{"id":72996,"date":"2026-02-06T21:33:26","date_gmt":"2026-02-06T13:33:26","guid":{"rendered":"https:\/\/www.wsisp.com\/helps\/72996.html"},"modified":"2026-02-06T21:33:26","modified_gmt":"2026-02-06T13:33:26","slug":"c%e8%af%ad%e8%a8%80%e6%95%b0%e6%8d%ae%e7%bb%93%e6%9e%84-%e4%ba%8c%e5%8f%89%e6%a0%91%e5%92%8c%e5%a0%86","status":"publish","type":"post","link":"https:\/\/www.wsisp.com\/helps\/72996.html","title":{"rendered":"C\u8bed\u8a00\u6570\u636e\u7ed3\u6784--\u4e8c\u53c9\u6811\u548c\u5806"},"content":{"rendered":"<h2>\u4e00\u3001\u6811<\/h2>\n<h3>1.1\u4ec0\u4e48\u662f\u6811&#xff1f;<\/h3>\n<p>\u6811\u662f\u4e00\u79cd\u975e\u7ebf\u6027\u7684\u6570\u636e\u7ed3\u6784&#xff0c;\u5b83\u6709n\u4e2a\u6709\u9650\u7ed3\u70b9\u7ec4\u6210\u7684\u4e00\u4e2a\u5177\u6709\u5c42\u6b21\u5173\u7cfb\u7684\u96c6\u5408&#xff0c;\u5f62\u72b6\u4e0a\u53ef\u4ee5\u6bd4\u4f5c\u4e00\u9897\u5012\u6302\u7684\u6811&#xff0c;\u6240\u4ee5\u6211\u4eec\u79f0\u4f5c\u6811&#xff0c;\u6811\u7684\u7279\u70b9\u662f\u6839\u5728\u4e0a&#xff0c;\u53f6\u5728\u4e0b\u3002<\/p>\n<ul>\n<li>\u6709\u4e00\u4e2a\u7279\u6b8a\u7684\u7ed3\u70b9&#xff0c;\u79f0\u4e3a\u6839\u7ed3\u70b9&#xff0c;\u6839\u7ed3\u70b9\u6ca1\u6709\u524d\u9a71\u8282\u70b9<\/li>\n<li>\u9664\u4e86\u6839\u7ed3\u70b9\u4e4b\u5916&#xff0c;\u5176\u4f59\u7ed3\u70b9\u88ab\u5206\u6210M&#xff08;M&gt;0)\u4e2a\u4e92\u4e0d\u76f8\u4ea4\u7684\u96c6\u5408T1&#xff0c;T2&#xff0c;\u2026\u2026&#xff0c;Tm&#xff0c;\u5176\u4e2d\u6bcf\u4e00\u4e2a\u96c6\u5408\u53c8\u662f\u4e00\u68f5\u7ed3\u6784\u4e0e\u6811\u7c7b\u4f3c\u7684\u5b50\u6811\u3002\u6bcf\u68f5\u5b57\u6570\u7684\u6839\u7ed3\u70b9\u6709\u4e14\u53ea\u6709\u4e00\u4e2a\u524d\u9a71&#xff08;\u7236\u8282\u70b9&#xff09;&#xff0c;\u53ef\u4ee5\u6709\u5927\u4e8e\u7b49\u4e8e0\u4e2a\u540e\u7eed&#xff08;\u5b50\u7ed3\u70b9&#xff09;<\/li>\n<li>\u6811\u662f\u9012\u5f52\u5b9a\u4e49\u7684<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133323-6985eda3c269a.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><br \/>\n\u6ce8\u610f&#xff1a;\u4efb\u610f\u5b50\u6811\u4e4b\u95f4\u4e0d\u53ef\u6709\u4ea4\u96c6\u5426\u5219\u5c31\u4e0d\u662f\u6811<\/li>\n<\/ul>\n<h3>1.2\u6811\u7684\u76f8\u5173\u6982\u5ff5<\/h3>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133323-6985eda3d8d67.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<ul>\n<li>\u7ed3\u70b9\u7684\u5ea6&#xff1a;\u4e00\u4e2a\u7ed3\u70b9\u542b\u6709\u7684\u5b50\u6811\u7684\u4e2a\u6570\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u5ea6&#xff1b; \u5982\u4e0a\u56fe&#xff1a;A\u7684\u5ea6\u4e3a6<\/li>\n<li>\u53f6\u7ed3\u70b9\u6216\u7ec8\u7aef\u7ed3\u70b9&#xff1a;\u5ea6\u4e3a0\u7684\u7ed3\u70b9\u79f0\u4e3a\u53f6\u7ed3\u70b9&#xff1b; \u5982\u4e0a\u56fe&#xff1a;B\u3001C\u3001H\u3001I\u2026\u7b49\u7ed3\u70b9\u4e3a\u53f6\u7ed3\u70b9<\/li>\n<li>\u975e\u7ec8\u7aef\u7ed3\u70b9\u6216\u5206\u652f\u