#470287 (Lua) No.1036 Make One With GCD 2

• 問題: No.1036 Make One With GCD 2
• ユーザー: 👑 obakyan
• 提出日時: 2020-04-25 10:50:19
• 言語: Lua (LuaJit 2.1.1734355927)
• 結果: TLE (最新)
  AC
  (最初)
• 実行時間: -
• コード長: 2,703 bytes
• コンパイル時間: 247 ms
• コンパイル使用メモリ: 6,820 KB
• 実行使用メモリ: 84,828 KB
• 最終ジャッジ日時: 2024-11-07 04:08:34
• 合計ジャッジ時間: 34,534 ms
• ジャッジサーバーID （参考情報）: judge1 / judge4

ファイルパターン	結果
sample	AC * 4
other	AC * 40 TLE * 1

ソースコード

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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 function getgcd(x, y)
  while 0LL < x do
    x, y = y % x, x
  end
  return y
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.setSilent = function(self, idx, value)
  self.stage[self.stagenum][idx] = value
end
SegTree.right_bound = function(self, left, right)
  local ret, retpos = self.emptyvalue, left - 1
  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, getgcd, 0LL)
ffi.cdef[[
long long atoll(const char*);
]]
local s = io.read()
do
  local i = 1
  for w in s:gmatch("%d+") do
    st.stage[st.stagenum][i] = C.atoll(w)
    i = i + 1
  end
end
-- print(os.clock())
st:updateAll()
-- print(os.clock())
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())
 
 
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