{"id":2452,"date":"2025-05-19T00:00:34","date_gmt":"2025-05-18T16:00:34","guid":{"rendered":"https:\/\/www.wunen.com\/index.php\/2025\/05\/19\/hluoj-1153-%e6%a0%bc%e6%96%97\/"},"modified":"2025-05-19T00:00:34","modified_gmt":"2025-05-18T16:00:34","slug":"hluoj-1153-%e6%a0%bc%e6%96%97","status":"publish","type":"post","link":"http:\/\/www.wunen.com\/index.php\/2025\/05\/19\/hluoj-1153-%e6%a0%bc%e6%96%97\/","title":{"rendered":"hluoj 1153  \u683c\u6597"},"content":{"rendered":"<div class=\"article_content clearfix\" id=\"article_content\">\n <link href=\"https:\/\/csdnimg.cn\/release\/blogv2\/dist\/mdeditor\/css\/editerView\/kdoc_html_views-1a98987dfd.css\" rel=\"stylesheet\"\/>\n <link href=\"https:\/\/csdnimg.cn\/release\/blogv2\/dist\/mdeditor\/css\/editerView\/ck_htmledit_views-704d5b9767.css\" rel=\"stylesheet\"\/>\n<div class=\"markdown_views prism-atom-one-light\" id=\"content_views\">\n  <svg style=\"display: none;\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\">\n   <path d=\"M5,0 0,2.5 5,5z\" id=\"raphael-marker-block\" stroke-linecap=\"round\" style=\"-webkit-tap-highlight-color: rgba(0, 0, 0, 0);\">\n   <\/path>\n  <\/svg><\/p>\n<p>\n   <strong><br \/>\n    \u95ee\u9898\u63cf\u8ff0<br \/>\n   <\/strong><br \/>\n   \uff1a\u683c\u6597\u4ff1\u4e50\u90e8\u662f\u683c\u6597\u7231\u597d\u8005\u7684\u4e00\u4e2a\u7ec4\u7ec7\uff0c\u5728\u8fd9\u91cc\uff0c\u683c\u6597\u8005\u4eec\u80fd\u901a\u8fc7\u4e0e\u522b\u7684\u6210\u5458\u8fdb\u884c\u683c\u6597\u6765\u91ca\u653e\u81ea\u5df1\u7684\u538b\u529b\u4e0e\u8f7b\u677e\u81ea\u5df1\u7684\u60c5\u7eea\u3002\u6700\u8fd1\u4ff1\u4e50\u90e8\u4e3e\u884c\u4e86\u4e00\u573a\u6bd4\u8d5b\uff0c\u8be5\u6bd4\u8d5b\u6709N\u4f4d\u9009\u624b\u53c2\u52a0\uff0c\u4ed6\u4eec\u5c06\u56f4\u6210\u4e00\u4e2a\u5706\u5708\uff0c\u6bcf\u4e00\u573a\u6bd4\u8d5b\u5708\u5185\u4efb\u610f\u7684\u4e24\u4f4d\u76f8\u90bb\u7684\u9009\u624b\u5747\u53ef\u8fdb\u884c\u76f8\u4e92\u7684\u683c\u6597\uff0c\u80dc\u5229\u8005\u5c06\u7559\u5728\u5708\u5185\u8fdb\u5165\u4e0b\u8f6e\u6bd4\u8d5b\u800c\u5931\u8d25\u8005\u5219\u76f4\u63a5\u88ab\u9001\u5f80\u533b\u9662\uff08\u6ca1\u6709\u5e73\u5c40\uff09\u3002\u6bd4\u8d5b\u662f\u6b8b\u9177\u7684\uff0c\u6700\u540e\u5708\u5185\u5c06\u53ea\u5269\u4e0b\u4e00\u4f4d\u9009\u624b\uff0c\u4ed6\u5c06\u662f\u603b\u51a0\u519b\u3002\u6211\u4eec\u505a\u4e2a\u5947\u602a\u7684\u5047\u8bbe\uff0c\u4e24\u4f4d\u9009\u624b\u8fdb\u884c\u683c\u6597\uff0c\u4ed6\u4eec\u6bd4\u8d5b\u7684\u7ed3\u679c\u603b\u662f\u786e\u5b9a\u7684\u3002\u867d\u7136\u4ff1\u4e50\u90e8\u7684\u6210\u5458\u4eec\u90fd\u5f88\u559c\u6b22\u683c\u6597\uff0c\u4f46\u662f\u4ed6\u4eec\u4ecd\u7136\u5f88\u5e0c\u671b\u80fd\u83b7\u5f97\u603b\u51a0\u519b\u3002\u73b0\u5728\u4f60\u901a\u8fc7\u7edf\u8ba1\u5df2\u7ecf\u77e5\u9053\u4e86\u4efb\u610f\u4e24\u4f4d\u9009\u624b\u683c\u6597\u7684\u7ed3\u679c\uff0c\u4f60\u6709\u8d23\u4efb\u544a\u8bc9\u6bcf\u4f4d\u9009\u624b\uff0c\u5982\u679c\u8d5b\u7a0b\u5408\u9002\u5b89\u6392\u7684\u8bdd\uff0c\u4ed6\u662f\u5426\u53ef\u80fd\u6210\u4e3a\u603b\u51a0\u519b\u3002<br \/>\n   <br \/>\n   <strong><br \/>\n    \u8f93\u5165\u63cf\u8ff0<br \/>\n   <\/strong><br \/>\n   \uff1a\u6570\u636e\u7b2c\u4e00\u884c\u662f\u4e00\u4e2a\u6574\u6570N\uff0c(1&lt;=N&lt;=40)\uff0c\u8868\u793a\u6bd4\u8d5b\u7684\u9009\u624b\u6570\u91cf\u3002\u63a5\u4e0b\u6765\u7ed9\u51fa\u4e00\u4e2aN\u2217N\u7684\u201c0\u201d\u3001\u201c1\u201d\u77e9\u9635A\uff08\u884c\u5185\u7528\u7a7a\u683c\u9694\u5f00\uff09\uff0c\u7b2c i \u884c\u7b2c j \u5217\u4e3a1 \u8868\u793a\u9009\u624b i \u80fd\u6218\u80dc\u9009\u624b j \uff0c\u5426\u5219\u9009\u624b