7ed3\u70b9&#xff1a;\u5ea6\u4e0d\u4e3a0\u7684\u7ed3\u70b9&#xff1b; \u5982\u4e0a\u56fe&#xff1a;D\u3001E\u3001F\u3001G\u2026\u7b49\u7ed3\u70b9\u4e3a\u5206\u652f\u7ed3\u70b9<\/li>\n<li>\u53cc\u4eb2\u7ed3\u70b9\u6216\u7236\u7ed3\u70b9&#xff1a;\u82e5\u4e00\u4e2a\u7ed3\u70b9\u542b\u6709\u5b50\u7ed3\u70b9&#xff0c;\u5219\u8fd9\u4e2a\u7ed3\u70b9\u79f0\u4e3a\u5176\u5b50\u7ed3\u70b9\u7684\u7236\u7ed3\u70b9&#xff1b; \u5982\u4e0a\u56fe&#xff1a;A\u662fB\u7684\u7236\u7ed3\u70b9<\/li>\n<li>\u5b69\u5b50\u7ed3\u70b9\u6216\u5b50\u7ed3\u70b9&#xff1a;\u4e00\u4e2a\u7ed3\u70b9\u542b\u6709\u7684\u5b50\u6811\u7684\u6839\u7ed3\u70b9\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u5b50\u7ed3\u70b9&#xff1b; \u5982\u4e0a\u56fe&#xff1a;B\u662fA\u7684\u5b69\u5b50\u7ed3\u70b9<\/li>\n<li>\u5144\u5f1f\u7ed3\u70b9&#xff1a;\u5177\u6709\u76f8\u540c\u7236\u7ed3\u70b9\u7684\u7ed3\u70b9\u4e92\u79f0\u4e3a\u5144\u5f1f\u7ed3\u70b9&#xff1b; \u5982\u4e0a\u56fe&#xff1a;B\u3001C\u662f\u5144\u5f1f\u7ed3\u70b9<\/li>\n<li>\u6811\u7684\u5ea6&#xff1a;\u4e00\u68f5\u6811\u4e2d&#xff0c;\u6700\u5927\u7684\u7ed3\u70b9\u7684\u5ea6\u79f0\u4e3a\u6811\u7684\u5ea6&#xff1b; \u5982\u4e0a\u56fe&#xff1a;\u6811\u7684\u5ea6\u4e3a6<\/li>\n<li>\u7ed3\u70b9\u7684\u5c42\u6b21&#xff1a;\u4ece\u6839\u5f00\u59cb\u5b9a\u4e49\u8d77&#xff0c;\u6839\u4e3a\u7b2c1\u5c42&#xff0c;\u6839\u7684\u5b50\u7ed3\u70b9\u4e3a\u7b2c2\u5c42&#xff0c;\u4ee5\u6b64\u7c7b\u63a8<\/li>\n<li>\u6811\u7684\u9ad8\u5ea6\u6216\u6df1\u5ea6&#xff1a;\u6811\u4e2d\u7ed3\u70b9\u7684\u6700\u5927\u5c42\u6b21&#xff1b; \u5982\u4e0a\u56fe&#xff1a;\u6811\u7684\u9ad8\u5ea6\u4e3a4<\/li>\n<li>\u5802\u5144\u5f1f\u7ed3\u70b9&#xff1a;\u53cc\u4eb2\u5728\u540c\u4e00\u5c42\u7684\u7ed3\u70b9\u4e92\u4e3a\u5802\u5144\u5f1f&#xff1b;\u5982\u4e0a\u56fe&#xff1a;H\u3001I\u4e92\u4e3a\u5144\u5f1f\u7ed3\u70b9<\/li>\n<li>\u7ed3\u70b9\u7684\u7956\u5148&#xff1a;\u4ece\u6839\u5230\u8be5\u7ed3\u70b9\u6240\u7ecf\u5206\u652f\u4e0a\u7684\u6240\u6709\u7ed3\u70b9&#xff1b;\u5982\u4e0a\u56fe&#xff1a;A\u662f\u6240\u6709\u7ed3\u70b9\u7684\u7956\u5148<\/li>\n<li>\u5b50\u5b59&#xff1a;\u4ee5\u67d0\u7ed3\u70b9\u4e3a\u6839\u7684\u5b50\u6811\u4e2d\u4efb\u4e00\u7ed3\u70b9\u90fd\u79f0\u4e3a\u8be5\u7ed3\u70b9\u7684\u5b50\u5b59\u3002\u5982\u4e0a\u56fe&#xff1a;\u6240\u6709\u7ed3\u70b9\u90fd\u662fA\u7684\u5b50\u5b59<\/li>\n<li>\u68ee\u6797&#xff1a;\u7531m&#xff08;m&gt;0&#xff09;\u68f5\u4e92\u4e0d\u76f8\u4ea4\u7684\u6811\u7684\u96c6\u5408\u79f0\u4e3a\u68ee\u6797<\/li>\n<\/ul>\n<h3>1.3\u6811\u7684\u8868\u793a<\/h3>\n<p>\u6811\u7684\u7ed3\u6784\u76f8\u5bf9\u7ebf\u6027\u8868\u6bd4\u8f83\u590d\u6742&#xff0c;\u8981\u5b58\u50a8\u8868\u793a\u8d77\u6765\u6bd4\u8f83\u9ebb\u70e6&#xff0c;\u65e2\u8981\u4fdd\u5b58\u503c\u4e5f\u8981\u4fdd\u5b58\u7ed3\u70b9\u548c\u7ed3\u70b9\u4e4b\u95f4\u7684\u5173\u7cfb&#xff0c;\u5b9e\u9645\u64cd\u4f5c\u4e2d\u6811\u6709\u5f88\u591a\