This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/dominatortree
#include "../../template/template.hpp"
#include "../../graph/others/dominator-tree.hpp"
int main() {
int N, M, S;
cin >> N >> M >> S;
DominatorTree<> g(N);
g.read(M, 0, false, true);
g.build(S);
for(int i = 0; i < N; i++) cout << g[i] << " ";
cout << endl;
}
#line 1 "test/verify/yosupo-dominatortree.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/dominatortree
#line 1 "template/template.hpp"
#include<bits/stdc++.h>
using namespace std;
using int64 = long long;
const int mod = 1e9 + 7;
const int64 infll = (1LL << 62) - 1;
const int inf = (1 << 30) - 1;
struct IoSetup {
IoSetup() {
cin.tie(nullptr);
ios::sync_with_stdio(false);
cout << fixed << setprecision(10);
cerr << fixed << setprecision(10);
}
} iosetup;
template< typename T1, typename T2 >
ostream &operator<<(ostream &os, const pair< T1, T2 >& p) {
os << p.first << " " << p.second;
return os;
}
template< typename T1, typename T2 >
istream &operator>>(istream &is, pair< T1, T2 > &p) {
is >> p.first >> p.second;
return is;
}
template< typename T >
ostream &operator<<(ostream &os, const vector< T > &v) {
for(int i = 0; i < (int) v.size(); i++) {
os << v[i] << (i + 1 != v.size() ? " " : "");
}
return os;
}
template< typename T >
istream &operator>>(istream &is, vector< T > &v) {
for(T &in : v) is >> in;
return is;
}
template< typename T1, typename T2 >
inline bool chmax(T1 &a, T2 b) { return a < b && (a = b, true); }
template< typename T1, typename T2 >
inline bool chmin(T1 &a, T2 b) { return a > b && (a = b, true); }
template< typename T = int64 >
vector< T > make_v(size_t a) {
return vector< T >(a);
}
template< typename T, typename... Ts >
auto make_v(size_t a, Ts... ts) {
return vector< decltype(make_v< T >(ts...)) >(a, make_v< T >(ts...));
}
template< typename T, typename V >
typename enable_if< is_class< T >::value == 0 >::type fill_v(T &t, const V &v) {
t = v;
}
template< typename T, typename V >
typename enable_if< is_class< T >::value != 0 >::type fill_v(T &t, const V &v) {
for(auto &e : t) fill_v(e, v);
}
template< typename F >
struct FixPoint : F {
explicit FixPoint(F &&f) : F(forward< F >(f)) {}
template< typename... Args >
decltype(auto) operator()(Args &&... args) const {
return F::operator()(*this, forward< Args >(args)...);
}
};
template< typename F >
inline decltype(auto) MFP(F &&f) {
return FixPoint< F >{forward< F >(f)};
}
#line 4 "test/verify/yosupo-dominatortree.test.cpp"
#line 2 "graph/others/dominator-tree.hpp"
#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 4 "graph/others/dominator-tree.hpp"
/**
* @brief Dominator Tree
*
* @see http://sigma425.hatenablog.com/entry/2015/12/25/224053
*/
template< typename T = int >
struct DominatorTree : Graph< T > {
public:
using Graph< T >::Graph;
using Graph< T >::g;
void build(int root) {
rg = Graph< T >(g.size());
par.assign(g.size(), 0);
idom.assign(g.size(), -1);
semi.assign(g.size(), -1);
ord.reserve(g.size());
UnionFind uf(semi);
const int N = (int) g.size();
dfs(root);
for(int i = 0; i < N; i++) {
for(auto &to : g[i]) {
if(~semi[i]) rg.add_directed_edge(to, i);
}
}
vector< vector< int > > bucket(N);
vector< int > U(N);
for(int i = (int) ord.size() - 1; i >= 0; i--) {
int x = ord[i];
for(int v : rg[x]) {
v = uf.eval(v);
if(semi[x] > semi[v]) semi[x] = semi[v];
}
bucket[ord[semi[x]]].emplace_back(x);
for(int v : bucket[par[x]]) U[v] = uf.eval(v);
bucket[par[x]].clear();
uf.link(par[x], x);
}
for(int i = 1; i < (int)ord.size(); i++) {
int x = ord[i], u = U[x];
idom[x] = semi[x] == semi[u] ? semi[x] : idom[u];
}
for(int i = 1; i < (int)ord.size(); i++) {
int x = ord[i];
idom[x] = ord[idom[x]];
}
idom[root] = root;
}
int operator[](const int &k) const {
return idom[k];
}
private:
Graph< T > rg;
struct UnionFind {
const vector< int > ;
vector< int > par, m;
explicit UnionFind(const vector< int > &semi) : semi(semi), par(semi.size()), m(semi.size()) {
iota(begin(par), end(par), 0);
iota(begin(m), end(m), 0);
}
int find(int v) {
if(par[v] == v) return v;
int r = find(par[v]);
if(semi[m[v]] > semi[m[par[v]]]) m[v] = m[par[v]];
return par[v] = r;
}
int eval(int v) {
find(v);
return m[v];
}
void link(int p, int c) {
par[c] = p;
}
};
vector< int > ord, par;
vector< int > idom, semi;
void dfs(int idx) {
semi[idx] = (int) ord.size();
ord.emplace_back(idx);
for(auto &to : g[idx]) {
if(~semi[to]) continue;
dfs(to);
par[to] = idx;
}
}
};
#line 6 "test/verify/yosupo-dominatortree.test.cpp"
int main() {
int N, M, S;
cin >> N >> M >> S;
DominatorTree<> g(N);
g.read(M, 0, false, true);
g.build(S);
for(int i = 0; i < N; i++) cout << g[i] << " ";
cout << endl;
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | example_00 | AC | 6 ms | 4 MB |
g++ | example_01 | AC | 6 ms | 4 MB |
g++ | gen_tree_00 | AC | 92 ms | 24 MB |
g++ | gen_tree_01 | AC | 87 ms | 24 MB |
g++ | gen_tree_02 | AC | 85 ms | 24 MB |
g++ | gen_tree_2_00 | AC | 102 ms | 26 MB |
g++ | gen_tree_2_01 | AC | 95 ms | 26 MB |
g++ | gen_tree_2_02 | AC | 92 ms | 26 MB |
g++ | random_00 | AC | 20 ms | 16 MB |
g++ | random_01 | AC | 45 ms | 21 MB |
g++ | random_02 | AC | 16 ms | 9 MB |
g++ | random_03 | AC | 24 ms | 20 MB |
g++ | random_04 | AC | 8 ms | 5 MB |
clang++ | example_00 | AC | 6 ms | 4 MB |
clang++ | example_01 | AC | 6 ms | 4 MB |
clang++ | gen_tree_00 | AC | 85 ms | 24 MB |
clang++ | gen_tree_01 | AC | 81 ms | 24 MB |
clang++ | gen_tree_02 | AC | 85 ms | 24 MB |
clang++ | gen_tree_2_00 | AC | 96 ms | 28 MB |
clang++ | gen_tree_2_01 | AC | 99 ms | 28 MB |
clang++ | gen_tree_2_02 | AC | 101 ms | 28 MB |
clang++ | random_00 | AC | 22 ms | 16 MB |
clang++ | random_01 | AC | 47 ms | 21 MB |
clang++ | random_02 | AC | 16 ms | 9 MB |
clang++ | random_03 | AC | 23 ms | 20 MB |
clang++ | random_04 | AC | 8 ms | 5 MB |