Submission #1013582

#	Time	Username	Problem	Language	Result	Execution time	Memory
1013582		PCTprobability	Prize (CEOI22_prize)	C++17	100 / 100	3423 ms	527648 KiB

Main

#include <bits/stdc++.h>
using namespace std;
/*#if __has_include(<atcoder/all>)
#include <atcoder/all>
using namespace atcoder;
#endif*/
using ll = long long;
using ld = long double;
using ull = unsigned long long;
#define endl "\n"
typedef pair<int, int> Pii;
#define REP(i, n) for (int i = 0; i < (n); ++i)
#define REP3(i, m, n) for (int i = (m); (i) < int(n); ++ (i))
#define rep(i,a,b) for(int i=(int)(a);i<(int)(b);i++)
#define ALL(x) begin(x), end(x)
#define rrep(i,a,b) for(int i=a;i>=b;i--)
#define fore(i,a) for(auto &i:a)
#define all(s) (s).begin(),(s).end()
#define drep2(i, m, n) for (int i = (m)-1; i >= (n); --i)
#define drep(i, n) drep2(i, n, 0)
#define rever(vec) reverse(vec.begin(), vec.end())
#define sor(vec) sort(vec.begin(), vec.end())
#define fi first
#define FOR_(n) for (ll _ = 0; (_) < (ll)(n); ++(_))
#define FOR(i, n) for (ll i = 0; (i) < (ll)(n); ++(i))
#define se second
#define pb push_back
#define P pair<ll,ll>
#define PQminll priority_queue<ll, vector<ll>, greater<ll>>
#define PQmaxll priority_queue<ll,vector<ll>,less<ll>>
#define PQminP priority_queue<P, vector<P>, greater<P>>
#define PQmaxP priority_queue<P,vector<P>,less<P>>
#define NP next_permutation
#define die(a) {cout<<a<<endl;return 0;}
#define dier(a) {return a;}
//const ll mod = 1000000009;
const ll mod = 998244353;
//const ll mod = 1000000007;
const ll inf = 4100000000000000000ll;
const ld eps = ld(0.00000000001);
static const long double pi = 3.141592653589793;
template<class T>void vcin(vector<T> &n){for(int i=0;i<int(n.size());i++) cin>>n[i];}
template<class T,class K>void vcin(vector<T> &n,vector<K> &m){for(int i=0;i<int(n.size());i++) cin>>n[i]>>m[i];}
template<class T>void vcout(vector<T> &n){for(int i=0;i<int(n.size());i++){cout<<n[i]<<" ";}cout<<endl;}
template<class T>void vcin(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cin>>n[i][j];}}}
