From 80bd27dac109efe56eb765a4e41e949820188222 Mon Sep 17 00:00:00 2001
From: Rinostar <codingrinostar@gmail.com>
Date: Sat, 16 May 2020 22:33:59 -0700
Subject: [PATCH 1/3] newman_conway

---
 lib/newman_conway.rb | 21 ++++++++++++++++-----
 1 file changed, 16 insertions(+), 5 deletions(-)

diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..9ca731f 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,18 @@
+# Time complexity: O(n)
+# Space Complexity: O(n)
 
-
-# Time complexity: ?
-# Space Complexity: ?
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
-end
\ No newline at end of file
+  raise ArgumentError if num < 1
+  return "1" if num == 1
+  return "1 1" if num == 2
+  
+  s = [0, 1, 1]
+  result = "1 1"
+
+  for i in 3..num
+    s[i] = s[s[i - 1]] + s[i - s[i - 1]]
+    result << " #{s[i]}"
+  end
+
+  return result
+end

From baf8cee01f67d0ad876be38bf65695aae843ac86 Mon Sep 17 00:00:00 2001
From: Rinostar <codingrinostar@gmail.com>
Date: Sat, 16 May 2020 23:27:09 -0700
Subject: [PATCH 2/3] max_subarray

---
 lib/max_subarray.rb        | 23 +++++++++++++++++++++--
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 22 insertions(+), 3 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..13055b1 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,27 @@
-
 # Time Complexity: ?
 # Space Complexity: ?
+
 def max_sub_array(nums)
     return 0 if nums == nil
+    return nil if nums == []
     
-    raise NotImplementedError, "Method not implemented yet!"
+    curr_max = nums[0]
+    max_so_far = nums[0]
+
+    i = 1
+    until i == nums.length
+        if curr_max + nums[i] < nums[i]
+            curr_max = nums[i]
+        else
+            curr_max += nums[i]
+        end
+
+        if curr_max > max_so_far
+            max_so_far = curr_max
+        end
+        
+        i += 1
+    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]

From 24f92577102795b4074e48814db71cd347c9b4ea Mon Sep 17 00:00:00 2001
From: Rinostar <codingrinostar@gmail.com>
Date: Sat, 16 May 2020 23:29:15 -0700
Subject: [PATCH 3/3] add runtime

---
 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 13055b1..eb31396 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,5 +1,5 @@
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: O(n)
+# Space Complexity: O(1)
 
 def max_sub_array(nums)
     return 0 if nums == nil