80_A. Panoramix's Prediction
A prime number is a number which has exactly two distinct divisors: one and itself. For example, numbers 2, 7, 3 are prime, and 1, 6, 4 are not.

The next prime number after x is the smallest prime number greater than x. For example, the next prime number after 2 is 3, and the next prime number after 3 is 5. Note that there is exactly one next prime number after each number. So 5 is not the next prime number for 2.

One cold April morning Panoramix predicted that soon Kakofonix will break free from his straitjacket, and this will be a black day for the residents of the Gallic countryside.

Panoramix's prophecy tells that if some day Asterix and Obelix beat exactly x Roman soldiers, where x is a prime number, and next day they beat exactly y Roman soldiers, where y is the next prime number after x, then it's time to wait for Armageddon, for nothing can shut Kakofonix up while he sings his infernal song.

Yesterday the Gauls beat n Roman soldiers and it turned out that the number n was prime! Today their victims were a troop of m Romans (m > n). Determine whether the Gauls should wait for the black day after today's victory of Asterix and Obelix?

Input

The first and only input line contains two positive integers — n and m (2 ≤ n < m ≤ 50). It is guaranteed that n is prime.

Pretests contain all the cases with restrictions 2 ≤ n < m ≤ 4.

Output

Print YES, if m is the next prime number after n, or NO otherwise.

Examples

Input

3 5


Output

YES

Input

7 11


Output

YES

Input

7 9


Output

NO
```python
from math import ceil, sqrt


def array(arr, struc):
    return (list(map(struc, arr.split())))


def isPrime(x):
    for i in range(2, ceil(sqrt(x))+1):
        if x % i == 0:
            return False

    return True


arr = array(input(), int)

prime1 = arr[0]
prime2 = arr[1]
counter = 0
tmp = prime1 + 1

while tmp <= prime2:
    if isPrime(tmp):
        if tmp == prime2:
            counter = 1
            print('YES')
            break
        else:
            break

    tmp += 1

if counter == 0:
    print('NO')

```