• POJ


    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

    代码:

    #include <cstdio>
    #include <cstring>
    
    using namespace std;
    
    const int MAXN = 1050;
    
    int N,T;
    int tree[2*MAXN][2*MAXN];
    
    int lowbit(int x)
    {
            return x&(-x);
    }
    int 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))
                            tree[i][j] += val;
    }
    int Query(int x,int y)
    {
            int ans=0;
            for (int i=x ; i>0 ; i-=lowbit(i))
                    for (int j=y ; j>0 ; j-=lowbit(j))
                            ans += tree[i][j];
            return ans;
    }
    
    int main(){
    	
    	int X;
    	scanf("%d",&X);
    	char s[10];
    	int a,b,c,d;
    	while(X--){
    		scanf("%d %d",&N,&T);
    		memset(tree,0,sizeof tree);
    		while(T--){
    			scanf("%s",s);
    			if(s[0] == 'C'){
    				scanf("%d %d %d %d",&a,&b,&c,&d);
    				Add(a,b,1);//这四步是关键,仔细理解。 
    				Add(c+1,b,1);
    				Add(a,d+1,1);
    				Add(c+1,d+1,1);
    			}
    			else {
    				scanf("%d %d",&a,&b);
    				if(Query(a,b)%2 == 0)printf("0
    ");
    				else printf("1
    ");
    			}
    		}
    		if(X)printf("
    ");
    	}
    	
    	return 0;
    }
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  • 原文地址:https://www.cnblogs.com/vocaloid01/p/9514026.html
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