제출 #1160033

#제출 시각아이디문제언어결과실행 시간메모리
1160033mariaclaraEscape Route (JOI21_escape_route)C++20
70 / 100
9076 ms182956 KiB
#include "escape_route.h"
#include<bits/stdc++.h>

using namespace std;

typedef long long ll;
typedef tuple<ll,int,int> trio;
typedef pair<ll,int> pii;
#define all(x) x.begin(), x.end()
#define sz(x) (int)x.size()
#define mk make_pair
#define pb push_back
#define fr first
#define sc second

int n;
ll s, L[100][100], C[100][100], dist[100][100];
vector<trio> query[100];

void pre_calc(int raiz) {
    for(int i = 0; i < n; i++) dist[raiz][i] = -1;
    vector<bool> vis(n);
    dist[raiz][raiz] = 0;

    while(1) {
        ll D = -1;
        int x = -1;
        for(int i = 0; i < n; i++) {
            if(dist[raiz][i] != -1 and !vis[i] and (D == -1 or D > dist[raiz][i])) 
                D = dist[raiz][i], x = i;
        }

        if(x == -1) break;
        vis[x] = 1;

        for(int viz = 0; viz < n; viz++) {
            if(L[x][viz] == 0) continue;
            ll D_viz;
            if(D%s <= C[x][viz] - L[x][viz]) D_viz = D + L[x][viz];
            else D_viz = D + s - D%s + L[x][viz];
            if(dist[raiz][viz] == -1 or dist[raiz][viz] >= D_viz) 
                dist[raiz][viz] = D_viz;
        }
    }
}

vector<ll> dijkstra(int raiz, ll t, ll &min_change) {
    vector<ll> d(n);
    for(int i = 0; i < n; i++) d[i] = -1;
    vector<bool> vis(n);
    d[raiz] = t;

    min_change = s;

    while(1) {
        ll D = -1;
        int x = -1;
        for(int i = 0; i < n; i++) {
            if(d[i] != -1 and !vis[i] and (D == -1 or D > d[i])) 
                D = d[i], x = i;
        }

        if(x == -1) break;
        vis[x] = 1;

        for(int viz = 0; viz < n; viz++) {
            if(L[x][viz] == 0) continue;
            if(D%s > C[x][viz] - L[x][viz]) continue;
            min_change = min(C[x][viz] - L[x][viz] - D%s, min_change); // a partir desse valor a aresta fica inválida
            ll D_viz = D + L[x][viz];
            if(d[viz] == -1 or d[viz] >= D_viz) 
                d[viz] = D_viz;
        }
    }

    return d;
}

vector<ll> calculate_necessary_time(int N, int M, ll S, int Q,
    vector<int> A, vector<int> B, vector<ll> l, vector<ll> c,
    vector<int> U, vector<int> V, vector<ll> T) {

    n = N;
    s = S;

    for(int i = 0; i < M; i++) {
        L[A[i]][B[i]] = L[B[i]][A[i]] = l[i];
        C[A[i]][B[i]] = C[B[i]][A[i]] = c[i];
    }

    for(int i = 0; i < Q; i++)
        query[U[i]].pb({T[i],V[i],i});

    vector<ll> ans(Q, (ll)1e18);

    for(int i = 0; i < N; i++) pre_calc(i);

    for(int raiz = 0; raiz < N; raiz++) {
        sort(all(query[raiz]));
        
        ll min_change = 0, last_t = -1;
        vector<ll> d;

        for(auto [tempo, fim, ind] : query[raiz]) {
            if(last_t + min_change >= tempo) {
                for(int i = 0; i < n; i++)
                    if(d[i] != -1) d[i] += tempo - last_t;
                min_change -= tempo - last_t;
                last_t = tempo;
            }
            else {
                d = dijkstra(raiz, tempo, min_change);
                last_t = tempo;
            }

            if(d[fim] != -1) ans[ind] = d[fim];

            for(int i = 0; i < n; i++) {
                if(d[i] != -1) {
                    ans[ind] = min(ans[ind], d[i] + s - d[i]%s + dist[i][fim]);
                }
            }

            ans[ind] -= tempo;
        }
    }

    return ans;
}
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