Codeforces Round 656 (Div. 3) |
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A. Three Pairwise Maximums

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou are given three positive (i.e. strictly greater than zero) integers $$$x$$$, $$$y$$$ and $$$z$$$.

Your task is to find positive integers $$$a$$$, $$$b$$$ and $$$c$$$ such that $$$x = \max(a, b)$$$, $$$y = \max(a, c)$$$ and $$$z = \max(b, c)$$$, or determine that it is impossible to find such $$$a$$$, $$$b$$$ and $$$c$$$.

You have to answer $$$t$$$ independent test cases. Print required $$$a$$$, $$$b$$$ and $$$c$$$ in any (arbitrary) order.

Input

The first line of the input contains one integer $$$t$$$ ($$$1 \le t \le 2 \cdot 10^4$$$) — the number of test cases. Then $$$t$$$ test cases follow.

The only line of the test case contains three integers $$$x$$$, $$$y$$$, and $$$z$$$ ($$$1 \le x, y, z \le 10^9$$$).

Output

For each test case, print the answer:

- "NO" in the only line of the output if a solution doesn't exist;
- or "YES" in the first line and any valid triple of positive integers $$$a$$$, $$$b$$$ and $$$c$$$ ($$$1 \le a, b, c \le 10^9$$$) in the second line. You can print $$$a$$$, $$$b$$$ and $$$c$$$ in any order.

Example

Input

5 3 2 3 100 100 100 50 49 49 10 30 20 1 1000000000 1000000000

Output

YES 3 2 1 YES 100 100 100 NO NO YES 1 1 1000000000

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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