Minimum Combined Power Level

In this problem, you are given n bases with initial power levels p_i for i = 1, 2, \dots, n. At each second, every base increases its power level by exactly 1. After exactly t seconds, the power level of the i-th base becomes p_i + t and the combined power level of all bases is given by:

$$\sum_{i=1}^n (p_i + t) = \left(\sum_{i=1}^n p_i\right) + n \cdot t. $$

Your task is to compute this minimum combined power level after t seconds.

inputFormat

The input is given via standard input (stdin) with the following format:

The first line contains two integers n and t, where n is the number of bases and t is the number of seconds elapsed. The second line contains n space-separated integers indicating the initial power levels of each base.

outputFormat

Output a single integer representing the minimum combined power level of all bases after t seconds. The result should be printed to standard output (stdout).## sample

3 5
6 8 12

41