package main import ( "bufio" "fmt" "math" "math/cmplx" "os" "sort" "strconv" ) func out(x ...interface{}) { fmt.Println(x...) } var sc = bufio.NewScanner(os.Stdin) func getInt() int { sc.Scan() i, e := strconv.Atoi(sc.Text()) if e != nil { panic(e) } return i } func getInts(N int) []int { ret := make([]int, N) for i := 0; i < N; i++ { ret[i] = getInt() } return ret } func getString() string { sc.Scan() return sc.Text() } // min, max, asub, absなど基本関数 func max(a, b int) int { if a > b { return a } return b } func min(a, b int) int { if a < b { return a } return b } func asub(a, b int) int { if a > b { return a - b } return b - a } func abs(a int) int { if a >= 0 { return a } return -a } func lowerBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] >= x }) return idx } func upperBound(a []int, x int) int { idx := sort.Search(len(a), func(i int) bool { return a[i] > x }) return idx } const n = 1 << 18 func FFT(x []complex128, n int) []complex128 { y := fft(x, n) for i := 0; i < n; i++ { y[i] = y[i] / complex(float64(n), 0.0) } return y } func IFFT(x []complex128, n int) []complex128 { y := make([]complex128, n) for i := 0; i < n; i++ { y[i] = cmplx.Conj(x[i]) } y = fft(y, n) for i := 0; i < n; i++ { y[i] = cmplx.Conj(y[i]) } return y } func fft(a []complex128, n int) []complex128 { x := make([]complex128, n) copy(x, a) j := 0 for i := 0; i < n; i++ { if i < j { x[i], x[j] = x[j], x[i] } m := n / 2 for { if j < m { break } j = j - m m = m / 2 if m < 2 { break } } j = j + m } kmax := 1 for { if kmax >= n { return x } istep := kmax * 2 for k := 0; k < kmax; k++ { theta := complex(0.0, -1.0*math.Pi*float64(k)/float64(kmax)) for i := k; i < n; i += istep { j := i + kmax temp := x[j] * cmplx.Exp(theta) x[j] = x[i] - temp x[i] = x[i] + temp } } kmax = istep } } func multPoly(P, Q []complex128) []complex128 { P = FFT(P, n) Q = FFT(Q, n) for i := 0; i < len(P); i++ { P[i] = P[i] * Q[i] } return IFFT(P, n) } func main() { sc.Split(bufio.ScanWords) sc.Buffer([]byte{}, 1000000) ac := make([]complex128, n) bc := make([]complex128, n) L, M, N := getInt(), getInt(), getInt() for i := 0; i < L; i++ { x := getInt() ac[x] += 1 } for i := 0; i < M; i++ { x := getInt() bc[N-x] += 1 } cc := multPoly(ac, bc) for i := 0; i < n; i++ { cc[i] /= 1.0 / n } w := bufio.NewWriter(os.Stdout) defer w.Flush() Q := getInt() for i := 0; i < Q; i++ { fmt.Fprintln(w, (int)(real(cc[i+N])+0.1)) } }