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-rw-r--r--graph/TSP.cpp41
1 files changed, 23 insertions, 18 deletions
diff --git a/graph/TSP.cpp b/graph/TSP.cpp
index 7fba361..0f72766 100644
--- a/graph/TSP.cpp
+++ b/graph/TSP.cpp
@@ -1,23 +1,28 @@
-// Laufzeit: O(n^2*2^n)
-vector<vector<int>> dist; // Entfernung zwischen je zwei Punkten.
-vector<int> TSP() {
- int n = dist.size(), m = 1 << n;
- vector<vector<ii>> dp(n, vector<ii>(m, ii(INF, -1)));
+vector<vector<ll>> dist; // Entfernung zwischen je zwei Punkten.
+
+void 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].first = dist[c][0], dp[c][m-1].second = 0;
+ 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))].first + dist[c][g]) < dp[c][v].first) {
- dp[c][v].first = dp[g][(v | (1 << g))].first + dist[c][g];
- dp[c][v].second = g;
+ 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> res; res.push_back(0); int v = 0;
- while(res.back() != 0 || res.size() == 1) {
- res.push_back(dp[res.back()][(v |= (1 << res.back()))].second);
- }
- return res; // Enthält Knoten 0 zweimal. An erster und letzter Position.
+ vector<int> tour; tour.push_back(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;
}