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: Time Limit Exceeded)

using System;

class Program
{
    static void Main(string[] args) {
        String ret;
        ret = process(new System.IO.StreamReader(Console.OpenStandardInput()));
        //ret = process("20 4");

        //Console.WriteLine(ret);
        //Console.ReadLine();
    }

    static string process(System.IO.TextReader input) {
        int n   = int.Parse(input.ReadLine());
        int[] a = new int[n];
        for(int i=0; i<n; i++) {
            a[i] = int.Parse(input.ReadLine());
        }

        for(int i=0; i<n; i++) {
            int max = 0;
            for(int j=0; j<n; j++) {
                if (i != j && a[j] > max) max = a[j];
            }
            Console.WriteLine(max);
        }
        return null;
    }

    static string process(string input) {
        return process(new System.IO.StringReader(input));
    }
}