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.
i = int(input())

m = list(map(int, input().split()))

r = []



while len(m):
	new = m[-1]
	n = []
	for i in range(len(m) - 1):
		new = max(new, m[i])
		n.append(min(m[i], m[i + 1]))
	m = n
	r.append(new)
print(*r)
   	  	 				 			 	 			 		 		