This article brings you relevant knowledge about java, which mainly introduces the relevant content about sequence tables and linked lists. The sequence table is an array, which is stored continuously with a physical address. The unit stores the linear structure of data elements in sequence. Let’s take a look at it. I hope it will be helpful to everyone.
Recommended study: "java video tutorial"
A linear list is a finite sequence of n data elements with the same characteristics. Linear tables are a data structure widely used in practice. Common linear tables: sequential lists, linked lists, stacks, queues, strings...
Linear tables are logically linear structures, that is to say A continuous straight line. However, the physical structure is not necessarily continuous. When linear tables are physically stored, they are usually stored in the form of arrays and linked structures.
is actually an array. [Add, delete, check and modify] Then why do you still write a sequence table? Just use an array directly? It's different. If you write it into a class, you can become object-oriented in the future.
The sequence table is a linear structure that uses a storage unit with a continuous physical address to store data elements in sequence. Generally, array storage is used. Complete the addition, deletion, checking and modification of data on the array.Sequence tables can generally be divided into:
public class MyArrayList { public int[] elem; public int usedSize;//有效的数据个数 public MyArrayList() { this.elem = new int[10]; } // 打印顺序表public void display() { } System.out.println();}// 获取顺序表长度public int size() { return 0;}// 在 pos 位置新增元素public void add(int pos, int data) {}// 判定是否包含某个元素public boolean contains(int toFind) { return true;}// 查找某个元素对应的位置public int search(int toFind) { return -1;}// 获取 pos 位置的元素public int getPos(int pos) { return -1;}// 给 pos 位置的元素设为 valuepublic void setPos(int pos, int value) {}//删除第一次出现的关键字keypublic void remove(int toRemove) {}// 清空顺序表public void clear() {}}This This is the basic structure of our sequence table. Let's dismantle the functions of the sequence table one by one: Print the data table:
public void display() { for (int i = 0; i < this.usedSize; i++) { System.out.print(this.elem[i] + " "); } System.out.println();}Get the length of the sequence table:
public int size() { return this.usedSize;}Add an element at the pos position:
public void add(int pos, int data) { if(pos < 0 || pos > this.usedSize) { System.out.println("pos 位置不合法"); return; } if(isFull()){ this.elem = Arrays.copyOf(this.elem,2*this.elem.length); } for (int i = this.usedSize-1; i >= pos; i--) { this.elem[i + 1] = this.elem[i]; } this.elem[pos] = data; this.usedSize++;}//判断数组元素是否等于有效数据个数public boolean isFull() { return this.usedSize == this.elem.length;}Determine whether an element is included:
public boolean contains(int toFind) { for (int i = 0; i < this.usedSize; i++) { if (this.elem[i] == toFind) { return true; } } return false;}Find the position corresponding to an element:
public int search(int toFind) { for (int i = 0; i < this.usedSize; i++) { if (this.elem[i] == toFind) { return i; } } return -1;}Get the element at the pos position:
public int getPos(int pos) { if (pos < 0 || pos >= this.usedSize){ System.out.println("pos 位置不合法"); return -1;//所以 这里说明一下,业务上的处理,这里不考虑 } if(isEmpty()) { System.out.println("顺序表为空!"); return -1; } return this.elem[pos];}//判断数组链表是否为空public boolean isEmpty() { return this.usedSize == 0;}Give Set the element at pos position to value:
public void setPos(int pos, int value) { if(pos < 0 || pos >= this.usedSize) { System.out.println("pos 位置不合法"); return; } if(isEmpty()) { System.out.println("顺序表为空!"); return; } this.elem[pos] = value;}//判断数组链表是否为空public boolean isEmpty() { return this.usedSize == 0;}Delete the first occurrence of the keyword key:
public void remove(int toRemove) { if(isEmpty()) { System.out.println("顺序表为空!"); return; } int index = search(toRemove);//index记录删除元素的位置 if(index == -1) { System.out.println("没有你要删除的数字!"); } for (int i = index; i < this.usedSize - 1; i++) { this.elem[i] = this.elem[i + 1]; } this.usedSize--; //this.elem[usedSize] = null;引用数组必须这样做才可以删除}Clear the sequence list:
public void clear() { this.usedSize = 0;}
Thinking: How to solve the above problems? The structure of the linked list is given below to take a look.
