The Little Elephant has got a problem — somebody has been touching his sorted by non-decreasing array a of length n and possibly swapped some elements of the array.

The Little Elephant doesn't want to call the police until he understands if he could have accidentally changed the array himself. He thinks that he could have accidentally changed array a, only if array a can be sorted in no more than one operation of swapping elements (not necessarily adjacent). That is, the Little Elephant could have accidentally swapped some two elements.

Help the Little Elephant, determine if he could have accidentally changed the array a, sorted by non-decreasing, himself.

Input

The first line contains a single integer n (2 ≤ n ≤ 105) — the size of array a. The next line contains n positive integers, separated by single spaces and not exceeding 109, — array a.

Note that the elements of the array are not necessarily distinct numbers.

Output

In a single line print "YES" (without the quotes) if the Little Elephant could have accidentally changed the array himself, and "NO" (without the quotes) otherwise.

Examples

Input

2
1 2


Output

YES


Input

3
3 2 1


Output

YES


Input

4
4 3 2 1


Output

NO

Note

In the first sample the array has already been sorted, so to sort it, we need 0 swap operations, that is not more than 1. Thus, the answer is "YES".

In the second sample we can sort the array if we swap elements 1 and 3, so we need 1 swap operation to sort the array. Thus, the answer is "YES".

In the third sample we can't sort the array in more than one swap operation, so the answer is "NO".

import java.io.BufferedReader;
import java.io.FileNotFoundException;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.Arrays;
import java.util.StringTokenizer;

public class A {

    public static long Mod = 1073741824;

    public static void main(String[] args) {
        try {
            Scanner in = new Scanner();
            // PrintWriter out = new PrintWriter(new FileOutputStream(new File("output.txt")));
            PrintWriter out = new PrintWriter(System.out);
            int n = in.nextInt();
            int []data = new int[n];
            int []temp = new int[n];
            for(int i = 0; i < n; i++){
                data[i] = in.nextInt();
                temp[i] = data[i];
            }
            int val = data[0];
            data[0] = data[n - 1];
            data[n - 1] = val;
            Arrays.sort(data);
            int result  = 0;
            for(int i = 0; i < n; i++){
                if(data[i] != temp[i]){
                    result++;
                }
            }
            if(result <= 2){
                out.println("YES");
            }else{
                out.println("NO");
            }
            out.close();
        } catch (Exception ex) {
            ex.printStackTrace();
        }
    }
    public static class Node implements Comparable<Node> {
        int index, val;

        public Node(int index, int val) {
            this.index = index;
            this.val = val;
        }

        @Override
        public int compareTo(Node o) {
            if(val != o.val){
                return val - o.val;
            }
            return index - o.index;
        }
        
    }

    public static int[][] powSquareMatrix(int[][] A, long p) {
        int[][] unit = new int[A.length][A.length];
        for (int i = 0; i < unit.length; i++) {
            unit[i][i] = 1;
        }
        if (p == 0) {
            return unit;
        }
        int[][] val = powSquareMatrix(A, p / 2);
        if (p % 2 == 0) {
            return mulMatrix(val, val);
        } else {
            return mulMatrix(A, mulMatrix(val, val));
        }

    }

    public static int[][] mulMatrix(int[][] A, int[][] B) {
        int[][] result = new int[A.length][B[0].length];
        for (int i = 0; i < result.length; i++) {
            for (int j = 0; j < result[0].length; j++) {
                long temp = 0;
                for (int k = 0; k < A[0].length; k++) {

                    temp += ((long) A[i][k] * B[k][j] % Mod);
                    temp %= Mod;
                }
                temp %= Mod;
                result[i][j] = (int) temp;
            }
        }

        return result;
    }

    static double dist(Point a, Point b) {
        long total = (a.x - b.x) * (a.x - b.x) + (a.y - b.y) * (a.y - b.y);
        return Math.sqrt(total);
    }

    static class Point implements Comparable<Point> {

        int x, y;

        public Point(int x, int y) {
            this.x = x;
            this.y = y;

