import sys input = sys.stdin.readline N,M=map(int,input().split()) mod=998244353 FACT=[1] for i in range(1,2*10**6+1): FACT.append(FACT[-1]*i%mod) FACT_INV=[pow(FACT[-1],mod-2,mod)] for i in range(2*10**6,0,-1): FACT_INV.append(FACT_INV[-1]*i%mod) FACT_INV.reverse() def Combi(a,b): if 0<=b<=a: return FACT[a]*FACT_INV[b]*FACT_INV[a-b]%mod else: return 0 if N==1: print(1) else: ANS=0 for i in range(M): ANS=ANS+Combi(M-(N-1)*i,i) ANS%=mod print(ANS)