#include #include #include #include #include #include #include #include #include #include #include #include #include #include #ifndef templete #define rep(i,a,b) for(int i=a;i=b;i--) #define fore(i,a) for(auto &i:a) #define all(x) (x).begin(),(x).end() //#include //using namespace boost::multiprecision; using namespace std; using namespace atcoder; //using atmint = modint998244353; using atmint = modint; using Graph = vector>; using P = pair; //#pragma GCC optimize ("-O3") using namespace std; void _main(); int main() { cin.tie(0); ios::sync_with_stdio(false); _main(); } typedef long long ll; const int inf = INT_MAX / 2; const ll infl = 1LL << 60; templatebool chmax(T& a, const T& b) { if (a < b) { a = b; return 1; } return 0; } templatebool chmin(T& a, const T& b) { if (b < a) { a = b; return 1; } return 0; } //--------------------------------------------------------------------------------------------------- template struct ModInt { static const int Mod = MOD; unsigned x; ModInt() : x(0) { } ModInt(signed sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } ModInt(signed long long sig) { x = sig < 0 ? sig % MOD + MOD : sig % MOD; } int get() const { return (int)x; } ModInt &operator+=(ModInt that) { if ((x += that.x) >= MOD) x -= MOD; return *this; } ModInt &operator-=(ModInt that) { if ((x += MOD - that.x) >= MOD) x -= MOD; return *this; } ModInt &operator*=(ModInt that) { x = (unsigned long long)x * that.x % MOD; return *this; } ModInt &operator/=(ModInt that) { return *this *= that.inverse(); } ModInt operator+(ModInt that) const { return ModInt(*this) += that; } ModInt operator-(ModInt that) const { return ModInt(*this) -= that; } ModInt operator*(ModInt that) const { return ModInt(*this) *= that; } ModInt operator/(ModInt that) const { return ModInt(*this) /= that; } ModInt inverse() const { long long a = x, b = MOD, u = 1, v = 0; while (b) { long long t = a / b; a -= t * b; std::swap(a, b); u -= t * v; std::swap(u, v); } return ModInt(u); } bool operator==(ModInt that) const { return x == that.x; } bool operator!=(ModInt that) const { return x != that.x; } ModInt operator-() const { ModInt t; t.x = x == 0 ? 0 : Mod - x; return t; } }; template ostream& operator<<(ostream& st, const ModInt a) { st << a.get(); return st; }; template ModInt operator^(ModInt a, unsigned long long k) { ModInt r = 1; while (k) { if (k & 1) r *= a; a *= a; k >>= 1; } return r; } template struct Comb { vector fac, ifac; Comb(){fac.resize(FAC_MAX,1);ifac.resize(FAC_MAX,1);rep(i,1,FAC_MAX)fac[i]=fac[i-1]*i; ifac[FAC_MAX-1]=T(1)/fac[FAC_MAX-1];rrep(i,FAC_MAX-2,1)ifac[i]=ifac[i+1]*T(i+1);} T aPb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b]; } T aCb(int a, int b) { if (b < 0 || a < b) return T(0); return fac[a] * ifac[a - b] * ifac[b]; } T nHk(int n, int k) { if (n == 0 && k == 0) return T(1); if (n <= 0 || k < 0) return 0; return aCb(n + k - 1, k); } // nHk = (n+k-1)Ck : n is separator T pairCombination(int n) {if(n%2==1)return T(0);return fac[n]*ifac[n/2]/(T(2)^(n/2));} // combination of paris for n com.aCb(h+w-2,h-1); }; //typedef ModInt<1000000007> mint; typedef ModInt<998244353> mint; //typedef ModInt<1000000000> mint; Comb com; //vector dp(n+1,vector(n+1,vector(n+1,0))); //vector dp(n+1,vector(n+1,0)); std::random_device seed_gen; std::mt19937 engine(seed_gen()); string ye = "Yes"; string no = "No"; string draw = "Draw"; #endif // templete //--------------------------------------------------------------------------------------------------- ll dp[2][14][14][14][14][60]; ll seen[2][14][14][14][14][60]; ll tot; ll dfs(vectorv,ll now, ll turn){ if(seen[turn][v[0]][v[1]][v[2]][v[3]][now]){ return dp[turn][v[0]][v[1]][v[2]][v[3]][now]; } seen[turn][v[0]][v[1]][v[2]][v[3]][now] = 1; ll res; ll nxtturn = turn ^1; ll nowtot = 0; rep(k,0,4)nowtot += v[k]; if(turn == 0){ res = 0; rep(i,0,4)rep(j,1,4){ if(v[i] - j < 0)continue; v[i]-=j; ll nxtnow = now + j; ll jiro = tot - nowtot - now; if(v[i] == 0)nxtnow += (jiro + 1) / 2; chmax(res,dfs(v,nxtnow,nxtturn) + j); v[i]+=j; } return dp[turn][v[0]][v[1]][v[2]][v[3]][now] = res; } if(turn == 1){ res = infl; rep(i,0,4)rep(j,1,4){ if(v[i] - j < 0)continue; v[i]-=j; ll nxtnow = now; if(v[i] == 0)nxtnow = now - (now + 1) / 2; chmin(res,dfs(v,nxtnow,nxtturn)); v[i]+=j; } return dp[turn][v[0]][v[1]][v[2]][v[3]][now] = res; } } void _main() { ll n,k; cin >> n >> k; dsu d(n); vectorx(k),y(k); rep(i,0,k){ cin >> x[i] >> y[i]; x[i]--; y[i]--; d.merge(x[i],y[i]); } vectornow(n); rep(i,0,n)now[i] = i; vector> groups = d.groups(); rep(i,0,groups.size())sort(all(groups[i])); vectorcycle(groups.size(),-1); ll time = 0; while(1){ time++; rep(i,0,k)swap(now[x[i]],now[y[i]]); vector>check(groups.size()); ll idx = -1; ll before_leader = -1; rep(i,0,n){ ll l = d.leader(now[i]); if(l == before_leader)check[idx].push_back(now[i]); else{ before_leader = l; idx++; check[idx].push_back(now[i]); } } rep(i,0,groups.size()){ if(check[i] == groups[i] && cycle[i] == -1)cycle[i] = time; } bool complete_flag = true; rep(i,0,groups.size())if(cycle[i] == -1)complete_flag = false; if(complete_flag)break; } ll ans = 1; rep(i,0,groups.size())ans *= cycle[i]; cout << ans << endl; }