Matrix

Time Limit: 3000 MS Memory Limit: 65536 KB

64-bit integer IO format: %I64d , %I64u Java class name: Main

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Description

Given an N*N matrix A, whose elements are either 0 or 1. A[i, j] means the number in the i-th row and j-th column. Initially we have A[i, j] = 0 (1 <= i, j <= N).

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 the input is an integer X (X
<= 10) representing the number of test cases. The following X blocks
each represents a test case.

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

For each querying output one line, which has an integer representing A[x, y].

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
#include <iostream>
#include <stdio.h>
#include <string.h> using namespace std;
#define max 1005
int c[max][max];
int n; int lowbit(int x)
{
return x&-x;
} void update(int x,int y,int val)
{
for(int i=x; i<=n; i+=lowbit(i))
{
for(int j=y; j<=n; j+=lowbit(j))
{
c[i][j]+=val;
}
}
} int get_sum(int x,int y)
{
int s=;
for(int i=x; i>; i-=lowbit(i))
{
for(int j=y; j>; j-=lowbit(j))
{
s+=c[i][j];
}
}
return s;
} int main()
{
/// freopen("in.txt","r",stdin);
///freopen("out.txt","w",stdout);
int cc,t,x1,x2,y1,y2,a,b;
char ch;
scanf("%d",&cc);
for(int i=;i<=cc;i++)
{
memset(c,,sizeof(c));
scanf("%d%d",&n,&t);
getchar();
for(int j=;j<t;j++) ///下标不可以从0开始 会死循环
{
scanf("%c",&ch);
if(ch=='C')
{
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
getchar();
update(x1,y1,);
update(x1,y2+,);
update(x2+,y1,);
update(x2+,y2+,);
}
else
{
scanf("%d%d",&a,&b);
getchar();
printf("%d\n",get_sum(a,b)%);
}
}
printf("\n");
}
return ;
}

* 矩阵的00在左上角

http://blog.csdn.net/zxy_snow/article/details/6264135   图示

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