13:I[87,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"Header"] 14:I[1742,["736","static/chunks/89fc4f0e-9e200ae6a0166583.js","401","static/chunks/363642f4-32903b9154b7835a.js","153","static/chunks/153-58eddeb032cc4608.js","131","static/chunks/131-05ce00cfd760e12b.js","87","static/chunks/87-b76b60eef573119a.js","286","static/chunks/app/problem/%5Bid%5D/page-45cf3875257fc32e.js"],"ProblemView"] 15:T60f,

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

Coins

Examples