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.

Examples

Input

5
5 2 3 4 1


Output

YES


Input

5
2 4 3 5 1


Output

NO


Input

7
1 2 3 4 5 6 7


Output

YES
/*
	submission # - User: herp_sy
	https://atcoder.jp/contests/
*/

import java.util.*;
import java.util.Collections; // sorting use
import java.io.*;
import static java.lang.System.*;

public class Main{
	public static void main(String[] args){
		int n;
		int cnt = 0;
		ArrayList<Integer> p = new ArrayList<Integer>(53);
		Scanner sc = new Scanner(System.in);

		p.add(0);
		n = sc.nextInt();
		for (int i = 1; i <= n; ++i) {
			p.add(sc.nextInt());
			if(p.get(i) != i)	++cnt;
		}
		if(cnt >= 3)	out.println("NO");
		else out.println("YES");
	}
}
