#include #define LLI long long int #define FOR(v, a, b) for(LLI v = (a); v < (b); ++v) #define FORE(v, a, b) for(LLI v = (a); v <= (b); ++v) #define REP(v, n) FOR(v, 0, n) #define REPE(v, n) FORE(v, 0, n) #define REV(v, a, b) for(LLI v = (a); v >= (b); --v) #define ALL(x) (x).begin(), (x).end() #define RALL(x) (x).rbegin(), (x).rend() #define ITR(it, c) for(auto it = (c).begin(); it != (c).end(); ++it) #define RITR(it, c) for(auto it = (c).rbegin(); it != (c).rend(); ++it) #define EXIST(c,x) ((c).find(x) != (c).end()) #define fst first #define snd second #define popcount __builtin_popcount #define UNIQ(v) (v).erase(unique(ALL(v)), (v).end()) #define bit(i) (1LL<<(i)) #ifdef DEBUG #include #else #define dump(...) ((void)0) #endif using namespace std; template void join(ostream &ost, I s, I t, string d=" "){for(auto i=s; i!=t; ++i){if(i!=s)ost< istream& operator>>(istream &is, vector &v){for(auto &a : v) is >> a; return is;} template void puts_all(const T &value){std::cout << value << "\n";} template void puts_all(const T &value, const Args&... args){std::cout << value << " ";puts_all(args...);} template bool chmin(T &a, const U &b){return (a>b ? a=b, true : false);} template bool chmax(T &a, const U &b){return (a void fill_array(T (&a)[N], const U &v){fill((U*)a, (U*)(a+N), v);} template auto make_vector(int n, int m, const T &value){return vector>(n, vector(m, value));} struct Init{ Init(){ cin.tie(0); ios::sync_with_stdio(false); cout << fixed << setprecision(12); cerr << fixed << setprecision(12); } }init; template class ModInt{ public: uint64_t val; constexpr ModInt(): val(0){} constexpr ModInt(std::int64_t n){ if(n >= M) val = n % M; else if(n < 0) val = n % M + M; else val = n; } inline constexpr auto operator+(const ModInt &a) const {return ModInt(val + a.val);} inline constexpr auto operator-(const ModInt &a) const {return ModInt(val - a.val);} inline constexpr auto operator*(const ModInt &a) const {return ModInt(val * a.val);} inline constexpr auto operator/(const ModInt &a) const {return ModInt(val * a.inv().val);} inline constexpr auto& operator=(const ModInt &a){val = a.val; return *this;} inline constexpr auto& operator+=(const ModInt &a){if((val += a.val) >= M) val -= M; return *this;} inline constexpr auto& operator-=(const ModInt &a){if(val < a.val) val += M; val -= a.val; return *this;} inline constexpr auto& operator*=(const ModInt &a){(val *= a.val) %= M; return *this;} inline constexpr auto& operator/=(const ModInt &a){(val *= a.inv().val) %= M; return *this;} inline constexpr bool operator==(const ModInt &a) const {return val == a.val;} inline constexpr bool operator!=(const ModInt &a) const {return val != a.val;} inline constexpr auto& operator++(){*this += 1; return *this;} inline constexpr auto& operator--(){*this -= 1; return *this;} inline constexpr auto operator++(int){auto t = *this; *this += 1; return t;} inline constexpr auto operator--(int){auto t = *this; *this -= 1; return t;} inline constexpr static ModInt power(int64_t n, int64_t p){ if(p < 0) return power(n, -p).inv(); int64_t ret = 1, e = n; for(; p; (e *= e) %= M, p >>= 1) if(p & 1) (ret *= e) %= M; return ret; } inline constexpr static ModInt inv(int64_t a){ int64_t b = M, u = 1, v = 0; while(b){ int64_t t = a / b; a -= t * b; std::swap(a,b); u -= t * v; std::swap(u,v); } u %= M; if(u < 0) u += M; return u; } inline constexpr static auto frac(int64_t a, int64_t b){return ModInt(a) / ModInt(b);} inline constexpr auto power(int64_t p) const {return power(val, p);} inline constexpr