Hdu3652 B-number详解

探讨B-number(含子串13且能被13整除的非负整数)的求解方法,通过数位DP与记忆化搜索解决1至n范围内B-number的数量计算问题。

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B-number

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 10866    Accepted Submission(s): 6455

 

Problem Description

A wqb-number, or B-number for short, is a non-negative integer whose decimal form contains the sub- string "13" and can be divided by 13. For example, 130 and 2613 are wqb-numbers, but 143 and 2639 are not. Your task is to calculate how many wqb-numbers from 1 to n for a given integer n.

Input

Process till EOF. In each line, there is one positive integer n(1 <= n <= 1000000000).

Output

Print each answer in a single line.

Sample Input

13

100

200

1000

Sample Output

1

1

2

2

   

 

此题思路:数位dp+记忆化搜索

好几个小时了,把能搜到的博客都看了,思路大体一样,还是感觉一知半解,打算等搞懂这道题写个详解...先开个坑,尽量早点填

 

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