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Find the K-Beauty of a Number

The k-beauty of an integer num is defined as the number of substrings of num when it is read as a string that meet the following conditions: Given integers num and k, return the...

The k-beauty of an integer num is defined as the number of substrings of num when it is read as a string that meet the following conditions:

Given integers num and k, return the k-beauty of num.

Note:

A substring is a contiguous sequence of characters in a string.

Example 1

Input: num = 240, k = 2

Output: 2

Explanation: The following are the substrings of num of length k: - "24" from "240": 24 is a divisor of 240. - "40" from "240": 40 is a divisor of 240. Therefore, the k-beauty is 2.

Example 2

Input: num = 430043, k = 2

Output: 2

Explanation: The following are the substrings of num of length k: - "43" from "430043": 43 is a divisor of 430043. - "30" from "430043": 30 is not a divisor of 430043. - "00" from "430043": 0 is not a divisor of 430043. - "04" from "430043": 4 is not a divisor of 430043. - "43" from "430043": 43 is a divisor of 430043. Therefore, the k-beauty is 2.

Constraints

  • 1 <= num <= 10^9
  • 1 <= k <= num.length (taking num as a string)

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