{"id":604,"date":"2017-04-30T22:14:00","date_gmt":"2017-04-30T14:14:00","guid":{"rendered":"http:\/\/kylelv.com\/?p=604"},"modified":"2020-03-04T14:08:10","modified_gmt":"2020-03-04T06:08:10","slug":"bzoj-1070-scoi2007%e4%bf%ae%e8%bd%a6-%e8%b4%b9%e7%94%a8%e6%b5%81","status":"publish","type":"post","link":"https:\/\/blog.kylelv.com\/?p=604","title":{"rendered":"bzoj 1070: [SCOI2007]\u4fee\u8f66 &#8212; \u8d39\u7528\u6d41"},"content":{"rendered":"\n<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_73 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Contents<\/p>\n<label for=\"ez-toc-cssicon-toggle-item-69fdeefdf2da4\" class=\"ez-toc-cssicon-toggle-label\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/label><input type=\"checkbox\"  id=\"ez-toc-cssicon-toggle-item-69fdeefdf2da4\"  aria-label=\"Toggle\" \/><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#1070_SCOI2007%E4%BF%AE%E8%BD%A6\" title=\"1070: [SCOI2007]\u4fee\u8f66\">1070: [SCOI2007]\u4fee\u8f66<\/a><ul class='ez-toc-list-level-3' ><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Description\" title=\"Description\">Description<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Input\" title=\"Input\">Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Output\" title=\"Output\">Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Sample_Input\" title=\"Sample Input\">Sample Input<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Sample_Output\" title=\"Sample Output\">Sample Output<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#HINT\" title=\"HINT\">HINT<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-8\" href=\"https:\/\/blog.kylelv.com\/?p=604\/#Source\" title=\"Source\">Source<\/a><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<h2 class=\"has-text-align-center wp-block-heading\"><span class=\"ez-toc-section\" id=\"1070_SCOI2007%E4%BF%AE%E8%BD%A6\"><\/span>1070: [SCOI2007]\u4fee\u8f66<span class=\"ez-toc-section-end\"><\/span><\/h2>\n\n\n\n<p class=\"has-text-align-center\">Time Limit:&nbsp;1 Sec&nbsp;&nbsp;Memory Limit:&nbsp;128 MB<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Description\"><\/span>Description<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3000\u3000\u540c\u4e00\u65f6\u523b\u6709N\u4f4d\u8f66\u4e3b\u5e26\u7740\u4ed6\u4eec\u7684\u7231\u8f66\u6765\u5230\u4e86\u6c7d\u8f66\u7ef4\u4fee\u4e2d\u5fc3\u3002\u7ef4\u4fee\u4e2d\u5fc3\u5171\u6709M\u4f4d\u6280\u672f\u4eba\u5458\uff0c\u4e0d\u540c\u7684\u6280\u672f\u4eba\u5458\u5bf9\u4e0d\u540c\u7684\u8f66\u8fdb\u884c\u7ef4\u4fee\u6240\u7528\u7684\u65f6\u95f4\u662f\u4e0d\u540c\u7684\u3002\u73b0\u5728\u9700\u8981\u5b89\u6392\u8fd9M\u4f4d\u6280\u672f\u4eba\u5458\u6240\u7ef4\u4fee\u7684\u8f66\u53ca\u987a\u5e8f\uff0c\u4f7f\u5f97\u987e\u5ba2\u5e73\u5747\u7b49\u5f85\u7684\u65f6\u95f4\u6700\u5c0f\u3002 \u8bf4\u660e\uff1a\u987e\u5ba2\u7684\u7b49\u5f85\u65f6\u95f4\u662f\u6307\u4ece\u4ed6\u628a\u8f66\u9001\u81f3\u7ef4\u4fee\u4e2d\u5fc3\u5230\u7ef4\u4fee\u5b8c\u6bd5\u6240\u7528\u7684\u65f6\u95f4\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Input\"><\/span>Input<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3000\u3000\u7b2c\u4e00\u884c\u6709\u4e24\u4e2am,n\uff0c\u8868\u793a\u6280\u672f\u4eba\u5458\u6570\u4e0e\u987e\u5ba2\u6570\u3002 \u63a5\u4e0b\u6765n\u884c\uff0c\u6bcf\u884cm\u4e2a\u6574\u6570\u3002\u7b2ci+1\u884c\u7b2cj\u4e2a\u6570\u8868\u793a\u7b2cj\u4f4d\u6280\u672f\u4eba\u5458\u7ef4\u4fee\u7b2ci\u8f86\u8f66\u9700\u8981\u7528\u7684\u65f6\u95f4T\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Output\"><\/span>Output<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3000\u3000\u6700\u5c0f\u5e73\u5747\u7b49\u5f85\u65f6\u95f4\uff0c\u7b54\u6848\u7cbe\u786e\u5230\u5c0f\u6570\u70b9\u540e2\u4f4d\u3002<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sample_Input\"><\/span>Sample Input<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>2 2<br>3 2<br>1 4<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Sample_Output\"><\/span>Sample