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*<sub class="lower-index">*i*</sub> money. Kefa loves progress, that's why he wants to know the length of the maximum non-decreasing subsegment in sequence *a*<sub class="lower-index">*i*</sub>. 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!
The first line contains integer *n* (1 ≤ *n* ≤ 10<sup class="upper-index">5</sup>).

The second line contains *n* integers *a*<sub class="lower-index">1</sub>,  *a*<sub class="lower-index">2</sub>,  ...,  *a*<sub class="lower-index">*n*</sub> (1 ≤ *a*<sub class="lower-index">*i*</sub> ≤ 10<sup class="upper-index">9</sup>).
def binary_search(nums, target):
    left, right = 0, len(nums) - 1
    while left <= right:
        mid = (left + right) // 2
        if nums[mid] == target:
            return mid
        elif nums[mid] < target:
            left = mid + 1
        else:
            right = mid - 1
    return left

n = int(input())
money = list(map(int, input().split()))

lis = [money[0]]
for i in range(1, n):
    if money[i] >= lis[-1]:
        lis.append(money[i])
    else:
        idx = binary_search(lis, money[i])
        lis[idx] = money[i]

print(len(lis))