查找链表是否包含循环的算法
迭代链表时使用快速和慢速两个指针。快速指针在每次迭代中移动两个节点,而慢速指针移动到一个节点。如果链表包含循环或循环,那么在迭代过程中,快指针和慢指针都会在某个点上相遇。如果它们不相交,并且快速或慢速将指向空,那么链表就不是循环的,它不包含任何循环。这是精确的算法
1)使用快速和慢速两个指针
2)每次迭代快速移动两个节点,慢速移动一个节点
3)如果快速和慢速相遇,则链表包含循环
4)如果fast指向空或fast.next指向空,则链表不是循环的。
下一部分包含Java程序来检查链表是否包含循环,这是上述算法的精确实现。该算法也被称为Floyd的循环查找算法,通常被称为Tortoise and Hare算法,用于查找链表中的循环。
Java程序检查链表是否为循环
这个Java程序使用LinkedList(不Java.UTI.LIKEDLIST)和链表的前一个节点类,修改了添加ToStTrn()方法和AppEntoTead()方法。另外,链表的iscyclic()方法用于实现逻辑,以确定链表是否包含循环。随后is cyclic()如果链表是循环的,则返回true,否则返回false。
<font><i>/* * Java class to represent linked list data structure. */</i></font><font> <b>public</b> <b>class</b> LinkedList { <b>private</b> Node head; <b>public</b> LinkedList() { <b>this</b>.head = <b>new</b> Node(</font><font>"head"</font><font>); } <b>public</b> Node head() { <b>return</b> head;} <b>public</b> <b>void</b> appendIntoTail(Node node) { Node current = head; </font><font><i>//find last element of LinkedList i.e. tail</i></font><font> <b>while</b>(current.next() != <b>null</b>){ current = current.next(); } </font><font><i>//appending new node to tail in LinkedList</i></font><font> current.setNext(node); } </font><font><i>/* * If singly LinkedList contains Cycle then following would be true * 1) slow and fast will point to same node i.e. they meet * On the other hand if fast will point to null or next node of * fast will point to null then LinkedList does not contains cycle. */</i></font><font> <b>public</b> <b>boolean</b> isCyclic(){ Node fast = head; Node slow = head; <b>while</b>(fast!= <b>null</b> && fast.next != <b>null</b>){ fast = fast.next.next; slow = slow.next; </font><font><i>//if fast and slow pointers are meeting then LinkedList is cyclic</i></font><font> <b>if</b>(fast == slow ){ <b>return</b> <b>true</b>; } } <b>return</b> false; } @Override <b>public</b> String toString(){ StringBuilder sb = <b>new</b> StringBuilder(); Node current = head.next(); <b>while</b>(current != <b>null</b>){ sb.append(current).append(</font><font>"-->"</font><font>); current = current.next(); } sb.delete(sb.length() - 3, sb.length()); </font><font><i>// to remove --> from last node</i></font><font> <b>return</b> sb.toString(); } <b>public</b> <b>static</b> <b>class</b> Node { <b>private</b> Node next; <b>private</b> String data; <b>public</b> Node(String data) { <b>this</b>.data = data; } <b>public</b> String data() { <b>return</b> data; } <b>public</b> <b>void</b> setData(String data) { <b>this</b>.data = data;} <b>public</b> Node next() { <b>return</b> next; } <b>public</b> <b>void</b> setNext(Node next) { <b>this</b>.next = next; } @Override <b>public</b> String toString() { <b>return</b> <b>this</b>.data; } } } </font>
测试循环的链表
在本节中,我们将使用带有两个链表的Java main方法测试,一个包含循环而另一个不循环。 您甚至可以为isCyclic()方法编写JUnit测试用例,以测试不同位置的循环的不同链表。 这是链表不包含任何循环的第一个测试。
<font><i>/** * * Java program to find if LinkedList contains loop or cycle or not. * This example uses two pointer approach to detect cycle in linked list. * Fast pointer moves two node at a time while slow pointer moves one node. * If linked list contains any cycle or loop then both pointer will meet some time. * * @author Javin Paul */</i></font><font> <b>public</b> <b>class</b> LinkedListTest { <b>public</b> <b>static</b> <b>void</b> main(String args[]) { </font><font><i>//creating LinkedList with 5 elements including head</i></font><font> LinkedList linkedList = <b>new</b> LinkedList(); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"101"</font><font>)); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"201"</font><font>)); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"301"</font><font>)); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"401"</font><font>)); System.out.println(</font><font>"Linked List : "</font><font> + linkedList); <b>if</b>(linkedList.isCyclic()){ System.out.println(</font><font>"Linked List is cyclic as it contains cycles or loop"</font><font>); }<b>else</b>{ System.out.println(</font><font>"LinkedList is not cyclic, no loop or cycle found"</font><font>); } } } Output: Linked List : 101-->201-->301-->401 LinkedList is not cyclic, no loop or cycle found </font>
现在让我们改变链表,使其包含循环
<font><i>//creating LinkedList with 5 elements including head</i></font><font> LinkedList linkedList = <b>new</b> LinkedList(); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"101"</font><font>)); LinkedList.Node cycle = <b>new</b> LinkedList.Node(</font><font>"201"</font><font>); linkedList.appendIntoTail(cycle); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"301"</font><font>)); linkedList.appendIntoTail(<b>new</b> LinkedList.Node(</font><font>"401"</font><font>)); linkedList.appendIntoTail(cycle); </font><font><i>//don't call toString method in case of cyclic linked list, it will throw OutOfMemoryError</i></font><font> </font><font><i>//System.out.println("Linked List : " + linkedList);</i></font><font> <b>if</b>(linkedList.isCyclic()){ System.out.println(</font><font>"Linked List is cyclic as it contains cycles or loop"</font><font>); }<b>else</b>{ System.out.println(</font><font>"LinkedList is not cyclic, no loop or cycle found"</font><font>); } Output: Linked List is cyclic as it contains cycles or loop </font>