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 Control.Monad
isRt :: [Int] -> String
isRt (a:b:c:_) | a^2 + b^2 == c^2 = "YES"
               | b^2 + c^2 == a^2 = "YES"
               | c^2 + a^2 == b^2 = "YES"
               | otherwise        = "NO"
main = getLine >>= \n -> replicateM (read n) getLine
        >>= return . map (isRt .(map read) . words) >>= mapM_ putStrLn