Series Summation

Problem Description

It is known that $S_n = 1 + 1/2 + 1/3 + \dots + 1/n$. Clearly, for any integer $K$, when $n$ is large enough, $S_n$ exceeds $K$.

Given an integer $K$ ($1 \le K \le 15$), find the smallest $n$ such that $S_n > K$.

Input Format

One integer $K$.

Output Format

One integer $n$.

Sample Input

1

Sample Output

2