Kit Sutliff - Cedar

.vscode/settings.json

@@ -0,0 +1,7 @@
+{
+    "python.testing.pytestArgs": [
+        "tests"
+    ],
+    "python.testing.unittestEnabled": false,
+    "python.testing.pytestEnabled": true
+}

README.md

@@ -13,7 +13,8 @@ for all n > 2
 P(n) = P(P(n - 1)) + P(n - P(n - 1))
 ```
 
-Given a number n then print n terms of Newman-Conway Sequence
+For a given a number: n 
+print n terms of Newman-Conway Sequence
 
 Examples:
 

lib/max_subarray.py

@@ -2,11 +2,22 @@
 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
+    if len(nums) == 1:
+        return nums[0]
+    max_sum = nums[0]
+    current_sum = nums[0]
+    for i in range(1, len(nums)):
+        if current_sum + nums[i] > nums[i]:
+            current_sum += nums[i]
+        else:
+            current_sum = nums[i]
+        if current_sum > max_sum:
+            max_sum = current_sum
+    return max_sum

lib/newman_conway.py

@@ -1,10 +1,40 @@
 
+    # # P(1) = 1
+    # # P(2) = 1
+    # # for all n > 2
+    # # P(n) = P(P(n - 1)) + P(n - P(n - 1))
+
+    # for i in range(2, num + 1):
+    #     new_nc_num = nc_nums[nc_nums[i - 1]] + nc_nums[i - nc_nums[i - 1]]
+    #     nc_nums.append(new_nc_num)
+
+
+    # string_list = []
+    # for n in nc_nums:
+    #     string_list.append(str(n))
+
+def sequence(num):
+    if num == 1 or num == 2:
+        return 1
+    else:
+        return sequence(sequence(num-1)) + sequence(num -sequence(num-1))
 
-# 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 Comnewmanslexity: O(n)
+        Space Complexity: O(n)
     """
-    pass
+
+    nc_nums = [1, 1]
+
+    if num < 1:
+        raise ValueError("Num must be greater than 0.")
+
+    for i in range(2, num + 1):
+        nc_nums.append(nc_nums[nc_nums[i - 1] - 1] + nc_nums[i - nc_nums[i - 1]])
+
+    string_list = []
+    for n in nc_nums:
+        string_list.append(str(n))
+
+    return " ".join(string_list[0:num])