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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.*;

public class Main{
    public static void main(String[] args) {
      Scanner sc = new Scanner(System.in);

      int n=sc.nextInt();

      int ans;

      int[] a = new int[n];

      for(int i=0;i<n;i++){
        a[i]=sc.nextInt();
      }

      int max1=0;
      int max2=0;
      int memo1=0;
      int memo2=0;
/////////////////////////////////////////
      for(int j=0;j<n;j++){
        if(a[j]>max1){
          max1=a[j];
        }
      }
      for(int j=0;j<n;j++){
        if(a[j]==max1){
          memo1 = j;
          a[j] = 0;
          break;
        }
      }
/////////////////////////////////////////
/////////////////////////////////////////
      for(int j=0;j<n;j++){
        if(a[j]>max2){
          max2=a[j];
        }
      }
      for(int j=0;j<n;j++){
        if(a[j]==max2){
          memo2 = j;
        }
      }
/////////////////////////////////////////

      for(int i=0;i<n;i++){
        if(i!=memo1){
          System.out.println(max1);
        }
        else{
          System.out.println(max2);
        }
      }


    }
}