15. Subarray Sum Equals K
mediumAsked at RappiCount contiguous subarrays summing to k — Rappi frames this as counting time-windows where cumulative delivery revenue exactly matches a guaranteed payout.
By Alex Chen, Founder, InterviewChamp.AI · Last verified
Problem
Given an integer array nums and integer k, return the total number of contiguous subarrays whose sum equals k.
Constraints
1 <= nums.length <= 2 * 10^4-1000 <= nums[i] <= 1000-10^7 <= k <= 10^7
Examples
Example 1
nums = [1,1,1], k = 22Example 2
nums = [1,2,3], k = 32Approaches
1. Brute pair sums
Sum every subarray (i,j) directly.
- Time
- O(n^2)
- Space
- O(1)
let cnt = 0;
for (let i = 0; i < nums.length; i++) {
let s = 0;
for (let j = i; j < nums.length; j++) { s += nums[j]; if (s === k) cnt++; }
}
return cnt;Tradeoff:
2. Prefix-sum hash map
Track running prefix sums in a map; the count of subarrays ending at i with sum k is the number of prior prefixes equal to prefix - k.
- Time
- O(n)
- Space
- O(n)
function subarraySum(nums, k) {
const seen = new Map([[0,1]]);
let pre = 0, out = 0;
for (const n of nums) {
pre += n;
out += seen.get(pre - k) || 0;
seen.set(pre, (seen.get(pre) || 0) + 1);
}
return out;
}Tradeoff:
Rappi-specific tips
Rappi expects the prefix-sum + hash-map trick — their settlement service uses exactly this shape to count payout-matching windows across courier shift logs.
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