Problems > Compound Doubling

Compound Doubling

Difficulty: 1200 2000 ms 128 MB

math

A balance of B grows by R% COMPOUND interest per year (rounded down to an integer each year). Print how many whole years until the balance is at least 2B.

Input: one line with two integers B and R.

Output: the number of years.

Constraints:

  • 100 ≤ B ≤ 109
  • 1 ≤ R ≤ 100

Sample Tests

Input 1
100 10
Output 1
8
Input 2
1000000000 1
Output 2
70

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