UMNOZAK

문제

The digit-product of a positive integer is the product of the number's decimal digits. For example, the digit-product of 2612 is 2 · 6 · 1 · 2 = 24. 

The self-product of a number is the product of the number and its digit-product. For example, the self-product of 2612 is 2612 · 24 = 62688. 

Write a program that, given two positive integers A and B, calculates the number of positive integers whose self-product is between A and B, inclusive. 

입력

The first and only line contains two integers A and B (1 ≤ A ≤ B < 10¹⁸). 

출력

Output should consist of a single integer, the number of positive integers whose twist is between A and B. 

20 30

2

145 192

4

2224222 2224222

1