Count subarrays with odd zero count
Problem Description
Given an integer array nums, determine the total count of contiguous subarrays where the number of zeros within that subarray is odd.
Constraints
The solution must achieve an optimal time complexity of O(n). A common approach for this type of problem involves using prefix parity counts of zero occurrences.
Deliverables
- Provide an O(n) solution.
- State the time and space complexity of your solution.
Example
nums = [0, 0, 1, 0, 1] should return 4.
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Core dilemma
Transforming a subarray counting problem from a naive O(N^2) approach to an O(N) solution by efficiently tracking prefix zero counts and their parities, specifically counting pairs (i, j) where the difference in prefix zero counts is odd.
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Count subarrays with odd zero count
Problem Description
Given an integer array nums, determine the total count of contiguous subarrays where the number of zeros within that subarray is odd.
Constraints
The solution must achieve an optimal time complexity of O(n). A common approach for this type of problem involves using prefix parity counts of zero occurrences.
Deliverables
- Provide an O(n) solution.
- State the time and space complexity of your solution.
Example
nums = [0, 0, 1, 0, 1] should return 4.