        }

        @Override
        public int compareTo(Point o) {
            if (x != o.x) {
                return x - o.x;
            }
            return y - o.y;
        }
    }

    public static boolean nextPer(int[] data) {
        int i = data.length - 1;
        while (i > 0 && data[i] < data[i - 1]) {
            i--;
        }
        if (i == 0) {
            return false;
        }
        int j = data.length - 1;
        while (data[j] < data[i - 1]) {
            j--;
        }
        int temp = data[i - 1];
        data[i - 1] = data[j];
        data[j] = temp;
        Arrays.sort(data, i, data.length);
        return true;
    }

    static class FT {

        int[] data;

        FT(int n) {
            data = new int[n];
        }

        void update(int index, int val) {
            // System.out.println("UPDATE INDEX " + index);
            while (index < data.length) {
                data[index] += val;
                index += index & (-index);

                //    System.out.println("NEXT " +index);
            }
        }

        int get(int index) {
            //  System.out.println("GET INDEX " + index);
            int result = 0;
            while (index > 0) {
                result += data[index];
                index -= index & (-index);
                // System.out.println("BACK " + index);
            }
            return result;
        }
    }

    static int gcd(int a, int b) {
        if (b == 0) {
            return a;
        } else {
            return gcd(b, a % b);
        }
    }

    static int pow(int a, int b) {
        if (b == 0) {
            return 1;
        }
        if (b == 1) {
            return a;
        }
        int val = pow(a, b / 2);
        if (b % 2 == 0) {

            return val * val;
        } else {
            return val * val * a;
        }
    }

//    static Point intersect(Point a, Point b, Point c) {
//        double D = cross(a, b);
//        if (D != 0) {
//            return new Point(cross(c, b) / D, cross(a, c) / D);
//        }
//        return null;
//    }
//
//    static Point convert(Point a, double angle) {
//        double x = a.x * cos(angle) - a.y * sin(angle);
//        double y = a.x * sin(angle) + a.y * cos(angle);
//        return new Point(x, y);
//    }
//    static Point minus(Point a, Point b) {
//        return new Point(a.x - b.x, a.y - b.y);
//    }
//
//    static Point add(Point a, Point b) {
//        return new Point(a.x + b.x, a.y + b.y);
//    }
//
//    static double cross(Point a, Point b) {
//        return a.x * b.y - a.y * b.x;
//
//
//    }
//
//    static class Point {
//
//        int x, y;
//
//        Point(int x, int y) {
//            this.x = x;
//            this.y = y;
//        }
//
//        @Override
//        public String toString() {
//            return "Point: " + x + " " + y;
//        }
//    }
    static class Scanner {

        BufferedReader br;
        StringTokenizer st;

        public Scanner() throws FileNotFoundException {
            //System.setOut(new PrintStream(new BufferedOutputStream(System.out), true));
            br = new BufferedReader(new InputStreamReader(System.in));
            //br = new BufferedReader(new FileReader(new File("input.txt")));
        }

        public String next() {


            while (st == null || !st.hasMoreTokens()) {
                try {
                    st = new StringTokenizer(br.readLine());
                } catch (Exception e) {
                    throw new RuntimeException();
                }
            }
            return st.nextToken();
        }

        public long nextLong() {
            return Long.parseLong(next());
        }

        public int nextInt() {
            return Integer.parseInt(next());
        }

        public double nextDouble() {
            return Double.parseDouble(next());
        }

        public String nextLine() {
            st = null;
            try {
                return br.readLine();
            } catch (Exception e) {
                throw new RuntimeException();
            }
        }

        public boolean endLine() {
            try {
                String next = br.readLine();
                while (next != null && next.trim().isEmpty()) {
                    next = br.readLine();
                }
                if (next == null) {
                    return true;
                }
                st = new StringTokenizer(next);
                return st.hasMoreTokens();
            } catch (Exception e) {
                throw new RuntimeException();
            }
        }
    }
}