#include #include #include #include #include #include #include #include #include #include #include #include #include #include #define getchar getchar_unlocked #define putchar putchar_unlocked using namespace std; typedef long long int64; typedef long long unsigned uint64; typedef long double float80; typedef unsigned short uint16; typedef unsigned uint; typedef unsigned char uint8; uint get_uint() { uint n; int c; while( (c = getchar()) < '0') { ; } n = c - '0'; while( (c = getchar()) >= '0') { n = n * 10 + (c - '0'); } return n; } void put_uint(uint n) { uint8 stack[30]; int top = 0; do { stack[top++] = n % 10 + '0'; n /= 10; } while(n != 0); while(top > 0) { putchar(stack[--top]); } putchar('\n'); } template class Mod32 { private: uint n_; public: static const uint* roots; Mod32() {} Mod32(uint v) : n_(v) {} static Mod32 inv2(){ return (mod + 1) / 2; } static uint period() { return peri; } Mod32 operator+ (Mod32 rhs) const { uint ret = (this->n_ + rhs.n_); return Mod32(ret >= mod ? ret - mod : ret); } Mod32 operator- (Mod32 rhs) const { uint ret = (this->n_ - rhs.n_); return Mod32(int(ret) < 0 ? ret + mod : ret); } Mod32 operator* (Mod32 rhs) const { return Mod32(uint64(this->n_) * rhs.n_ % mod); } Mod32 operator+= (Mod32 rhs) { return *this = *this + rhs; } Mod32 operator-= (Mod32 rhs) { return *this = *this - rhs; } Mod32 operator*= (Mod32 rhs) { return *this = *this * rhs; } uint get_value() const { return this->n_; } void set_value(uint val) { this->n_ = val; } Mod32 inverse() const { return Mod32(pow_mod(n_, mod - 2)); } static uint pow_mod(uint base, uint exp) { uint ret = 1; while(exp) { if(exp & 1) { ret = uint64(ret) * base % mod; } exp >>= 1; base = uint64(base) * base % mod; } return ret; } }; const uint MOD = 469762049; typedef Mod32 mod32_t; const uint roots32[] = { 2187, 4782969, 320192759, 385303873, 391371999, 297449090, 197868229, 49553715, 422997289, 321129726, 386080322, 372627191, 19512135, 62025685, 244412522, 165447688, 110059487, 25153357, 338628632, 189158148, 210853138, 244709223, 426037461, 129701348, 450151958, 469762048, 1 }; template <> const uint * mod32_t::roots = roots32; // ----------------------------------------------------------------------------- template inline void sumdiff(T& a, T& b) { T t = a - b; a += b; b = t; } template void revbin_permute(T* A, uint n) { if(n <= 2) return; uint r = 0; uint nh = n >> 1; for(uint x = 1; x < n; ++x) { uint h = nh; while(! ((r ^= h) & h)) h >>= 1; if(r > x) swap(A[x], A[r]); } } template void ntt_dit4_core(mod_t *f, uint ldn, int sign) { const uint LX = 2; const uint n = 1u << ldn; if(ldn & 1) { for(uint i = 0; i < n; i += 2) { sumdiff(f[i], f[i+1]); } } mod_t imag = mod_t(mod_t::roots[mod_t::period() - 2]); if(sign < 0) { imag = imag.inverse(); } uint ldm = LX + (ldn & 1); for(; ldm <= ldn; ldm += LX) { const uint m = 1u << ldm; const uint m4 = m >> LX; mod_t dw = mod_t(mod_t::roots[mod_t::period() - ldm]); if(sign < 0) { dw = dw.inverse(); } mod_t w = mod_t(1); mod_t w2 = w; mod_t w3 = w; for(uint j = 0; j < m4; ++j) { for(uint r = 0, i0 = j + r; r < n; r += m, i0 += m) { mod_t a0 = f[i0 + m4 * 0]; mod_t a2 = f[i0 + m4 * 1] * w2; mod_t a1 = f[i0 + m4 * 2] * w; mod_t a3 = f[i0 + m4 * 3] * w3; mod_t t02 = a0 + a2; mod_t t13 = a1 + a3; f[i0 + m4 * 0] = t02 + t13; f[i0 + m4 * 2] = t02 - t13; t02 = a0 - a2; t13 = a1 - a3; t13 *= imag; f[i0 + m4 * 1] = t02 + t13; f[i0 + m4 * 3] = t02 - t13; } w *= dw; w2 = w * w; w3 = w * w2; } } } template void ntt_dit4(mod_t* f, uint ldn, int sign) { revbin_permute(f, 1u << ldn); ntt_dit4_core(f, ldn, sign); } mod32_t A[1 << 18]; mod32_t B[1 << 18]; void solve() { uint L = get_uint(); uint M = get_uint(); uint N = get_uint(); uint ntt_size = 1; uint ldn = 0; while (ntt_size < N) { ntt_size <<= 1; ldn++; } ntt_size <<= 1; ++ldn; for (uint i = 0; i < L; ++i) { A[get_uint()] = 1; } ntt_dit4(A, ldn, 1); for (uint i = 0; i < M; ++i) { B[N - get_uint()] = 1; } ntt_dit4(B, ldn, 1); for (uint i = 0; i < ntt_size; ++i) { A[i] *= B[i]; } ntt_dit4(A, ldn, -1); uint Q = get_uint(); mod32_t inv = mod32_t(ntt_size).inverse(); for (uint i = N; i < N + Q; ++i) { put_uint( (A[i] * inv).get_value() ); } } int main() { solve(); return 0; }