Created
January 27, 2012 13:56
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n本の様々な長さの棒の中から3本使って、できるだけ周長の長い三角形を作る | ruby pythagorean.rb n(省略時:15)
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class Pythagorean | |
def initialize(n) | |
@sticks = [ *1 .. ( { 0 => 15 }[n] || n ) ] | |
@triples = @sticks.map(&:to_f).combination(3) | |
end | |
def triples | |
@triples.select( &theorem ).map { |e| e.map(&:to_i) } | |
end | |
def theorem | |
lambda { |args| Math.hypot(*args[0..1]) == args[2] } | |
end | |
def triples_groupby_length | |
triples.group_by { |e| e.inject(:+) } | |
end | |
def triples_of_maxlength(&block) | |
result = triples_groupby_length.max | |
block_given? ? yield(result) : result | |
end | |
def triples_groupby_gcd | |
triples.group_by { |a, b, c| gcd = a.gcd(b).gcd(c) ; [a, b, c].map { |e| e / gcd } } | |
end | |
end | |
if __FILE__ == $0 | |
n = ARGV[0].to_i | |
pythagorean = Pythagorean.new(n) | |
# p pythagorean.triples_groupby_gcd.keys | |
pythagorean.triples_of_maxlength do |length, triples| | |
len = length || "N/A" | |
list = triples ? triples.map(&:inspect) * "," : "N/A" | |
puts <<-OUTPUT | |
MaxLength: #{ len } | |
Triples: #{ list } | |
OUTPUT | |
end | |
end |
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