MOD = 998244353
N, M = map(int, input().split())

fact = [1] * (M + 1)
rfact = [1] * (M + 1)
r = 1
for i in range(1, M + 1):
    fact[i] = r = r * i % MOD
rfact[M] = r = pow(fact[M], MOD - 2, MOD)
for i in range(M, 0, -1):
    rfact[i - 1] = r = r * i % MOD

def comb(n, k):
    return fact[n] * rfact[k] * rfact[n - k] % MOD

a = M // N
b = M - a * N
# a+1がb個、aがN-B個に分かれる
ans = 1
cm = M
for i in range(N - 1):
    if i < b:
        ans *= comb(cm, a + 1)
        ans %= MOD
        cm -= a + 1
    else:
        ans *= comb(cm, a)
        ans %= MOD
        cm -= a
print(ans)