package com.jiucaiyuan.net.algrithm.linked;
import java.util.Stack;
/**
* 【问题】给定一个单项链表的头结点head,请判断该链表是否是回文结构
* 【例子】
* 1——>2——>1,返回true
* 1——>2——>2——>1,返回true
* 15——>6——>15,返回true
* 1——>2——>3,返回false
* 【要求】时间复杂度O(N),空间复杂度O(1)
* 【思路】快慢指针,快指针走到末尾,慢指针走到终点,终点之后遍历时,同时后半段给逆序,然后再遍历前半部分和后半部分,看是否一样
*
* @Author jiucaiyuan 2022/4/4 22:58
* @mail services@jiucaiyuan.net
*/
public class IsPalindrome {
/**
* 使用额外n空间 栈
*
* @param head
* @return
*/
public static boolean isPalindrome(ListNode head) {
print(head);
Stack<ListNode> stack = new Stack<>();
ListNode curr = head;
while (curr != null) {
stack.push(curr);
curr = curr.next;
}
while (head != null) {
if (head.val != stack.pop().val) {
return false;
}
head = head.next;
}
return true;
}
/**
* 使用n/2的额外空间 栈
*
* @param head
* @return
*/
public static boolean isPalindrome2(ListNode head) {
print(head);
if (head == null || head.next == null) {
return true;
}
ListNode right = head.next;
ListNode curr = head;
while (curr.next != null && curr.next.next != null) {
right = right.next;
curr = curr.next.next;
}
Stack<ListNode> stack = new Stack<>();
while (right != null) {
stack.push(right);
right = right.next;
}
while (!stack.isEmpty()) {
if (head.val != stack.pop().val) {
return false;
}
head = head.next;
}
return true;
}
/**
* 使用O(1)的额外空间
*
* @param head
* @return
*/
public static boolean isPalindrome3(ListNode head) {
print(head);
if (head == null || head.next == null) {
return true;
}
ListNode n1 = head;
ListNode n2 = head;
while (n2.next != null && n2.next.next != null) { //find mid node
n1 = n1.next; //n1 to mid
n2 = n2.next.next; //n2 to end
}
//n1 开始逆序
n2 = n1.next; //n2 ——> right part first node
n1.next = null; //mid next ——> null
ListNode n3 = null;
while (n2 != null) {
n3 = n2.next; //n3——>save next node
n2.next = n1; //node of right to convert
n1 = n2;
n2 = n3;
}
//n1 和 n2 从两个链表的头开始处理,检查是否相同
n3 = n1; //n3 ——> save last node
n2 = head; //n2——> left first node
boolean res = true;
while (n1 != null && n2 != null) { // check palindrome
if (n1.val != n2.val) {
res = false;
break;
}
n1 = n1.next; //left to mid
n2 = n2.next; //right to mid
}
//恢复右半部分
n1 = n3.next;
n3.next = null;
while (n1 != null) { //recover list
n2 = n1.next;
n1.next = n3;
n3 = n1;
n1 = n2;
}
return res;
}
public static void main(String[] args) {
ListNode head = new ListNode(0);
ListNode node1 = new ListNode(1);
ListNode node2 = new ListNode(2);
ListNode node3 = new ListNode(1);
ListNode node4 = new ListNode(0);
head.next = node1;
node1.next = node2;
node2.next = node3;
node3.next = node4;
System.out.println(isPalindrome(head) + " vs " + isPalindrome2(head) + " vs " + isPalindrome3(head));
ListNode head2 = new ListNode(0);
ListNode node12 = new ListNode(1);
ListNode node22 = new ListNode(1);
ListNode node32 = new ListNode(0);
head2.next = node12;
node12.next = node22;
node22.next = node32;
System.out.println(isPalindrome(head2) + " vs " + isPalindrome2(head2) + " vs " + isPalindrome3(head2));
ListNode head02 = new ListNode(0);
ListNode node012 = new ListNode(1);
ListNode node022 = new ListNode(2);
ListNode node032 = new ListNode(0);
head02.next = node012;
node012.next = node022;
node022.next = node032;
System.out.println(isPalindrome(head02) + " vs " + isPalindrome2(head02) + " vs " + isPalindrome3(head02));
}
public static void print(ListNode head) {
ListNode curr = head;
while (curr != null) {
System.out.print("\t" + curr.val);
curr = curr.next;
}
System.out.println();
}
}