{"id":386,"date":"2013-04-20T11:01:00","date_gmt":"2013-04-20T03:01:00","guid":{"rendered":"http:\/\/nike0good.jp1.rpvhost.net\/290"},"modified":"2013-04-20T11:01:00","modified_gmt":"2013-04-20T03:01:00","slug":"bzoj_3132_god_made_the_theme_of_seven_minutes_-_tree_array_summation_2_d_inverse_summation_array","status":"publish","type":"post","link":"https:\/\/nike0good.com\/?p=386","title":{"rendered":"BZOJ 3132(\u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f-\u6811\u72b6\u6570\u7ec4\u6c42\u548c+2D\u9006\u6c42\u548c\u6570\u7ec4)"},"content":{"rendered":"

<\/p>\n

3132: \u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f<\/h2>\n

Time Limit: <\/span>20 Sec  Memory Limit: <\/span>128 MB
\nSubmit: <\/span>46  Solved: <\/span>18
\n[Submit<\/a>][Status<\/a>][Discuss<\/a>]<\/center><\/p>\n

Description<\/h2>\n
\n

\u201c\u7b2c\u4e00\u5206\u949f\uff0cX\u8bf4\uff0c\u8981\u6709\u77e9\u9635\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u4e00\u4e2a\u91cc\u9762\u5199\u6ee1\u4e860\u7684n\u00d7m\u77e9\u9635\u3002<\/span><\/p>\n

\u7b2c\u4e8c\u5206\u949f\uff0cL\u8bf4\uff0c\u8981\u80fd\u4fee\u6539\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u5c06\u5de6\u4e0a\u89d2\u4e3a(a,b)\uff0c\u53f3\u4e0b\u89d2\u4e3a(c,d)\u7684\u4e00\u4e2a\u77e9\u5f62\u533a\u57df\u5185\u7684\u5168\u90e8\u6570\u5b57\u52a0\u4e0a\u4e00\u4e2a值\u7684\u64cd\u4f5c\u3002<\/span><\/p>\n

\u7b2c\u4e09\u5206\u949f\uff0ck\u8bf4\uff0c\u8981\u80fd\u67e5\u8be2\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u6c42\u7ed9\u5b9a\u77e9\u5f62\u533a\u57df\u5185\u7684\u5168\u90e8\u6570\u5b57\u548c\u7684\u64cd\u4f5c\u3002<\/span><\/p>\n

\u7b2c\u56db\u5206\u949f\uff0c\u5f69\u8679\u55b5\u8bf4\uff0c\u8981\u57fa\u4e8e\u4e8c\u53c9\u6811\u7684\u6570\u636e\u7ed3\u6784\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u6570\u636e\u8303\u56f4\u3002<\/span><\/p>\n

\u7b2c\u4e94\u5206\u949f\uff0c\u548c\u96ea\u8bf4\uff0c\u8981\u6709\u8010\u5fc3\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u65f6\u95f4\u9650\u5236\u3002<\/span><\/p>\n

\u7b2c\u516d\u5206\u949f\uff0c\u5403\u94a2\u7434\u7537\u8bf4\uff0c\u8981\u7701\u70b9\u4e8b\uff0c\u4e8e\u662f\u4fbf\u6709\u4e86\u4fdd\u8bc1\u8fd0\u7b97\u8fc7\u7a0b\u4e2d\u53ca\u6700\u7ec8\u7ed3\u679c\u5747\u4e0d\u8d85\u8fc732\u4f4d\u6709\u7b26\u53f7\u6574\u6570\u7c7b\u578b\u7684\u8868\u793a\u8303\u56f4\u7684\u9650\u5236\u3002<\/span><\/p>\n

\u7b2c\u4e03\u5206\u949f\uff0c\u8fd9\u9053\u9898\u7ec8\u4e8e\u9020\u5b8c\u4e86\uff0c\u7136\u800c\uff0c\u9020\u9898\u7684\u795e\u725b\u4eec\u518d\u4e5f\u4e0d\u60f3\u5199\u8fd9\u9053\u9898\u7684\u7a0b\u5e8f\u4e86\u3002\u201d<\/span><\/p>\n

       \u2014\u2014\u300a\u4e0a\u5e1d\u9020\u88f8\u9898\u7684\u4e03\u5206\u949f\u300b<\/span><\/p>\n

\u6240\u4ee5\u8fd9\u4e2a\u795e\u5723\u7684\u4efb\u52a1\u5c31\u4ea4\u7ed9\u4f60\u4e86\u3002<\/span><\/p>\n<\/p>\n<\/div>\n

Input<\/h2>\n
\n

 \u8f93\u5165\u6570\u636e\u7684\u7b2c\u4e00\u884c\u4e3aX n m\uff0c\u4ee3\u8868\u77e9\u9635\u5927\u5c0f\u4e3an\u00d7m\u3002<\/span><\/p>\n

