POJ 2155 Matrix (二维树状数组)
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 17224 | Accepted: 6460 |
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
很裸的题。
可以使用二维树状数组。
二维的写起来很方便,两重循环。
如果是要修改(x1,y1) - (x2,y2)的矩形区域。
那么可以在(x1,y1) 出加1,在(x2+1,y1)处加1,在(x1,y2+1)处加1,在(x2+1,y2+1)处加1 。。
画个图就知道了,查询单点就是求和。
/* ***********************************************
Author :kuangbin
Created Time :2014/5/23 22:34:04
File Name :E:\2014ACM\专题学习\数据结构\二维树状数组\POJ2155.cpp
************************************************ */ #include <stdio.h>
#include <string.h>
#include <iostream>
#include <algorithm>
#include <vector>
#include <queue>
#include <set>
#include <map>
#include <string>
#include <math.h>
#include <stdlib.h>
#include <time.h>
using namespace std;
const int MAXN = ;
int lowbit(int x)
{
return x&(-x);
}
int c[MAXN][MAXN];
int n;
int sum(int x,int y)
{
int ret = ;
for(int i = x;i > ;i -= lowbit(i))
for(int j = y;j > ;j -= lowbit(j))
ret += c[i][j];
return ret;
}
void add(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 main()
{
//freopen("in.txt","r",stdin);
//freopen("out.txt","w",stdout);
int T;
scanf("%d",&T);
while(T--)
{
int q;
scanf("%d%d",&n,&q);
memset(c,,sizeof(c));
char op[];
int x1,y1,x2,y2;
while(q--)
{
scanf("%s",op);
if(op[] == 'C')
{
scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
add(x1,y1,);
add(x2+,y1,);
add(x1,y2+,);
add(x2+,y2+,);
}
else
{
scanf("%d%d",&x1,&y1);
if(sum(x1,y1)% == )printf("0\n");
else printf("1\n");
}
}
if(T > )printf("\n");
}
return ;
}
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