# 3.4
## 题目
给定两个已排序的表L1和L2,只使用基本的表操作编写计算`L1∩L2`的过程。
## 思路
因为是取交集,所以只要任意一个表为空时,最后结果都返回空。
如果两个表都不为空,则同时遍历两个表,并比较当前元素,当前元素存在两种状态:
- 相等:说明是交集的元素,插入到结果中
- `itemL1 < itemL2`:此时iterL1前进一格
- `itemL1 > itemL2`:此时iterL2前进一格
## 答案
```java
public static <AnyType extends Comparable<? super AnyType>>
void intersection(List<AnyType> L1, List<AnyType> L2, List<AnyType> Intersect) {
ListIterator<AnyType> iterL1 = L1.listIterator();
ListIterator<AnyType> iterL2 = L2.listIterator();
AnyType itemL1 = null, itemL2 = null;
if (iterL1.hasNext() && iterL2.hasNext()) {
itemL1 = iterL1.next();
itemL2 = iterL2.next();
}
while (itemL1 != null && itemL2 != null) {
int compareResult = itemL1.compareTo(itemL2);
if (compareResult == 0) {
Intersect.add(itemL1);
itemL1 = iterL1.hasNext() ? iterL1.next() : null;
itemL2 = iterL2.hasNext() ? iterL2.next() : null;
} else if (compareResule < 0) {
itemL1 = iterL1.hasNext() ? iterL1.next() : null;
} else {
itemL2s = iterL2.hasNext() ? iterL2.next() : null;
}
}
}
```
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温馨提示
逻辑结构:描述数据元素之间的逻辑关系,如线性结构(如数组、链表)、树形结构(如二叉树、堆、B树)、图结构(有向图、无向图等)以及集合和队列等抽象数据类型。 存储结构(物理结构):描述数据在计算机中如何具体存储。例如,数组的连续存储,链表的动态分配节点,树和图的邻接矩阵或邻接表表示等。 基本操作:针对每种数据结构,定义了一系列基本的操作,包括但不限于插入、删除、查找、更新、遍历等,并分析这些操作的时间复杂度和空间复杂度。 算法: 算法设计:研究如何将解决问题的步骤形式化为一系列指令,使得计算机可以执行以求解问题。 算法特性:包括输入、输出、有穷性、确定性和可行性。即一个有效的算法必须能在有限步骤内结束,并且对于给定的输入产生唯一的确定输出。 算法分类:排序算法(如冒泡排序、快速排序、归并排序),查找算法(如顺序查找、二分查找、哈希查找),图论算法(如Dijkstra最短路径算法、Floyd-Warshall算法、Prim最小生成树算法),动态规划,贪心算法,回溯法,分支限界法等。 算法分析:通过数学方法分析算法的时间复杂度(运行时间随数据规模增长的速度)和空间复杂度(所需内存大小)来评估其效率。 学习算法与数据结构不仅有助于理解程序的内部工作原理,更能帮助开发人员编写出高效、稳定和易于维护的软件系统。
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