#pragma GCC optimize("O3") #pragma GCC optimize("unroll-loops") #include #include #include #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 = 1000000007; const ll INF = mod * mod; typedef pairP; #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-4; const ld pi = acosl(-1.0); template void chmin(T& a, T b) { a = min(a, b); } template void chmax(T& a, T b) { a = max(a, b); } template void cinarray(vector& v) { rep(i, v.size())cin >> v[i]; } template void coutarray(vector& v) { rep(i, v.size()) { if (i > 0)cout << " "; cout << v[i]; } cout << "\n"; } ll mod_pow(ll x, ll n, ll m = mod) { if (n < 0) { ll res = mod_pow(x, -n, m); return mod_pow(res, m - 2, m); } if (abs(x) >= m)x %= m; if (x < 0)x += m; if (x == 0)return 0; ll res = 1; while (n) { if (n & 1)res = res * x % m; x = x * x % m; n >>= 1; } return res; } struct modint { int n; modint() :n(0) { ; } modint(ll m) { if (m < 0 || mod <= m) { m %= mod; if (m < 0)m += mod; } n = m; } 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)); } modint operator/=(modint& a, modint b) { a = a / b; return a; } const int max_n = 1 << 20; 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]; } modint combP(int a, int b) { if (a < 0 || b < 0 || a < b)return 0; return fact[a] * factinv[a - b]; } ll gcd(ll a, ll b) { a = abs(a); b = abs(b); if (a < b)swap(a, b); while (b) { ll r = a % b; a = b; b = r; } return a; } int dx[4] = { 1,0,-1,0 }; int dy[4] = { 0,1,0,-1 }; void expr() { vector v = { 1,2,3,3,4,4,4,5 }; ll pro = 1; ll ma = 0; int sum = 0; functiondfs = [&](int dep) { if (dep == v.size()) { chmax(ma, pro); return; } ll mempro = pro; int memsum = sum; for (int c = 0;; c++) { if (sum + c * v[dep] > 19)break; sum += c * v[dep]; pro *= (c + 1); dfs(dep + 1); sum = memsum; pro = mempro; } }; dfs(0); cout << ma << "\n"; //<=144 } int xroot; vector trees; vector> chs; vector>> nexs; const int mn = 1 << 7; int dp[mn][100]; int pardp[mn][100]; vector G[mn]; vector ids[mn]; int root; void dfs(int id, int fr) { rep(i, trees.size()) { dp[id][i] = -mod; } for (int to : G[id]) { if (to == fr)continue; dfs(to, id); ids[id].push_back(to); } //idになんかおく rep(j, trees.size()) { //const int sz = chs[j].size(); int sz = nexs[j].size(); vector ndp(sz, -mod); ndp[0] = 0; vector cop(sz, -mod); for (int to : ids[id]) { rep(i, ndp.size()) { if (ndp[i] < 0)continue; chmax(cop[i], ndp[i]); rep(a, nexs[j][i].size()) { int nex = nexs[j][i][a]; int uid = chs[j][a].first; /*if (id == 4 && j == 1 && i == 0) { cout << "? " << nex << " " << uid << "\n"; cout << ndp[i] << " " << dp[to][uid] << "\n"; }*/ if (nex >= 0) { chmax(cop[nex], ndp[i] + 1 + dp[to][uid]); } } } rep(i, cop.size()) { ndp[i] = cop[i]; cop[i] = -mod; } /*if (id == 4 && j == 1) { cout << "?\n"; cout << nexs[j][0][0] << "\n"; coutarray(ndp); }*/ } chmax(dp[id][j], ndp.back()); } //idになにも置かない for (int to : ids[id]) { rep(j, trees.size()) { chmax(dp[id][j], dp[to][j] + 1); } } } int ledp[105][150000]; int ridp[105][150000]; int ans = -mod; void invdfs(int id, int fr) { vector v; for (int to : ids[id])v.push_back(to); if (fr >= 0)v.push_back(-1); int len = v.size(); // //calcurate id's ans vector ndp(nexs[xroot].size(), -mod); vector cop = ndp; ndp[0] = 0; for (int to : ids[id]) { rep(i, ndp.size()) { chmax(cop[i], ndp[i]); rep(a, nexs[xroot][i].size()) { int nex = nexs[xroot][i][a]; int uid = chs[xroot][a].first; if (nex >= 0) { chmax(cop[nex], ndp[i] + 1 + dp[to][uid]); } } } rep(i, ndp.size()) { ndp[i] = cop[i]; cop[i] = -mod; } } if (fr >= 0) { rep(i, ndp.size()) { chmax(cop[i], ndp[i]); rep(a, nexs[xroot][i].size()) { int nex = nexs[xroot][i][a]; int uid = chs[xroot][a].first; if (nex >= 0) { chmax(cop[nex], ndp[i] + 1 + pardp[id][uid]); } } } rep(i, ndp.size()) { ndp[i] = cop[i]; cop[i] = -mod; } } /*if (ndp.back() >= 0) { cout << "?? " << id << "\n"; }*/ chmax(ans, ndp.back()); //cout << "?? " << id << " " << ndp.back() << "\n"; //rep(j, trees.size())cout << dp[id][j] << " "; cout << "\n"; //rep(j, trees.size())cout << pardp[id][j] << " "; cout << "\n"; for (int to : ids[id]) { rep(j, trees.size()) { pardp[to][j] = -mod; } } // rep(j, trees.size()) { rep(b, len + 1) { rep(i, nexs[j].size()) { ledp[b][i] = ridp[b][i] = -mod; } } ledp[0][0] = 0; rep(b, len) { rep(i, nexs[j].size()) { chmax(ledp[b + 1][i], ledp[b][i]); rep(a, nexs[j][i].size()) { int nex = nexs[j][i][a]; int uid = chs[j][a].first; if (nex >= 0) { int val = ledp[b][i] + 1; if (v[b] >= 0)val += dp[v[b]][uid]; else val += pardp[id][uid]; chmax(ledp[b + 1][nex], val); } } } } ridp[len][0] = 0; per(b, len) { rep(i, nexs[j].size()) { chmax(ridp[b][i], ridp[b + 1][i]); rep(a, nexs[j][i].size()) { int nex = nexs[j][i][a]; int uid = chs[j][a].first; if (nex >= 0) { int val = ridp[b+1][i] + 1; if (v[b] >= 0)val += dp[v[b]][uid]; else val += pardp[id][uid]; chmax(ridp[b][nex], val); } } } } vector sle(len+1,-mod), sri(len + 1,-mod); //sle[0] = 0; rep(b, len) { int val = 1; if (v[b] >= 0)val += dp[v[b]][j]; else val += pardp[id][j]; sle[b + 1] = max(sle[b], val); } //sri[len] = 0; per(b, len) { int val = 1; if (v[b] >= 0)val += dp[v[b]][j]; else val += pardp[id][j]; sri[b] = max(sri[b+1], val); } rep(b, ids[id].size()) { int to = ids[id][b]; chmax(pardp[to][j], sle[b]); chmax(pardp[to][j], sri[b + 1]); rep(i, nexs[j].size()) { int val = ledp[b][i] + ridp[b + 1][nexs[j].size() - 1 - i]; chmax(pardp[to][j], val); } } } rep(i, ids[id].size()) { int to = ids[id][i]; // //update for return // invdfs(to, id); } } void yaru() { dfs(root, -1); invdfs(root, -1); } void solve() { int k; cin >> k; vector> g(k); rep(i, k - 1) { int a, b; cin >> a >> b; a--; b--; g[a].push_back(b); g[b].push_back(a); } vector memstr(k); vector park(k); function dfsstr = [&](int id, int fr) { vector tos; for(int to : g[id])if (to != fr) { string nex = dfsstr(to, id); tos.push_back(nex); } sort(all(tos)); string ans = "("; for (auto s : tos)ans += s; ans.push_back(')'); memstr[id] = ans; park[id] = fr; return ans; }; dfsstr(0, -1); trees = memstr; sort(all(trees)); trees.erase(unique(all(trees)), trees.end()); vector> nex(trees.size()); rep(i, trees.size()) { int chk = -1; rep(j, memstr.size())if (memstr[j] == trees[i]) { chk = j; } assert(chk >= 0); for (int to : g[chk]) { if (to == park[chk])continue; int loc = lower_bound(all(trees), memstr[to]) - trees.begin(); nex[i].push_back(loc); } } /*rep1(i, k - 1) { int p = park[i]; p = lower_bound(all(trees), memstr[p]) - trees.begin(); int cur = lower_bound(all(trees), memstr[i]) - trees.begin(); nex[p].push_back(cur); }*/ chs.resize(trees.size()); nexs.resize(trees.size()); rep(i, trees.size()) { sort(all(nex[i])); vector szs; rep(j, nex[i].size()) { int cnt = 1; while (j + 1 < nex[i].size() && nex[i][j] == nex[i][j + 1]) { cnt++; j++; } szs.push_back(cnt+1); chs[i].push_back({ nex[i][j],cnt }); } vector p(szs.size() + 1); p[0] = 1; rep(j, szs.size()) { p[j + 1] = p[j] * szs[j]; } assert(p.back()<=1000000); nexs[i].resize(p[szs.size()]); rep(j, nexs[i].size()) { vector cur(szs.size()); int cop = j; per(k, szs.size()) { cur[k] = cop / p[k]; cop %= p[k]; } rep(k, szs.size()) { if (cur[k] + 1 == szs[k]) { nexs[i][j].push_back(-1); } else { nexs[i][j].push_back(j + p[k]); } } } } int n; cin >> n; rep(i, n - 1) { int a, b; cin >> a >> b; a--; b--; G[a].push_back(b); G[b].push_back(a); } xroot = lower_bound(all(trees), memstr[0]) - trees.begin(); yaru(); if (ans < 0)ans = -1; cout << ans << "\n"; //for (auto s : trees)cout << s << "\n"; /*rep(i, nexs[1].size()) { coutarray(nexs[1][i]); }*/ /*for (P p : chs[1]) { cout << p.first << " " << p.second << "\n"; }*/ //cout << dp[4][1] << " " << dp[5][1] << "\n"; //cout << dp[4][1] << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(8); //init_f(); //init(); //while(true) //expr(); //init(); //int t; cin >> t; rep(i, t) solve(); return 0; }