In this problem you will meet the simplified model of game King of Thieves.

In a new ZeptoLab game called "King of Thieves" your aim is to reach a chest with gold by controlling your character, avoiding traps and obstacles on your way. [Image]

An interesting feature of the game is that you can design your own levels that will be available to other players. Let's consider the following simple design of a level.

A dungeon consists of n segments located at a same vertical level, each segment is either a platform that character can stand on, or a pit with a trap that makes player lose if he falls into it. All segments have the same length, platforms on the scheme of the level are represented as '*' and pits are represented as '.'.

One of things that affects speedrun characteristics of the level is a possibility to perform a series of consecutive jumps of the same length. More formally, when the character is on the platform number i_1, he can make a sequence of jumps through the platforms i_1 < i_2 < ... < i_{k}, if i_2 - i_1 = i_3 - i_2 = ... = i_{k} - i_{k} - 1. Of course, all segments i_1, i_2, ... i_{k} should be exactly the platforms, not pits.

Let's call a level to be good if you can perform a sequence of four jumps of the same length or in the other words there must be a sequence i_1, i_2, ..., i_5, consisting of five platforms so that the intervals between consecutive platforms are of the same length. Given the scheme of the level, check if it is good.

-----Input-----

The first line contains integer n (1 ≤ n ≤ 100) — the number of segments on the level.

Next line contains the scheme of the level represented as a string of n characters '*' and '.'.

-----Output-----

If the level is good, print the word "yes" (without the quotes), otherwise print the word "no" (without the quotes).

-----Examples-----

Input 16 .....*.**.

Output yes Input 11 .......

Output no

-----Note-----

In the first sample test you may perform a sequence of jumps through platforms 2, 5, 8, 11, 14.