diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..279f5a3 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,15 @@
 
-# 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 0 if nums == nil
+  current_sum = nums[0]
+  current_max = current_sum
+  i = 1
+  while i < nums.length
+    current_sum = [current_sum + nums[i], nums[i]].max
+    current_max = [current_sum, current_max].max
+    i += 1
+  end
+  return current_max
 end
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..7273f68 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,21 @@
 
 
-# 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 == 0
+  return "1" if num == 1
+  result = "1 1"
+  n = 3
+  while n <= num
+    conway_num = newman_recursive(n)
+    result += " " + conway_num.to_s
+    n += 1
+  end
+  return result
+end
+
+def newman_recursive(n)
+  return 1 if n <= 2
+  return newman_recursive(newman_recursive(n - 1)) + newman_recursive(n - newman_recursive(n - 1))
+end
diff --git a/test/max_sub_array_test.rb b/test/max_sub_array_test.rb
index 3253cdf..c83ef94 100644
--- a/test/max_sub_array_test.rb
+++ b/test/max_sub_array_test.rb
@@ -1,9 +1,9 @@
 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]
+    input = [-2, 1, -3, 4, -1, 2, 1, -5, 4]
 
     # Act
     answer = max_sub_array(input)
@@ -25,7 +25,7 @@
 
   it "will work with a totally negative array with the largest element at the rear" do
     # Arrange
-    input = [ -4, -5, -6, -7, -3]
+    input = [-4, -5, -6, -7, -3]
 
     # Act
     answer = max_sub_array(input)
@@ -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
@@ -66,5 +66,4 @@
     # Assert
     expect(answer).must_equal 50
   end
-
-end
\ No newline at end of file
+end
diff --git a/test/newman_conway_test.rb b/test/newman_conway_test.rb
index 537d376..5476d10 100644
--- a/test/newman_conway_test.rb
+++ b/test/newman_conway_test.rb
@@ -24,31 +24,30 @@
   end
 
   it "works with base cases" do
-        # Arrange
-        input = 0
-
-        # Act-Assert
-        expect {
-          newman_conway(input)
-        }.must_raise ArgumentError
-    
-
-        # Arrange
-        input = 1
-
-        # Act
-        answer = newman_conway(input)
-    
-        # Assert
-        expect(answer).must_equal "1"
-
-        # Arrange
-        input = 2
-
-        # Act
-        answer = newman_conway(input)
-    
-        # Assert
-        expect(answer).must_equal "1 1"        
+    # Arrange
+    input = 0
+
+    # Act-Assert
+    expect {
+      newman_conway(input)
+    }.must_raise ArgumentError
+
+    # Arrange
+    input = 1
+
+    # Act
+    answer = newman_conway(input)
+
+    # Assert
+    expect(answer).must_equal "1"
+
+    # Arrange
+    input = 2
+
+    # Act
+    answer = newman_conway(input)
+
+    # Assert
+    expect(answer).must_equal "1 1"
   end
 end