ruby - collatz-conjecture
This commit is contained in:
parent
3d38be970c
commit
0c62b03ef1
57
ruby/collatz-conjecture/README.md
Normal file
57
ruby/collatz-conjecture/README.md
Normal file
@ -0,0 +1,57 @@
|
|||||||
|
# Collatz Conjecture
|
||||||
|
|
||||||
|
The Collatz Conjecture or 3x+1 problem can be summarized as follows:
|
||||||
|
|
||||||
|
Take any positive integer n. If n is even, divide n by 2 to get n / 2. If n is
|
||||||
|
odd, multiply n by 3 and add 1 to get 3n + 1. Repeat the process indefinitely.
|
||||||
|
The conjecture states that no matter which number you start with, you will
|
||||||
|
always reach 1 eventually.
|
||||||
|
|
||||||
|
Given a number n, return the number of steps required to reach 1.
|
||||||
|
|
||||||
|
## Examples
|
||||||
|
|
||||||
|
Starting with n = 12, the steps would be as follows:
|
||||||
|
|
||||||
|
0. 12
|
||||||
|
1. 6
|
||||||
|
2. 3
|
||||||
|
3. 10
|
||||||
|
4. 5
|
||||||
|
5. 16
|
||||||
|
6. 8
|
||||||
|
7. 4
|
||||||
|
8. 2
|
||||||
|
9. 1
|
||||||
|
|
||||||
|
Resulting in 9 steps. So for input n = 12, the return value would be 9.
|
||||||
|
|
||||||
|
* * * *
|
||||||
|
|
||||||
|
For installation and learning resources, refer to the
|
||||||
|
[exercism help page](http://exercism.io/languages/ruby).
|
||||||
|
|
||||||
|
For running the tests provided, you will need the Minitest gem. Open a
|
||||||
|
terminal window and run the following command to install minitest:
|
||||||
|
|
||||||
|
gem install minitest
|
||||||
|
|
||||||
|
If you would like color output, you can `require 'minitest/pride'` in
|
||||||
|
the test file, or note the alternative instruction, below, for running
|
||||||
|
the test file.
|
||||||
|
|
||||||
|
Run the tests from the exercise directory using the following command:
|
||||||
|
|
||||||
|
ruby collatz_conjecture_test.rb
|
||||||
|
|
||||||
|
To include color from the command line:
|
||||||
|
|
||||||
|
ruby -r minitest/pride collatz_conjecture_test.rb
|
||||||
|
|
||||||
|
|
||||||
|
## Source
|
||||||
|
|
||||||
|
An unsolved problem in mathematics named after mathematician Lothar Collatz [https://en.wikipedia.org/wiki/3x_%2B_1_problem](https://en.wikipedia.org/wiki/3x_%2B_1_problem)
|
||||||
|
|
||||||
|
## Submitting Incomplete Solutions
|
||||||
|
It's possible to submit an incomplete solution so you can see how others have completed the exercise.
|
17
ruby/collatz-conjecture/collatz_conjecture.rb
Normal file
17
ruby/collatz-conjecture/collatz_conjecture.rb
Normal file
@ -0,0 +1,17 @@
|
|||||||
|
class CollatzConjecture
|
||||||
|
def self.steps(n, count = 0)
|
||||||
|
if n < 1
|
||||||
|
raise ArgumentError
|
||||||
|
elsif n == 1
|
||||||
|
count
|
||||||
|
else
|
||||||
|
count += 1
|
||||||
|
if n % 2 == 0
|
||||||
|
number = n / 2
|
||||||
|
else
|
||||||
|
number = (3 * n) + 1
|
||||||
|
end
|
||||||
|
steps(number, count)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
39
ruby/collatz-conjecture/collatz_conjecture_test.rb
Normal file
39
ruby/collatz-conjecture/collatz_conjecture_test.rb
Normal file
@ -0,0 +1,39 @@
|
|||||||
|
require 'minitest/autorun'
|
||||||
|
require_relative 'collatz_conjecture'
|
||||||
|
|
||||||
|
# Common test data version: 1.2.1 d94e348
|
||||||
|
class CollatzConjectureTest < Minitest::Test
|
||||||
|
def test_zero_steps_for_one
|
||||||
|
# skip
|
||||||
|
assert_equal 0, CollatzConjecture.steps(1)
|
||||||
|
end
|
||||||
|
|
||||||
|
def test_divide_if_even
|
||||||
|
# skip
|
||||||
|
assert_equal 4, CollatzConjecture.steps(16)
|
||||||
|
end
|
||||||
|
|
||||||
|
def test_even_and_odd_steps
|
||||||
|
# skip
|
||||||
|
assert_equal 9, CollatzConjecture.steps(12)
|
||||||
|
end
|
||||||
|
|
||||||
|
def test_large_number_of_even_and_odd_steps
|
||||||
|
# skip
|
||||||
|
assert_equal 152, CollatzConjecture.steps(1_000_000)
|
||||||
|
end
|
||||||
|
|
||||||
|
def test_zero_is_an_error
|
||||||
|
# skip
|
||||||
|
assert_raises(ArgumentError) do
|
||||||
|
CollatzConjecture.steps(0)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
|
||||||
|
def test_negative_value_is_an_error
|
||||||
|
# skip
|
||||||
|
assert_raises(ArgumentError) do
|
||||||
|
CollatzConjecture.steps(-15)
|
||||||
|
end
|
||||||
|
end
|
||||||
|
end
|
Loading…
x
Reference in New Issue
Block a user