\u4ece\u8f93\u5165\u6570\u636e\u7684\u7b2c\u4e8c\u884c\u5f00\u59cb\u5230\u6587\u4ef6\u5c3e\u7684\u6bcf\u4e00\u884c\u4f1a\u51fa\u73b0\u4ee5\u4e0b\u4e24\u79cd\u64cd\u4f5c\uff1a<\/span><\/p>\n

\u3000\u3000L a b c d delta \u2014\u2014 \u4ee3\u8868\u5c06(a,b),(c,d)\u4e3a\u9876\u70b9\u7684\u77e9\u5f62\u533a\u57df\u5185\u7684\u6240\u6709\u6570\u5b57\u52a0\u4e0adelta\u3002<\/span><\/p>\n

\u3000\u3000k a b c d\u3000\u3000 \u2014\u2014 \u4ee3\u8868\u6c42(a,b),(c,d)\u4e3a\u9876\u70b9\u7684\u77e9\u5f62\u533a\u57df\u5185\u6240\u6709\u6570\u5b57\u7684\u548c\u3002<\/span><\/p>\n

 <\/p>\n

\u8bf7\u6ce8\u610f\uff0ck\u4e3a\u5c0f\u5199\u3002<\/span><\/p>\n


\n        <\/span><\/p>\n<\/p>\n<\/div>\n

Output<\/h2>\n
\n

\u9488\u5bf9\u6bcf\u4e2ak\u64cd\u4f5c\uff0c\u5728\u5355\u72ec\u7684\u4e00\u884c\u8f93\u51fa\u7b54\u6848\u3002<\/span><\/p>\n<\/p>\n<\/div>\n

Sample Input<\/h2>\n
\nX 4 4

\nL 1 1 3 3 2

\nL 2 2 4 4 1

\nk 2 2 3 3

\n

\n<\/span><\/div>\n

Sample Output<\/h2>\n
\n12

\n<\/span><\/div>\n

HINT<\/h2>\n
\n

\u5bf9\u4e8e100%\u7684\u6570\u636e\uff0c1 \u2264 n \u2264 2048, 1 \u2264 m \u2264 2048, 1 \u2264 delta \u2264 500,\u64cd\u4f5c\u4e0d\u8d85\u8fc7200000\u4e2a,\u4fdd\u8bc1\u8fd0\u7b97\u8fc7\u7a0b\u4e2d\u53ca\u6700\u7ec8\u7ed3\u679c\u5747\u4e0d\u8d85\u8fc732\u4f4d\u5e26\u7b26\u53f7\u6574\u6570\u7c7b\u578b\u7684\u8868\u793a\u8303\u56f4\u3002<\/span><\/p>\n<\/p>\n<\/div>\n

Source<\/h2>\n
\n

tyvj<\/a><\/p>\n

\n<\/div>\n<\/div>\n

\n<\/p>\n

2D\u6811\u72b6\u6570\u7ec4\u652f\u6301\u5355\u70b9\u4fee\u6539+\u6c42\u548c(1,1)-(x,y)\u77e9\u5f62<\/span><\/p>\n

\u56e0\u6b64\u6309\u7167zkw\u7684\u601d\u8def\u7528\u9006\u6c42\u548c\u6570\u7ec4\u505a(\u5c31\u662f\u628a\u533a\u95f4\u4fee\u6539\u7ed3\u6784-\u75282\u4e2a\u5355\u70b9\u4fee\u6539\u7684\u9006\u6c42\u548c\u6570\u7ec4d',{i*d'}\u4ee3\u66ff,\u795e\u601d\u8def)<\/span><\/p>\n

