Matrix
Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 16797 | Accepted: 6312 |
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
12 10C 2 1 2 2Q 2 2C 2 1 2 1Q 1 1C 1 1 2 1C 1 2 1 2C 1 1 2 2Q 1 1C 1 1 2 1Q 2 1
Sample Output
1001
Source
,Lou Tiancheng
1 //4100K 438MS C++ 1052B 2014-04-01 21:00:26 2 /* 3 4 题意: 5 给出一个n*n的 二维区间,有小矩形取反操作和对某元素求值操作,对每个操作 6 做出处理。 7 8 树状数组: 9 这题和一般的树状数组不一样,一般的是对某个值更改,对某段求值,现在是刚好10 反过来,利用反向思维,讲原先更新的操作用来求值, 求值的操作用来更新即可。 11 12 */13 #include14 #include 15 #define N 100516 int c[N][N];17 int lowbit(int i)18 {19 return i&(-i);20 }21 int update(int x,int y)22 {23 int s=0;24 for(int i=x;i 0;i-=lowbit(i))33 for(int j=y;j>0;j-=lowbit(j))34 c[i][j]^=1;35 }36 int main(void)37 {38 int t,n,m;39 char op;40 int x1,x2,y1,y2;41 scanf("%d",&t);42 while(t--)43 {44 scanf("%d%d%*c",&n,&m);45 memset(c,0,sizeof(c));46 while(m--){47 scanf("%c",&op);48 if(op=='Q'){49 scanf("%d%d%*c",&x1,&y1);50 printf("%d\n",update(x1,y1));51 }else{52 scanf("%d%d%d%d%*c",&x1,&y1,&x2,&y2);53 getsum(x1-1,y1-1);54 getsum(x1-1,y2);55 getsum(x2,y1-1);56 getsum(x2,y2);57 }58 }59 printf("\n");60 }61 return 0;62 }