Problem:
Score : 200 points

Problem Statement

We have a sequence p = {p_1,\ p_2,\ ...,\ p_N} which is a permutation of {1,\ 2,\ ...,\ N}.

You can perform the following operation at most once: choose integers i and j (1 \leq i < j \leq N), and swap p_i and p_j. Note that you can also choose not to perform it.

Print YES if you can sort p in ascending order in this way, and NO otherwise.

Constraints

All values in input are integers.

2 \leq N \leq 50

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

Input

Input is given from Standard Input in the following format:

N
p_1 p_2 ... p_N

Output

Print YES if you can sort p in ascending order in the way stated in the problem statement, and NO otherwise.

Sample Input 1

5
5 2 3 4 1

Sample Output 1

YES

You can sort p in ascending order by swapping p_1 and p_5.

Sample Input 2

5
2 4 3 5 1

Sample Output 2

NO

In this case, swapping any two elements does not sort p in ascending order.

Sample Input 3

7
1 2 3 4 5 6 7

Sample Output 3

YES

p is already sorted in ascending order, so no operation is needed.

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

using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;

class Program
{

    static void Main(string[] args)
    {
        int N = GetInputInt();
        int[] P = GetInputsInt();

        int count = 0;
        for (int i = 0; i < N; i++)
        {
            if (i != P[i])
            {
                count++;

                if (count > 3)
                {
                    Console.WriteLine("NO");
                    return;
                }
            }
        }

        Console.WriteLine("YES");


    }

    

    public static int GetInputInt()
    {
        return int.Parse(Console.ReadLine());
    }
    public static int[] GetInputsInt()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToArray();
    }
    public static List<int> GetInputsIntList()
    {
        return Console.ReadLine().Split(' ').Select(int.Parse).ToList();
    }
    public static long GetInputLong()
    {
        return long.Parse(Console.ReadLine());
    }
    public static long[] GetInputsLong()
    {
        return Console.ReadLine().Split(' ').Select(long.Parse).ToArray();
    }

}