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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include<stdio.h>

int main()

{
    int n,i,j,temp,c=0;

    scanf("%d",&n);

    int a[n],b[n];

    for(i=0;i<n;i++){

        scanf("%d",&a[i]);

    }

    for(i=0;i<n;i++){

        b[i]=a[i];
    }

    for(i=1;i<=n;i++){

        for(j=0;j<n;j++){

            if(b[j]>b[j+1]){

                temp = b[j];

                b[j] = b[j+1];

                b[j+1] = temp;
            }
        }
    }

    for(i=0;i<n;i++){

       if(a[i]!=b[i]){

        c++;
       }

    }

    if(c>=0 && c<=2){

        printf("YES\n");

    }

    else{

        printf("NO\n");

    }

    return 0;
}