import java.io.BufferedReader import java.io.InputStream import java.io.InputStreamReader import java.lang.AssertionError import java.util.* import kotlin.math.abs import kotlin.math.max import kotlin.math.min val MOD = 998244353 fun powMat(a: Array, n: Long, mod: Int): Array { fun I() = run { Array(a.size){ val res = LongArray(a.size) res[it] = 1 res } } if (n == 0L) return I() if (n == 1L) return a val res = powMat(mulMat(a, a, mod), n / 2, mod) return if (n % 2 == 1L) mulMat(res, a, mod) else res } fun mulMat(a: Array, b: Array, mod: Int): Array { assert(a[0].size == b.size) val len = a[0].size val h = a.size val w = b[0].size val res = Array(h){LongArray(w)} val th = 7e18.toLong() for (i in 0 until h) { for (j in 0 until w) { var v = 0L for (k in 0 until len) { v += a[i][k] * b[k][j] if (v > th) v %= mod } res[i][j] = if (v >= mod) v % mod else v } } return res } fun powMod(a: Long, n: Long, mod: Int): Long { if (n == 0L) return 1 val res = powMod(a * a % mod, n / 2, mod) return if (n % 2 == 1L) res * a % mod else res } class Solver(stream: InputStream, private val out: java.io.PrintWriter) { private val reader = BufferedReader(InputStreamReader(stream), 32768) fun solve() { val N = nl() val (X, Y) = na(2) val A = na(X) val B = na(Y) var ans = 0L for (i in 0 until 20) { var x = 0 var y = 0 for (j in 0 until X) { if (A[j] shr i and 1 == 1) x++ } for (j in 0 until Y) { if (B[j] shr i and 1 == 1) y++ } val a = (y.toLong() * (X-x)) % MOD val b = y.toLong() * x % MOD val mat = arrayOf( longArrayOf(a, b), longArrayOf(0, X.toLong()*Y.toLong()%MOD) ) val f0 = arrayOf( longArrayOf(0), longArrayOf(1) ) val An = powMat(mat, N, MOD) val vec = mulMat(An, f0, MOD) val v = vec[0][0] debug{"i:$i v:$v x:$x y:$y"} ans = (ans + v * (1L shl i)) % MOD } out.println(ans) } private val isDebug = try { // なんか本番でエラーでる System.getenv("MY_DEBUG") != null } catch (t: Throwable) { false } private var tokenizer: StringTokenizer? = null private fun next(): String { while (tokenizer == null || !tokenizer!!.hasMoreTokens()) { tokenizer = StringTokenizer(reader.readLine()) } return tokenizer!!.nextToken() } private fun ni() = next().toInt() private fun nl() = next().toLong() private fun ns() = next() private fun na(n: Int, offset: Int = 0): IntArray { return IntArray(n) { ni() + offset } } private fun nal(n: Int, offset: Int = 0): LongArray { val res = LongArray(n) for (i in 0 until n) { res[i] = nl() + offset } return res } private fun na2(n: Int, offset: Int = 0): Array { val a = Array(2){IntArray(n)} for (i in 0 until n) { for (e in a) { e[i] = ni() + offset } } return a } private inline fun debug(msg: () -> String) { if (isDebug) System.err.println(msg()) } /** * コーナーケースでエラー出たりするので、debug(dp[1])のように添え字付きの場合はdebug{}をつかうこと */ private inline fun debug(a: LongArray) { debug { a.joinToString(" ") } } private inline fun debug(a: IntArray) { debug { a.joinToString(" ") } } private inline fun debug(a: BooleanArray) { debug { toString(a) } } private inline fun toString(a: BooleanArray) = run{a.map { if (it) 1 else 0 }.joinToString("")} private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } private inline fun debugDim(A: Array) { if (isDebug) { for (a in A) { debug(a) } } } /** * 勝手にimport消されるのを防ぎたい */ private fun hoge() { min(1, 2) max(1, 2) abs(-10) } private inline fun assert(b: Boolean) = run{if (!b) throw AssertionError()} private inline fun assert(b: Boolean, f: () -> String) = run{if (!b) throw AssertionError(f())} companion object { // TestRunnerから呼びたいので単純なmainじゃだめ fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() } } } /** * judgeから呼ばれる */ fun main() = Solver.main()