13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T6b8,

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.

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 "

Three Pairwise Maximums

Examples