AOJ（問題集）25

AOJ Ruby

0256: Points for a Perfect Scorer

puts Array.new(10) { gets.to_i }.sum

　

0257: Railway Ticket

b = gets.split.join.to_i(2)

table = {4=>false, 2=>false, 6=>true, 1=>true, 0=>false}
puts table[b] ? "Open" : "Close"

　

0258: Kitchen Garden

簡単そうでむずかしかった！

while true
  n = gets.to_i
  break if n.zero?
  hs = gets.split.map(&:to_i)
  
  dif = hs.each_cons(2).map { |a, b| b - a }
  h = Hash.new(0)
  dif.each { |d| h[d] += 1 }
  many_dif = h.key(h.values.max)
  idx = dif.index { |d| d != many_dif }
  if idx.zero? && dif[1] == many_dif
    puts hs[0]
  else
    puts hs[idx + 1]
  end
end

　

0259: All Numbers Lead to 6174

def try(num, co=0)
  num = "%04d" % num
  return co if num == "6174"
  s = num.chars.sort.join
  try(s.reverse.to_i - s.to_i, co + 1)
end

while true
  n = gets.chomp
  break if n == "0000"
  
  if n.chars.uniq.size == 1
    puts "NA"
  else
    puts try(n.to_i)
  end
end

　

0261: Mayan Crucial Prediction

西暦とマヤ暦の相互変換。

require "date"

Table1 = [20, 20, 18, 20, 1]
acc = 1
Table2 = Table1.reverse_each.map { |e| acc *= e }.reverse

def we_to_ma(days)
  result = []
  Table2.each do |e|
    result << days / e
    days %= e
  end
  result[0] %= 13
  result.join(".")
end

def ma_to_we(days)
  d = Date.new(2012, 12, 21) + days
  [d.year, d.month, d.day].join(".")
end

while true
  s = gets.chomp
  break if s == "#"
  
  d = s.split(".").map(&:to_i)
  if d.size == 3
    days = Date.new(*d) - Date.new(2012, 12, 21)
    puts we_to_ma(days.to_i)
  else
    days = d.zip(Table2).sum { |a, b| a * b }
    puts ma_to_we(days)
  end
end

　

0262: Making Sugoroku

WA。自分でもわけわからんコード。→問題を読みちがえていた。

while true
  max = gets.to_i
  break if max.zero?
  n = gets.to_i
  ds = Array.new(n) { gets.to_i }
  
  check = Array.new(n + 1)
  try = ->(pos) {
    return true if pos > n
    return false if check[pos]
    check[pos] = true
    step = ds[pos - 1]
    return true unless step
    if step.zero?
      not (1..max).all? { |i| try.(pos + i) }
    else
      nxt = pos + step
      return false if nxt < 0
      return true if nxt > n
      try.(nxt)
    end
  }
  puts try.(0) ? "OK" : "NG"
end

　

0266: Aka-beko and 40 Thieves

Table =
  {a: {0=>:x, 1=>:y},
   x: {0=>nil, 1=>:z},
   y: {0=>:x, 1=>nil},
   z: {0=>:w, 1=>:b},
   w: {0=>:b, 1=>:y},
   b: {0=>:y, 1=>:x}}

def try(route)
  now = :a
  route.each_char do |c|
    now = Table[now][c.to_i]
    return "No" unless now
  end
  now == :b ? "Yes" : "No"
end

while true
  p = gets.chomp
  break if p == "#"
  
  puts try(p)
end

　

