diff --git a/.gitignore b/.gitignore
new file mode 100644
index 0000000..59d3ad4
--- /dev/null
+++ b/.gitignore
@@ -0,0 +1,2 @@
+.idea
+.Gemfile.lock
diff --git a/lib/recursive-methods.rb b/lib/recursive-methods.rb
index fbf6faa..204d617 100644
--- a/lib/recursive-methods.rb
+++ b/lib/recursive-methods.rb
@@ -1,49 +1,103 @@
+# frozen_string_literal: true
+
 # Authoring recursive algorithms. Add comments including time and space complexity for each method.
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) Linear -  Method is called n times. Time to complete the work grows in a 1 to 1 relation to input size.
+# Space complexity: O(n) Linear - Stack grows with each iteration so space is linearly proportional to the size of the input.
 def factorial(n)
-    raise NotImplementedError, "Method not implemented"
+    raise ArgumentError unless n >= 0
+    return 1 if n.zero? || n == 1
+
+    n * factorial(n - 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def reverse(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n) Linear -  Method is called n times. Time to complete the work grows in a 1 to 1 relation to input size.
+# Space complexity: O(n) Linear - Stack grows with each iteration so space is linearly proportional to the size of the input.
+def reverse(s, i = 0, j = s.length - 1)
+    # raise NotImplementedError, "Method not implemented"
+    return s if s.length <= 1
+    return '' if s.empty?
+
+    if i < j
+        temp = s[i]
+        s[i] = s[j]
+        s[j] = temp
+        return reverse(s, i + 1, j - 1)
+    else
+        return s
+    end
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def reverse_inplace(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(n)
+def reverse_inplace(s, i = 0, j = s.length - 1)
+    if i < j
+        temp = s[i]
+        s[i] = s[j]
+        s[j] = temp
+        return reverse_inplace(s, i + 1, j - 1)
+    else
+        return s
+    end
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) Linear - Time to complete the work grows in a 1 to 1 relation to input size.
+# Space complexity: O(n) Linear - Stack grows with each iteration so space is linearly proportional to the size of the input.
 def bunny(n)
-    raise NotImplementedError, "Method not implemented"
+    # raise NotImplementedError, "Method not implemented"
+    return 0 if n <= 0
+    return 2 if n == 1
+
+    2 + bunny(n - 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n2)
+# Space complexity: O(n2)
 def nested(s)
-    raise NotImplementedError, "Method not implemented"
+    # raise NotImplementedError, "Method not implemented"
+    return true if s.empty?
+    return false unless s[0] == "(" && s[-1] == ")"
+
+    return nested(s[1..-2])
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def search(array, value)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n) method is called n times, this depends on array length
+# Space complexity: O(n) Stack grows with each iteration so space is linearly proportional to the size of the input.
+def search(array, value, i = 0)
+    # raise NotImplementedError, "Method not implemented"
+    return false if array.empty?
+
+    if i < array.length
+        return true if array[i] == value
+
+        return search(array, value, i + 1)
+    else
+        return false
+    end
 end
 
-# Time complexity: ?
-# Space complexity: ?
-def is_palindrome(s)
-    raise NotImplementedError, "Method not implemented"
+# Time complexity: O(n)
+# Space complexity: O(n)
+def is_palindrome(s, i = 0, j = s.length - 1)
+    # raise NotImplementedError, "Method not implemented"
+    return true if s.empty?
+    return true if s.length == 1
+
+    if i < j
+        return false unless s[i] == s[j]
+
+        return is_palindrome(s, i + 1, j - 1)
+    else
+        return true
+    end
 end
 
 # Time complexity: ?
 # Space complexity: ?
 def digit_match(n, m)
-    raise NotImplementedError, "Method not implemented"
+    # raise NotImplementedError, 'Method not implemented'
+    if (n < 0 || m < 0) || (n == 0 && m == 0)
+        return 1
+    end
+    # need to think about this one but turning in what I have for now.
 end
\ No newline at end of file
diff --git a/test/recursion_writing_test.rb b/test/recursion_writing_test.rb
index 3b30725..94dc6cd 100644
--- a/test/recursion_writing_test.rb
+++ b/test/recursion_writing_test.rb
@@ -167,7 +167,7 @@
   end
 end
 
-xdescribe "nested" do
+describe "nested" do
   it "will return true for empystring" do
     # Arrange
     string = ""
@@ -213,7 +213,7 @@
   end
 end
 
-xdescribe "search" do
+describe "search" do
   it "will return false for empty array" do
     # Arrange
     item = "a"
@@ -263,7 +263,7 @@
     end      
 end
 
-xdescribe "is_palindrome" do
+describe "is_palindrome" do
   it "will return true for emptystring" do
     # Arrange
     string = ""