560. Subarray Sum Equals K

Medium
Array
Hash Table
Prefix Sum

Description

Given an array of integers nums and an integer k, return the total number of subarrays whose sum equals to k.

A subarray is a contiguous non-empty sequence of elements within an array.

 

Example 1:

Input: nums = [1,1,1], k = 2
Output: 2

Example 2:

Input: nums = [1,2,3], k = 3
Output: 2

 

Constraints:

  • 1 <= nums.length <= 2 * 104
  • -1000 <= nums[i] <= 1000
  • -107 <= k <= 107

Hints

Hint 1
Will Brute force work here? Try to optimize it.
Hint 2
Can we optimize it by using some extra space?
Hint 3
What about storing sum frequencies in a hash table? Will it be useful?
Hint 4
sum(i,j)=sum(0,j)-sum(0,i), where sum(i,j) represents the sum of all the elements from index i to j-1. Can we use this property to optimize it.

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