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
  fscanf(STDIN, "%d", $n);
  $a = [];
  $max = -1;
  $second_max = -1;
  for ($i=0; $i<$n; $i++) {
    fscanf(STDIN, "%d", $a_);
    $a[] = $a_;
    
    # マックス値と次に大きな値を保存しておく
    if ($a_ > $max) {
      $second_max = $max;
      $max = $a_;
    } else if ($a_ > $second_max) {
      $second_max = $a_;
    }
  }

  # マックス値と同じなら次に大きな値を出力 
  # そうでないならマックス値
  for ($i=0; $i<$n; $i++) {
    if ($a[$i] == $max) echo $second_max . "\n";
    else echo $max . "\n";
  }
?>