j \u80fd\u6218\u80dc\u9009\u624b i \u3002<br \/>\n   <br \/>\n   \u4f60\u53ef\u4ee5\u5047\u5b9a Aij \u4e0e Aji\uff08i\u2260j\uff09\u5747\u662f\u4e0d\u540c\u7684\u4e14Aii=0\u3002\u6bd4\u8d5b\u5f00\u59cb\u65f6\u6240\u6709\u9009\u624b\u6309\u987a\u65f6\u9488\u65b9\u5411\u7531\u7f16\u53f71\u5230\u7f16\u53f7N\u7ad9\u6210\u4e00\u4e2a\u5708\uff0c\u521d\u59cb\u65f6\u7f16\u53f71\u4e0e\u7f16\u53f7N\u7684\u9009\u624b\u662f\u76f8\u90bb\u7684\u3002<br \/>\n   <br \/>\n   <strong><br \/>\n    \u8f93\u51fa\u63cf\u8ff0<br \/>\n   <\/strong><br \/>\n   \uff1a\u8f93\u51fa\u5305\u542bN\u884c\uff0c\u6bcf\u884c\u4e3a\u4e00\u4e2a\u6574\u6570\u201c0\u201d\u6216\u201c1\u201d\uff0c\u201c1\u201d\u8868\u793a\u7b2ci\u53f7\u9009\u624b\u6709\u53ef\u80fd\u6210\u4e3a\u51a0\u519b\uff0c\u201c0\u201d\u8868\u793a\u4e0d\u53ef\u80fd\u3002<br \/>\n   <br \/>\n   <strong><br \/>\n    \u8f93\u5165\u6837\u4f8b<br \/>\n   <\/strong><br \/>\n   \uff1a<br \/>\n   <br \/>\n   3<br \/>\n   <br \/>\n   0 1 1<br \/>\n   <br \/>\n   0 0 1<br \/>\n   <br \/>\n   0 0 0\n  <\/p>\n<p>\n   <strong><br \/>\n    \u8f93\u51fa\u6837\u4f8b<br \/>\n   <\/strong><br \/>\n   \uff1a<br \/>\n   <br \/>\n   1<br \/>\n   <br \/>\n   0<br \/>\n   <br \/>\n   0<br \/>\n   <br \/>\n   <strong><br \/>\n    \u9898\u89e3<br \/>\n   <\/strong><br \/>\n   \uff1a\u9996\u5148\u6709\u4e00\u4e2a\u73af\u5f62\u7684\u7ed3\u6784\uff0c\u64cd\u4f5c\u4e2d\u8981\u500d\u957f\u3002\u7531\u4e8e\u662f\u53ef\u4e0d\u53ef\u80fd\u83b7\u80dc\uff0c\u800c\u4e14\u662f\u76f8\u90bb\u4e24\u4e2a\u51b3\u6597\u7136\u540e\u5408\u5e76\uff0c\u6ee1\u8db3\u533a\u95f4\u6027\u8d28\uff0c\u8003\u8651\u533a\u95f4dp\u3002\u8bbe\u4e00\u4e2a f[ i ][ j ][ k ] \u8868\u793a\u5728\u533a\u95f4 i \u5230 j \u4e2d k \u53ef\u4e0d\u53ef\u80fd\u83b7\u80dc\u3002k \u5728\u8fd9\u4e2a\u533a\u95f4\u4e2d\u80fd\u83b7\u80dc \u662f\u4e0d\u662f\u5e94\u8be5\u5728 i \u548c j \u533a\u95f4\u4e2d \u627e\u5230\u4e00\u4e2a\u622a\u70b9\u5206\u6210\u4e24\u4e2a\u533a\u95f4\uff0c\u5728\u5de6\u533a\u95f4\u4e2d k \u80dc\u51fa\uff0c \u5728\u53f3\u533a\u95f4\u4e2d\u7684\u80dc\u51fa\u8005\u82e5 k \u80fd\u6218\u80dc\u5b83 \u5219 f[ i ][ j ][ k ] \u4e3a 1 \uff0c\u5426\u5219 f[ i ][ j ][ \u53f3\u533a\u95f4\u7684\u83b7\u80dc\u8005 ] \u4e3a 1\u3002 \u6240\u4ee5\u679a\u4e3e\u6709 \u679a\u4e3e\u533a\u95f4\u957f\u5ea6\uff0c\u533a\u95f4\u8d77\u70b9\uff0c \u533a\u95f4\u4e2d\u7684\u622a\u70b9 \uff0c \u5de6\u533a\u95f4\u7684\u83b7\u80dc\u8005\uff0c \u53f3\u533a\u95f4\u7684\u83b7\u80dc\u8005\u3002<br \/>\n   <br \/>\n   <strong><br \/>\n    code<br \/>\n   <\/strong><br \/>\n   \uff1a\n  <\/p>\n<pre><code class=\"prism language-c\"><span class=\"token macro property\">#<span class=\"token directive keyword\">include<\/span><span class=\"token string\">&lt;bits\/stdc++.h&gt;<\/span><\/span>\n using namespace std<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> n<span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> a<span class=\"token punctuation\">[<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> f<span class=\"token punctuation\">[<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span><span class=\"token number\">100<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token keyword\">int<\/span> <span class=\"token function\">main<\/span><span class=\"token punctuation\">(<\/span><span class=\"token punctuation\">)<\/span>\n<span class=\"token punctuation\">{<!