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 Kotlin (1.0.0) (judge verdict: Wrong Answer)

fun main (args : Array<String>) {
	val n = readLine()
	val N : Int = n!!.toInt()
	var l = readLine()!!.split(" ")
	var list : MutableList<Int> = mutableListOf()
	if (N <= 2) {
		return println("YES")
	}
	for (i in 0..N - 1) {
		list.add(l[i].toInt())
	}
	var count : Int = 0
	for (i in 0..N - 1) {
		if (list[i] != (i + 1)) {
			if (count <= 2) {
			    count++
			} else {
				return println("NO")
			}
		}
	}
	println("YES")
}