結果

問題 No.2236 Lights Out On Simple Graph
ユーザー 👑 AngrySadEight
提出日時 2023-03-03 23:25:34
言語 C++17(gcc12)
(gcc 12.3.0 + boost 1.87.0)
結果
AC  
実行時間 2,073 ms / 4,000 ms
コード長 6,048 bytes
コンパイル時間 26,607 ms
コンパイル使用メモリ 361,020 KB
最終ジャッジ日時 2025-02-11 04:42:42
ジャッジサーバーID
(参考情報)
judge3 / judge4
このコードへのチャレンジ
(要ログイン)
ファイルパターン 結果
sample AC * 3
other AC * 57
権限があれば一括ダウンロードができます

ソースコード

diff #
プレゼンテーションモードにする

#pragma GCC target("avx2")
#pragma GCC optimize("O3")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
typedef long long ll;
#define rep(i, n) for (int i = 0; i < (int)(n); i++)
#define repr(i, n) for (int i = (int)(n) - 1; i >= 0; i--)
#define repk(i, k, n) for (int i = k; i < (int)(n); i++)
#define all(v) v.begin(), v.end()
#define mod1 1000000007
#define mod2 998244353
#define mod3 100000007
#define vi vector<int>
#define vs vector<string>
#define vc vector<char>
#define vl vector<ll>
#define vb vector<bool>
#define vvi vector<vector<int>>
#define vvc vector<vector<char>>
#define vvl vector<vector<ll>>
#define vvb vector<vector<bool>>
#define vvvi vector<vector<vector<int>>>
#define vvvl vector<vector<vector<ll>>>
#define pii pair<int,int>
#define pil pair<int,ll>
#define pli pair<ll, int>
#define pll pair<ll, ll>
#define vpii vector<pair<int,int>>
#define vpll vector<pair<ll,ll>>
#define vvpii vector<vector<pair<int,int>>>
#define vvpll vector<vector<pair<ll,ll>>>
template<typename T> void debug(T e){
cerr << e << endl;
}
template<typename T> void debug(vector<T> &v){
rep(i, v.size()){
cerr << v[i] << " ";
}
cerr << endl;
}
template<typename T> void debug(vector<vector<T>> &v){
rep(i, v.size()){
rep(j, v[i].size()){
cerr << v[i][j] << " ";
}
cerr << endl;
}
}
template<typename T> void debug(vector<pair<T, T>> &v){
rep(i,v.size()){
cerr << v[i].first << " " << v[i].second << endl;
}
}
template<typename T> void debug(set<T> &st){
for (auto itr = st.begin(); itr != st.end(); itr++){
cerr << *itr << " ";
}
cerr << endl;
}
template<typename T> void debug(multiset<T> &ms){
for (auto itr = ms.begin(); itr != ms.end(); itr++){
cerr << *itr << " ";
}
cerr << endl;
}
template<typename T> void debug(map<T, T> &mp){
for (auto itr = mp.begin(); itr != mp.end(); itr++){
cerr << itr->first << " " << itr->second << endl;
}
}
void debug_out(){
cerr << endl;
}
template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T){
cerr << H << " ";
debug_out(T...);
}
void dijkstra(vvpll &graph, ll v, vl &dist, vl &cnt){
priority_queue<pll, vpll, greater<pll>> pque;
vector<bool> decided(graph.size());
pque.push(pll(0, v));
cnt[v] = 1;
dist[v] = 0;
while(pque.size()){
pll p = pque.top();
pque.pop();
if (dist[p.second] < p.first){
continue;
}
decided[p.second] = true;
for (auto x: graph[p.second]){
if (dist[x.first] + x.second == dist[p.second] && decided[x.first]){
cnt[p.second] = (cnt[p.second] + cnt[x.first]) % mod1;
}
}
for (auto x: graph[p.second]){
if (dist[x.first] > dist[p.second] + x.second){
dist[x.first] = dist[p.second] + x.second;
pque.push(pll(dist[x.first], x.first));
}
}
}
}
int main(){
ll N, M;
cin >> N >> M;
vl a(M);
vl b(M);
rep(i,M){
cin >> a[i] >> b[i];
a[i]--;
b[i]--;
}
vl c(N);
rep(i,N) cin >> c[i];
ll ans = M + 1;
if (M <= 2){
for (ll i = 0; i < (1 << M); i++){
vl cnt(N, 0);
rep(j, N) cnt[j] = c[j];
ll popcnt = 0;
for (ll j = 0; j < M; j++){
if ((i >> j) & 1){
cnt[a[j]] ^= 1;
cnt[b[j]] ^= 1;
popcnt++;
}
}
bool pos = true;
rep(j, N){
if (cnt[j] == 1) pos = false;
}
if (pos){
ans = min(ans, popcnt);
}
}
}
else{
ll c_bit = 0;
for (ll i = 0; i < N; i++){
if (c[i] == 1) c_bit += (1LL << i);
}
vpll former(0);
vpll latter(0);
for (ll i = 0; i < (1LL << (M / 2)); i++){
ll pop_cnt = 0;
vl change(N, 0);
for (ll j = 0; j < (M / 2); j++){
if ((i >> j) & 1){
pop_cnt++;
change[a[j]] ^= 1;
change[b[j]] ^= 1;
}
}
ll change_bit = 0;
for (ll j = 0; j < N; j++){
if (change[j] == 1){
change_bit += (1LL << j);
}
}
former.push_back(pll(pop_cnt, change_bit));
}
for (ll i = 0; i < (1LL << (M - M / 2)); i++){
ll pop_cnt = 0;
vl change(N, 0);
for (ll j = 0; j < (M - M / 2); j++){
if ((i >> j) & 1){
pop_cnt++;
change[a[j + M / 2]] ^= 1;
change[b[j + M / 2]] ^= 1;
}
}
ll change_bit = 0;
for (ll j = 0; j < N; j++){
if (change[j] == 1){
change_bit += (1LL << j);
}
}
latter.push_back(pll(pop_cnt, change_bit));
}
unordered_map<ll, ll> lattmap;
for (ll i = 0; i < latter.size(); i++){
if (lattmap[latter[i].second] == 0) lattmap[latter[i].second] = latter[i].first;
else lattmap[latter[i].second] = min(lattmap[latter[i].second], latter[i].first);
}
//debug(c_bit);
for (ll i = 0; i < former.size(); i++){
//debug_out(former[i].second, former[i].first, lattmap[former[i].second ^ c_bit]);
if ((former[i].second ^ c_bit) == 0) ans = min(ans, former[i].first);
else{
if (lattmap[former[i].second ^ c_bit] >= 1){
ans = min(ans, former[i].first + lattmap[former[i].second ^ c_bit]);
}
}
}
}
if (ans == M + 1) cout << -1 << endl;
else cout << ans << endl;
}
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