0222: Prime Quadruplet

予めすべて計算しておくという方法。

table = [13, 19, 109, 199, 829, 1489, 1879, 2089, 3259, 3469, 5659, 9439, 13009, 15649, 15739, 16069, 18049, 18919, 19429, 21019, 22279, 25309, 31729, 34849, 43789, 51349, 55339, 62989, 67219, 69499, 72229, 77269, 79699, 81049, 82729, 88819, 97849, 99139, 101119, 109849, 116539, 119299, 122209, 135469, 144169, 157279, 165709, 166849, 171169, 187639, 194869, 195739, 201499, 201829, 217369, 225349, 240049, 243709, 247609, 247999, 257869, 260419, 266689, 268819, 276049, 284749, 285289, 294319, 295879, 299479, 300499, 301999, 326149, 334429, 340939, 346399, 347989, 354259, 358909, 361219, 375259, 388699, 389569, 392269, 394819, 397549, 397759, 402139, 402769, 412039, 419059, 420859, 427249, 442579, 444349, 452539, 463459, 465169, 467479, 470089, 477019, 490579, 495619, 500239, 510619, 518809, 536449, 536779, 539509, 549169, 559219, 563419, 570049, 572659, 585919, 594829, 597679, 607309, 622249, 626629, 632089, 632329, 633469, 633799, 654169, 657499, 661099, 663589, 664669, 666439, 680299, 681259, 691729, 705169, 715159, 734479, 736369, 739399, 768199, 773029, 795799, 803449, 814069, 822169, 823729, 829729, 833719, 837079, 845989, 854929, 855739, 857959, 875269, 876019, 881479, 889879, 907399, 930079, 938059, 946669, 954979, 958549, 959479, 976309, 978079, 983449, 1002349, 1003369, 1006309, 1006339, 1008859, 1015369, 1022389, 1022509, 1023949, 1027759, 1043599, 1063969, 1065019, 1068259, 1068709, 1091269, 1093069, 1093999, 1100839, 1117609, 1117819, 1118869, 1120549, 1121839, 1122139, 1126669, 1137889, 1146799, 1155619, 1156039, 1157839, 1163719, 1167709, 1168249, 1170139, 1172029, 1172539, 1173589, 1182289, 1210879, 1228399, 1230379, 1233439, 1246249, 1246369, 1257079, 1272289, 1285519, 1298119, 1322179, 1322599, 1324579, 1329709, 1337269, 1339909, 1340329, 1351249, 1352209, 1358809, 1360789, 1368469, 1381279, 1400809, 1402369, 1410979, 1440589, 1447009, 1451839, 1461409, 1468639, 1508629, 1514329, 1524079, 1525969, 1540969, 1571749, 1573549, 1573939, 1577299, 1584439, 1588759, 1592869, 1603339, 1615849, 1616809, 1621729, 1627609, 1631059, 1653109, 1659109, 1670569, 1678759, 1681879, 1685449, 1691869, 1711819, 1718869, 1727779, 1747729, 1748479, 1749499, 1755829, 1764229, 1780489, 1791739, 1797379, 1798639, 1802659, 1819849, 1830349, 1833529, 1834039, 1837399, 1857679, 1890529, 1902619, 1904479, 1910269, 1912069, 1912459, 1915939, 1917739, 1925389, 1943659, 1954159, 1954369, 1959319, 1979149, 1979899, 2002339, 2007619, 2007919, 2016409, 2020729, 2050339, 2062009, 2063779, 2065579, 2075839, 2079199, 2083519, 2084449, 2087389, 2107669, 2116579, 2136139, 2141809, 2143489, 2144509, 2157739, 2159239, 2168659, 2176639, 2177509, 2193889, 2202799, 2203969, 2223679, 2225059, 2246149, 2248249, 2256349, 2262979, 2266639, 2289649, 2290039, 2294059, 2303599, 2340259, 2342779, 2362279, 2373409, 2376169, 2381089, 2403889, 2413429, 2418679, 2423419, 2443789, 2458669, 2470339, 2478529, 2479669, 2499949, 2508049, 2535109, 2541949, 2546239, 2552119, 2552659, 2561269, 2564329, 2576599, 2594959, 2594989, 2596669, 2604739, 2614069, 2635489, 2668249, 2673529, 2674549, 2679499, 2683789, 2696929, 2704909, 2712379, 2715289, 2728549, 2731699, 2731909, 2759299, 2761729, 2764129, 2790259, 2805169, 2822719, 2839939, 2840269, 2846869, 2849689, 2875339, 2879299, 2893489, 2918569, 2927599, 2927809, 2952799, 2954689, 2989039, 2990839, 3047419, 3058879, 3062209, 3063499, 3066829, 3076399, 3089329, 3092569, 3101479, 3103279, 3129619, 3153589, 3157579, 3171739, 3187609, 3200209, 3207439, 3208819, 3215749, 3224869, 3243349, 3277699, 3295549, 3308959, 3326629, 3328909, 3340879, 3366829, 3371449, 3374479, 3378049, 3400219, 3416059, 3436249, 3437719, 3467539, 3479899, 3512059, 3512239, 3512989, 3513079, 3514549, 3518329, 3550699, 3584929, 3586909, 3593509, 3621469, 3652939, 3669769, 3690529, 3713449, 3727729, 3735169, 3741169, 3798079, 3817819, 3837139, 3837859, 3849829, 3854119, 3894049, 3919219, 