Mike is the president of country What-The-Fatherland. There are *n* bears living in this country besides Mike. All of them are standing in a line and they are numbered from 1 to *n* from left to right. *i*-th bear is exactly *a*<sub class="lower-index">*i*</sub> feet high. 

A group of bears is a non-empty contiguous segment of the line. The size of a group is the number of bears in that group. The strength of a group is the minimum height of the bear in that group.

Mike is a curious to know for each *x* such that 1 ≤ *x* ≤ *n* the maximum strength among all groups of size *x*.
The first line of input contains integer *n* (1 ≤ *n* ≤ 2 × 10<sup class="upper-index">5</sup>), the number of bears.

The second line contains *n* integers separated by space, *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>), heights of bears.
def max_strength(n, heights):
    left = [0] * n
    right = [0] * n
    result = [0] * n

    # Initialize stacks
    stack = []

    # Find the left limits for each height
    for i in range(n):
        while stack and heights[stack[-1]] >= heights[i]:
            stack.pop()
        left[i] = stack[-1] if stack else -1
        stack.append(i)

    # Clear the stack for the next iteration
    stack = []

    # Find the right limits for each height
    for i in range(n - 1, -1, -1):
        while stack and heights[stack[-1]] >= heights[i]:
            stack.pop()
        right[i] = stack[-1] if stack else n
        stack.append(i)

    # Find the maximum strength for each group size
    for i in range(n):
        group_size = right[i] - left[i] - 1
        result[group_size - 1] = max(result[group_size - 1], heights[i])

    # Fill the remaining values in the result
    for i in range(n - 1, 0, -1):
        result[i - 1] = max(result[i - 1], result[i])

    return result


# Read input
n = int(input().strip())
heights = list(map(int, input().split()))

# Calculate and print the result
print(*max_strength(n, heights))