Problem:
Is it a Right Triangle?

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.

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.

Constraints

1 ≤ length of the side ≤ 1,000

N ≤ 1,000

Output

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

Sample Input

3
4 3 5
4 3 6
8 8 8

Output for the Sample Input

YES
NO
NO

Solution in Haskell (judge verdict: Accepted)

import Data.List (permutations)
import Control.Monad (replicateM)

isTriangle [a,b,c]
  | any isTriangle' (permutations [a,b,c]) = "YES"
  | otherwise                             = "NO"
    where
      isTriangle' [x,y,z] = (read x)^2 + (read y)^2 == (read z)^2

main = do
  s  <- getContents
  putStr $ unlines $ map isTriangle $ map words $ tail $ lines s