Add AllConstruct algorithm (#5791)

src/main/java/com/thealgorithms/dynamicprogramming/AllConstruct.java

@@ -0,0 +1,61 @@
+package com.thealgorithms.dynamicprogramming;
+
+import java.util.ArrayList;
+import java.util.List;
+
+/**
+ * This class provides a solution to the "All Construct" problem.
+ *
+ * The problem is to determine all the ways a target string can be constructed
+ * from a given list of substrings. Each substring in the word bank can be used
+ * multiple times, and the order of substrings matters.
+ *
+ * @author Hardvan
+ */
+public final class AllConstruct {
+    private AllConstruct() {
+    }
+
+    /**
+     * Finds all possible ways to construct the target string using substrings
+     * from the given word bank.
+     * Time Complexity: O(n * m * k), where n = length of the target,
+     * m = number of words in wordBank, and k = average length of a word.
+     *
+     * Space Complexity: O(n * m) due to the size of the table storing combinations.
+     *
+     * @param target   The target string to construct.
+     * @param wordBank An iterable collection of substrings that can be used to construct the target.
+     * @return A list of lists, where each inner list represents one possible
+     *         way of constructing the target string using the given word bank.
+     */
+    public static List<List<String>> allConstruct(String target, Iterable<String> wordBank) {
+        List<List<List<String>>> table = new ArrayList<>(target.length() + 1);
+
+        for (int i = 0; i <= target.length(); i++) {
+            table.add(new ArrayList<>());
+        }
+
+        table.get(0).add(new ArrayList<>());
+
+        for (int i = 0; i <= target.length(); i++) {
+            if (!table.get(i).isEmpty()) {
+                for (String word : wordBank) {
+                    if (i + word.length() <= target.length() && target.substring(i, i + word.length()).equals(word)) {
+
+                        List<List<String>> newCombinations = new ArrayList<>();
+                        for (List<String> combination : table.get(i)) {
+                            List<String> newCombination = new ArrayList<>(combination);
+                            newCombination.add(word);
+                            newCombinations.add(newCombination);
+                        }
+
+                        table.get(i + word.length()).addAll(newCombinations);
+                    }
+                }
+            }
+        }
+
+        return table.get(target.length());
+    }
+}