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 integers k and minLength.

    A partition of s is called beautiful if:

    • s is partitioned into k 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 &lt;= k, minLength &lt;= s.length &lt;= 1000

    • s consists of the digits '1' to '9'.

    • Nested Class Summary

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      Modifier and Type Class Description
    • Field Summary

      Fields 
      Modifier and Type Field Description
    • Constructor Summary

      Constructors 
      Constructor Description
      Solution()
    • Enum Constant Summary

      Enum Constants 
      Enum Constant Description
    • Method Summary

      Modifier and Type Method Description
      final Integer beautifulPartitions(String s, Integer k, Integer l)
      • Methods inherited from class java.lang.Object

        clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait