#724785 (C++17) No.1789 Tree Growing

提出ソース

結果

問題	No.1789 Tree Growing
ユーザー	👑 tute7627
提出日時	2021-12-18 01:52:27
言語	C++17 (gcc 12.3.0 + boost 1.83.0)
結果	WA
実行時間	-
コード長	11,794 bytes
コンパイル時間	2,872 ms
コンパイル使用メモリ	231,764 KB
実行使用メモリ	4,480 KB
最終ジャッジ日時	2023-10-13 05:50:03
合計ジャッジ時間	20,586 ms
ジャッジサーバーID （参考情報）	judge12 / judge13

このコードへのチャレンジ
（要ログイン）

テストケース

テストケース表示

入力	結果	実行時間実行使用メモリ
testcase_00	AC	1 ms 4,352 KB
testcase_01	AC	1 ms 4,348 KB
testcase_02	AC	2 ms 4,352 KB
testcase_03	WA	-
testcase_04	WA	-
testcase_05	WA	-
testcase_06	AC	3 ms 4,348 KB
testcase_07	WA	-
testcase_08	AC	1 ms 4,352 KB
testcase_09	AC	2 ms 4,348 KB
testcase_10	WA	-
testcase_11	AC	2 ms 4,348 KB
testcase_12	AC	2 ms 4,348 KB
testcase_13	AC	3 ms 4,348 KB
testcase_14	WA	-
testcase_15	AC	6 ms 4,348 KB
testcase_16	AC	2 ms 4,352 KB
testcase_17	AC	15 ms 4,352 KB
testcase_18	WA	-
testcase_19	WA	-
testcase_20	AC	11 ms 4,348 KB
testcase_21	AC	103 ms 4,348 KB
testcase_22	WA	-
testcase_23	AC	69 ms 4,352 KB
testcase_24	AC	36 ms 4,352 KB
testcase_25	AC	181 ms 4,348 KB
testcase_26	WA	-
testcase_27	AC	101 ms 4,356 KB
testcase_28	AC	118 ms 4,348 KB
testcase_29	AC	80 ms 4,352 KB
testcase_30	AC	154 ms 4,352 KB
testcase_31	WA	-
testcase_32	AC	139 ms 4,348 KB
testcase_33	AC	14 ms 4,348 KB
testcase_34	WA	-
testcase_35	AC	161 ms 4,348 KB
testcase_36	WA	-
testcase_37	WA	-
testcase_38	AC	118 ms 4,356 KB
testcase_39	WA	-
testcase_40	AC	132 ms 4,348 KB
testcase_41	AC	101 ms 4,352 KB
testcase_42	AC	150 ms 4,348 KB
testcase_43	AC	118 ms 4,348 KB
testcase_44	AC	103 ms 4,352 KB
testcase_45	AC	112 ms 4,352 KB
testcase_46	AC	206 ms 4,352 KB
testcase_47	AC	73 ms 4,348 KB
testcase_48	AC	193 ms 4,348 KB
testcase_49	AC	110 ms 4,348 KB
testcase_50	AC	72 ms 4,352 KB
testcase_51	AC	113 ms 4,348 KB
testcase_52	AC	130 ms 4,352 KB
testcase_53	AC	63 ms 4,348 KB
testcase_54	WA	-
testcase_55	WA	-
testcase_56	WA	-
testcase_57	WA	-
testcase_58	WA	-
testcase_59	WA	-
testcase_60	AC	601 ms 4,348 KB
testcase_61	AC	471 ms 4,348 KB
testcase_62	AC	761 ms 4,348 KB
testcase_63	WA	-
testcase_64	AC	482 ms 4,352 KB
testcase_65	WA	-
testcase_66	AC	376 ms 4,348 KB
testcase_67	AC	342 ms 4,348 KB
testcase_68	AC	536 ms 4,348 KB
testcase_69	AC	412 ms 4,348 KB
testcase_70	AC	662 ms 4,352 KB
testcase_71	AC	534 ms 4,348 KB
testcase_72	AC	1,136 ms 4,348 KB
testcase_73	AC	1,206 ms 4,348 KB
testcase_74	AC	411 ms 4,348 KB
testcase_75	AC	2 ms 4,352 KB
testcase_76	AC	1 ms 4,348 KB
testcase_77	AC	15 ms 4,348 KB
testcase_78	AC	15 ms 4,348 KB
testcase_79	AC	165 ms 4,352 KB
testcase_80	AC	117 ms 4,352 KB
testcase_81	AC	162 ms 4,348 KB
testcase_82	AC	227 ms 4,348 KB
testcase_83	AC	109 ms 4,348 KB
testcase_84	AC	105 ms 4,352 KB
testcase_85	AC	227 ms 4,352 KB
testcase_86	AC	72 ms 4,348 KB
testcase_87	AC	227 ms 4,352 KB

