MaximumSubArraySum

src/main/java/com/thealgorithms/others/MaximumSubArraySum.java

@@ -0,0 +1,47 @@
+package others;
+
+public class MaximumSubArraySum {
+    //Maximum Subarray Sum using Divide and Conquer algorithm
+
+
+    public static int MaximumSum(int[] Arr, int firstindex, int lastindex) {
+
+        if (lastindex == firstindex) {//if the first index and the last index of array are same
+            return Arr[ firstindex ];//it means array contains only one element
+            //and this element equals maximum subarray sum.
+        }
+
+        // Finding middle element's index of the array
+        int middle = ( firstindex + lastindex ) / 2;
+
+        // Finding maximum subarray sum for the left subarray
+
+        int leftMax = -1000000000;
+        int sum = 0;
+        for (int i = middle; i >= firstindex; i--) {
+            sum += Arr[ i ];//addition for sum
+            if (sum > leftMax) {
+                leftMax = sum;
+            }
+        }
+
+        // Find maximum subarray sum for the right subarray
+        int rightMax = -1000000000;//should be minimum value
+        sum = 0;
+        for (int i = middle + 1; i <= lastindex; i++) {
+            sum += Arr[ i ];//addition for  sum
+            if (sum > rightMax) {
+                rightMax = sum;
+            }
+        }
+
+        // Recursive part
+        int maxLeftRight = Math.max (MaximumSum (Arr, firstindex, middle),//left part of the array
+                MaximumSum (Arr, middle + 1, lastindex));//right part of the array
+
+        // return maximum of the three
+        return Math.max (maxLeftRight, leftMax + rightMax);
+    }
+
+
+}