<\/span><\/p>\n

#include<cstdio>\n#include<cstdlib>\n#include<cstring>\n#include<iostream>\n#include<algorithm>\n#include<functional>\nusing namespace std;\n#define MAXN (2050)\nint lowbit(int x){return x&(-x);}\nint n,m,x1,x2,y1,y2,delta;\nstruct arr_tree\n{\n\tint b[MAXN][MAXN];\n\tarr_tree(){memset(b,0,sizeof(b));\t}\n\tvoid add(int x,int y,int c,bool b1,bool b2)\n\t{\n\t\tif (!x||!y||x>n||y>m) return;\n\t\tif (b1) c*=(x-1);if (b2) c*=(y-1);if (!c) return;\n\t\tfor (int i=x;i<=n;i+=lowbit(i))\n\t\t\tfor (int j=y;j<=m;j+=lowbit(j)) b[i][j]+=c;\n\t}\n\tint qur(int x,int y)\n\t{\n\t\tif (!x||!y) return 0;\n\t\tint ans=0;\n\t\tfor (int i=x;i;i-=lowbit(i))\n\t\t\tfor (int j=y;j;j-=lowbit(j)) ans+=b[i][j];\n\t\treturn ans;\n\t}\n\tvoid add(int x1,int y1,int x2,int y2,int c,bool b1,bool b2)\n\t{\n\t\tadd(x2+1,y2+1,delta,b1,b2),add(x1,y1,delta,b1,b2);\n\t\tadd(x1,y2+1,-delta,b1,b2),add(x2+1,y1,-delta,b1,b2);\n\t}\n}d,di,dj,dij;\nint Dsum(int x,int y)\n{\n\treturn d.qur(x,y)*x*y+dij.qur(x,y)-di.qur(x,y)*y-dj.qur(x,y)*x;\n}\nint main()\n{\n\tscanf("X %d %d",&n,&m);\n\tchar c;\n\twhile (scanf("%c",&c)==1)\n\t{\n\t\twhile (c^'L'&&c^'k') if (scanf("%c",&c)!=1) return 0;\n\t\tswitch(c)\n\t\t{\n\t\t\tcase 'L':\n\t\t\t\tscanf("%d%d%d%d%d",&x1,&y1,&x2,&y2,&delta);\n\t\t\t\tif (x1>x2) swap(x1,x2),swap(y1,y2);\n\t\t\t\td.add(x1,y1,x2,y2,delta,0,0),di.add(x1,y1,x2,y2,-delta,1,0);\n\t\t\t\tdj.add(x1,y1,x2,y2,-delta,0,1),dij.add(x1,y1,x2,y2,delta,1,1);\n\t\t\t\tbreak;\n\t\t\tdefault:\n\t\t\t\tscanf("%d%d%d%d",&x1,&y1,&x2,&y2);\n\t\t\t\tif (x1>x2) swap(x1,x2),swap(y1,y2);\n\t\t\t\tprintf("%dn",Dsum(x2,y2)+Dsum(x1-1,y1-1)-Dsum(x1-1,y2)-Dsum(x2,y1-1));\n\t\t}\n\t}\n}<\/pre><\/p>\n","protected":false},"excerpt":{"rendered":"
3132: \u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f Time Limit: 20 Sec  Memor […]<\/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":[74,94],"class_list":["post-386","post","type-post","status-publish","format-standard","hentry","category-defaultcategory","tag-nested_structure","tag-tree_array"],"yoast_head":"\nBZOJ 3132(\u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f-\u6811\u72b6\u6570\u7ec4\u6c42\u548c+2D\u9006\u6c42\u548c\u6570\u7ec4) - 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=386\" \/>\n<meta property=\"og:locale\" content=\"zh_CN\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"BZOJ 3132(\u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f-\u6811\u72b6\u6570\u7ec4\u6c42\u548c+2D\u9006\u6c42\u548c\u6570\u7ec4) - nike0good\" \/>\n<meta property=\"og:description\" content=\"3132: \u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f Time Limit: 20 Sec  Memor […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/nike0good.com\/?p=386\" \/>\n<meta property=\"og:site_name\" content=\"nike0good\" \/>\n<meta property=\"article:published_time\" content=\"2013-04-20T03:01:00+00:00\" \/>\n<meta name=\"author\" content=\"nike0good\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"\u4f5c\u8005\" \/>\n\t<meta name=\"twitter:data1\" content=\"nike0good\" \/>\n\t<meta name=\"twitter:label2\" content=\"\u9884\u8ba1\u9605\u8bfb\u65f6\u95f4\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 \u5206\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=386#article\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=386\"},\"author\":{\"name\":\"nike0good\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/#\\\/schema\\\/person\\\/4defa38da89de87e400861e73396baad\"},\"headline\":\"BZOJ 3132(\u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f-\u6811\u72b6\u6570\u7ec4\u6c42\u548c+2D\u9006\u6c42\u548c\u6570\u7ec4)\",\"datePublished\":\"2013-04-20T03:01:00+00:00\",\"mainEntityOfPage\":{\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=386\"},\"wordCount\":103,\"commentCount\":1,\"keywords\":[\"\u5d4c\u5957\u7ed3\u6784\",\"\u6811\u72b6\u6570\u7ec4\"],\"articleSection\":[\"DefaultCategory\"],\"inLanguage\":\"zh-Hans\",\"potentialAction\":[{\"@type\":\"CommentAction\",\"name\":\"Comment\",\"target\":[\"https:\\\/\\\/nike0good.com\\\/?p=386#respond\"]}]},{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/nike0good.com\\\/?p=386\",\"url\":\"https:\\\/\\\/nike0good.com\\\/?p=386\",\"name\":\"BZOJ 3132(\u4e0a\u5e1d\u9020\u9898\u7684\u4e03\u5206\u949f-\u6811\u72b6\u6570\u7ec4\u6c42\u548c+2D\u9006\u6c42\u548c\u6570\u7ec4) - 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