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ソースコード

raw source code

//#define _GLIBCXX_DEBUG

#include<bits/stdc++.h>
using namespace std;

//#define endl '\n'
#define lfs cout<<fixed<<setprecision(10)
#define ALL(a)  (a).begin(),(a).end()
#define ALLR(a)  (a).rbegin(),(a).rend()
#define UNIQUE(a) (a).erase(unique((a).begin(),(a).end()),(a).end())
#define spa << " " <<
#define fi first
#define se second
#define MP make_pair
#define MT make_tuple
#define PB push_back
#define EB emplace_back
#define rep(i,n,m) for(ll i = (n); i < (ll)(m); i++)
#define rrep(i,n,m) for(ll i = (ll)(m) - 1; i >= (ll)(n); i--)
using ll = long long;
using ld = long double;
const ll MOD1 = 1e9+7;
const ll MOD9 = 998244353;
const ll INF = 1e18;
using P = pair<ll, ll>;
template<typename T> using PQ = priority_queue<T>;
template<typename T> using QP = priority_queue<T,vector<T>,greater<T>>;
template<typename T1, typename T2>bool chmin(T1 &a,T2 b){if(a>b){a=b;return true;}else return false;}
template<typename T1, typename T2>bool chmax(T1 &a,T2 b){if(a<b){a=b;return true;}else return false;}
ll median(ll a,ll b, ll c){return a+b+c-max({a,b,c})-min({a,b,c});}
void ans1(bool x){if(x) cout<<"Yes"<<endl;else cout<<"No"<<endl;}
void ans2(bool x){if(x) cout<<"YES"<<endl;else cout<<"NO"<<endl;}
void ans3(bool x){if(x) cout<<"Yay!"<<endl;else cout<<":("<<endl;}
template<typename T1,typename T2>void ans(bool x,T1 y,T2 z){if(x)cout<<y<<endl;else cout<<z<<endl;}  
template<typename T1,typename T2,typename T3>void anss(T1 x,T2 y,T3 z){ans(x!=y,x,z);};  
template<typename T>void debug(const T &v,ll h,ll w,string sv=" "){for(ll i=0;i<h;i++){cout<<v[i][0];for(ll j=1;j<w;j++)cout<<sv<<v[i][j];cout<<endl;}};
template<typename T>void debug(const T &v,ll n,string sv=" "){if(n!=0)cout<<v[0];for(ll i=1;i<n;i++)cout<<sv<<v[i];cout<<endl;};
template<typename T>void debug(const vector<T>&v){debug(v,v.size());}
template<typename T>void debug(const vector<vector<T>>&v){for(auto &vv:v)debug(vv,vv.size());}
template<typename T>void debug(stack<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(queue<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(deque<T> st){while(!st.empty()){cout<<st.front()<<" ";st.pop_front();}cout<<endl;}
template<typename T>void debug(PQ<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(QP<T> st){while(!st.empty()){cout<<st.top()<<" ";st.pop();}cout<<endl;}
template<typename T>void debug(const set<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T>void debug(const multiset<T>&v){for(auto z:v)cout<<z<<" ";cout<<endl;}
template<typename T,size_t size>void debug(const array<T, size> &a){for(auto z:a)cout<<z<<" ";cout<<endl;}
template<typename T,typename V>void debug(const map<T,V>&v){for(auto z:v)cout<<"["<<z.first<<"]="<<z.second<<",";cout<<endl;}
template<typename T>vector<vector<T>>vec(ll x, ll y, T w){vector<vector<T>>v(x,vector<T>(y,w));return v;}
