Problem:
Score : 400 points

Problem Statement

#nck {
width: 30px;
height: auto;
}

You are given a permutation p of the set {1, 2, ..., N}. Please construct two sequences of positive integers a_1, a_2, ..., a_N and b_1, b_2, ..., b_N satisfying the following conditions:

1 \leq a_i, b_i \leq 10^9 for all i

a_1 < a_2 < ... < a_N

b_1 > b_2 > ... > b_N

a_{p_1}+b_{p_1} < a_{p_2}+b_{p_2} < ... < a_{p_N}+b_{p_N}

Constraints

2 \leq N \leq 20,000

p is a permutation of the set {1, 2, ..., N}

Input

The input is given from Standard Input in the following format:

N
p_1 p_2 ... p_N

Output

The output consists of two lines. The first line contains a_1, a_2, ..., a_N seperated by a space. The second line contains b_1, b_2, ..., b_N seperated by a space.

It can be shown that there always exists a solution for any input satisfying the constraints.

Sample Input 1

2
1 2

Sample Output 1

1 4
5 4

a_1 + b_1 = 6 and a_2 + b_2 = 8. So this output satisfies all conditions.

Sample Input 2

3
3 2 1

Sample Output 2

1 2 3
5 3 1

Sample Input 3

3
2 3 1

Sample Output 3

5 10 100
100 10 1

Solution in C# (Mono 4.6.2.0) (judge verdict: Accepted)

using System;
using System.Linq;//リストの使用
using System.Collections.Generic;
class Program
{
	static void Main()
	{
		long n = long.Parse(Console.ReadLine());//long.Parseはstringをlongに変換。
		long[] nums = Array.ConvertAll(Console.ReadLine().Split(' '),long.Parse);
    long[] a = new long[n];
    long[] b = new long[n];
    string answer = "";

    for(long i = 0; i < n; i++)
    {
      a[i] += 20000*i+1;
      b[n-1-i] += 20000*i+1;
      a[nums[i]-1] += i;
    }
/*
    answer = a[0].ToString();
    for(long i = 1; i < n; i++)
    {
      answer += " "+a[i].ToString();
    }
    Console.WriteLine(answer);

    Console.WriteLine(string.Join(" ", a));

    answer = b[0].ToString();
    for(long i = 1; i < n; i++)
    {
      answer += " "+b[i].ToString();
    }
    Console.WriteLine(answer);
    */
    Console.WriteLine(string.Join(" ", a));
    Console.WriteLine(string.Join(" ", b));
	}
}