Problem:
Score : 300 points

Problem Statement

You are given a sequence of length N: A_1, A_2, ..., A_N.
For each integer i between 1 and N (inclusive), answer the following question:

Find the maximum value among the N-1 elements other than A_i in the sequence.

Constraints

2 \leq N \leq 200000

1 \leq A_i \leq 200000

All values in input are integers.

Input

Input is given from Standard Input in the following format:

N
A_1
:
A_N

Output

Print N lines. The i-th line (1 \leq i \leq N) should contain the maximum value among the N-1 elements other than A_i in the sequence.

Sample Input 1

3
1
4
3

Sample Output 1

4
3
4

The maximum value among the two elements other than A_1, that is, A_2 = 4 and A_3 = 3, is 4.

The maximum value among the two elements other than A_2, that is, A_1 = 1 and A_3 = 3, is 3.

The maximum value among the two elements other than A_3, that is, A_1 = 1 and A_2 = 4, is 4.

Sample Input 2

2
5
5

Sample Output 2

5
5

Solution in Python (3.4.3) (judge verdict: Accepted)

n = int(input())
a = [int(input()) for _ in range(n)]

left = [0] * n
for i in range(n):
    if i == 0:
        left[i] = a[i]
    else:
        left[i] = max(left[i - 1], a[i])

right = [0] * n
for i in range(n - 1, -1, -1):
    if i == n - 1:
        right[i] = a[i]
    else:
        right[i] = max(right[i + 1], a[i])

for i in range(n):
    if i == 0:
        print(right[1])
    elif i == n - 1:
        print(left[n - 2])
    else:
        print(max(left[i - 1], right[i + 1]))