Problem Statement

Given an array A , representing seats in each row of a stadium. You need to sell tickets to B people.

Each seat costs equal to the number of vacant seats in the row it belongs to. The task is to maximize the profit by selling the tickets to B people.

Problem Constraints

1 <= |A| <= 100000

1 <= B <= 1000000

Input Format

First argument is the array A.

Second argument is integer B.

Output Format

Return one integer, the answer to the problem.

Example Input

Input 1:

A = [2, 3]
B = 3

Input 2:

A = [1, 4]
B = 2

Example Output

Output 1:

7

Output 2: