diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..e175779 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,24 @@
 
-# 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!"
+    return nil if nums.empty?
+    return nums[0] if nums.length == 1
+
+    max_so_far = nums[0]
+    max_ending_here = nums[0]
+
+    for num in nums[1..-1] do         
+        if((max_ending_here + num) > num)
+            max_ending_here = max_ending_here + num
+        else 
+            max_ending_here = num
+        end
+
+        if(max_so_far < max_ending_here)
+            max_so_far = max_ending_here
+        end
+    end
+
+    return max_so_far
 end
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..98ca271 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,22 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: O(n)
+# Space Complexity: O(1)
 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
+
+  array = [0, 1, 1]
+
+  i = 3
+
+  until i == num + 1
+    current = array[array[i - 1]] + array[i - array[i - 1]]
+  
+    array << current
+
+    i += 1
+  end
+  return array[1..-1].join(' ')
 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..ac403f9 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]
@@ -46,14 +46,14 @@
   end
 
   it "will return nil for an empty array" do
-   # Arrange
-   input = []
+    # Arrange
+    input = []
 
-   # Act
-   answer = max_sub_array(input)
+    # Act
+    answer = max_sub_array(input)
 
-   # Assert
-   expect(answer).must_be_nil
+    # Assert
+    expect(answer).must_be_nil
   end
 
   it "will work for [50, -50, 50]" do