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.*;
import java.util.Collections;

public class Main {

    public static void main(String[] args) {
        Scanner sc = new Scanner(System.in);
        int N = Integer.parseInt(sc.next());
        int[] A = new int[N];
        
        int max = 0;
        int maxidx = 0;
        int secmax = 0;
        int secmaxidx = 0;
        for(int i = 0; i < N; i++) {
            A[i] = Integer.parseInt(sc.next());
            if(A[i] > max) {
                max = A[i];
                maxidx = i;
            }
        }
        
        for(int i = 0; i < N; i++) {
            if(i == maxidx) {
                continue;
            }
            if(A[i] > secmax) {
                secmax = A[i];
                secmaxidx = i;
            }
        }
        
        for(int i = 0; i < N; i++) {
            if(i == maxidx) {
                System.out.println(secmax);
            }else {
                System.out.println(max);
            }
        }
    }
}