Submission #1092305

#TimeUsernameProblemLanguageResultExecution timeMemory
1092305ortsacRobot (JOI21_ho_t4)C++17
34 / 100
3076 ms135564 KiB
#include <bits/stdc++.h>
 
using namespace std;

#define int long long
#define pii pair<long long, long long>
#define fr first
#define se second

int INF = 0x3f3f3f3f3f3f3f3f;

struct State {
    int v, x;
    bool k;
    State(const int& a = 0, const int& b = 0, const bool& c = 0) : v(a), x(b), k(c) {}
    bool operator < (const State& a) const {
        return (make_pair(v, make_pair(x, k)) < make_pair(a.v, make_pair(a.x, a.k)));
    }
};

struct Edge {
    int to, cor, p;
    Edge(const int& a = 0, const int& b = 0, const int& c = 0) : to(a), cor(b), p(c) {}
};

const int MAXN = 1e5 + 10;
vector<Edge> adj[MAXN];
map<State, int> d;
map<State, bool> vis;
map<State, bool> prop;
map<State, State> dad;

int32_t main() {
    ios_base::sync_with_stdio(false);
    cin.tie(0);
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; i++) {
        int a, b, c, p;
        cin >> a >> b >> c >> p;
        adj[a].push_back(Edge(b, c, p));
        adj[b].push_back(Edge(a, c, p));
    }
    priority_queue<pair<int, State>> pq;
    pq.push(make_pair(0, State(1, 0, 0)));
    vis[State(1, 0, 0)] = 1;
    while (!pq.empty()) {
        auto node = pq.top().second;
        pq.pop();
        if (prop[node]) continue;
        prop[node] = 1;
        map<int, int> somaP;
        for (auto u : adj[node.v]) {
            if (node.k && (u.to == node.x)) continue;
            somaP[u.cor] += u.p;
        }
        for (auto u : adj[node.v]) {
            if (u.to == node.x) continue;
            // sem mudar a cor
            State p1(u.to, node.v, 0);
            int p = (somaP[u.cor] - u.p);
            int dn = d[node];
            int np1 = (dn + p);
            if (!vis[p1]) {
                vis[p1] = 1;
                d[p1] = np1;
                pq.push({-np1, p1});
            } else if (np1 < d[p1]) {
                d[p1] = np1;
                pq.push({-np1, p1});
            }
            // mudando
            State p2(u.to, node.v, 1);
            int np2 = (dn + u.p);
            if (!vis[p2]) {
                vis[p2] = 1;
                d[p2] = np2;
                pq.push({-np2, p2});
            } else if (np2 < d[p2]) {
                d[p2] = np2;
                pq.push({-np2, p2});
            }
        }
    }
    int ans = INF;
    for (int i = 1; i <= n; i++) {
        if (vis[State(n, i, 0)]) ans = min(ans, d[State(n, i, 0)]);
        if (vis[State(n, i, 1)]) ans = min(ans, d[State(n, i, 1)]);
    }
    if (ans == INF) cout << "-1\n";
    else cout << ans << "\n";
}
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