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-rw-r--r--content/graph/TSP.cpp29
1 files changed, 29 insertions, 0 deletions
diff --git a/content/graph/TSP.cpp b/content/graph/TSP.cpp
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--- /dev/null
+++ b/content/graph/TSP.cpp
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+vector<vector<ll>> dist; // Entfernung zwischen je zwei Punkten.
+
+auto TSP() {
+ int n = sz(dist), m = 1 << n;
+ vector<vector<edge>> dp(n, vector<edge>(m, edge{INF, -1}));
+
+ for (int c = 0; c < n; c++)
+ dp[c][m-1].dist = dist[c][0], dp[c][m-1].to = 0;
+
+ for (int v = m - 2; v >= 0; v--) {
+ for (int c = n - 1; c >= 0; c--) {
+ for (int g = 0; g < n; g++) {
+ if (g != c && !((1 << g) & v)) {
+ if ((dp[g][(v | (1 << g))].dist + dist[c][g]) <
+ dp[c][v].dist) {
+ dp[c][v].dist =
+ dp[g][(v | (1 << g))].dist + dist[c][g];
+ dp[c][v].to = g;
+ }}}}}
+ // return dp[0][1]; // Länge der Tour
+
+ vector<int> tour = {0};
+ int v = 0;
+ while (tour.back() != 0 || sz(tour) == 1)
+ tour.push_back(dp[tour.back()]
+ [(v |= (1 << tour.back()))].to);
+ // Enthält Knoten 0 zweimal. An erster und letzter Position.
+ return tour;
+}