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: Accepted)

<?php
# C - Exception Handling

fscanf(STDIN, "%d", $N);

$max = 0;
$second = 0;
$array = [];
for ($i = 1; $i <= $N; $i++) {
    fscanf(STDIN, "%d", $a);
    $array[] = $a;
    if ($max < $a) {
        $second = $max;
        $max = $a;
    } elseif ($second < $a) {
        $second = $a;
    }
}

for ($i = 0; $i < $N; $i++) {
    if ($max == $array[$i]) {
        echo $second . PHP_EOL;
        continue;
    }
    echo $max . PHP_EOL;
}