//つぶあん つぶす
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef pair<ll, ll> l_l;
typedef pair<int, int> i_i;
template<class T>
inline bool chmax(T &a, T b) {
    if(a < b) {
        a = b;
        return true;
    }
    return false;
}

template<class T>
inline bool chmin(T &a, T b) {
    if(a > b) {
        a = b;
        return true;
    }
    return false;
}

const long double EPS = 1e-10;
const long long INF = 1e18;
const long double PI = acos(-1.0L);
const ll mod = 998244353;
ll inv[10000100];
ll FactorialInv[10000100];
ll Factorial[10000100];
ll beki(ll a, ll b){
    a %= mod;
    if(b == 0){
        return 1;
    }
    ll ans = beki(a, b / 2);
    ans = ans * ans % mod;
    if(b % 2 == 1){
        ans = ans * a % mod;
    }
    return ans;
}
void init_combination(){
    const int MAX = 10000002;
    Factorial[0] = 1;
    inv[0] = 1;
    for(int i = 1; i <= MAX; i++){
        Factorial[i] = Factorial[i - 1] * i % mod;
    }
    FactorialInv[MAX] = beki(Factorial[MAX], mod - 2);
    for(ll i = MAX - 1; i >= 0; i--) {
        FactorialInv[i] = FactorialInv[i+1] * (i+1) % mod;
    }
    for(int i = 1; i <= MAX; i++) {
        inv[i] = FactorialInv[i] * Factorial[i-1] % mod;
    }
}
ll combination(ll a, ll b){
    if((a == b) || (b == 0)){
        return 1;
    }
    if(a < b) return 0;
    ll ans = Factorial[a] * FactorialInv[b] % mod;
    ans = ans * FactorialInv[a - b] % mod;
    return ans;
}

ll N, M;
ll ans[3];

void ANSWER() {
    for(int i = 0; i < 3; i++) {
        if(i != 0) cout << " ";
        cout << ans[i];
    }
    cout << endl;
}

int main() {
    //cout.precision(10);
    cin.tie(0);
    ios::sync_with_stdio(false);
    init_combination();
    cin >> N >> M;
    ans[0] = beki(2, N);
    ans[1] = 1;
    for(int i = 0; i < N; i++) {
        ans[1] *= beki(2, M - i) - 1;
        ans[1] %= mod;
        ans[1] *= beki(2, i);
        ans[1] %= mod;
    }
    for(int Empty = 0; Empty <= N + 1; Empty++) {
        ll tmp = combination(N + 1, Empty);
        tmp *= beki(N + 1 - Empty, M);
        tmp %= mod;
        //cerr << Empty << " " << tmp << endl;
        if(Empty & 1) ans[2] -= tmp;
        else ans[2] += tmp;
        //cerr << ans[2] << endl;
    }
    for(int Empty = 0; Empty <= N; Empty++) {
        ll tmp = combination(N, Empty);
        tmp *= beki(N - Empty, M);
        tmp %= mod;
        //cerr << Empty << " " << tmp << endl;
        if(Empty & 1) ans[2] -= tmp;
        else ans[2] += tmp;
        //cerr << ans[2] << endl;
    }
    ans[1] *= FactorialInv[N];
    ans[1] %= mod;
    ans[2] %= mod;
    ans[2] *= FactorialInv[N];
    ans[2] %= mod;
    ans[2] += mod;
    ans[2] %= mod;
    ANSWER();
    return 0;
}