Right Triangle Check

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Problem

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.

Input

The first line contains the number of test cases nn. Each of the following test cases consists of three integers aa, bb, cc (1a,b,c400001 \le a, b, c \le 40000) on one line, representing the lengths of the three sides of a triangle.

Output

For each test case, first print Scenario #i:, where ii 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.