diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..5a7a5ef 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,22 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: o(n) - one loop for each num in nums
+# Space Complexity: o(1) - creates 2 variables only, no matter value of nums
 def max_sub_array(nums)
-    return 0 if nums == nil
+    return 0 if nums.nil? 
+    return nil if nums.empty?
     
-    raise NotImplementedError, "Method not implemented yet!"
-end
+    max_so_far = nums[0]
+    max_for_sub_array = 0
+
+    nums.each do |num|
+      max_for_sub_array = max_for_sub_array + num
+      if num > max_for_sub_array
+        max_for_sub_array = num
+      end
+      if max_for_sub_array > max_so_far
+        max_so_far = max_for_sub_array
+      end
+    end
+    return max_so_far
+
+end
\ No newline at end of file
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..c0c4daf 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,20 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: o(n) - runtime for most values of num and in worst case is n - 2 calculations
+# Space Complexity: o(n) - size of sequence and answer string has linear dependency on value of num
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  raise ArgumentError if num == 0
+  return "1" if num == 1
+  return "1 1" if num == 2
+
+  sequence = [0, 1, 1]
+
+  answer = "1 1"
+
+  (3..num).each do |n|
+    p_last = sequence[n - 1]
+    sequence << (sequence[p_last] + sequence[n - p_last])
+    answer += " #{sequence[n]}"
+  end
+  return answer
 end
\ No newline at end of file
diff --git a/test/max_sub_array_test.rb b/test/max_sub_array_test.rb
index 3253cdf..e27e1ca 100644
--- a/test/max_sub_array_test.rb
+++ b/test/max_sub_array_test.rb
@@ -1,6 +1,6 @@
 require_relative "test_helper"
 
-xdescribe "max subarray" do
+describe "max subarray" do
   it "will work for [-2,1,-3,4,-1,2,1,-5,4]" do
     # Arrange
     input = [-2,1,-3,4,-1,2,1,-5,4]