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..b166015 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -2,11 +2,19 @@
 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: ?
+        Time Complexity: O(n)
+        Space Complexity: O(1)
     """
     if nums == None:
         return 0
     if len(nums) == 0:
         return 0
-    pass
+        
+    final_max = nums[0]
+    temp_max = nums[0]
+
+    for i in range(1, len(nums)):
+        temp_max = max(temp_max + nums[i], nums[i])
+        if temp_max > final_max:
+            final_max = temp_max
+    return final_max
diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..104b0fe 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -7,4 +7,29 @@ def newman_conway(num):
         Time Complexity: ?
         Space Complexity: ?
     """
-    pass
+
+    # p1 = 1
+    # p2 = 1
+    # for all num > 2
+    #     P(n) = P(P(n - 1)) + P(n - P(n - 1))
+
+    if num <= 0:
+        raise ValueError("Number must be greater than 0!")
+
+    if num == 1:
+        return "1"
+
+    newman_seq = [None] * (num)
+    newman_seq[0] = 1
+    newman_seq[1] = 1
+
+    n = 2
+    while n < num:
+        newman_seq[n] = newman_seq[newman_seq[n -1 ] - 1] + newman_seq[n-newman_seq[n - 1]]
+        n += 1
+
+    output_seq = " ".join(map(str, newman_seq))
+    return output_seq
+
+    
+
diff --git a/package-lock.json b/package-lock.json
new file mode 100644
index 0000000..7ae438f
--- /dev/null
+++ b/package-lock.json
@@ -0,0 +1,6 @@
+{
+  "name": "dynamic-programming",
+  "lockfileVersion": 2,
+  "requires": true,
+  "packages": {}
+}