Physical storage structure is non-continuous Storage structure, the logical order of data elements is realized through the reference link order in the linked list.
In reality, the structures of linked lists are very diverse. Generally speaking, there are four types:One-way non-lead non-loop
Two-way non-leading non-loop
虽然有这么多的链表的结构,但是我们重点掌握两种:
head:里面存储的就是第一个节点(头节点)的地址
head.next:存储的就是下一个节点的地址
尾结点:它的next域是一个null
最上面的数字是我们每一个数值自身的地址。
prev:指向前一个元素地址
next:下一个节点地址
data:数据
上面地址为改结点元素的地址
val:数据域
next:下一个结点的地址
head:里面存储的就是第一个结点(头结点)的地址
head.next:存储的就是下一个结点的地址
无头单向非循环链表实现:
class ListNode { public int val; public ListNode next;//ListNode储存的是结点类型 public ListNode (int val) { this.val = val; }}public class MyLinkedList { public ListNode head;//链表的头引用 public void creatList() { ListNode listNode1 = new ListNode(12); ListNode listNode2 = new ListNode(23); ListNode listNode3 = new ListNode(34); ListNode listNode4 = new ListNode(45); ListNode listNode5 = new ListNode(56); listNode1.next = listNode2; listNode2.next = listNode3; listNode3.next = listNode4; listNode4.next = listNode5; this.head = listNode1; } //查找是否包含关键字key是否在单链表当中 public boolean contains(int key) { return true; } //得到单链表的长度 public int size(){ return -1; } //头插法 public void addFirst(int data) { } //尾插法 public void addLast(int data) { } //任意位置插入,第一个数据节点为0号下标 public boolean addIndex(int index,int data) { return true; } //删除第一次出现关键字为key的节点 public void remove(int key) { } //删除所有值为key的节点 public ListNode removeAllKey(int key) { } //打印链表中的所有元素 public void display() { } //清除链表中所有元素 public void clear() { }}
上面是我们链表的初步结构(未给功能赋相关代码,大家可以复制他们到自己的idea中进行练习,答案在下文中) 这里我们将他们一个一个拿出来实现 并实现!
打印链表中所有元素:
public void display() { ListNode cur = this.head; while(cur != null) { System.out.print(cur.val + " "); cur = cur.next; } System.out.println();}
查找是否包含关键字key是否在单链表当中:
public boolean contains(int key) { ListNode cur = this.head; while (cur != null) { if (cur.val == key) { return true; } cur = cur.next; } return false;}
得到单链表的长度:
public int size(){ int count = 0; ListNode cur = this.head; while (cur != null) { count++; cur = cur.next; } return count;}
头插法(一定要记住 绑定位置时一定要先绑定后面的数据 避免后面数据丢失):
public void addFirst(int data) { ListNode node = new ListNode(data); node.next = this.head; this.head = node; /*if (this.head == null) { this.head = node; } else { node.next = this.head; this.head = node; }*/}
尾插法:
public void addLast(int data) { ListNode node = new ListNode(data); if (this.head == null) { this.head = node; } else { ListNode cur = this.head; while (cur.next != null) { cur = cur.next; } cur.next = node; }}
任意位置插入,第一个数据结点为0号下标(插入到index后面一个位置):
/** * 找到index - 1位置的节点的地址 * @param index * @return */public ListNode findIndex(int index) { ListNode cur = this.head; while (index - 1 != 0) { cur = cur.next; index--; } return cur;}//任意位置插入,第一个数据节点为0号下标public void addIndex(int index,int data) { if(index < 0 || index > size()) { System.out.println("index 位置不合法!"); return; } if(index == 0) { addFirst(data); return; } if(index == size()) { addLast(data); return; } ListNode cur = findIndex(index); ListNode node = new ListNode(data); node.next = cur.next; cur.next = node;}
