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### | |
# 16. | |
# You have eight balls all of the same size. 7 of them weigh the same, and one of them weighs slightly more. | |
# How can you find the ball that is heavier by using a balance and only two weighings? | |
### | |
module Generator | |
def self.generate_heavier_index(max=8) | |
Time.now.sec.modulo(max) | |
end | |
end | |
class Ball | |
attr_accessor :index | |
def initialize(index, is_heavy) | |
@index = index | |
@is_heavy = index == is_heavy | |
end | |
def heavy? | |
@is_heavy | |
end | |
end | |
class Balance | |
MAX_WEIGHING_TIME = 2 | |
def initialize | |
@count = 0 | |
end | |
def weighing(left, right) | |
count_up! | |
_left = Array(left) | |
_right = Array(right) | |
case | |
when !_left.find(&:heavy?).nil? | |
1 | |
when !_right.find(&:heavy?).nil? | |
-1 | |
else | |
0 | |
end | |
end | |
def heavier?(left, right) | |
count_up! | |
return left unless Array(left).find(&:heavy?).nil? | |
return right unless Array(right).find(&:heavy?).nil? | |
nil | |
end | |
def count_up! | |
raise "You have already been weighing 2 times" if @count > MAX_WEIGHING_TIME | |
@count += 1 | |
end | |
end | |
heavier_index = Generator.generate_heavier_index | |
balls = 8.times.map{|i| Ball.new(i, heavier_index) } | |
_balls = balls.dup | |
balance = Balance.new | |
heaviers = balance.heavier?(balls.pop(3), balls.pop(3)) || balls | |
heavy_one = balance.heavier?(heaviers.pop, heaviers.pop) || heaviers.pop | |
puts <<EOM | |
Concluded: heavy ball's index maybe #{ heavy_one.index }. | |
Actually : heavy ball's index is #{ heavier_index }. | |
EOM |
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