CMU - Practice

Start

2018-01-11 21:00 CET

CMU - Practice

End

2018-01-17 23:00 CET
The end is near!
Contest is over.
Not yet started.
Contest is starting in -159 days 15:28:01

Time elapsed

146:00:00

Time remaining

0:00:00

Problem G
3D Printed Statues

/problems/3dprinter/file/statement/en/img-0001.jpg
Picture by Ariosvaldo Gonzáfoles, cc-by

You have a single 3D printer, and would like to use it to produce $n$ statues. However, printing the statues one by one on the 3D printer takes a long time, so it may be more time-efficient to first use the 3D printer to print a new printer. That new printer may then in turn be used to print statues or even more printers. Print jobs take a full day, and every day you can choose for each printer in your possession to have it print a statue, or to have it 3D print a new printer (which becomes available for use the next day).

What is the minimum possible number of days needed to print at least $n$ statues?

Input

The input contains a single integer $n$ ($1 \le n \le 10\, 000$), the number of statues you need to print.

Output

Output a single integer, the minimum number of days needed to print at least $n$ statues.

Sample Input 1 Sample Output 1
1
1
Sample Input 2 Sample Output 2
5
4