Class Solution
-
- All Implemented Interfaces:
public final class Solution
2478 - Number of Beautiful Partitions\.
Hard
You are given a string
s
that consists of the digits'1'
to'9'
and two integersk
andminLength
.A partition of
s
is called beautiful if:s
is partitioned intok
non-intersecting substrings.Each substring has a length of at least
minLength
.Each substring starts with a prime digit and ends with a non-prime digit. Prime digits are
'2'
,'3'
,'5'
, and'7'
, and the rest of the digits are non-prime.
Return the number of beautiful partitions of
s
. Since the answer may be very large, return it modulo <code>10<sup>9</sup> + 7</code>.A substring is a contiguous sequence of characters within a string.
Example 1:
Input: s = "23542185131", k = 3, minLength = 2
Output: 3
Explanation: There exists three ways to create a beautiful partition:
"2354 | 218 | 5131"
"2354 | 21851 | 31"
"2354218 | 51 | 31"
Example 2:
Input: s = "23542185131", k = 3, minLength = 3
Output: 1
Explanation: There exists one way to create a beautiful partition: "2354 | 218 | 5131".
Example 3:
Input: s = "3312958", k = 3, minLength = 1
Output: 1
Explanation: There exists one way to create a beautiful partition: "331 | 29 | 58".
Constraints:
1 <= k, minLength <= s.length <= 1000
s
consists of the digits'1'
to'9'
.