Mezo Playing Zoma

Today, Mezo is playing a game. Zoma, a character in that game, is initially at position x = 0. Mezo starts sending n commands to Zoma. There are two possible commands:

• 'L' (Left) sets the position x: =x - 1;
• 'R' (Right) sets the position x: =x + 1.

Unfortunately, Mezo's controller malfunctions sometimes. Some commands are sent successfully and some are ignored. If the command is ignored then the position x doesn't change and Mezo simply proceeds to the next command.

For example, if Mezo sends commands "LRLR", then here are some possible outcomes (underlined commands are sent successfully):

• "LRLR" — Zoma moves to the left, to the right, to the left again and to the right for the final time, ending up at position 0;
• "LRLR" — Zoma recieves no commands, doesn't move at all and ends up at position 0 as well;
• "LRLR" — Zoma moves to the left, then to the left again and ends up in position -2.

Mezo doesn't know which commands will be sent successfully beforehand. Thus, he wants to know how many different positions may Zoma end up at.

Input

The first line contains n (1 ≤ n ≤ 10^5) — the number of commands Mezo sends.

The second line contains a string s of n commands, each either 'L' (Left) or 'R' (Right).

Output

Print one integer — the number of different positions Zoma may end up at.

Example

Input

4 LRLR

Output

5

Note

In the example, Zoma may end up anywhere between -2 and 2.

inputFormat

Input

The first line contains n (1 ≤ n ≤ 10^5) — the number of commands Mezo sends.

The second line contains a string s of n commands, each either 'L' (Left) or 'R' (Right).

outputFormat

Output

Print one integer — the number of different positions Zoma may end up at.

Example

Input

4 LRLR

Output

5

Note

In the example, Zoma may end up anywhere between -2 and 2.

样例

4
LRLR

5

</p>