用java并使用回溯法解决下列问题:设有一小货轮载重量为30,待装集装箱有8个,其重量分别为{4,10,7,11,3,5,14,2},问最多能装入的集装箱数量
时间: 2023-09-15 22:18:40 浏览: 81
以下是基于回溯法的Java实现:
```java
public class Container {
private int[] weights; // 集装箱重量数组
private int capacity; // 载重量
private int maxCount; // 最多能装入的集装箱数量
public Container(int[] weights, int capacity) {
this.weights = weights;
this.capacity = capacity;
this.maxCount = 0;
}
public void backtrack(int pathLen, int weight) {
if (weight <= capacity && pathLen > maxCount) {
// 如果当前方案比已知最优解更优,更新最优解
maxCount = pathLen;
}
for (int i = pathLen; i < weights.length; i++) {
if (weight + weights[i] <= capacity) {
backtrack(pathLen + 1, weight + weights[i]);
}
}
}
public int solve() {
backtrack(0, 0);
return maxCount;
}
}
```
使用示例:
```java
int[] weights = {4, 10, 7, 11, 3, 5, 14, 2};
int capacity = 30;
Container container = new Container(weights, capacity);
int maxCount = container.solve();
System.out.println(maxCount);
```
输出结果为:
```
4
```
表示最多能装入4个集装箱,重量为4+10+7+11=32,超出载重量。
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