Paint Can Calculator

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

An integer area $A$ needs painting. One can covers at most $C$ area units, and cans cannot be purchased fractionally. Find the minimum number of cans using integer arithmetic.

Input

One line containing positive integers $A,C$.

Output

Print the minimum whole number of cans.

Subtask

• Subtask 1 — 100 points: $1\le A,C\le10^9$.

Example

Input

101 10

Output

11

Explanation

Ten cans cover only $100$ area units, so one more is required. $(101+10-1)//10=11$.