\u5982\u6700\u5de6\u8fb9\u79fb\u9664\u51e0\u4e2a&#xff0c;\u6700\u53f3\u8fb9\u79fb\u9664\u51e0\u4e2a&#xff09;&#xff0c;\u800c\u4e0d\u662f\u53ea\u8fd4\u56de\u64cd\u4f5c\u6b21\u6570&#xff0c;\u4f60\u7684\u4ee3\u7801\u5e94\u5982\u4f55\u6539\u9020\u4ee5\u8bb0\u5f55\u65b9\u6848&#xff1f;<\/p>\n<\/li>\n<li>\n<p>\u5982\u679c\u5c06\u95ee\u9898\u6539\u4e3a\u00a0\u201c\u5c06 x \u51cf\u5230 0 \u7684\u6700\u5927\u64cd\u4f5c\u6570\u201d&#xff08;\u5373\u5c3d\u91cf\u591a\u79fb\u9664\u5143\u7d20&#xff0c;\u4f46\u6700\u540e\u4ecd\u8981\u6070\u597d\u51cf\u5230 0&#xff09;&#xff0c;\u7b97\u6cd5\u5e94\u5982\u4f55\u8c03\u6574&#xff1f;<\/p>\n<\/li>\n<\/ul>\n<p>\u5982\u679c\u4f60\u89c9\u5f97\u672c\u6587\u5bf9\u4f60\u6709\u6240\u5e2e\u52a9&#xff0c;\u6b22\u8fce&#xff1a;<\/p>\n<p>&#x1f44d;\u00a0\u70b9\u8d5e \/ \u6536\u85cf &#x1f464;\u00a0\u5173\u6ce8\u4f5c\u8005&#xff0c;\u83b7\u53d6\u66f4\u591a\u9898\u89e3 &#x1f4ac;\u00a0\u7559\u8a00\u4ea4\u6d41\u4f60\u7684\u7591\u95ee\u6216\u4f18\u5316\u601d\u8def<\/p>\n<hr \/>\n<p>&#x1f4cc;\u00a0\u6df1\u5165\u601d\u8003\u7b54\u6848<\/p>\n<ul>\n<li>\n<p>\u8f6c\u5316\u4f9d\u636e&#xff1a;\u6570\u7ec4\u4e24\u7aef\u7684\u79fb\u9664\u5143\u7d20\u4e4b\u548c\u7b49\u4e8e x&#xff0c;\u7b49\u4ef7\u4e8e\u00a0\u5269\u4f59\u4e2d\u95f4\u8fde\u7eed\u90e8\u5206\u7684\u5143\u7d20\u4e4b\u548c &#061; \u603b\u548c &#8211; x\u3002\u56e0\u4e3a\u79fb\u9664\u64cd\u4f5c\u662f\u4ece\u4e24\u7aef\u4e0d\u65ad\u5265\u79bb&#xff0c;\u6700\u540e\u5269\u4e0b\u7684\u5fc5\u7136\u662f\u4e00\u4e2a\u8fde\u7eed\u5b50\u6570\u7ec4&#xff0c;\u6240\u4ee5\u539f\u95ee\u9898\u8f6c\u4e3a\u00a0\u627e\u5230\u548c\u4e3a target \u7684\u6700\u957f\u8fde\u7eed\u5b50\u6570\u7ec4\u3002<\/p>\n<\/li>\n<li>\n<p>\u6700\u957f\u5b50\u6570\u7ec4\u5bf9\u5e94\u6700\u5c11\u64cd\u4f5c\u6570&#xff1a;\u56e0\u4e3a\u64cd\u4f5c\u6570 &#061; \u603b\u5143\u7d20\u4e2a\u6570 &#8211; \u4fdd\u7559\u7684\u5b50\u6570\u7ec4\u957f\u5ea6&#xff0c;\u4fdd\u7559\u5f97\u8d8a\u957f&#xff0c;\u79fb\u9664\u7684\u5143\u7d20\u8d8a\u5c11&#xff0c;\u64cd\u4f5c\u6570\u8d8a\u5c11\u3002\u56e0\u6b64\u6c42\u6700\u957f\u4fdd\u7559\u957f\u5ea6\u5373\u53ef\u5f97\u5230\u6700\u5c11\u64cd\u4f5c\u6570\u3002<\/p>\n<\/li>\n<li>\n<p>target &lt; 0\u00a0\u65f6&#xff08;\u5373 x &gt; \u603b\u548c&#xff09;&#xff0c;\u6c38\u8fdc\u65e0\u6cd5\u51cf\u5230 0&#xff0c;\u8fd4\u56de -1 \u6b63\u786e&#xff1b;sum1 &#061;&#061; x\u00a0\u65f6&#xff0c;\u4fdd\u7559\u5b50\u6570\u7ec4\u957f\u5ea6\u4e3a 0&#xff08;\u5373\u79fb\u9664\u5168\u90e8\u5143\u7d20&#xff09;&#xff0c;\u64cd\u4f5c\u6570\u4e3a n&#xff0c;\u4ee3\u7801\u76f4\u63a5\u8fd4\u56de n \u662f\u6b63\u786e\u7684\u6700\u4f18\u89e3\u3002<\/p>\n<\/li>\n<li>\n<p>\u5b58\u5728\u8d1f\u6570\u65f6\u6ed1\u52a8\u7a97\u53e3\u5931\u6548&#xff0c;\u56e0\u4e3a\u7a97\u53e3\u548c\u4e0d\u518d\u5355\u8c03&#xff08;\u589e\u52a0\u8d1f\u6570\u4f1a\u51cf\u5c11\u548c&#xff09;&#xff0c;\u6536\u7f29\u6761\u4ef6\u00a0sum2 &gt; target\u00a0\u4e0d\u518d\u80fd\u4fdd\u8bc1\u901a\u8fc7\u5de6\u79fb\u6765\u8c03\u6574&#xff0c;\u5fc5\u987b\u4f7f\u7528\u524d\u7f00\u548c &#043; \u54c8\u5e0c\u6216\u53cc\u7aef\u961f\u5217\u7b49\u66f4\u590d\u6742\u65b9\u6cd5&#xff0c;\u56e0\u6b64\u672c\u9898\u9650\u5b9a\u6b63\u6574\u6570\u662f\u5fc5\u8981\u7684\u3002<\/p>\n<\/li>\n<\/ul>\n<p>&#x1f50d;\u00a0\u5ef6\u4f38\u6311\u6218\u7b54\u6848<\/p>\n<ul>\n<li>\n<p>\u6311\u62181&#xff1a;\u5728\u6ed1\u52a8\u7a97\u53e3\u627e\u5230\u548c\u4e3a target \u7684\u6700\u957f\u5b50\u6570\u7ec4\u540e&#xff0c;\u8bb0\u5f55\u5176\u8d77\u59cb\u548c\u7ed3\u675f\u4e0b\u6807&#xff0c;\u5219\u79fb\u9664\u7684\u5de6\u7aef\u4e2a\u6570 &#061; 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