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.PrintWriter;
import java.util.*;

public class Main {
    PrintWriter out = new PrintWriter(System.out);
    final long mod = 1000000000+7;
    ArrayList<Integer>[] tree;
    long ans = 1;
    int n,k;
    public static void main(String[] args) {
        Main main = new Main();
        System.out.println(main.solve());
    }
    long solve(){
        Scanner sc = new Scanner(System.in);
        int n = sc.nextInt();
        int[] a = new int[n];
        for(int i=0;i<n;i++) a[i] = sc.nextInt();
        int maxVal = -1, maxKey = -1;
        for(int i=0;i<n;i++){
            if(a[i]>maxVal){
                maxVal = a[i];
                maxKey = i;
            }
        }
        int secondVal = -1;
        for(int i=0;i<n;i++){
            if(i==maxKey) continue;
            secondVal = Math.max(a[i],secondVal);
        }
        for(int i=0;i<n;i++){
            if(i!=maxKey) out.println(maxVal);
            else out.println(secondVal);
        }
        out.flush();
        System.exit(0);
        return 0;
    }
}