hdu5480 Conturbatio(思维)

本文介绍了一种快速判断棋盘上特定矩形区域是否被放置的车完全覆盖的方法。通过预处理行和列的攻击状态,实现高效查询,适用于大规模棋盘及多次询问场景。

Conturbatio

Time Limit: 6000/3000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 975    Accepted Submission(s): 439


Problem Description
There are many rook on a chessboard, a rook can attack the row and column it belongs, including its own place.

There are also many queries, each query gives a rectangle on the chess board, and asks whether every grid in the rectangle will be attacked by any rook?
 

Input
The first line of the input is a integer T, meaning that there are T test cases.

Every test cases begin with four integers n,m,K,Q.
K is the number of Rook, Q is the number of queries.

Then K lines follow, each contain two integers x,y describing the coordinate of Rook.

Then Q lines follow, each contain four integers x1,y1,x2,y2 describing the left-down and right-up coordinates of query.

1n,m,K,Q100,000.

1xn,1ym.

1x1x2n,1y1y2m.
 

Output
For every query output "Yes" or "No" as mentioned above.
 

Sample Input
2 2 2 1 2 1 1 1 1 1 2 2 1 2 2 2 2 2 1 1 1 1 2 2 1 2 2
 

Sample Output
Yes No Yes
Hint
Huge input, scanf recommended.
 

题意:给你n*m的方格,给你k个车,其中车可以攻击他所属的一行或一列,包括它自己所在的位置,.再给你q行,每行4个整数x1 , y1 , x2 , y2x1,y1,x2,y2,表示询问的矩形的左下角与右上角的坐标。

可以开两个数组,一个表示行,一个表示列,一个车所在的行列记录下来。

#include<cstdio>
#include<algorithm>
#include<cstring>
using namespace std;
#define N 100005
int r[N],c[N];
int main()
{
	int t;
	scanf("%d",&t);
	while(t--)
	{
		memset(r,0,sizeof(r));
		memset(c,0,sizeof(c)); 
		int n,m,k,q;
		scanf("%d%d%d%d",&n,&m,&k,&q);
		for(int i=0;i<k;i++)
		{
			int a,b;
			scanf("%d%d",&a,&b);
			r[a]=1;
			c[b]=1;
		}
		for(int i=2;i<=n;i++)
		{
			r[i]+=r[i-1];
		}
		for(int i=2;i<=m;i++)
		{
			c[i]+=c[i-1];
		}
		for(int i=0;i<q;i++)
		{
			int x1,y1,x2,y2;
			scanf("%d%d%d%d",&x1,&y1,&x2,&y2);
		    if(r[x2]-r[x1-1]==x2-x1+1||c[y2]-c[y1-1]==y2-y1+1)//如果两个条件都不满足,说明至少有一行一列没有车,那这一个行列所对应的值也就不能被攻击到 
			    printf("Yes\n");
			else printf("No\n");
		}
	}
	return 0;
}


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