""" 包除原理+行列木定理 """ import sys from sys import stdin def Detmod(a,mod = 10**18+3): assert len(a) == len(a[0]) n = len(a) b = [[a[i][j] for j in range(n)] for i in range(n)] ret = 1 for x in range(n): ret *= b[x][x] ret %= mod if b[x][x] == 0: return 0 inv = pow(b[x][x],mod-2,mod) for i in range(x+1,n): mul = b[i][x] * inv for j in range(x,n): b[i][j] -= b[x][j] * mul b[i][j] %= mod return ret # need Detmod class MatrixTreeTheorem(): def __init__(self): self.vdic = {} self.edges = [] def add_vertex(self,v): if v not in self.vdic: self.vdic[v] = len(self.vdic) return def add_edge(self,u,v): assert u in self.vdic assert v in self.vdic if u == v: return self.edges.append( (self.vdic[u],self.vdic[v]) ) def calc(self, mod = 10**18+3): if len(self.vdic) == 0: return 1 elif len(self.vdic) == 1: return 1 H = [[0] * len(self.vdic) for i in range(len(self.vdic))] for u2,v2 in self.edges: H[u2][u2] += 1 H[v2][v2] += 1 H[v2][u2] -= 1 H[u2][v2] -= 1 for i in range(len(self.vdic)): del H[i][-1] del H[-1] return Detmod(H,mod) mod = 998244353 N,K = map(int,stdin.readline().split()) ab = [ [] for i in range(K) ] for lp in range(K): t = int(stdin.readline()) for i in range(t): a,b = map(int,stdin.readline().split()) a -= 1 b -= 1 ab[lp].append( (a,b) ) ans = 0 for bit in range(2**K): zero = 0 for i in range(K): if 2**i & bit == 0: zero += 1 mt = MatrixTreeTheorem() for i in range(N): mt.add_vertex(i) for i in range(K): if 2**i & bit > 0: for a,b in ab[i]: mt.add_edge(a,b) now = mt.calc(mod = 998244353) if zero % 2 == 0: ans += now else: ans -= now print (ans % mod)