//#define _GLIBCXX_DEBUG #include #define rep(i, n) for(int i=0; i; using vs = vector; using vi = vector; using vvi = vector; template using PQ = priority_queue; template using PQG = priority_queue, greater >; const int INF = 0xccccccc; const ll LINF = 922337203685477580LL; template inline bool chmax(T1 &a, T2 b) {return a < b && (a = b, true);} template inline bool chmin(T1 &a, T2 b) {return a > b && (a = b, true);} template istream &operator>>(istream &is, pair &p) { return is >> p.first >> p.second;} template ostream &operator<<(ostream &os, const pair &p) { return os << p.first << ' ' << p.second;} const int mod = 1000000007; //const int mod = 998244353; struct mint { int64_t x; mint(int64_t x=0):x((x%mod+mod)%mod){} mint operator-() const { return mint(-x);} mint& operator+=(const mint a) { if ((x += a.x) >= mod) x -= mod; return *this; } mint& operator-=(const mint a) { if ((x += mod-a.x) >= mod) x -= mod; return *this; } mint& operator*=(const mint a) { (x *= a.x) %= mod; return *this;} mint operator+(const mint a) const { return mint(*this) += a;} mint operator-(const mint a) const { return mint(*this) -= a;} mint operator*(const mint a) const { return mint(*this) *= a;} mint pow(int64_t t) const { if (!t) return 1; mint a = pow(t>>1); a *= a; if (t&1) a *= *this; return a; } //for prime mod mint inv() const { return pow(mod-2);} mint& operator/=(const mint a) { return *this *= a.inv();} mint operator/(const mint a) {return mint(*this) /= a;} }; istream& operator>>(istream& is, mint& a) { return is >> a.x;} ostream& operator<<(ostream& os, const mint& a) { return os << a.x;} #define K 210 #define M 100010 //head int k, n, m; mint a[M], c[K]; P lr[M]; mint x[M], xx[M]; PQG

q1, q2; int main() { ios::sync_with_stdio(false); cin.tie(0); cin >> k >> n >> m; rep(i, k) cin >> a[i]; rep(i, k) cin >> c[i]; rep(i, m) cin >> lr[i]; rep(i, n-k) { rep(j, k) { a[i+k] += c[j] * a[i+k-j-1]; } } sort(lr, lr+m); int sh = 0; rep(i, n+1) { while(!q1.empty() and q1.top().first == i) { int now = q1.top().second; q1.pop(); if(lr[now].second == i) { for(int j = lr[now].first; j < i; j++) { xx[j] += a[j-lr[now].first]; } continue; } for(int j = lr[now].first; j < i; j++) { x[j] += a[j-lr[now].first]; } q2.emplace(lr[now].second, now); } if(i == n) break; if(i >= k) rep(j, k) { x[i] += c[j] * x[i-j-1]; } while(!q2.empty() and q2.top().first == i) { int now = q2.top().second; q2.pop(); int l, r; tie(l, r) = lr[now]; x[r] -= a[r-l]; for(int j = r-k; j < r; j++) { x[j] -= a[j-l]; xx[j] += a[j-l]; } } while(sh != m and lr[sh].first == i) { q1.emplace(min(i+k, lr[sh].second), sh); sh++; } } rep(i, n) cout << x[i]+xx[i] << '\n'; }