1%

AtCoder

IDabc165_b

Time2000ms

Memory256MB

Difficulty—

Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank. The bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.) Assuming that nothing other than the interest affects Takahashi's balance, in how many years does the balance reach $X$ yen or above for the first time? ## Constraints * $101 \le X \le 10^{18}$ * All values in input are integers. ## Input Input is given from Standard Input in the following format: $X$ [samples]

Samples

Input #1

Output #1

3

*   The balance after one year is $101$ yen.
*   The balance after two years is $102$ yen.
*   The balance after three years is $103$ yen.

Thus, it takes three years for the balance to reach $103$ yen or above.

Input #2

1000000000000000000

Output #2

Input #3

1333333333

Output #3

API Response (JSON)

{
  "problem": {
    "name": "1%",
    "description": {
      "content": "Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank. The bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.) Assumi",
      "description_type": "Markdown"
    },
    "platform": "AtCoder",
    "limit": {
      "time_limit": 2000,
      "memory_limit": 262144
    },
    "difficulty": "None",
    "is_remote": true,
    "is_sync": true,
    "sync_url": null,
    "sign": "abc165_b"
  },
  "statements": [
    {
      "statement_type": "Markdown",
      "content": "Takahashi has a deposit of $100$ yen (the currency of Japan) in AtCoder Bank.\nThe bank pays an annual interest rate of $1$ % compounded annually. (A fraction of less than one yen is discarded.)\nAssumi...",
      "is_translate": false,
      "language": "English"
    }
  ]
}

Full JSON Raw Segments