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)~ = ~(N \times x_2, N \times y_2)~ or ~(N \times x_1, N \times y_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 Specification

The first line of input provides the number of test cases, ~T~ ~(1 \le T \le 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 Specification

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

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

• ~(-4 \times 1, -4 \times 2) = (-4, -8)~
• ~(3 \times 3, 3 \times 7) = (9, 21)~
• ~(26, 2) = (2 \times 13, 2 \times 1)~