ll gcd(ll x,ll y){ll r;while(y!=0&&(r=x%y)!=0){x=y;y=r;}return y==0?x:y;}
vector<ll>dx={1,-1,0,0,1,1,-1,-1};vector<ll>dy={0,0,1,-1,1,-1,1,-1};
template<typename T>vector<T> make_v(size_t a,T b){return vector<T>(a,b);}
template<typename... Ts>auto make_v(size_t a,Ts... ts){return vector<decltype(make_v(ts...))>(a,make_v(ts...));}
template<typename T1, typename T2>ostream &operator<<(ostream &os, const pair<T1, T2>&p){return os << p.first << " " << p.second;}
template<typename T>ostream &operator<<(ostream &os, const vector<T> &v){for(auto &z:v)os << z << " ";cout<<"|"; return os;}
template<typename T>void rearrange(vector<int>&ord, vector<T>&v){
  auto tmp = v;
  for(int i=0;i<tmp.size();i++)v[i] = tmp[ord[i]];
}
template<typename Head, typename... Tail>void rearrange(vector<int>&ord,Head&& head, Tail&&... tail){
  rearrange(ord, head);
  rearrange(ord, tail...);
}
template<typename T> vector<int> ascend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]<v[j];});
  return ord;
}
template<typename T> vector<int> descend(const vector<T>&v){
  vector<int>ord(v.size());iota(ord.begin(),ord.end(),0);
  sort(ord.begin(),ord.end(),[&](int i,int j){return v[i]>v[j];});
  return ord;
}
ll FLOOR(ll n,ll div){assert(div>0);return n>=0?n/div:(n-div+1)/div;}
ll CEIL(ll n,ll div){assert(div>0);return n>=0?(n+div-1)/div:n/div;}
ll digitsum(ll n){ll ret=0;while(n){ret+=n%10;n/=10;}return ret;}
ll modulo(ll n,ll d){return (n%d+d)%d;};
template<typename T>T min(const vector<T>&v){return *min_element(v.begin(),v.end());}
template<typename T>T max(const vector<T>&v){return *max_element(v.begin(),v.end());}
template<typename T>T acc(const vector<T>&v){return accumulate(v.begin(),v.end(),T(0));};
template<typename T>T reverse(const T &v){return T(v.rbegin(),v.rend());};
//mt19937 mt(chrono::steady_clock::now().time_since_epoch().count());
int popcount(ll x){return __builtin_popcountll(x);};
int poplow(ll x){return __builtin_ctzll(x);};
int pophigh(ll x){return 63 - __builtin_clzll(x);};
template<typename T>T poll(queue<T> &q){auto ret=q.front();q.pop();return ret;};
template<typename T>T poll(priority_queue<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(QP<T> &q){auto ret=q.top();q.pop();return ret;};
template<typename T>T poll(stack<T> &s){auto ret=s.top();s.pop();return ret;};
ll MULT(ll x,ll y){if(LLONG_MAX/x<=y)return LLONG_MAX;return x*y;}
ll POW2(ll x, ll k){ll ret=1,mul=x;while(k){if(mul==LLONG_MAX)return LLONG_MAX;if(k&1)ret=MULT(ret,mul);mul=MULT(mul,mul);k>>=1;}return ret;}
ll POW(ll x, ll k){ll ret=1;for(int i=0;i<k;i++){if(LLONG_MAX/x<=ret)return LLONG_MAX;ret*=x;}return ret;}
template< typename T = int >
struct edge {
  int to;
  T cost;
  int id;
  edge():id(-1){};
  edge(int to, T cost = 1, int id = -1):to(to), cost(cost), id(id){}
  operator int() const { return to; }
};

