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Deepak Raj
Deepak Raj

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Sum square difference - Project Euler Solution

Sum square difference - Project Euler Solution

Topic: Sum square difference

Problem Statement:

The sum of the squares of the first ten natural numbers is,

1^2 + 2^2 + ... + 10^2 = 385
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The square of the sum of the first ten natural numbers is,

(1+2+3...+10)^2 = 55^2 = 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.

You can find the original question here -> Project Euler

Sum square difference - Project Euler Solution in python

def difference(n):
    """
        This program will return difference between the square of sum and sum of the square. 
    """
    sumOfSquare = 0
    squareOfSum = 0
    for i in range(n+1):
        squareOfSum += i  
        sumOfSquare += i ** 2
    return squareOfSum ** 2 - sumOfSquare

if __name__ == "__main__":
    print(difference(100))
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