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Background

A city of size $n\times m$ suffered $x$ bombings. Each time, a rectangle whose sides are parallel to the borders was bombed.

Problem Description

After the bombings, there are $y$ key points. The commander wants to know whether each of them was ever bombed; if yes, how many times, and in which round the last time occurred.

Input Format

The first line contains four integers, $n,m,x,y$.

The next $x$ lines each contain four integers $x_1,y_1,x_2,y_2$, representing the top-left and bottom-right coordinates of the bombed rectangle (for example, $1,3,7,10$ means the bombed area is the rectangle from $(1,3)$ to $(7,10)$).

The next $y$ lines each contain two integers, representing the coordinates of a key point.

Output Format

Output $y$ lines. In each line, the first character is Y or N, indicating whether it was bombed; if it is Y, then after a single space output two integers: the number of times it was bombed and the round number of the last time.

10 10 2 3
1 1 5 5
5 5 10 10
3 2
5 5
7 1

Y 1 1
Y 2 2
N

Hint

For $100\%$ of the testdata, $1\le n,m\le 100$.

Translated by ChatGPT 5