You have unlimited number of coins with values $1, 2, \ldots, n$. You want to select some set of coins having the total value of $S$.

It is allowed to have multiple coins with the same value in the set. What is the minimum number of coins required to get sum $S$?

Input

The only line of the input contains two integers $n$ and $S$ ($1 \le n \le 100\,000$, $1 \le S \le 10^9$)

Output

Print exactly one integer — the minimum number of coins required to obtain sum $S$.

Note

In the first example, some of the possible ways to get sum $11$ with $3$ coins are:

• $(3, 4, 4)$
• $(2, 4, 5)$
• $(1, 5, 5)$
• $(3, 3, 5)$

It is impossible to get sum $11$ with less than $3$ coins.

In the second example, some of the possible ways to get sum $16$ with $3$ coins are:

• $(5, 5, 6)$
• $(4, 6, 6)$

It is impossible to get sum $16$ with less than $3$ coins.

Samples

5 11

3

6 16

3