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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#152295#6329. Colorful Graphaesthetic#WA 6ms5256kbC++145.0kb2023-08-27 23:17:472023-08-27 23:17:48

Judging History

你现在查看的是最新测评结果

  • [2023-08-27 23:17:48]
  • 评测
  • 测评结果:WA
  • 用时:6ms
  • 内存:5256kb
  • [2023-08-27 23:17:47]
  • 提交

answer

#include "bits/stdc++.h"
#define endl '\n'
#define f first
#define s second
#define pb push_back
#define mp make_pair
#define per(i, a, b) for(int i = b-1; i>=a ; i--)
#define trav(a, x) for(auto& a : x)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define rep(i, a, b) for (int i = (a); i < (b); ++i)
std::mt19937 rng((int) std::chrono::steady_clock::now().time_since_epoch().count());
using namespace std;
// #define int long long
 
#define dbg_loc() cerr << __PRETTY_FUNCTION__ << " : " << __LINE__ << "\n"
template<typename A, typename B> ostream& operator<<(ostream &os, const pair<A, B> &p){ 
    return os << '(' << p.first << ", " << p.second << ')'; 
}
template<typename T_container,typename T=typename enable_if<!is_same<T_container,string>::value, typename T_container::value_type>::type> 
ostream& operator<<(ostream &os, const T_container &v){ 
    os << '{'; string sep; for (const T &x : v) os << sep << x, sep = ", "; return os << '}'; 
}
void dbg_out() { cerr << endl; }
template<typename Head, typename... Tail> void dbg_out(Head H, Tail... T){ 
    cerr << ' ' << H; 
    dbg_out(T...); 
}
#define LOCAL
#define LOCAL
#ifdef LOCAL 
#define dbg(...) cerr<<"(" << #__VA_ARGS__<<"):" , dbg_out(__VA_ARGS__) , cerr << endl
#else
#define dbg(...)
#endif
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
ll mod = (1000000007LL);
inline ll Mod(ll a, ll b){return (a%b);}
inline ll poww(ll a, ll b){ll res = 1;while (b > 0){if(b & 1) res = (res * a)%mod;a = (a * a)%mod;b >>= 1;}return res;}
ll gcd (ll a, ll b) { while (b) { a %= b,swap(a, b);}return a;}
void read(vector<int> &w, int n){w.resize(n);for(int i = 0; i < n; i++) cin>>w[i];}
void print(vector<int> &w){for(int i =0; i < sz(w); i++){if(i == sz(w) - 1) cout<<w[i]<<"\n";else cout<<w[i]<<" ";}}
 
///CUIDADO COM MAXN
#define N 100020 // 1E6

struct SCC{
  vector< vi> g , comps;

  vi val, z, cont, comp;

  int Time =0, ncomps= 0 , n; 

  SCC(vector<vi> g, int n ):n(n) , g(g) , val(n+1,0), comp(n+1, -1) {}
  
  int dfs(int j){
    int low = val[j] = ++Time , x ; z.push_back(j);
    trav(e, g[j]) if(comp[e] < 0)
      low = min(low , val[e] ?: dfs(e));
    if(low == val[j]){
      do{
        x = z.back() ; z.pop_back();
        comp[x] = ncomps;
        cont.push_back(x);
      } while(x != j);
      comps.push_back(cont) , cont.clear();
      ncomps++;
    }
    return val[j] = low;
  }

  void scc(){
    val.assign(n+1,0); comp.assign(n+1,-1);
    Time = ncomps = 0 ;
    rep(i,1,n+1) if(comp[i] < 0 ) dfs(i);
  }
  
  vector<vi> DAG(){// sem arestas repetidas
    vector<vi> dag(n+1);val.assign(n+1,-1);

    for(int i=0;i<ncomps;i++){
      for(auto v : comps[i]){
        for(auto to : g[v]){
          if(val[comp[to]]==-1 && comp[to]!=i){
            val[comp[to]]=1;
            dag[i].pb(comp[to]);
          }
        }
      }
      for(auto v : comps[i])
        for(auto to : g[v])
          val[comp[to]]=-1;
    }
    return dag;
  }
  int repre(int c){
    // representante da componente c (c < ncomps):
    return comps[c][0];
  }
};
int  n,m;
vector<vi> grafo;


