From a296cbe568fb3a4ab5343f00a22cb9301976f6f9 Mon Sep 17 00:00:00 2001
From: Asli Athman <asathmao@amazon.com>
Date: Sun, 17 Jul 2022 16:24:09 -0400
Subject: [PATCH 1/3] Adds max_sub_array logic, passes all tests

---
 lib/max_subarray.py | 14 +++++++++++++-
 1 file changed, 13 insertions(+), 1 deletion(-)

diff --git a/lib/max_subarray.py b/lib/max_subarray.py
index 4e892e0..b0f88ea 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -9,4 +9,16 @@ def max_sub_array(nums):
         return 0
     if len(nums) == 0:
         return 0
-    pass
+
+    max = - 10000000000000000000000000000000000000000000
+    curr_max = 0
+
+    for num in nums:
+        curr_max += num
+        if curr_max > max:
+            max = curr_max
+        if curr_max < 0:
+            curr_max = 0
+    return max
+
+

From 6de9cfc494e28f1cf7c01e1427ed43155dc1d3f0 Mon Sep 17 00:00:00 2001
From: Asli Athman <asathmao@amazon.com>
Date: Sun, 17 Jul 2022 16:25:24 -0400
Subject: [PATCH 2/3] Adds time/space complexity info for max_sub_array

---
 lib/max_subarray.py | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/max_subarray.py b/lib/max_subarray.py
index b0f88ea..af78fce 100644
--- a/lib/max_subarray.py
+++ b/lib/max_subarray.py
@@ -2,8 +2,8 @@
 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

From 28548fe9461a14d94b5e102a2d82c9f3a92b1ef5 Mon Sep 17 00:00:00 2001
From: Asli Athman <asliathman@gmail.com>
Date: Thu, 21 Jul 2022 18:11:54 -0400
Subject: [PATCH 3/3] Answers newman_conway problem, passes all tests

---
 lib/newman_conway.py | 26 +++++++++++++++++++++-----
 1 file changed, 21 insertions(+), 5 deletions(-)

diff --git a/lib/newman_conway.py b/lib/newman_conway.py
index 70a3353..b6b6700 100644
--- a/lib/newman_conway.py
+++ b/lib/newman_conway.py
@@ -1,10 +1,26 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: O(n)
+# Space Complexity: O(n)
 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
+    outputs = {}
+
+    res = []
+    if num <= 0:
+        raise ValueError
+
+    for n in range(1, num + 1):
+        if n == 1 or n ==2:
+            outputs[n] = 1
+            res.append("1")
+            continue
+
+        val = outputs[outputs[n-1]] + outputs[n - outputs[n - 1]]
+        outputs[n] = val
+        res.append(str(val))
+
+    return " ".join(res)