{"id":359,"date":"2013-03-22T19:02:00","date_gmt":"2013-03-22T11:02:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/263"},"modified":"2013-03-22T19:02:00","modified_gmt":"2013-03-22T11:02:00","slug":"bzoj_1084_scoi2005_largest_sub-matrix_-_matrix_dp_long","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=359","title":{"rendered":"BZOJ 1084([SCOI2005]\u6700\u5927\u5b50\u77e9\u9635-\u957f\u77e9\u9635Dp)"},"content":{"rendered":"<p><center style=\"font-family:arial,verdana,helvetica,sans-serif; font-size:14px\"><\/p>\n<h2 style=\"color:blue\">1084: [SCOI2005]\u6700\u5927\u5b50\u77e9\u9635<\/h2>\n<p><span class=\"green\">Time Limit:&nbsp;<\/span>10 Sec&nbsp;&nbsp;<span class=\"green\">Memory Limit:&nbsp;<\/span>162 MB<br \/>\n<span class=\"green\">Submit:&nbsp;<\/span>586&nbsp;&nbsp;<span class=\"green\">Solved:&nbsp;<\/span>275<br \/>\n[<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/submitpage.php?id=1084\" style=\"color:blue; text-decoration:initial\">Submit<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/problemstatus.php?id=1084\" style=\"color:blue; text-decoration:initial\">Status<\/a>][<a href=\"http:\/\/www.lydsy.com\/JudgeOnline\/bbs.php?id=1084\" style=\"color:blue; text-decoration:initial\">Discuss<\/a>]<\/center><\/p>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Description<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u8fd9\u91cc\u6709\u4e00\u4e2an*m\u7684\u77e9\u9635\uff0c\u8bf7\u4f60\u9009\u51fa\u5176\u4e2dk\u4e2a\u5b50\u77e9\u9635\uff0c\u4f7f\u5f97\u8fd9\u4e2ak\u4e2a\u5b50\u77e9\u9635\u5206&#20540;\u4e4b\u548c\u6700\u5927\u3002\u6ce8\u610f\uff1a\u9009\u51fa\u7684k\u4e2a\u5b50\u77e9\u9635\u4e0d\u80fd\u76f8\u4e92\u91cd\u53e0\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u7b2c\u4e00\u884c\u4e3an,m,k\uff081\u2264n\u2264100,1\u2264m\u22642,1\u2264k\u226410\uff09\uff0c\u63a5\u4e0b\u6765n\u884c\u63cf\u8ff0\u77e9\u9635\u6bcf\u884c\u4e2d\u7684\u6bcf\u4e2a\u5143\u7d20\u7684\u5206&#20540;(\u6bcf\u4e2a\u5143\u7d20\u7684\u5206&#20540;\u7684\u7edd\u5bf9&#20540;\u4e0d\u8d85\u8fc732767)\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n\u53ea\u6709\u4e00\u884c\u4e3ak\u4e2a\u5b50\u77e9\u9635\u5206&#20540;\u4e4b\u548c\u6700\u5927\u4e3a\u591a\u5c11\u3002<\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Input<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">3 2 2<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n1 -3<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n2 3<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n-2 3<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">Sample Output<\/h2>\n<div class=\"content\" style=\"font-family:arial,verdana,helvetica,sans-serif; height:auto; background-color:rgb(228,240,248); margin:0px; padding:0px 20px; font-size:14px\">\n<span class=\"sampledata\" style=\"font-family:monospace; white-space:pre; background-color:rgb(141,184,255); font-size:18px\">9<br style=\"font-family:arial,verdana,helvetica,sans-serif!important\" \/><br \/>\n<\/span><\/div>\n<h2 style=\"font-family:arial,verdana,helvetica,sans-serif; color:blue\">\n<\/h2>\n<div><span style=\"font-size:14px\">\u7531\u4e8em\u4e0d\u8d85\u8fc72<\/span><\/div>\n<div><span