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)

# coding: utf-8
import sys

n = input()
seq = [int(x) for x in sys.stdin.read().rstrip().split("\n")]
seq_max = max(seq)

# seq_max と同じ値を持つindexを探査
seq_max_indices = []
for i in range(0, len(seq)):
    if seq[i] == seq_max:
        seq_max_indices.append(i)

if len(seq_max_indices) == 1:
    seq_second_max = sorted(seq, reverse=True)[1]
    result = [str(seq_max) for x in range(len(seq))]
    result[seq_max_indices[0]] = str(seq_second_max)
    print("\n".join([str(x) for x in result]))
else:
    print("\n".join([str(seq_max) for x in range(len(seq))]))