One day, Bessie was gazing off into the distance at the beautiful Wisconsin mountains when she wondered to herself: which mountain is the widest one?</p>

She decided to take N (1 <= N <= 100,000) equally-spaced 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:

           ***                   
          **                 *
          **               *
          ***           *                     *       ***                  ***     *         ***      *
**
3211112333677777776543332111112344456765432111212111112343232111111211
aaaaaa                   ccccccccccccccccccccc eeeeeee    ggggggggg
  bbbbbbbbbbbbbbbbbbbbbbbbbbbb             ddddd ffffffffff  hhhhhhhhh

The mountains are marked 'a', 'b', etc. Obviously, mountain b is widest with width 28. The mountain on the left has width 6 for the purposes of this task.

입력 형식

• Line 1: A single integer: N
• Lines 2..N+1: Line i+1 contains a single integer: H_i
</ul>

 

출력 형식

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

 

예제 입력

7
3
2
3
5
4
1
6

예제 출력

5

힌트

The height measurements are 3, 2, 3, 5, 4, 1, 6.</p>

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