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: Accepted)

#include <stdio.h>
#include <stdlib.h>



int main(){
    int n,i;
    int a[55],b[55],c[55],count = 0;

    scanf("%d",&n);
    for(i = 1; i<= n; i++){
        scanf("%d",&a[i]);
        b[i] = i;
    }
    for(i = 1; i <= n ; i++){
        if(a[i] == b[i]){
            c[i] = 0;
        }else{
            c[i] = 1;
        }
        if(c[i] == 1){
            count++;
        }
    }

    if(count == 2 || count == 0){
        printf("YES");
    }else{
        printf("NO");
    }
    return 0;
}