Conturbatio

Accepts: 206
Submissions: 703
Time Limit: 6000/3000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
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. $1\leq n , m , K , Q \leq 100,000$. $1\leq x \leq n , 1 \leq y \leq m$. $1\leq x1 \leq x2 \leq n , 1 \leq y1 \leq y2 \leq m$.
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.