import java.util.Scanner;
public class oiergiv {
static class City{
int []x = new int[4];
int []y = new int[4];
int price;
public City(int x1, int y1, int x2, int y2, int x3, int y3, int price) {
x[0] = x1;
y[0] = y1;
x[1] = x2;
y[1] = y2;
x[2] = x3;
y[2] = y3;
double t12 = distance(x1,y1,x2,y2);
double t13 = distance(x1,y1,x3,y3);
double t23 = distance(x2,y2,x3,y3);
//计算另一个机场的坐标
if(Math.abs(t12*t12+t13*t13-t23*t23)<0.000001){
x[3] = x2+x3-x1;
y[3] = y2+y3-y1;
}
if(Math.abs(t12*t12+t23*t23-t13*t13)<0.000001){
x[3] = x1+x3-x2;
y[3] = y1+y3-y2;
}
if(Math.abs(t13*t13+t23*t23-t12*t12)<0.000001){
x[3] = x1+x2-x3;
y[3] = y1+y2-y3;
}
this.price = price;
}
//计算机场之间的距离
private double distance(int x12, int y12, int x22, int y22) {
return Math.sqrt((x22-x12)*(x22-x12)+(y22-y12)*(y22-y12));
}
}
static int s,t,A,B;
public static void main(String[] args){
Scanner sc = new Scanner(System.in);
s = sc.nextInt();
t = sc.nextInt();
A = sc.nextInt();
B = sc.nextInt();
double[][] price = new double[s*4][s*4];//机场图(所有机场都联通,不用赋INF)
City []cities = new City[s];//城市数组
for (int i = 0; i < s; i++) {//下标0-1-2对应1-2-3城市编号
int x1 = sc.nextInt();
int y1 = sc.nextInt();
int x2 = sc.nextInt();
int y2 = sc.nextInt();
int x3 = sc.nextInt();
int y3 = sc.nextInt();
int train_price = sc.nextInt();
City citys = new City(x1, y1, x2, y2, x3, y3, train_price);
cities[i] = citys;//将每个城市封装为一个对象
}
//邻接矩阵存机场图,价格是权值
for(int i = 0;i < s*4;i++){
for(int j = 0;j < s*4;j++){
if(i/4 == j/4){//如果是同城的机场,×的是高铁价格
price[i][j] = dist(cities[i/4].x[i%4],cities[i/4].y[i%4],cities[j/4].x[j%4],cities[j/4].y[j%4])*cities[i/4].price;
}else{//如果是不同城的机场,×的是飞机价格
price[i][j] = dist(cities[i/4].x[i%4],cities[i/4].y[i%4],cities[j/4].x[j%4],cities[j/4].y[j%4])*t;
}
}
}
floyd(price);
//最后还要找出最小值,因为是飞两座城市之间的最小价格,而不是机场之间
double min = price[(A-1)*4][(B-1)*4];
for(int i = (A-1)*4; i < A*4; i++){
for(int j = (B-1)*4; j < B*4; j++){
min = Math.min(price[i][j],min);
}
}
System.out.printf("%.1f", min);
}
public static void floyd(double[][] price){
//floyd的三段for
for (int k = 0; k < s*4; k++) {
for (int i = 0; i < s*4; i++) {
for (int j = 0; j < s*4; j++) {
price[i][j] = Math.min(price[i][j], price[i][k] + price[k][j]);
}
}
}
}
//计算机场之间的距离,计算价格
private static double dist(int x12, int y12, int x22, int y22) {
return Math.sqrt((x22-x12)*(x22-x12)+(y22-y12)*(y22-y12));
}
}
蓝桥杯练习 算法提高 Car的旅行路线 Java
最新推荐文章于 2023-04-22 09:32:34 发布
本文介绍了一种使用Floyd算法优化机场图的方法,通过计算城市间的最短距离并考虑高铁和飞机价格,实现寻找两个城市间飞行成本最低的路径。核心包括City类的创建、邻接矩阵的构建以及Floyd算法的应用。
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