Little Elephant and Numbers

题意翻译

小象喜欢数字。 他有一个正整数x。 小象想要找到正整数d的数量，使得d是x的除数，并且x和d在其十进制表示中具有至少一个共同（相同）数字。 帮助小象找到所描述的数字。

题目描述

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.

输入输出格式

输入格式

A single line contains a single integer $ x $ $ (1<=x<=10^{9}) $ .

输出格式

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

输入输出样例

输入样例 #1

1

输出样例 #1

1

输入样例 #2

10

输出样例 #2

2