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 (3.8.2) (judge verdict: Wrong Answer)

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

if n == 2:
    print(a[1])
    print(a[0])
    exit()

first, second = 0, 0
for i in range(1, n):
    if a[i] > second and a[i] != first:
        if a[0] > first:
            second = first
            first = a[i]
        else:
            second = a[i]

print(first)

if a[0] > second:
    if a[0] > first and a[i] != first:
        second = first
        first = a[0]
    else:
        second = a[0]

for i in range(1, n):
    if first == a[i]:
        print(second)
    else:
        print(first)