""" """ import sys from sys import stdin def modfac(n, MOD): f = 1 factorials = [1] for m in range(1, n + 1): f *= m f %= MOD factorials.append(f) inv = pow(f, MOD - 2, MOD) invs = [1] * (n + 1) invs[n] = inv for m in range(n, 1, -1): inv *= m inv %= MOD invs[m - 1] = inv return factorials, invs def modnCr(n,r): return fac[n] * inv[n-r] * inv[r] % mod N,M = map(int,stdin.readline().split()) A = [ M//N ] * N rem = M - sum(A) for i in range(rem): A[i] += 1 mod = 998244353 fac,inv = modfac(M+10,mod) ans = 1 for i in A: ans *= modnCr(M , i) ans %= mod M -= i print (ans)