P12534 [AOJ] Is it a Right Triangle?
普及
题目描述

Write a program which judges wheather given length of three side form a right triangle. Print "YES" if the given sides (integers) form a right triangle, "NO" if not so.

Constraints

  • 1 ≤ length of the side ≤ 1,000
  • N ≤ 1,000

Input

Input consists of several data sets. In the first line, the number of data set, N is given. Then, N lines follow, each line corresponds to a data set. A data set consists of three integers separated by a single space.

Output

For each data set, print "YES" or "NO".

Example

Input

3
4 3 5
4 3 6
8 8 8

Output

YES
NO
NO

输入格式

见题面

输出格式

见题面

样例输入
3 4 3 5 4 3 6 8 8 8
样例输出
YES NO NO