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Binary Subarrays With Sum

Arrays
medium
Score: 30

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.

Input Format

First Parameter: Length of array n

Second Parameter: Array of int nums

Third Parameter: Integer goal

Output Format

Return the integer

Example 1

Input: nums = [1,0,1,0,1], goal = 2
Output: 4
Explanation: The 4 possible subarrays with sum 2: 
[1,0,1]
[1,0,1,0]
[0,1,0,1]
[1,0,1]

Example 2

Input: nums = [0,0,0,0,0], goal = 0
Output: 15

Constraints

  • 1 <= nums.length <= 3 * 104
  • nums[i] is either 0 or 1.
  • 0 <= goal <= nums.length
  • Expected Time Complexity - O(n logn)
  • Expected Space Complexity - O(1)
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