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
class ExceptionHandling {
    var $N, $A, $answer;
    
    function __construct() {
        $this->N = trim(fgets(STDIN));
        while($line = trim(fgets(STDIN))) {
            $this->A[] = $line;
        }
    }

    function __invoke() {
        $tmp = $this->A;
        rsort($tmp);
        foreach ($this->A as $v) {
            $this->answer[] = $v === $tmp[0] ? $tmp[1] : $tmp[0];
        }
        return $this->answer;
    }
}

$ExceptionHandling = new ExceptionHandling;
echo implode("\n", $ExceptionHandling());