From 22c873b45329f0ef653380d3ce7896bdcdd4d553 Mon Sep 17 00:00:00 2001
From: dkoval <koval.dmitriy@gmail.com>
Date: Mon, 21 Oct 2024 10:47:08 +0200
Subject: [PATCH] Solution to "Split a String Into the Max Number of Unique
 Substrings" problem

---
 ...StringIntoMaxNumberOfUniqueSubstrings.java | 54 +++++++++++++++++++
 ...ringIntoMaxNumberOfUniqueSubstringsTest.kt | 42 +++++++++++++++
 2 files changed, 96 insertions(+)
 create mode 100644 src/main/java/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstrings.java
 create mode 100644 src/test/kotlin/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstringsTest.kt

diff --git a/src/main/java/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstrings.java b/src/main/java/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstrings.java
new file mode 100644
index 00000000..656c9309
--- /dev/null
+++ b/src/main/java/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstrings.java
@@ -0,0 +1,54 @@
+package com.github.dkoval.leetcode.challenge;
+
+import java.util.HashSet;
+import java.util.Set;
+
+/**
+ * <a href="https://leetcode.com/problems/split-a-string-into-the-max-number-of-unique-substrings/">Split a String Into the Max Number of Unique Substrings</a>
+ * <p>
+ * Given a string s, return the maximum number of unique substrings that the given string can be split into.
+ * <p>
+ * You can split string s into any list of non-empty substrings, where the concatenation of the substrings forms the original string.
+ * However, you must split the substrings such that all of them are unique.
+ * <p>
+ * Constraints:
+ * <ul>
+ *  <li>1 <= s.length <= 16</li>
+ *  <li>s contains only lower case English letters.</li>
+ * </ul>
+ */
+public interface SplitStringIntoMaxNumberOfUniqueSubstrings {
+
+    int maxUniqueSplit(String s);
+
+    class SplitStringIntoMaxNumberOfUniqueSubstringsRev1 implements SplitStringIntoMaxNumberOfUniqueSubstrings {
+
+        @Override
+        public int maxUniqueSplit(String s) {
+            return calc(s, 0, new HashSet<>());
+        }
+
+        private int calc(String s, int start, Set<String> seen) {
+            if (start == s.length()) {
+                return 0;
+            }
+
+            // try every position to split s[start:]
+            // ... xxxxx | yyyyyyyyy
+            //     ^   ^   <-------> a new sub-problem
+            //   start end
+            int count = 0;
+            for (int end = start; end < s.length(); end++) {
+                String substr = s.substring(start, end + 1);
+                if (seen.contains(substr)) {
+                    continue;
+                }
+                // apply backtracking technique
+                seen.add(substr);
+                count = Math.max(count, 1 + calc(s, end + 1, seen));
+                seen.remove(substr);
+            }
+            return count;
+        }
+    }
+}
diff --git a/src/test/kotlin/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstringsTest.kt b/src/test/kotlin/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstringsTest.kt
new file mode 100644
index 00000000..e78789f0
--- /dev/null
+++ b/src/test/kotlin/com/github/dkoval/leetcode/challenge/SplitStringIntoMaxNumberOfUniqueSubstringsTest.kt
@@ -0,0 +1,42 @@
+package com.github.dkoval.leetcode.challenge
+
+import com.github.dkoval.leetcode.challenge.SplitStringIntoMaxNumberOfUniqueSubstrings.SplitStringIntoMaxNumberOfUniqueSubstringsRev1
+import org.junit.jupiter.api.Assertions.assertEquals
+import org.junit.jupiter.api.Nested
+import org.junit.jupiter.api.extension.ExtensionContext
+import org.junit.jupiter.params.ParameterizedTest
+import org.junit.jupiter.params.provider.Arguments
+import org.junit.jupiter.params.provider.ArgumentsProvider
+import org.junit.jupiter.params.provider.ArgumentsSource
+import java.util.stream.Stream
+
+internal class SplitStringIntoMaxNumberOfUniqueSubstringsTest {
+
+    class InputArgumentsProvider : ArgumentsProvider {
+
+        override fun provideArguments(context: ExtensionContext): Stream<out Arguments> = Stream.of(
+            Arguments.of("ababccc", 5),
+            Arguments.of("aba", 2),
+            Arguments.of("aa", 1),
+            Arguments.of("wwwzfvedwfvhsww", 11)
+        )
+    }
+
+    @Nested
+    inner class SplitStringIntoMaxNumberOfUniqueSubstringsRev1Test {
+
+        @ParameterizedTest
+        @ArgumentsSource(InputArgumentsProvider::class)
+        fun `should return the maximum number of unique substrings that the given string can be split into`(
+            s: String,
+            expected: Int
+        ) {
+            SplitStringIntoMaxNumberOfUniqueSubstringsRev1().test(s, expected)
+        }
+    }
+}
+
+private fun SplitStringIntoMaxNumberOfUniqueSubstrings.test(s: String, expected: Int) {
+    val actual = maxUniqueSplit(s)
+    assertEquals(expected, actual)
+}