diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..d6ad567 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,16 @@
-
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity:  O(n)
+# Space Complexity: O(1)
 def max_sub_array(nums)
     return 0 if nums == nil
-    
-    raise NotImplementedError, "Method not implemented yet!"
-end
+    return nil if nums.empty?
+    max = nums[0]
+    sum = 0
+    i = 0
+    while i < nums.length
+      sum += nums[i]
+      max = sum if sum > max
+      sum = 0 if sum < 0
+      i += 1
+    end
+    return max
+  end
\ No newline at end of file
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..c8d26fe 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,16 @@
-
-
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity:  O(n)
+# Space Complexity: O(n)
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
-end
\ No newline at end of file
+  raise ArgumentError if num < 1
+  return "1" if num == 1
+  sequence = [0, 1, 1]
+  i = 3
+  result = "1 1"
+  until i >= num + 1
+    current = sequence[sequence[i-1]] + sequence[i - (sequence[i-1])]
+    sequence << current
+    result += " #{current}"
+    i += 1
+  end
+  return result
+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]