One day, Bessie was gazing off into the distance at the beautiful Wisconsin mountains when she wondered to herself: which is the widest one?
She decided to take N (1 <= N <= 10,000) height measurements (1 <= <= 1,000,000,000) sequentially along the horizon using her new Acme Long Distance Geoaltimeter.
A mountain is defined to be a consecutive sequence of values which increases (or stays the same) and then decreases (or stays the same), e.g., 2, 3, 3, 5, 4, 4, 1. It is possible for a mountain on the edge of her field of vision only to increase or only to decrease in height, as well.
The width of a mountain is the number of measurements it encompasses. Help Bessie identify the widest mountain.

Here's a simple example of a typical horizon:
           *******                   *
          *********                 ***
          **********               *****
          ***********           *********               *
*      *****************       ***********             *** *
**    *******************     *************   * *     *******      *
**********************************************************************
?ddsssuussuussssssddddssddssssuuuuuuuuddddddssududssssuuudduddsssssuds
3211112333677777776543332111112344456765432111212111112343232111111211
aaaaa                     cccccccccccccccccccc eeeeeee    ggggggggg
  bbbbbbbbbbbbbbbbbbbbbbbbbbbb             ddddd ffffffffff  hhhhhhhhh
The mountains are marked 'a', 'b', etc.  Obviously, mountain b is widest with width 28.

Hint: Sometimes it's easiest to find a mountain's width by knowing where its highest parts are.

* Line 1: A single integer: N
* Lines 2..N+1: Line i+1 contains a single integer: 

* Line 1: A single line with a single integer that is the width of the widest mountain.

7
3
2
3
5
4
1
6

5

The widest mountain consists of the measurements 2, 3, 5, 4, 1. Other mountains include 3, 2 and 1, 6