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 PHP (5.6.30) (judge verdict: Accepted)

<?php
$n = trim(fgets(STDIN));

$arr = [];
for ($i = 0; $i < $n; $i++) {
     $arr[$i] = trim(fgets(STDIN));
}

arsort($arr);
$max = [];
$i = 0;
foreach ($arr as $key => $value) {
    if($i === 2) break;
    
    $max[$i]['key'] = $key;
    $max[$i]['value'] = $value;
    $i++;
}

for ($i = 0; $i < $n; $i++) {
    if($i === $max[0]['key']) {
        echo $max[1]['value'] . "\n";
    } else {
        echo $max[0]['value'] . "\n";
    }
}