Snippets

cia_rana オフラインリアルタイムどう書くF02の問題 - 2つの矩形に含まれるマス目の数

Created by cia_rana last modified
# http://nabetani.sakura.ne.jp/hena/ordf02in2rec/
# by @Nabetani
# naive解
# 10x10の全ての点について2つの矩形に囲まれる点の数を数える

require "minitest/autorun"

class TestRunner < Minitest::Test
  def setup
    @f = ->input{
      rects = input.split(?/).map{|r|r.scan(/\d+/).map(&:to_i)}
      
      (0..9).inject(0){|sum, x|
        sum + (0..9).select{|y|
          2 == (0..2).select{|i|
            rects[i][0] <= x && x <= rects[i][2] && rects[i][1] <= y && y <= rects[i][3]
          }.size
        }.size
      }
    }
    # ワンライナー
    # @f=->a{(0..9).inject(0){|s,x|s+(0..9).select{|y|2==(0..2).select{|i|(r=a.split(?/).map{|q|q.scan(/\d+/).map &:to_i})[i][0]<=x&&x<=r[i][2]&&r[i][1]<=y&&y<=r[i][3]}.size}.size}}
  end
  def test_run
    DATA.each{|data|
      input, expected = data.chomp.match(/test\(\s*\"(.+)\",\s*\"(.+)\"\s*\)/)[1..2]
      assert_equal expected.to_i, @f[input]
    }
  end
end

__END__
/*0*/ test( "5,1-7,9/3,2-8,6/0,5-9,5", "15" );    
/*1*/ test( "0,0-9,9/0,0-9,9/0,0-9,9", "0" );    
/*2*/ test( "0,0-9,9/0,0-0,9/1,0-9,9", "100" );    
/*3*/ test( "2,5-7,6/0,5-7,7/2,0-8,6", "0" );    
/*4*/ test( "1,9-4,9/4,9-7,9/0,3-7,4", "1" );    
/*5*/ test( "6,1-6,9/5,0-7,4/5,1-7,2", "6" );    
/*6*/ test( "4,0-9,8/5,1-6,8/0,2-9,7", "28" );    
/*7*/ test( "2,8-8,9/7,9-8,9/8,3-8,9", "2" );    
/*8*/ test( "3,3-9,4/0,1-8,4/1,2-8,9", "12" );    
/*9*/ test( "2,1-8,3/0,1-3,7/8,3-8,4", "7" );    
/*10*/ test( "5,4-6,9/0,0-6,0/5,3-9,8", "10" );    
/*11*/ test( "1,1-9,7/1,1-3,8/3,8-7,9", "22" );    
/*12*/ test( "2,4-6,7/3,2-7,8/1,0-9,4", "24" );    
/*13*/ test( "0,2-1,5/8,1-8,3/1,8-6,8", "0" );    
/*14*/ test( "5,2-9,5/9,1-9,2/8,0-8,6", "5" );    
/*15*/ test( "5,0-6,4/2,1-6,4/3,8-3,9", "8" );    
/*16*/ test( "0,4-6,9/4,1-6,9/7,6-9,7", "18" );    
/*17*/ test( "0,0-5,5/0,1-2,8/5,3-9,4", "17" );    
/*18*/ test( "0,2-5,6/5,6-8,7/0,1-2,6", "16" );    
/*19*/ test( "7,2-8,4/1,0-6,8/1,3-7,6", "26" );    
/*20*/ test( "4,3-9,3/0,0-6,5/0,0-4,8", "31" );    
/*21*/ test( "3,4-4,6/2,2-4,8/2,0-8,4", "11" );    
/*22*/ test( "1,2-6,5/0,5-4,7/2,8-2,9", "4" );    
/*23*/ test( "4,1-7,5/2,1-9,9/1,7-2,9", "23" );    
/*24*/ test( "1,6-5,6/0,3-5,7/0,2-2,6", "13" );    
/*25*/ test( "1,3-3,4/1,4-3,4/9,2-9,9", "3" );    
/*26*/ test( "6,3-7,6/2,2-2,3/1,3-9,8", "9" );    
/*27*/ test( "2,2-9,7/1,8-9,8/2,2-8,9", "49" );    
/*28*/ test( "1,2-6,9/7,6-9,9/4,3-9,9", "33" );    
/*29*/ test( "6,0-7,5/0,4-3,8/1,4-5,8", "15" );    
/*30*/ test( "2,0-9,7/0,5-3,8/5,1-7,7", "27" );    
/*31*/ test( "1,2-8,7/3,1-4,3/2,3-5,8", "20" );    
/*32*/ test( "1,0-7,7/0,1-5,4/0,0-2,3", "19" );    
/*33*/ test( "2,0-3,7/1,1-3,7/5,3-5,9", "14" );    
/*34*/ test( "7,2-9,8/1,0-6,8/0,2-9,9", "63" );    
/*35*/ test( "1,1-5,3/0,3-8,7/2,3-8,7", "32" );    
/*36*/ test( "3,4-6,6/1,0-9,1/4,0-9,9", "21" );    
/*37*/ test( "0,0-4,7/0,5-5,9/0,2-4,5", "25" );    
/*38*/ test( "1,1-9,9/2,2-7,4/2,4-7,7", "30" );    
/*39*/ test( "3,2-9,9/2,0-6,6/0,5-8,9", "36" );    
/*40*/ test( "0,1-8,8/0,5-9,8/2,3-2,4", "38" );    
/*41*/ test( "0,0-8,6/4,3-9,9/7,1-9,9", "29" );    
/*42*/ test( "0,0-8,8/2,4-9,8/0,1-9,2", "53" );
# http://nabetani.sakura.ne.jp/hena/ordf02in2rec/
# by @Nabetani
# 百万×百万対応解
# 包含原理で計算する

