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.Arrays;
import java.util.Scanner;
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];
		int[] buff = new int[N];
		for(int i=0;i<N;i++) {
			a[i] = sc.nextInt();
		}
		buff = a.clone();
		Arrays.sort(buff);
		int max = buff[N-1];
		int sMax=max;
		for(int i=N-2;i>=0;i--) {
			if(buff[i]!=max) {
				sMax = buff[i];
				break;
			}
		}

		for(int i=0;i<N;i++) {
			//System.out.print(a[i]);
			if(a[i] == max) {
				System.out.println(sMax);
			}else {
				System.out.println(max);
			}
		}


	}
}