-- --><\/span>\n  <span class=\"token function\">freopen<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"data.in\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">\"r\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token constant\">stdin<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n  <span class=\"token function\">freopen<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"data.out\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token string\">\"w\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token constant\">stdout<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n  \n  cin<span class=\"token operator\">&gt;&gt;<\/span>n<span class=\"token punctuation\">;<\/span>\n  <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;=<\/span> n<span class=\"token punctuation\">;<\/span>i <span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;=<\/span> n<span class=\"token punctuation\">;<\/span>j <span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span> \n    <span class=\"token function\">scanf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"%d\"<\/span><span class=\"token punctuation\">,<\/span><span class=\"token operator\">&amp;<\/span>a<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n    \n  <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span>  i <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;=<\/span> n <span class=\"token punctuation\">;<\/span>i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n    f<span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">,<\/span>f<span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">+<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token operator\">+<\/span>n<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>\n  \n  <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">=<\/span> <span class=\"token number\">2<\/span> <span class=\"token punctuation\">;<\/span> i <span class=\"token operator\">&lt;=<\/span> n <span class=\"token punctuation\">;<\/span> i<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;=<\/span> <span class=\"token number\">2<\/span><span class=\"token operator\">*<\/span>n<span class=\"token operator\">-<\/span>i<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   <span class=\"token punctuation\">{<!-- --><\/span>\n   \t<span class=\"token keyword\">int<\/span> st <span class=\"token operator\">=<\/span> j <span class=\"token punctuation\">,<\/span>ed <span class=\"token operator\">=<\/span> i<span class=\"token operator\">+<\/span>j<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">;<\/span>\n   \t<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> mid <span class=\"token operator\">=<\/span> st <span class=\"token punctuation\">;<\/span> mid <span class=\"token operator\">&lt;<\/span> ed<span class=\"token punctuation\">;<\/span> mid <span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   \t <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> l <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>l <span class=\"token operator\">&lt;=<\/span> n <span class=\"token punctuation\">;<\/span> l<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   \t <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>st<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>mid<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>l<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n   \t <span class=\"token punctuation\">{<!