number-of-zero-filled-subarrays

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.



 


Example 1:



Input: nums = [1,3,0,0,2,0,0,4]
Output: 6
Explanation: 
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.


Example 2:



Input: nums = [0,0,0,2,0,0]
Output: 9
Explanation:
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.


Example 3:



Input: nums = [2,10,2019]
Output: 0
Explanation: There is no subarray filled with 0. Therefore, we return 0.


 


Constraints:




  • 1 <= nums.length <= 105

  • -109 <= nums[i] <= 109


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