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

1^{2} + 2^{2} + ... + 10^{2} = 385

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

(1 + 2 + ... + 10)^{2} = 55^{2} = 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.

**Powershell Solution:**

- $SumOfSq = 1..100|%{[Math]::pow($_,2)}|measure -sum|%{$_.sum}
- $SqOfSum = 1..100|measure -sum|%{[Math]::pow($_.sum,2)}
- echo ($SqOfSum - $SumOfSq)

Note: The solution may not be the optimized one… just a quick hack… I’ll revisit later for optimization if time permits… :-)

## No comments:

Post a Comment