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: Accepted)

using System;
using System.Linq;

namespace ABC
{
    using System.Collections.Generic;
    using System.Runtime.InteropServices;
#if USE_STUB
    using static Stub.Console;
#else
    using static System.Console;
#endif
    using static System.Math;
    public class Program
    {
        static void Main(string[] args)
        {
            WriteLine(Solve());
        }

        static object Solve()
        {
            var N = int.Parse(ReadLine());
            var Pn = ReadLine().Split().Select(int.Parse).ToArray();
            var s = Pn.OrderBy(x => x).ToArray();
            if (Pn.Zip(s, (n, i) => new { n, i }).Count(x => x.n != x.i) > 2)
                return "NO";
            return "YES";
        }
    }
}