POJ2155 树状数组
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 26650 | Accepted: 9825 |
Description
We can change the matrix in the following way. Given a rectangle whose upper-left corner is (x1, y1) and lower-right corner is (x2, y2), we change all the elements in the rectangle by using "not" operation (if it is a '0' then change it into '1' otherwise change it into '0'). To maintain the information of the matrix, you are asked to write a program to receive and execute two kinds of instructions.
1. C x1 y1 x2 y2 (1 <= x1 <= x2 <= n, 1 <= y1 <= y2 <= n) changes the matrix by using the rectangle whose upper-left corner is (x1, y1) and lower-right corner is (x2, y2).
2. Q x y (1 <= x, y <= n) querys A[x, y].
Input
The first line of each block contains two numbers N and T (2 <= N <= 1000, 1 <= T <= 50000) representing the size of the matrix and the number of the instructions. The following T lines each represents an instruction having the format "Q x y" or "C x1 y1 x2 y2", which has been described above.
Output
There is a blank line between every two continuous test cases.
Sample Input
1
2 10
C 2 1 2 2
Q 2 2
C 2 1 2 1
Q 1 1
C 1 1 2 1
C 1 2 1 2
C 1 1 2 2
Q 1 1
C 1 1 2 1
Q 2 1
Sample Output
1
0
0
1
Source
//可以画个图看一下,每次更新(x1,y1),(x2+1,y1),(x1,y2+1),(x2+1,y2+1)这4个点的值
//时所有的点都不会被影响。求每个点的sum(并不真实),奇数是1,偶数是0.
#include<iostream>
#include<cstdio>
#include<cstring>
using namespace std;
const int maxn=;
int A[maxn][maxn];
int cas,n,m,x1,x2,y1,y2;
int Lowbit(int x){
return x&(-x);
}
void Add(int x,int y,int val)
{
for(int i=x;i<=;i+=Lowbit(i)){
for(int j=y;j<=;j+=Lowbit(j)){
A[i][j]+=val;
}
}
}
int Query(int x,int y)
{
int s=;
for(int i=x;i>;i-=Lowbit(i)){
for(int j=y;j>;j-=Lowbit(j)){
s+=A[i][j];
}
}
return s;
}
int main()
{
scanf("%d",&cas);
while(cas--){
scanf("%d%d",&n,&m);
memset(A,,sizeof(A));
char ch[];
while(m--){
scanf("%s",ch);
if(ch[]=='C'){
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
Add(x1,y1,);
Add(x1,y2+,);
Add(x2+,y2+,);
Add(x2+,y1,);
}
else{
scanf("%d%d",&x1,&y1);
int ans=Query(x1,y1);
//cout<<ans<<endl;
printf("%d\n",ans&);
}
}
printf("\n");
}
return ;
}
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