style=\"font-size:14px\">\u53ef\u4ee5\u66b4\u529bDp<\/span><\/div>\n<div><span style=\"font-size:14px\">\u5206\u4e3am=1\u548cm=2\u79cd\u60c5\u51b5<\/span><\/div>\n<div><span style=\"font-size:14px\">m=1\u5c31\u4e0d\u7528\u8bf4\u4e86\uff0c<\/span><\/div>\n<div><span style=\"font-size:14px\">F[i][j][k]\u8868\u793a\u7b2c1\u884c\u5230i\u7b2c\u4e8c\u884c\u5230j\u6240\u80fd\u53d6\u5230\u7684\u6700\u5c0f&#20540;<\/span><\/div>\n<div><span style=\"font-size:14px\"><br \/>\n<\/span><\/div>\n<div><span style=\"font-size:14px\"><\/span><\/p>\n<pre name=\"code\" class=\"cpp\">#include&lt;cstdio&gt;\n#include&lt;cstring&gt;\n#include&lt;iostream&gt;\n#include&lt;functional&gt;\n#include&lt;algorithm&gt;\n#include&lt;cstdlib&gt;\nusing namespace std;\n#define MAXN (100+10)\n#define MAXM (2+1)\n#define MAXK (10+1)\nint f[MAXN][MAXK],F[MAXN][MAXN][MAXK],n,m,k;\nint a[MAXN][MAXN],sum[MAXN][MAXN];\nint main()\n{\n\tscanf(&quot;%d%d%d&quot;,&amp;n,&amp;m,&amp;k);\n\tsum[0][1]=sum[0][2]=0;\n\tfor (int i=1;i&lt;=n;i++) for (int j=1;j&lt;=m;j++) scanf(&quot;%d&quot;,&amp;a[i][j]),sum[i][j]=sum[i-1][j]+a[i][j];\n\tif (m==1)\n\t{\n\t\tmemset(f,0,sizeof(f));\n\t\tfor (int i=1;i&lt;=n;i++)\n\t\t{\n\t\t\tf[i][0]=0;\n\t\t\tfor (int l=1;l&lt;=k;l++)\n\t\t\t{\n\t\t\t\tf[i][l]=f[i-1][l];\n\t\t\t\tfor (int j=0;j&lt;i;j++)\n\t\t\t\t{\n\t\t\t\t\tf[i][l]=max(f[i][l],f[j][l-1]+sum[i][1]-sum[j][1]);\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\t\tcout&lt;&lt;f[n][k]&lt;&lt;endl;\n\t}\n\telse\n\t{\n\t\tmemset(F,0,sizeof(F));\n\t\tfor (int i=1;i&lt;=n;i++)\n\t\t{\n\t\t\tfor (int j=1;j&lt;=n;j++)\n\t\t\t{\n\t\t\t\tF[i][j][0]=0;\n\t\t\t\tfor (int l=1;l&lt;=k;l++)\n\t\t\t\t{\n\t\t\t\t\tF[i][j][l]=max(F[i-1][j][l],F[i][j-1][l]);\n\t\t\t\t\tfor (int i2=0;i2&lt;i;i2++) F[i][j][l]=max(F[i][j][l],F[i2][j][l-1]+sum[i][1]-sum[i2][1]);\n\t\t\t\t\tfor (int j2=0;j2&lt;j;j2++) F[i][j][l]=max(F[i][j][l],F[i][j2][l-1]+sum[j][2]-sum[j2][2]);\n\t\t\t\t\tif (i==j)\n\t\t\t\t\t\tfor (int j2=0;j2&lt;i;j2++)\n\t\t\t\t\t\t{\n\t\t\t\t\t\t\tF[i][i][l]=max(F[i][i][l],F[j2][j2][l-1]+sum[i][1]-sum[j2][1]+sum[j][2]-sum[j2][2]);\n\t\t\t\t\t\t}\n\t\t\t\t}\n\t\t\t}\n\t\t}\n\n\t\tcout&lt;&lt;F[n][n][k]&lt;&lt;endl;\n\n\t}\n\n\n\treturn 0;\n}<\/pre>\n<\/div>\n<div><span style=\"font-size:14px\"><br \/>\n<\/span><\/div>\n<div>\n<\/div>\n<div>\n<\/div>\n<div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>1084: [SCOI2005]\u6700\u5927\u5b50\u77e9\u9635 Time Limit:&nbsp;10 Sec&nbsp;&#038;nbs [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_coblocks_attr":"","_coblocks_dimensions":"","_coblocks_responsive_height":"","_coblocks_accordion_ie_support":"","footnotes":""},"categories":[3],"tags":[30,104],"class_list":["post-359","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-dp","tag-matrix"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.5 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>BZOJ 1084([SCOI2005]\u6700\u5927\u5b50\u77e9\u9635-\u957f\u77e9\u9635Dp) - nike0good<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/nike0good.com\/?p=359\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" 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