Description

Xiaoming is playing a game, and it is known that he can earn $n$ experience points by completing it every minute. If he completes it, he will need $m$ 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 $n$ and $m$.

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

$1＜n＜m≤10^9$

For 100% of the data

$0≤n＜m≤2147483647$

Source:

luogu U454293