用Java写一个算法:有一个环形的公路,上面共有n站,现在给定了顺时针第站到第i+1站之间的距离(特殊的,也给出了第n站到第1站的距离)。小美想沿着公路第站走到第y站,她想知道最短的距离是多少? 输
以下是使用Java编写的算法,用于计算小美从出发地到目的地的最短距离:
```java
import java.util.Scanner;
public class ShortestDistance {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
// 输入站的数量
int n = scanner.nextInt();
// 输入站之间的距离
int[] distances = new int[n];
for (int i = 0; i < n; i++) {
distances[i] = scanner.nextInt();
}
// 输入出发地和目的地
int x = scanner.nextInt();
int y = scanner.nextInt();
// 计算最短距离
int shortestDistance = calculateShortestDistance(n, distances, x, y);
// 输出最短距离
System.out.println(shortestDistance);
}
private static int calculateShortestDistance(int n, int[] distances, int x, int y) {
int totalDistance = 0;
// 计算从出发地到目的地的顺时针距离
if (x < y) {
for (int i = x - 1; i < y - 1; i++) {
totalDistance += distances[i];
}
} else {
for (int i = x - 1; i < n - 1; i++) {
totalDistance += distances[i];
}
for (int i = 0; i < y - 1; i++) {
totalDistance += distances[i];
}
}
// 计算从目的地到出发地的逆时针距离
int reverseDistance = 0;
if (x > y) {
for (int i = y - 1; i < x - 1; i++) {
reverseDistance += distances[i];
}
} else {
for (int i = y - 1; i < n - 1; i++) {
reverseDistance += distances[i];
}
for (int i = 0; i < x - 1; i++) {
reverseDistance += distances[i];
}
}
// 取最短距离
return Math.min(totalDistance, reverseDistance);
}
}
```
请注意,此算法假设输入的站编号从1开始。
```java
import java.util.Scanner;
public class ShortestDistance {
public static void main(String[] args) {
Scanner scanner = new Scanner(System.in);
// 输入站的数量
int n = scanner.nextInt();
// 输入站之间的距离
int[] distances = new int[n];
for (int i = 0; i < n; i++) {
distances[i] = scanner.nextInt();
}
// 输入出发地和目的地
int x = scanner.nextInt();
int y = scanner.nextInt();
// 计算最短距离
int shortestDistance = calculateShortestDistance(n, distances, x, y);
// 输出最短距离
System.out.println(shortestDistance);
}
private static int calculateShortestDistance(int n, int[] distances, int x, int y) {
int totalDistance = 0;
// 计算从出发地到目的地的顺时针距离
if (x < y) {
for (int i = x - 1; i < y - 1; i++) {
totalDistance += distances[i];
}
} else {
for (int i = x - 1; i < n - 1; i++) {
totalDistance += distances[i];
}
for (int i = 0; i < y - 1; i++) {
totalDistance += distances[i];
}
}
// 计算从目的地到出发地的逆时针距离
int reverseDistance = 0;
if (x > y) {
for (int i = y - 1; i < x - 1; i++) {
reverseDistance += distances[i];
}
} else {
for (int i = y - 1; i < n - 1; i++) {
reverseDistance += distances[i];
}
for (int i = 0; i < x - 1; i++) {
reverseDistance += distances[i];
}
}
// 取最短距离
return Math.min(totalDistance, reverseDistance);
}
}
```
请注意,此算法假设输入的站编号从1开始。