Signed Sum by Multiples

Easy

You are given positive integers limit and step. Write down the numbers from 1 to limit inclusive and give each a sign: minus if it is a multiple of step, plus otherwise. Return the value of the resulting sum.

Example 1

limit=8, step=4 → 12

4 and 8 are multiples of 4 and get a minus sign, the rest a plus: 1 + 2 + 3 − 4 + 5 + 6 + 7 − 8 = 12.

Example 2

limit=3, step=7 → 6

None of 1, 2, 3 is a multiple of 7, so the answer is just 1 + 2 + 3 = 6.

Example 3

limit=4, step=1 → -10

Every number is a multiple of 1, so all of them get a minus sign: −10.

Constraints

1 ≤ limit ≤ 1000
1 ≤ step ≤ 1000

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Topics

Math

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Input

limit=8, step=4

Expected

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