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4289. [PA2012] Tax
https://hydro.ac/d/bzoj/record/63b6c570291ec3514f4e2803
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BZOJ/4289/4289.cpp
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108
BZOJ/4289/4289.cpp
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#include <iostream>
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#include <algorithm>
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#include <functional>
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#include <queue>
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#include <tuple>
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#include <utility>
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#include <vector>
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using std::cin;
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using std::cout;
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const char endl = '\n';
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const int N = 1e5 + 5,
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M = 2e5 + 5;
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const long long INF = 0x3f3f3f3f'3f3f3f3f;
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int n, m, s, t;
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std::vector<std::tuple<int, int, int>> g[N];
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std::vector<std::pair<int, int>> g2[M << 1];
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long long dist[M << 1];
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bool vis[M << 1];
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void dijkstra() {
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std::fill(std::begin(dist), std::end(dist), INF);
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std::fill(std::begin(vis), std::end(vis), false);
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std::priority_queue<std::pair<long long, int>, std::vector<std::pair<long long, int>>, std::greater<>> q;
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q.emplace(0, s);
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dist[s] = 0;
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while (!q.empty()) {
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long long l;
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int u;
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std::tie(l, u) = q.top();
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q.pop();
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if (vis[u]) continue;
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for (auto e : g2[u]) {
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int v = e.first,
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w = e.second;
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if (dist[v] > l + w) {
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dist[v] = l + w;
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q.emplace(dist[v], v);
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}
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}
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vis[u] = true;
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}
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}
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int main() {
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std::ios::sync_with_stdio(false);
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cin.tie(nullptr);
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cin >> n >> m;
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for (int i = 1, u, v, w; i <= m; i++) {
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cin >> u >> v >> w;
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g[u].emplace_back(v, w, i << 1);
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g[v].emplace_back(u, w, i << 1 | 1);
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}
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s = 0, t = 2 * m + 2;
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for (int i = 1; i <= n; i++) {
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std::sort(g[i].begin(), g[i].end(), [](const std::tuple<int, int, int> &lhs, const std::tuple<int, int, int> &rhs) {
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return std::get<1>(lhs) < std::get<1>(rhs);
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});
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for (int j = 0; j < g[i].size(); j++) {
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int v, w, id;
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std::tie(v, w, id) = g[i][j];
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g2[id ^ 1].emplace_back(id, w);
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if (i == 1) {
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g2[s].emplace_back(id, w);
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}
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if (v == n) {
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g2[id].emplace_back(t, w);
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}
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if (j != 0) {
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int w2, id2;
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std::tie(std::ignore, w2, id2) = g[i][j - 1];
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g2[id2].emplace_back(id, w - w2);
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g2[id].emplace_back(id2, 0);
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}
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}
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}
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dijkstra();
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cout << dist[t] << endl;
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return 0;
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}
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