diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..9b38853
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,7 @@
+{
+    "python.testing.pytestArgs": [
+        "tests"
+    ],
+    "python.testing.unittestEnabled": false,
+    "python.testing.pytestEnabled": true
+}
\ No newline at end of file
diff --git a/lib/max_subarray.py b/lib/max_subarray.py
index 4e892e0..f43e5be 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -1,12 +1,24 @@
 
 def max_sub_array(nums):
+
     """ Returns the max subarray of the given list of numbers.
-        Returns 0 if  nums is None or an empty list.
-        Time Complexity: ?
-        Space Complexity: ?
-    """
+    Returns 0 if  nums is None or an empty list.
+    Time Complexity: O(n)
+    Space Complexity: O(1)
+"""
     if nums == None:
         return 0
     if len(nums) == 0:
         return 0
-    pass
+    if len(nums) == 1:
+        return nums[0]
+    max_sum = nums[0]
+    current_sum = nums[0]
+    for i in range(1, len(nums)):
+        if current_sum + nums[i] > nums[i]:
+            current_sum += nums[i]
+        else:
+            current_sum = nums[i]
+        if current_sum > max_sum:
+            max_sum = current_sum
+    return max_sum 
\ No newline at end of file
diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..b2d634b 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -1,10 +1,20 @@
-
-
 # Time complexity: ?
 # Space Complexity: ?
+
+
 def newman_conway(num):
     """ Returns a list of the Newman Conway numbers for the given value.
         Time Complexity: ?
         Space Complexity: ?
     """
-    pass
+    nc_nums = [1, 1]
+    if num < 1:
+        raise ValueError("Num must be greater than 0.")
+    for i in range(2, num + 1):
+        nc_nums.append(nc_nums[nc_nums[i - 1] - 1] + nc_nums[i - nc_nums[i - 1]])
+    string_list = []
+    for n in nc_nums:
+        string_list.append(str(n))
+    return " ".join(string_list[0:num])
+
+    # pass
\ No newline at end of file