Problem Definition
Available at Sum square difference
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.
Implementation
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open System | |
let squareOfSum n = | |
let i = n*(n+1)/2 | |
i*i | |
let sumOfSquare n = | |
[1..n] | |
|> List.fold (fun acc x -> acc + x*x) 0 | |
let solveEuler6 N = | |
(squareOfSum N)- (sumOfSquare N) |
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