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 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 n = 3 local tmpmat = {} for i = 1, n do tmpmat[i] = {} end local tmpvec = {} local function matmat(mat2, mat) for i = 1, n do for j = 1, n do local v = 0 for k = 1, n do v = badd(v, bmul(mat2[i][k], mat[k][j])) end tmpmat[i][j] = v end end for i = 1, n do for j = 1, n do mat[i][j] = tmpmat[i][j] end end end local function matpow(mat, p) local ret = {} local z = {} for i = 1, n do ret[i] = {} z[i] = {} for j = 1, n do ret[i][j] = i == j and 1 or 0 z[i][j] = mat[i][j] end end while 0LL < p do if p % 2LL == 1LL then matmat(z, ret) end matmat(z, z) p = p / 2LL end return ret end local function matvec(mat, vec) for i = 1, n do local v = 0 for k = 1, n do v = badd(v, bmul(mat[i][k], vec[k])) end tmpvec[i] = v end for i = 1, n do vec[i] = tmpvec[i] end end -- RGB local a, b = io.read("*n", "*n") local t1 = { {1, 0, 0}, {0, 1, 0}, {a, b, 1} } local t2 = { {0, 0, 1}, {1, 0, 0}, {0, 0, 0} } local t3 = { {1, 0, 0}, {0, 1, 0}, {a, b, 1} } matmat(t2, t3) local q = io.read("*n", "*l") for iq = 1, q do local v = {1, 1, 0} local x = lltonumber(io.read()) local hx = x / 2LL local m = matpow(t3, hx) if x % 2LL == 1LL then matmat(t1, m) end matvec(m, v) print((v[1] + v[2] + v[3]) % mod) end