Output<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>1.50<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"HINT\"><\/span>HINT<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u6570\u636e\u8303\u56f4: (2&lt;=M&lt;=9,1&lt;=N&lt;=60), (1&lt;=T&lt;=1000)<\/p>\n\n\n\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Source\"><\/span>Source<span class=\"ez-toc-section-end\"><\/span><\/h3>\n\n\n\n<p>\u3000\u3000\u628a\u6bcf\u4e2a\u5de5\u4eba\u62c6\u6210N\u4e2a\u70b9\u3002\u8bb0\u4e3aA[i,j]\u8868\u793a\u7b2ci\u4e2a\u5de5\u4eba\u4fee\u5012\u6570\u7b2cj\u8f86\u8f66\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6bcf\u4e2a\u8f66\u8ddf\u6240\u6709N*M\u4e2a\u5de5\u4eba\u62c6\u51fa\u7684\u70b9\u8fde\u8fb9\u3002\u6d41\u91cf\u4e3a1\uff0c\u8d39\u7528\u4e3atime[i,j]*k\u3002<\/p>\n\n\n\n<p>\u3000\u3000\u6e90\u548c\u6bcf\u8f86\u8f66\u8fde\u8fb9\uff0cN*M\u4e2a\u70b9\u548c\u6c47\u8fde\u8fb9\uff0c\u6d41\u91cf\u90fd\u4e3a1\uff0c\u8d39\u7528\u540c\u4e3a0\u3002<\/p>\n\n\n\n<pre class=\"wp-block-code\"><code>#include&lt;map>\n#include&lt;cmath>\n#include&lt;queue>\n#include&lt;cstdio>\n#include&lt;cstring>\n#include&lt;iostream>\n#include&lt;algorithm>\nusing namespace std;\n#define ll long long\n#define N 2010\n#define M 100010\n#define inf 100000007\nint T=1001;\nint fro&#91;M],to&#91;M],lj&#91;N],v&#91;M],w&#91;M],fa&#91;M],cnt=1;\nvoid add(int a,int b,int c,int d){fro&#91;++cnt]=lj&#91;a];to&#91;cnt]=b;fa&#91;cnt]=a;v&#91;cnt]=c;w&#91;cnt]=d;lj&#91;a]=cnt;}\nvoid ins(int a,int b,int c,int d){add(a,b,c,d);add(b,a,0,-d);}\nint dis&#91;N],q&#91;N],from&#91;N],ans;\nbool vs&#91;N];\nbool spfa()\n{\n    memset(dis,0x3f,sizeof(dis));\n    int h=0,t=1,x;\n    dis&#91;0]=q&#91;0]=0;vs&#91;0]=1;\n    while(h!=t)\n    {\n        x=q&#91;h++];\n        if(h==T) h=0;\n        for(int i=lj&#91;x];i;i=fro&#91;i])\n        {\n            if(v&#91;i]&amp;&amp;dis&#91;to&#91;i]]>dis&#91;x]+w&#91;i])\n            {\n                dis&#91;to&#91;i]]=dis&#91;x]+w&#91;i];\n                from&#91;to&#91;i]]=i;\n                if(!vs&#91;to&#91;i]])\n                {\n                    vs&#91;to&#91;i]]=1;\n                    q&#91;t++]=to&#91;i];if(t==T) t=0;\n                }\n            }\n        }\n        vs&#91;x]=0;\n    }\n    return dis&#91;T]&lt;inf;\n}\nvoid qaz()\n{\n    int tmp=inf;\n    for(int i=from&#91;T];i;i=from&#91;fa&#91;i]]) tmp=min(tmp,v&#91;i]);\n    for(int i=from&#91;T];i;i=from&#91;fa&#91;i]])\n    {\n        v&#91;i]-=tmp;v&#91;i^1]+=tmp;\n        ans+=w&#91;i]*tmp;\n    }\n}\nint n,m,t&#91;66]&#91;12];\nint main()\n{\n    scanf(\"%d%d\",&amp;m,&amp;n);\n    for(int i=1;i&lt;=n;i++)\n        for(int j=1;j&lt;=m;j++) scanf(\"%d\",&amp;t&#91;i]&#91;j]);\n    for(int i=1;i&lt;=m*n;i++) ins(0,i,1,0);\n    for(int i=m*n+1;i&lt;=m*n+n;i++) ins(i,T,1,0);\n    for(int i=1;i&lt;=m;i++)\n        for(int j=1;j&lt;=n;j++)\n            for(int k=1;k&lt;=n;k++)\n                ins((i-1)*n+j,n*m+k,1,t&#91;k]&#91;i]*j);\n    while(spfa()) qaz();\n    printf(\"%.2lf\\n\",ans*1.0\/n);\n    return 0;\n}<\/code><\/pre>\n","protected":false},"excerpt":{"rendered":"<p>1070: [SCOI2007]\u4fee\u8f66 Time Limit:&nbsp;1 Sec&nbsp;&nbsp;Me [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[43,64],"class_list":["post-604","post","type-post","status-publish","format-standard","hentry","category-bzoj","tag-43","tag-64"],"_links":{"self":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/604","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=604"}],"version-history":[{"count":1,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/604\/revisions"}],"predecessor-version":[{"id":605,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=\/wp\/v2\/posts\/604\/revisions\/605"}],"wp:attachment":[{"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=604"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=604"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.kylelv.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=604"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}