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 (7.4.4) (judge verdict: Accepted)

<?php

class Scanner
{
    private $arr = [];
    private $count = 0;
    private $pointer = 0;

    public function next()
    {
        if ($this->pointer >= $this->count) {
            $str = trim(fgets(STDIN));
            $this->arr = explode(' ', $str);
            $this->count = count($this->arr);
            $this->pointer = 0;
        }
        $result = $this->arr[$this->pointer];
        ++$this->pointer;

        return $result;
    }

    public function hasNext()
    {
        return $this->pointer < $this->count;
    }

    public function nextInt()
    {
        return (int) $this->next();
    }

    public function nextDouble()
    {
        return (float) $this->next();
    }
}

$sc = new Scanner();
$n = $sc->nextInt();
$array = [];

for($i=0;$i<$n;$i++){
    $array[] = $sc->nextInt();
}

$maxes   = array_keys($array, max($array));
$key_max = $maxes[0]; //最初に出現した最大値のキー名を返す

rsort($array);
$maximum_value = $array[0];
$second_maximum_value = $array[1];

$array = [];
$array = array_fill(0, $n, $maximum_value);
$array[$key_max] = $second_maximum_value;

for($i=0;$i<$n;$i++){
    echo $array[$i].PHP_EOL;
}