이 제출은 이전 버전의 oj.uz에서 채점하였습니다. 현재는 제출 당시와는 다른 서버에서 채점을 하기 때문에, 다시 제출하면 결과가 달라질 수도 있습니다.
/**
* author: hashman
* created:
**/
#include <bits/stdc++.h>
using namespace std;
string to_string(string s) {
return '"' + s + '"';
}
string to_string(const char* s) {
return to_string((string) s);
}
string to_string(bool b) {
return (b ? "true" : "false");
}
template <typename A, typename B>
string to_string(pair<A, B> p) {
return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}
template <typename A>
string to_string(A v) {
bool first = true;
string res = "{";
for (const auto &x : v) {
if (!first) {
res += ", ";
}
first = false;
res += to_string(x);
}
res += "}";
return res;
}
void debug_out() {
cerr << endl;
}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
cerr << " " << to_string(H);
debug_out(T...);
}
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
using Int = long long;
#define int Int
struct node {
node *l, *r;
int len;
Int sum;
node(int y, Int x) : l(nullptr), r(nullptr), len(y), sum(x) {}
node(node *ll, node *rr) : l(ll), r(rr), len(0), sum(Int(0)) {
if (ll) {
len += ll->len;
sum += ll->sum;
}
if (rr) {
len += rr->len;
sum += rr->sum;
}
}
node(node *copy) : l(copy->l), r(copy->r), sum(copy->sum) {}
};
int32_t main() {
ios::sync_with_stdio(false);
cin.tie(0);
int n, m, q;
cin >> n >> m >> q;
vector<vector<int>> g(n);
vector<pair<int, int>> ed(n - 1);
for (int i = 0; i < n - 1; i++) {
int a, b;
cin >> a >> b;
--a; --b;
g[a].push_back(b);
g[b].push_back(a);
ed[i] = make_pair(a, b);
}
vector<int> d(n);
vector<vector<int>> up(n, vector<int>(18));
auto dfs = [&](auto&& self, int v, int pr) -> void {
up[v][0] = pr;
for (int u : g[v]) {
if (u != pr) {
d[u] = d[v] + 1;
self(self, u, v);
}
}
};
dfs(dfs, 0, -1);
for (int j = 1; j < 18; j++) {
for (int i = 0; i < n; i++) {
up[i][j] = (up[i][j - 1] == -1 ? -1 : up[up[i][j - 1]][j - 1]);
}
}
auto kth = [&](int v, int k) {
for (int b = 17; b >= 0; b--) {
if (k & (1 << b)) {
v = up[v][b];
if (v == -1) {
return v;
}
}
}
return v;
};
auto lca = [&](int u, int v) {
if (d[u] < d[v]) {
swap(u, v);
}
u = kth(u, d[u] - d[v]);
for (int b = 17; b >= 0; b--) {
if (up[u][b] != up[v][b] && up[u][b] != -1 && up[v][b] != -1) {
u = up[u][b];
v = up[v][b];
}
}
return (u == v) ? v : up[v][0];
};
vector<vector<int>> at(n);
vector<int> cp(m);
vector<int> till(n);
for (int i = 0; i < m; i++) {
int p, c;
cin >> p >> c;
--p;
if (d[ed[p].first] > d[ed[p].second]) {
swap(ed[p].first, ed[p].second);
}
at[ed[p].second].push_back(c);
cp[i] = c;
}
sort(cp.begin(), cp.end());
map<int, int> compress, inv;
int cnt = 0;
for (int i = 0; i < m; i++) {
compress[cp[i]] = -1;
}
for (int i = 0; i < m; i++) {
if (compress[cp[i]] == -1) {
compress[cp[i]] = cnt++;
inv[compress[cp[i]]] = cp[i];
}
}
vector<node*> roots(max(n, m));
auto build = [&](auto&& self, int l, int r) {
if (r - l == 1) {
return new node(0, Int(0));
}
int m = (l + r) / 2;
return new node(self(self, l, m), self(self, m, r));
};
auto modify = [&](auto&& self, node *nd, int orig, int i, int l, int r) {
if (r - l == 1) {
return new node(nd->len + 1, nd->sum + orig);
}
int m = (l + r) / 2;
if (i < m) {
return new node(self(self, nd->l, orig, i, l, m), nd->r);
} else {
return new node(nd->l, self(self, nd->r, orig, i, m, r));
}
};
auto apply = [&](auto&& self, int v, int pr) -> void {
if (pr != -1) {
roots[v] = roots[pr];
for (int change : at[v]) {
roots[v] = modify(modify, roots[v], change, compress[change], 0, max(n, m));
}
}
for (int u : g[v]) {
if (u != pr) {
till[u] = till[v] + (int) at[u].size();
self(self, u, v);
}
}
};
roots[0] = build(build, 0, max(n, m));
apply(apply, 0, -1);
auto find = [&](auto&& self, node *a, node *b, node *c, Int k, int l, int r) {
if (r - l == 1) {
if (inv[l] == 0) {
return Int(0);
}
return min(a->len + b->len - (2 * c->len), k / inv[l]);
}
int m = (l + r) / 2;
Int lft = (a->l->sum) + (b->l->sum) - (2 * (c->l->sum));
if (lft >= k) {
return self(self, a->l, b->l, c->l, k, l, m);
} else {
return a->l->len + b->l->len - (2 * (c->l->len)) + self(self, a->r, b->r, c->r, k - lft, m, r);
}
};
auto num = [&](int u, int v) {
return till[u] + till[v] - (2 * till[lca(u, v)]);
};
for (int i = 0; i < q; i++) {
int s, t, x;
cin >> s >> t >> x;
--s; --t;
Int y;
cin >> y;
int anc = lca(s, t), res = find(find, roots[s], roots[t], roots[anc], y, 0, max(n, m));
if (num(s, t) - res > x) {
cout << -1 << '\n';
} else {
cout << x + res - num(s, t) << '\n';
}
}
}
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