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: Runtime Error)

// 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 = Number(input[0]);
  input.shift();
  var MaxNum = Math.max.apply(null, input);
  var hasMaxNum = 0;
  var subMaxNum = 0;
  
  for(var j = 0; j < N; j++){
    if(subMaxNum < input[j] && input[j] != MaxNum){
      subMaxNum = input[j];
    }
    if(Number(input[j]) == MaxNum && hasMaxNum < 2){
      hasMaxNum = hasMaxNum + 1;
    }
  }

  for(var i = 0; i < N; i++){
    if(Number(input[i]) != MaxNum){
      console.log(MaxNum);
    }
    else{
      if(hasMaxNum == 2){
        console.log(MaxNum);
      }
      else{
        console.log(subMaxNum);
      }
    }
  }
  
 }
 //*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"));