3919249, 3951559, 3974359, 3974689, 3975709, 3995449, 3996529, 4015939, 4016569, 4032409, 4039669, 4042609, 4058479, 4059199, 4092709, 4098469, 4110349, 4138249, 4144969, 4155919, 4157899, 4174609, 4185919, 4208629, 4218289, 4224379, 4234429, 4257529, 4262179, 4265089, 4265719, 4285669, 4300189, 4316779, 4326409, 4332619, 4336099, 4353319, 4361479, 4370089, 4377679, 4396789, 4404559, 4405699, 4413589, 4415449, 4453489, 4467019, 4487809, 4510489, 4529389, 4540099, 4543249, 4544209, 4561639, 4575289, 4579879, 4596079, 4606579, 4609309, 4615609, 4627879, 4635979, 4647289, 4660549, 4675249, 4693699, 4706419, 4707979, 4734679, 4740649, 4743709, 4796089, 4809949, 4832419, 4833139, 4852459, 4868659, 4875259, 4900459, 4950139, 4956829, 4959049, 4972069, 4977439, 4997389, 5025079, 5037919, 5047129, 5073379, 5074879, 5146489, 5154769, 5158039, 5168929, 5184799, 5201299, 5205469, 5229409, 5234689, 5239189, 5248099, 5251789, 5253769, 5261749, 5274169, 5274679, 5278579, 5318899, 5327899, 5381869, 5382109, 5417389, 5425759, 5436289, 5450119, 5461999, 5465359, 5484139, 5499079, 5527009, 5610469, 5614159, 5651749, 5675149, 5698579, 5732149, 5733529, 5734699, 5760109, 5774149, 5805259, 5839579, 5841469, 5851429, 5860249, 5892709, 5908459, 5922229, 5928829, 5930929, 5937859, 5938789, 5969659, 5977339, 5986039, 6005899, 6013159, 6016099, 6023659, 6024049, 6054289, 6056209, 6066589, 6102919, 6106489, 6130549, 6136219, 6144379, 6153319, 6156979, 6177889, 6187459, 6193309, 6201499, 6213799, 6250429, 6261379, 6287929, 6297589, 6299149, 6324559, 6329509, 6332869, 6334879, 6359239, 6378139, 6402169, 6404779, 6406579, 6419299, 6438199, 6464209, 6471139, 6474829, 6484069, 6495949, 6498229, 6501799, 6503599, 6509689, 6510199, 6512089, 6528679, 6556609, 6561019, 6578659, 6582469, 6595579, 6600499, 6601789, 6602209, 6613339, 6616789, 6621289, 6631909, 6641359, 6655549, 6655639, 6692269, 6699619, 6700699, 6708859, 6715279, 6715999, 6727549, 6735019, 6740479, 6753829, 6758959, 6760009, 6787639, 6796639, 6843379, 6880879, 6884749, 6900919, 6915199, 6918019, 6918349, 6925159, 6937969, 6942499, 6945559, 6949339, 7014619, 7016749, 7025659, 7027459, 7039849, 7045699, 7051399, 7079719, 7081189, 7097809, 7130869, 7151149, 7159519, 7161859, 7166149, 7177069, 7187779, 7201639, 7235959, 7267459, 7273999, 7286689, 7305379, 7316299, 7328779, 7335949, 7340239, 7348639, 7356079, 7367029, 7369339, 7371649, 7417519, 7422229, 7433059, 7448479, 7464559, 7465489, 7475389, 7477999, 7483789, 7499209, 7527259, 7534069, 7534609, 7537339, 7540459, 7541929, 7545919, 7580389, 7583509, 7599049, 7610929, 7641379, 7645669, 7659019, 7669819, 7681369, 7701769, 7703239, 7734829, 7754899, 7774309, 7802239, 7806439, 7813369, 7814299, 7846549, 7861039, 7879849, 7882879, 7913239, 7934659, 7945039, 7960159, 7961959, 7989469, 8023669, 8059069, 8062009, 8070919, 8101789, 8108539, 8166079, 8178259, 8183899, 8194939, 8208919, 8248069, 8281579, 8312419, 8313919, 8318419, 8326609, 8336599, 8339629, 8344159, 8348539, 8381539, 8385109, 8431069, 8445979, 8460589, 8467639, 8487379, 8497039, 8513179, 8519479, 8540509, 8557729, 8561809, 8568409, 8573449, 8576599, 8594689, 8604649, 8616919, 8619439, 8621869, 8623039, 8648839, 8658109, 8669629, 8677399, 8685379, 8691589, 8717749, 8729059, 8741149, 8748589, 8773159, 8799619, 8827549, 8831989, 8833249, 8844379, 8868529, 8878279, 8898319, 8914189, 8926459, 9020989, 9081469, 9081889, 9083029, 9127639, 9138139, 9146989, 9154969, 9165259, 9220249, 9276859, 9280549, 9291649, 9299449, 9320329, 9324439, 9353299, 9365599, 9369559, 9394969, 9426499, 9439279, 9440449, 9446869, 9463249, 9479419, 9494209, 9503959, 9508069, 9511429, 9538099, 9541999, 9549109, 9550399, 9585889, 9589429, 9600559, 9600589, 9617989, 9627469, 9640489, 9721429, 9723019, 9725959, 9733819, 9739909, 9743479, 9744409, 9750079, 9774469, 9778039, 9783889, 9792709, 9835759, 9876109, 9892039, 9910759, 9917059, 9923989, 9933619, 9950209, 9950539, 9973219]
table.reverse!

