結果

問題 No.1036 Make One With GCD 2
コンテスト
ユーザー 👑 obakyan
提出日時 2020-04-30 22:16:39
言語 Lua
(LuaJit 2.1.1734355927)
結果
TLE  
実行時間 -
コード長 4,049 bytes
コンパイル時間 134 ms
コンパイル使用メモリ 6,688 KB
実行使用メモリ 84,604 KB
最終ジャッジ日時 2024-12-17 19:34:21
合計ジャッジ時間 40,666 ms
ジャッジサーバーID
（参考情報） 		judge1 / judge5
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 4
other AC * 40 TLE * 1
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 ffi = require("ffi")
local C = ffi.C

local z = 0LL
local function getgcd(x, y)
  if x < y then
    while 0LL < x do
      z = y - x
      if z < x then
        x, y = z, x
      else
        x, y = y % x, x
      end
    end
    return y
  else
    while 0LL < y do
      z = x - y
      if z < y then
        y, x = z, y
      else
        y, x = x % y, y
      end
    end
    return x
  end
end

local SegTree = {}
SegTree.updateAll = function(self)
  for i = self.stagenum - 1, 1, -1 do
    local cnt = bls(1, i - 1)
    local child = self.stage[i + 1]
    local parent = self.stage[i]
    for j = 1, cnt do
      parent[j] = self.func(child[j * 2 - 1], child[j * 2])
    end
  end
end
SegTree.create = function(self, n, func, emptyvalue)
  self.func, self.emptyvalue = func, emptyvalue
  local stagenum, mul = 1, 1
  self.stage = {}
  self.stage[1] = ffi.new("int64_t[?]", 2)
  while mul < n do
    mul, stagenum = mul * 2, stagenum + 1
    self.stage[stagenum] = ffi.new("int64_t[?]", mul + 1)
  end
  self.stagenum = stagenum
  -- for i = 1, mul do self.stage[stagenum][i] = emptyvalue end
  self.spos = {}
  for i = 1, n do
    local sp, sz = 1, bls(1, stagenum - 1)
    while(i - 1) % sz ~= 0 do
      sp = sp + 1
      sz = brs(sz, 1)
    end
    self.spos[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
end
SegTree.getRange = function(self, left, right)
  if left == right then return self.stage[self.stagenum][left] end
  local stagenum = self.stagenum
  local ret = self.emptyvalue
  while left <= right do
    local stage = mma(self.spos[left], self.sz_stage[right - left + 1])
    local sz = bls(1, stagenum - stage)
    ret = self.func(ret, self.stage[stage][1 + brs(left - 1, stagenum - stage)])
    left = left + sz
  end
  return ret
end
SegTree.right_bound = function(self, left, right, v)
  local ret, retpos = self.emptyvalue, left - 1
  if v then ret = v end
  local l, r = left, right
  local stage = mma(self.spos[left], self.sz_stage[right - left + 1])
  local stagenum = self.stagenum
  while true do
    local sz = bls(1, stagenum - stage)
    local tmp = self.func(ret, self.stage[stage][mce(l / sz)])
    if 1LL < tmp then
      ret, retpos = tmp, l + sz - 1
      if retpos == right then break end
      if l + sz <= r then
        l, r = l + sz, r
        stage = mma(self.spos[l], self.sz_stage[r - l + 1])
      else break end
    else
      if sz ~= 1 then stage, l, r = stage + 1, l, l + sz - 2
      else break end
    end
  end
  return retpos + 1
end
SegTree.new = function(n, func, emptyvalue)
  local obj = {}
  setmetatable(obj, {__index = SegTree})
  obj:create(n, func, emptyvalue)
  return obj
end


local n = io.read("*n", "*l")
local st = SegTree.new(n + 1, getgcd, 0LL)
ffi.cdef[[
long long atoll(const char*);
]]

local s = io.read()
local sts = st.stage[st.stagenum]
do
  local i = 1
  for w in s:gmatch("%d+") do
    sts[i] = C.atoll(w)
    i = i + 1
  end
  sts[n + 1] = 1LL
end
-- print(os.clock())

st:updateAll()
-- print(os.clock())
local tp = 3
if tp == 1 then
  local ret = 0
  local z = 1
  for i = 1, n do
    if z <= n then
      local v = st:getRange(i, z)
      if v ~= 1LL then
        if z == n then
          z = n + 1
        else
          z = st:right_bound(z + 1, n, v)
        end
      end
    end
    ret = ret + n + 1 - z
  end
  print(ret)
  print(os.clock())
elseif tp == 2 then--do
  local ret = 0
  local z = 1
  for i = 1, n do
    local v = st:getRange(i, z)
    while v ~= 1LL and z <= n do
      z = z + 1
      v = getgcd(v, sts[z])
    end
    ret = ret + n + 1 - z
    if z == n + 1 then break end
  end
  print(ret)
  print(os.clock())
else
  local ret = 0
  local z = n
  for i = n, 1, -1 do
    local p = st:right_bound(i, z)
    ret = ret + n + 1 - p
    z = mmi(p, n)
  end
  print(ret)
  -- print(os.clock())
end
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