Submission #280374

# Submission time Handle Problem Language Result Execution time Memory
280374 2020-08-22T17:00:17 Z ACmachine Potemkin cycle (CEOI15_indcyc) C++17
70 / 100
1000 ms 5172 KB
#include <bits/stdc++.h>
using namespace std;

#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;

template<typename T> using ordered_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template<typename T, typename U> using ordered_map = tree<T, U, less<T>, rb_tree_tag, tree_order_statistics_node_update>;

typedef long long ll;
typedef long double ld;
typedef double db;
typedef string str;

typedef pair<int,int> pii;
typedef pair<ll,ll> pll;

typedef vector<int> vi;
typedef vector<ll> vll;
typedef vector<pii> vpii;
typedef vector<pll> vpll;
typedef vector<str> vstr;

#define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
#define FORD(i,j,k,in) for(int i=(j); i >=(k);i-=in)
#define REP(i,b) FOR(i,0,b,1)
#define REPD(i,b) FORD(i,b,0,1)
#define pb push_back 
#define mp make_pair
#define ff first
#define ss second
#define all(x) begin(x), end(x)
#define rsz resize 

const double EPS = 1e-9;
const int MOD = 1e9+7; // 998244353;
const ll INFF = 1e18;
const int INF = 1e9;
const ld PI = acos((ld)-1);
const vi dy = {1, 0, -1, 0, -1, 1, 1, -1};
const vi dx = {0, 1, 0, -1, -1, 1, -1, 1};

#ifdef DEBUG
#define DBG if(1)
#else
#define DBG if(0)
#endif

#define dbg(x) cout << "(" << #x << " : " << x << ")" << endl;
// ostreams
template <class T, class U>
ostream& operator<<(ostream& out, const pair<T, U> &par) {out << "[" << par.first << ";" << par.second << "]"; return out;}
template <class T>
ostream& operator<<(ostream& out, const set<T> &cont) { out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template <class T, class U>
ostream& operator<<(ostream& out, const map<T, U> &cont) {out << "{"; for( const auto &x:cont) out << x << ", "; out << "}"; return out; }
template<class T>
ostream& operator<<(ostream& out, const vector<T> &v){ out << "[";  REP(i, v.size()) out << v[i] << ", ";  out << "]"; return out;}
// istreams
template<class T>
istream& operator>>(istream& in, vector<T> &v){ for(auto &x : v) in >> x; return in; }
template<class T, class U>
istream& operator>>(istream& in, pair<T, U> &p){ in >> p.ff >> p.ss; return in; }
//searches
template<typename T, typename U>
T bsl(T lo, T hi, U f){ hi++; T mid; while(lo < hi){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid+1; } return lo; }
template<typename U>
double bsld(double lo, double hi, U f, double p = 1e-9){ int r = 3 + (int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? hi = mid : lo = mid; } return (lo + hi)/2; }
template<typename T, typename U>
T bsh(T lo, T hi, U f){ lo--; T mid; while(lo < hi){ mid = (lo + hi + 1)/2; f(mid) ? lo = mid : hi = mid-1; } return lo; }
template<typename U>
double bshd(double lo, double hi, U f, double p = 1e-9){ int r = 3+(int)log2((hi - lo)/p); double mid; while(r--){ mid = (lo + hi)/2; f(mid) ? lo = mid : hi = mid; } return (lo + hi)/2; }
// some more utility functions
template<typename T>
pair<T, int> get_min(vector<T> &v){ typename vector<T> :: iterator it = min_element(v.begin(), v.end()); return mp(*it, it - v.begin());}
template<typename T>
pair<T, int> get_max(vector<T> &v){ typename vector<T> :: iterator it = max_element(v.begin(), v.end()); return mp(*it, it - v.begin());}        
template<typename T> bool ckmin(T& a, const T& b){return b < a ? a = b , true : false;}
template<typename T> bool ckmax(T& a, const T& b){return b > a ? a = b, true : false;}

template<typename T>
struct edge{
    int src;
    int dest;
    T cost;
};
template<typename T>
class graph{
    public: 
    vector<edge<T>> edges;
    vector<vector<int>> adj;
    int n;
    graph(){};
    graph(int _n){
        n = _n;
        adj.resize(n);
    }
};

template<typename T>
class undigraph : public graph<T>{
    public:
        using graph<T>::edges;
        using graph<T>::adj;
        using graph<T>::n;
        undigraph() : graph<T>(){};
        undigraph(int _n) : graph<T>(_n){};

