You are given positive integers n and m.
Define two integers as follows:
num1: The sum of all integers in the range [1, n] (both inclusive) that are not divisible by m.num2: The sum of all integers in the range [1, n] (both inclusive) that are divisible by m.Return the integer num1 - num2.
Example 1:
Input: n = 10, m = 3 Output: 19 Explanation: In the given example: - Integers in the range [1, 10] that are not divisible by 3 are [1,2,4,5,7,8,10], num1 is the sum of those integers = 37. - Integers in the range [1, 10] that are divisible by 3 are [3,6,9], num2 is the sum of those integers = 18. We return 37 - 18 = 19 as the answer.
Example 2:
Input: n = 5, m = 6 Output: 15 Explanation: In the given example: - Integers in the range [1, 5] that are not divisible by 6 are [1,2,3,4,5], num1 is the sum of those integers = 15. - Integers in the range [1, 5] that are divisible by 6 are [], num2 is the sum of those integers = 0. We return 15 - 0 = 15 as the answer.
Example 3:
Input: n = 5, m = 1 Output: -15 Explanation: In the given example: - Integers in the range [1, 5] that are not divisible by 1 are [], num1 is the sum of those integers = 0. - Integers in the range [1, 5] that are divisible by 1 are [1,2,3,4,5], num2 is the sum of those integers = 15. We return 0 - 15 = -15 as the answer.
Constraints:
1 <= n, m <= 100010 3 5 6 5 1