Problem $2.$ Pythagorean Numbers

The lengths $($a$,$b$,$c$)$ of the three sides of a right triangle are related by this well$-$known formula:

a$2+$ b$2=$ c$2.$

A Pythagorean triple consists of three positive integer numbers bound by the above relation. An

example of a triple is $(3,4,5).$

Enter a: $1$

Enter b: $2$

Enter c: $1$

one solution: $-1\mathrm{.}00000$

Enter a: $3$

Enter b: $0$

Enter c: $1$

no real solutions

Enter a: $1$

Enter b: $-1$

Enter c: $-6$

two solutions: x$1=-2\mathrm{.}00000$ x$2=3\mathrm{.}00000$

$($user types CTRL$-$Z on Windows to enter EOF and finish the program$)$

Write program p$2\_.....$py that reads from the terminal a positive integer n and that computes and

displays to the terminal all possible Pythagorean triples $($a$,$b$,$c$),$ where $0$