#!/usr/bin/ruby #coding:utf-8 #ideoneだとstdin欄に長さ制限があるようなので、引っかからないように事前圧縮してみた。 #勿論、CodeIQでの提出にはそんな面倒なことしてませんのでご安心を。 require 'stringio' require 'zlib' require 'base64' #下でnext unlessしているのを何とかしたいなーと思ってfacetsを探したらありました。find_yieldだそうです。 #私もArray#unique_permutationとかEnumerable#squeezeとかcontributeしましたけれども、やはりfacetsは便利ですね。 module Enumerable def find_yield(fallback=nil) each do |member| result = yield(member) return result if result end fallback end end def check_and_sum(data,diff,calc,start,stop,&block) return nil unless 0.step(data.size-1).all?{|i| data[i]==calc[i] } cycle=diff.size s=0 if stop-start<cycle (start-1).step(stop-1){|i| s+=calc[i] } else start-=1 while start%cycle!=0 s+=calc[start] start+=1 end stop-=1 while stop%cycle!=cycle-1 s+=calc[stop] stop-=1 end len=(stop+1-start)/cycle cycle.times{|i| s+=block.call(start,len,i) } #start.step(stop){|s,i| # s+=calc[i] #} end s end def common(data,&block) 1.step(data.size/2).find_yield(&block) end f=StringIO.new(Zlib.inflate(Base64.decode64($<.read))) while f.gets line=$_.split id=line[0] data=line[1].split(',').map(&:to_i) start=line[2].to_i stop=line[3].to_i expect=line[4].to_i #break if id[0,1]!='T' sum=nil sum||=common(data){|cycle| diff=cycle.times.map{|j|data[cycle+j]-data[j]} calc=lambda{|n|data[n%cycle]+diff[n%cycle]*(n/cycle)} check_and_sum(data,diff,calc,start,stop){|start,len,i| #初項x、公差diff[i]、len個 x=calc[start+i] len*(2*x+(len-1)*diff[i])/2 } } sum||=common(data){|cycle| next if cycle.times.any?{|j|(data[cycle+j]%data[j] rescue 0)>0} diff=cycle.times.map{|j|data[cycle+j]/data[j] rescue 0} calc=lambda{|n|data[n%cycle]*diff[n%cycle]**(n/cycle)} check_and_sum(data,diff,calc,start,stop){|start,len,i| #初項x、公比diff[i]、len個 x=calc[start+i] if diff[i]==1 x*len else x*(1-diff[i]**len)/(1-diff[i]) end } } raise ('Cannot guess: '+data*',') unless sum puts id if sum!=expect end __END__ 【解答】 101,104,109,416,425,436,949,964,981 【感想・工夫した点など】 ある周期単位で等差数列になっている。 等差数列の和の公式を使うことで高速化した。 X 1,1,2,1,1,4,1,1,8 12 12 16 のような入力にも対応できます。 0が混ざった数列にも対応しました。 尤も等差と等比が混ざった数列には対応できませんが、それをやろうと思ったら本格的なAIが必要なのかなと思っています。 関数を切り出し、可読性を少し上げました。 よく考えるとブロック中のstartとiに対してはstart+iがcalcの引数になることが保証されているので、そうしました。 common_differenceとcommon_ratioのブロックを切り出しましたが、読みにくくなった気がします。 等差と等比が混ざった数列の場合総当りが必要になるので、ここを切り出したのは微妙だったかもしれません。 「if stop-start<cycle」は、「stopとstartがcycle以上離れているならば、その中にcycleの倍数が必ず含まれる」の否定を表しています。 【言語と処理系】 Ruby 2.0 【ソースコード】
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