#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
#define rep(i,n) for(int i=0;i<(n);i++)
typedef long long ll;
//using mint = modint;
using mint = modint998244353;
using P = pair<int, int>;

const ll INF=1LL<<60, dx[]={0,1,0,-1},dy[]={1,0,-1,0};
template <typename T> inline bool chmin(T& a,const T&b) {if(a>b){a=b; return 1;} return 0;}
template <typename T> inline bool chmax(T& a,const T&b) {if(a<b){a=b; return 1;} return 0;}

const int MAX = 1000000;
const int MOD = 998244353;

mint fac[MAX], finv[MAX], inv[MAX];

// テーブルを作る前処理
void COMinit() {
    fac[0] = fac[1] = 1;
    finv[0] = finv[1] = 1;
    inv[1] = 1;
    for (int i = 2; i < MAX; i++){
        fac[i] = fac[i - 1] * i ;
        inv[i] = MOD - inv[MOD%i] * (MOD / i) ;
        finv[i] = finv[i - 1] * inv[i] ;
    }
}

// 二項係数計算
mint COM(int n, int k){
    if (n < k) return 0;
    if (n < 0 || k < 0) return 0;
    return fac[n] * (finv[k] * finv[n - k] ) ;
}

int main(){

    int n,m;
    cin >> n >> m;

    COMinit();
    mint ans=1;
    int c=(m-1)/n;

    rep(i,n) {
        if((n-i)*c==m) {
            ans*=COM(m,c);
        } else {
            ans*=COM(m,c+1);
            m--;
        } 
        //cout << m  << " " << c << " " << ans.val()  << endl;
        m-=c;
    }
    cout << ans.val() << endl;

    return 0;
}