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