Problem:
Score : 200 points

Problem Statement

Having learned the multiplication table, Takahashi can multiply two integers between 1 and 9 (inclusive) together.

Given an integer N, determine whether N can be represented as the product of two integers between 1 and 9. If it can, print Yes; if it cannot, print No.

Constraints

1 \leq N \leq 100

N is an integer.

Input

Input is given from Standard Input in the following format:

N

Output

If N can be represented as the product of two integers between 1 and 9 (inclusive), print Yes; if it cannot, print No.

Sample Input 1

10

Sample Output 1

Yes

10 can be represented as, for example, 2 \times 5.

Sample Input 2

50

Sample Output 2

No

50 cannot be represented as the product of two integers between 1 and 9.

Sample Input 3

81

Sample Output 3

Yes

Solution in Python (3.4.3) (judge verdict: Accepted)

N = int(input())

def prime_factorize(n):
    a = []
    while n % 2 == 0:
        a.append(2)
        n //= 2
    f = 3
    while f * f <= n:
        if n % f == 0:
            a.append(f)
            n //= f
        else:
            f += 2
    if n != 1:
        a.append(n)
    a.sort(reverse = True)
    return a

a = prime_factorize(n = N)
ans = 'Yes'


if len(a) == 0:
    if N > 9:
        ans = 'No'
elif len(a) > 4:
    if N / 8 > 9:
        ans = 'No'
elif len(a) == 3:
    if a[1] * a[2] > 9:
        ans = 'No'
else:
    n = N
    b = []
    for i in a:
        n = n / i
        b.append(n)

    if a[0] > 9:
        ans = 'No'
    if N > 81:
        ans = 'No'
    
print(ans)