#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 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 long double ld; typedef pair LDP; const ld eps = 1e-12; const ld pi = acosl(-1.0); ll mod_pow(ll x, ll n, ll m = mod) { 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 = 1000; 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]; } int gcd(int a, int b) { if (a < b)swap(a, b); while (b) { int r = a % b; a = b; b = r; } return a; } struct lcagraph { private: int n; vector> G; vector> parent; vector depth; int root; int tmp; public: lcagraph(int n_) { n = n_; G.resize(n); parent.resize(n); depth.resize(n); tmp = 0; int cop = n; while (cop) { tmp++; cop /= 2; } rep(i, n)parent[i].resize(tmp); root = 0; } lcagraph() {} void init(int n_) { n = n_; G.resize(n); parent.resize(n); depth.resize(n); tmp = 0; int cop = n; while (cop) { tmp++; cop /= 2; } rep(i, n)parent[i].resize(tmp); root = 0; } void add_edge(int a, int b) { G[a].push_back(b); G[b].push_back(a); } void dfs(int id, int fr, int d) { parent[id][0] = fr; depth[id] = d; rep(j, G[id].size()) { int to = G[id][j]; if (to == fr)continue; dfs(to, id, d + 1); } } void complete(int r = 0) { root = r; dfs(root, -1, 0); rep(j, tmp - 1)rep(i, n) { if (parent[i][j] < 0)parent[i][j + 1] = -1; else parent[i][j + 1] = parent[parent[i][j]][j]; } } int lca(int u, int v) { if (depth[u] > depth[v])swap(u, v); for (int k = 0; k < tmp; k++) { if ((depth[v] - depth[u]) >> k & 1) { v = parent[v][k]; } } if (u == v)return u; for (int k = tmp - 1; k >= 0; k--) { if (parent[u][k] != parent[v][k]) { u = parent[u][k]; v = parent[v][k]; } } return parent[u][0]; } int dep(int x) { return depth[x]; } int dist(int x, int y) { int l = lca(x, y); return depth[x] + depth[y] - 2 * depth[l]; } }; struct BIT { private: vector node; int n; public: BIT(int n_) { n = n_; node.resize(n, 0); } //0-indexed void add(int a, ll w) { for (int i = a; i < n; i |= i + 1)node[i] += w; } //[0,a) ll sum(int a) { ll ret = 0; for (int i = a - 1; i >= 0; i = (i & (i + 1)) - 1)ret += node[i]; return ret; } //[a,b) ll sum(int a, int b) { return sum(b) - sum(a); } }; void solve() { int n, k; cin >> n >> k; vector> G(n); vector c(k); rep(i, k) { cin >> c[i]; c[i]--; } vector d(k); rep(i, k)cin >> d[i]; lcagraph lg(n); rep(i, n - 1) { int a, b; cin >> a >> b; a--; b--; G[a].push_back(b); G[b].push_back(a); lg.add_edge(a, b); } lg.complete(); vector le(k + 1); vector lesum(k + 1); le[1] = c[1]; lesum[1] = d[1]; for (int i = 2; i <= k; i++) { le[i] = lg.lca(le[i - 1], c[i-1]); lesum[i] = lesum[i - 1] + d[i-1]; } vector ri(k + 1); vector risum(k + 1); ri[1] = c.back(); risum[1] = d.back(); for (int i = 2; i <= k; i++) { ri[i] = lg.lca(ri[i - 1], c[k - i]); risum[i] = risum[i - 1] + d[k - i]; } vector vx; rep1(i, k)vx.push_back(lesum[i]); rep1(i, k)vx.push_back(risum[i]); sort(all(vx)); vx.erase(unique(all(vx)), vx.end()); rep1(i, k) { lesum[i] = lower_bound(all(vx), lesum[i]) - vx.begin(); risum[i] = lower_bound(all(vx), risum[i]) - vx.begin(); } vector> vs; rep1(i, k - 1) { int d = lg.dep(lg.lca(le[i], c.back())); vs.push_back({ {d,lesum[i]},0 }); d = lg.dep(lg.lca(c[0], ri[i])); vs.push_back({ {d,risum[i] }, 1}); } sort(all(vs)); auto calc = [&](ll x)->ll { ll res = 0; rep1(i, k - 1) { ll val = vx[lesum[i]] + lg.dep(le[i]); if (val <= x)res++; val = vx[risum[i]] + lg.dep(ri[i]); if (val <= x)res++; } BIT btle(vx.size()), btri(vx.size()); for (pair p : vs) { ll r = x - vx[p.first.second] - p.first.first; int id = upper_bound(all(vx), r) - vx.begin(); if (p.second) { res += btle.sum(0, id); btri.add(p.first.second, 1); } else { res += btri.sum(0, id); btle.add(p.first.second, 1); } } BIT bt(vx.size()); int ad = lg.dep(le[k]); rep1(i, k - 1) { //add k-1-i bt.add(risum[k - 1 - i], 1); ll r = x - vx[lesum[i]] - ad; int id = upper_bound(all(vx), r) - vx.begin(); res -= bt.sum(0, id); } return res; }; ll alnum = (ll)k * (k - 1) / 2; ll l = -1000000000000000; ll r = -l; while (r - l > 1) { ll mid = (l + r) / 2; ll num = calc(mid); //cout << mid << " " << num << "\n"; if (num * 2 >= alnum) { r = mid; } else { l = mid; } } cout << l << "\n"; } signed main() { ios::sync_with_stdio(false); cin.tie(0); //cout << fixed << setprecision(15); //init_f(); //init(); //expr(); //int t; cin >> t; rep(i, t) solve(); return 0; }