#pragma GCC optimize ("O3") #pragma GCC target ("avx") #include using namespace std; using int64 = long long; const int mod = (1e9 + 7); const int64 infll = (1LL << 62) - 1; const int inf = (1 << 30) - 1; struct IoSetup { IoSetup() { cin.tie(nullptr); ios::sync_with_stdio(false); cout << fixed << setprecision(10); cerr << fixed << setprecision(10); } } iosetup; template< typename T1, typename T2 > ostream &operator<<(ostream &os, const pair< T1, T2 > &p) { os << p.first << " " << p.second; return os; } template< typename T1, typename T2 > istream &operator>>(istream &is, pair< T1, T2 > &p) { is >> p.first >> p.second; return is; } template< typename T > ostream &operator<<(ostream &os, const vector< T > &v) { for(int i = 0; i < (int) v.size(); i++) { os << v[i] << (i + 1 != v.size() ? " " : ""); } return os; } template< typename T > istream &operator>>(istream &is, vector< T > &v) { for(T &in : v) is >> in; return is; } template< typename T1, typename T2 > inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); } template< typename T1, typename T2 > inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); } template< typename T = int64 > vector< T > make_v(size_t a) { return vector< T >(a); } template< typename T, typename... Ts > auto make_v(size_t a, Ts... ts) { return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...)); } template< typename T, typename V > typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) { t = v; } template< typename T, typename V > typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) { for(auto &e : t) fill_v(e, v); } template< typename F > struct FixPoint : F { FixPoint(F &&f) : F(forward< F >(f)) {} template< typename... Args > decltype(auto) operator()(Args &&... args) const { return F::operator()(*this, forward< Args >(args)...); } }; template< typename F > inline decltype(auto) MFP(F &&f) { return FixPoint< F >{forward< F >(f)}; } static constexpr uint32_t mul_inv(uint32_t n, int e = 5, uint32_t x = 1) { return e == 0 ? x : mul_inv(n, e - 1, x * (2 - x * n)); } template< uint32_t mod, bool fast = false > struct ModInt { using u32 = uint32_t; using u64 = uint64_t; static constexpr u32 inv = mul_inv(mod); static constexpr u32 r2 = -uint64_t(mod) % mod; uint32_t x; ModInt() : x(0) {} ModInt(const int64_t &y) : x(reduce(u64(fast ? y : (y >= 0 ? y % mod : (mod - (-y) % mod) % mod)) * r2)) {} u32 reduce(const u64 &w) const { return u32(w >> 32) + mod - u32((u64(u32(w) * inv) * mod) >> 32); } ModInt &operator+=(const ModInt &p) { if(int(x += p.x - 2 * mod) < 0) x += 2 * mod; return *this; } ModInt &operator-=(const ModInt &p) { if(int(x -= p.x) < 0) x += 2 * mod; return *this; } ModInt &operator*=(const ModInt &p) { x = reduce(uint64_t(x) * p.x); return *this; } ModInt &operator/=(const ModInt &p) { *this *= p.inverse(); return *this; } ModInt operator-() const { return ModInt() - *this; } ModInt operator+(const ModInt &p) const { return ModInt(*this) += p; } ModInt operator-(const ModInt &p) const { return ModInt(*this) -= p; } ModInt operator*(const ModInt &p) const { return ModInt(*this) *= p; } ModInt operator/(const ModInt &p) const { return ModInt(*this) /= p; } bool operator==(const ModInt &p) const { return get() == p.get(); } bool operator!=(const ModInt &p) const { return get() != p.get(); } int get() const { return reduce(x) % mod; } ModInt pow(int64_t n) const { ModInt ret(1), mul(*this); while(n > 0) { if(n & 1) ret *= mul; mul *= mul; n >>= 1; } return ret; } ModInt inverse() const { return pow(mod - 2); } friend ostream &operator<<(ostream &os, const ModInt &p) { return os << p.get(); } friend istream &operator>>(istream &is, ModInt &a) { int64_t t; is >> t; a = ModInt< mod, fast >(t); return (is); } static int get_mod() { return mod; } }; using modint = ModInt< mod, true >; int main() { int K, N, M; cin >> K >> N >> M; vector< modint > A(max(N, K)), C(K); for(int i = 0; i < K; i++) cin >> A[i]; cin >> C; for(int i = K; i < N; i++) { for(int k = 0; k < K; k++) { A[i] += C[k] * A[i - k - 1]; } } int L[100000], R[100000]; for(int i = 0; i < M; i++) { cin >> L[i] >> R[i]; } int64 tap[100000], X[100000] = {}; for(int i = 0; i < N; i++) tap[i] = A[i].get(); for(int i = 0; i < M; i++) { for(int j = L[i]; j < R[i]; j++) X[j] += tap[j - L[i]]; } for(int i = 0; i < N; i++) { cout << X[i] % mod << "\n"; } }