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);
		// 整数の入力
		int n = sc.nextInt();
      
        int[] a = new int[n];
        for(int i = 0 ; i < n; i++) {
          a[i] = sc.nextInt();
          
        }
      
      int max1 = 0;
      int max2 = 0;
      int idx = 0;
      for(int i = 0; i < n; i++) {
        if(a[i] > max2) {
          max2 = a[i];
        }
        if(a[i] > max1) {
          max2 = max1;
          max1 = a[i];
          idx = i;
        }
      }
      
      for(int i = 0; i < n ; i++ ) {
        if(i == idx) {
          System.out.println(max2);
        } else {
          System.out.println(max1);
        }
      }
          
    
    }
}