AtCoder Beginner Contest 076
B
Addition and Multiplication
AtCoder
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原题
← AC →
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Problem Statement

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Square1001 has seen an electric bulletin board displaying the integer $1$. He can perform the following operations A and B to change this value:

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  • Operation A: The displayed value is doubled.
  • Operation B: The displayed value increases by $K$.
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Square1001 needs to perform these operations $N$ times in total. Find the minimum possible value displayed in the board after $N$ operations.

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Constraints

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  • $1 \leq N, K \leq 10$
  • All input values are integers.
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Input

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Input is given from Standard Input in the following format:

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N
K

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Output

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Print the minimum possible value displayed in the board after $N$ operations.

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样例

Input #1
4
3
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: $1$ → $2$ → $4$ → $7$ → $10$.
Input #2
10
10
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: $1$ → $2$ → $4$ → $8$ → $16$ → $26$ → $36$ → $46$ → $56$ → $66$ → $76$. By the way, this contest is AtCoder Beginner Contest 076.
题目信息
题号
abc076_b
时间限制
2 s
内存限制
256 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。