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: Runtime Error)

using System;
using System.Linq;
using System.Collections.Generic;

class Prog{
  static void Main(){
    var capacity = 20;
    var value = 0;
    var a = new List<int>(capacity);
    for (int i = 0; i < capacity; i++) a.Add(value);
    int n = int.Parse(Console.ReadLine());
    int[] ls = Array.ConvertAll(Console.ReadLine().Split(' '), int.Parse);
    int j = 0;
    for (int i = 0;i < n;i++){
      a[i] = i+1;
      if(a[i] != ls[i]){
        j++;
      }
    }
    if(j <= 2){
      Console.WriteLine("YES");
    }else{
      Console.WriteLine("NO");
    }
  }
}