Sum square difference

最新推荐文章于 2023-12-28 10:09:42 发布

转载最新推荐文章于 2023-12-28 10:09:42 发布 · 337 阅读

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#python

本文介绍了一种计算方法，用于找出前一百个自然数的平方和与这些数和的平方之间的差值。通过定义两个函数 naturalnumber 和 squarenumber 分别计算平方和及和的平方，最后输出两者之间的差值。

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简单：

e 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 naturalnumber(n):
    sumnatural = 0
    for i in xrange(1,n+1):
        sumnatural += i * i
    return sumnatural

def squarenumber(n):
    sumsquare = 0
    for i in xrange(1,n+1):
        sumsquare += i
    return sumsquare * sumsquare

print squarenumber(100) - naturalnumber(100)