Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ACM-ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Packets

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou have $$$n$$$ coins, each of the same value of $$$1$$$.

Distribute them into packets such that any amount $$$x$$$ ($$$1 \leq x \leq n$$$) can be formed using some (possibly one or all) number of these packets.

Each packet may only be used entirely or not used at all. No packet may be used more than once in the formation of the single $$$x$$$, however it may be reused for the formation of other $$$x$$$'s.

Find the minimum number of packets in such a distribution.

Input

The only line contains a single integer $$$n$$$ ($$$1 \leq n \leq 10^9$$$) — the number of coins you have.

Output

Output a single integer — the minimum possible number of packets, satisfying the condition above.

Examples

Input

6

Output

3

Input

2

Output

2

Note

In the first example, three packets with $$$1$$$, $$$2$$$ and $$$3$$$ coins can be made to get any amount $$$x$$$ ($$$1\leq x\leq 6$$$).

- To get $$$1$$$ use the packet with $$$1$$$ coin.
- To get $$$2$$$ use the packet with $$$2$$$ coins.
- To get $$$3$$$ use the packet with $$$3$$$ coins.
- To get $$$4$$$ use packets with $$$1$$$ and $$$3$$$ coins.
- To get $$$5$$$ use packets with $$$2$$$ and $$$3$$$ coins
- To get $$$6$$$ use all packets.

In the second example, two packets with $$$1$$$ and $$$1$$$ coins can be made to get any amount $$$x$$$ ($$$1\leq x\leq 2$$$).

Codeforces (c) Copyright 2010-2019 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Mar/22/2019 02:07:54 (f1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|