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 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 MOD2 = MOD-1 val N = nl() val M = ni() var ans = 0L fun arith(n: Int) = n.toLong()*(n + 1)%MOD *((MOD+1)/2) %MOD val nsub1 = (MOD2 + N - 1) %MOD2 val calc = LongArray(M + 1) for (i in 1 .. M) { calc[i] = powMod(i.toLong(), nsub1, MOD) } // 最大がiになる組み合わせ fun combWithMax(i: Int, n: Long) = (calc[i] + (MOD - calc[i-1])) %MOD for (i in 1 .. M) { // i as max run { val combMaxEqI = combWithMax(i, nsub1) // 最大値がi val combLeI = calc[i]// i以下 val c = (arith(i - 1) *combMaxEqI + i*combLeI) %MOD // 貢献度*組み合わせ // debug{"$i $c"} ans += c *i %MOD // *最大値 } // i as min run { val combMinEqI = combWithMax(M - (i-1), nsub1) // 最小値がi val combGeI = calc[M - (i-1)] // i以上 val c = ((arith(M) + (MOD - arith(i)))%MOD *combMinEqI + i*combGeI) %MOD // debug{"$i $combMinEqI $combGeI $c"} ans += (MOD - c) %MOD *i %MOD // *最小値 } ans %= MOD } out.println(ans *(N%MOD) %MOD) } 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())} } fun main() { val out = java.io.PrintWriter(System.out) Solver(System.`in`, out).solve() out.flush() }