結果

問題 No.1234 典型RMQ
ユーザー 👑 obakyanobakyan
提出日時 2020-11-28 11:01:14
言語 Lua
(LuaJit 2.1.1696795921)
結果
AC  
実行時間 473 ms / 2,000 ms
コード長 5,377 bytes
コンパイル時間 161 ms
コンパイル使用メモリ 5,248 KB
実行使用メモリ 9,216 KB
最終ジャッジ日時 2024-11-09 02:38:18
合計ジャッジ時間 10,214 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge4
このコードへのチャレンジ
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テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 2 ms
5,248 KB
testcase_01 AC 2 ms
5,248 KB
testcase_02 AC 2 ms
5,248 KB
testcase_03 AC 2 ms
5,248 KB
testcase_04 AC 2 ms
5,248 KB
testcase_05 AC 2 ms
5,248 KB
testcase_06 AC 430 ms
9,088 KB
testcase_07 AC 298 ms
5,248 KB
testcase_08 AC 473 ms
9,088 KB
testcase_09 AC 382 ms
6,016 KB
testcase_10 AC 453 ms
9,088 KB
testcase_11 AC 422 ms
9,088 KB
testcase_12 AC 374 ms
6,144 KB
testcase_13 AC 303 ms
5,248 KB
testcase_14 AC 386 ms
6,016 KB
testcase_15 AC 369 ms
6,016 KB
testcase_16 AC 444 ms
9,088 KB
testcase_17 AC 383 ms
6,016 KB
testcase_18 AC 267 ms
5,248 KB
testcase_19 AC 448 ms
9,088 KB
testcase_20 AC 283 ms
9,088 KB
testcase_21 AC 419 ms
9,216 KB
testcase_22 AC 357 ms
9,088 KB
testcase_23 AC 359 ms
9,088 KB
testcase_24 AC 377 ms
9,088 KB
testcase_25 AC 369 ms
9,216 KB
testcase_26 AC 351 ms
9,088 KB
testcase_27 AC 2 ms
5,248 KB
testcase_28 AC 1 ms
5,248 KB
testcase_29 AC 2 ms
5,248 KB
権限があれば一括ダウンロードができます

ソースコード

diff # 

local mfl, mce = math.floor, math.ceil
local mmi, mma = math.min, math.max
local bls, brs = bit.lshift, bit.rshift

local LazyRangeSeg = {}
LazyRangeSeg.create = function(self, n,
  merge, lzmerge, lzdevide, lzapply,
  empty, lzempty)
  self.merge, self.lzmerge = merge, lzmerge
  self.lzdevide, self.lzapply = lzdevide, lzapply
  self.empty, self.lzempty = empty, lzempty
  local stagenum, mul = 1, 1
  self.stage = {{empty}}
  self.lazy = {{lzempty}}
  while mul < n do
    mul, stagenum = mul * 2, stagenum + 1
    self.stage[stagenum] = {}
    self.lazy[stagenum] = {}
    for i = 1, mul do
      self.stage[stagenum][i] = empty
      self.lazy[stagenum][i] = lzempty
    end
  end
  self.left_stage = {}
  for i = 1, n do
    local sp, sz = 1, bls(1, stagenum - 1)
    while(i - 1) % sz ~= 0 do
      sp, sz = sp + 1, brs(sz, 1)
    end
    self.left_stage[i] = sp
  end
  self.sz_stage = {}
  local tmp, sp = 1, stagenum
  for i = 1, n do
    if tmp * 2 == i then tmp, sp = tmp * 2, sp - 1 end
    self.sz_stage[i] = sp
  end
  self.stagenum = stagenum
end
LazyRangeSeg.resolve = function(self, right)
  local stagenum = self.stagenum
  local offset = 0
  for i = 1, stagenum - 1 do
    local p = offset + bls(1, stagenum - i)
    if p < right then
      offset = p
      p = p + bls(1, stagenum - i)
    end
    if right < p then
      local curidx = brs(p, stagenum - i)
      local lzval = self.lazy[i][curidx]
      if lzval ~= self.lzempty then
        local sz = bls(1, stagenum - i - 1)
        lzval = self.lzdevide(lzval, sz, sz * 2)
        self:resolveRange(i + 1, curidx * 2 - 1, lzval, true)
        self:resolveRange(i + 1, curidx * 2, lzval, true)
        self.lazy[i + 1][curidx * 2 - 1] = self.lzmerge(self.lazy[i + 1][curidx * 2 - 1], lzval)
        self.lazy[i + 1][curidx * 2] = self.lzmerge(self.lazy[i + 1][curidx * 2], lzval)
        self.lazy[i][curidx] = self.lzempty
      end
    elseif p == right then
      break
    else
      assert(false)
    end
  end
end
LazyRangeSeg.resolveRange = function(self, stagepos, idx, value, shallow)
  self.stage[stagepos][idx] = self.lzapply(self.stage[stagepos][idx], value)
  if shallow then return end
  for i = stagepos - 1, 1, -1 do
    local dst = brs(idx + 1, 1)
    local rem = dst * 4 - 1 - idx
    self.stage[i][dst] = self.merge(self.stage[i + 1][idx], self.stage[i + 1][rem])
    idx = dst
  end
end
LazyRangeSeg.setValue = function(self, idx, value)
  self.stage[self.stagenum][idx] = value
end
LazyRangeSeg.updateAll = function(self)
  for i = self.stagenum - 1, 1, -1 do
    local cnt = bls(1, i - 1)
    for j = 1, cnt do
      self.stage[i][j] = mmi(self.stage[i + 1][j * 2 - 1], self.stage[i + 1][j * 2])
    end
  end
end