template<typename T>
using Graph = vector<vector<edge<T>>>;
template<typename T>
Graph<T>revgraph(const Graph<T> &g){
  Graph<T>ret(g.size());
  for(int i=0;i<g.size();i++){
    for(auto e:g[i]){
      int to = e.to;
      e.to = i;
      ret[to].push_back(e);
    }
  }
  return ret;
}
template<typename T>
Graph<T> readGraph(int n,int m,int indexed=1,bool directed=false,bool weighted=false){
  Graph<T> ret(n);
  for(int es = 0; es < m; es++){
    int u,v;
    T w=1;
    cin>>u>>v;u-=indexed,v-=indexed;
    if(weighted)cin>>w;
    ret[u].emplace_back(v,w,es);
    if(!directed)ret[v].emplace_back(u,w,es);
  }
  return ret;
}
template<typename T>
Graph<T> readParent(int n,int indexed=1,bool directed=true){
  Graph<T>ret(n);
  for(int i=1;i<n;i++){
    int p;cin>>p;
    p-=indexed;
    ret[p].emplace_back(i);
    if(!directed)ret[i].emplace_back(p);
  }
  return ret;
}
template< typename flow_t, typename cost_t >
struct PrimalDual {
  const cost_t INF;

  struct edge {
    ll to;
    flow_t cap;
    cost_t cost;
    ll rev;
    bool isrev;
  };
  vector< vector< edge > > graph;
  vector< cost_t > potential, min_cost;
  vector< ll > prevv, preve;

  PrimalDual(ll V) : graph(V), INF(numeric_limits< cost_t >::max()) {}

  void add_edge(ll from, ll to, flow_t cap, cost_t cost) {
    graph[from].emplace_back((edge) {to, cap, cost, (ll) graph[to].size(), false});
    graph[to].emplace_back((edge) {from, 0, -cost, (ll) graph[from].size() - 1, true});
  }

  cost_t min_cost_flow(ll s, ll t, flow_t f) {
    ll V = (ll) graph.size();
    cost_t ret = 0;
    using Pi = pair< cost_t, ll >;
    priority_queue< Pi, vector< Pi >, greater< Pi > > que;
    potential.assign(V, 0);
    preve.assign(V, -1);
    prevv.assign(V, -1);

    while(f > 0) {
      min_cost.assign(V, INF);
      que.emplace(0, s);
      min_cost[s] = 0;
      while(!que.empty()) {
        Pi p = que.top();
        que.pop();
        if(min_cost[p.second] < p.first) continue;
        for(ll i = 0; i < graph[p.second].size(); i++) {
          edge &e = graph[p.second][i];
          cost_t nextCost = min_cost[p.second] + e.cost + potential[p.second] - potential[e.to];
          if(e.cap > 0 && min_cost[e.to] > nextCost) {
            min_cost[e.to] = nextCost;
            prevv[e.to] = p.second, preve[e.to] = i;
            que.emplace(min_cost[e.to], e.to);
          }
        }
      }
      if(min_cost[t] == INF) return -1;
      for(ll v = 0; v < V; v++) potential[v] += min_cost[v];
      flow_t addflow = f;
      for(ll v = t; v != s; v = prevv[v]) {
        addflow = min(addflow, graph[prevv[v]][preve[v]].cap);
      }
      f -= addflow;
      ret += addflow * potential[t];
      for(ll v = t; v != s; v = prevv[v]) {
        edge &e = graph[prevv[v]][preve[v]];
        e.cap -= addflow;
        graph[v][e.rev].cap += addflow;
      }
    }
    return ret;
  }