while true
  n = gets.to_i
  break if n.zero?
  
  puts table.bsearch { |t| t <= n }
end

　

0267: Triangle of Blocks

テトリスのブロック消しみたいなの。

def tri_num(s, nxt=1, k=1)
  return k if s == nxt
  return nil if nxt > s
  tri_num(s, nxt + k + 1, k + 1)
end

def tri?(field, k)
  field == (1..k).to_a
end

while true
  n = gets.to_i
  break if n.zero?
  bs = gets.split.map(&:to_i)
  
  k = tri_num(bs.sum)
  if k
    co = 0
    while true
      if tri?(bs, k)
        puts co
        break
      else
        bs.map!(&:pred)
        bs << bs.size
        bs.delete(0)
        co += 1
        if co > 10000
          puts -1
          break
        end
      end
    end
  else
    puts -1
  end
end

　

0268: Kongo Type

32ビット固定点小数。

q = gets.to_i
ss = Array.new(q) { gets.chomp }

puts ss.map {|s|
  bits = "%032b" % s.to_i(16)
  result = bits[1..24].to_i(2).to_s + "."
  result = "-" + result if bits[0] == "1"
  
  dec0 = bits[25..-1].each_char
  dec = dec0.enum_for(:inject, 0.0).with_index(1) {|(acc, b), i|
    acc + b.to_i(2) * (0.5) ** i
  }
  result << dec.to_s[2..-1]
}

　

0269: East Wind

これはトップダウンで上手く解けた。自慢自慢。

def inner?(s, e, θ)
  θ = θ / Math::PI * 180
  θ = (θ >= 0) ? θ : 360 + θ
  if s < 0
    (0 <= θ && θ < e) || (s + 360 < θ && θ < 360)
  elsif e >= 360
    (s < θ && θ < 360) || (0 <= θ && θ < e - 360)
  else
    s < θ && θ < e
  end
end

def reachable?(tree_x, tree_y, hx, hy, w, a, d)
  tree = Complex(tree_x, tree_y)
  house = Complex(hx, hy)
  l, θ = (house - tree).polar
  l < a && inner?(w - 0.5 * d, w + 0.5 * d, θ)
end

def my_ume_reachable?(house, wind)
  reachable?(0, 0, *house, *wind, $du)
end

def others_unreachable?(house, wind)
  fu = $ume.none?    { |tree| reachable?(*tree, *house, *wind, $du) }
  fm = $momo.none?   { |tree| reachable?(*tree, *house, *wind, $dm) }
  fs = $sakura.none? { |tree| reachable?(*tree, *house, *wind, $ds) }
  fu && fm && fs
end

while true
  h, r = gets.split.map(&:to_i)
  break if (h + r).zero?
  houses = Array.new(h) { gets.split.map(&:to_i) }
  u, m, s, $du, $dm, $ds = gets.split.map(&:to_i)
  $ume    = Array.new(u) { gets.split.map(&:to_i) }
  $momo   = Array.new(m) { gets.split.map(&:to_i) }
  $sakura = Array.new(s) { gets.split.map(&:to_i) }
  winds = Array.new(r) { gets.split.map(&:to_i) }
  
  days = houses.map {|house|
    winds.count {|wind|
      my_ume_reachable?(house, wind) && others_unreachable?(house, wind)
    }
  }
  m = days.max
  result =
    if m.zero?
      "NA"
    else
      days.map.with_index(1) { |d, i| d == m ? i : nil }.compact.join(" ")
    end
  puts result
end

一発で通って気持ちがよかった。
　

0270: Modular Query

もっとも素直な解法だと思うが、もちろん時間切れ。

n, q = gets.split.map(&:to_i)
cards = gets.split.map(&:to_i)
queries = Array.new(q) { gets.to_i }

puts queries.map {|n|
  max = 0
  cards.each do |c|
    e = c % n
    max = e if max < e
  end
  max
}