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Problems > Bacteria in a Dish

Bacteria in a Dish

Difficulty: 1000 2000 ms 128 MB

math

A colony starts with B bacteria and doubles every hour, but the dish caps the population at C (excess dies immediately). Print the population after H hours.

Input: one line with three integers B, C, H.

Output: min(B·2H, C) computed safely.

Constraints:

  • 1 ≤ B ≤ C ≤ 1018
  • 0 ≤ H ≤ 109

Sample Tests

Input 1
3 100 4
Output 1
48
Input 2
5 20 10
Output 2
20

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