You are given two integers $a$ and $b$. You may perform any number of operations on them (possibly zero).

During each operation you should choose any positive integer $x$ and set $a := a - x$, $b := b - 2x$ or $a := a - 2x$, $b := b - x$. Note that you may choose different values of $x$ in different operations.

Is it possible to make $a$ and $b$ equal to $0$ simultaneously?

Your program should answer $t$ independent test cases.

Input

The first line contains one integer $t$ ($1 \le t \le 100$) — the number of test cases.

Then the test cases follow, each test case is represented by one line containing two integers $a$ and $b$ for this test case ($0 \le a, b \le 10^9$).

Output

For each test case print the answer to it — YES if it is possible to make $a$ and $b$ equal to $0$ simultaneously, and NO otherwise.

You may print every letter in any case you want (so, for example, the strings yEs, yes, Yes and YES will all be recognized as positive answer).

见题面 Input 部分

见题面 Output 部分

In the first test case of the example two operations can be used to make both $a$ and $b$ equal to zero:

1. choose $x = 4$ and set $a := a - x$, $b := b - 2x$. Then $a = 6 - 4 = 2$, $b = 9 - 8 = 1$;
2. choose $x = 1$ and set $a := a - 2x$, $b := b - x$. Then $a = 2 - 2 = 0$, $b = 1 - 1 = 0$.