You are given a triplet of 3 integers a , b , c and a number x. Now you need to check if it is possible to make a right angled triangle by adding the value x to any two of the numbers in the given triplet. You have to print YES if it is possible or else print NO.

**It is necessary to add the number x**.
Input
First line contains a number t as input denoting total number of test cases. Each test case contains four space separated integers $a , b , c , x$ .
Output
In the output you have to print YES or NO according to the condition discussed above.
Constraints
$1 \le t \le 10^4$
$-10^{18} \le a , b ,c , x \le 10^{18}$