def oi(): return int(input())
def os(): return input()
def mi(): return list(map(int, input().split()))

# import sys
# input = sys.stdin.readline
# import sys
# sys.setrecursionlimit(10**8)
# import pypyjit
# pypyjit.set_param('max_unroll_recursion=-1')
input_count = 0

input_count = 0
N,M = mi()
mod = 998244353

def cmb(n, r, mod):
    if ( r<0 or r>n ):
        return 0
    r = min(r, n-r)
    return (g1[n] * g2[r])%mod * g2[n-r] % mod

CN = 10**6
g1 = [1, 1] # 元テーブル
g2 = [1, 1] #逆元テーブル
inverse = [0, 1] #逆元テーブル計算用テーブル

for i in range( 2, CN + 1 ):
    g1.append( ( g1[-1] * i ) % mod )
    inverse.append( ( -inverse[mod % i] * (mod//i) ) % mod )
    g2.append( (g2[-1] * inverse[-1]) % mod )

prd = 1
NOKORI = M
d = M//N
amari = M%N

for _ in range(N):
    if amari>0:
        
        prd = (prd * cmb(NOKORI , d+1, mod))%mod
        amari -= 1
        NOKORI -= 1
    else:
        prd = (prd * cmb(NOKORI , d, mod))%mod
    NOKORI -= d
print(prd)