Conturbatio

Time Limit: 6000/3000 MS (Java/Others)

Memory Limit: 65536/65536 K (Java/Others)

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.

Hint

hujie

Source

BestCoder Round #57 (div.2)

提交代码