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  1. #!/usr/bin/ruby
  2. #coding:utf-8
  3.  
  4. #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。
  5. #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。
  6.  
  7. require 'stringio'
  8. require 'zlib'
  9. require 'base64'
  10.  
  11. #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。
  12. #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。
  13. module Enumerable
  14. def find_yield(fallback=nil)
  15. each do |member|
  16. result = yield(member)
  17. return result if result
  18. end
  19. fallback
  20. end
  21. end
  22.  
  23. def check_and_sum(data,diff,calc,start,stop,&block)
  24. return nil unless 0.step(data.size-1).all?{|i|
  25. data[i]==calc[i]
  26. }
  27. cycle=diff.size
  28. s=0
  29. if stop-start<cycle
  30. (start-1).step(stop-1){|i|
  31. s+=calc[i]
  32. }
  33. else
  34. start-=1
  35. while start%cycle!=0
  36. s+=calc[start]
  37. start+=1
  38. end
  39. stop-=1
  40. while stop%cycle!=cycle-1
  41. s+=calc[stop]
  42. stop-=1
  43. end
  44. len=(stop+1-start)/cycle
  45. cycle.times{|i|
  46. s+=block.call(start,len,i)
  47. }
  48. #start.step(stop){|s,i|
  49. # s+=calc[i]
  50. #}
  51. end
  52. s
  53. end
  54.  
  55. def common(data,&block)
  56. 1.step(data.size/2).find_yield(&block)
  57. end
  58.  
  59. f=StringIO.new(Zlib.inflate(Base64.decode64($<.read)))
  60. while f.gets
  61. line=$_.split
  62. id=line[0]
  63. data=line[1].split(',').map(&:to_i)
  64. start=line[2].to_i
  65. stop=line[3].to_i
  66. expect=line[4].to_i
  67. #break if id[0,1]!='T'
  68.  
  69. sum=nil
  70. sum||=common(data){|cycle|
  71. diff=cycle.times.map{|j|data[cycle+j]-data[j]}
  72. calc=lambda{|n|data[n%cycle]+diff[n%cycle]*(n/cycle)}
  73. check_and_sum(data,diff,calc,start,stop){|start,len,i|
  74. #初項x、公差diff[i]、len個
  75. x=calc[start+i]
  76. len*(2*x+(len-1)*diff[i])/2
  77. }
  78. }
  79. sum||=common(data){|cycle|
  80. next if cycle.times.any?{|j|(data[cycle+j]%data[j] rescue 0)>0}
  81. diff=cycle.times.map{|j|data[cycle+j]/data[j] rescue 0}
  82. calc=lambda{|n|data[n%cycle]*diff[n%cycle]**(n/cycle)}
  83. check_and_sum(data,diff,calc,start,stop){|start,len,i|
  84. #初項x、公比diff[i]、len個
  85. x=calc[start+i]
  86. if diff[i]==1
  87. x*len
  88. else
  89. x*(1-diff[i]**len)/(1-diff[i])
  90. end
  91. }
  92. }
  93. raise ('Cannot guess: '+data*',') unless sum
  94. puts id if sum!=expect
  95. end
  96.  
  97. __END__
  98. 【解答】
  99. 101,104,109,416,425,436,949,964,981
  100. 【感想・工夫した点など】
  101. ある周期単位で等差数列になっている。
  102. 等差数列の和の公式を使うことで高速化した。
  103.  
  104. X 1,1,2,1,1,4,1,1,8 12 12 16
  105. のような入力にも対応できます。
  106. 0が混ざった数列にも対応しました。
  107. 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。
  108. 関数を切り出し、可読性を少し上げました。
  109. 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。
  110.  
  111. 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。
  112. 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。
  113.  
  114. 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。
  115. 【言語と処理系】
  116. Ruby 2.0
  117. 【ソースコード】
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stdout
101
104
109
416
425
436
949
964
981