        int add_edge(int src, int dest, T cost = 1){
            int id = edges.size();
            edges.push_back({src, dest, cost});
            adj[src].push_back(id);
            adj[dest].push_back(id);
            return id;
        }
};
struct bfs{
    vi par;
    vi dist;
    undigraph<int> g;
    void go(int s, int dest, int forbidden){
        par.rsz(g.n, -1);
        dist.rsz(g.n, -1);
        fill(all(par), -1); fill(all(dist), -1);
        queue<int> q; 
        dist[s] = 0;
        dist[forbidden] = 0;
        for(int id : g.adj[forbidden]){
            edge<int> e = g.edges[id];
            int other = e.src ^ e.dest ^ forbidden;
            if(other != dest) dist[other] = 0;
        }
        q.push(s);
        while(!q.empty()){
            int v = q.front();
            q.pop();
            for(int id : g.adj[v]){
                auto e = g.edges[id];
                int other = e.src ^ e.dest ^ v;
                if(dist[other] == -1){
                    dist[other] = dist[v]+1;
                    par[other] = v;
                    q.push(other); 
                }
            }
        }
    }
    vi get_path(int source, int dest, int forbidden){
        go(source, dest, forbidden);
        if(dist[dest] == -1) return vi(0);
        vi path;
        while(dest != source){
            path.pb(dest);
            dest = par[dest];
        }
        path.pb(source);
        reverse(all(path));
        return path;
    }
};
struct AcAutomaton{
    int n,r;
    undigraph<int> g;
    vector<vector<bool>> adjmat;
	void read_in(){
		cin >> n >> r;
        adjmat.rsz(n, vector<bool>(n, 0));
        g = undigraph<int>(n);
        REP(i, r){
            int a, b; cin >> a >> b;
            a--; b--;
            g.add_edge(a, b);
            adjmat[a][b] = true;
            adjmat[b][a] = true;
        } 
	}
	void solve(){
		bfs spath;
        spath.g = g;
        REP(i, n){
            REP(j, g.adj[i].size()){
                FOR(k, j+1, g.adj[i].size(), 1){
                    edge<int> e1 = g.edges[g.adj[i][j]];
                    edge<int> e2 = g.edges[g.adj[i][k]];
                    int o1 = e1.src ^ e1.dest ^ i;
                    int o2 = e2.src ^ e2.dest ^ i;
                    if(adjmat[o1][o2]) continue;
                    //cout << "(" << o1 << " " << o2 << " " << i << ")" << endl; 
                    vi cycle = spath.get_path(o1, o2, i);
                    /* dbg(cycle); */
                    /* dbg(spath.par); */
                    cycle.insert(cycle.begin(), i); 
                    //dbg(cycle);
                    bool can = true;
                    if(cycle.size() == 1) can = false;
                    REP(v, cycle.size()){
                        if(cycle[v] != o1 && cycle[v] != o2 && adjmat[i][cycle[v]]) can = false;
                        if(cycle[v] != i && v != 2 && adjmat[o1][cycle[v]]) can = false;
                        if(cycle[v] != i && v != cycle.size()-2 && adjmat[o2][cycle[v]]) can = false;
                    }
                    if(can){
                        REP(i, cycle.size()) cout << cycle[i]+1 << (i == cycle.size()-1 ? "\n" : " ");
                        return;
                    }
                }
            }
        }
        cout << "no" << endl;
	}
};
    
int main(){
 	ios_base::sync_with_stdio(false);
 	cin.tie(NULL); cout.tie(NULL);
	int tcase = 1;
	while(tcase--){
		AcAutomaton solver;
		solver.read_in();
		solver.solve();
	}
    return 0;
}

Compilation message

indcyc.cpp: In member function 'void AcAutomaton::solve()':
indcyc.cpp:26:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
indcyc.cpp:28:18: note: in expansion of macro 'FOR'
   28 | #define REP(i,b) FOR(i,0,b,1)
      |                  ^~~
indcyc.cpp:183:13: note: in expansion of macro 'REP'
  183 |             REP(j, g.adj[i].size()){
      |             ^~~
indcyc.cpp:26:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
indcyc.cpp:184:17: note: in expansion of macro 'FOR'
  184 |                 FOR(k, j+1, g.adj[i].size(), 1){
      |                 ^~~
indcyc.cpp:26:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
indcyc.cpp:28:18: note: in expansion of macro 'FOR'
   28 | #define REP(i,b) FOR(i,0,b,1)
      |                  ^~~
indcyc.cpp:198:21: note: in expansion of macro 'REP'
  198 |                     REP(v, cycle.size()){
      |                     ^~~
indcyc.cpp:201:47: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  201 |                         if(cycle[v] != i && v != cycle.size()-2 && adjmat[o2][cycle[v]]) can = false;
      |                                             ~~^~~~~~~~~~~~~~~~~
indcyc.cpp:26:40: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   26 | #define FOR(i,j,k,in) for(int i=(j); i < (k);i+=in)
      |                                        ^
indcyc.cpp:28:18: note: in expansion of macro 'FOR'
   28 | #define REP(i,b) FOR(i,0,b,1)
      |                  ^~~
indcyc.cpp:204:25: note: in expansion of macro 'REP'
  204 |                         REP(i, cycle.size()) cout << cycle[i]+1 << (i == cycle.size()-1 ? "\n" : " ");
      |                         ^~~
indcyc.cpp:204:71: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  204 |                         REP(i, cycle.size()) cout << cycle[i]+1 << (i == cycle.size()-1 ? "\n" : " ");
      |                                                                     ~~^~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
3 Correct 0 ms 384 KB Output is correct
4 Correct 0 ms 256 KB Output is correct
5 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 0 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 384 KB Output is correct
2 Correct 22 ms 384 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 174 ms 572 KB Output is correct
2 Correct 2 ms 512 KB Output is correct
3 Correct 2 ms 640 KB Output is correct
4 Correct 313 ms 760 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 6 ms 512 KB Output is correct
2 Correct 262 ms 512 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 893 ms 2616 KB Output is correct
2 Correct 109 ms 1596 KB Output is correct
3 Execution timed out 1082 ms 3000 KB Time limit exceeded
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 36 ms 1468 KB Output is correct
2 Execution timed out 1088 ms 1596 KB Time limit exceeded
# Verdict Execution time Memory Grader output
1 Correct 57 ms 4372 KB Output is correct
2 Correct 390 ms 5172 KB Output is correct
3 Execution timed out 1010 ms 3884 KB Time limit exceeded
4 Halted 0 ms 0 KB -