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..b18e968 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -1,12 +1,14 @@
-
 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: ?
-    """
+
     if nums == None:
         return 0
     if len(nums) == 0:
         return 0
-    pass
+
+    max_array = nums[0]
+    current_max = nums[0]
+
+    for i in range(1, len(nums)):
+        current_max = max(nums[i], current_max + nums[i])
+        max_array = max(current_max, max_array)
+    return max_array
diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..98a9e20 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -1,10 +1,24 @@
-
-
 # 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
+    if num == 0:
+        raise ValueError
+    if num == 1:
+        return "1"
+
+    memo = [None] * (num + 1)
+
+    memo[0] = 0
+    memo[1] = 1
+    memo[2] = 1
+
+    i = 3
+    while i <= num:
+        memo[i] = memo[memo[i - 1]] + memo[i - memo[i - 1]]
+        i += 1
+
+    result = "" + str(memo[1])
+    for i in range(2, len(memo)):
+        result += " " + str(memo[i])
+
+    return result