Time Limit: 3000MS | Memory Limit: 65536K | |
Total Submissions: 20161 | Accepted: 7532 |
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
Source
POJ Monthly,Lou Tiancheng
加值的时候直接加一个块。
查询的时候把这个点以及和这个点相关的都累加起来。
#include<map> #include<string> #include<cstring> #include<cstdio> #include<cstdlib> #include<cmath> #include<queue> #include<vector> #include<iostream> #include<algorithm> #include<bitset> #include<climits> #include<list> #include<iomanip> #include<stack> #include<set> using namespace std; const int N=1010; int ir[N],ic[N]; struct Nr { int l,r; struct Nc { int l,r,val; }nc[N<<2]; void build(int l,int r,int k) { nc[k].l=l; nc[k].r=r; nc[k].val=0; if(l==r) { ic[l]=k; return; } int m=(l+r)>>1; build(l,m,k<<1); build(m+1,r,k<<1|1); } void add(int l,int r,int k) { if(nc[k].l==l&&nc[k].r==r) { nc[k].val++; return; } int m=nc[k].l+nc[k].r>>1; if(r<=m) add(l,r,k<<1); else if(l>m) add(l,r,k<<1|1); else { add(l,m,k<<1); add(m+1,r,k<<1|1); } } }nr[N<<2]; void build(int l,int r,int n,int k) { nr[k].l=l; nr[k].r=r; nr[k].build(1,n,1); if(l==r) { ir[l]=k; return; } int m=(l+r)>>1; build(l,m,n,k<<1); build(m+1,r,n,k<<1|1); } void add(int l,int r,int l1,int r1,int k) { if(nr[k].l==l&&nr[k].r==r) { nr[k].add(l1,r1,1); return; } int m=nr[k].l+nr[k].r>>1; if(r<=m) add(l,r,l1,r1,k<<1); else if(l>m) add(l,r,l1,r1,k<<1|1); else { add(l,m,l1,r1,k<<1); add(m+1,r,l1,r1,k<<1|1); } } int seek(int r,int c) { int ans=0; for(int i=ir[r];i>0;i>>=1) for(int j=ic[c];j>0;j>>=1) ans+=nr[i].nc[j].val; return ans; } int main() { int T; scanf("%d",&T); while(T--) { int n,m; scanf("%d%d",&n,&m); build(1,n,n,1); while(m--) { char s[100]; scanf("%s",s); if(s[0]=='C') { int r1,c1,r2,c2; scanf("%d%d%d%d",&r1,&c1,&r2,&c2); add(r1,r2,c1,c2,1); } else { int r,c; scanf("%d%d",&r,&c); printf("%d\n",seek(r,c)%2); } } puts(""); } }