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(void){
  int n;
  scanf("%d",&n);
  int a[n],i,j,sw,t,min=0;
  for(i=0;i<n;i++){
    scanf("%d",&a[i]);
  }
  for(i=0;i<n-1;i++){
    min=i;
    for(j=i+1;j<n;j++){
      if(a[i]>a[j]){
        min=j;
        sw++; 
      }
    t=a[i];
    a[i]=a[min];
    a[min]=t;
    if(sw==1) break;
     }
  if(sw==1) break;
  }
  for(i=1;i<n;i++){
    if(a[i-1]>a[i]){
      printf("NO");
      return 0;
    }
  }
  printf("YES");
  return 0;
}