add: MaximumSubarraySumDpOptimized

Author: Jer3myYu

java/Dynamic Programming/MaximumSubarraySumDpOptimized.java

@@ -0,0 +1,15 @@
+public class MaximumSubarraySumDpOptimized {
+    public int maximumSubarraySumDpOptimized(int[] nums) {
+        int n = nums.length;
+        if (n == 0) {
+            return 0;
+        }
+        int currentSum = nums[0];
+        int maxSum = nums[0];
+        for (int i = 1; i < n; i++) {
+            currentSum = Math.max(nums[i], currentSum + nums[i]);
+            maxSum = Math.max(maxSum, currentSum);
+        }
+        return maxSum;
+    }
+}