A13607. Three Pairwise Maximums

You 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.

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 $z$ ( $1 \le x, y, z \le 10^9$ ).

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.