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B. Obtain Two Zeroes

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou 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).

Example

Input

3 6 9 1 1 1 2

Output

YES NO YES

Note

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

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

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

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