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: Runtime Error)

n = int(input())
a1 = int(input())
a2 = int(input())
if a[0] >= a[1]:
    maxa1 = a1
    maxa2 = a2
    res = 0
else:
    maxa1 = a2
    maxa2 = a1
    res = 1

for i in range(2, n):
    a_ = int(input())
    if maxa1 <= a_:
        maxa2 = maxa1
        maxa1 = a_
        res = i
    elif maxa2 <= a_:
        maxa2 = a_

for i in range(n):
    if i == res:
        print(maxa2)
    else:
        print(maxa1)