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)

function Main(input){
	var tmp = input.split('\n');
  var N = Number(tmp.shift());
  tmp.pop();
  var D = tmp.map(a=>Number(a));
  var arr = [];
  for(var i=0;i<N;i++){
    var tmp = D.filter((a,b,c)=>b!=i);
    arr.push(tmp.reduce((a,b)=>a>b?a:b));
  }
  for(var i=0;i<N;i++){
    console.log(arr[i]);
  }
}
Main(require('fs').readFileSync('/dev/stdin', 'utf8'));