#include using namespace std; const int INF = 0x3f3f3f3f; const int N = 16; //对于全部的测试点,保证 1<=n<=15, int n; //一共多少个奶酪 double res = INF; //记录最短路径长度,也就是最终的答案 double dis[N][N]; //dis[i][j]记录第i个点到第j的点的距离.这个是预处理的二维数组,防止重复计算,预处理是搜索优化的重要手段 //坐标 struct Point { double x, y; } a[N]; int per[] = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11}; int main() { //老鼠的原始位置 a[0].x = 0, a[0].y = 0; //读入奶酪的坐标 cin >> n; for (int i = 1; i <= n; i++) cin >> a[i].x >> a[i].y; //预处理 for (int i = 0; i < n; i++) for (int j = i + 1; j <= n; j++) { double x1 = a[i].x, y1 = a[i].y, x2 = a[j].x, y2 = a[j].y; dis[j][i] = dis[i][j] = sqrt(abs((x1 - x2) * (x1 - x2)) + abs((y1 - y2) * (y1 - y2))); } //1~n的全排列,计算每一组组合的距离和,找出最小值,也就能过70%的测试点,11个数据是极限 double MIN = INF; do { //计算当前路线下的行走距离 double s = dis[0][per[0]]; for (int i = 0; i < n - 1; i++) s += dis[per[i]][per[i + 1]]; MIN = min(MIN, s); } while (next_permutation(per, per + n)); //输出大吉 printf("%.2f", MIN); return 0; }