template<class T>void vcout(vector<vector<T>> &n){for(int i=0;i<int(n.size());i++){for(int j=0;j<int(n[i].size());j++){cout<<n[i][j]<<" ";}cout<<endl;}cout<<endl;}
void yes(bool a){cout<<(a?"yes":"no")<<endl;}
void YES(bool a){cout<<(a?"YES":"NO")<<endl;}
void Yes(bool a){cout<<(a?"Yes":"No")<<endl;}
void possible(bool a){ cout<<(a?"possible":"impossible")<<endl; }
void Possible(bool a){ cout<<(a?"Possible":"Impossible")<<endl; }
void POSSIBLE(bool a){ cout<<(a?"POSSIBLE":"IMPOSSIBLE")<<endl; }
#define FOR_R(i, n) for (ll i = (ll)(n)-1; (i) >= 0; --(i))
template<class T>auto min(const T& a){ return *min_element(all(a)); }
template<class T>auto max(const T& a){ return *max_element(all(a)); }
template<class T,class F>void print(pair<T,F> a){cout<<a.fi<<" "<<a.se<<endl;}
template<class T>bool chmax(T &a,const T b) { if (a<b) { a=b; return 1; } return 0;}
template<class T>bool chmin(T &a,const T b) { if (b<a) { a=b; return 1; } return 0;}
template<class T> void ifmin(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
template<class T> void ifmax(T t,T u){if(t>u){cout<<-1<<endl;}else{cout<<t<<endl;}}
ll fastgcd(ll u,ll v){ll shl=0;while(u&&v&&u!=v){bool eu=!(u&1);bool ev=!(v&1);if(eu&&ev){++shl;u>>=1;v>>=1;}else if(eu&&!ev){u>>=1;}else if(!eu&&ev){v>>=1;}else if(u>=v){u=(u-v)>>1;}else{ll tmp=u;u=(v-u)>>1;v=tmp;}}return !u?v<<shl:u<<shl;}
ll modPow(ll a, ll n, ll mod) { if(mod==1) return 0;ll ret = 1; ll p = a % mod; while (n) { if (n & 1) ret = ret * p % mod; p = p * p % mod; n >>= 1; } return ret; }
vector<ll> divisor(ll x){ vector<ll> ans; for(ll i = 1; i * i <= x; i++){ if(x % i == 0) {ans.push_back(i); if(i*i!=x){ ans.push_back(x / ans[i]);}}}sor(ans); return ans; }
ll pop(ll x){return __builtin_popcountll(x);}
ll poplong(ll x){ll y=-1;while(x){x/=2;y++;}return y;}
P hyou(P a){ll x=fastgcd(abs(a.fi),abs(a.se));a.fi/=x;a.se/=x;if(a.se<0){a.fi*=-1;a.se*=-1;}return a;}
P Pplus(P a,P b){ return hyou({a.fi*b.se+b.fi*a.se,a.se*b.se});}
P Ptimes(P a,ll b){ return hyou({a.fi*b,a.se});}
P Ptimes(P a,P b){ return hyou({a.fi*b.fi,a.se*b.se});}
P Pminus(P a,P b){ return hyou({a.fi*b.se-b.fi*a.se,a.se*b.se});}
P Pgyaku(P a){ return hyou({a.se,a.fi});}
 
