#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; //#define int long long typedef long long ll; typedef unsigned long long ul; typedef unsigned int ui; constexpr ll mod = 998244353; const ll INF = mod * mod/300; typedef pairP; #define stop char nyaa;cin>>nyaa; #define rep(i,n) for(int i=0;i=0;i--) #define Rep(i,sta,n) for(int i=sta;i=1;i--) #define Rep1(i,sta,n) for(int i=sta;i<=n;i++) #define all(v) (v).begin(),(v).end() typedef pair LP; typedef double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acos(-1.0); ll mod_pow(ll x, ll n, ll m) { ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { ll n; modint() :n(0) { ; } modint(ll m) :n(m) { if (n >= mod)n %= mod; else if (n < 0)n = (n % mod + mod) % mod; } operator int() { return n; } }; bool operator==(modint a, modint b) { return a.n == b.n; } modint operator+=(modint& a, modint b) { a.n += b.n; if (a.n >= mod)a.n -= mod; return a; } modint operator-=(modint& a, modint b) { a.n -= b.n; if (a.n < 0)a.n += mod; return a; } modint operator*=(modint& a, modint b) { a.n = ((ll)a.n * b.n) % mod; return a; } modint operator+(modint a, modint b) { return a += b; } modint operator-(modint a, modint b) { return a -= b; } modint operator*(modint a, modint b) { return a *= b; } modint operator^(modint a, ll n) { if (n == 0)return modint(1); modint res = (a * a) ^ (n / 2); if (n % 2)res = res * a; return res; } ll inv(ll a, ll p) { return (a == 1 ? 1 : (1 - p * inv(p % a, a)) / a + p); } modint operator/(modint a, modint b) { return a * modint(inv(b, mod)); } const int max_n = 1 << 22; modint fact[max_n], factinv[max_n]; void init_f() { fact[0] = modint(1); for (int i = 0; i < max_n - 1; i++) { fact[i + 1] = fact[i] * modint(i + 1); } factinv[max_n - 1] = modint(1) / fact[max_n - 1]; for (int i = max_n - 2; i >= 0; i--) { factinv[i] = factinv[i + 1] * modint(i + 1); } } modint comb(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[b] * factinv[a - b]; } ll gcd(ll a, ll b) { if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } struct uf { private: vector par, ran; public: uf(int n) { par.resize(n, 0); ran.resize(n, 0); rep(i, n) { par[i] = i; } } int find(int x) { if (par[x] == x)return x; else return par[x] = find(par[x]); } void unite(int x, int y) { x = find(x), y = find(y); if (x == y)return; if (ran[x] < ran[y]) { par[x] = y; } else { par[y] = x; if (ran[x] == ran[y])ran[x]++; } } bool same(int x, int y) { return find(x) == find(y); } }; void debug(vector v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } vector ch[1 << 10]; void init() { rep(i, (1 << 10)) { vector v; rep(j, 10)if (i & (1 << j)) { v.push_back(j); } int len = v.size(); rep(j, (1 << len)){ int s = 0; rep(k, len) { if (j & (1 << k)) { s |= (1 << v[k]); } } ch[i].push_back(s); } } } void solve() { init(); debug(ch[3]); vectormemo(12); memo[1] = 1; cout << memo[1] << "\n"; map, ll> dp; dp[{1}] = 1; for (int n = 2; n <= 11; n++) { map, ll> nex; for (pair, ll> p : dp) { vector v = p.first; ll val = p.second; if (v.empty())continue; //assert(v.size()); //cout << "hello\n"; debug(v); vector exi(n - 1); for (int s : v)rep(j, n - 1)if (s & (1 << j))exi[j] = true; vector rs; rep(j, n - 1)if (!exi[j])rs.push_back(j); int len = rs.size(); vector cur; function dfs = [&](int id) { if (id == v.size()) { rep(j,1< cop = cur; rep(k, len) { if (j & (1 << k))cop.push_back(1 << rs[k]); } sort(all(cop)); nex[cop] += val; if (cop.size() == 1)memo[n] += val; } /*cout << "from\n"; debug(v); cout << "to\n"; debug(cop);*/ return; } int s = v[id]; for (int c : ch[s])if (c > 0) { cur.push_back(c); dfs(id + 1); cur.pop_back(); } }; dfs(0); } rep(i, (1 << n - 1)) { vector v; rep(j, n - 1)if (i & (1 << j))v.push_back(1<, ll> p : nex) { /*cout << "start\n"; debug(p.first); cout << p.second << "\n"; ll rec = memo[n];*/ vector v = p.first; ll val = p.second; uf u(2 * n - 1); vector exi(n - 1, false); for (int s : v) { int pre = -1; rep(j, n - 1) { if (s & (1 << j)) { if (pre >= 0) { u.unite(pre + n, j + n); } pre = j; exi[j] = true; } } } rep(i, (1 << n)) { uf z = u; rep(j, n)if (i & (1 << j)) { if (j - 1 >= 0) { if(exi[j-1])z.unite(j - 1 + n, j); } if (j < n - 1) { if(exi[j])z.unite(j + n, j); } } vector mem(2 * n - 1); rep(j, n)if (i & (1 << j)) { mem[z.find(j)] |= (1 << j); } bool valid = true; for (int s : v) { rep(j, n - 1)if (s & (1 << j)) { int p = z.find(n + j); if (mem[p] == 0)valid = false; break; } } if (valid) { vector to; for (int me : mem) { if (me > 0)to.push_back(me); } sort(all(to)); if (n == 4) { cout << "from\n"; debug(v); debug(to); } dp[to] += val; if(to.size()==1)memo[n] += val; } } //cout << memo[n] - rec << "\n"; } cout << dp.size() << " " << nex.size() << "\n"; /*for (pair, ll> p : nex) { cout << "start\n"; debug(p.first); cout << p.second << "\n"; } for (pair, ll> p : dp) { cout << "start2\n"; debug(p.first); cout << p.second << "\n"; }*/ cout << memo[n] << "\n"; } } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(10); //init_f(); //expr(); //int t; cin >> t; rep(i, t) //while (cin >> n >> m>>s1>>s2>>t, n) solve(); return 0; }