This documentation is automatically generated by online-judge-tools/verification-helper
#include "graph/tree/offline-lca.hpp"
#include "../../structure/union-find/union-find.hpp"
#include "../graph-template.hpp"
/**
* @brief Offline LCA(オフライン最小共通祖先)
**/
template <typename T>
vector<int> offline_lca(const Graph<T> &g, vector<pair<int, int> > &qs,
int root = 0) {
int n = (int)g.size();
UnionFind uf(n);
vector<int> st(n), mark(n), ptr(n), ans(qs.size(), -1);
int top = 0;
st[top] = root;
for (auto &[l, r] : qs) mark[l]++, mark[r]++;
vector<vector<pair<int, int> > > q(n);
for (int i = 0; i < n; i++) {
q[i].reserve(mark[i]);
mark[i] = -1;
ptr[i] = (int)g[i].size();
}
for (int i = 0; i < qs.size(); i++) {
q[qs[i].first].emplace_back(qs[i].second, i);
q[qs[i].second].emplace_back(qs[i].first, i);
}
auto run = [&](int u) -> bool {
while (ptr[u]) {
int v = g[u][--ptr[u]];
if (mark[v] == -1) {
st[++top] = v;
return true;
}
}
return false;
};
while (~top) {
int u = st[top];
if (mark[u] == -1) {
mark[u] = u;
} else {
uf.unite(u, g[u][ptr[u]]);
mark[uf.find(u)] = u;
}
if (not run(u)) {
for (auto &[v, i] : q[u]) {
if (~mark[v] and ans[i] == -1) {
ans[i] = mark[uf.find(v)];
}
}
--top;
}
}
return ans;
}
#line 2 "structure/union-find/union-find.hpp"
struct UnionFind {
vector<int> data;
UnionFind() = default;
explicit UnionFind(size_t sz) : data(sz, -1) {}
bool unite(int x, int y) {
x = find(x), y = find(y);
if (x == y) return false;
if (data[x] > data[y]) swap(x, y);
data[x] += data[y];
data[y] = x;
return true;
}
int find(int k) {
if (data[k] < 0) return (k);
return data[k] = find(data[k]);
}
int size(int k) { return -data[find(k)]; }
bool same(int x, int y) { return find(x) == find(y); }
vector<vector<int> > groups() {
int n = (int)data.size();
vector<vector<int> > ret(n);
for (int i = 0; i < n; i++) {
ret[find(i)].emplace_back(i);
}
ret.erase(remove_if(begin(ret), end(ret),
[&](const vector<int> &v) { return v.empty(); }),
end(ret));
return ret;
}
};
#line 2 "graph/graph-template.hpp"
/**
* @brief Graph Template(グラフテンプレート)
*/
template <typename T = int>
struct Edge {
int from, to;
T cost;
int idx;
Edge() = default;
Edge(int from, int to, T cost = 1, int idx = -1)
: from(from), to(to), cost(cost), idx(idx) {}
operator int() const { return to; }
};
template <typename T = int>
struct Graph {
vector<vector<Edge<T> > > g;
int es;
Graph() = default;
explicit Graph(int n) : g(n), es(0) {}
size_t size() const { return g.size(); }
void add_directed_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es++);
}
void add_edge(int from, int to, T cost = 1) {
g[from].emplace_back(from, to, cost, es);
g[to].emplace_back(to, from, cost, es++);
}
void read(int M, int padding = -1, bool weighted = false,
bool directed = false) {
for (int i = 0; i < M; i++) {
int a, b;
cin >> a >> b;
a += padding;
b += padding;
T c = T(1);
if (weighted) cin >> c;
if (directed)
add_directed_edge(a, b, c);
else
add_edge(a, b, c);
}
}
inline vector<Edge<T> > &operator[](const int &k) { return g[k]; }
inline const vector<Edge<T> > &operator[](const int &k) const { return g[k]; }
};
template <typename T = int>
using Edges = vector<Edge<T> >;
#line 3 "graph/tree/offline-lca.hpp"
/**
* @brief Offline LCA(オフライン最小共通祖先)
**/
template <typename T>
vector<int> offline_lca(const Graph<T> &g, vector<pair<int, int> > &qs,
int root = 0) {
int n = (int)g.size();
UnionFind uf(n);
vector<int> st(n), mark(n), ptr(n), ans(qs.size(), -1);
int top = 0;
st[top] = root;
for (auto &[l, r] : qs) mark[l]++, mark[r]++;
vector<vector<pair<int, int> > > q(n);
for (int i = 0; i < n; i++) {
q[i].reserve(mark[i]);
mark[i] = -1;
ptr[i] = (int)g[i].size();
}
for (int i = 0; i < qs.size(); i++) {
q[qs[i].first].emplace_back(qs[i].second, i);
q[qs[i].second].emplace_back(qs[i].first, i);
}
auto run = [&](int u) -> bool {
while (ptr[u]) {
int v = g[u][--ptr[u]];
if (mark[v] == -1) {
st[++top] = v;
return true;
}
}
return false;
};
while (~top) {
int u = st[top];
if (mark[u] == -1) {
mark[u] = u;
} else {
uf.unite(u, g[u][ptr[u]]);
mark[uf.find(u)] = u;
}
if (not run(u)) {
for (auto &[v, i] : q[u]) {
if (~mark[v] and ans[i] == -1) {
ans[i] = mark[uf.find(v)];
}
}
--top;
}
}
return ans;
}