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:
- It has a length of
k
. - It is a divisor of
num
.
Given integers num
and k
, return the k-beauty of num
.
Note:
- Leading zeros are allowed.
0
is not a divisor of any value.
A substring is a contiguous sequence of characters in a string.
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.
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.
1 <= num <= 109
1 <= k <= num.length
(takingnum
as a string)
class Solution:
def divisorSubstrings(self, num: int, k: int) -> int:
s = str(num)
ret = 0
for i in range(len(s) - k + 1):
x = int(s[i:i + k])
if x > 0 and num % x == 0:
ret += 1
return ret