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: Wrong Answer)

import java.util.Scanner;
public class Main {

    public static void main(String[] args){
    	Scanner sc = new Scanner(System.in);
    	// 入力
    	int n = sc.nextInt();

    	int d[] = new int[n];
    	int max = 0;
    	int subMax = 0;

    	for (int i = 0; i < n; i++){
    		d[i] = sc.nextInt();
    		if (i > 0){
    			if (max <= d[i]){
            		max = d[i];
    			} else if (subMax < d[i]){
    				subMax = d[i];
    			}

    		} else {
    			max = d[i];
    			subMax = d[i];
    		}
    	}


    	for (int j = 0; j < n; j++){
    		if (d[j] == max){
    	    	// 出力
    	    	System.out.println(subMax);
    		} else {
    	    	// 出力
    	    	System.out.println(max);
    		}
    	}
    }
}