Jun-gyu is building a house and wants every wall to be shaped like a right triangle. He cut wood into triangles, but because he has no tool for measuring angles, he could only use a tape measure to record the lengths of the three sides.
Given the lengths of the three sides of a triangle, write a program that determines whether it is a right triangle.
The first line contains the number of test cases n. Each of the following test cases consists of three integers a, b, c (1≤a,b,c≤40000) on one line, representing the lengths of the three sides of a triangle.
For each test case, first print Scenario #i:, where i is the test case number starting from 1. On the next line, print yes if the given triangle is a right triangle, or no otherwise. Print a single blank line between consecutive test cases.