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Longest Subarray

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Problem Statement
A subarray of array a is defined as a contiguous block of a’s elements having a length that is less than or equal to the length of the array. For example, the subarrays of array a = [1, 2, 3] are [1], [2], [3], [1, 2], [2, 3], and [1, 2, 3]. Given an integer, k = 3, the subarrays having elements that sum to a number ≤ k are [1], [2], and [1, 2]. The longest of these subarrays is [1, 2], which has a length of 2. Given an array, a, determine its longest subarray that sums to less than or equal to a given value k.

Function Description
Complete the function maxLength in the editor below. The function must return an integer that represents the length of the longest subarray of a that sums to a number ≤ k.

maxLength has the following parameter(s):

a[a[0],…a[n-1]]: an array of integers
k: an integer

Constraints
1 ≤ n ≤ 105
1 ≤ a[i] ≤ 103
1 ≤ k ≤ 109

Sample Input 0

Sample Output 0

Explanation 0
The subarrays of [1, 2, 3] having elements that sum to a number ≤ (k = 4) are [1], [2], [3], and [1, 2]. The longest of these is [1, 2], which has a length of 2. Return 2 as the answer.

Solution