local mod = 1000000007 local mfl = math.floor local function bmul(x, y) local x0, y0 = x % 31623, y % 31623 local x1, y1 = mfl(x / 31623), mfl(y / 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, m, k = io.read("*n", "*n", "*n") local p, q = io.read("*n", "*n") local b1, b2 = 0, 0 for i = 1, m do b1 = badd(b1, io.read("*n")) end for i = m + 1, n do b2 = badd(b2, io.read("*n")) end -- [1] not moved -- move rate = alpha = (q - p) / q -- [ {alhpa + (1 - alpha)}^k + {alpha - (1 - alpha)}^k ] / 2 local a = bmul(2 * (q - p), modinv(q)) a = bsub(a, 1) local notmoved = badd(1, modpow(a, k)) notmoved = bmul(notmoved, 500000004) notmoved = bmul(notmoved, b1) -- [2] moved -- move rate = alpha = p / q -- [ {alhpa + (1 - alpha)}^k - {alpha - (1 - alpha)}^k ] / 2 -- local moved_base = bmul(2 * p, modinv(q)) local moved = bsub(1, modpow(a, k)) moved = bmul(moved, 500000004) moved = bmul(moved, b2) local ret = badd(notmoved, moved) print(ret)