LeetCode The Hard Way
0500 - 0599

0560 - Subarray Sum Equals K (Medium)

https://leetcode.com/problems/subarray-sum-equals-k/

Problem Statement

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

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 * 10^4
  • -1000 <= nums[i] <= 1000
  • -10^7 <= k <= 10^7

Approach 1: Hash Map

We use hash map to store the cumulative sum sum[i]sum[i] up to index ii. If sum[i]sum[j]=ksum[i] - sum[j] = k, then it means the sum between indices ii and jj is kk. Therefore, we store the cumulative sum, search for sumksum - k in the hash map and add the occurrences if it is found to the answer.

class Solution {
public:
    int subarraySum(vector<int>& nums, int k) {
        unordered_map<int, int> m;
        m[0]++;
        int sum = 0, ans = 0;
        for (int i = 0; i < nums.size(); i++) {
            sum += nums[i];
            ans += m[sum - k];
            m[sum]++;
        }
        return ans;
    }
};
class Solution {
    public int subarraySum(int[] nums, int k) {
        int sum = 0, result = 0;
        HashMap<Integer, Integer> preSum = new HashMap<>();
        preSum.put(0, 1);
        for (int i = 0; i < nums.length; i++) {
            sum += nums[i];
            if (preSum.containsKey(sum - k)) {
                result += preSum.get(sum - k);
            }
            preSum.put(sum, preSum.getOrDefault(sum, 0) + 1);
        }
        return result;
    }
}

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