Problem
https://projecteuler.net/problem=6
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.
Answer: 25164150
Solution
pub fn sum_squares(size: u32) -> u32
{
let mut sum_square = 0;
let mut square_sum = 0;
for i in 1..size + 1 {
sum_square += i * i;
square_sum += i;
}
return (square_sum * square_sum) - sum_square;
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn euler_006() {
assert_eq!(sum_squares(100), 25_164_150);
}
}