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-rw-r--r--content/graph/floydWarshall.cpp27
1 files changed, 27 insertions, 0 deletions
diff --git a/content/graph/floydWarshall.cpp b/content/graph/floydWarshall.cpp
new file mode 100644
index 0000000..df096c2
--- /dev/null
+++ b/content/graph/floydWarshall.cpp
@@ -0,0 +1,27 @@
+vector<vector<ll>> dist; // Entfernung zwischen je zwei Punkten.
+vector<vector<int>> next;
+
+void floydWarshall() {
+ next.assign(sz(dist), vector<int>(sz(dist), -1));
+ for (int i = 0; i < sz(dist); i++) {
+ for (int j = 0; j < sz(dist); j++) {
+ if (dist[i][j] < INF) {
+ next[i][j] = j;
+ }}}
+
+ for (int k = 0; k < sz(dist); k++) {
+ for (int i = 0; i < sz(dist); i++) {
+ for (int j = 0; j < sz(dist); j++) {
+ // only needed if dist can be negative
+ if (dist[i][k] == INF || dist[k][j] == INF) continue;
+ if (dist[i][j] > dist[i][k] + dist[k][j]) {
+ dist[i][j] = dist[i][k] + dist[k][j];
+ next[i][j] = next[i][k];
+}}}}}
+
+vector<int> getPath(int u, int v) {
+ if (next[u][v] < 0) return {};
+ vector<int> path = {u};
+ while (u != v) path.push_back(u = next[u][v]);
+ return path; //Pfad u -> v
+}