📄 1993.cpp
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/* This Code is Submitted by wywcgs for Problem 1993 on 2006-08-11 at 16:32:30 */
#include <cstdio>
#include <cmath>
#include <algorithm>
using namespace std;
const int N = 8, S = 1 << N;
const double INF = 1e20;
class Point {
public:
int x, y;
void make() { scanf("%d %d", &x, &y); }
double dis(const Point& p) const { return sqrt(1.0*(x-p.x)*(x-p.x)+(y-p.y)*(y-p.y)); }
};
int main()
{
Point p[N+2];
double path[S][N];
int t, T, i, j, k;
scanf("%d", &T);
for(t = 0; t < T; t++) {
for(i = 0; i < N+2; i++) p[i].make();
for(i = 1; i < S; i++)
for(j = 0; j < N; j++)
if(i == (1<<j)) path[i][j] = p[1].dis(p[j+2]);
else if(i&(1<<j)) {
path[i][j] = INF;
int st = i ^ (1 << j);
for(k = 0; k < N; k++)
if(st&(1<<k)) path[i][j] = min(path[i][j], path[st][k]+p[j+2].dis(p[k+2]));
}
double best = INF;
for(i = 0; i < N; i++) best = min(best, path[S-1][i]+p[0].dis(p[i+2]));
printf("%.3lf\n", best+p[0].dis(p[1]));
}
return 0;
}
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