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)

def returnsecond(numbers, N):
    first = 0
    firc = 0;
    second = 0
    for j in range(N):
        if first < numbers[j]:
            first = numbers[j]
            firc = j
    for j in range(N):
        if(j != firc and second < numbers[i]):
            second = numbers[i]

    return first, second;


numbers = []
N = int(input())

for i in range(N):
    numbers.append(int(input()))
first, second = returnsecond(numbers, N)

for i in range(N):
    if numbers[i] != first:
        print(first)
    else:
        print(second)