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 Ruby (2.3.3) (judge verdict: Wrong Answer)

n = gets.to_i
ary = gets.split(" ").map(&:to_i)

h = Hash.new(0)
num = 1
ary.each do |a|
    h[num] = a unless num == a
    num = num + 1
end

def hikaku(hash)
    a = hash.to_a
    a[0][1] == a[1][0]
end


if h.length > 3 #ハッシュが３つ以上
    puts "NO"
elsif h.length == 1
    puts "NO"
elsif h.empty? #ハッシュなし
    puts "YES"
elsif hikaku(h) == true
    puts "YES"
elsif hikaku(h) == false
    puts "NO"
else
    puts "NO"
end