The Little Elephant loves numbers. 

He has a positive integer x. The Little Elephant wants to find the number of positive integers d, such that d is the divisor of x, and x and d have at least one common (the same) digit in their decimal representations. 

Help the Little Elephant to find the described number.

Input

A single line contains a single integer x (1 ≤ x ≤ 109).

Output

In a single line print an integer — the answer to the problem.

Examples

Input

1


Output

1


Input

10


Output

2
x = input()
divisors = []
y = [0]*10
ans = 0
for c in str(x):
    y[int(c)] = 1
for i in xrange(1,int(x**0.5)+1):
    if x % i == 0:
        divisors.append(str(x/i))
        divisors.append(str(i))
for d in list(set(divisors)):
    for d2 in d:
        if y[int(d2)]:
            ans += 1
            break
print ans 