Abigail C - Rock

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: O(n)
+        Space Complexity: O(1)
     """
     if nums == None:
         return 0
     if len(nums) == 0:
         return 0
-    pass
+
+    max_sum = nums[0] 
+    curr_sum = nums[0] 
+
+    for i in range(1, len(nums)):
+        curr_sum = max(curr_sum + nums[i], nums[i])
+        max_sum = max(curr_sum, max_sum)
+
+    return max_sum
+

lib/newman_conway.py

@@ -4,7 +4,17 @@
 # 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 < 1:
+        raise ValueError("Invalid number")
+    if num == 1:
+        return "1"
+    arr = [ 0, 1, 1]
+    for i in range(3,num+1):
+        arr.append(arr[arr[i - 1]] + arr[i - arr[i - 1]])
+
+    arr = [str(item) for item in arr ]
+    return " ".join(arr[1:])
+