POJ 1734.Sightseeing trip (Floyd 最小环)

Floyd 最小环模板题

code

/*
floyd最小环,记录路径,时间复杂度O(n^3)
不能处理负环
*/
#include <iostream>
#include <cstring>
using namespace std;
const int INF = 109, maxn = 252645135;
int g[INF][INF], dis[INF][INF], pre[INF][INF];
int ans[INF];
//pr[i][j]记录i到j最短路径的第一个点
int n, m, tem , tol;
int main() {
while (cin >> n >> m) {
tem = maxn;
memset (g, 0xf, sizeof g);
memset (dis, 0xf, sizeof dis);
memset (pre, 0, sizeof pre);
int x, y, z;
for (int i = 1; i <= m; i++) {
cin >> x >> y >> z;
if (z < g[x][y])
dis[x][y] = dis[y][x] = g[x][y] = g[y][x] = z;
pre[x][y] = y, pre[y][x] = x;
}
for (int k = 1; k <= n; k++) {
for (int i = 1; i < k; i++)
for (int j = i + 1; j < k; j++) {
if (tem > dis[i][j] + g[i][k] + g[k][j]) {
tem = dis[i][j] + g[i][k] + g[k][j];
int t = i;
tol = 0;
while (t != 0) {
ans[++tol] = t;
t = pre[t][j];
}
ans[++tol] = k;
}
}
for (int i = 1; i <= n; i++)
for (int j = 1; j <= n; j++)
if (i != j && dis[i][k] + dis[k][j] < dis[i][j]) {
dis[i][j] = dis[i][k] + dis[k][j];
pre[i][j] = pre[i][k];
}
}
if (tem == maxn) cout << "No solution.";
else
for (int i = 1; i <= tol; i++)
cout << ans[i] << ' ';
cout << endl;
}
return 0;
}

  

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