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.

Examples

Input

5
5 2 3 4 1


Output

YES


Input

5
2 4 3 5 1


Output

NO


Input

7
1 2 3 4 5 6 7


Output

YES
import sys

raw_input = sys.stdin.readline

f = lambda : raw_input().rstrip()    
f1 = lambda : f().split()
f2 = lambda t: map(t,f1())

def main1():
    a,b = f2(int)
    if (a+b)%2 == 0:
       print (a+b)/2
    elif a == b:
       print 0
    else:
       print "IMPOSSIBLE"

def main2():
    n = int(f())
    a = f2(int)
    b = sorted(a)
    m = 0
    for i in xrange(n):
        if a[i] != b[i]:
            m = m + 1
    if m<=2:
        print "YES"
    else:
        print "NO"

def main3():
    n = int(f())
    a = f2(int)
    b = f2(int)
    ans = 0
    for k in xrange(n):
        if a[i] >= b[i]:
            ans = ans + b[i]
        elif a[i] < b[i] :
            ans = ans + a[i]
            b[i] = b[i] - a[i]
            ans = ans + min(a[i+1], b[i])
            a[i+1] = a[i+1] - b[i]  
    print ans 
 
def main4():
    pass
    
    
if __name__ == "__main__":
    main2()