diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 7f5341a..289588d 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -1,6 +1,20 @@
 def newman_conway(num):
     """ Returns a list of the Newman Conway numbers for the given value.
-        Time Complexity: ?
-        Space Complexity: ?
+        Time Complexity: O(n) where n is the input
+        Space Complexity: O(n) where n is the input
     """
-    pass
+
+    if num < 1:
+        raise ValueError
+    elif num == 1:
+        return "1"
+
+    memo = [0, 1, 1]
+    
+    output_string = "1 1 "
+    for i in range(3, num + 1):
+        new_number = memo[memo[i - 1]] + memo[i - memo[i - 1]]
+        memo.append(new_number)
+        output_string += f"{str(new_number)} "
+
+    return output_string[:-1]