Difference of sums

Among the numbers 1 to M, add up the ones divisible by N and, separately, the ones not divisible by N. Print the absolute difference of the two sums.

Reported in: Accenture (Aug 2022), Deloitte (memory-based)

Input

One line: N and M.

Output

The absolute difference.

Constraints

1 ≤ N, M ≤ 10^6.

Example 1

Input:
4 20

Output:
90

Example 2

Input:
3 10

Output:
19

Hint: Loop once, or use the formula for the sum of multiples.

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