Limak's Wish
Problem
Bear Limak wants to become larger than his brother Bob. Limak and Bob weigh a and b respectively.
Limak's weight is tripled after every year, while Bob's weight is doubled after every year.
After how many full years will Limak become strictly larger (strictly heavier) than Bob?
Input
- The only line of the input contains two integers a and b (1 ≤ a ≤ b ≤ 10) — the weight of Limak and the weight of Bob respectively.
Output
- Print one integer, denoting the number of years.
Constraints
- 1 ≤ a ≤ 10
- 1 ≤ b ≤ 10
- a ≤ b
Time Limit: 0.3
Memory Limit: 256
Source Limit:
Explanation
after first year their weights will be 43 = 12 and 92 =18. after 2nd year their weights will be 123 = 36 and 182 = 36. after 3 years limak will be 108 and Bob will be 72
