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69 changes: 60 additions & 9 deletions lib/recursive-methods.rb
Original file line number Diff line number Diff line change
@@ -1,49 +1,100 @@
# Authoring recursive algorithms. Add comments including time and space complexity for each method.

## Don't really understand time and space complexity of recursive functions so I'm leaving that blank for now... will come back!
# Time complexity: ?
# Space complexity: ?
# referenced online
def factorial(n)
raise NotImplementedError, "Method not implemented"
raise ArgumentError if n < 0

if n <= 1
return 1
else
return n * factorial(n - 1)
end
end

# Time complexity: ?
# Space complexity: ?
# referenced online
def reverse(s)
raise NotImplementedError, "Method not implemented"
return s if s.length <= 1
new_string = reverse(s[1..-1])
new_string += s[0]
return new_string
end

# Time complexity: ?
# Space complexity: ?
# referenced online
def reverse_inplace(s)
raise NotImplementedError, "Method not implemented"
return s if s.length <= 1
first = s[0]
s = reverse(s[1..-1])
s += s[0]
return s[0...-1] + first
end

# Time complexity: ?
# Space complexity: ?
# referenced online
def bunny(n)
raise NotImplementedError, "Method not implemented"
raise ArgumentError if n < 0

return 0 if n == 0

return 2 + bunny(n - 1)
end

# Time complexity: ?
# Space complexity: ?
# first one i'm really writing myself w/o internet
def nested(s)
raise NotImplementedError, "Method not implemented"
return true if s.length == 0
return false if s.length % 2 == 1

return false unless s[(s.length / 2 - 1)..(s.length / 2)] == "()"
return nested(s[0...s.length / 2 - 1] + s[s.length / 2 + 1..-1])
end

# Time complexity: ?
# Space complexity: ?
# did this one
def search(array, value)
raise NotImplementedError, "Method not implemented"
return false if array.length == 0

return true if array.first == value
array.shift

search(array, value)
end

# Time complexity: ?
# Space complexity: ?
# did this one
def is_palindrome(s)
raise NotImplementedError, "Method not implemented"
return true if s.length == 0
return false if s[0] != s[-1]

is_palindrome(s[1..-2])
end

# Time complexity: ?
# Space complexity: ?
# this one works but i got it partly online and am working to understand it
def digit_match(n, m)
raise NotImplementedError, "Method not implemented"
end
raise ArgumentError if n < 0 || m < 0

if n == 0 && m == 0
return 1
else
result = 0
result += 1 if n % 10 == m % 10

if n / 10 == 0 || m / 10 == 0
return result
end

return result + digit_match(n / 10, m / 10)
end
end
82 changes: 40 additions & 42 deletions specs/recursion_writing_spec.rb
Original file line number Diff line number Diff line change
@@ -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
Expand All @@ -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
Expand All @@ -38,7 +37,7 @@
end
end

xdescribe "reverse" do
describe "reverse" do
it "will reverse 'cat'" do
# Arrange
string = "cat"
Expand Down Expand Up @@ -83,8 +82,7 @@
end
end


xdescribe "reverse_in_place" do
describe "reverse_in_place" do
it "will reverse 'cat'" do
# Arrange
string = "cat"
Expand Down Expand Up @@ -129,7 +127,7 @@
end
end

xdescribe "bunny" do
describe "bunny" do
it "returns 0 for 0 bunnies" do
# Arrange
count = 0
Expand Down Expand Up @@ -164,7 +162,7 @@
end
end

xdescribe "nested" do
describe "nested" do
it "will return true for empystring" do
# Arrange
string = ""
Expand Down Expand Up @@ -210,7 +208,7 @@
end
end

xdescribe "search" do
describe "search" do
it "will return false for empty array" do
# Arrange
item = "a"
Expand All @@ -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 = ""
Expand Down Expand Up @@ -295,7 +293,7 @@
end
end

xdescribe "digit_match" do
describe "digit_match" do
it "returns 4 for 1072503891 and 62530841" do
# Arrange
num1 = 1072503891
Expand All @@ -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
Expand All @@ -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
Expand All @@ -328,7 +326,7 @@
# Act
answer = digit_match(num1, num2)

# Assert
expect(answer).must_equal 3
# Assert
expect(answer).must_equal 3
end
end
end