local mod = 1000000007 local mfl = math.floor local function bmul(x, y) local x1, y1 = x % 10000, y % 10000 local x2, y2 = mfl(x / 10000) % 10000, mfl(y / 10000) % 10000 local x3, y3 = mfl(x / 100000000), mfl(y / 100000000) local ret = (x1 * y1 + (x1 * y2 + x2 * y1) * 10000) % mod ret = (ret + (x1 * y3 + x2 * y2 + x3 * y1) * 10000 % mod * 10000 % mod) % mod ret = (ret + (x2 * y3 + x3 * y2) * 10000 % mod * 10000 % mod * 10000) % mod ret = (ret + x3 * y3 * 930000007) % mod return ret 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 function goldpow(z, r, pow) local resz, resr = 1, 0 while (0 < pow) do if (pow % 2 == 1) then resz, resr = (bmul(resz, z) + 5 * bmul(resr, r)) % mod, (bmul(resz, r) + bmul(resr, z)) % mod pow = pow - 1 end z, r = (bmul(z, z) + 5 * bmul(r, r)) % mod, bmul(2 * z, r) pow = mfl(pow / 2) end return resz; end local n = io.read("*n") -- ans = (1/5){phi^(2n+1) + (1-phi)^(2n+1)+(-1)^(n+1)} local a = goldpow(1, 1, 2 * n + 1) local b = goldpow(1, -1, 2 * n + 1) local c = modinv(modpow(2, 2 * n + 1)) local ret = bmul((a + b), c) ret = ret + ((n % 2) * 2 - 1) ret = bmul(ret, modinv(5)) print(ret)