require "minitest/autorun"

class TestRunner < Minitest::Test
  def setup
    # 2つの矩形が重なっているか判定
    overlapping = ->r1, r2{
      r1[0] <= r2[2] && r2[0] <= r1[2] && r1[1] <= r2[3] && r2[1] <= r1[3]
    }
    # 2つの矩形が重なっている部分の面積を計算
    calc_area = ->r1, r2{
      ([r1[2], r2[2]].min - [r1[0], r2[0]].max + 1) * ([r1[3], r2[3]].min - [r1[1], r2[1]].max + 1)
    }
    # 2つの矩形に共通する部分の矩形を生成
    calc_co_rect = ->r1, r2{
      [[r1[0], r2[0]].max, [r1[1], r2[1]].max, [r1[2], r2[2]].min, [r1[3], r2[3]].min]
    }
    
    @f = ->input{
      rects = input.split(?/).map{|r|r.scan(/\d+/).map(&:to_i)}
      
      rects.combination(2).inject(0){|sum, (r1, r2)|
        sum + (overlapping[r1, r2] ? calc_area[r1, r2] : 0)
      } - 3 * (overlapping[r1 = rects[0], r2 = rects[1]] && overlapping[r3 = rects[2], r4 = calc_co_rect[r1, r2]] ? calc_area[r3, r4] : 0)
    }
  end
  def test_run
    DATA.each{|data|
      input, expected = data.chomp.match(/test\(\s*\"(.+)\",\s*\"(.+)\"\s*\)/)[1..2]
      assert_equal expected.to_i, @f[input]
    }
  end
end

