Issue darpanjbora#1: Add Fibonacci Dynamic Programming

Dynamic Programming/Fibonacci.java

@@ -0,0 +1,39 @@
+/**
+ * This is a algorithm to implement the Fibonacci Nth element problem
+ * using dynamic programming paradigm. This version I am using the memoization
+ * strategy to going top-down to find all needed values and store on the fiboMemo array.
+ *
+ * @author Augusto Baltazar ([email protected])
+ */
+public class Fibonacci {
+
+    private int[] fiboMemo;
+
+    private int findNthElement(int n) {
+
+        if (this.fiboMemo == null) {
+            fiboMemo = new int[n + 1];
+        }
+
+        if (n <= 1) {
+            fiboMemo[n] = n;
+        } else {
+            fiboMemo[n] = findNthElement(n - 1) + findNthElement(n - 2);
+        }
+
+        return fiboMemo[n];
+    }
+
+    /**
+     * Tests the function to the given number passed as argument
+     * @param args
+     */
+    public static void main(String[] args) {
+        try {
+            int arg = Integer.parseInt(args[0]);
+            System.out.println(new Fibonacci().findNthElement(arg));
+        } catch (Exception e) {
+            System.out.println("The argument entered is not a valid integer number.");
+        }
+    }
+}