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06/12/2025 07:35:33
1648. Self-product
Self-product
Олимпиадные задачи на английском языке| 04/07/2011 | Лето 2011 - дорешивание (13G) |
| 20/07/2011 | Лето 2011 - 13 (G) |
Ограничения: время – 2s/4s, память – 64MiB Ввод: input.txt или стандартный ввод Вывод: output.txt или стандартный вывод 
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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 for given two positive integers `A` and `B` calculates the number of positive integers
whose self-product is between `A` and `B`, inclusive.
Input
The first and only line contains two integers `A` and `B` (`1\ ≤\ A\ ≤\ B\ <\ 10^18`).
Output
Output should consist of a single integer, the number of positive integers whose self-product is between `A` and `B`.
Sample Input 1
20 30
Sample Output 1
2
Sample Input 2
145 192
Sample Output 2
4
Sample Input 3
2224222 2224222
Sample Output 3
1
