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authorSanto Cariotti <santo@dcariotti.me>2023-01-18 23:26:18 +0100
committerSanto Cariotti <santo@dcariotti.me>2023-01-18 23:26:18 +0100
commit26cd07b4d31e09b8b5bacb1c4d1664d93313ca2e (patch)
tree28dae77167839552ebf07fa66898272d47ad5552 /Year_2/Algorithms/dijkstra.cc
parentd703960951d838ce92687a4947581bc09a160f60 (diff)
add dijkstra
Diffstat (limited to 'Year_2/Algorithms/dijkstra.cc')
-rw-r--r--Year_2/Algorithms/dijkstra.cc175
1 files changed, 175 insertions, 0 deletions
diff --git a/Year_2/Algorithms/dijkstra.cc b/Year_2/Algorithms/dijkstra.cc
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+#include <fstream>
+#include <iostream>
+#include <map>
+#include <queue>
+#include <vector>
+#define INF 999999
+
+using namespace std;
+
+template <class K, class H>
+class Graph {
+public:
+ Graph()
+ {
+ }
+
+ ~Graph()
+ {
+ }
+
+ Graph<K, H>*
+ add_node(K x)
+ {
+ auto it = nodes_.find(x);
+
+ if (it == nodes_.end()) {
+ nodes_.insert({ x, vector<pair<K, H>>() });
+ size_++;
+ }
+
+ return this;
+ }
+
+ Graph<K, H>*
+ add_edge(K x, K y, H w)
+ {
+ auto u = nodes_.find(x);
+ auto v = nodes_.find(y);
+
+ if (u != nodes_.end() && v != nodes_.end()) {
+ nodes_[x].push_back({ y, w });
+ }
+
+ return this;
+ }
+
+ size_t
+ dijkstra(K s, K r)
+ {
+ typedef pair<H, K> phk;
+ priority_queue<phk, vector<phk>, greater<phk>> pq;
+
+ auto i = nodes_.find(s);
+ auto j = nodes_.find(r);
+
+ if (i == nodes_.end() || j == nodes_.end()) {
+ return INF;
+ }
+
+ map<K, int> dist;
+
+ pq.push({ 0, s });
+
+ for (const auto& it : nodes_)
+ dist.insert({ it.first, INF });
+
+ dist[s] = 0;
+
+ while (!pq.empty()) {
+ int u = pq.top().second;
+ pq.pop();
+
+ for (auto const& i : nodes_[u]) {
+ int v = i.first;
+ int w = i.second;
+
+ if (dist[v] > dist[u] + w) {
+ dist[v] = dist[u] + w;
+ pq.push({ dist[v], v });
+ }
+ }
+ }
+
+ return dist[r];
+ }
+
+private:
+ size_t size_ { 0 };
+ map<K, vector<pair<K, H>>> nodes_;
+};
+
+int
+main(int argc, char** argv)
+{
+ int tasks = (argc > 1) ? stoi(argv[1]) : 100;
+ int n, m;
+ string buf;
+
+ ifstream fin("input.txt");
+ ofstream fout("output.txt");
+
+ for (int i = 0; i < tasks; ++i) {
+ string t;
+
+ fin >> n >> m >> t;
+
+ Graph<int, int>* g = new Graph<int, int>();
+ if (t == "int") {
+ int k;
+
+ for (int j = 0; j < n; ++j) {
+ fin >> k;
+ g->add_node(k);
+ }
+
+ int n1, n2, w;
+
+ for (int j = 0; j < m; ++j) {
+ fin >> buf;
+ n1 = stoi(buf.substr(1, buf.length()));
+ fin >> buf;
+ n2 = stoi(buf);
+ fin >> buf;
+ w = stoi(buf.substr(0, buf.length() - 1));
+
+ g->add_edge(n1, n2, w);
+ }
+ int s, r;
+ fin >> s >> r;
+
+ auto dist = g->dijkstra(s, r);
+ if (dist == INF)
+ fout << "inf." << endl;
+ else
+ fout << dist << endl;
+
+ } else {
+ double k;
+
+ for (int j = 0; j < n; ++j) {
+ fin >> k;
+ g->add_node(k * 10);
+ }
+
+ double n1, n2;
+ int w;
+
+ for (int j = 0; j < m; ++j) {
+ fin >> buf;
+ n1 = stod(buf.substr(1, buf.length()));
+ fin >> buf;
+ n2 = stod(buf);
+ fin >> buf;
+ w = stoi(buf.substr(0, buf.length() - 1));
+
+ g->add_edge(n1 * 10, n2 * 10, w);
+ }
+
+ double s, r;
+ fin >> s >> r;
+
+ auto dist = g->dijkstra(s * 10, r * 10);
+ if (dist == INF)
+ fout << "inf." << endl;
+ else
+ fout << dist << endl;
+ }
+ delete g;
+ }
+
+ fin.close();
+ fout.close();
+
+ return 0;
+}