bool find(int j, vector<vi>& g, vi& btoa, vi& vis) {
    if (btoa[j] == -1) return 1;
    vis[j] = 1; int di = btoa[j];
    for (int e : g[di])
        if (!vis[e] && find(e, g, btoa, vis)) {
            btoa[e] = di;
            return 1;
        }
    return 0;
}
int dfsMatching(vector<vi>& g, vi& btoa) {
    vi vis;
    rep(i,0,sz(g)) {
        vis.assign(sz(btoa), 0);
        for (int j : g[i])
            if (find(j, g, btoa, vis)) {
                btoa[j] = i;
                break;
            }
    }
    return sz(btoa) - (int)count(all(btoa), -1);
}

vector<vi> match;
int32_t main(){
    ios::sync_with_stdio(false); cin.tie(0);
    cin>>n>>m;
    grafo.resize(n+1);
    for(int i =1,a,b; i <= m; i++){
        cin>>a>>b;
        grafo[a].pb(b);
    }

    SCC T = SCC(grafo,n);
    T.scc();

    auto dag = T.DAG();

    // dbg(dag);
    match.resize(n+1);
    vi grau(n+1,0);
    rep(i,0,sz(dag)) for(auto j: dag[i]){
        match[i].pb(j);
        grau[j] ++;

        // dbg(i,j);
    }
    vi btoa(n + 1, -1), cor(n+1,-1);
    int qtd = dfsMatching(match, btoa);

    vi lista;
    int t=0;
    // dbg(dag);
    for(int i = 0; i < T.ncomps; i++)
        if(!grau[i]){
            lista.pb(i);
            cor[i] = ++t;
        }
    // rep(i,1,n+1) dbg(i,T.comp[i]);
    // dbg(btoa);
    //0  até n
    for(int i = 0; i < sz(lista); i++){
        auto x = lista[i];
        if(cor[x] == -1) cor[x] = ++t;
        // dbg(x, cor[x]);
        for(auto v: dag[x]){
            // dbg(x, v);
            grau[v] --;
            if(v == btoa[x] or x == btoa[v])
                cor[v]=cor[x];
            if(!grau[v]){
                lista.pb(v);
            }
        }
    }

    for(int i = 1; i <= n; i++) cout<<cor[T.comp[i]]<<" \n"[i==n];
    // dbg(dag);
    // dbg(T.comps);
    // rep(i,1,n+1) dbg(i,Tcomp[i]));

    // cout<<"oi\n";
}

Details

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Test #1:

score: 100
Accepted
time: 1ms
memory: 3516kb

input:

5 5
1 4
2 3
1 3
2 5
5 1

output:

2 1 1 2 2

result:

ok AC

Test #2:

score: 0
Accepted
time: 0ms
memory: 3504kb

input:

5 7
1 2
2 1
4 3
5 1
5 4
4 1
4 5

output:

1 1 2 1 1

result:

ok AC

Test #3:

score: 0
Accepted
time: 1ms
memory: 3540kb

input:

8 6
6 1
3 4
3 6
2 3
4 1
6 4

output:

1 1 1 1 2 1 3 4

result:

ok AC

Test #4:

score: -100
Wrong Answer
time: 6ms
memory: 5256kb

input:

7000 6999
4365 4296
2980 3141
6820 4995
4781 24
2416 5844
2940 2675
3293 2163
3853 5356
262 6706
1985 1497
5241 3803
353 1624
5838 4708
5452 3019
2029 6161
3849 4219
1095 1453
4268 4567
1184 1857
2911 3977
1662 2751
6353 6496
2002 6628
1407 4623
425 1331
4445 4277
1259 3165
4994 1044
2756 5788
5496 ...

output:

1 1949 2587 2137 3 2 3 2510 3041 2241 1 1 4 1 2211 5 2775 6 3139 1789 2740 2909 3 2253 1939 7 8 6 2424 9 2921 2867 10 11 2524 2524 2327 12 3 13 2203 2954 14 2804 15 3111 16 3 17 18 3483 19 2664 3 1973 2110 1 20 3208 21 2881 3 3 3 2053 22 3 3 2236 23 24 3157 25 3309 26 2902 6 2874 3414 3 3 3 2607 263...

result:

wrong answer Integer 1949 violates the range [1, 1750]