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 check(a): return a[0] != a[1] and a[1] != a[2] and a[2] != a[0] and a[1] in [max(a), min(a)] def dot2(mat1, mat2, MOD): """ 行列積a@bの10**9+7modをオーバーフロー回避するために上下15bitで分割して掛け算する https://ikatakos.com/pot/programming_algorithm/python_tips/avoid_overflow """ mask = (1 << 15) - 1 mat1h = mat1 >> 15 mat1l = mat1 & mask mat2h = mat2 >> 15 mat2l = mat2 & mask mathh = mat1h @ mat2h % MOD matll = mat1l @ mat2l % MOD mathl = (mathh + matll - (mat1h - mat1l) @ (mat2h - mat2l)) % MOD res = (mathh << 30) + (mathl << 15) + matll res %= MOD return res def matrix_multiplication(a, n, k, mod=10**9+7): # n次正方行列a^k ans = np.eye(n, dtype=np.int64) while k: k, i = divmod(k, 2) if i: ans = dot2(ans, a, mod) a = dot2(a, a, mod) return ans def main(): mod = 10**9+7 mod2 = 998244353 n, k = map(int, input().split()) mat = [[0]*2*k*k for i in range(2*k*k)] ans = [0]*2*k*k for a in range(k): for b in range(k): for c in range(k): if check([a, b, c]): mat[a*k+b][b*k+c] += 1 mat[a*k+b+k**2][b*k+c+k**2] += 1 mat[a*k+b][b*k+c+k**2] += a if a != b: ans[a*k+b] += 1 ans[a*k+b+k**2] += a+b newmat=[] newans=[] for x in range(2): for a in range(k): for b in range(k): if a!=b: tmp=[] for y in range(2): for c in range(k): for d in range(k): if c!=d: tmp.append(mat[a*k+b+x*k**2][c*k+d+y*k**2]) newmat.append(tmp) newans.append(ans[a*k+b+x*k**2]) mat2=matrix_multiplication(np.array(newmat,dtype=np.int64), 2*k*(k-1), n-2, mod2) ans2=dot2(np.array(newans,dtype=np.int64),mat2,mod2) #print(ans2[:k*k]) #print(ans2[k*k:]) print(ans2[:k*(k-1)].sum()%mod2,ans2[k*(k-1):].sum()%mod2) if __name__ == '__main__': main()