Problem:
Score : 600 points

Problem Statement

Given are two integer sequences of N elements each: A_1,...,A_N and B_1,...,B_N.
Determine if it is possible to do the following operation at most N-2 times (possibly zero) so that, for every integer i from 1 to N, A_i \leq B_i holds:

Choose two distinct integers x and y between 1 and N (inclusive), and swap the values of A_x and A_y.

Constraints

2 \leq N \leq 10^5

1 \leq A_i,B_i \leq 10^9

Input

Input is given from Standard Input in the following format:

N
A_1 A_2 ... A_N
B_1 B_2 ... B_N

Output

If the objective is achievable, print Yes; if it is not, print No.

Sample Input 1

3
1 3 2
1 2 3

Sample Output 1

Yes

We should swap the values of A_2 and A_3.

Sample Input 2

3
1 2 3
2 2 2

Sample Output 2

No

Sample Input 3

6
3 1 2 6 3 4
2 2 8 3 4 3

Sample Output 3

Yes

Solution in C# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

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

namespace C_NK2
{
    class MainClass
    {

        static int[] n;
        static long[] a, b;

        public static void Main(string[] args)
        {
            n = Array.ConvertAll(ReadLine().Split().ToArray(), int.Parse);
            a = Array.ConvertAll(ReadLine().Split().ToArray(), long.Parse);
            b = Array.ConvertAll(ReadLine().Split().ToArray(), long.Parse);


            var ail = new List<long[]>();
            for (int i = 0; i < n[0]; i++)
            {
                long[] item = new long[] { a[i], i };
                ail.Add(item);
            }
            var al = a.ToList();
            var bl = b.ToList();
            var sail = ail.OrderBy(a => a[0]).ToList();
            bl.Sort();

            bool isOK = false;
            for (int i = 0; i < n[0]; i++)
            {
                if (sail[i][0] > bl[i])
                {
                    WriteLine("No");
                    return;
                }
                else if (b[sail[i][1]] == bl[i])
                {
                    isOK = true;

                }
            }
            if (isOK)
            {
                WriteLine("Yes");
            }
            else
            {
                WriteLine("No");
            }



        }
    }
}