// >>> TEMPLATES #include using namespace std; using ll = long long; using ld = long double; using i32 = int32_t; using i64 = int64_t; using u32 = uint32_t; using u64 = uint64_t; #define int ll #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define rep1(i, n) for (int i = 1; i <= (int)(n); i++) #define repR(i, n) for (int i = (int)(n)-1; i >= 0; i--) #define rep1R(i, n) for (int i = (int)(n); i >= 1; i--) #define loop(i, a, B) for (int i = a; i B; i++) #define loopR(i, a, B) for (int i = a; i B; i--) #define all(x) begin(x), end(x) #define allR(x) rbegin(x), rend(x) #define rng(x, l, r) begin(x) + (l), begin(x) + (r) #define pb push_back #define eb emplace_back #define fst first #define snd second template constexpr auto mp(A &&a, B &&b) { return make_pair(forward(a), forward(b)); } template constexpr auto mt(T&&... x) { return make_tuple(forward(x)...); } template auto constexpr inf_ = numeric_limits::max()/2-1; auto constexpr INF32 = inf_; auto constexpr INF64 = inf_; auto constexpr INF = inf_; #ifdef LOCAL #include "debug.hpp" #else #define dump(...) (void)(0) #define say(x) (void)(0) #define debug if (0) #endif template struct pque : priority_queue, Comp> { vector &data() { return this->c; } void clear() { this->c.clear(); } }; template using pque_max = pque>; template using pque_min = pque>; template ::value, int> = 0> ostream& operator<<(ostream& os, T const& a) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ::value, int> = 0> ostream& operator<<(ostream& os, const T (&a)[N]) { bool f = true; for (auto const& x : a) os << (f ? "" : " ") << x, f = false; return os; } template ())), class = typename enable_if::value>::type> istream& operator>>(istream& is, T &a) { for (auto& x : a) is >> x; return is; } template ostream& operator<<(ostream& os, pair const& p) { return os << p.first << " " << p.second; } template istream& operator>>(istream& is, pair& p) { return is >> p.first >> p.second; } struct IOSetup { IOSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(15); } } iosetup; template struct FixPoint : private F { constexpr FixPoint(F&& f) : F(forward(f)) {} template constexpr auto operator()(T&&... x) const { return F::operator()(*this, forward(x)...); } }; struct MakeFixPoint { template constexpr auto operator|(F&& f) const { return FixPoint(forward(f)); } }; #define MFP MakeFixPoint()| #define def(name, ...) auto name = MFP [&](auto &&name, __VA_ARGS__) template struct vec_impl { using type = vector::type>; template static type make_v(size_t n, U&&... x) { return type(n, vec_impl::make_v(forward(x)...)); } }; template struct vec_impl { using type = T; static type make_v(T const& x = {}) { return x; } }; template using vec = typename vec_impl::type; template auto make_v(Args&&... args) { return vec_impl::make_v(forward(args)...); } template void quit(T const& x) { cout << x << endl; exit(0); } template constexpr bool chmin(T& x, U const& y) { if (x > y) { x = y; return true; } return false; } template constexpr bool chmax(T& x, U const& y) { if (x < y) { x = y; return true; } return false; } template constexpr auto sumof(It b, It e) { return accumulate(b, e, typename iterator_traits::value_type{}); } template int sz(T const& x) { return x.size(); } template int lbd(C const& v, T const& x) { return lower_bound(begin(v), end(v), x)-begin(v); } template int ubd(C const& v, T const& x) { return upper_bound(begin(v), end(v), x)-begin(v); } constexpr int64_t mod(int64_t x, int64_t m) { assert(m > 0); return (x %= m) < 0 ? x+m : x; } constexpr int64_t div_floor(int64_t x, int64_t y) { assert(y != 0); return x/y - ((x^y) < 0 and x%y); } constexpr int64_t div_ceil(int64_t x, int64_t y) { assert(y != 0); return x/y + ((x^y) > 0 and x%y); } constexpr int dx[] = { 1, 0, -1, 0, 1, -1, -1, 1 }; constexpr int dy[] = { 0, 1, 0, -1, 1, 1, -1, -1 }; constexpr int popcnt(ll x) { return __builtin_popcountll(x); } mt19937_64 seed_{random_device{}()}; template Int rand(Int a, Int b) { return uniform_int_distribution(a, b)(seed_); } i64 irand(i64 a, i64 b) { return rand(a, b); } // [a, b] u64 urand(u64 a, u64 b) { return rand(a, b); } // template void shuffle(It l, It r) { shuffle(l, r, seed_); } vector &operator--(vector &v) { for (int &x : v) --x; return v; } vector &operator++(vector &v) { for (int &x : v) ++x; return v; } // <<< template decltype(T::one()) semi_ring_one(signed) { return T::one(); } template constexpr T semi_ring_one(long) { return 1; } template vector pow(vector const& c, int n) { assert(n >= 0); const int L = c.size(); vector ret(L), b(L), nxt(L); ret[0] = semi_ring_one(0); auto inc = [&](vector& a) { auto const x = a.back(); for (int i = L-1; i >= 0; --i) { a[i] = x * c[i]; if (i > 0) a[i] += a[i-1]; } }; auto dbl = [&](vector& a) { rep (i, L) b[i] = a[i], nxt[i] = T(); rep (i, L) { rep (j, L) nxt[j] += a[i] * b[j]; inc(b); } swap(nxt, a); }; for (int k = 62; k >= 0; --k) { dbl(ret); if (n>>k&1) inc(ret); } return ret; } // >>> semi-ring struct SemiRing { using T = int; T a; constexpr SemiRing() : SemiRing(zero()) { } constexpr SemiRing(T a) : a(a) {} T val() const { return a; } static constexpr SemiRing zero() { return -INF; } static constexpr SemiRing one() { return +INF; } SemiRing operator*(SemiRing const& r) const { if (*this == zero() || r == zero()) return zero(); if (*this == one()) return r; if (r == one()) return *this; return min(a, r.a); } SemiRing operator+(SemiRing const& r) const { if (*this == zero()) return r; if (r == zero()) return *this; return max(a, r.a); } SemiRing& operator*=(SemiRing const& r) { return *this = (*this)*r; } SemiRing& operator+=(SemiRing const& r) { return *this = (*this)+r; } bool operator==(SemiRing const& r) const { return a == r.a; } friend ostream& operator<<(ostream& os, SemiRing const& x) { return os << x.a; } }; #ifdef LOCAL string to_s(SemiRing const& x) { return to_s(x.a); } #endif // <<< int32_t main() { int k, n; cin >> k >> n; vector a(k), b(k); rep (i, k) { int x; cin >> x; a[i] = x; } rep (i, k) { int x; cin >> x; b[i] = x; } auto res = pow(b, n); dump(res); auto ans = SemiRing(); rep (i, k) ans += a[i] * res[i]; cout << ans << '\n'; }