#661506 (Lua) No.1521 Playing Musical Chairs Alone

• 問題: No.1521 Playing Musical Chairs Alone
• ユーザー: 👑 obakyan
• 提出日時: 2021-05-28 22:22:39
• 言語: Lua (LuaJit 2.1.1696795921)
• 結果: AC
• 実行時間: 240 ms / 2,000 ms
• コード長: 1,594 bytes
• コンパイル時間: 106 ms
• コンパイル使用メモリ: 5,248 KB
• 実行使用メモリ: 5,376 KB
• 最終ジャッジ日時: 2024-04-25 00:26:26
• 合計ジャッジ時間: 3,689 ms
• ジャッジサーバーID （参考情報）: judge5 / judge3

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; 5,376 KB
testcase_02	AC	2 ms; 5,376 KB
testcase_03	AC	2 ms; 5,376 KB
testcase_04	AC	2 ms; 5,376 KB
testcase_05	AC	95 ms; 5,376 KB
testcase_06	AC	63 ms; 5,376 KB
testcase_07	AC	101 ms; 5,376 KB
testcase_08	AC	10 ms; 5,376 KB
testcase_09	AC	9 ms; 5,376 KB
testcase_10	AC	3 ms; 5,376 KB
testcase_11	AC	182 ms; 5,376 KB
testcase_12	AC	1 ms; 5,376 KB
testcase_13	AC	1 ms; 5,376 KB
testcase_14	AC	4 ms; 5,376 KB
testcase_15	AC	197 ms; 5,376 KB
testcase_16	AC	229 ms; 5,376 KB
testcase_17	AC	229 ms; 5,376 KB
testcase_18	AC	209 ms; 5,376 KB
testcase_19	AC	219 ms; 5,376 KB
testcase_20	AC	229 ms; 5,376 KB
testcase_21	AC	229 ms; 5,376 KB
testcase_22	AC	240 ms; 5,376 KB
testcase_23	AC	174 ms; 5,376 KB
testcase_24	AC	234 ms; 5,376 KB
testcase_25	AC	231 ms; 5,376 KB

ソースコード

local mod = 1000000007
local mfl = math.floor

local function bmul(x, y)
  local x1, y1 = mfl(x / 31623), mfl(y / 31623)
  local x0, y0 = x - x1 * 31623, y - y1 * 31623
  return (x1 * y1 * 14122 + (x1 * y0 + x0 * y1) * 31623 + x0 * y0) % mod
end

local function badd(x, y)
  return (x + y) % mod
end

local function bsub(x, y)
  return x < y and x - y + mod or x - y
end

local function modpow(src, pow)
  local res = 1
  while 0 < pow do
    if pow % 2 == 1 then
      res = bmul(res, src)
      pow = pow - 1
    end
    src = bmul(src, src)
    pow = mfl(pow / 2)
  end
  return res
end

local function modinv(src)
  return modpow(src, mod - 2)
end

local n, rep, l = io.read("*n", "*n", "*n")
local mat = {}
local mt = {}
for i = 1, n do
  mat[i] = {}
  mt[i] = {}
  for j = 1, n do
    mat[i][j] = 0
  end
end
for i = 1, n do
  for j = 1, l do
    local dst = (i + j) % n
    if dst == 0 then dst = n end
    mat[dst][i] = 1
  end
end

local function matmat()
  for i = 1, n do
    for j = 1, n do
      local v = 0
      for k = 1 , n do
        v = badd(v, bmul(mat[i][k], mat[k][j]))
      end
      mt[i][j] = v
    end
  end
  for i = 1, n do for j = 1, n do
    mat[i][j] = mt[i][j]
  end end
end
local vt = {}
local vec = {1}
for i = 2, n do
  vec[i] = 0
end

local function matvec()
  for i = 1, n do
    local v = 0
    for k = 1, n do
      v = badd(v, bmul(mat[i][k], vec[k]))
    end
    vt[i] = v
  end
  for i = 1, n do
    vec[i] = vt[i]
  end
end
while 0 < rep do
  if rep % 2 == 1 then
    matvec()
  end
  matmat()
  rep = mfl(rep / 2)
end
print(table.concat(vec, "\n"))