From bf08e7cadd697af1aae630b2c2b24cfe58931313 Mon Sep 17 00:00:00 2001
From: Jocelyn Wang <wangjoc@gmail.com>
Date: Thu, 15 Oct 2020 14:39:13 -0700
Subject: [PATCH 1/2] newman_conway

---
 lib/max_subarray.rb  |  4 +---
 lib/newman_conway.rb | 23 +++++++++++++++++++----
 2 files changed, 20 insertions(+), 7 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..d91f34c 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -2,7 +2,5 @@
 # Time Complexity: ?
 # Space Complexity: ?
 def max_sub_array(nums)
-    return 0 if nums == nil
-    
-    raise NotImplementedError, "Method not implemented yet!"
+
 end
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..dfb3adb 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,22 @@
+# Time complexity: O(n)
+# Space Complexity: O(n)
+def newman_conway(num)
+  raise ArgumentError if num == 0
+  array = [num, 0]
 
+  count = 1
+  
+  until count > num
+    if count == 1 || count == 2
+      array[count] = 1
+    else
+      array[count] = array[array[count - 1]] + array[count - array[count - 1]]
+    end
+    
+    count += 1
+  end
 
-# Time complexity: ?
-# Space Complexity: ?
-def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  p array[1..(array.length - 1)].join(' ')
+
+  array[1..(array.length - 1)].join(' ')
 end
\ No newline at end of file

From bfe01154638b591070c97277b46d7d0e7f2f6fcb Mon Sep 17 00:00:00 2001
From: Jocelyn Wang <wangjoc@gmail.com>
Date: Thu, 15 Oct 2020 15:20:47 -0700
Subject: [PATCH 2/2] max_subarray

---
 lib/max_subarray.rb        | 23 ++++++++++++++++++++---
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 21 insertions(+), 4 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index d91f34c..52ed279 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,6 +1,23 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: O(n)
+# Space Complexity: O(1)
 def max_sub_array(nums)
-
+    return nums.inject(:+) if nums.length <= 3
+      
+    max_so_far = nums[0]
+    max_ending_here = nums[0]
+  
+    nums.each do |num|
+      if max_ending_here < num
+        max_ending_here = num
+      elsif num < max_ending_here
+        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/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]