#include using i32 = std::int32_t; using u32 = std::uint32_t; using i64 = std::int64_t; using u64 = std::uint64_t; using i128 = __int128_t; using u128 = __uint128_t; using isize = std::ptrdiff_t; using usize = std::size_t; class rep { struct Iter { usize itr; constexpr Iter(const usize pos) noexcept: itr(pos) { } constexpr void operator ++ () noexcept { ++itr; } constexpr bool operator != (const Iter& other) const noexcept { return itr != other.itr; } constexpr usize operator * () const noexcept { return itr; } }; const Iter first, last; public: explicit constexpr rep(const usize first, const usize last) noexcept: first(first), last(std::max(first, last)) { } constexpr Iter begin() const noexcept { return first; } constexpr Iter end() const noexcept { return last; } }; template constexpr T INFTY = std::numeric_limits::max() / Div; template bool setmax(T& lhs, const T& rhs) { if (lhs < rhs) { lhs = rhs; return true; } return false; } template constexpr T rem_euclid(T value, const T& mod) { return (value %= mod) >= 0 ? value : value + mod; } namespace static_modint_internal { constexpr u32 totient(u32 x) noexcept { u32 ret = x; for (u32 i = 2; i * i <= x; ++i) { if (x % i == 0) { ret /= i; ret *= i - 1; while (x % i == 0) x /= i; } } if (x > 1) { ret /= x; ret *= x - 1; } return ret; } } template * = nullptr> class StaticModint { using Mint = StaticModint; static inline constexpr u32 PHI = static_modint_internal::totient(MOD); u32 v; public: static constexpr u32 mod() noexcept { return MOD; } template and std::is_integral_v>* = nullptr> static constexpr T normalize(const T x) noexcept { return rem_euclid>(x, MOD); } template and std::is_integral_v>* = nullptr> static constexpr T normalize(const T x) noexcept { return x % MOD; } constexpr StaticModint() noexcept: v(0) { } template explicit constexpr StaticModint(const T x) noexcept: v(normalize(x)) { } template static constexpr Mint raw(const T x) noexcept { Mint ret; ret.v = x; return ret; } constexpr u32 get() const noexcept { return v; } constexpr Mint neg() const noexcept { return raw(v == 0 ? 0 : MOD - v); } constexpr Mint operator - () const noexcept { return neg(); } constexpr Mint inv() const noexcept { return pow(PHI - 1); } constexpr Mint operator ~ () const noexcept { return inv(); } constexpr Mint pow(u64 exp) const noexcept { Mint ret(1), mult(*this); for (; exp > 0; exp >>= 1) { if (exp & 1) ret *= mult; mult *= mult; } return ret; } constexpr Mint operator + (const Mint& rhs) const noexcept { return Mint(*this) += rhs; } constexpr Mint& operator += (const Mint& rhs) noexcept { if ((v += rhs.v) >= MOD) v -= MOD; return *this; } constexpr Mint operator - (const Mint& rhs) const noexcept { return Mint(*this) -= rhs; } constexpr Mint& operator -= (const Mint& rhs) noexcept { if (v < rhs.v) v += MOD; v -= rhs.v; return *this; } constexpr Mint operator * (const Mint& rhs) const noexcept { return Mint(*this) *= rhs; } constexpr Mint& operator *= (const Mint& rhs) noexcept { v = (u64) v * rhs.v % MOD; return *this; } constexpr Mint operator / (const Mint& rhs) const noexcept { return Mint(*this) /= rhs; } constexpr Mint& operator /= (const Mint& rhs) noexcept { return *this *= rhs.inv(); } constexpr bool operator == (const Mint& rhs) const noexcept { return v == rhs.v; } constexpr bool operator != (const Mint& rhs) const noexcept { return v != rhs.v; } friend std::ostream& operator << (std::ostream& stream, const Mint& rhs) { return stream << rhs.v; } }; template using Vec = std::vector; using Fp = StaticModint<1000000007>; void D_main() { i64 A, B, C, D, N; std::cin >> A >> B >> C >> D >> N; i64 max = -INFTY; for (const auto x: { A, B }) { for (const auto y: { C, D }) { i64 a = x, b = y; for (auto _: rep(0, N % 8)) { const auto c = a - b; const auto d = a + b; a = c, b = d; } setmax(max, a + b); } } std::cout << Fp(max) * Fp(16).pow(N / 8) << '\n'; return; } int main() { std::ios_base::sync_with_stdio(false); #ifndef LOCAL std::cin.tie(nullptr); #endif D_main(); return 0; }