diff --git a/lib/recursive-methods.rb b/lib/recursive-methods.rb
index fbf6faa..e529788 100644
--- a/lib/recursive-methods.rb
+++ b/lib/recursive-methods.rb
@@ -1,49 +1,85 @@
 # Authoring recursive algorithms. Add comments including time and space complexity for each method.
-
-# Time complexity: ?
-# Space complexity: ?
+require "pry"
+# Time complexity: O(n)
+# Space complexity: O(n)
 def factorial(n)
-    raise NotImplementedError, "Method not implemented"
+  raise ArgumentError if n < 0
+  return 1 if n == 0 || n == 1
+  return n * factorial(n - 1)
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the string
+# Space complexity: O(n) where n is the length of the string
 def reverse(s)
-    raise NotImplementedError, "Method not implemented"
+  return s if s.length <= 1
+  return s[-1] + reverse(s[0..s.length - 2])
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the string
+# Space complexity: O(n) where n is the length of the string
 def reverse_inplace(s)
-    raise NotImplementedError, "Method not implemented"
+  return s if s.length <= 1
+  return s[-1] + reverse(s[0..s.length - 2])
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n)
+# Space complexity: O(n)
 def bunny(n)
-    raise NotImplementedError, "Method not implemented"
+  if n == 0
+    return 0
+  else
+    return 2 + bunny(n - 1)
+  end
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the string
+# Space complexity: O(n) where n is the length of the string
 def nested(s)
-    raise NotImplementedError, "Method not implemented"
+  if s.length == 0
+    return true
+  else
+    if s[0] != s[-1]
+      nested(s[1..-2])
+    else
+      return false
+    end
+  end
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the array
+# Space complexity: O(n) where n is the length of the array
 def search(array, value)
-    raise NotImplementedError, "Method not implemented"
+  return false if array.length == 0
+  if array[0] == value
+    return true
+  else
+    search(array[1..-1], value)
+  end
+
+  # else
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the string
+# Space complexity: O(n) where n is the length of the string
 def is_palindrome(s)
-    raise NotImplementedError, "Method not implemented"
+  if s.length == 1 || s.length == 0
+    return true
+  else
+    if s[0] == s[-1]
+      is_palindrome(s[1..-2])
+    else
+      return false
+    end
+  end
 end
 
-# Time complexity: ?
-# Space complexity: ?
+# Time complexity: O(n) where n is the length of the longer array
+# Space complexity: O(n) where n is the length of the longer array
 def digit_match(n, m)
-    raise NotImplementedError, "Method not implemented"
-end
\ No newline at end of file
+  counter = 0
+  return counter if n[-1] == nil || n[-2] == nil
+  if n[-1] == m[-1]
+    counter += 1
+    digit_match[n[0..-2], m[0..-2]]
+  end
+end
diff --git a/specs/recursion_writing_spec.rb b/specs/recursion_writing_spec.rb
index d8fb1ed..a98b7ff 100644
--- a/specs/recursion_writing_spec.rb
+++ b/specs/recursion_writing_spec.rb
@@ -1,7 +1,7 @@
-require 'minitest/autorun'
-require 'minitest/reporters'
+require "minitest/autorun"
+require "minitest/reporters"
 require "minitest/skip_dsl"
-require_relative '../lib/recursive-methods'
+require_relative "../lib/recursive-methods"
 
 describe "factorial" do
   it "will find the factorial of 0" do
@@ -23,8 +23,7 @@
     answer = factorial(num)
 
     # Assert
-    expect(answer).must_equal 5*4*3*2*1
-
+    expect(answer).must_equal 5 * 4 * 3 * 2 * 1
   end
 
   it "will raise an ArgumentError if given a number not >= 0" do
@@ -38,7 +37,7 @@
   end
 end
 
-xdescribe "reverse" do
+describe "reverse" do
   it "will reverse 'cat'" do
     # Arrange
     string = "cat"
@@ -83,8 +82,7 @@
   end
 end
 
-
-xdescribe "reverse_in_place" do
+describe "reverse_in_place" do
   it "will reverse 'cat'" do
     # Arrange
     string = "cat"
@@ -129,7 +127,7 @@
   end
 end
 
-xdescribe "bunny" do
+describe "bunny" do
   it "returns 0 for 0 bunnies" do
     # Arrange
     count = 0
@@ -164,7 +162,7 @@
   end
 end
 
-xdescribe "nested" do
+describe "nested" do
   it "will return true for empystring" do
     # Arrange
     string = ""
@@ -210,7 +208,7 @@
   end
 end
 
-xdescribe "search" do
+describe "search" do
   it "will return false for empty array" do
     # Arrange
     item = "a"
@@ -224,43 +222,43 @@
   end
 
   it "will return true when looking for something in the array" do
-  # Arrange
-  item = "a"
-  array = ["b", "c", "a"]
+    # Arrange
+    item = "a"
+    array = ["b", "c", "a"]
 
-  # Act
-  answer = search(array, item)
+    # Act
+    answer = search(array, item)
 
-  # Assert
-  expect(answer).must_equal true
+    # Assert
+    expect(answer).must_equal true
   end
 
   it "will return false when looking for something not in the array" do
     # Arrange
     item = "x"
     array = ["b", "c", "a"]
-  
+
     # Act
     answer = search(array, item)
-  
+
     # Assert
     expect(answer).must_equal false
-    end
-
-    it "will return true when finding something at the front of the array" do
-      # Arrange
-      item = "b"
-      array = ["b", "c", "a"]
-    
-      # Act
-      answer = search(array, item)
-    
-      # Assert
-      expect(answer).must_equal true
-    end      
+  end
+
+  it "will return true when finding something at the front of the array" do
+    # Arrange
+    item = "b"
+    array = ["b", "c", "a"]
+
+    # Act
+    answer = search(array, item)
+
+    # Assert
+    expect(answer).must_equal true
+  end
 end
 
-xdescribe "is_palindrome" do
+describe "is_palindrome" do
   it "will return true for emptystring" do
     # Arrange
     string = ""
@@ -304,8 +302,8 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 4
+    # Assert
+    expect(answer).must_equal 4
   end
 
   it "returns 0 for nonmatching numbers" do
@@ -316,8 +314,8 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 0
+    # Assert
+    expect(answer).must_equal 0
   end
 
   it "returns 3 for 841 and 62530841" do
@@ -328,7 +326,7 @@
     # Act
     answer = digit_match(num1, num2)
 
-     # Assert
-     expect(answer).must_equal 3
+    # Assert
+    expect(answer).must_equal 3
   end
-end
\ No newline at end of file
+end