#abc076b. [abc076_b]Addition and Multiplication
[abc076_b]Addition and Multiplication
Problem Statement
Square1001 has seen an electric bulletin board displaying the integer . He can perform the following operations A and B to change this value:
- Operation A: The displayed value is doubled.
- Operation B: The displayed value increases by .
Square1001 needs to perform these operations times in total. Find the minimum possible value displayed in the board after operations.
Constraints
- All input values are integers.
Input
Input is given from Standard Input in the following format:
Output
Print the minimum possible value displayed in the board after operations.
Sample Input 1
4
3
Sample Output 1
10
The value will be minimized when the operations are performed in the following order: A, A, B, B.
In this case, the value will change as follows: → → → → .
Sample Input 2
10
10
Sample Output 2
76
The value will be minimized when the operations are performed in the following order: A, A, A, A, B, B, B, B, B, B.
In this case, the value will change as follows: → → → → → → → → → → .
By the way, this contest is AtCoder Beginner Contest 076.