#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; using namespace atcoder; typedef long long ll; #define rep(i, n) for (int i = 0; i < (int)(n); i++) #define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--) #define repk(i, k, n) for (int i = k; i < (int)(n); i++) #define all(v) v.begin(), v.end() #define mod1 1000000007 #define mod2 998244353 #define mod3 100000007 #define vi vector #define vs vector #define vc vector #define vl vector #define vb vector #define vvi vector> #define vvc vector> #define vvl vector> #define vvb vector> #define vvvi vector>> #define vvvl vector>> #define pii pair #define pil pair #define pli pair #define pll pair #define vpii vector> #define vpll vector> #define vvpii vector>> #define vvpll vector>> using mint = modint998244353; template void debug(T e) { cerr << e << endl; } template void debug(vector &v) { rep(i, v.size()) { cerr << v[i] << " "; } cerr << endl; } template void debug(vector> &v) { rep(i, v.size()) { rep(j, v[i].size()) { cerr << v[i][j] << " "; } cerr << endl; } } template void debug(vector> &v) { rep(i, v.size()) { cerr << v[i].first << " " << v[i].second << endl; } } template void debug(set &st) { for (auto itr = st.begin(); itr != st.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(multiset &ms) { for (auto itr = ms.begin(); itr != ms.end(); itr++) { cerr << *itr << " "; } cerr << endl; } template void debug(map &mp) { for (auto itr = mp.begin(); itr != mp.end(); itr++) { cerr << itr->first << " " << itr->second << endl; } } void debug_out() { cerr << endl; } template void debug_out(Head H, Tail... T) { cerr << H << " "; debug_out(T...); } vector n_adic(ll i, ll n, ll N) { ll x = 1; rep(j, N) { x *= n; } vector vec(N); rep(j, N) { x /= n; vec[j] = i / x; i -= x * vec[j]; } return vec; } int main() { ll N, M; cin >> N >> M; vector> dp(30, vector(31, 0)); ll now_popcnt = 0; vector bin_m = n_adic(M, 2, 30); if (bin_m[0] == 1) { dp[0][0] = 1; now_popcnt++; } for (ll i = 1; i < 30; i++) { for (ll j = 0; j < 30; j++) { dp[i][j] += dp[i - 1][j]; dp[i][j + 1] += dp[i - 1][j]; } if (bin_m[i] == 1) { dp[i][now_popcnt]++; now_popcnt++; } } dp[29][now_popcnt]++; ll n_pow = 1; ll ans = 0; for (ll i = 0; i <= 30; i++) { dp[29][i] %= mod2; ans += dp[29][i] * n_pow; ans %= mod2; n_pow = (n_pow * N) % mod2; } cout << ans << endl; }