#P1100. 打游戏

打游戏

Description

Xiaoming is playing a game, and it is known that he can earn nn experience points by completing it every minute. If he completes it, he will need mm experience points. So please help him calculate how long it will take for Xiaoming to clear the level at least?

Format

Input

There is a line of input with 2 positive integers nn and mm.

Output

The output only has one integer, indicating how many minutes it takes for Xiaoming to clear the level.

500 1005
3
3 10
4
1020 1321145
1296

Hint

Data Range

For 50% of the data

1nm1091<n<m≤10^9

For 100% of the data

0nm21474836470≤n<m≤2147483647

Source:

luogu U454293