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 dot(a, b, MOD=10**9+7): n=len(a) ret = [[0] * n for _ in range(n)] for i in range(n): for j in range(n): ret[i][j] = sum(a[i][k] * b[k][j] for k in range(n)) % MOD return ret def dot2(a, b, MOD=10**9+7): n=len(a) ret = [0] * n for j in range(n): ret[j] = sum(a[k] * b[k][j] for k in range(n)) % MOD return ret def matrix_multiplication(a, n, k, mod=10**9+7): # n次正方行列a^k ans = [[int(i==j) for i in range(n)] for j in range(n)] while k: k, i = divmod(k, 2) if i: ans = dot(ans, a ,mod) a = dot(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(newmat, 2*k*(k-1), n-2, mod2) ans2=dot2(newans,mat2,mod2) #print(ans2[:k*k]) #print(ans2[k*k:]) print(sum(ans2[:k*(k-1)])%mod2,sum(ans2[k*(k-1):])%mod2) if __name__ == '__main__': main()