Rock - Drew Taylor

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
+
+    temp_max = 0
+    true_max = nums[0]
+
+    for i in range(len(nums)):
+        temp_max = max(nums[i], temp_max + nums[i])
+        true_max = max(true_max, temp_max)
+
+    return true_max

lib/newman_conway.py

@@ -1,10 +1,22 @@
-
-
 # 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
+    if num == 0:
+        raise ValueError
+
+    if num == 1:
+        return "1"
+
+    if num == 2:
+        return "1 1"
+
+    nums = [0, 1, 1]
+
+    for i in range (3, num + 1):
+        nums.append(nums[nums[i-1]] + nums[i - nums[i-1]])
+
+    return " ".join([str(item) for item in nums[1:num+1]])