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.Scanner;
 
public class Main {
	public void solve() {
		Scanner in = new Scanner(System.in);
		int N = in.nextInt();
		int[] n = new int[N];
		for (int i=0; i<N; i++) {
			n[i] = in.nextInt();
		}
		in.close();
		
		int tIndex = 0;
		int sIndex = 0;
		
		if (n[0] < n[1]) {
			tIndex = 1;
			sIndex = 0;
		} else {
			tIndex = 0;
			sIndex = 1;
		}
		
		for (int i=2; i<N; i++) {
			if (n[tIndex] < n[i]) {
				sIndex = tIndex;
				tIndex = i;
			} else if (n[sIndex] < n[i]) {
				sIndex = i;
			}
		}
		
		for (int i=0; i<N; i++) {
			if (i==tIndex) {
				System.out.println(n[sIndex]);
			} else {
				System.out.println(n[tIndex]);
			}
		}
	}
	
	public static void main(String[] args) {
		Main main = new Main();
		main.solve();
	}
 
}