From a61191d8abcc290f6ef4ee0256709620b933f17d Mon Sep 17 00:00:00 2001
From: Eve Le <nguyenthao.lee@gmail.com>
Date: Mon, 30 Mar 2020 01:40:24 -0700
Subject: [PATCH 1/2] implemented newman_conway

---
 lib/newman_conway.rb | 18 +++++++++++++-----
 1 file changed, 13 insertions(+), 5 deletions(-)

diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..8e22eec 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,15 @@
-
-
-# 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
+  output = Array.new()
+  num.times do |i|
+    if i < 2
+      output << 1
+    else
+      previous = output[i - 1]
+      output << output[previous - 1] + output[i - previous]
+    end
+  end
+  return output.join(" ")
 end
\ No newline at end of file

From ba207e2e067f596337faa284108c1fb4bece6b4d Mon Sep 17 00:00:00 2001
From: Eve Le <nguyenthao.lee@gmail.com>
Date: Mon, 30 Mar 2020 01:58:01 -0700
Subject: [PATCH 2/2] Implemented max_sub_array

---
 lib/max_subarray.rb        | 25 +++++++++++++++++++------
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 20 insertions(+), 7 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..ab36051 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,21 @@
-
-# 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!"
+  result = nil
+  if nums == nil
+    result = 0
+  elsif nums.length > 0
+    max_so_far = 0
+    max_ending_here = 0
+    largest_element = nums[0]
+    nums.each do |element|
+      max_ending_here = max_ending_here + element
+      
+      max_ending_here = 0 if max_ending_here < 0
+      max_so_far = max_ending_here if max_so_far < max_ending_here        
+      largest_element = element if element > largest_element
+    end
+    result = (largest_element < 0) ? largest_element : max_so_far
+  end
+  return result
 end
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]