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())
an = []
max_1 = 1
max_2 = 1
count = 1
for i in range(n):
    a = int(input())
    if a > max_1:
        tmp = max_1
        max_1 = a
        count = 1
        max1_index = [i]
        max_2 = tmp
    elif a == max_1:
        count += 1
        max1_index.append(i)
    elif max_1 >  a > max_2:
        max_2 = a
    an.append(a)
    
if count == 1:
    for i in range(n):
        if i in max1_index:
            print(max_2)
        else:
            print(max_1)
else:
    for i in range(n):
        print(max_1)