Pythagorean Triples

Time Limit: 1 sec

 

The Problem

A Pythagorean Triple is a sequence of 3 integers a, b, and c, satisfying the following properties:

 

1. 0 < a < b < c; and

2. a² + b² = c².

 

Write a program that takes 3 integers a, b, and c as input and reports whether they form
a Pythagorean Triple.

 

For example:

3, 4, and 5 a Pythagorean Triple because it’s satisfy 2 condition

1. 0 < 3 < 4 < 5

2. 3² + 4² = 5²

But -3, 4, 5 not a Pythagorean Triple because it’s does not satisfy condition 1.

The Input

The first line contains an integer number T, which indicates the number of test cases (0<T<100). Each test case is given in one line. This line contains three integer numbers a, b, and c (-1000<a, b, c<1000).

 

The Output

For each test case, print a single line “Case X: Yes” if a, b, and c are a Pythagorean Triple otherwise print “Case X: No”, here X is the case number start from 1 to T.

 

Sample Input

2

3 4 5

-3 4 5

 

Sample Output

Case 1: Yes

Case 2: No

 

 

 

[University Level]

ISCPC 2017 Preliminary

Problem Setter: Shahin ShamS