mod = 998244353


def main():
    import sys
    input = sys.stdin.readline

    # comb init
    nmax = 2 * 10 ** 6 + 10  # change here
    fac = [0] * nmax
    finv = [0] * nmax
    inv = [0] * nmax
    fac[0] = 1
    fac[1] = 1
    finv[0] = 1
    finv[1] = 1
    inv[1] = 1
    for i in range(2, nmax):
        fac[i] = fac[i - 1] * i % mod
        inv[i] = mod - inv[mod % i] * (mod // i) % mod
        finv[i] = finv[i - 1] * inv[i] % mod

    def comb(n, r):
        if n < r:
            return 0
        else:
            return (fac[n] * ((finv[r] * finv[n - r]) % mod)) % mod

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

    x = M // N
    num_large = M % N
    num_small = N - M % N
    ans = 1
    for _ in range(num_large):
        ans = (ans * comb(M, x+1)) % mod
        M -= x + 1
    for _ in range(num_small):
        ans = (ans * comb(M, x)) % mod
        M -= x
    print(ans)


if __name__ == '__main__':
    main()