diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..878fde1 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,17 @@
 
-# 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!"
+
+    max = nums[0]
+    max_sum = nums[0]
+    i = 1
+
+    while i <= (nums.length - 1)
+        max = [nums[i], (max + nums[i])].max
+        max_sum = max if max > max_sum
+        i += 1
+    end
+    return max_sum
 end
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..a1dec3b 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,25 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: O(n)
+# Space Complexity: O(n)
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  raise ArgumentError if num < 1
+  return "1" if num == 1
+  return "1 1" if num == 2
+
+  array = Array.new(num, 0)
+  i = 1
+
+  while i <= num 
+    if i == 1 || i == 2
+      array[i] = 1
+    else
+      array[i] = array[array[i - 1]] + array[i - array[i-1]]
+    end
+    i += 1
+  end
+
+  array.shift # remove first element
+  
+  return array.join(' ')
 end
\ No newline at end of file