Created
March 16, 2013 00:09
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Mastermind, Knuth's solution in Ruby.
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module Mastermind | |
class Color < Struct.new(:symbol) | |
def to_s | |
symbol.to_s | |
end | |
end | |
class Colors < Array | |
def all_possibilities(pegs_count) | |
repeated_permutation(pegs_count).map do |c| | |
Combination.new(c) | |
end | |
end | |
end | |
class Answer < Struct.new(:blacks, :whites); | |
def to_s | |
"B: #{blacks} W: #{whites}" | |
end | |
end | |
class Combination < Array | |
def score(other) | |
other_combination = other.dup | |
black_count = zip(other_combination).find_all { |a, b| a==b }.count | |
white_count = inject(0) { |mem, peg| | |
if (index = other_combination.index(peg)) | |
other_combination.delete_at index | |
mem += 1 | |
end | |
mem | |
} - black_count | |
Answer.new(black_count, white_count) | |
end | |
def self.from_symbols(symbols) | |
Combination.new(symbols.map { |s| Color.new(s) }) | |
end | |
def to_s | |
join('') | |
end | |
end | |
class KnuthAlgorithm | |
def initialize(colors, pegs_count) | |
@colors = colors | |
@pegs_count = pegs_count | |
create_possibilities_set | |
create_pegs_combinations | |
end | |
def attempt(before_combinations, old_scores) | |
@before_combinations, @old_scores = before_combinations, old_scores | |
return first_guess if before_combinations.empty? | |
reject_infeasible! | |
find_best | |
end | |
private | |
def reject_infeasible! | |
@before_combinations.zip(@old_scores).each do |combination, score| | |
@possibilities.reject! { |answer| | |
answer.score(combination) != score } | |
end | |
end | |
def find_best | |
@possibilities.max_by do |g| | |
@answers_combination.map do |answer| | |
@all_possibilities.map do |p| | |
p.score(g) != answer ? 1 : 0 | |
end.inject(:+) | |
end.min | |
end | |
end | |
def first_guess | |
half_pegs_count = @pegs_count/2 | |
Combination.new([@colors[0]] * half_pegs_count + [@colors[1]] * (@pegs_count - half_pegs_count)) | |
end | |
def create_possibilities_set | |
@possibilities = @colors.all_possibilities(@pegs_count) | |
@all_possibilities = @possibilities.dup | |
end | |
def create_pegs_combinations | |
@answers_combination = [:white, :black, :none].repeated_permutation(@pegs_count).map do |combination| | |
Answer.new(combination.count(:black), combination.count(:white)) | |
end | |
end | |
end | |
class Mastermind < Struct.new(:attempts_count) | |
def initialize(hidden_combination, algorithm_class) | |
@hidden_combination = hidden_combination | |
@algorithm = algorithm_class.new(colors, pegs_count) | |
check_combination | |
end | |
def play | |
@combinations, @scores, @attempts = [], [], 0 | |
puts "Hidden combination: #{@hidden_combination}" | |
loop do | |
answer = @algorithm.attempt(@combinations, @scores) | |
score = answer.score @hidden_combination | |
puts "Attempt: #{answer}, Score: #{score}" | |
@attempts += 1 | |
@combinations << answer | |
@scores << score | |
break if win?(score) | |
end | |
end | |
def win?(score) | |
score.blacks == pegs_count | |
end | |
def pegs_count | |
4 | |
end | |
def colors | |
@allowed_colors ||= Colors.new(%w(A B C D E F).map { |symbol| Color.new(symbol) }) | |
end | |
private | |
def check_combination | |
@hidden_combination.each do |color| | |
raise "Color #{color} is not suitable." unless colors.include?(color) | |
end | |
end | |
end | |
end | |
game = Mastermind::Mastermind.new(Mastermind::Combination.from_symbols(ARGV.first.split('')), Mastermind::KnuthAlgorithm) | |
game.play |
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What modifications should I make so the code generates a next guess, given a current guess and an answer?