diff --git a/.vscode/settings.json b/.vscode/settings.json
new file mode 100644
index 0000000..6620bcd
--- /dev/null
+++ b/.vscode/settings.json
@@ -0,0 +1,14 @@
+{
+    "python.testing.unittestArgs": [
+        "-v",
+        "-s",
+        "./tests",
+        "-p",
+        "*test.py"
+    ],
+    "python.testing.pytestEnabled": true,
+    "python.testing.unittestEnabled": false,
+    "python.testing.pytestArgs": [
+        "tests"
+    ]
+}
\ No newline at end of file
diff --git a/lib/max_subarray.py b/lib/max_subarray.py
index 4e892e0..124e313 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -2,11 +2,20 @@
 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: On
+        Space Complexity: ON
     """
     if nums == None:
         return 0
     if len(nums) == 0:
         return 0
-    pass
+
+    max_sub_array = nums[0]
+    max_sub = nums[0]
+
+    for i in range(1,len(nums)):
+
+        max_sub = max(max_sub + nums[i], nums[i])
+        max_sub_array = max(max_sub_array, max_sub)
+  
+    return max_sub_array
\ No newline at end of file
diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..a522a91 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -1,10 +1,32 @@
 
-
+import array
 # Time complexity: ?
 # Space Complexity: ?
 def newman_conway(num):
     """ Returns a list of the Newman Conway numbers for the given value.
-        Time Complexity: ?
-        Space Complexity: ?
+        Time Complexity: o(n)
+        Space Complexity: o(n)
     """
-    pass
+    # to store values 
+    if num < 1: 
+        raise ValueError ("Invalid Num")
+    if num == 1: 
+        return "1"
+
+    f = [0, 1, 1]
+    output = "1"
+
+    count = 3 
+    # To store values of sequence in array
+
+    while count <= num: 
+        f.append(f[f[count - 1]]+ f[count - f [ count -1]])
+        count += 1 
+    number = [str(item) for item in f]
+    
+    return " ".join(number[1:])
+    # for i in range(3, num + 1):
+    #     r = f[f[i-1]]+f[i-f[i-1]]
+    #     f.append(r);
+ 
+    # return r
\ No newline at end of file