euler/python/e006.py

24 lines
893 B
Python

"""What is the difference between the sum of the squares and the square of the sums?
The sum of the squares of the first ten natural numbers is,
12 + 22 + ... + 102 = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)2 = 552 = 3025
Hence the difference between the sum of the squares of the first ten natural numbers and the square of the sum is 3025 385 = 2640.
Find the difference between the sum of the squares of the first one hundred natural numbers and the square of the sum.
"""
def squarediff(n):
print 'Checking for n =', n
sumofsquares = sum([x**2 for x in range(n + 1)])
print 'Sum of squares', sumofsquares
squareofsum = sum(range(n + 1))**2
print 'Square of sum', squareofsum
print 'Difference', squareofsum - sumofsquares
def main():
squarediff(10)
squarediff(100)
if __name__ == '__main__':
main()