Submission #261203

#TimeUsernameProblemLanguageResultExecution timeMemory
261203amoo_safarTreatment Project (JOI20_treatment)C++17
100 / 100
459 ms28524 KiB
// Zende bad Shoma nasime faghat !
#include <bits/stdc++.h>

#define pb push_back
#define F first
#define S second
#define all(x) x.begin(), x.end()
#define debug(x) cerr << #x << " : " << x << '\n'

using namespace std;

typedef long long ll;
typedef long double ld;
typedef string str;
typedef pair<ll, ll> pll;
typedef pair<int, int> pii;

const ll Mod = 1000000007LL;
const int N = 2e5 + 10;
const ll Inf = 2242545357980376863LL;
const ll Log = 30;
const int Inf2 = 2'000'000'000;

int n, m;
int T[N], L[N], R[N], C[N], mk[N];
int Tc[N];

ll dis[N];

struct Segment {
	pii seg[N << 2];
	Segment (){
		memset(seg, 0, sizeof seg);
	}
	pii Get(int id, int l, int r, int L, int R){
		if(r <= L || R <= l) return pii(Inf2, -1);
		if(l <= L && R <= r) return seg[id];
		int mid = (L + R) >> 1;
		return min(Get(id << 1, l, r, L, mid), Get(id << 1 | 1, l, r, mid, R));
	}
	void Set(int id, int idx, int v, int L, int R){
		if(R - L == 1){
			seg[id] = {v, L};
			return ;
		}
		int mid = (L + R) >> 1;
		if(idx < mid)
			Set(id << 1, idx, v, L, mid);
		else
			Set(id << 1 | 1, idx, v, mid, R);

		seg[id] = min(seg[id << 1], seg[id << 1 | 1]);
	}
};
Segment S1, S2;


bool Edge(int idx, int j){
	if(j == -1) return false;
	if(mk[j]) return false;

	if(T[j] <= T[idx]){
		if(L[j] + (T[idx] - T[j]) <= R[idx] + 1)
			return true;
	}
	if(T[j] > T[idx]){
		if(R[idx] - (T[j] - T[idx]) >= L[j] - 1)
			return true;
	}
	return false;
}

int main(){
	ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
	cin >> n >> m;
	vector<pll> A;
	for(int i = 1; i <= m; i++){
		cin >> T[i] >> L[i] >> R[i] >> C[i];
		A.pb({T[i], i});
	}

	/*
	cerr << "####\n";
	for(int i = 1; i <= m; i++) for(int j = 1; j <= m; j++)
		if(Edge(i, j))
			cerr << i << " -> " << j << '\n';
	cerr << "###\n";
	*/
	sort(all(A));
	for(int i = 0; i < m; i++) Tc[A[i].S] = i;


	ll ans = Inf;
	set<pll> st;
	memset(dis, 31, sizeof dis);
	for(int i = 1; i <= m; i++){
		if(L[i] == 1){
			dis[i] = C[i];
			st.insert({dis[i], i});
			S1.Set(1, Tc[i], Inf2, 0, m);
			S2.Set(1, Tc[i], Inf2, 0, m);
		} else {
			S1.Set(1, Tc[i], L[i] - T[i], 0, m);
			S2.Set(1, Tc[i], L[i] + T[i], 0, m);
		}
	}

	while(!st.empty()){
		int idx = st.begin()->S; 
		st.erase(st.begin());
		//debug(idx);
		/*
		ll mn = Inf, idx = -1;
		for(int i = 1; i <= m; i++){
			if(mk[i]) continue;
			if(dis[i] < mn){
				mn = dis[i];
				idx = i;
			}
		}
		if(idx == -1) break;
		*/
		int RT = Tc[idx];
		//S1.Set(1, RT, Inf, 0, m);
		//S2.Set(1, RT, Inf, 0, m);

		//mk[idx] = 1;
		if(R[idx] == n) ans = min(ans, dis[idx]);

		//debug(idx);
		while(true){
			int al = S1.Get(1, 0, RT, 0, m).S;
			if(al == -1) break;
			int wh = A[al].S;
			//cerr << idx << ' ' << wh << '\n';
			if(!Edge(idx, wh)) break;
			S1.Set(1, Tc[wh], Inf2, 0, m);
			S2.Set(1, Tc[wh], Inf2, 0, m);
			
			mk[wh] = 1;
			dis[wh] = dis[idx] + C[wh];
			st.insert({dis[wh], wh});
		}

		while(true){

			int al = S2.Get(1, RT, m, 0, m).S;
			if(al == -1) break;
			int wh = A[al].S;
			//int wh = A[S2.Get(1, RT, m, 0, m).S].S;
			//cerr << idx << ' ' << wh << '\n';
			if(!Edge(idx, wh)) break;
			S1.Set(1, Tc[wh], Inf2, 0, m);
			S2.Set(1, Tc[wh], Inf2, 0, m);
			
			mk[wh] = 1;
			dis[wh] = dis[idx] + C[wh];
			st.insert({dis[wh], wh});
		}
		/*
		for(int j = 1; j <= m; j++){
			//if(L[j] > R[idx] + 1) continue;
			if(mk[j]) continue;

			if(T[j] <= T[idx]){
				if(L[j] + (T[idx] - T[j]) <= R[idx] + 1)
					dis[j] = min(dis[j], dis[idx] + C[j]);
			}
			if(T[j] > T[idx]){
				if(R[idx] - (T[j] - T[idx]) >= L[j] - 1)
					dis[j] = min(dis[j], dis[idx] + C[j]);
			}
		}
		*/
	}

	if(ans >= Inf) return cout << "-1\n", 0;
	cout << ans << '\n';

	return 0;
}
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