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 C (Clang 3.8.0) (judge verdict: Time Limit Exceeded)

# include <stdio.h>

int main(){
  int n;
  scanf("%d",&n);
  
  int a[n+1],b[n+1];
  for(int i=1;i<=n;i++){
    scanf("%d",&a[i]);
    b[i]=i;
  }
  
  for(int i=1;i<=n;i++){
    for(int j=2;j<=n;j++){
      if(a[j]>a[j-1]){
        int s=a[j];
        a[j]=a[j-1];
        a[j-1]=s;
        
        int t=b[j];
        b[j]=b[j-1];
        b[j-1]=t;
      }
    }
  }
  
  for(int i=1;i<=n;i++){
    if(i==b[1]){
      printf("%d\n",a[2]);
    }else{
      printf("%d\n",a[1]);
    }
  }
  
  return 0;
}