#ifdef LOCAL #define _GLIBCXX_DEBUG #endif #include using namespace std; #define rep(i,s,t) for(ll i = (ll)(s); i < (ll)(t); i++) #define rrep(i,s,t) for(ll i = (ll)(s-1);(ll)(t) <= i; i--) #define all(x) (x).begin(), (x).end() typedef long long ll; typedef long double ld; typedef pair Pll; typedef vector vl; typedef vector vvl; typedef vector vvvl; constexpr ll INF = numeric_limits::max()/4; constexpr ll n_max = 2e5+10; #define int ll template string to_string(pair p); string to_string(const string &s) {return '"' + s + '"';} string to_string(const char *c) {return to_string((string) c);} string to_string(bool b) {return (b ? "true" : "false");} template string to_string(bitset v){ string res = ""; for(size_t i = 0; i < N; i++) res += static_cast('0' + v[i]); return res; } template string to_string(A v) { bool first = true; string res = "{"; for(const auto &x : v) { if(!first) res += ", "; first = false; res += to_string(x); } res += "}"; return res; } template string to_string(pair p){return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";} void debug_out() {cerr << endl;} template void debug_out(Head H, Tail... T) { cerr << " " << to_string(H); debug_out(T...); } #ifdef LOCAL #define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__) #else #define debug(...) 42 #endif template bool chmax(T &a, T b){if(a < b){a = b; return true;} return false;} template bool chmin(T &a, T b){if(a > b){a = b; return true;} return false;} template class modint { using i64 = int_fast64_t; public: i64 a; constexpr modint(const i64 x = 0) noexcept { this -> a = x % Modulus; if(a < 0){ a += Modulus; } } constexpr int getmod() { return Modulus; } constexpr modint operator - () const noexcept { return a ? Modulus - a : 0; } constexpr const i64 &value() const noexcept {return a;} constexpr modint operator+(const modint rhs) const noexcept { return modint(*this) += rhs; } constexpr modint operator-(const modint rhs) const noexcept { return modint(*this) -= rhs; } constexpr modint operator*(const modint rhs) const noexcept { return modint(*this) *= rhs; } constexpr modint operator/(const modint rhs) const noexcept { return modint(*this) /= rhs; } constexpr modint &operator+=(const modint rhs) noexcept { a += rhs.a; if(a >= Modulus) { a -= Modulus; } return *this; } constexpr modint &operator-=(const modint rhs) noexcept { if(a < rhs.a) { a += Modulus; } a -= rhs.a; return *this; } constexpr modint &operator*=(const modint rhs) noexcept { a = a * rhs.a % Modulus; return *this; } constexpr modint &operator/=(modint rhs) noexcept { i64 a_ = rhs.a, b = Modulus, u = 1, v = 0; while(b){ i64 t = a_/b; a_ -= t * b; swap(a_,b); u -= t * v; swap(u,v); } a = a * u % Modulus; if(a < 0) a += Modulus; return *this; } // 自前実装 constexpr bool operator==(const modint rhs) noexcept { return a == rhs.a; } constexpr bool operator!=(const modint rhs) noexcept { return a != rhs.a; } constexpr bool operator>(const modint rhs) noexcept { return a > rhs.a; } constexpr bool operator>=(const modint rhs) noexcept { return a >= rhs.a; } constexpr bool operator<(const modint rhs) noexcept { return a < rhs.a; } constexpr bool operator<=(const modint rhs) noexcept { return a <= rhs.a; } constexpr modint& operator++() noexcept { return (*this) += modint(1); } // constexpr modint operator++(int) { // modint tmp(*this); // operator++(); // return tmp; // } constexpr modint& operator--() noexcept { return (*this) -= modint(1); } // constexpr modint operator--(int) { // modint tmp(*this); // operator--(); // return tmp; // } template friend constexpr modint modpow(const modint &mt, T n) noexcept { if(n < 0){ modint t = (modint(1) / mt); return modpow(t, -n); } modint res = 1, tmp = mt; while(n){ if(n & 1)res *= tmp; tmp *= tmp; n /= 2; } return res; } friend constexpr string to_string(const modint &mt) noexcept { return to_string(mt.a); } }; // 標準入出力対応 template std::ostream &operator<<(std::ostream &out, const modint &m) { out << m.a; return out; } template std::istream &operator>>(std::istream &in, modint &m) { ll a; in >> a; m = modint(a); return in; } const ll MOD = 1e9+7; // const ll MOD = 998244353; using mint = modint; template struct BiCoef { vector fact_, inv_, finv_; constexpr BiCoef() {} constexpr BiCoef(int n) noexcept : fact_(n, 1), inv_(n, 1), finv_(n, 1) { init(n); } constexpr void init(int n) noexcept { fact_.assign(n, 1), inv_.assign(n, 1), finv_.assign(n, 1); int MOD = fact_[0].getmod(); for(int i = 2; i < n; i++){ fact_[i] = fact_[i-1] * i; inv_[i] = -inv_[MOD%i] * (MOD/i); finv_[i] = finv_[i-1] * inv_[i]; } } constexpr T com(int n, int k) const noexcept { if (n < k || n < 0 || k < 0) return 0; return fact_[n] * finv_[k] * finv_[n-k]; } constexpr T fact(int n) const noexcept { if (n < 0) return 0; return fact_[n]; } constexpr T inv(int n) const noexcept { if (n < 0) return 0; return inv_[n]; } constexpr T finv(int n) const noexcept { if (n < 0) return 0; return finv_[n]; } }; BiCoef bc(n_max); signed main(){ cin.tie(nullptr); ios::sync_with_stdio(false); ll n; cin >> n; ll k; cin >> k; mint ans = 0; mint sum = (mint(1) + mint(k)) * mint(k) / mint(2); rep(i,0,n){ ans += bc.com(n, i) * modpow(sum, i) * modpow(mint(k), n - i); } cout << ans << "\n"; }