Mountain Watching

Bessie is gazing off toward the beautiful mountains in the distance and wonders: which one is the widest?

She takes $N$ height measurements $H_i$ one after another along the horizon, from left to right.

A mountain is a consecutive block of measurements whose heights first only rise (staying the same is allowed) and then only fall (staying the same is allowed). For example, $2, 3, 3, 5, 4, 4, 1$ is a mountain. A mountain on the edge of her field of view may only rise, or only fall.

The width of a mountain is the number of measurements it spans. Help Bessie find the widest mountain and report its width.

A typical horizon looks like this:

           *******                   *
          *********                 ***
          **********               *****
          ***********           *********               *
*      *****************       ***********             *** *
**    *******************     *************   * *     *******      *
**********************************************************************
?ddsssuussuussssssddddssddssssuuuuuuuuddddddssududssssuuudduddsssssuds
3211112333677777776543332111112344456765432111212111112343232111111211
aaaaa                     cccccccccccccccccccc eeeeeee    ggggggggg
  bbbbbbbbbbbbbbbbbbbbbbbbbbbb             ddddd ffffffffff  hhhhhhhhh

The mountains are labeled 'a', 'b', and so on; here mountain 'b' is the widest, with width 28.

Sometimes it is easiest to find a mountain's width once you know where its highest part is.

Constraints:

• $1 \le N \le 10000$
• $1 \le H_i \le 10^9$

• Line 1: a single integer $N$.
• Lines 2 to $N + 1$: line $i + 1$ contains a single integer $H_i$.

• A single line containing one integer: the width of the widest mountain.

Consider the measurements $3, 2, 3, 5, 4, 1, 6$. The widest mountain is $2, 3, 5, 4, 1$, so its width is $5$. Other mountains include $3, 2$ and $1, 6$. Note that $3, 2, 3$ is not a mountain, because it falls and then rises.