野人传教士问题java
时间: 2023-10-11 17:20:59 浏览: 105
野人传教士问题是一个经典的计算机科学问题,它涉及到如何将三个传教士和三个野人从一岸的河边运送到另一岸,同时保证在任何时候传教士的数量都不少于野人的数量,否则野人会吃掉传教士。这个问题可以用深度优先搜索算法来解决。以下是用Java语言实现的代码示例:
```java
import java.util.ArrayList;
public class MissionariesAndCannibals {
public static void main(String[] args) {
State start = new State(3, 3, true);
State goal = new State(0, 0, false);
ArrayList<State> path = new ArrayList<State>();
if (search(start, goal, path)) {
for (int i = path.size() - 1; i >= 0; i--) {
System.out.println(path.get(i));
}
} else {
System.out.println("No solution found.");
}
}
public static boolean search(State node, State goal, ArrayList<State> path) {
path.add(node);
if (node.equals(goal)) {
return true;
}
for (State child : node.getChildren()) {
if (!path.contains(child) && search(child, goal, path)) {
return true;
}
}
path.remove(node);
return false;
}
public static class State {
int missionaries;
int cannibals;
boolean boat;
public State(int missionaries, int cannibals, boolean boat) {
this.missionaries = missionaries;
this.cannibals = cannibals;
this.boat = boat;
}
public ArrayList<State> getChildren() {
ArrayList<State> children = new ArrayList<State>();
int delta = boat ? -1 : 1;
for (int m = 0; m <= 2; m++) {
for (int c = 0; c <= 2; c++) {
if (m + c >= 1 && m + c <= 2) {
int newMissionaries = missionaries + delta * m;
int newCannibals = cannibals + delta * c;
if (newMissionaries >= 0 && newMissionaries <= 3 && newCannibals >= 0 && newCannibals <= 3
&& (newMissionaries == 0 || newMissionaries >= newCannibals)
&& (newMissionaries == 3 || newMissionaries <= newCannibals)) {
children.add(new State(newMissionaries, newCannibals, !boat));
}
}
}
}
return children;
}
@Override
public boolean equals(Object obj) {
if (obj instanceof State) {
State other = (State) obj;
return missionaries == other.missionaries && cannibals == other.cannibals && boat == other.boat;
} else {
return false;
}
}
@Override
public String toString() {
return "(" + missionaries + "," + cannibals + "," + (boat ? "left" : "right") + ")";
}
}
}
```
在上面的代码中,`State`类表示状态,包括传教士和野人的数量以及船的位置。`getChildren`方法返回当前状态的所有可能子状态。`search`方法使用深度优先搜索算法来搜索从初始状态到目标状态的路径。最后,`main`方法设置初始状态和目标状态,并调用`search`方法来搜索路径。
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