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: Time Limit Exceeded)

import java.util.Arrays;
import java.util.Collections;
import java.util.Scanner;

public class Main {
	Scanner scan = new Scanner(System.in);
	
	void compute() {
		int N = scan.nextInt();
		int m = 0;
		int n = 0;
		Integer[] t = new Integer[N];
		for(int i=0; i<N; i++) {
			t[i] = scan.nextInt();
			if(m < t[i]) {
				m = t[i];
				n = i;
			}
		}
		for(int i=0; i<N; i++) {
			Arrays.sort(t, Collections.reverseOrder());
			if(n != i) {
				System.out.println(m);
			} else {
				System.out.println(t[1]);
			}
		}
	}

	public static void main(String[] args) {
		new Main().compute();
	}

}