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 C# (.NET Core 3.1.201) (judge verdict: Time Limit Exceeded)

using System;
using System.IO;
using System.Linq;
using System.Text;

class Program
{
    static void Main(string[] args) {
        var scan = new Scanner();
        var writer = new StreamWriter(Console.OpenStandardOutput()) {AutoFlush = false};
        Console.SetOut(writer);
        Console.WriteLine(Solve(scan));
        Console.Out.Flush();
    }
    static object Solve(Scanner scan) {
        var N = scan.NextInt();
        var A = new int[N];
        for (int i = 0; i < N; i++) {
            A[i] = scan.NextInt();
        }
        var sb = new StringBuilder();
        var max = A.Max();
        for (int i = 0; i < N; i++) {
            if (A[i] != max) {
                sb.Append(max).AppendLine();
                continue;
            }
            sb.Append(A[..i].Concat(A[(i + 1)..]).Max()).AppendLine();
        }
        return sb.ToString();
    }
}

class Scanner
{
    string[] s;
    int i;

    public Scanner() {
        s = new string[0];
        i = 0;
    }
    public string Next() {
        if (i < s.Length) return s[i++];
        string str = Console.ReadLine();
        while (str == "") str = Console.ReadLine();
        s = str.Split(' ', StringSplitOptions.RemoveEmptyEntries);
        if (s.Length == 0) return Next();
        i = 0;
        return s[i++];
    }
    public int NextInt() => int.Parse(Next());
}