#include <iostream>
#include <algorithm>
#include <iomanip>
#include <vector>
#include <queue>
#include <deque>
#include <set>
#include <map>
#include <tuple>
#include <cmath>
#include <numeric>
#include <functional>
#include <cassert>
#include <atcoder/modint>

#define debug_value(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << #x << "=" << x << endl;
#define debug(x) cerr << "line" << __LINE__ << ":<" << __func__ << ">:" << x << endl;

template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return 1; } return 0; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return 1; } return 0; }

using namespace std;
typedef long long ll;

template<typename T>
vector<vector<T>> vec2d(int n, int m, T v){
    return vector<vector<T>>(n, vector<T>(m, v));
}

template<typename T>
vector<vector<vector<T>>> vec3d(int n, int m, int k, T v){
    return vector<vector<vector<T>>>(n, vector<vector<T>>(m, vector<T>(k, v)));
}

template<typename T>
void print_vector(vector<T> v, char delimiter=' '){
    if(v.empty()) {
        cout << endl;
        return;
    }
    for(int i = 0; i+1 < v.size(); i++) cout << v[i] << delimiter;
    cout << v.back() << endl;
}

using mint = atcoder::modint998244353;

ostream& operator<<(ostream& os, const mint& m){
    os << m.val();
    return os;
}

const ll MOD = 998244353;
#define N_MAX 200002
mint inv[N_MAX],fac[N_MAX],finv[N_MAX];

void init(){
    fac[0]=1;fac[1]=1;
    finv[0]=1;finv[1]=1;
    inv[1]=1;
    for(int i=2;i<N_MAX;i++){
        inv[i]=mint(MOD)-inv[MOD%i]*(MOD/i);
        fac[i]=fac[i-1]*(ll) i;
        finv[i]=finv[i-1]*inv[i];
    }
}

mint comb(ll n, ll r){
    if(n < r){
        return mint(0);
    }else{
        return fac[n]*finv[r]*finv[n-r];
    }
}

mint pow(mint a, ll n) {
    assert(n >= 0);
	mint ans = 1;
    while (n > 0) {
        if (n&1) ans = ans*a;
        a = a*a;
        n >>= 1;
    }
	return ans;
}

mint dp[200005][33];

int main(){
    ios::sync_with_stdio(false);
    cin.tie(0);
    cout << setprecision(10) << fixed;
    init();
    int n, m; cin >> n >> m;
    int msb = -1;
    for(int i = 30; i >= 0; i--){
        ll b = 1ll<<i;
        if(m&b){
            msb = i;
            break;
        }
    }
    int pcnt = 0;
    for(int i = msb; i >= 0; i--){
        int b = 1<<i;
        if(m&b){ 
            // 初めてここで小さくなる場合
            for(int j = 0; j <= i; j++){
                dp[0][j+pcnt] += comb(i, j);
            }
            pcnt++;
        }
    }
    dp[0][pcnt] += 1;
    for(int i = 0; i < n-1; i++){
        for(int j = 0; j <= 30; j++){
            for(int k = 0; k <= j; k++){
                dp[i+1][k] += dp[i][j]*comb(j, k);
            }
        }
    }
    // for(int j = 0; j < 30; j++) cout << dp[n-1][j] << ' ';
    // cout << endl;
    mint ans = 0;
    for(int j = 0; j <= 30; j++) ans += dp[n-1][j];
    cout << ans << endl;
}