From 151472ad88c8cd36b96bad03867f1f6646fc7a50 Mon Sep 17 00:00:00 2001
From: vwhwang <vwhwang38@gmail.com>
Date: Sun, 4 Oct 2020 14:07:16 -0700
Subject: [PATCH 1/2] wave 1 done

---
 lib/newman_conway.rb | 21 ++++++++++++++++++---
 1 file changed, 18 insertions(+), 3 deletions(-)

diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..1a3b405 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,22 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: O(n)
+# Space Complexity: O(n)
+
+# P(n) = P(P(n - 1)) + P(n - P(n - 1)
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  if num < 1
+    raise ArgumentError.new
+  end 
+
+  return "1" if num == 1 
+  return "1 1" if num == 2
+  result = [0,1,1]
+ 
+  for i in (3..num) do 
+    answer = result[result[i - 1]] + result[i - result[i - 1]]
+    result.append(answer)
+  end 
+ 
+  return result[1,result.length - 1].join(" ")
 end
\ No newline at end of file

From 9742df6e978ac2ee4768db81fe94e8ad9bb2c446 Mon Sep 17 00:00:00 2001
From: vwhwang <vwhwang38@gmail.com>
Date: Sun, 4 Oct 2020 14:33:46 -0700
Subject: [PATCH 2/2] done

---
 lib/max_subarray.rb        | 16 ++++++++++++----
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 13 insertions(+), 5 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..ea396e6 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,16 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+
+# Time Complexity: O(n)
+# Space Complexity: O(n)
 def max_sub_array(nums)
     return 0 if nums == nil
-    
-    raise NotImplementedError, "Method not implemented yet!"
+    max_ending_here = nums[0]
+    max_so_far = nums[0]
+
+    for i in (1..nums.length - 1 ) do 
+        max_ending_here = [nums[i], max_ending_here + nums[i]].max
+        max_so_far = [max_so_far, max_ending_here].max 
+    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]