Addition and Multiplication

AtCoder

IDabc076_b

Time2000ms

Memory256MB

Difficulty—

Square1001 has seen an electric bulletin board displaying the integer $1$. 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 $K$. Square1001 needs to perform these operations $N$ times in total. Find the minimum possible value displayed in the board after $N$ operations. ## Constraints * $1 \leq N, K \leq 10$ * All input values are integers. ## Input Input is given from Standard Input in the following format: $N$ $K$ [samples]

Samples

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.

API Response (JSON)

{
  "problem": {
    "name": "Addition and Multiplication",
    "description": {
      "content": "Square1001 has seen an electric bulletin board displaying the integer $1$. He can perform the following operations A and B to change this value: *   Operation A: The displayed value is doubled. *   O",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc076_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Square1001 has seen an electric bulletin board displaying the integer $1$. He can perform the following operations A and B to change this value:\n\n*   Operation A: The displayed value is doubled.\n*   O...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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