void cincout(){
  ios::sync_with_stdio(false);
    std::cin.tie(nullptr);
  cout<< fixed << setprecision(15);
}
struct segtree{
  vector<int> node;
  int n;
  segtree(){
  }
  segtree(int _n){
    n=1;
    while(n<_n) n*=2;
    node.resize(2*n);
  }
  void set(int i,int v){
    i+=n;
    node[i]=v;
    while(i){
      i/=2;
      node[i]=node[2*i]+node[2*i+1];
    }
  }
  int prod(int l,int r,int a,int b,int k){
    if(r<=a||b<=l) return 0;
    if(l<=a&&b<=r) return node[k];
    return prod(l,r,a,(a+b)/2,2*k)+prod(l,r,(a+b)/2,b,2*k+1);
  }
  int prod(int l,int r){
    return prod(l,r,0,n,1);
  }
};
struct HLD{
  vector<vector<int>> g;
  vector<int> p,nx,sz,in;
  int now=0;
  segtree seg;
  HLD(vector<vector<int>> _g,int r){
    int n=_g.size();
    g=_g;
    p.resize(n);
    nx.resize(n,r);
    sz.resize(n);
    in.resize(n);
    dfs_sz(r,-1);
    now=0;
    dfs_hld(r,-1);
    seg=segtree(n);
  }
  void dfs_sz(int a,int b){
    if(g[a].size()&&g[a][0]==b){
      swap(g[a][0],g[a].back());
    }
    for(auto &e:g[a]){
      if(e==b) continue;
      dfs_sz(e,a);
      p[e]=a;
      sz[a]+=sz[e];
      if(sz[e]>sz[g[a][0]]){
        swap(e,g[a][0]);
      }
    }
    sz[a]++;
  }
  void dfs_hld(int a,int b){
    in[a]=now;
    now++;
    for(auto &e:g[a]){
      if(e==b) continue;
      if(e==g[a][0]){
        nx[e]=nx[a];
      }
      else{
        nx[e]=e;
      }
      dfs_hld(e,a);
    }
  }
  int lca(int u,int v){
    while(true){
      if(in[u]>in[v]) swap(u,v);
      if(nx[u]==nx[v]) return u;
      v=p[nx[v]];
    }
  }
  void set(int i,int x){
    seg.set(in[i],x);
  }
  int prod(int u,int v){
    int l=lca(u,v);
    int ans=0;
    while(nx[u]!=nx[l]){
      ans+=seg.prod(in[nx[u]],in[u]+1);
      u=p[nx[u]];
    }
    while(nx[v]!=nx[l]){
      ans+=seg.prod(in[nx[v]],in[v]+1);
      v=p[nx[v]];
    }
    ans+=seg.prod(in[l],in[u]+1);
    ans+=seg.prod(in[l]+1,in[v]+1);
    return ans;
  }
};
vector<vector<int>> g1,g2;
int re;
vector<int> v;
void dfs(int a,int b){
  if(re==0) return;
  v.pb(a);
  re--;
  if(re==0) return;
  for(auto e:g1[a]){
    if(e==b) continue;
    dfs(e,a);
    if(re==0) return;
  }
}
int d1[1010101][2],d2[1010101][2];
vector<pair<int,int>> ask;
int th[1010101];
int now=0;
pair<int,int> dfs2(int a,int b){
  vector<pair<int,int>> d;
  for(auto e:g2[a]){
    if(e==b) continue;
    P v=dfs2(e,a);
    if(v.fi==-1) continue;
    d.pb(v);
  }
  if(th[a]&&d.size()){
    ask.pb({a,d[0].fi});
  }
  for(int i=0;i+1<d.size();i++){
    ask.pb({d[i].fi,d[i+1].fi});
  }
  if(th[a]) return {a,0};
  else if(d.size()) return d[0];
  else return {-1,-1};
}
int ud1[1010101],ud2[1010101];
pair<int,int> dfs3(int a,int b){
  vector<pair<int,int>> d;
  vector<int> es;
  for(auto e:g2[a]){
    if(e==b) continue;
    pair<int,int> v=dfs3(e,a);
    if(v.fi==-1) continue;
    d.pb(v);
    es.pb(e);
  }
  if(th[a]&&d.size()){
    //ask.pb({a,d[0].fi});
    ud2[es[0]]=d2[now][1]-d[0].se;
    now++;
  }
  for(int i=0;i+1<d.size();i++){
   // ask.pb({d[i].fi,d[i+1].fi});
    ud2[es[i]]=d2[now][0]-d[i].se;
    ud2[es[i+1]]=d2[now][1]-d[i+1].se;
    now++;
  }
  if(th[a]) return {a,0};
  else if(d.size()) return {d[0].fi,d[0].se+ud2[es[0]]};
