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Binary Subarrays With Sum

Given a binary array nums and an integer goal, return the number of non-empty subarrays with a sum goal.

Given a binary array nums and an integer goal, return the number of non-empty subarrays with a sum goal.

A subarray is a contiguous part of the array.

Binary Subarrays With Sum diagram

Example 1

Input: nums = [1,0,1,0,1], goal = 2

Output: 4

Explanation: The 4 subarrays are bolded and underlined below: [1,0,1,0,1] [1,0,1,0,1] [1,0,1,0,1] [1,0,1,0,1]

Example 2

Input: nums = [0,0,0,0,0], goal = 0

Output: 15

Constraints

  • 1 <= nums.length <= 3 * 10^4
  • nums[i] is either 0 or 1.
  • 0 <= goal <= nums.length

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