注意:单向链表找cur时要-1,但双向链表不用 直接返回cur就好
删除第一次出现关键字为key的结点:
/** * 找到 要删除的关键字key的节点 * @param key * @return */public ListNode searchPerv(int key) { ListNode cur = this.head; while(cur.next != null) { if(cur.next.val == key) { return cur; } cur = cur.next; } return null;}//删除第一次出现关键字为key的节点public void remove(int key) { if(this.head == null) { System.out.println("单链表为空"); return; } if(this.head.val == key) { this.head = this.head.next; return; } ListNode cur = searchPerv(key); if(cur == null) { System.out.println("没有你要删除的节点"); return; } ListNode del = cur.next; cur.next = del.next;}
删除所有值为key的结点:
public ListNode removeAllKey(int key) { if(this.head == null) { return null; } ListNode prev = this.head; ListNode cur = this.head.next; while(cur != null) { if(cur.val == key) { prev.next = cur.next; cur = cur.next; } else { prev = cur; cur = cur.next; } } //最后处理头 if(this.head.val == key) { this.head = this.head.next; } return this.head;}
清空链表中所有元素:
public void clear() { while (this.head != null) { ListNode curNext = head.next; head.next = null; head.prev = null; head = curNext; } last = null;}
上面的地址0x888为该结点的地址
val:数据域
prev:上一个结点地址
next:下一个结点地址
head:头结点 一般指向链表的第一个结点
class ListNode { public int val; public ListNode prev; public ListNode next; public ListNode (int val) { this.val = val; }}public class MyLinkedList { public ListNode head;//指向双向链表的头结点 public ListNode last;//只想双向链表的尾结点 //打印链表 public void display() { } //得到单链表的长度 public int size() { return -1; } //查找是否包含关键字key是否在单链表当中 public boolean contains(int key) { return true; } //头插法 public void addFirst(int data) { } //尾插法 public void addLast(int data) { } //删除第一次出现关键字为key的节点 public void remove(int key) { } //删除所有值为key的节点 public void removeAllKey(int key) { } //任意位置插入,第一个数据节点为0号下标 public boolean addIndex(int index,int data) { return true; } //清空链表 public void clear() { }}
上面是我们链表的初步结构(未给功能赋相关代码,大家可以复制他们到自己的idea中进行练习,答案在下文中) 这里我们将他们一个一个拿出来实现 并实现!
打印链表:
public void display() { ListNode cur = this.head; while (cur != null) { System.out.print(cur.val + " "); cur = cur.next; } System.out.println();}
得到单链表的长度:
public int size() { ListNode cur = this.head; int count = 0; while (cur != null) { count++; cur = cur.next; } return count;}
查找是否包含关键字key是否在单链表当中:
public boolean contains(int key) { ListNode cur = this.head; while (cur != null) { if (cur.val == key) { return true; } cur = cur.next; } return false;}
头插法:
public void addFirst(int data) { ListNode node = new ListNode(data); if (this.head == null) { this.head = node; this.last = node; } else { node.next = this.head; this.head.prev = node; this.head = node; }}
尾插法:
public void addLast(int data) { ListNode node = new ListNode(data); if (this.head == null) { this.head = node; this.last = node; } else { ListNode lastPrev = this.last; this.last.next = node; this.last = this.last.next; this.last.prev = lastPrev; /** * 两种方法均可 * this.last.next = node; * node.prev = this.last; * this.last = node; */ }}
注:第一种方法是先让last等于尾结点 再让他的前驱等于上一个地址 而第二种方法是先使插入的尾结点的前驱等于上一个地址 再使其等于尾结点
删除第一次出现关键字为key的结点:
public void remove(int key) { ListNode cur = this.head; while (cur != null) { if (cur.val == key) { if (cur == head) { head = head.next; if (head != null) { head.prev = null; } else { last = null; } } else if (cur == last) { last = last.prev; last.next = null; } else { cur.prev.next = cur.next; cur.next.prev = cur.prev; } return; } cur = cur.next; }}
删除所有值为key的结点:
public void removeAllKey(int key) { ListNode cur = this.head; while (cur != null) { if (cur.val == key) { if (cur == head) { head = head.next; if (head != null) { head.prev = null; } else { last = null; } } else if (cur == last) { last = last.prev; last.next = null; } else { cur.prev.next = cur.next; cur.next.prev = cur.prev; } //return; } cur = cur.next; }}
注:他和remove的区别就是删除完后是不是直接return返回,如果要删除所有的key值则不return,让cur继续往后面走。
任意位置插入,第一个数据节点为0号下标:
public void addIndex(int index,int data) { if (index < 0 || index > size()) { System.out.println("index 位置不合法"); } if (index == 0) { addFirst(data); return; } if (index == size()) { addLast(data); return; } ListNode cur = searchIndex(index); ListNode node = new ListNode(data); node.next = cur; cur.prev.next = node; node.prev = cur.prev; cur.prev = node;}public ListNode searchIndex(int index) { ListNode cur = this.head; while (index != 0) { cur = cur.next; index--; } return cur;}
思路:先判断 在头位置就头插 在尾位置就尾插 在中间就改变四个位置的值。
注意:单向链表找cur时要-1,但双向链表不用 直接返回cur就好
清空链表:
public void clear() { while (this.head != null) { ListNode curNext = head.next; head.next = null; head.prev = null; head = curNext; } last = null;}
这里的
cur = this.head;
prev = null;
curNext = cur.next;
public ListNode reverseList() { if (this.head == null) { return null; } ListNode cur = this.head; ListNode prev = null; while (cur != null) { ListNode curNext = cur.next; cur.next = prev; prev = cur; cur = curNext; } return prev;}
public ListNode middleNode() { if (head == null) { return null; } ListNode fast = head; ListNode slow = head; while (fast != null && fast.next != null) { fast = fast.next.next; if (fast == null) { return slow; } slow = slow.next; } return slow;}
public ListNode findKthToTail(ListNode head,int k) { if (k <= 0 || head == null) { return null; } ListNode fast = head; ListNode slow = head; while (k - 1 != 0) { fast = fast.next; if (fast == null) { return null; } k--; } while (fast.next != null) { fast = fast.next; slow = slow.next; } return slow;}
public static ListNode mergeTwoLists(ListNode headA,ListNode headB) { ListNode newHead = new ListNode(-1); ListNode tmp = newHead; while (headA != null && headB != null) { if(headA.val <headB.val) { tmp.next = headA; headA = headA.next; tmp = tmp.next; } else { tmp.next = headB; headB = headB.next; tmp = tmp.next; } } if (headA != null) { tmp.next = headA; } if (headB != null) { tmp.next = headB; } return newHead.next;}
最后返回的是傀儡结点的下一个 即newHead.next
//按照x和链表中元素的大小来分割链表中的元素public ListNode partition(int x) { ListNode bs = null; ListNode be = null; ListNode as = null; ListNode ae = null; ListNode cur = head; while (cur != null) { if(cur.val < x){ //1、第一次 if (bs == null) { bs = cur; be = cur; } else { //2、不是第一次 be.next = cur; be = be.next; } } else { //1、第一次 if (as == null) { as = cur; as = cur; } else { //2、不是第一次 ae.next = cur; ae = ae.next; } } cur = cur.next; } //预防第1个段为空 if (bs == null) { return as; } be.next = as; //预防第2个段当中的数据,最后一个节点不是空的。 if (as != null) { ae.next = null; } return be;}