  else return {-1,-1};
}
vector<pair<int,int>> g3[1010101];
int al=-1;
int rt[1010101];
vector<int> ok;
int ho=0;
void dfs4(int a,int b,HLD &hld){
  if(al==-1){
    ok.pb(a);
    al=a;
  }
  for(auto e:g3[a]){
    int c=e.fi,i=e.se;
    if(c==b) continue;
    if(hld.lca(al,hld.lca(c,a))==al){
      if(ask[i].fi==c) rt[c]=rt[a]+d1[i][0]-d1[i][1];
      else rt[c]=rt[a]-d1[i][0]+d1[i][1];
    }
    else{
      al=hld.lca(c,a);
      int pl=-(rt[a]+ho);
      if(ask[i].fi==a) pl+=d1[i][0];
      else pl+=d1[i][1];
      ho+=pl;
      if(ask[i].fi==c) rt[c]=d1[i][0]-ho;
      else rt[c]=d1[i][1]-ho;
    }
    ok.pb(c);
    dfs4(c,a,hld);
  }
}
int main(){
  //cincout();
  int n,k,q,t;
  cin>>n>>k>>q>>t;
  int r1,r2;
  vector<int> p1(n),p2(n);
  vcin(p1);
  vcin(p2);
  g1.resize(n);
  g2.resize(n);
  for(auto &e:p1){
    if(e!=-1) e--;
  }
  for(auto &e:p2){
    if(e!=-1) e--;
  }
  for(int i=0;i<n;i++){
    if(p1[i]==-1) r1=i;
    else{
      g1[p1[i]].pb(i);
      g1[i].pb(p1[i]);
    }
    if(p2[i]==-1) r2=i;
    else{
      g2[p2[i]].pb(i);
      g2[i].pb(p2[i]);
    }
  }
  HLD hld1(g1,r1),hld2(g2,r2);
  re=k;
  dfs(r1,-1);
  for(auto e:v) cout<<e+1<<" ";
  cout<<endl;
  cout.flush();
  for(auto e:v) th[e]++;
  dfs2(r2,-1);
  for(int i=0;i<ask.size();i++){
    g3[ask[i].fi].pb({ask[i].se,i});
    g3[ask[i].se].pb({ask[i].fi,i});
    cout<<"?"<<" "<<ask[i].fi+1<<" "<<ask[i].se+1<<endl;
    cout.flush();
  }
  cout<<"!"<<endl;
  cout.flush();
  vector<int> a(t),b(t);
  for(int i=0;i<k-1;i++) cin>>d1[i][0]>>d1[i][1]>>d2[i][0]>>d2[i][1];
  for(int i=0;i<t;i++) cin>>a[i]>>b[i];
  now=0;
  dfs3(r2,-1);
  for(int i=0;i<n;i++){
    if(g3[i].size()){
      dfs4(i,-1,hld1);
      break;
    }
  }
  for(auto e:ok) rt[e]+=ho;
  for(int i=0;i<n;i++){
    if(th[i]&&i!=r1) ud1[i]=rt[i]-rt[p1[i]];
  }
  for(int i=0;i<n;i++){
    hld1.set(i,ud1[i]);
    hld2.set(i,ud2[i]);
  }
  for(int i=0;i<t;i++){
    a[i]--;
    b[i]--;
    cout<<hld1.prod(a[i],b[i])-ud1[hld1.lca(a[i],b[i])]<<" "<<hld2.prod(a[i],b[i])-ud2[hld2.lca(a[i],b[i])]<<endl;
    cout.flush();
  }
  return 0;
}

Compilation message (stderr)

Main.cpp: In function 'std::pair<int, int> dfs2(int, int)':
Main.cpp:206:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  206 |   for(int i=0;i+1<d.size();i++){
      |               ~~~^~~~~~~~~
Main.cpp: In function 'std::pair<int, int> dfs3(int, int)':
Main.cpp:229:18: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  229 |   for(int i=0;i+1<d.size();i++){
      |               ~~~^~~~~~~~~
Main.cpp: In function 'int main()':
Main.cpp:305:16: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::pair<int, int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  305 |   for(int i=0;i<ask.size();i++){
      |               ~^~~~~~~~~~~
Main.cpp:317:13: warning: 'r2' may be used uninitialized in this function [-Wmaybe-uninitialized]
  317 |   dfs3(r2,-1);
      |             ^
Main.cpp:326:13: warning: 'r1' may be used uninitialized in this function [-Wmaybe-uninitialized]
  326 |     if(th[i]&&i!=r1) ud1[i]=rt[i]-rt[p1[i]];
      |        ~~~~~^~~~~~~

• Subtask 1: 10 / 10
• Subtask 2: 25 / 25
• Subtask 3: 19 / 19
• Subtask 4: 22 / 22
• Subtask 5: 24 / 24