Problem

Two points $(x_1, y_1)$ and $(x_2,y_2)$ are said to be integer multiples if there is an integer $N$ such that $(x_1, y_1)=(Nx_2,Ny_2)$ or $(Nx_1, Ny_1) = (x_2, y_2)$.

For example,

$(1, 2)$ and $(2, 4)$ are integer multiples, since for $N=2$, $(2 \times 1, 2 \times 2) = (2, 4)$
$(1, 2)$ and $(-3, -6)$ are also integer multiples ($N = -3)$
$(1, 2)$ and $(1, 3)$ are not integer multiples, since there is no $N$ such that $(N \times 1, N \times 2) = (1,3)$ and vice versa.

Given two points, figure out if they are integer multiples of each other.

Input

The first line of input provides the number of test cases, $T (1 \leq T \leq 100)$. $T$ test cases follow. Each test case consists of two lines. Each line contains two integers $x$, $y$, which represent a point $(x, y)$.

Output

For each test case, your program should output one line containing YES if the two points are integer multiples, or NO otherwise.

Sample Input

4
1 2
-4 -8
3 7
9 21
26 2
13 1
0 7
1 7

Sample Output

YES
YES
YES
NO

Explanation for Sample Output

Looking at the first three test cases in order, we note that: