Submission #543363

#TimeUsernameProblemLanguageResultExecution timeMemory
543363PixelCatPort Facility (JOI17_port_facility)C++14
78 / 100
1423 ms1048576 KiB
/* code by the cute ~~Dengdualang~~ PixelCat owo */
/*     as cute as nacho neko (aka. my wife)!     */

/*     Nhade stay for a night here               */
/*     183234 deng deng deng pixelcat oops       */
/*     (yang wang yesu)*2                        */
/*     ^ some weird stuff. nvm =w=               */

// #pragma GCC optimize("O4,unroll-loops,no-stack-protector")
// #pragma GCC target("avx,avx2,sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,fma")

#include <bits/stdc++.h>
#pragma pack(0)
#define int LL  //__int128
#define double long double
using namespace std;
using LL = long long;
using LLL = __int128_t;
using uLL = unsigned long long;
using pii = pair<int, int>;

#define For(i, a, b) for (int i = a; i <= b; i++)
#define Fors(i, a, b, s) for (int i = a; i <= b; i += s)
#define Forr(i, a, b) for (int i = a; i >= b; i--)
#define F first
#define S second
#define L(id) (id * 2 + 1)
#define R(id) (id * 2 + 2)
#define LO(x) (x & (-x))

#define eb emplace_back
#define all(x) x.begin(), x.end()
#define sz(x) ((int)x.size())
#define mkp make_pair

// #define MOD (int)(998244353)
#define MOD (int)((LL)1'000'000'007)
#define INF (int)(4e18)
// #define INF 1e9
#define EPS (1e-6)

#ifdef NYAOWO
#include "library/debug.hpp"
inline void USACO(const string &s) {
    cerr << "USACO: " << s << "\n";
}

#else
#define debug(...)
inline void timer() {}
inline void USACO(const string &s) {
    freopen((s + ".in").c_str(), "r", stdin);
    freopen((s + ".out").c_str(), "w", stdout);
}

#endif

inline void NYA() {
    ios::sync_with_stdio(false);
    cin.tie(0);
}
inline int gcd(int a, int b) {
    return __gcd(a, b);
}
inline int lcm(int a, int b) {
    return a / gcd(a, b) * b;
}
int fpow(int b, int p, const int &mod) {
    int ans = 1;
    while (p) {
        if (p & 1) ans = ans * b % mod;
        p >>= 1;
        b = b * b % mod;
    }
    return ans;
}
int fpow(int b, int p) {
    return fpow(b, p, MOD);
}
template <typename T>
inline void chmin(T &_a, const T &_b) {
    if (_b < _a) _a = _b;
}
template <typename T>
inline void chmax(T &_a, const T &_b) {
    if (_b > _a) _a = _b;
}
// mt19937_64 rng(
//     chrono::steady_clock::now().time_since_epoch().count());

struct Node{
    Node *l,*r;
    char tag;
    vector<pair<Node*,char>> adj;
    Node():l(nullptr),r(nullptr),tag(0){}
    Node(const Node* nd){
        if(nd){
            l=nd->l; r=nd->r;
        }else{
            l=r=nullptr;
        }
        tag=0;
    }
};

Node* ptr[1000010];
Node* rt[1000010];

Node* update(Node *ori,int l,int r,int p,int x){
    Node* nd=new Node(ori);
    if(l==r){
        ptr[x]=nd;
        return nd;
    }
    int m=(l+r)/2;
    if(p<=m) nd->l=update(nd->l,l,m,p,x);
    else nd->r=update(nd->r,m+1,r,p,x);
    return nd;
}

void link(Node *seg,int l,int r,Node *nd,int L,int R){
    if(!seg) return;
    if(l>R || r<L) return;
    if(l>=L && r<=R){
        seg->adj.eb(nd,1);
        nd->adj.eb(seg,1);
        return;
    }
    int m=(l+r)/2;
    link(seg->l,l,m,nd,L,R);
    link(seg->r,m+1,r,nd,L,R);
}

bool dfs(Node* nd,int c){
    if(!nd) return true;
    if(nd->tag>=0) return nd->tag==c;
    nd->tag=c;
    bool res=true;
    for(auto &i:nd->adj){
        res=res&&dfs(i.F,(i.S?1-c:c));
    }
    return res;
}

int32_t main() {
    NYA();
    // nyaacho >/////<
    // miku sama bless me >/////<
    int n; cin>>n;
    // assert(n<=2000);
    vector<pii> v(n);
    for(auto &i:v) cin>>i.F>>i.S;
    sort(all(v));
    rt[0]=nullptr;
    For(i,0,n-1){
        rt[i+1]=update(rt[i],1,n*2,v[i].S,i);
        link(rt[i+1],1,n*2,ptr[i],v[i].F+1,v[i].S-1);
    }

    queue<Node*> que;
    For(i,1,n) que.emplace(rt[i]);
    while(!que.empty()){
        auto now=que.front();
        que.pop();
        if(!now) continue;
        if(now->tag<0) continue;

        if(now->l && now->l->tag==0) que.emplace(now->l);
        if(now->r && now->r->tag==0) que.emplace(now->r);

        bool oao=now->tag==2 || (sz(now->adj)>0);
        if(oao){
            if(now->l){
                now->adj.eb(now->l,0);
                now->l->adj.eb(now,0);
                now->l->tag=2;
            }
            if(now->r){
                now->adj.eb(now->r,0);
                now->r->adj.eb(now,0);
                now->r->tag=2;
            }
        }
        if(now->l) chmax(now->l->tag,(char)1);
        if(now->r) chmax(now->r->tag,(char)1);
        now->tag=-1;
    }
    
    int ans=1;
    For(i,0,n-1){
        if(ptr[i]->tag==-1){
            ans+=ans;
            if(ans>=MOD) ans-=MOD;
            if(!dfs(ptr[i],1)) ans=0;
        }
    }
    cout<<ans<<"\n";
    return 0;
}
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