ADDED SLIDING WINDOW ALGORITHM TO CALCULATE MAX SUM OF SUBARRAY OF SI…

data_structures/arrays/sliding_window.py

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+def max_sum_subarray(arr, k):
+    # Edge case: if the window size is greater than the array length
+    if len(arr) < k:
+        return None
+
+    # Compute the sum of the first window
+    window_sum = sum(arr[:k])
+    max_sum = window_sum
+
+    # Slide the window from left to right
+    for i in range(k, len(arr)):
+        # Subtract the element going out of the window and add the new element coming into the window
+        window_sum += arr[i] - arr[i - k]
+        max_sum = max(max_sum, window_sum)
+
+    return max_sum
+
+# Example usage:
+
+# Example 1: Larger array
+arr1 = [4, 3, 10, 2, 8, 6, 7, 1, 9]
+k1 = 4
+print("Example 1: Maximum sum of subarray of length", k1, "is", max_sum_subarray(arr1, k1))
+
+# Example 2: All elements are negative
+arr2 = [-2, -3, -1, -5, -6]
+k2 = 2
+print("Example 2: Maximum sum of subarray of length", k2, "is", max_sum_subarray(arr2, k2))
+
+# Example 3: Array with all elements equal
+arr3 = [5, 5, 5, 5, 5, 5]
+k3 = 3
+print("Example 3: Maximum sum of subarray of length", k3, "is", max_sum_subarray(arr3, k3))
+
+# Example 4: Small array
+arr4 = [1, 2]
+k4 = 2
+print("Example 4: Maximum sum of subarray of length", k4, "is", max_sum_subarray(arr4, k4))
+
+# Example 5: k greater than the array length
+arr5 = [7, 8, 9]
+k5 = 5
+print("Example 5: Maximum sum of subarray of length", k5, "is", max_sum_subarray(arr5, k5))