  void output() {
    for(ll i = 0; i < graph.size(); i++) {
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        cout << i << "->" << e.to << " (flow: " << rev_e.cap << "/" << rev_e.cap + e.cap << ")" << endl;
      }
    }
  }
  //(from->to,flow,cost)
  using R=vector<pair<pair<ll,ll>,pair<flow_t,cost_t>>>;
  R restore() {
    R ret;
    for(ll i = 0; i < graph.size(); i++) {
      for(auto &e : graph[i]) {
        if(e.isrev) continue;
        auto &rev_e = graph[e.to][e.rev];
        ret.emplace_back(make_pair(i,e.to),make_pair(rev_e.cap,e.cost));
      }
    }
    return ret;
  }
};
template<typename T>
vector<ll> bfs(Graph<T> &g,int s=0){
  vector<ll>dist(g.size(),INF);
  queue<int>que;
  ll n=g.size();
  que.push(s);
  dist[s]=0;
  while(!que.empty()){
    int x=que.front();
    que.pop();
    for(auto to:g[x]){
      if(dist[to]==INF){
        dist[to]=dist[x]+1;
        que.push(to);
      }
    }
  }
  return dist;
}
int main(){
  cin.tie(nullptr);
  ios_base::sync_with_stdio(false);
  ll res=0,buf=0;
  bool judge = true;
  int k;cin>>k;
  auto g1=readGraph<int>(k,k-1);
  int n;cin>>n;
  auto g2=readGraph<int>(n,n-1);
  const int inf=10000;
  res=inf;
  rep(g2_root,0,n){
    auto dp=vec(k,n,-1);
    auto d1=bfs(g1,0);
    auto d2=bfs(g2,g2_root);
    vector<int>s1(k,1),s2(n,1);
    {
      auto dfs_sub=[&](auto &&f,Graph<int>&g,vector<int>&s,int v,int par)->void{
        for(auto to:g[v]){
          if(to==par)continue;
          f(f,g,s,to,v);
          s[v]+=s[to];
        }
      };
      dfs_sub(dfs_sub,g1,s1,0,-1);
      dfs_sub(dfs_sub,g2,s2,g2_root,-1);
    }
    auto rec=[&](auto &&f,int x,int y)->int{
      if(dp[x][y]!=-1)return dp[x][y];
      vector<int>cx,cy;
      for(auto to:g1[x])if(d1[x]<d1[to])cx.PB(to);
      for(auto to:g2[y])if(d2[y]<d2[to])cy.PB(to);
      int sx=cx.size(),sy=cy.size();
      dp[x][y]=inf;
      
      {
        int sumsub=0;
        for(auto to:cy)sumsub+=s2[to];
        for(auto to:cy){
          chmin(dp[x][y],f(f,x,to)+sumsub-s2[to]);
        }
      }
      assert(dp[x][y]>=0);
      //cout<<"sub" spa dp[x][y]<<endl;
      if(sx<=sy){
        auto c=vec(sx,sy,0);
        rep(i,0,sx)rep(j,0,sy){
          c[i][j]=f(f,cx[i],cy[j]);
        }
        PrimalDual<int,int>pd(sx+sy+3);
        int S=sx+sy,T=sx+sy+1,R=sx+sy+2;
        //pd.add_edge(S,T,sy,inf);
        rep(i,0,sx)pd.add_edge(S,i,1,0);
        pd.add_edge(S,R,sy-sx,0);
        rep(i,0,sy){
          pd.add_edge(R,i+sx,1,s2[cy[i]]);
          pd.add_edge(i+sx,T,1,0);
        }
        rep(i,0,sx)rep(j,0,sy){
          pd.add_edge(i,sx+j,1,c[i][j]);
        }
        //cout<<sx spa sy<<endl;
        //debug(c);
        int mincost=pd.min_cost_flow(S,T,sy);
        chmin(dp[x][y],mincost);
        //cout<<mincost<<endl;
      }
      //cout<<x spa y spa dp[x][y]<<endl;
      return dp[x][y];
    };
    
    chmin(res,rec(rec,0,g2_root));
  }
  if(res==inf)cout<<-1<<endl;
  else cout<<n-1-res<<endl;
  return 0;
}

yukicoder

結果

テストケース

ソースコード