Submission #1066345

#	Time	Username	Problem	Language	Result	Execution time	Memory
1066345		PCTprobability	Joker (BOI20_joker)	C++17	100 / 100	1515 ms	61172 KiB

Joker

#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 = 4000000000000000000ll;
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 weight_UnionFind{
  vector<ll> p;
  vector<ll> sz;
  vector<ll> w;
  vector<vector<vector<ll>>> ch;
  weight_UnionFind(){
  }
  weight_UnionFind(ll n){
    p.resize(n);
    sz.resize(n);
    w.resize(n);
    for(int i=0;i<n;i++){
      p[i]=i,sz[i]=1;
    }
  }
  ll root(ll x){
    while(x!=p[x]) x=p[x];
    return x;
  }
  ll weight(ll x){
    ll cnt=0;
    while(x!=p[x]){
      cnt^=w[x];
      x=p[x];
    }
    return cnt;
  }
  bool canb(ll a,ll b){
    if(root(a)!=root(b)) return true;
    return weight(a)!=weight(b);
  }
  bool merge(ll a,ll b){
    ll we=1;
    we^=weight(a);
    we^=weight(b);
    ch.pb({});
    a=root(a);
    b=root(b);
    if(a==b) return false;
    if(sz[a]<sz[b]) swap(a,b);
    ch.back().pb({2,a,sz[a]});
    sz[a]+=sz[b];
    ch.back().pb({1,b,p[b]});
    p[b]=a;
    ch.back().pb({3,b,w[b]});
    w[b]=we;
    return true;
  }
  void undo(){
    for(auto e:ch.back()){
      if(e[0]==1){
        p[e[1]]=e[2];
      }
      if(e[0]==2){
        sz[e[1]]=e[2];
      }
      if(e[0]==3){
        w[e[1]]=e[2];
      }
    }
    ch.pop_back();
  }
};
int main(){
  cincout();
  ll n,m,q;
  cin>>n>>m>>q;
  vector<ll> a(m),b(m);
  for(int i=0;i<m;i++){
    cin>>a[i]>>b[i];
    a[i]--;
    b[i]--;
  }
  weight_UnionFind uf(n);
  vector<ll> ans(m,m+1);
  ll id=0;
  while(id<m&&uf.canb(a[id],b[id])){
    uf.merge(a[id],b[id]);
    id++;
  }
  if(id==m){
    for(int i=0;i<q;i++){
      cout<<"NO"<<endl;
    }
    return 0;
  }
  while(uf.ch.size()) uf.undo();
  auto solve = [&](ll l,ll r,ll x,ll y,auto& self) -> void {
    //cerr<<l<<" "<<r<<" "<<x<<" "<<y<<endl;
    if(l>r) return;
    ll mid=(l+r)/2;
    for(int i=l;i<=mid-1;i++){
      //cerr<<"M"<<" "<<a[i]<<" "<<b[i]<<endl;
      uf.merge(a[i],b[i]);
    }
    ll v=y;
    while(v>=x&&uf.canb(a[v],b[v])){
      /*for(int i=0;i<n;i++) cerr<<uf.p[i]<<" ";
      cerr<<endl;
      cerr<<"M"<<" "<<a[v]<<" "<<b[v]<<endl;*/
      uf.merge(a[v],b[v]);
      v--;
    }
    for(int i=v+1;i<=y;i++) uf.undo();
    for(int i=l;i<=mid-1;i++) uf.undo();
    for(int i=v+1;i<=y;i++) uf.merge(a[i],b[i]);
    //cerr<<mid<<" "<<v<<endl;
    ans[mid]=v;//v を追加すると奇閉路になる
    self(l,mid-1,x,ans[mid],self);
    for(int i=v+1;i<=y;i++) uf.undo();
    for(int i=l;i<=mid;i++) uf.merge(a[i],b[i]);
    self(mid+1,r,ans[mid],y,self);
    for(int i=l;i<=mid;i++) uf.undo();
  };
  solve(0,min(id,m-1),0,m-1,solve);
  //for(auto e:ans) cout<<e<<" ";
  //cout<<endl;
  for(int i=0;i<q;i++){
    ll l,r;
    cin>>l>>r;
    l--;
    r--;
    cout<<(ans[l]<=r?"NO":"YES")<<endl;
  }
}

• Subtask 1: 6 / 6
• Subtask 2: 8 / 8
• Subtask 3: 25 / 25
• Subtask 4: 10 / 10
• Subtask 5: 22 / 22
• Subtask 6: 29 / 29