mirror of
https://github.com/TheAlgorithms/Python.git
synced 2024-11-25 05:51:08 +00:00
20 lines
597 B
Python
20 lines
597 B
Python
"""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
|
|
import sys
|
|
|
|
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)
|