diff --git a/src/main/java/com/thealgorithms/dynamicprogramming/UniqueSubsequencesCount.java b/src/main/java/com/thealgorithms/dynamicprogramming/UniqueSubsequencesCount.java new file mode 100755 index 000000000000..8c7ea6179e3f --- /dev/null +++ b/src/main/java/com/thealgorithms/dynamicprogramming/UniqueSubsequencesCount.java @@ -0,0 +1,98 @@ +package com.thealgorithms.dynamicprogramming; + +import java.util.Arrays; +import java.util.HashSet; +import java.util.Set; + +/** + * Utility class to find the number of unique subsequences that can be + * produced from a given string. + * + *
This class contains static methods to compute the unique subsequence count + * using dynamic programming and recursion. It ensures that duplicate characters + * are not counted multiple times in the subsequences.
+ * + *Author: https://github.com/Tuhinm2002
+ */ +public final class UniqueSubsequencesCount { + + /** + * Private constructor to prevent instantiation of this utility class. + * This class should only be used in a static context. + * + * @throws UnsupportedOperationException if attempted to instantiate. + */ + private UniqueSubsequencesCount() { + throw new UnsupportedOperationException("Utility class"); + } + + /** + * Finds the number of unique subsequences that can be generated from + * the given string. + * + *This method initializes a dynamic programming (DP) array and invokes + * the recursive helper function to compute the subsequence count.
+ * + * @param str the input string from which subsequences are generated + * @return the total count of unique subsequences + */ + public static int countSubseq(String str) { + + // DP array initialized to store intermediate results + int[] dp = new int[str.length() + 1]; + Arrays.fill(dp, -1); + + // Calls the recursive function to compute the result + return countSubsequences(str, 0, dp); + } + + /** + * Recursive helper function to count the number of unique subsequences + * starting from the given index. + * + *Uses a HashSet to avoid counting duplicate characters within + * a single subsequence.
+ * + * @param st the input string + * @param idx the current index from which to calculate subsequences + * @param dp dynamic programming array used to memoize results + * @return the total number of unique subsequences starting from the + * current index + */ + public static int countSubsequences(String st, int idx, int[] dp) { + + // Base case: when index exceeds the string length + if (idx >= st.length()) { + return 0; + } + + // If result is already calculated, return the memoized value + if (dp[idx] != -1) { + return dp[idx]; + } + + // Set to store characters to avoid duplicates + Set