#!/usr/bin/ruby #coding:utf-8 require 'zlib' require 'base64' require 'stringio' Encoding.default_external=Encoding::UTF_8 #多項式加減乗算 #mul([2,1,1],[1,4,3]) => [2, 9, 11, 7, 3] #(2+x+x^2)*(1+4x+3x^2) is 2+9x+11x^2+7x^3+3x^4 def add(a,b) [a.size,b.size].max.times.map{|i|(a[i]||0)+(b[i]||0)} end def sub(a,b) add(a,b.map{|e|-e}) end def mul(a,b) b.size.times.reduce([]){|s,i|add(s,[0]*i+a.map{|e|b[i]*e})} end #構文解析(stage2) #POJ 2252(Java)をポート AddSub = Regexp.compile(/^(.*?)([0-9,-]+)([+Z])([0-9,-]+)(.*)$/) MulDiv = Regexp.compile(/^(.*?)([0-9,-]+)([*])([0-9,-]+)(.*)$/) def process(s) =begin #analyze parens bidx=s.index("(") while bidx count=1 eidx=bidx+1 while count!=0 count+=1 if s[eidx,1]=='(' count-=1 if s[eidx,1]==')' eidx+=1 end s=s[0,bidx]+process(s[bidx+1...eidx-1])+s[eidx..-1] bidx=s.index("(") end =end while m=MulDiv.match(s) if m[3]=='*' s=m[1]+mul(m[2].split(',').map(&:to_i),m[4].split(',').map(&:to_i))*','+m[5] end end while m=AddSub.match(s) if m[3]=='+' s=m[1]+add(m[2].split(',').map(&:to_i),m[4].split(',').map(&:to_i))*','+m[5] else s=m[1]+sub(m[2].split(',').map(&:to_i),m[4].split(',').map(&:to_i))*','+m[5] end end s end #構文解析(stage1) def tokenize(expr,regexp) result='' previdx=0 idx=0 while expr[idx,1] if ['+','-','='].include?(expr[idx,1]) raise if !m=regexp.match(expr[previdx...idx]) result<<(yield m) result<< expr[idx,1] previdx=idx+1 end idx+=1 end raise if !m=regexp.match(expr[previdx..-1]) result<<(yield m) result.gsub('-','Z') end def calc_helper(a,units) if x=a.each_with_index.find{|e,i|e=='□'} '0,'+units[x[1]].to_s else a.each_with_index.reduce(0){|s,(e,i)|s+(e||'0').to_i*units[i]}.to_s end end def calc(expr) # expr => "3m20cm-3m10cm-□mm=5mm" if expr=~/g/ #重さ result=tokenize(expr,/^(([0-9□]+)kg)?(([0-9□]+)g)?(([0-9□]+)mg)?$/){|match| calc_helper([match[2],match[4],match[6]],[1000000,1000,1]) } elsif expr=~/m/ #長さ result=tokenize(expr,/^(([0-9□]+)km)?(([0-9□]+)m)?(([0-9□]+)cm)?(([0-9□]+)mm)?$/){|match| calc_helper([match[2],match[4],match[6],match[8]],[1000000,1000,10,1]) } else #時間 result=tokenize(expr,/^(([0-9□]+)日)?(([0-9□]+)時間)?(([0-9□]+)分)?(([0-9□]+)秒)?$/){|match| calc_helper([match[2],match[4],match[6],match[8]],[86400,3600,60,1]) } end # result => "3200Z3100Z0,1=5" a,b=result.split('=') r,s=process(process(a)+'Z'+process(b)).split(',').map(&:to_i) # => [95,-1] raise if r%s>0 -r/s end f=StringIO.new(Zlib.inflate(Base64.decode64($<.read)).force_encoding(Encoding.default_external)) while f.gets id,expr1,expr2=$_.split #break if id[0,1]!='T' puts id if calc(expr1)!=calc(expr2) end __END__ 【解答】 111,112,222,223,333,334,444,445,555,556,666,667,777,778,888,889,999 【感想・工夫した点など】 一番低い単位に合わせた後、正規表現による多項式演算で0次の項と1次の項を求め、割ることで未知数を求めた。 calc()の中は手抜きだったので直しました。 mul()はわかりにくいコードになってしまっていますが、reduceが使えることがわかったのでそうしました。 【言語と処理系】 Ruby 2.0 (マルチバイト文字列を含むのでRuby 1.9以降専用) 【ソースコード】
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