"""A Pythagorean triplet is a set of three natural numbers, for which, a^2+b^2=c^2 Given N, Check if there exists any Pythagorean triplet for which a+b+c=N Find maximum possible value of product of a,b,c among all such Pythagorean triplets, If there is no such Pythagorean triplet print -1.""" #!/bin/python3 product=-1 d=0 N = int(input()) for a in range(1,N//3): """Solving the two equations a**2+b**2=c**2 and a+b+c=N eliminating c """ b=(N*N-2*a*N)//(2*N-2*a) c=N-a-b if c*c==(a*a+b*b): d=(a*b*c) if d>=product: product=d print(product)