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Problem

Given two numbers x and N, find the number of x-digit numbers whose product of digits is N.

Input format:

Each lines contain two numbers Nand x.

Output Format:

For each input case, output the result on a new line.

Options

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Sample input:_

204120 10
210 4
3780 4
35 7
22680 7

Sample output:

3432240
48
0
42
22470

Sample input:_

5 2
8 3

Sample output:

2
10

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