From 7871a75254d4374bc4eeaaae9ce66143cd3f6d0e Mon Sep 17 00:00:00 2001 From: mio4 Date: Wed, 16 Sep 2020 10:22:28 +0800 Subject: [PATCH] update --- 09-paper/002/02-Map.md | 77 ++++++++++++++++++++--- 09-paper/002/header.png | Bin 0 -> 47488 bytes 09-paper/002/image-20200916100429192.png | Bin 0 -> 154028 bytes 09-paper/002/image-20200916100853302.png | Bin 0 -> 140653 bytes README.md | 2 +- 5 files changed, 71 insertions(+), 8 deletions(-) create mode 100644 09-paper/002/header.png create mode 100644 09-paper/002/image-20200916100429192.png create mode 100644 09-paper/002/image-20200916100853302.png diff --git a/09-paper/002/02-Map.md b/09-paper/002/02-Map.md index 64a553a..aa19097 100644 --- a/09-paper/002/02-Map.md +++ b/09-paper/002/02-Map.md @@ -2,6 +2,10 @@ ## 0x0 基础知识 +![](header.png) + + + ### 1. 集合体系 Java集合是面试中的重要考点,特别是List和Map接口实现类,属于工作中CRUD最常用的工具,所以经常在面试中出现,用于考察面试者的Java基本功。 @@ -83,27 +87,84 @@ HashMap内部实现细节是面试中最常见的高频考点,除了最基础 ## 0x1 高频面试题 -## 1. +## 1. Hashmap是如何解决哈希碰撞问题的? + +![image-20200916100429192](D:\002-Repository\Java-Gold\09-paper\002\image-20200916100429192.png) + +- JDK1.7中,HashMap就是使用哈希表来存储的。哈希表为解决冲突,可以采用开放地址法和链地址法等来解决问题,Java中HashMap采用了**链地址法**。链地址法,简单来说,就是数组加链表的结合。在每个数组元素上都一个链表结构,当数据被Hash后,得到数组下标,把数据放在对应下标元素的链表上。 +- JDK1.8中,链表长度超过8会转换为红黑树,但本质上也是通过在节点上追加生成链表的方式解决哈希冲突。 + + + +## 2. Map接口各个实现类之间的区别?(HashMap、LinkedHashMap、TreeMap) + +![image-20200916100853302](D:\002-Repository\Java-Gold\09-paper\002\image-20200916100853302.png) + +- Hashtable:**Hashtable是遗留类**,很多映射的常用功能与HashMap类似,不同的是它承自Dictionary类,并且是线程安全的,任一时间只有一个线程能写Hashtable,并发性不如ConcurrentHashMap,因为ConcurrentHashMap引入了分段锁。Hashtable不建议在新代码中使用,不需要线程安全的场合可以用HashMap替换,需要线程安全的场合可以用ConcurrentHashMap替换。 +- LinkedHashMap:LinkedHashMap是HashMap的一个子类,保存了记录的插入顺序,在用Iterator遍历LinkedHashMap时,先得到的记录肯定是先插入的,也可以在构造时带参数,按照访问次序排序。 +- TreeMap:TreeMap实现SortedMap接口,**能够把它保存的记录根据键排序,默认是按键值的升序排序,也可以指定排序的比较器**,当用Iterator遍历TreeMap时,得到的记录是排过序的。如果使用排序的映射,建议使用TreeMap。在使用TreeMap时,key必须实现Comparable接口或者在构造TreeMap传入自定义的Comparator,否则会在运行时抛出java.lang.ClassCastException类型的异常。 +总结:使用Iterator迭代器遍历的时候,HashMap的结果是没有排序的,而TreeMap输出的结果是排好序的。 -## 2. +## 3. HashMap和HashSet的区别? +| HashMap | HashSet | +| ------------------------------------------- | ------------------------------------------------------------ | +| HashMap实现了Map接口 | HashSet实现了Set接口 | +| HashMap储存键值对 | HashSet仅仅存储对象 | +| 使用put()方法将元素放入map中 | 使用add()方法将元素放入set中 | +| HashMap中使用键对象来计算hashcode值 | HashSet使用成员对象来计算hashcode值,对于两个对象来说hashcode可能相同,所以equals()方法用来判断对象的相等性,如果两个对象不同的话,那么返回false | +| HashMap比较快,因为是使用唯一的键来获取对象 | HashSet较HashMap来说比较慢 | -## 3. +## 4. 红黑树转换相关问题 -## 4. +### 4.1 链表->红黑树,为什么是长度为8的时候发生转换? +- 要弄明白这个问题,我们首先要明白为什么要转换,这个问题比较简单,因为Map中桶的元素初始化是链表保存的,其查找性能是O(n),而树结构能将查找性能提升到O(log(n))。当链表长度很小的时候,即使遍历,速度也非常快,但是当链表长度不断变长,肯定会对查询性能有一定的影响,所以才需要转成树。 +- **为什么不是一开始就将其转换为TreeNodes?**而是需要一定节点数才转为TreeNodes,说白了就是trade-off,空间和时间的权衡,下面是HashMap的源码注解: +``` +Because TreeNodes are about twice the size of regular nodes, we use them only when bins contain enough nodes to warrant use (see TREEIFY_THRESHOLD). And when they become too small (due to removal or resizing) they are converted back to plain bins. In usages with well-distributed user hashCodes, tree bins are rarely used. Ideally, under random hashCodes, the frequency of nodes in bins follows a Poisson distribution (http://en.wikipedia.org/wiki/Poisson_distribution) with a parameter of about 0.5 on average for the default resizing threshold of 0.75, although with a large variance because of resizing granularity. Ignoring variance, the expected occurrences of list size k are (exp(-0.5) * pow(0.5, k) / factorial(k)). The first values are: -## 5. +0: 0.60653066 +1: 0.30326533 +2: 0.07581633 +3: 0.01263606 +4: 0.00157952 +5: 0.00015795 +6: 0.00001316 +7: 0.00000094 +8: 0.00000006 +more: less than 1 in ten million +``` +- 理想情况下,在随机哈希代码下,桶中的节点频率遵循泊松分布,文中给出了桶长度k的频率表。 由频率表可以看出,桶的长度超过8的概率非常非常小。所以作者应该是根据概率统计而选择了8作为阀值,由此可见,这个选择是非常严谨和科学的。 +- 另外需要注意的一点是:**链表长度达到8就转成红黑树,当长度降到6就转成普通节点。** +- 总结: + - TreeNodes占用空间是普通Nodes的两倍,为了空间和时间的权衡,为6时红黑树也比链表快,但转换过程消耗和空间消耗不划算 + - 节点的分布频率会遵循泊松分布,链表长度达到8个元素的概率为0.00000006,几乎是不可能事件 + - 提出来回转化的阈值8和6阈值为什么不一样?**至于为什么转化为红黑树的阈值8和转化为链表的阈值6不一样,是为了避免频繁来回转化** -## 6. +### 4.2 既然存在链表转换为红黑树,那么是否存在红黑树转换为链表? + +HashMap在jdk1.8之后引入了红黑树的概念,表示若桶中链表元素超过8时,会自动转化成红黑树;若桶中元素小于等于6时,树结构还原成链表形式。 + +- 红黑树的平均查找长度是log(n),长度为8,查找长度为log(8)=3,链表的平均查找长度为n/2,当长度为8时,平均查找长度为8/2=4,这才有转换成树的必要;链表长度如果是小于等于6,6/2=3,虽然速度也很快的,但是转化为树结构和生成树的时间并不会太短。 +- 还有选择6和8的原因是: + - 中间有个差值7可以防止链表和树之间频繁的转换。假设一下,如果设计成链表个数超过8则链表转换成树结构,链表个数小于8则树结构转换成链表,如果一个HashMap不停的插入、删除元素,链表个数在8左右徘徊,就会频繁的发生树转链表、链表转树,效率会很低。 + + + +## 5. HashMap的负载因子是什么? + + + +## 6. 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