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  • Codeforces 372B Counting Rectangles is Fun

    http://codeforces.com/problemset/problem/372/B

    题意:每次给出一个区间,求里面有多少个矩形

    思路:预处理,sum[i][j][k][l]代表以k,l为右下角,左上角不超过i,j有多少矩形,然后询问的时候枚举右下角就可以了

     1 #include<cstdio>
     2 #include<cmath>
     3 #include<algorithm>
     4 #include<cstring>
     5 #include<iostream>
     6 int n,m,T;
     7 int sum[45][45][45][45],l[45][45];
     8 char s[2005];
     9 int read(){
    10     int t=0,f=1;char ch=getchar();
    11     while (ch<'0'||ch>'9'){if (ch=='-') f=-1;ch=getchar();}
    12     while ('0'<=ch&&ch<='9'){t=t*10+ch-'0';ch=getchar();}
    13     return t*f;
    14 }
    15 void init(){
    16     for (int i=1;i<=n;i++){
    17         scanf("%s",s+1);
    18         for (int j=1;j<=m;j++){
    19          if (s[j]=='1') continue;
    20          if (s[j-1]=='0') l[i][j]=l[i][j-1]+1;
    21          else l[i][j]=1; 
    22         }
    23     }
    24     for (int i=1;i<=n;i++)
    25      for (int j=1;j<=m;j++)
    26       for (int k=i;k<=n;k++)
    27        for (int L=j;L<=m;L++){
    28             int tmp=1<<29;
    29             int ss=0;
    30             for (int x=k;x>=i;x--){
    31                 int ll=std::min(L-j+1,l[x][L]);
    32                 tmp=std::min(tmp,ll);
    33                 ss+=tmp;
    34             }
    35             sum[i][j][k][L]=ss;
    36        }
    37 }
    38 int main(){
    39     n=read();m=read();T=read();
    40     init();
    41     while (T--){
    42         int x1=read(),y1=read(),x2=read(),y2=read(),ans=0;
    43         for (int i=x1;i<=x2;i++)
    44          for (int j=y1;j<=y2;j++)
    45           ans+=sum[x1][y1][i][j];
    46         printf("%d
    ",ans);  
    47     }
    48     return 0;
    49 }
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  • 原文地址:https://www.cnblogs.com/qzqzgfy/p/5623705.html
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