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.Scanner;

public class Main {
    public static void main(String[] args) {

        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int[] ARRAY = new int[N];

        int maxIndex = 0;
        int max = 1;
        for (int i=0; i<N; i++) {
            ARRAY[i] = scanner.nextInt();
            if (ARRAY[i] > max) {
                max = ARRAY[i];
                maxIndex = i;
            }
        }

        int[] MAX_ARRAY = new int[N];
        for (int i=0; i<N; i++) {
            if (i == maxIndex) {
                int max2 = 1;
                for (int k=0; k<N; k++) {
                    if (k == i) continue;
                    if (ARRAY[k] > max2) {
                        max2 = ARRAY[k];
                        MAX_ARRAY[i] = max2;
                    }
                }
                continue;
            }
            MAX_ARRAY[i] = max;
        }

        for (int i=0; i<N; i++) {
            System.out.println(MAX_ARRAY[i]);
        }
    }
}