c04e09.py

Created by jabrena

Created on July 30, 2021

744 Bytes

# https://projecteuler.net/problem=9

# # Special Pythagorean triplet # Problem 9 # # A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, # # a2 + b2 = c2 # # For example, # # 3^2 + 4^2 = 9 + 16 = 25 = 5^2. # # There exists exactly one Pythagorean triplet for which a + b + c = 1000. # Find the product abc.

#
# https://projecteuler.net/problem=9
# 
# Special Pythagorean triplet
# Problem 9
#
# A Pythagorean triplet is a set of three natural numbers, a < b < c, for which,
#
# a2 + b2 = c2
# 
# For example, 
# 
# 3^2 + 4^2 = 9 + 16 = 25 = 5^2.
#
# There exists exactly one Pythagorean triplet for which a + b + c = 1000.
# Find the product abc.

# Solution

def problem(limit) :

    for a in range(1, limit) :
        for b in range(1, limit) :
            for c in range(1, limit) :
                if (a + b + c == limit) and (a ** 2 + b ** 2 == c ** 2) :
                    print("a: {} b: {} c: {}" . format(a,b,c))
                    return a * b * c

# Asserts
#print(problem(1000) == 31875000) #Computational issues for TI-84