2894. Divisible and Non-divisible Sums Difference

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.

def differenceOfSums(self, n: int, m: int) -> int:
	num1, num2 = 0, 0
	for i in range(1,n+1):
		if i % m != 0:
			num1 += i
		else:
			num2 += i
	return num1 - num2