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Longest Subarray with Sum K

Easy

The Longest Subarray with Sum K problem involves finding the longest contiguous subarray whose sum is equal to a given value k.

Given an array arr[] of size n and an integer k, the task is to find the length of the longest subarray having sum equal to k.

This is one of the most important array problems and helps in understanding Prefix Sum, Hashing, and Sliding Window optimization techniques.

 

Example 1

Input

arr[] = [1, 2, 3, 1, 1, 1, 1], k = 6

Output

4

Explanation

Explanation: Subarray [1, 2, 3] → Sum = 6 Length = 3 Subarray [3, 1, 1, 1] → Sum = 6 Length = 4 Longest Length = 4

Example 2

Input

arr[] = [2, 1, 1, 1, 3, 2] k = 5

Output

4

Explanation

Subarray [1, 1, 1, 2] → Sum = 5 Length = 4

Constraints

1 <= n <= 10^5
-10^9 <= arr[i] <= 10^9
-10^9 <= k <= 10^9

Hints:

Hint 1
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Input

Expected Output