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# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;
using System.Collections.Generic;
using System.Text;
using static System.Console;
using static System.Math;

class Program
{
    static void Main(string[] args)
    {
        solve();
    }
    static int N;
    static int[] A;
    static void input()
    {
        N = int.Parse(ReadLine());
        A = new int[N];
        for (int i = 0; i < N; i++)
            A[i] = int.Parse(ReadLine());
    }
    static void solve()
    {
        input();
        int[] maxs = new int[500];

        for(int i = 0; i < N; i++)
        {
            maxs[i / 500] = Max(maxs[i / 500], A[i]);
        }

        for(int i = 0; i < N; i++)
        {
            int max = 0;
            for(int j = 0; j < 500; j++)
            {
                if (j != i / 500)
                    max = Max(max, maxs[j]);
            }
            for(int j = (i / 500) * 500; j < Min(N, (i / 500 + 1) * 500); j++)
            {
                if(i != j)
                    max = Max(max, A[j]);
            }
            WriteLine(max);
        }

    }}