From 902f983c42de5331c9970a063389cbd0ceef28b3 Mon Sep 17 00:00:00 2001
From: Mariya Burrows <mariya.burrows@gmail.com>
Date: Mon, 30 Mar 2020 20:48:07 -0700
Subject: [PATCH] completed hw

---
 lib/max_subarray.rb  | 25 +++++++++++++++++++++----
 lib/newman_conway.rb | 32 +++++++++++++++++++++++++++++---
 2 files changed, 50 insertions(+), 7 deletions(-)

diff --git a/lib/max_subarray.rb b/lib/max_subarray.rb
index 5204edb..98577ce 100644
--- a/lib/max_subarray.rb
+++ b/lib/max_subarray.rb
@@ -1,8 +1,25 @@
 
-# Time Complexity: ?
-# Space Complexity: ?
+# Time Complexity: O(n)
+# Space Complexity: O(1)
 def max_sub_array(nums)
-    return 0 if nums == nil
+    return 0 if nums == nil || nums.empty?
     
-    raise NotImplementedError, "Method not implemented yet!"
+    max = nums[0]
+    current = nums[0]
+    
+    nums.each do |index|
+        temp = current + max[index]
+        
+        if temp > nums[index]
+            current = max
+        else
+            current = nums[index]
+        end
+        
+        if max < current 
+            max = current
+        end
+    end
+    
+    return max
 end
diff --git a/lib/newman_conway.rb b/lib/newman_conway.rb
index 4c985cd..617935d 100644
--- a/lib/newman_conway.rb
+++ b/lib/newman_conway.rb
@@ -1,7 +1,33 @@
 
 
-# Time complexity: ?
-# Space Complexity: ?
+# Time complexity: O(1)
+# Space Complexity: O(n)
+
+def newman_helper(num, newman_hash)
+  if newman_hash[num]
+    return newman_hash[num]
+  end
+  
+  if num == 1 || num == 2
+    return 1 
+  else
+    newman_hash[num] = newman_helper(newman_helper(num - 1, newman_hash), newman_hash) + 
+    newman_helper(num - newman_helper(num - 1, newman_hash), newman_hash)
+    return newman_hash[num]
+  end
+end
+
 def newman_conway(num)
-  raise NotImplementedError, "newman_conway isn't implemented"
+  newman_hash = {}
+  
+  if num < 1
+    raise ArgumentError
+  end
+  newman_array = []
+  
+  num.times do |i|
+    newman_array << newman_helper(i + 1, newman_hash)
+  end
+  
+  return newman_array.join(" ")
 end
\ No newline at end of file