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)

// inputに入力データ全体が入る
function Main(input) {
	// 1行目がinput[0], 2行目がinput[1], …に入る
  input = input.split("\n");

  var n = input[0];
  var n= parseInt(input[0], 10);
//   console.log(input[1]);
  var a = [];

 
for (var i = 0; i < n; i++) {
  var r= parseInt(input[i+1], 10);

    a[i] = r;
}
 //   console.log(a);
  var b = a.concat();
 // console.log(b);
  
  for (var i = 0; i < n; i++) {
 
    a.splice(i, 1 ); 
   // array.splice(1, 1); 
   // console.log(a);
  //   var a = b.concat();
    // console.log(a);
 //   Math.max.apply(null, a);
 //  console.log(Math.max.apply(null, a));
    a.sort(function(a,b){
    return b - a;
               });
  //   console.log(a);
     console.log(a[0]);
   
      var a = b.concat();
  }
  
   
 
  //  var b = a,
       

 
 
     }
     
 //*この行以降は編集しないでください（標準入出力から一度に読み込み、Mainを呼び出します）
  Main(require("fs").readFileSync("/dev/stdin", "utf8"));