u79cd\u8868\u793a\u65b9\u6cd5&#xff1a;\u5982\u53cc\u4eb2\u8868\u793a\u6cd5&#xff0c;\u5b69\u5b50\u8868\u793a\u6cd5&#xff0c;\u5b69\u5b50\u53cc\u4eb2\u8868\u793a\u6cd5\u4ee5\u53ca\u5b69\u5b50\u5144\u5f1f\u8868\u793a\u6cd5\u7b49\u7b49\u3002\u8fd9\u91cc\u6211\u4eec\u5c31\u7b80\u5355\u4e86\u89e3\u5176\u4e2d\u4e00\u79cd\u6700\u5e38\u7528\u7684&#xff1a;\u5de6\u5b69\u5b50&#xff0c;\u53f3\u5144\u5f1f\u8868\u793a\u6cd5\u3002<\/p>\n<p><span class=\"token keyword\">typedef<\/span> <span class=\"token keyword\">int<\/span> DataType<span class=\"token punctuation\">;<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span><br \/>\n<span class=\"token punctuation\">{<\/span><br \/>\n<span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span><span class=\"token operator\">*<\/span> firstChild1<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7b2c\u4e00\u4e2a\u5b69\u5b50\u7ed3\u70b9<\/span><br \/>\n <span class=\"token keyword\">struct<\/span> <span class=\"token class-name\">Node<\/span><span class=\"token operator\">*<\/span> pNextBrother<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u6307\u5411\u5176\u4e0b\u4e00\u4e2a\u5144\u5f1f\u7ed3\u70b9<\/span><br \/>\n DataType data<span class=\"token punctuation\">;<\/span> <span class=\"token comment\">\/\/ \u7ed3\u70b9\u4e2d\u7684\u6570\u636e\u57df<\/span><br \/>\n<span class=\"token punctuation\">}<\/span><span class=\"token punctuation\">;<\/span><\/p>\n<p>\u76f4\u89c2\u5c55\u793a&#xff1a;<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133323-6985eda3eabfd.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<h3>1.4\u6811\u5728\u5b9e\u9645\u4e2d\u7684\u8fd0\u7528<\/h3>\n<p>\u7535\u8111\u7684\u6587\u4ef6\u7ba1\u7406\u5668&#xff0c;C\u76d8\u6216D\u76d8\u53ef\u4ee5\u770b\u4f5c\u4e00\u4e2a\u6839\u7ed3\u70b9&#xff0c;\u5b83\u7684\u4e0b\u4e00\u7ea7\u6587\u4ef6\u5939\u4f5c\u4e3a\u5b83\u7684\u5b50\u7ed3\u70b9&#xff0c;\u8fd9\u4e9b\u5b50\u6587\u4ef6\u5939\u53c8\u6709\u4e0b\u4e00\u7ea7\u5b50\u6587\u4ef6\u5939\u4f5c\u4e3a\u5b83\u4eec\u7684\u5b50\u7ed3\u70b9&#xff0c;\u6240\u4ee5\u8fd9\u4e9b\u5b50\u6587\u4ef6\u5939\u540c\u65f6\u4e5f\u626e\u6f14\u7236\u8282\u70b9\u7684\u89d2\u8272\u3002<\/p>\n<hr \/>\n<h2>\u4e8c\u3001\u4e8c\u53c9\u6811<\/h2>\n<h3>2.1\u4e8c\u53c9\u6811\u7684\u6982\u5ff5<\/h3>\n<p>\u4e8c\u53c9\u6811\u662f\u6811\u7684\u5b50\u96c6&#xff0c;\u4e00\u68f5\u4e8c\u53c9\u6811\u662f\u4e00\u4e2a\u5305\u542b\u6709\u9650\u4e2a\u7ed3\u70b9\u7684\u96c6\u5408&#xff0c;\u6216\u8005\u8bf4\u662f\u7ed3\u70b9\u7684\u4e00\u4e2a\u6709\u9650\u96c6\u5408&#xff0c;\u8be5\u96c6\u5408\u7684\u7279\u70b9&#xff1a;<\/p>\n<li>\u53ef\u80fd\u4e3a\u7a7a<\/li>\n<li>\u7531\u4e00\u4e2a\u6839\u7ed3\u70b9\u52a0\u4e0a\u4e24\u68f5\u522b\u79f0\u4e3a\u5de6\u5b50\u6811\u548c\u53f3\u5b50\u6811\u7684\u4e8c\u53c9\u6811\u7ec4\u6210<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133324-6985eda405aa3.