Submission #512709

#	Time	Username	Problem	Language	Result	Execution time	Memory
512709		fatemetmhr	Port Facility (JOI17_port_facility)	C++17	100 / 100	3739 ms	227624 KiB

port_facility

//  ~Be name khoda~  //

#include<bits/stdc++.h>

#pragma GCC optimize("Ofast")
#pragma GCC optimize("unroll-loops")
#pragma GCC target("avx,avx2,sse,sse2,fma")

using namespace std;

typedef long long ll;

#define pb       push_back
#define mp       make_pair
#define all(x)   x.begin(), x.end()
#define fi       first
#define se       second
#define cl       clear
#define endll    '\n'

const int maxn  =  1e6   + 10;
const int maxn5 =  1e6   + 10;
const int maxnt =  4e6   + 10;
const int maxn3 =  1e3   + 10;
const int mod   =  1e9   +  7;
const ll  inf   =  2e18;

vector <int> have, adj2[maxn5], adjj;
int ty[maxn5], a[maxn5], b[maxn5];
int per1[maxn5], per2[maxn5];
int per1c[maxn5], per2c[maxn5];
bool mark[maxn5];
int mx[maxnt], mn[maxnt], val1[maxn5], val2[maxn5];
vector <pair<int, int>> av;
set <pair<int, int>> seg;

int n;

inline bool cmp3(int i, int j){return a[i] < a[j];}
inline bool cmp4(int i, int j){return b[i] < b[j];}

inline int best(int i, int j){
	if(i == -1)
		return j;
	if(j == -1)
		return i;
	if(val1[i] < val1[j])
		return j;
	return i;
}
inline int worst(int i, int j){
	if(i == -1)
		return j;
	if(j == -1)
		return i;
	if(val2[i] > val2[j])
		return j;
	return i;
}

inline void build1(int l, int r, int v){
	if(r - l == 1){
		mx[v] = per1[l];
		return;
	}
	int mid = (l + r) >> 1;
	build1(l, mid, v * 2);
	build1(mid, r, v * 2 + 1);
	mx[v] = best(mx[v * 2], mx[v * 2 + 1]);
	return;
}

inline void build2(int l, int r, int v){
	if(r - l == 1){
		mn[v] = per2[l];
		return;
	}
	int mid = (l + r) >> 1;
	build2(l, mid, v * 2);
	build2(mid, r, v * 2 + 1);
	mn[v] = worst(mn[v * 2], mn[v * 2 + 1]);
	return;
}

inline void get_max(int l, int r, int lq, int rq, int val, int v){
	//cout << "aha " << l << ' ' << r << ' ' << lq << ' ' << rq << ' ' << val << endl;
	if(rq <= l || r <= lq || val1[mx[v]] < val)
		return;
	if(r - l == 1){
		adjj.pb(per1[l]);
		val1[per1[l]] = -1;
		return;
	}
	int mid = (l + r) >> 1;
	get_max(l, mid, lq, rq, val, v * 2);
	get_max(mid, r, lq, rq, val, v * 2 + 1);
	mx[v] = best(mx[v * 2], mx[v * 2 + 1]);
	//cout << "ok " << l << ' ' << r << ' ' << ans1 << ' ' << ans2 << endl;
	return;
}

inline void get_min(int l, int r, int lq, int rq, int val, int v){
	if(rq <= l || r <= lq || val2[mn[v]] > val)
		return;
	if(r - l == 1){
		adjj.pb(per2[l]);
		val2[per2[l]] = 2 * maxn5;
		return;
	}
	int mid = (l + r) >> 1;
	get_min(l, mid, lq, rq, val, v * 2);
	get_min(mid, r, lq, rq, val, v * 2 + 1);
	mn[v] = worst(mn[v * 2], mn[v * 2 + 1]);
	//cout << "comn " << l << ' ' << r << ' ' << ans1 << ' ' << ans2 << endl;
	return;
}

inline int idof1(int val){
	int p = lower_bound(per1c, per1c + n, val) - per1c;
	return p;
}

inline int idof2(int val){
	int p = lower_bound(per2c, per2c + n, val) - per2c;
	return p;
}

inline void dfs2(int v){
	mark[v] = true;
	//cout << "ahay " << v << endl;
	int l = idof1(a[v] + 1), r = idof1(b[v] + 1);
	adjj.clear();
	get_max(0, n, l, r, b[v], 1);
	for(auto u : adjj){
		if(!mark[u]){
			adj2[u].pb(v);
			adj2[v].pb(u);
		}
	}
	
	l = idof2(a[v]);
	r = idof2(b[v]);
	adjj.clear();
	get_min(0, n, l, r, a[v], 1);
	for(auto u : adjj){
		if(!mark[u]){
			adj2[u].pb(v);
			adj2[v].pb(u);
		}
	}

	for(auto u : adj2[v]){
		//cout << "ajab " << v << ' ' << u << endl;
		if(!mark[u])
			dfs2(u);
	}
	return;
}

inline void dfs(int v){
	mark[v] = true;
	for(auto u : adj2[v]) if(!mark[u]){
		ty[u] = (ty[v] ^ 1);
		dfs(u);
	}
	return;
}

inline void check(){
	av.clear();
	//cout << "starting ... " << endl;
	for(auto i : have){
		mark[i] = false;
		av.pb({a[i], i});
		av.pb({b[i], i});
		//cout << "aha " << i << endl;
	}
	sort(all(av));
	seg.clear();
	for(auto [u, i] : av){
		if(u == a[i]){
			seg.insert({a[i], i});
		}
		else{
			seg.erase({a[i], i});
			auto it = seg.lower_bound(mp(a[i], 0));
			if(it != seg.end()){
				assert(true);
				cout << 0 << endl;
				exit(0);
			}
		}
	}
	return;
}

int main()
{
	ios_base::sync_with_stdio(false);cin.tie(0);cout.tie(0);
	cin >> n;

	for(int i = 0; i < n; i++){
		cin >> a[i] >> b[i];
		a[i]--; b[i]--;
		per1[i] = i;
		per2[i] = i;
		val1[i] = b[i];
		val2[i] = a[i];
	}
	sort(per1, per1 + n, cmp3);
	sort(per2, per2 + n, cmp4);
	for(int i = 0; i < n; i++){
		per1c[i] = a[per1[i]];
		per2c[i] = b[per2[i]];
	}
	
	build1(0, n, 1);
	build2(0, n, 1);
	
	for(int i = 0; i < n; i++) if(!mark[i]){
		dfs2(i);
	}
	
	fill(mark, mark + n + 10, false);
	
	int cnt = 0;
	for(int i = 0; i < n; i++) if(!mark[i]){
		ty[i] = 0;
		dfs(i);
		cnt++;
	}
	for(int i = 0; i < n; i++) if(ty[i] == 0){
		have.pb(i);
	}
	check();
	have.clear();
	for(int i = 0; i < n; i++) if(ty[i] == 1)
		have.pb(i);
	check();
	ll ans = 1;
	while(cnt--){
		ans *= 2;
		ans %= mod;
	}
	cout << ans << endl;
}

• Subtask 1: 10 / 10
• Subtask 2: 12 / 12
• Subtask 3: 56 / 56
• Subtask 4: 22 / 22