Algae

AtCoder

IDabc127_b

Time2000ms

Memory256MB

Difficulty—

The development of algae in a pond is as follows. Let the total weight of the algae at the beginning of the year $i$ be $x_i$ gram. For $i≥2000$, the following formula holds: * $x_{i+1} = rx_i - D$ You are given $r$, $D$ and $x_{2000}$. Calculate $x_{2001}$, $...$, $x_{2010}$ and print them in order. ## Constraints * $2 ≤ r ≤ 5$ * $1 ≤ D ≤ 100$ * $D < x_{2000} ≤ 200$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $r$ $D$ $x_{2000}$ [samples]

Samples

Input #1

2 10 20

Output #1

30
50
90
170
330
650
1290
2570
5130
10250

For example, $x_{2001} = rx_{2000} - D = 2 \times 20 - 10 = 30$ and $x_{2002} = rx_{2001} - D = 2 \times 30 - 10 = 50$.

Input #2

4 40 60

Output #2

API Response (JSON)

{
  "problem": {
    "name": "Algae",
    "description": {
      "content": "The development of algae in a pond is as follows. Let the total weight of the algae at the beginning of the year $i$ be $x_i$ gram. For $i≥2000$, the following formula holds: *   $x_{i+1} = rx_i - D$",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc127_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "The development of algae in a pond is as follows.\nLet the total weight of the algae at the beginning of the year $i$ be $x_i$ gram. For $i≥2000$, the following formula holds:\n\n*   $x_{i+1} = rx_i - D$...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

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