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 JavaScript (node.js v5.12) (judge verdict: Wrong Answer)

function main(input) {
  var a = input.split("\n");
  var max = 0;
  var next = 0;
 
  for (var i = 0; i < a.length; i++) {
    if (parseInt(max, 10) < parseInt(a[i], 10)) {
      max = a[i];
      next = max;
    }
  }
 
  for (var j = 1; j < a.length; j++) {
    if (max == a[j]) {
      console.log(next);
    } else {
      console.log(max);
    }
  }
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));