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 9.2.1) (judge verdict: Wrong Answer)

#include <stdio.h>
int main()
{
  int n,i,j=0,k=0;
  scanf("%d",&n);
  int ar[n];
  for(i=0;i<n;i++)
  {
    scanf("%d",&ar[i]);
  }
  for(i=0;i<n;i++)
  {
   if((ar[i])==(i+1))
   {
     j++;
   } 
   else if((ar[i])!=(i+1))
   {
     k++;
   }
  }
  if(j==n)
  {
    printf("YES\n");
   }
  else if(k<=n)
  {
    printf("YES\n");
  }
  else
  {
    printf("NO\n");
  }
  return 0;
}