Submission #971147

#TimeUsernameProblemLanguageResultExecution timeMemory
971147htphong0909Robot (JOI21_ho_t4)C++17
34 / 100
3036 ms74572 KiB
#include <bits/stdc++.h>
#define int long long
using namespace std;

vector<array<int, 4>> adj[100001];
vector<vector<pair<int, int>>> adj2[100001];
int DP[100001];
int sum[200001];
vector<int> DP2[100001];
int cnt[200001];
map<int, int> hm[100001];

int32_t main()
{
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    //freopen("TEST.in", "r", stdin);
    //freopen("TEST.out", "w", stdout);
    int n, m;
    cin >> n >> m;
    for (int i = 0; i < m; i++)
    {
        int u, v, c, w;
        cin >> u >> v >> c >> w;
        if (!hm[u].count(c)) hm[u][c] = cnt[u]++;
        if (!hm[v].count(c)) hm[v][c] = cnt[v]++;
        adj[u].push_back({v, hm[u][c], w, hm[v][c]});
        adj[v].push_back({u, hm[v][c], w, hm[u][c]});
    }
    for (int i = 1; i <= n; i++)
    {
        DP2[i].assign(cnt[i], (int)1e18);
        adj2[i].resize(cnt[i]);
        for (const auto& [v, c, w, vc] : adj[i]) adj2[i][c].emplace_back(v, w);
    }

    memset(DP, 0x3f, sizeof DP);
    DP[1] = 0;
    priority_queue<array<int, 3>, vector<array<int, 3>>, greater<>> q;
    q.push({DP[1], 1, -1});
    while (!q.empty())
    {
        auto [d, u, pc] = q.top();
        q.pop();
        for (int i = 0; i < cnt[u]; i++) sum[i] = 0;
        for (const array<int, 4>& cur : adj[u]) sum[cur[1]] += cur[2];
        if (DP[u] == d && pc == -1)
        {
            for (const auto& [v, c, w, vc] : adj[u])
            {
                int s = sum[c];
                if (DP[v] > DP[u] + min(w, s - w))
                {
                    DP[v] = DP[u] + min(w, s - w);
                    q.push({DP[v], v, -1});
                }
                if (DP2[v][vc] > DP[u])
                {
                    DP2[v][vc] = DP[u];
                    q.push({DP2[v][vc], v, vc});
                }
            }
        }
        else if (DP2[u][pc] == d)
        {
            int s = sum[pc];
            for (const auto& [v, w] : adj2[u][pc])
            {
                if (DP[v] > DP2[u][pc] + s - w)
                {
                    DP[v] = DP2[u][pc] + s - w;
                    q.push({DP[v], v, -1});
                }
            }
        }
        for (int i = 0; i < cnt[u]; i++) sum[i] = 0;
    }
    if (DP[n] > (int)1e18) cout << -1;
    else cout << DP[n];
    return 0;
}
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