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:T5e1,

You are given one integer number $$$n$$$. Find three distinct integers $$$a, b, c$$$ such that $$$2 \le a, b, c$$$ and $$$a \cdot b \cdot c = n$$$ or say that it is impossible to do it.

If there are several answers, you can print any.

You have to answer $$$t$$$ independent test cases.

Input

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

The next $$$n$$$ lines describe test cases. The $$$i$$$-th test case is given on a new line as one integer $$$n$$$ ($$$2 \le n \le 10^9$$$).

Output

For each test case, print the answer on it. Print "NO" if it is impossible to represent $$$n$$$ as $$$a \cdot b \cdot c$$$ for some distinct integers $$$a, b, c$$$ such that $$$2 \le a, b, c$$$.

Otherwise, print "

Product of Three Numbers

Examples