-- --><\/span>\n   \t  <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> r <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> r <span class=\"token operator\">&lt;=<\/span> n<span class=\"token punctuation\">;<\/span> r<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n\t   <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>mid<span class=\"token operator\">+<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>ed<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>r<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span>\n\t   <span class=\"token punctuation\">{<!-- --><\/span>\n\t    <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>a<span class=\"token punctuation\">[<\/span>l<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>r<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> f<span class=\"token punctuation\">[<\/span>st<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>ed<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>l<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>\n\t\t  <span class=\"token keyword\">else<\/span> f<span class=\"token punctuation\">[<\/span>st<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>ed<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>r<span class=\"token punctuation\">]<\/span> <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>\t\n\t   <span class=\"token punctuation\">}<\/span>   \t \t\n\t <span class=\"token punctuation\">}<\/span>\n   <span class=\"token punctuation\">}<\/span>\n  <span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> i <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>i <span class=\"token operator\">&lt;=<\/span> n <span class=\"token punctuation\">;<\/span>i <span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   <span class=\"token punctuation\">{<!-- --><\/span>\n   \tbool flag <span class=\"token operator\">=<\/span> <span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span>\n   \t<span class=\"token keyword\">for<\/span><span class=\"token punctuation\">(<\/span><span class=\"token keyword\">int<\/span> j <span class=\"token operator\">=<\/span><span class=\"token number\">1<\/span> <span class=\"token punctuation\">;<\/span> j <span class=\"token operator\">&lt;=<\/span> n <span class=\"token operator\">&amp;&amp;<\/span> flag<span class=\"token punctuation\">;<\/span> j<span class=\"token operator\">++<\/span><span class=\"token punctuation\">)<\/span>\n   \t <span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>f<span class=\"token punctuation\">[<\/span>j<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>j<span class=\"token operator\">+<\/span>n<span class=\"token operator\">-<\/span><span class=\"token number\">1<\/span><span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">[<\/span>i<span class=\"token punctuation\">]<\/span><span class=\"token punctuation\">)<\/span> <span class=\"token punctuation\">{<!-- --><\/span><span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"1\\n\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span> flag <span class=\"token operator\">=<\/span> <span class=\"token number\">0<\/span> <span class=\"token punctuation\">;<\/span><span class=\"token punctuation\">}<\/span>\n   \t<span class=\"token keyword\">if<\/span><span class=\"token punctuation\">(<\/span>flag<span class=\"token punctuation\">)<\/span> <span class=\"token function\">printf<\/span><span class=\"token punctuation\">(<\/span><span class=\"token string\">\"0\\n\"<\/span><span class=\"token punctuation\">)<\/span><span class=\"token punctuation\">;<\/span>\n   <span class=\"token punctuation\">}<\/span>\n  <span class=\"token keyword\">return<\/span> <span class=\"token number\">0<\/span><span class=\"token punctuation\">;<\/span>\n<span class=\"token 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