#687703 (Lua) No.997 Jumping Kangaroo

• 問題: No.997 Jumping Kangaroo
• ユーザー: 👑 obakyan
• 提出日時: 2021-08-09 16:48:48
• 言語: Lua (LuaJit 2.1.1696795921)
• 結果: AC
• 実行時間: 3 ms / 2,000 ms
• コード長: 1,614 bytes
• コンパイル時間: 173 ms
• コンパイル使用メモリ: 6,688 KB
• 実行使用メモリ: 6,944 KB
• 最終ジャッジ日時: 2024-09-21 15:46:59
• 合計ジャッジ時間: 1,366 ms
• ジャッジサーバーID （参考情報）: judge2 / judge1

入力	結果	実行時間; 実行使用メモリ
testcase_00	AC	1 ms; 6,816 KB
testcase_01	AC	2 ms; 6,940 KB
testcase_02	AC	2 ms; 6,940 KB
testcase_03	AC	2 ms; 6,944 KB
testcase_04	AC	2 ms; 6,940 KB
testcase_05	AC	2 ms; 6,944 KB
testcase_06	AC	2 ms; 6,944 KB
testcase_07	AC	2 ms; 6,944 KB
testcase_08	AC	2 ms; 6,940 KB
testcase_09	AC	2 ms; 6,944 KB
testcase_10	AC	1 ms; 6,944 KB
testcase_11	AC	2 ms; 6,940 KB
testcase_12	AC	2 ms; 6,944 KB
testcase_13	AC	2 ms; 6,944 KB
testcase_14	AC	2 ms; 6,944 KB
testcase_15	AC	2 ms; 6,940 KB
testcase_16	AC	2 ms; 6,940 KB
testcase_17	AC	2 ms; 6,944 KB
testcase_18	AC	3 ms; 6,940 KB
testcase_19	AC	2 ms; 6,940 KB
testcase_20	AC	3 ms; 6,944 KB
testcase_21	AC	2 ms; 6,940 KB
testcase_22	AC	3 ms; 6,940 KB
testcase_23	AC	2 ms; 6,940 KB
testcase_24	AC	2 ms; 6,940 KB
testcase_25	AC	2 ms; 6,944 KB
testcase_26	AC	1 ms; 6,944 KB
testcase_27	AC	1 ms; 6,940 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 ffi = require("ffi")
local C = ffi.C
ffi.cdef[[
long long atoll(const char*);
]]

local function lltonumber(str)
  return C.atoll(str)
end

local n, w, k = io.read():match("(%d+) (%d+) (%d+)")
n = tonumber(n)
w = tonumber(w)
k = lltonumber(k)
local a = {}
for i = 1, n do
  a[i] = io.read("*n")
end
local t = {1}
for i = 2, 1 + w * 2 do
  t[i] = 0
end
for i = 1, w * 2 do
  for j = 1, n do
    local dst = i + a[j]
    if dst <= 1 + w * 2 then
      t[dst] = badd(t[dst], t[i])
    end
  end
end
local t1 = t[w + 1]
local t2 = bsub(t[2 * w + 1], bmul(t1, t1))

local mat = {{t1, t2}, {1, 0}}
local vec = {1, 0}


local tmpmat = {{}, {}}
local tmpvec = {}

local function matmat()
  for i = 1, 2 do
    for j = 1, 2 do
      local v = 0
      for k = 1, 2 do
        v = badd(v, bmul(mat[i][k], mat[k][j]))
      end
      tmpmat[i][j] = v
    end
  end
  for i = 1, 2 do for j = 1, 2 do
    mat[i][j] = tmpmat[i][j]
  end end
end

local function matvec()
  for i = 1, 2 do
    local v = 0
    for k = 1, 2 do
      v = badd(v, bmul(mat[i][k], vec[k]))
    end
    tmpvec[i] = v
  end
  for i = 1, 2 do
    vec[i] = tmpvec[i]
  end
end

while 0LL < k do
  if k % 2LL == 1LL then
    matvec()
  end
  matmat()
  k = k / 2LL
end
print(vec[1])