ADT基础(一)—— List,Stack,and Queue

1 List 表示

  • 数组:易于search,难于insert和remove

  • 链表:难于search,易于insert和remove

    //Node类,LinkedList类
    public class LinkedList{
    Node head = null;
    class Node{ //element和next
    object element;
    Node next;
    Node(object e){
    this.element = e;
    }
    }
    //输出链表并获取长度
    int getLength(){
    int length = 0;
    Node tmp = head;
    while(tmp != null){
    length++;
    System.out.println(tmp.data);
    tmp = tmp.next;
    }
    return length;
    }
    //查询element为e的第一个位置
    int getIndex(object e){
    int index = -1;
    Node tmp = head;
    while(tmp!=null){
    index++:
    if(tmp.element == e){
    return index;
    }
    tmp = tmp.next;
    }
    return -1;
    }
    //获取指定位置的element
    object getObject(int index){
    if(index<0||index >= getLength()) //print fault;
    Node tmp = head;
    if(head==null) //print fault;
    for(int i=0;i<index;i++){
    tmp = tmp.next;
    }
    return tmp.element;
    }
    //头插法
    void addHead(object e){
    Node newNode = new Node(e);
    newNode.next = head;
    head = newNode;
    }
    //尾插法
    void addTail(object e){
    Node newNode = new Node(e);
    if(head == null) head = newNode;
    else{
    Node tmp = head;
    while(tmp.next != null){
    tmp = tmp.next;
    }
    tmp.next = newNode;
    }
    }
    //随机节点插入法
    void insert(int index,object e){
    int size = getLength();
    if(index>=size||index<0) //print fault;
    if(index==0) addHead(e);
    else if(index == size-1) addTail(e);
    else{
    Node pre = head;
    Node cur = head.next;
    for(int i=0;i<index-1;i++){
    pre = pre.next;
    cur = cur.next;
    }
    //pre保存索引上一个节点,cur保存索引值当前节点
    Node newNode = new Node(e);
    pre.next = newNode;
    newNode.next = cur;
    }
    }
    //删除头节点
    void deleteHead(){
    if(head == null) return;
    head = head.next;
    }
    //删除尾节点
    void deleteTail(){
    if(head==null) return;
    Node btmp = head;
    Node tmp = btmp.next;
    if(tmp == null){
    head = null;
    return;
    }
    while(tmp.next != null){
    btmp = tmp;
    tmp = tmp.next;
    }
    btmp.next = null;
    }
    //随机删除节点
    void remove(int index){
    int size = getLength();
    if(index<0||index>=size) //print fault;
    if(index == 0) deleteHead();
    else if(index == size-1) deleteTail();
    else{
    Node pre = head;
    for(int i=0;i<index-1;i++){
    pre = pre.next;
    }
    pre.next = pre.next.next;
    }
    }
    }
    //由单链表的增加删除可以看出,链表想要对指定索引进行操作(增加,删除),则必须获取该索引的前一个元素。记住这句话,对链表算法题很有用。

2 Stack表示

  • 后入先出
//栈的链表实现,栈顶在topOfStack,即head处;
//push和pop都在head处
public class StackLi
{
public StackLi( ){ topOfStack = null; }
public boolean isFull( ){ return false; }
public boolean isEmpty( ){ return topOfStack = = null; }
public void makeEmpty( ){ topOfStack = null; }
public void push( object x){
topOfStack = new ListNode(x,topOfStack);
}
public object top(){
if(topOfStack == null) return null;
return topOfStack.element;
}
public void pop() throws Underflow{
if(topOfStack == null) throw new Underflow();
topOfStack = topOfStack.next;
}
public object topAndPop( ){
if(topOfStack == null) return null;
object res = topOfStack.element;
topOfStack = topOfStack.next;
return res;
}
private ListNode topOfStack;
}
//栈的数组实现,栈顶在topOfStack,即在数组n-1位上(假设压入n个元素);
//push和pop依次向后或向前
public class stackAr{
public StackAr( ){
this(DEFAULT_CAPACITY);
}
public StackAr(int capacity){
theArray = new object[capacity];
topOfStack = -1;
}
public boolean isEmpty( ){ return topOfStack == -1; }
public boolean isFull( ){ return topOfStack == theArray.length –1; }
public void makeEmpty( ){ topOfStack = -1; }
public void push( object x ) throws overflow{
if(topOfStack == theArray.length - 1) throw new Overflow();
topOfStack++;
theArray[topOfstack] = x;
}
public object top( ){
if(topOfStack==-1) return null;
return theArray[topOfStack];
}
public void pop( ) throws Underflow{
if(topOfStack == -1) throw new Undewflow();
theArray[topOfStack] == null;
topOfStack--;
}
public object topAndPop( ){
if(topOfStack==-1) return null;
object res = theArray[topOfStack];
theArray[topOfStack] == null;
topOfStack--;
return res;
} private object [ ] theArray;
private int topOfStack;
static final int DEFAULT_CAPACITY = 10;
}

3 Queue表示

  • 插入与删除在不同端,先入先出
//队列的数组实现,在front位删除,在back位插入  front到back由0到n-1
public class QueueAr
{
public QueueAr(){
this(DEFAULT_CAPACITY);
}
public QueueAr( int capacity){
theArray = new Object[capacity];
currentSize = 0;
front = 0;
back = -1;
}
public boolean isEmpty( ){ return currentsize == 0; }
public boolean isfull( ){ return currentSize == theArray.length; }
public Object getfront( )
public void enqueue( Object x ) throw Overflow{
if(currentSize == theArray.length) throw new Overflow();
back++;
if(back == theArray.length) back = 0; //队列满则新元素回到0位插入
theArray[back] = x;
currentSize++;
}
private Object dequeue( ){
if(currentSize == 0) return null;
curretSize--;
object res = theArray[front];
theArray[front] = null;
front++;
if(front == theArray.length) front = 0; //队列删到尾则回到0删除
return res;
} private Object [ ] theArray;
private int currentSize;
private int front; //删除
private int back; //插入 static final int DEFAULT_CAPACITY = 10;
}
//队列的链表实现,front在head
public class LinkedQueue
{
public LinkedQueue(){
this.head = null;
this.tail = null;
this.size = 0;
}
public boolean IsEmpty(){return size==0;}
public boolean IsFull(){return false};
public void add(object x){
if(size==0){
head = new Node(x);
tail = head;
size++;
}else{
tail.next = new Node(x);
tail = tail.next;
size++;
}
} public object delete(){
if(size==0) return null;
object res = head.element;
head = head.next;
if(head == null) tail = null; //head为null,代表已经行进到tail.next,此时为空链表
size--;
return res;
} private Node head;
private Node tail;
private int size;
};

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