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 Java8 (OpenJDK 1.8.0) (judge verdict: Accepted)

import java.util.Arrays;
import java.util.Scanner;

public class Main {
    public static void main(String[] args) {

        Scanner scanner = new Scanner(System.in);
        int N = scanner.nextInt();
        int[] p = new int[N];

        for (int i=0; i<N; i++) {
            p[i] = scanner.nextInt();
        }


        for (int i=0; i<N; i++) {
            for (int j=0; j<N; j++) {
                int[] coPy = Arrays.copyOf(p, p.length);
                int tmp = coPy[i];
                coPy[i] = coPy[j];
                coPy[j] = tmp;
                if (isOrderedAsc(coPy)) {
                    System.out.println("YES");
                    return;
                }
            }
        }

        System.out.println("NO");
    }

    private static boolean isOrderedAsc(int[] p) {
        for (int i=0; i<p.length - 1; i++) {
            if (p[i] > p[i+1]) return false;
        }
        return true;
    }
}