6053번 - Mountain Watching 다국어

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 H_i (1 <= H_i <= 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 H_i 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: H_i

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

The height measurements are 3, 2, 3, 5, 4, 1, 6.

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