AtCoder Beginner Contest 208
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Problem Statement
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For how many positive integers at most $N$ is the product of the digits at most $K$?
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Constraints
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$1 \leq N \leq 10^{18}$$1 \leq K \leq 10^9$- All values in input are integers.
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Input
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Input is given from Standard Input in the following format:
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N K
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Output
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Print the number of integers satisfying the condition.
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样例
Input #1
13 2
Output #1
5
Out of the positive integers at most $13$, there are five such that the product of the digits is at most $2$: $1$, $2$, $10$, $11$, and $12$.
Input #2
100 80
Output #2
99
Out of the positive integers at most $100$, all but $99$ satisfy the condition.
Input #3
1000000000000000000 1000000000
Output #3
841103275147365677
Note that the answer may not fit into a $32$-bit integer.
题目信息
题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。