LazyRangeSeg.resolveAll = function(self)
  local stagenum = self.stagenum
  for i = 1, stagenum - 1 do
    local cnt = bls(1, i - 1)
    for j = 1, cnt do
      local lzval = self.lazy[i][j]
      if lzval ~= self.lzempty then
        local sz = bls(1, stagenum - i - 1)
        lzval = self.lzdevide(lzval, sz, sz * 2)
        self:resolveRange(i + 1, j * 2 - 1, lzval, true)
        self:resolveRange(i + 1, j * 2, lzval, true)
        self.lazy[i + 1][j * 2 - 1] = self.lzmerge(self.lazy[i + 1][j * 2 - 1], lzval)
        self.lazy[i + 1][j * 2] = self.lzmerge(self.lazy[i + 1][j * 2], lzval)
        self.lazy[i][j] = self.lzempty
      end
    end
  end
end
LazyRangeSeg.getRange = function(self, left, right)
  if 1 < left then self:resolve(left - 1) end
  self:resolve(right)
  local stagenum = self.stagenum
  local ret = self.empty
  while left <= right do
    local stage = mma(self.left_stage[left], self.sz_stage[right - left + 1])
    local sz = bls(1, stagenum - stage)
    ret = self.merge(ret, self.stage[stage][1 + brs(left - 1, stagenum - stage)])
    left = left + sz
  end
  return ret
end
LazyRangeSeg.setRange = function(self, left, right, value)
  if 1 < left then self:resolve(left - 1) end
  self:resolve(right)
  local stagenum = self.stagenum
  while left <= right do
    local stage = mma(self.left_stage[left], self.sz_stage[right - left + 1])
    local sz = bls(1, stagenum - stage)
    local len = right - left + 1
    local idx = 1 + brs(left - 1, stagenum - stage)
    local v = self.lzdevide(value, sz, len)
    value = self.lzdevide(value, len - sz, len)
    self:resolveRange(stage, idx, v)
    self.lazy[stage][idx] = self.lzmerge(self.lazy[stage][idx], v)
    left = left + sz
  end
end

LazyRangeSeg.new = function()
  local obj = {}
  setmetatable(obj, {__index = LazyRangeSeg})
  return obj
end

-- merge(a, b) -> c
-- lzmerge(a_lz, b_lz) -> c_lz
-- lzdevide(a_lz, numer, denom) -> b_lz
-- lzapply(a, b_lz) -> c

-- lzst = LazyRangeSeg.new()
-- lzst:create(n,
--   merge, lzmerge, lzdevide, lzapply,
--   empty, lzempty)
local function merge(a, b) return a < b and a or b end
local function lzmerge(a, b) return a + b end
local function lzdevide(a, _num, _den) return a end
local function lzapply(a, blz) return a + blz end
local n = io.read("*n")
local lzst = LazyRangeSeg.new()
lzst:create(n, merge, lzmerge, lzdevide, lzapply, 1000000007 * 20, 0)

for i = 1, n do
  local a = io.read("*n")
  lzst:setValue(i, a)
end
lzst:updateAll()
local q = io.read("*n")
for iq = 1, q do
  local tp, l, r, c = io.read("*n", "*n", "*n", "*n")
  if tp == 1 then
    lzst:setRange(l, r, c)
  else
    print(lzst:getRange(l, r))
  end
end
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