Package g2401_2500.s2478_number_of_beautiful_partitions

Class Solution

java.lang.Object

g2401_2500.s2478_number_of_beautiful_partitions.Solution

public class Solution
extends Object

2478 - Number of Beautiful Partitions.<p>Hard</p> <p>You are given a string <code>s</code> that consists of the digits <code>'1'</code> to <code>'9'</code> and two integers <code>k</code> and <code>minLength</code>.</p> <p>A partition of <code>s</code> is called <strong>beautiful</strong> if:</p> <ul> <li><code>s</code> is partitioned into <code>k</code> non-intersecting substrings.</li> <li>Each substring has a length of <strong>at least</strong> <code>minLength</code>.</li> <li>Each substring starts with a <strong>prime</strong> digit and ends with a <strong>non-prime</strong> digit. Prime digits are <code>'2'</code>, <code>'3'</code>, <code>'5'</code>, and <code>'7'</code>, and the rest of the digits are non-prime.</li> </ul> <p>Return <em>the number of <strong>beautiful</strong> partitions of</em> <code>s</code>. Since the answer may be very large, return it <strong>modulo</strong> <code>10⁹ + 7</code>.</p> <p>A <strong>substring</strong> is a contiguous sequence of characters within a string.</p> <p><strong>Example 1:</strong></p> <p><strong>Input:</strong> s = &ldquo;23542185131&rdquo;, k = 3, minLength = 2</p> <p><strong>Output:</strong> 3</p> <p><strong>Explanation:</strong> There exists three ways to create a beautiful partition:</p> <p>&ldquo;2354 | 218 | 5131&rdquo;</p> <p>&ldquo;2354 | 21851 | 31&rdquo;</p> <p>&ldquo;2354218 | 51 | 31&rdquo;</p> <p><strong>Example 2:</strong></p> <p><strong>Input:</strong> s = &ldquo;23542185131&rdquo;, k = 3, minLength = 3</p> <p><strong>Output:</strong> 1</p> <p><strong>Explanation:</strong> There exists one way to create a beautiful partition: &ldquo;2354 | 218 | 5131&rdquo;.</p> <p><strong>Example 3:</strong></p> <p><strong>Input:</strong> s = &ldquo;3312958&rdquo;, k = 3, minLength = 1</p> <p><strong>Output:</strong> 1</p> <p><strong>Explanation:</strong> There exists one way to create a beautiful partition: &ldquo;331 | 29 | 58&rdquo;.</p> <p><strong>Constraints:</strong></p> <ul> <li><code>1 <= k, minLength <= s.length <= 1000</code></li> <li><code>s</code> consists of the digits <code>'1'</code> to <code>'9'</code>.</li> </ul>

Constructor Summary

Constructors

Constructor	Description
Solution()

Method Summary

Modifier and Type	Method	Description
int	beautifulPartitions(String s, int k, int l)

Methods inherited from class java.lang.Object

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

Constructor Details

Solution

public Solution()

Method Details

beautifulPartitions

public int beautifulPartitions(String s,
 int k,
 int l)