#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using ll = long long; constexpr int INF = 1001001001; constexpr int mod = 1000000007; // constexpr int mod = 998244353; template inline bool chmax(T& x, T y){ if(x < y){ x = y; return true; } return false; } template inline bool chmin(T& x, T y){ if(x > y){ x = y; return true; } return false; } namespace FastFourierTransform{ using real = double; // 複素数構造体 struct C{ real x, y; C() : x(0), y(0) {} C(real x, real y) : x(x), y(y) {} inline C operator+(const C &c) const {return C(x + c.x, y + c.y);} inline C operator-(const C &c) const {return C(x - c.x, y - c.y);} inline C operator*(const C &c) const {return C(x * c.x - y * c.y, x * c.y + y * c.x);} // 複素共役演算子 inline C conj() const {return C(x, -y);} }; const real PI = acosl(-1); int base = 1; vector rts = {{0,0}, {1,0}}; vector rev = {0,1}; void ensure_base(int nbase){ if(nbase <= base) return; rev.resize(1 << nbase); rts.resize(1 << nbase); for(int i = 0; i < (1 << nbase); ++i){ rev[i] = (rev[i >> 1] >> 1) + ((i & 1) << (nbase - 1)); } while(base < nbase){ real angle = PI * 2.0 / (1 << (base + 1)); for(int i = 1 << (base - 1); i < (1 << base); ++i){ rts[i << 1] = rts[i]; real angle_i = angle * (2*i + 1 - (1 << base)); rts[(i << 1) + 1] = C(cos(angle_i), sin(angle_i)); } ++base; } } void fft(vector &a, int n){ assert((n & (n - 1)) == 0); int zeros = __builtin_ctz(n); ensure_base(zeros); int shift = base - zeros; for(int i = 0; i < n; ++i){ if(i < (rev[i] >> shift)){ swap(a[i], a[rev[i] >> shift]); } } for(int k = 1; k < n; k <<= 1){ for(int i = 0; i < n; i += 2 * k){ for(int j = 0; j < k; ++j){ C z = a[i + j + k] * rts[j + k]; a[i + j + k] = a[i + j] - z; a[i + j] = a[i + j] + z; } } } } vector multiply(const vector &a, const vector &b){ int need = (int)a.size() + (int)b.size() - 1; int nbase = 1; while((1 << nbase) < need) ++nbase; ensure_base(nbase); int sz = 1 << nbase; vector fa(sz); for(int i = 0; i < sz; ++i){ int x = (i < (int)a.size() ? a[i] : 0); int y = (i < (int)b.size() ? b[i] : 0); fa[i] = C(x, y); } fft(fa, sz); C r(0, -0.25 / (sz >> 1)), s(0, 1), t(0.5, 0); for(int i = 0; i <= (sz >> 1); ++i){ int j = (sz - i) & (sz - 1); C z = (fa[j] * fa[j] - (fa[i] * fa[i]).conj()) * r; fa[j] = (fa[i] * fa[i] - (fa[j] * fa[j]).conj()) * r; fa[i] = z; } for(int i = 0; i < (sz >> 1); ++i){ C A0 = (fa[i] + fa[i + (sz >> 1)]) * t; C A1 = (fa[i] - fa[i + (sz >> 1)]) * t * rts[(sz >> 1) + i]; fa[i] = A0 + A1 * s; } fft(fa, sz >> 1); vector ret(need); for(int i = 0; i < need; ++i){ ret[i] = llround(i & 1 ? fa[i >> 1].y : fa[i >> 1].x); } return ret; } }; int main(){ ios::sync_with_stdio(false); cin.tie(nullptr); int L, M, N, A, B, Q; cin >> L >> M >> N; vector a(N), b(N); for(int i = 0; i < L; ++i){ cin >> A; a[A - 1] = 1; } for(int i = 0; i < M; ++i){ cin >> B; b[N - B] = 1; } auto c = FastFourierTransform::multiply(a, b); cin >> Q; for(int i = 0; i < Q; ++i){ cout << c[N - 1 + i] << '\n'; } return 0; }