Feat(Improved): Add 0/1 Knapsack Problem: Recursive and Tabulation (Bottom-Up DP) Implementations in Java along with their corresponding Tests (#6425)

* feat: Add 0/1 Knapsack and its tabulation implementation with their corresponding tests

* feat: Add 0/1 Knapsack and its tabulation implementation with their corresponding tests

* feat: Add 0/1 Knapsack and its tabulation implementation with their corresponding tests

* Feat:add 0/1knapsack and 0/1knapsacktabulation along with their tests

* Feat:add 0/1knapsack and 0/1knapsacktabulation along with their tests

* Feat:add 0/1knapsack and 0/1knapsacktabulation along with their tests

---------

Co-authored-by: Oleksandr Klymenko <alexanderklmn@gmail.com>

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

@@ -0,0 +1,53 @@
+package com.thealgorithms.dynamicprogramming;
+
+/**
+ * The {@code KnapsackZeroOne} provides Recursive solution for the 0/1 Knapsack
+ * problem. Solves by exploring all combinations of items using recursion. No
+ * memoization or dynamic programming optimizations are applied.
+ *
+ * Time Complexity: O(2^n) — explores all subsets.
+ * Space Complexity: O(n) — due to recursive call stack.
+ *
+ * Problem Reference: https://en.wikipedia.org/wiki/Knapsack_problem
+ */
+public final class KnapsackZeroOne {
+
+    private KnapsackZeroOne() {
+        // Prevent instantiation
+    }
+
+    /**
+     * Solves the 0/1 Knapsack problem using recursion.
+     *
+     * @param values   the array containing values of the items
+     * @param weights  the array containing weights of the items
+     * @param capacity the total capacity of the knapsack
+     * @param n        the number of items
+     * @return the maximum total value achievable within the given weight limit
+     * @throws IllegalArgumentException if input arrays are null, empty, or
+     *     lengths mismatch
+     */
+    public static int compute(final int[] values, final int[] weights, final int capacity, final int n) {
+        if (values == null || weights == null) {
+            throw new IllegalArgumentException("Input arrays cannot be null.");
+        }
+        if (values.length != weights.length) {
+            throw new IllegalArgumentException("Value and weight arrays must be of the same length.");
+        }
+        if (capacity < 0 || n < 0) {
+            throw new IllegalArgumentException("Invalid input: arrays must be non-empty and capacity/n "
+                + "non-negative.");
+        }
+        if (n == 0 || capacity == 0 || values.length == 0) {
+            return 0;
+        }
+
+        if (weights[n - 1] <= capacity) {
+            final int include = values[n - 1] + compute(values, weights, capacity - weights[n - 1], n - 1);
+            final int exclude = compute(values, weights, capacity, n - 1);
+            return Math.max(include, exclude);
+        } else {
+            return compute(values, weights, capacity, n - 1);
+        }
+    }
+}