Add sum of subset problem using DP (#2451)

DynamicProgramming/Sum_Of_Subset.java

@@ -0,0 +1,28 @@
+public class Sum_Of_Subset {
+        public static void main(String[] args){
+    
+        int[] arr = { 7, 3, 2, 5, 8 };
+        int Key = 14;
+ 
+        if (subsetSum(arr, arr.length - 1, Key)) {
+            System.out.print("Yes, that sum exists");
+        }
+        else {
+            System.out.print("Nope, that number does not exist");
+        }
+    }
+    public static boolean subsetSum(int[] arr, int num, int Key)
+    {
+        if (Key == 0) {
+            return true;
+        }
+        if (num < 0 || Key < 0) {
+            return false;
+        }
+
+        boolean include = subsetSum(arr, num - 1, Key - arr[num]);
+        boolean exclude = subsetSum(arr, num - 1, Key);
+
+        return include || exclude;
+    }
+}