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 PHP7 (7.0.15) (judge verdict: Wrong Answer)

<?php
# 入力
fscanf(STDIN, '%d', $n);
$a = [];
$max = 0;
$max2 = 0;
$max_key = [];
foreach(range(0, $n - 1) as $i) {
    $n = intval(trim(fgets(STDIN)));
    $a[] = $n;
    if ($max < $n) {
        $max2 = $max;
        $max = $n;
        $max_key = [$i];
    } elseif($max === $n) {
        $max_key[] = $i;
    }
}
$cnt_max = count($max_key);
foreach($a as $i => $v) {
    if ($cnt_max === 1 && in_array($i, $max_key)) {
        echo($max2.PHP_EOL);
    } else {
        echo($max.PHP_EOL);
    }
}
?>