Submission #205547

#TimeUsernameProblemLanguageResultExecution timeMemory
205547coldEr66Port Facility (JOI17_port_facility)C++14
100 / 100
1911 ms131456 KiB
#include <bits/stdc++.h> using namespace std; typedef long long ll; typedef double lf; typedef pair<int,int> ii; #define REP(i,n) for(int i=0;i<n;i++) #define REP1(i,n) for(ll i=1;i<=n;i++) #define RST(i,n) memset(i,n,sizeof i) #define SZ(a) (int)a.size() #define ALL(a) a.begin(),a.end() #define X first #define Y second #define mkp make_pair #define pb push_back #define eb emplace_back #define pob pop_back #ifdef cold66 #define debug(...) do{\ fprintf(stderr,"%s - %d (%s) = ",__PRETTY_FUNCTION__,__LINE__,#__VA_ARGS__);\ _do(__VA_ARGS__);\ }while(0) template<typename T>void _do(T &&_x){cerr<<_x<<endl;} template<typename T,typename ...S> void _do(T &&_x,S &&..._t){cerr<<_x<<", ";_do(_t...);} template<typename _a,typename _b> ostream& operator << (ostream &_s,const pair<_a,_b> &_p){return _s<<"("<<_p.X<<","<<_p.Y<<")";} template<typename It> ostream& _OUTC(ostream &_s,It _ita,It _itb) { _s<<"{"; for(It _it=_ita;_it!=_itb;_it++) { _s<<(_it==_ita?"":",")<<*_it; } _s<<"}"; return _s; } template<typename _a> ostream &operator << (ostream &_s,vector<_a> &_c){return _OUTC(_s,ALL(_c));} template<typename _a> ostream &operator << (ostream &_s,set<_a> &_c){return _OUTC(_s,ALL(_c));} template<typename _a,typename _b> ostream &operator << (ostream &_s,map<_a,_b> &_c){return _OUTC(_s,ALL(_c));} template<typename _t> void pary(_t _a,_t _b){_OUTC(cerr,_a,_b);cerr<<endl;} #define IOS() #else #define debug(...) #define pary(...) #define endl '\n' #define IOS() ios_base::sync_with_stdio(0);cin.tie(0); #endif // cold66 //} template<class T> inline bool chkmax(T &a, const T &b) { return b > a ? a = b, true : false; } template<class T> inline bool chkmin(T &a, const T &b) { return b < a ? a = b, true : false; } template<class T> using MaxHeap = priority_queue<T>; template<class T> using MinHeap = priority_queue<T, vector<T>, greater<T>>; const ll MAXn=1e6+5,MAXlg=__lg(MAXn)+2; const ll MOD=1000000007; const ll INF=0x3f3f3f3f; int n; ii d[MAXn]; int dl[MAXn*2],dr[MAXn*2]; ii mxseg[MAXn*4],mnseg[MAXn*4]; bitset<MAXn> vis; bool col[MAXn]; int id[MAXn*2]; ll mul(ll a,ll b){ return a*b%MOD; } ll fpow(ll a,ll b){ ll ret = 1; while (b) { if (b&1) ret = mul(ret,a); a = mul(a,a); b >>= 1; } return ret; } void build(){ for (int i=2*n-1;i;i--) { mnseg[i] = min(mnseg[i<<1],mnseg[i<<1|1]); mxseg[i] = max(mxseg[i<<1],mxseg[i<<1|1]); } } void mnins(int x,int val){ mnseg[x+2*n].X = val; for (int i=x+2*n;i>1;i>>=1) { mnseg[i>>1] = min(mnseg[i],mnseg[i^1]); } } void mxins(int x,int val){ mxseg[x+2*n].X = val; for (int i=x+2*n;i>1;i>>=1) { mxseg[i>>1] = max(mxseg[i],mxseg[i^1]); } } ii mnqr(int l,int r){ ii ret = ii(2*n,2*n); for (l+=2*n,r+=2*n;l<r;l>>=1,r>>=1) { if (l&1) ret = min(ret,mnseg[l++]); if (r&1) ret = min(ret,mnseg[--r]); } return ret; } ii mxqr(int l,int r){ ii ret = ii(-1,-1); for (l+=2*n,r+=2*n;l<r;l>>=1,r>>=1) { if (l&1) ret = max(ret,mxseg[l++]); if (r&1) ret = max(ret,mxseg[--r]); } return ret; } void gogo(int x){ queue<int> q; q.push(x); mxins(d[x].X,-1), mnins(d[x].Y,2*n); while (SZ(q)) { int cur = q.front(); q.pop(); vis[cur] = true; int l = d[cur].X, r = d[cur].Y; ii tmp = mxqr(l,r+1); while (tmp.X > r) { int nxt = id[tmp.Y]; col[nxt] = !col[cur]; int tl = d[nxt].X, tr = d[nxt].Y; mxins(tl,-1), mnins(tr,2*n); tmp = mxqr(l,r+1); q.push(nxt); } tmp = mnqr(l,r+1); while (tmp.X < l) { int nxt = id[tmp.Y]; col[nxt] = !col[cur]; int tl = d[nxt].X, tr = d[nxt].Y; mxins(tl,-1), mnins(tr,2*n); tmp = mnqr(l,r+1); q.push(nxt); } } } bool chk(){ vector<ii> port(2*n+1); REP (i,n) { port[d[i].X] = ii(i,col[i]); port[d[i].Y] = ii(-i,col[i]); } vector<int> stk[2]; REP (i,2*n) { if (port[i].X >= 0) { stk[port[i].Y].eb(port[i].X); } else { if (stk[port[i].Y].back() != -port[i].X) return false; stk[port[i].Y].pob(); } } return true; } int main(){ IOS(); cin >> n; REP (i,n) { cin >> d[i].X >> d[i].Y; d[i].X--, d[i].Y--; } sort(d,d+n); REP (i,2*n) { dl[i] = -1; dr[i] = 2*n; } REP (i,n) { id[d[i].X] = id[d[i].Y] = i; dl[d[i].X] = d[i].Y; dr[d[i].Y] = d[i].X; } REP (i,2*n) { mxseg[i+2*n] = ii(dl[i],i); mnseg[i+2*n] = ii(dr[i],i); } build(); ll ans = 0; REP (i,n) { if (!vis[i]) { gogo(i); ans++; } } pary(col,col+n); if (chk()) cout << fpow(2LL,ans) << endl; else cout << 0 << endl; }
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