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/li>\n<li>\u4e8c\u53c9\u6811\u4e0d\u5b58\u5728\u5ea6\u5927\u4e8e2\u7684\u7ed3\u70b9<\/li>\n<li>\u4e8c\u53c9\u6811\u7684\u5b50\u6811\u7531\u5de6\u53f3\u4e4b\u5206&#xff0c;\u6b21\u5e8f\u4e0d\u53ef\u98a0\u5012&#xff0c;\u56e0\u6b64\u4e8c\u53c9\u6811\u662f\u6709\u5e8f\u6811<br \/>\n\u6ce8\u610f&#xff1a;\u5bf9\u4e8e\u4efb\u610f\u7684\u4e8c\u53c9\u6811\u90fd\u662f\u7531\u4ee5\u4e0b\u51e0\u79cd\u60c5\u51b5\u590d\u5408\u7ec4\u6210<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133324-6985eda4147f2.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><br \/>\n\u73b0\u5b9e\u4e2d\u7684\u4e8c\u53c9\u6811&#xff1a;<br \/>\n<img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133324-6985eda422b07.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/li>\n<h3>2.2\u7279\u6b8a\u7684\u4e8c\u53c9\u6811<\/h3>\n<h4>2.2.1\u6ee1\u4e8c\u53c9\u6811<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133325-6985eda5074aa.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" \/><\/p>\n<p>\u5982\u56fe&#xff0c;\u4e00\u4e2a\u4e8c\u53c9\u6811&#xff0c;\u5982\u679c\u6bcf\u4e00\u4e2a\u5c42\u7684\u7ed3\u70b9\u6570\u90fd\u8fbe\u5230\u6700\u5927\u503c&#xff0c;\u5219\u8fd9\u4e2a\u4e8c\u53c9\u6811\u5c31\u662f\u6ee1\u4e8c\u53c9\u6811\u3002\u4e5f\u5c31\u662f\u8bf4&#xff0c;\u5982\u679c\u4e00\u4e2a\u4e8c\u53c9\u6811\u7684\u5c42\u6570\u4e3aK&#xff0c;\u4e14\u7ed3\u70b9\u603b\u6570\u662f<span class=\"katex--display\"><span class=\"katex-display\"><span class=\"katex\"><span class=\"katex-mathml\">2k\u221212^k-1<\/span><span class=\"katex-html\"><span class=\"base\"><span class=\"strut\" style=\"height: 0.9824em;vertical-align: -0.0833em\"><\/span><span class=\"mord\"><span class=\"mord\">2<\/span><span class=\"msupsub\"><span class=\"vlist-t\"><span class=\"vlist-r\"><span class=\"vlist\" style=\"height: 0.8991em\"><span class=\"\" style=\"top: -3.113em;margin-right: 0.05em\"><span class=\"pstrut\" style=\"height: 2.7em\"><\/span><span class=\"sizing reset-size6 size3 mtight\"><span class=\"mord mathnormal mtight\" style=\"margin-right: 0.0315em\">k<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><span class=\"mbin\">\u2212<\/span><span class=\"mspace\" style=\"margin-right: 0.2222em\"><\/span><\/span><span class=\"base\"><span class=\"strut\" style=\"height: 0.6444em\"><\/span><span class=\"mord\">1<\/span><\/span><\/span><\/span><\/span><\/span>&#xff0c;\u5219\u5b83\u5c31\u662f\u6ee1\u4e8c\u53c9\u6811\u3002<\/p>\n<h4>2.2.2\u5b8c\u5168\u4e8c\u53c9\u6811<\/h4>\n<p><img decoding=\"async\" src=\"https:\/\/www.wsisp.com\/helps\/wp-content\/uploads\/2026\/02\/20260206133325-6985eda51830c.png\" alt=\"\u5728\u8fd9\u91cc\u63d2\u5165\u56fe\u7247\u63cf\u8ff0\" 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