The Widest Mountain

Bessie has taken N (\(1 \le N \le 10,000\)) height measurements with her new long-range mountain height gauge while gazing at the beautiful mountains of Wisconsin. Each height measurement is a positive integer \(H_i\) (\(1 \le H_i \le 1,000,000,000\)).

A mountain is defined as a contiguous sequence of measurements that initially is non-decreasing (i.e., increasing or staying the same) and then becomes non-increasing (i.e., decreasing or staying the same). For instance, the sequence:

[ 2,; 3,; 3,; 5,; 4,; 4,; 1 ]

is considered a mountain with a width of 7. Note that even a strictly non-decreasing or strictly non-increasing sequence is considered a mountain. Also, mountains may overlap.

Your task is to help Bessie find the widest mountain in her sequence of measurements.

Example:

Input:  7
        2 3 3 5 4 4 1
Output: 7

inputFormat

The first line contains a single integer N, the number of measurements.

The second line contains N space-separated integers, representing the height measurements \(H_1, H_2, \ldots, H_N\).

outputFormat

Print a single integer representing the width of the widest mountain found in the sequence.

sample

7
2 3 3 5 4 4 1

7