import sys from collections import defaultdict, Counter, deque from itertools import permutations, combinations, product, combinations_with_replacement, groupby, accumulate import operator from math import sqrt, gcd, factorial # from math import isqrt, prod,comb # python3.8用(notpypy) #from bisect import bisect_left,bisect_right #from functools import lru_cache,reduce #from heapq import heappush,heappop,heapify,heappushpop,heapreplace #import numpy as np #import networkx as nx #from networkx.utils import UnionFind #from numba import njit, b1, i1, i4, i8, f8 #from scipy.sparse import csr_matrix #from scipy.sparse.csgraph import shortest_path, floyd_warshall, dijkstra, bellman_ford, johnson, NegativeCycleError # numba例 @njit(i1(i4[:], i8[:, :]),cache=True) 引数i4配列、i8 2次元配列,戻り値i1 def input(): return sys.stdin.readline().rstrip() def divceil(n, k): return 1+(n-1)//k # n/kの切り上げを返す def yn(hantei, yes='Yes', no='No'): print(yes if hantei else no) def main(): mod = 10**9+7 mod2 = 998244353 n, k = map(int, input().split()) assert 3 <= n <= 200 and 3 <= k <= 200 dp = [[int(i != j) for j in range(k)] for i in range(k)] # dp[i][j]末尾がiで、末尾1つ前がjであるような、門松列列の通り数 dp2 = [[int(i != j)*(i+j) for j in range(k)] for i in range(k)] # dp2[i][j]末尾がiで、末尾1つ前がjであるような、門松列列の数列の和を足し合わせたもの for _ in range(3, n+1): dpacc = list(map(lambda x: list(accumulate(x)), dp)) dp2acc = list(map(lambda x: list(accumulate(x)), dp2)) newdp = [[0]*k for i in range(k)] newdp2 = [[0]*k for i in range(k)] for b in range(k): for c in range(k): if b > c: newdp[c][b] = (dpacc[b][b-1]-dp[b][c]) % mod2 newdp2[c][b] = (dp2acc[b][b-1]-dp2[b][c] + newdp[c][b]*c) % mod2 if b < c: newdp[c][b] = (dpacc[b][-1]-dpacc[b][b]-dp[b][c]) % mod2 newdp2[c][b] = (dp2acc[b][-1]-dp2acc[b][b]-dp2[b][c] + newdp[c][b]*c) % mod2 dp=newdp dp2=newdp2 print(sum(sum(d) for d in dp)%mod2,sum(sum(d) for d in dp2)%mod2) if __name__ == '__main__': main()