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.io.File;
import java.io.FileInputStream;
import java.io.IOException;
import java.io.InputStream;
import java.io.PrintStream;
import java.nio.file.Files;
import java.nio.file.Paths;
import java.util.Arrays;
import java.util.Scanner;

public class Main {
	static private int sample = 0;
	static private InputStream in;
	static private PrintStream out;
	static private Scanner sc;
	static {
		if(sample == 0) {
			in = System.in;
			out = System.out;
		}else {
			try {
				in = new FileInputStream(new File("sample"+sample));
				out = new PrintStream("result"+sample);
			} catch (Exception e) {
				e.printStackTrace();
				System.exit(1);
			}
		}
		sc = new Scanner(in);
	}
	static public boolean fileCompare2(String fileA, String fileB) {
		boolean bRet = false;
		try {
			bRet = Arrays.equals(Files.readAllBytes(Paths.get(fileA)), Files.readAllBytes(Paths.get(fileB)));
		} catch (IOException e) {
		}
		return bRet;
	}
	static public void exit() {
		if(sample!=0) {
			out.close();
			String sam = "sample"+sample;
			String ans = "answer"+sample;
			String res = "result"+sample;
			if(fileCompare2(ans, res)) {
				System.out.println("AC");
			}else {
				System.out.println("WA");
				try {
					System.out.println(new String(Files.readAllBytes(Paths.get(ans))));
					System.out.println(new String(Files.readAllBytes(Paths.get(res))));
					System.out.println(new String(Files.readAllBytes(Paths.get(sam))));
				} catch (IOException e) {
				}
			}
		}
		sc.close();
	}
	static public void main(String ...strings ) {
		try {
			final int N = sc.nextInt();
			final int A[] = new int[N];
			int m1 = 0;
			int m2 = 0;
			for(int i=0;i<N;i++) {
				A[i] = sc.nextInt();
				if(m1 <= A[i]) {
					m2 = m1;
					m1 = A[i];
				}else if(m2 < A[i]){
					m2 = A[i];
				}
			}
			for(int i=0;i<N;i++) {
				if(A[i] == m1) {
					out.println(m2);
				}else {
					out.println(m1);
				}
			}
		} finally {
			exit();
		}
	}
}