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 Java (OpenJDK 11.0.6) (judge verdict: Accepted)

import java.io.*;
// import java.math.*;
// import java.util.*;
// import java.util.Map.*;
// import java.util.stream.*;

public class Main {
    public static void main (String[] args) throws IOException {
        FastScanner sc = new FastScanner();
        final int N = sc.nextInt();
        int[] p = sc.intArray (N);
        int cnt = 0;
        for (int i = 0; i < N; i++)
            if (p[i] != i + 1)
                cnt++;
        System.out.println (cnt <= 2 ? "YES" : "NO");
        return;
    }

    // FastScanner start
    static class FastScanner {
        final private int BUFFER_SIZE = 1 << 16;
        private DataInputStream din;
        private byte[] buffer;
        private int bufferPointer, bytesRead;
        public FastScanner() {
            din = new DataInputStream (System.in);
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }
        public FastScanner (String file_name) throws IOException {
            din = new DataInputStream (new FileInputStream (file_name));
            buffer = new byte[BUFFER_SIZE];
            bufferPointer = bytesRead = 0;
        }
        private byte read() throws IOException {
            if (bufferPointer == bytesRead)
                fillBuffer();
            return buffer[bufferPointer++];
        }
        public void close() throws IOException {
            if (din == null)
                return;
            din.close();
        }
        private void fillBuffer() throws IOException {
            bytesRead = din.read (buffer, bufferPointer = 0, BUFFER_SIZE);
            if (bytesRead == -1)
                buffer[0] = -1;
        }
        public char nextChar() throws IOException {
            byte c = read();
            while (Character.isWhitespace (c)) {
                c = read();
            }
            return (char)c;
        }
        public String nextString() throws IOException {
            byte c = read();
            while (Character.isWhitespace (c)) {
                c = read();
            }
            StringBuilder builder = new StringBuilder();
            builder.append ((char)c);
            c = read();
            while (!Character.isWhitespace (c)) {
                builder.append ((char)c);
                c = read();
            }
            return builder.toString();
        }
        public int nextInt() throws IOException {
            int ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }
        public long nextLong() throws IOException {
            long ret = 0;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (neg)
                return -ret;
            return ret;
        }
        public double nextDouble() throws IOException {
            double ret = 0, div = 1;
            byte c = read();
            while (c <= ' ')
                c = read();
            boolean neg = (c == '-');
            if (neg)
                c = read();
            do {
                ret = ret * 10 + c - '0';
            } while ((c = read()) >= '0' && c <= '9');
            if (c == '.') {
                while ((c = read()) >= '0' && c <= '9') {
                    ret += (c - '0') / (div *= 10);
                }
            }
            if (neg)
                return -ret;
            return ret;
        }
        public char[] charArray (int n) throws IOException {
            char arr[] = new char[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextChar();
            return arr;
        }
        public String[] stringArray (int n) throws IOException {
            String arr[] = new String[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextString();
            return arr;
        }
        public int[] intArray (int n) throws IOException {
            int arr[] = new int[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextInt();
            }
            return arr;
        }
        public long[] longArray (int n) throws IOException {
            long arr[] = new long[n];
            for (int i = 0; i < n; i++) {
                arr[i] = nextLong();
            }
            return arr;
        }
        public double[] doubleArray (int n) throws IOException {
            double arr[] = new double[n];
            for (int i = 0; i < n; i++)
                arr[i] = nextDouble();
            return arr;
        }
    }
    // FastScanner end
}