Score : 200 points
Square1001 has seen an electric bulletin board displaying the integer 1. He can perform the following operations A and B to change this value:
Square1001 needs to perform these operations N times in total. Find the minimum possible value displayed in the board after N operations.
Input is given from Standard Input in the following format:
N K
Print the minimum possible value displayed in the board after N operations.
4 3
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: 1 → 2 → 4 → 7 → 10.
10 10
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: 1 → 2 → 4 → 8 → 16 → 26 → 36 → 46 → 56 → 66 → 76.
By the way, this contest is AtCoder Beginner Contest 076.