From 5ed62cd9d3d3daae20611a9f4be5aba6f20db37f Mon Sep 17 00:00:00 2001
From: Jetmire Bajrami <jetmirebajrami@Jetmires-MacBook-Pro.local>
Date: Sun, 4 Oct 2020 22:22:32 -0700
Subject: [PATCH 1/2] added newman_conway method

---
 lib/newman_conway.rb | 20 +++++++++++++++++---
 1 file changed, 17 insertions(+), 3 deletions(-)

diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..a17be70 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,21 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: 0(n)?
+# Space Complexity: 0(n)?
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  raise ArgumentError if num == 0
+  array = []
+
+  array.push(1)
+  return array.join(" ") if num == 1
+  
+  array.push(1)
+  return array.join(" ") if num == 2
+
+  i = 2
+  while i < num
+    array[i] = array[array[i-1]-1] + array[i - array[i-1]]
+    i += 1
+  end
+ return array.join(" ")
 end
\ No newline at end of file

From 2676021d8ffa07506dbccaf9e57232e674835bff Mon Sep 17 00:00:00 2001
From: Jetmire Bajrami <jetmirebajrami@Jetmires-MacBook-Pro.local>
Date: Sun, 4 Oct 2020 22:45:16 -0700
Subject: [PATCH 2/2] added max_sub_array and apassed the tests

---
 lib/max_subarray.rb        | 24 +++++++++++++++++++++---
 test/max_sub_array_test.rb |  2 +-
 2 files changed, 22 insertions(+), 4 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..812c15d 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,26 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: 0(n)?
+# Space Complexity: 0(1)?
 def max_sub_array(nums)
     return 0 if nums == nil
+    return nil if nums == []
+
+    local_max = 0
+    global_max = 0
+    
+    i = 0
+    while i < nums.length
+        local_max = local_max + nums[i]
+        local_max = local_max < 0 ? 0 : local_max
+        if local_max > global_max
+        global_max = local_max
+        end
+        i += 1
+    end
+    
+    if global_max == 0
+        global_max = nums.max
+    end
     
-    raise NotImplementedError, "Method not implemented yet!"
+    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]