import sys input = lambda :sys.stdin.readline()[:-1] ni = lambda :int(input()) na = lambda :list(map(int,input().split())) yes = lambda :print("yes");Yes = lambda :print("Yes");YES = lambda : print("YES") no = lambda :print("no");No = lambda :print("No");NO = lambda : print("NO") ####################################################################### """mod = 998244353 nn = 3*10**5 fact = [1] * nn for i in range(nn - 1): fact[i + 1] = fact[i] * (i + 1) % mod invfact = [1] * nn invfact[nn - 1] = pow(fact[nn - 1], mod - 2, mod) for i in range(nn - 1)[::-1]: invfact[i] = invfact[i + 1] * (i + 1) % mod def binom(x, y): if x < 0 or y < 0 or x - y < 0: return 0 return fact[x] * invfact[y] % mod * invfact[x - y] % mod""" n,k = na() f = [0]*(k+1) mod = 998244353 for i in range(k+1): f[i] = (pow(k, n, mod)-n*(k-i)*pow(i,n-1,mod)-pow(i,n,mod))%mod #print(f) ans = 0 for i in range(k): f[i] -= f[i+1] f[i] %= mod ans += f[i]*(i+1)%mod ans %= mod print(ans)