public ListNode deleteDuplication() { ListNode cur = head; ListNode newHead = new ListNode(-1); ListNode tmp = newHead; while (cur != null) { if (cur.next != null && cur.val == cur.next.val) { while (cur.next != null && cur.val == cur.next.val) { cur = cur.next; } //多走一步 cur = cur.next; } else { tmp.next = cur; tmp = tmp.next; cur = cur.next; } } //防止最后一个结点的值也是重复的 tmp.next = null; return newHead.next;}
public boolean chkPalindrome(ListNode head) { if (head == null) { return true; } ListNode fast = head; ListNode slow = head; while (fast != null && fast.next != null) { fast = fast.next.next; slow = slow.next; } //slow走到了中间位置 ListNode cur = slow.next; while (cur != null) { ListNode curNext = cur.next; cur.next = slow; slow = cur; cur = curNext; } //反转完成 while (head != slow) { if(head.val != slow.val) { return false; } else { if (head.next == slow) { return true; } head = head.next; slow = slow.next; } return true; } return true;}
他是一个Y字形
public ListNode getIntersectionNode(ListNode headA, ListNode headB) { if (headA == null || headB == null) { return null; } ListNode pl = headA; ListNode ps = headB; int lenA = 0; int lenB = 0; //求lenA的长度 while (pl != null) { lenA++; pl = pl.next; } pl = headA; //求lenB的长度 while (ps != null) { lenB++; ps = ps.next; } ps = headB; int len = lenA - lenB;//差值步 if (len < 0) { pl = headB; ps = headA; len = lenB - lenA; } //1、pl永远指向了最长的链表,ps永远指向了最短的链表 2、求到了插值len步 //pl走差值len步 while (len != 0) { pl = pl.next; len--; } //同时走直到相遇 while (pl != ps) { pl = pl.next; ps = ps.next; } return pl;}
提问:为啥么fast一次走两步,不走三步?
答:如果链表只有两个元素他们则永远相遇不了(如上图的示例2),而且走三步的效率没有走两步的效率高。
public boolean hasCycle(ListNode head) { if (head == null) { return false; } ListNode fast = head; ListNode slow = head; while (fast != null && fast.next != null) { fast = fast.next.next; slow = slow.next; if (fast == slow) { return true; } } return false;}
public ListNode detectCycle(ListNode head) { if (head == null) { return null; } ListNode fast = head; ListNode slow = head; while (fast != null && fast.next != null) { fast = fast.next.next; slow = slow.next; if (fast == slow) { break; } } if (fast == null || fast.next == null) { return null; } fast = head; while (fast != slow) { fast = fast.next; slow = slow.next; } return fast;}
顺序表:一白遮百丑
白:空间连续、支持随机访问
丑:
中间或前面部分的插入删除时间复杂度O(N)
增容的代价比较大。
链表:一(胖黑)毁所有
胖黑:以节点为单位存储,不支持随机访问
所有:
任意位置插入删除时间复杂度为O(1)
没有增容问题,插入一个开辟一个空间。
组织:
1、顺序表底层是一个数组,他是一个逻辑上和物理上都是连续的
2、链表是一个由若干结点组成的一个数据结构,逻辑上是连续的 但是在物理上[内存上]是不一定连续的。
操作:
1、顺序表适合,查找相关的操作,因为可以使用下标,直接获取到某个位置的元素
2、链表适合于,频繁的插入和删除操作。此时不需要像顺序表一样,移动元素。链表的插入 只需要修改指向即可。
3、顺序表还有不好的地方,就是你需要看满不满,满了要扩容,扩容了之后,不一定都能放完。所以,他空间上的利用率不高。
链表随用随取 要一个new一个
而数组则不一样 数组是一开始就确定好的
集合框架当中的两个类
集合框架就是将 所有的数据结构,封装成Java自己的类
以后我们要是用到顺序表了 直接使用ArrayList就可以。
推荐学习:《java视频教程》
The above is the detailed content of Detailed explanation of Java sequence list and linked list with examples. For more information, please follow other related articles on the PHP Chinese website!