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
a=int(input())
x=0
div=[]
for i in range(1,int(a**0.5)+1):
    if a%i==0:
        div.append(i)
b=len(div)
for i in div[:b]:
    div.append(a//i)
div=list(set(div))

for i in div:
    t=0
    for j in str(i):
        if j in str(a):
            t=1
    x+=t

print(x)
