Count Odd Numbers in an Interval Range

EasyMath

Description

Given two non-negative integers low and high, return the count of odd numbers between low and high (inclusive).

Examples

Input:low = 3, high = 7
Output:3
Explanation:

Formula: (high+1)/2 - low/2 gives count of odds. For range [3,7]: (7+1)/2 - 3/2 = 4 - 1 = 3. The odd numbers are 3, 5, 7.

Input:low = 1, high = 1
Output:1
Explanation:

When low equals high and the number is odd, there is exactly 1 odd number in the range: 1.

Input:low = 4, high = 8
Output:2
Explanation:

The odd numbers in the range [4, 8] are 5 and 7. Even though both endpoints are even, there are 2 odd numbers between them.

Constraints

  • 0 ≤ low ≤ high ≤ 10^9

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