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Pick from both sides!


Problem Description

Given an integer array A of size N.

 

 

You have to pick exactly B elements from either left or right end of the array A to get maximum sum.

Find and return this maximum possible sum.

NOTE: Suppose B = 4 and array A contains 10 elements then

 

 

  • You can pick first four elements or can pick last four elements or can pick 1 from front and 3 from back etc . you need to return the maximum possible sum of elements you can pick.


Problem Constraints

1 <= N <= 105

1 <= B <= N

-103 <= A[i] <= 103



Input Format

First argument is an integer array A.

Second argument is an integer B.



Output Format

Return an integer denoting the maximum possible sum of elements you picked.



Example Input

Input 1:

 A = [5, -2, 3 , 1, 2]
 B = 3

Input 2:

 A = [1, 2]
 B = 1



Example Output

Output 1:

 8

Output 2:

 2



Example Explanation

Explanation 1:

 Pick element 5 from front and element (1, 2) from back so we get 5 + 1 + 2 = 8

Explanation 2:

 Pick element 2 from end as this is the maximum we can get



NOTE: You only need to implement the given function. Do not read input, instead use the arguments to the function. Do not print the output, instead return values as specified. Still have a question? Checkout Sample Codes for more details.
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