Kefa decided to make some money doing business on the Internet for exactly n days. He knows that on the i-th day (1 ≤ i ≤ n) he makes a**i money. Kefa loves progress, that's why he wants to know the length of the maximum non-decreasing subsegment in sequence a**i. Let us remind you that the subsegment of the sequence is its continuous fragment. A subsegment of numbers is called non-decreasing if all numbers in it follow in the non-decreasing order.

Help Kefa cope with this task!

Input

The first line contains integer n (1 ≤ n ≤ 105).

The second line contains n integers a1,  a2,  ...,  a**n (1 ≤ a**i ≤ 109).

Output

Print a single integer — the length of the maximum non-decreasing subsegment of sequence a.

Note

In the first test the maximum non-decreasing subsegment is the numbers from the third to the fifth one.

In the second test the maximum non-decreasing subsegment is the numbers from the first to the third one.

Samples

6
2 2 1 3 4 1

3

3
2 2 9

3