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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

    import java.io.FileNotFoundException;
    import java.util.Arrays;
    import java.util.Scanner;
     
    public class Main {
    	public static void main(String[] args) throws FileNotFoundException {
     
    		//    	File file = new File("src/in.txt");
    		//    	Scanner sc = new Scanner(file);
     
    		Scanner sc = new Scanner(System.in);
     
    		int N = sc.nextInt();
    		int[] A = new int[N];
    		for(int i=0;i<N;i++) {
    			A[i] = Integer.parseInt(sc.next());
    		}
    		sc.close();
    		int[] B = A.clone();
    		Arrays.sort(B);
    		int max = B[N-1];
    		int nextmax = B[N-2];
    		for(int i=0;i<N;i++) {
    			if(A[i]==max) {
    				System.out.println(nextmax);
    			} else {
    				System.out.println(max);
    			}
    		}
    	}
    }