#include<bits/stdc++.h>
#define L(i, j, k) for(int i = (j); i <= (k); ++i)
#define R(i, j, k) for(int i = (j); i >= (k); --i)
#define ll long long
#define sz(a) ((int) (a).size())
#define vi vector < int >
#define me(a, x) memset(a, x, sizeof(a))
#define ull unsigned long long
#define ld __float128
#define pb emplace_back
using namespace std;
const int N = 5007, mod = 998244353;
int n;
ll c;
int dp[128];
int ndp[128];
int main() {
	ios :: sync_with_stdio(false);
	cin.tie(0); cout.tie(0);
	cin >> n >> c;
	c -= 1LL << (n - 1);
	if(c < 0) {
		cout << 0 << '\n';
		return 0;
	}
	dp[0] = 1;
	L(i, 0, 60) {
		int mult = min(i + 1, n) + 1;
		L(t, 1, mult) { 
			R(j, 60 + t, 0) {
				(dp[j + 1] += dp[j]) %= mod;
			}
		}
		me(ndp, 0);
		L(j, 0, 120) if(j % 2 == (c >> i & 1)) 
			ndp[j / 2] = dp[j];
		swap(dp, ndp);
	}
	cout << dp[0] << '\n';
	return 0;
}