auto inv() const {return inv(val);} friend inline constexpr auto operator-(const ModInt &a){return ModInt(-a.val);} friend inline constexpr auto operator+(int64_t a, const ModInt &b){return ModInt(a) + b;} friend inline constexpr auto operator-(int64_t a, const ModInt &b){return ModInt(a) - b;} friend inline constexpr auto operator*(int64_t a, const ModInt &b){return ModInt(a) * b;} friend inline constexpr auto operator/(int64_t a, const ModInt &b){return ModInt(a) / b;} friend std::istream& operator>>(std::istream &s, ModInt &a){s >> a.val; return s;} friend std::ostream& operator<<(std::ostream &s, const ModInt &a){s << a.val; return s;} }; template struct SquareMatrix{ std::array,N> matrix; SquareMatrix(){ for(size_t i = 0; i < N; ++i) for(size_t j = 0; j < N; ++j) matrix[i][j] = 0; } SquareMatrix(const T &val){ for(size_t i = 0; i < N; ++i) matrix[i].fill(val); } SquareMatrix(std::initializer_list> list){ int i = 0; for(auto it1 = list.begin(); it1 != list.end(); ++it1, ++i){ int j = 0; for(auto it2 = it1->begin(); it2 != it1->end(); ++it2, ++j){ matrix[i][j] = *it2; } } } bool operator==(const SquareMatrix &val) const {return matrix == val.matrix;} bool operator!=(const SquareMatrix &val) const {return !(*this == val);} auto& operator=(const SquareMatrix &val){ this->matrix = val.matrix; return *this; } auto& operator+=(const SquareMatrix &val){ for(size_t i = 0; i < N; ++i) for(size_t j = 0; j < N; ++j) matrix[i][j] = matrix[i][j] + val[i][j]; return *this; } auto& operator-=(const SquareMatrix &val){ for(size_t i = 0; i < N; ++i) for(size_t j = 0; j < N; ++j) matrix[i][j] = matrix[i][j] - val[i][j]; return *this; } auto& operator*=(const SquareMatrix &val){ std::array,N> temp = {}; for(size_t i = 0; i < N; ++i) for(size_t j = 0; j < N; ++j) for(size_t k = 0; k < N; ++k) temp[i][j] = temp[i][j] + matrix[i][k] * val[k][j]; std::swap(matrix, temp); return *this; } inline const auto& operator[](size_t i) const {return matrix[i];} inline auto& operator[](size_t i){return matrix[i];} inline int size() const {return N;} static auto make_unit(){ SquareMatrix ret; for(size_t i = 0; i < N; ++i) ret[i][i] = 1; return ret; } auto transpose() const { SquareMatrix ret; for(size_t i = 0; i < N; ++i) for(size_t j = 0; j < N; ++j) ret[i][j] = matrix[j][i]; return ret; } void show(int w = 10) const { #ifdef DEBUG std::cerr << "⎛" << std::string((w+1)*N, ' ') << "⎞" << std::endl; for(size_t i = 0; i < N; ++i){ std::cerr << "⎜"; for(size_t j = 0; j < N; ++j) std::cerr << std::setw(w) << matrix[i][j] << " "; std::cerr << "⎟"; std::cerr << std::endl; } std::cerr << "⎝" << std::string((w+1)*N, ' ') << "⎠" << std::endl; #endif } }; template auto operator+(const SquareMatrix &a, const SquareMatrix &b){auto ret = a; ret += b; return ret;} template auto operator-(const SquareMatrix &a, const SquareMatrix &b){auto ret = a; ret -= b; return ret;} template auto operator*(const SquareMatrix &a, const SquareMatrix &b){auto ret = a; ret *= b; return ret;} template SquareMatrix power(SquareMatrix a, uint64_t p){ if(p == 0) return SquareMatrix::make_unit(); if(p == 1) return a; auto temp = power(a, p/2); auto ret = temp * temp; if(p%2) ret *= a; return ret; } using mint = ModInt<1000000007>; using Mat = SquareMatrix; int main(){ LLI N, M, K, p, q; cin >> N >> M >> K >> p >> q; vector b(N); cin >> b; mint pr = mint::frac(p, q); mint ans = 0; Mat a = {{1 - pr, pr}, {pr, 1 - pr}}; a = power(a, K); REP(i,M){ ans += b[i] * a[0][0]; } FOR(i,M,N){ ans += b[i] * a[0][1]; } puts_all(ans); return 0; }