package main import ( "bufio" "fmt" "os" ) const MOD int = 1e9 + 7 const MAX int = 1024 func xorAndXor(nums1, nums2 []int, k int) int { f, g := make([]int, MAX), make([]int, MAX) f[0], g[0] = 1, 1 xor := 0 for _, num := range nums1 { xor ^= num f[xor]++ } xor = 0 for _, num := range nums2 { xor ^= num g[xor]++ } f = XorConvolution(f, f) f[0] = ((f[0]-(len(nums1)+1))%MOD + MOD) % MOD g = XorConvolution(g, g) g[0] = ((g[0]-(len(nums2)+1))%MOD + MOD) % MOD res := XorConvolution(f, g) return res[k] / 4 } func main() { in := bufio.NewReader(os.Stdin) out := bufio.NewWriter(os.Stdout) defer out.Flush() var n, m, k int fmt.Fscan(in, &n, &m, &k) nums1 := make([]int, n) nums2 := make([]int, m) for i := 0; i < n; i++ { fmt.Fscan(in, &nums1[i]) } for i := 0; i < m; i++ { fmt.Fscan(in, &nums2[i]) } fmt.Fprintln(out, xorAndXor(nums1, nums2, k)) } func XorConvolution(a, b []int) []int { a = append(a[:0:0], a...) b = append(b[:0:0], b...) a = walshHadamardTransform(a, 1) b = walshHadamardTransform(b, 1) for i := range a { a[i] = a[i] * b[i] % MOD } res := walshHadamardTransform(a, (MOD+1)/2) return res } func walshHadamardTransform(f []int, op int) []int { n := len(f) for l, k := 2, 1; l <= n; l, k = l<<1, k<<1 { for i := 0; i < n; i += l { for j := 0; j < k; j++ { f[i+j], f[i+j+k] = (f[i+j]+f[i+j+k])*op%MOD, (f[i+j]+MOD-f[i+j+k])*op%MOD } } } return f }