From 9037c24b2166a25b14138bb8af3306b933298b6e Mon Sep 17 00:00:00 2001
From: Janice Huang <janicehuang@gmail.com>
Date: Sat, 28 Mar 2020 11:55:12 -0700
Subject: [PATCH 1/3] get newman conway passing tests

---
 lib/newman_conway.rb | 17 ++++++++++++++---
 1 file changed, 14 insertions(+), 3 deletions(-)

diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..5778063 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,18 @@
 
 
-# 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, "Number must be greater than zero!" if num < 1
+  return "1" if num == 1
+  return "1 1" if num == 2
+  array = [0, 1, 1]
+  index = 3
+  until index == num + 1
+    new_num = array[array[index - 1]] + array[index - (array[index - 1])]
+    array << new_num
+    index += 1
+  end
+  array.shift
+  return array.join(" ")
 end
\ No newline at end of file

From ad589ad2794fcd6f7aeb7603f98a4c79261a5bd3 Mon Sep 17 00:00:00 2001
From: Janice Huang <janicehuang@gmail.com>
Date: Sat, 28 Mar 2020 20:54:53 -0700
Subject: [PATCH 2/3] get max sub array tests to pass

---
 lib/max_subarray.rb        | 17 ++++++++++++++---
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 15 insertions(+), 4 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..bf9fba4 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -2,7 +2,18 @@
 # Time Complexity: ?
 # Space Complexity: ?
 def max_sub_array(nums)
-    return 0 if nums == nil
-    
-    raise NotImplementedError, "Method not implemented yet!"
+	return 0 if nums == nil
+	return nil if nums == []
+	return nums[0] if nums.length == 1
+	local_max = 0
+	global_max = -Float::INFINITY
+	index = 0
+	while index < nums.length
+		local_max = [nums[index], local_max + nums[index]].max
+		if local_max > global_max
+			global_max = local_max
+		end
+		index += 1
+	end
+	return global_max
 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]

From 5795a213b20db6cab82ef0faefa702f24aee4821 Mon Sep 17 00:00:00 2001
From: Janice Huang <janicehuang@gmail.com>
Date: Sat, 28 Mar 2020 20:58:01 -0700
Subject: [PATCH 3/3] add time and space complexities

---
 lib/max_subarray.rb | 4 ++--
 1 file changed, 2 insertions(+), 2 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index bf9fba4..c59db98 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,6 +1,6 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: O(n)
+# Space Complexity: O(1)
 def max_sub_array(nums)
 	return 0 if nums == nil
 	return nil if nums == []