This documentation is automatically generated by online-judge-tools/verification-helper
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/maximum_independent_set
#include "../../template/template.hpp"
#include "../../graph/others/maximum-clique.hpp"
int main() {
int V, E;
cin >> V >> E;
auto D = make_v< int >(V, V);
for(int i = 0; i < E; i++) {
int a, b;
cin >> a >> b;
D[a][b] = D[b][a] = true;
}
MaximumClique< 40 > mc(V);
for(int i = 0; i < V; i++) {
for(int j = 0; j < i; j++) {
if(!D[i][j]) mc.add_edge(i, j);
}
}
auto ret = mc.solve();
cout << ret.size() << "\n";
cout << ret << "\n";
}
#line 1 "test/verify/yosupo-maximum-independent-set-2.test.cpp"
// competitive-verifier: PROBLEM https://judge.yosupo.jp/problem/maximum_independent_set
#line 1 "template/template.hpp"
#include <bits/stdc++.h>
using namespace std;
using int64 = long long;
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-maximum-independent-set-2.test.cpp"
#line 2 "graph/others/maximum-clique.hpp"
/**
* @brief Maximum Clique(最大クリーク)
*/
template <int V>
struct MaximumClique {
using B = bitset<V>;
vector<B> g, col_buf;
struct P {
int idx, col, deg;
P(int idx, int col, int deg) : idx(idx), col(col), deg(deg) {}
};
MaximumClique() = default;
explicit MaximumClique(int N) : g(N), col_buf(N) {}
void add_edge(int a, int b) {
g[a].set(b);
g[b].set(a);
}
vector<int> now, clique;
void dfs(vector<P> &rem) {
if (clique.size() < now.size()) clique = now;
sort(begin(rem), end(rem),
[](const P &a, const P &b) { return a.deg > b.deg; });
int max_c = 1;
for (auto &p : rem) {
p.col = 0;
while ((g[p.idx] & col_buf[p.col]).any()) ++p.col;
max_c = max(max_c, p.idx + 1);
col_buf[p.col].set(p.idx);
}
for (int i = 0; i < max_c; i++) col_buf[i].reset();
sort(begin(rem), end(rem),
[&](const P &a, const P &b) { return a.col < b.col; });
for (; !rem.empty(); rem.pop_back()) {
auto &p = rem.back();
if (now.size() + p.col + 1 <= clique.size()) break;
vector<P> nrem;
B bs;
for (auto &q : rem) {
if (g[p.idx][q.idx]) {
nrem.emplace_back(q.idx, -1, 0);
bs.set(q.idx);
}
}
for (auto &q : nrem) {
q.deg = (bs & g[q.idx]).count();
}
now.emplace_back(p.idx);
dfs(nrem);
now.pop_back();
}
}
vector<int> solve() {
vector<P> remark;
for (size_t i = 0; i < g.size(); i++) {
remark.emplace_back(i, -1, (int)g[i].size());
}
dfs(remark);
return clique;
}
};
#line 6 "test/verify/yosupo-maximum-independent-set-2.test.cpp"
int main() {
int V, E;
cin >> V >> E;
auto D = make_v< int >(V, V);
for(int i = 0; i < E; i++) {
int a, b;
cin >> a >> b;
D[a][b] = D[b][a] = true;
}
MaximumClique< 40 > mc(V);
for(int i = 0; i < V; i++) {
for(int j = 0; j < i; j++) {
if(!D[i][j]) mc.add_edge(i, j);
}
}
auto ret = mc.solve();
cout << ret.size() << "\n";
cout << ret << "\n";
}
Env | Name | Status | Elapsed | Memory |
---|---|---|---|---|
g++ | example_00 | AC | 6 ms | 4 MB |
g++ | example_01 | AC | 6 ms | 4 MB |
g++ | hack0_00 | AC | 6 ms | 4 MB |
g++ | handmade_00 | AC | 6 ms | 4 MB |
g++ | many_maximals_00 | AC | 6 ms | 4 MB |
g++ | max_random_00 | AC | 6 ms | 4 MB |
g++ | max_random_01 | AC | 6 ms | 4 MB |
g++ | max_random_02 | AC | 6 ms | 4 MB |
g++ | max_random_03 | AC | 6 ms | 4 MB |
g++ | max_random_04 | AC | 6 ms | 4 MB |
g++ | one_two_00 | AC | 6 ms | 4 MB |
g++ | random_00 | AC | 6 ms | 4 MB |
g++ | random_01 | AC | 6 ms | 4 MB |
g++ | random_02 | AC | 6 ms | 4 MB |
g++ | random_03 | AC | 6 ms | 4 MB |
g++ | random_04 | AC | 6 ms | 4 MB |
clang++ | example_00 | AC | 6 ms | 4 MB |
clang++ | example_01 | AC | 6 ms | 4 MB |
clang++ | hack0_00 | AC | 6 ms | 4 MB |
clang++ | handmade_00 | AC | 6 ms | 4 MB |
clang++ | many_maximals_00 | AC | 6 ms | 4 MB |
clang++ | max_random_00 | AC | 6 ms | 4 MB |
clang++ | max_random_01 | AC | 6 ms | 4 MB |
clang++ | max_random_02 | AC | 6 ms | 4 MB |
clang++ | max_random_03 | AC | 6 ms | 4 MB |
clang++ | max_random_04 | AC | 7 ms | 4 MB |
clang++ | one_two_00 | AC | 6 ms | 4 MB |
clang++ | random_00 | AC | 6 ms | 4 MB |
clang++ | random_01 | AC | 6 ms | 4 MB |
clang++ | random_02 | AC | 6 ms | 4 MB |
clang++ | random_03 | AC | 6 ms | 4 MB |
clang++ | random_04 | AC | 6 ms | 4 MB |