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: Time Limit Exceeded)

"use strict"
function main(arg) {
    //とりあえず行を分割
    var input = arg.split("\n");
    var retu = input[0];
    var kazu = [];
    for(var i = 1; retu >= i ;i++){
        kazu.push(input[i]);
    }

//X番目を抜いた中で一番大きいやつを求める
for (var x = 0, len = kazu.length; x < len; ++x) {
  var kazu2 = kazu.slice(0, kazu.length);
  kazu2.splice(x, 1);
 
var half_length = Math.ceil(kazu2.length / 2);    
var leftSide = kazu2.splice(0,half_length);

var kazu1 = Math.max.apply(null, leftSide);
var kazu2 = Math.max.apply(null, kazu2);

if(kazu1 > kazu2){
console.log(kazu1);
}else if(kazu1== kazu2){
    console.log(kazu1);
}else{
       console.log(kazu2);
}
}
    
}
main(require('fs').readFileSync('/dev/stdin', 'utf8'));