Problem 6
Instead of the O(N) way to calculate the two sums, there are formulas to calculate them directly.
def solve(n=100):
sum_square = n * (n + 1) * (2 * n + 1) // 6
square_sum = n * n * (n + 1) * (n + 1) // 4
return square_sum - sum_square
if __name__ == "__main__":
print(solve())