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: Accepted)

# ' 'dで区切ってprintする方法
# print(*a, sep=' ')

import math

n = int(input())
a = []

for i in range(n):
    a_i = int(input())
    a.append(a_i)

max_a = max(a)

if a.count(max_a) == 1:
    b = a.copy()
    b.remove(max_a)
    second_max = max(b)
    for aa in a:

        if aa == max_a:
            print(second_max)
        else:
            print(max_a)
else:
    for i in range(n):
        print(max_a)