HDU 2888 Check Corners （二维RMQ，3级）

A - Check Corners

Crawling in process... Crawling failed Time Limit:10000MS    Memory Limit:32768KB     64bit IO Format:%I64d & %I64u

Submit Status

Appoint description: System Crawler (2013-05-30)

Description

Paul draw a big m*n matrix A last month, whose entries Ai,j are all integer numbers ( 1 <= i <= m, 1 <= j <= n ). Now he selects some sub-matrices, hoping to find the maximum number. Then he finds that there may be more than one maximum number, he also wants to know the number of them. But soon he find that it is too complex, so he changes his mind, he just want to know whether there is a maximum at the four corners of the sub-matrix, he calls this “Check corners”. It’s a boring job when selecting too many sub-matrices, so he asks you for help. (For the “Check corners” part: If the sub-matrix has only one row or column just check the two endpoints. If the sub-matrix has only one entry just output “yes”.)

 

Input

There are multiple test cases.

For each test case, the first line contains two integers m, n (1 <= m, n <= 300), which is the size of the row and column of the matrix, respectively. The next m lines with n integers each gives the elements of the matrix which fit in non-negative 32-bit integer.

The next line contains a single integer Q (1 <= Q <= 1,000,000), the number of queries. The next Q lines give one query on each line, with four integers r1, c1, r2, c2 (1 <= r1 <= r2 <= m, 1 <= c1 <= c2 <= n), which are the indices of the upper-left corner and lower-right corner of the sub-matrix in question.

 

Output

For each test case, print Q lines with two numbers on each line, the required maximum integer and the result of the “Check corners” using “yes” or “no”. Separate the two parts with a single space.

 

Sample Input

      
      
      
      

       
       
       
       4 4
4 4 10 7
2 13 9 11
5 7 8 20
13 20 8 2
4
1 1 4 4
1 1 3 3
1 3 3 4
1 1 1 1
      
      
      
      

 

Sample Output

      
      
      
      

       
       
       
       20 no
13 no
20 yes
4 yes
      
      
      
      

 

#include<iostream>
#include<cstring>
#include<cstdio>
#define FOR(i,a,b) for(int i=a;i<=b;++i)
#define clr(f,z) memset(f,z,sizeof(f))
#define ll(x) (1<<x)
using namespace std;
const int mm=305;
int rmq[mm][mm][9][9];
int f[mm][mm],bit[mm];
int n,m;
void initRMQ()
{ bit[0]=-1;
  FOR(i,1,mm-1)bit[i]=(i&(i-1))==0?bit[i-1]+1:bit[i-1];
  FOR(i,1,n)FOR(j,1,m)
  rmq[i][j][0][0]=f[i][j];
  FOR(r,0,bit[n])FOR(c,0,bit[m])
  if(r+c)
  for(int i=1;i+ll(r)-1<=n;++i)
    for(int j=1;j+ll(c)-1<=m;++j)
    if(r!=0)
    rmq[i][j][r][c]=max(rmq[i][j][r-1][c],rmq[i+ll(r-1)][j][r-1][c]);
    else rmq[i][j][r][c]=max(rmq[i][j][r][c-1] ,rmq[i][j+ll(c-1)][r][c-1] );
}
int RMQ(int r1,int c1,int r2,int c2)
{
  int t1,t2;
  t1=bit[r2-r1+1];
  t2=bit[c2-c1+1];
  int a=max(rmq[r1][c1][t1][t2],rmq[r2-ll(t1)+1][c1][t1][t2]);
  int b=max(rmq[r1][c2-ll(t2)+1][t1][t2],rmq[r2-ll(t1)+1][c2-ll(t2)+1][t1][t2]);
  return max(a,b);
}
void in(int &a)
{
    char c;
    while((c=getchar())<'0'||c>'9');
    for(a=0;c>='0'&&c<='9';c=getchar())a=a*10+c-'0';
}
void out(int x)
{
    if(x>9)out(x/10);
    putchar(x%10+48);
}
int main()
{
  while(~scanf("%d%d",&n,&m))
  {
    FOR(i,1,n)FOR(j,1,m)
    in(f[i][j]);
    //scanf("%d",&f[i][j]);
    initRMQ();
    int Q;
    in(Q);
    //scanf("%d",&Q);
    while(Q--)
    {
      int r1,c1,r2,c2;
      //scanf("%d%d%d%d",&r1,&c1,&r2,&c2);
      in(r1);in(c1);in(r2);in(c2);
      int ans=RMQ(r1,c1,r2,c2);out(ans);
      if(f[r1][c1]==ans||f[r1][c2]==ans||f[r2][c1]==ans||f[r2][c2]==ans)
        printf(" yes\n");
      else printf(" no\n");
    }
  }
  return 0;
}