__END__
/*0*/ test( "0,0-999999,999999/0,0-999999,999999/0,0-999999,999999", "0" );    
/*1*/ test( "0,0-999999,999999/0,0-0,999999/1,0-999999,999999", "1000000000000" );    
/*2*/ test( "655822,899981-788586,907370/262080,47983-540321,834515/327083,392880-474728,550251", "23235346312" );    
/*3*/ test( "332855,375381-953091,410430/311649,171289-637710,912139/113674,426911-658531,763493", "120432128946" );    
/*4*/ test( "718118,613550-931221,983155/84495,98906-214393,787796/159096,14702-416478,360207", "14449477996" );    
/*5*/ test( "809,351021-589370,525004/161241,390394-302773,958450/78299,230856-310951,941900", "80430542457" );    
/*6*/ test( "140869,614312-559945,677721/424067,131309-645701,709237/22556,149538-902108,566473", "101023697750" );    
/*7*/ test( "655941,129163-859649,985280/446717,159679-977047,839232/172790,559592-492587,741630", "146781576755" );    
/*8*/ test( "17192,474077-715775,513703/177518,159867-395312,530025/331315,181585-695872,274046", "14547945541" );    
/*9*/ test( "898603,252482-932681,923548/158284,561187-881317,881298/291114,46375-975112,431448", "6099016393" );    
/*10*/ test( "460763,311625-742309,415024/708446,250395-980176,802067/190828,650489-798525,855977", "17155773920" );    
/*11*/ test( "76405,197443-189085,423768/218793,635517-608524,914533/68011,184211-238902,819853", "29209657076" );    
/*12*/ test( "602585,166640-862797,212028/844554,91101-971982,642729/130166,132319-619895,387625", "1613805895" );    
/*13*/ test( "570213,345485-759193,657391/214801,517728-943628,936004/412700,32310-853707,623589", "65618672419" );    
/*14*/ test( "251546,411491-781481,812128/271544,210234-536793,313835/174707,164436-353882,432689", "10699927141" );    
/*15*/ test( "768602,340406-876104,451915/531084,97975-614595,607952/297417,452002-545499,950992", "2248189616" );    
/*16*/ test( "824147,181473-928495,890221/673583,148595-734839,191460/532038,851156-892611,920296", "2674653690" );    
/*17*/ test( "507676,577270-927426,825282/385783,352947-643538,691954/243369,815194-385405,859966", "15581448155" );    
/*18*/ test( "388419,439549-745538,669102/262281,742072-609988,970128/533573,137288-596245,670546", "14386837842" );    
/*19*/ test( "663239,518782-856702,589433/758115,84450-903932,642088/337647,24284-583025,565986", "6965439376" );    
/*20*/ test( "191239,779501-419016,973110/461699,265809-619813,400896/295357,343268-995965,426583", "9112009335" );    
/*21*/ test( "481413,405591-580708,502557/548827,255673-775012,641036/426629,627433-838039,929163", "6168536238" );    
/*22*/ test( "9920,498487-514382,683023/226772,29017-628472,646705/311712,341208-824675,813994", "86680486267" );    
/*23*/ test( "607788,403841-668184,518365/91263,688091-637506,857258/24319,559457-663076,919412", "92407004992" );    
/*24*/ test( "77084,799236-139505,979891/754122,279472-794364,868062/150527,608666-281632,750541", "0" );    
/*25*/ test( "169296,83569-620267,759983/460604,265256-945013,954017/317013,98311-745837,121044", "85884450562" );    
/*26*/ test( "129661,44653-592189,297222/219053,537474-316753,980074/157470,756816-370610,907480", "14720121165" );    
/*27*/ test( "297941,386287-716792,725006/241452,450763-567051,962750/195744,679475-346109,722435", "74159512604" );    
/*28*/ test( "168144,237088-329400,634496/10381,564404-835828,912626/449243,161014-923398,676107", "54486189445" );    
/*29*/ test( "107162,121311-807174,529239/344730,331975-894427,731597/581880,770044-619288,914307", "91224212925" );    
/*30*/ test( "412012,102200-935128,257111/111516,225570-444846,539065/784025,129787-872324,570078", "12278479070" );    
/*31*/ test( "800011,636792-837944,845950/7799,3048-945539,551037/197775,295503-609840,482184", "76925305012" );    
/*32*/ test( "127131,26333-180762,397870/27576,261600-816030,833590/301519,411147-645517,557943", "57806507475" );    
/*33*/ test( "32758,293294-988342,514135/468,543068-318854,548069/27211,318362-114542,567550", "16448211254" );    
/*34*/ test( "100410,724118-597622,745585/183566,413277-751642,938721/672678,271783-953373,854704", "43746337696" );    
/*35*/ test( "617281,172835-638934,558464/725936,550832-893293,968391/243005,644233-783866,774370", "7539024478" );    
/*36*/ test( "306059,461338-761333,479832/59110,334011-979200,367681/201997,335634-587440,531481", "17556869402" );    
/*37*/ test( "198441,770394-533721,965743/7845,436240-747623,621749/345710,713519-465402,866708", "11528231295" );    
/*38*/ test( "856417,156222-995259,695178/552046,8773-879184,347237/114065,393927-827128,775960", "4349052288" );    
/*39*/ test( "298522,174473-586813,447826/513017,410991-576739,639088/180342,283427-453079,776103", "27756635628" );    
/*40*/ test( "676607,92015-788738,889720/351236,32426-799213,692704/334633,87130-927627,121184", "76070680990" );    
/*41*/ test( "112863,136827-415321,945235/278661,676383-304033,860715/404074,160748-970146,761914", "11439007625" );

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