How to Solve Number of Zero- Filled Subarrays Problem
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Number of Zero-Filled Subarrays
Given an integer array nums, return the number of subarrays filled with 0. A subarray is a contiguous non-empty sequence of elements within an array.
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Understanding the Number of Zero- Filled Subarrays Problem
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Problem Statement
Given an integer array nums, return the number of subarrays filled with 0. A subarray is a contiguous non-empty sequence of elements within an array.
Number of Zero-Filled Subarrays
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Examples
nums = [1,3,0,0,2,0,0,4]
6
There are 4 occurrences of [0] as a subarray. There are 2 occurrences of [0,0] as a subarray. There is no occurrence of a subarray with a size more than 2 filled with 0. Therefore, we return 6.
nums = [0,0,0,2,0,0]
9
There are 5 occurrences of [0] as a subarray. There are 3 occurrences of [0,0] as a subarray. There is 1 occurrence of [0,0,0] as a subarray. There is no occurrence of a subarray with a size more than 3 filled with 0. Therefore, we return 9.
nums = [2,10,2019]
0
There is no subarray filled with 0. Therefore, we return 0.
Constraints
1 <= nums.length <= 105
109 <= nums[i] <= 109
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