A1139. [COCI-2007_2008-olympiad]#4 UMNOZAK

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 = 2
4.
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 = 6268
8.
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.

The first and only line contains two integers A and B (1 ≤ A ≤ B < 10^18).

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

In test cases worth a total of 25 points, A and B will be at most 10^8.
In test cases worth another 15, A and B will be at most 10^12.

Clarification of second example. The self-products of numbers 19, 24, 32 i 41 are in order 171, 192,
192 and 164.