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 In = input.split('\n').map(n =>{
    return parseInt(n, 10);
  });
  var N = In[0];
  var index = 2;
  var a = In[2];
  var b = In[1];
  if(N > 2){
    var res = '';
    
    for(var i = 3; i <= N; i++){
      if( a < In[i]){
        a = In[i];
        index = i;
      }
    }
    
    
    for(var x = 1; x < index; x++){
      if(In[x] > a){
        res = res + String(In[x]) + '\n';
      } else {
        res = res + String(a) + '\n';
      }
    }
    
    for(var y = 2; y <= N; y++){
      if(y != index){
        if(b < In[y]){
          b = In[y];
        }
      }
    }
    
    res = res + String(b) + '\n';
    
    for(var z = index + 1; z <=N; z++){
      var c = 0;
      if(a < In[z]){
        c = In[z];
      } else {
        c = a;
      }
      res = res + String(c) + '\n';
    }
    
    console.log(res);
    
  } else {
    res = String(In[1]) + '\n' + String(In[2]);
    console.log(res);
  }
}

Main(require("fs").readFileSync("/dev/stdin", "utf8"));