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: Wrong Answer)

n = int(input())
a = [0] * n
for i in range(n):
    a[i] = int(input())

b = a[::-1]

amax = [0] * n
bmax = [0] * n

amax[0] = a[0]
bmax[0] = b[0]
for i in range(1, n):
    amax[i] = max(amax[i-1], a[i])
    bmax[i] = max(bmax[i-1], b[i])

bmax = bmax[::-1]

print(bmax[1])
for i in range(1, n-1):
    print(max(amax[i-1], bmax[i+1]))
print(amax[n-1])