* [找出两个链表的交点](#找出两个链表的交点) * [链表反转](#链表反转) * [归并两个有序的链表](#归并两个有序的链表) * [从有序链表中删除重复节点](#从有序链表中删除重复节点) * [删除链表的倒数第 n 个节点](#删除链表的倒数第-n-个节点) * [交换链表中的相邻结点](#交换链表中的相邻结点) * [链表求和](#链表求和) * [回文链表](#回文链表) * [分隔链表](#分隔链表) * [链表元素按奇偶聚集](#链表元素按奇偶聚集) 链表是空节点,或者有一个值和一个指向下一个链表的指针,因此很多链表问题可以用递归来处理。 # 找出两个链表的交点 [160. Intersection of Two Linked Lists (Easy)](https://leetcode.com/problems/intersection-of-two-linked-lists/description/) ```html A: a1 → a2 ↘ c1 → c2 → c3 ↗ B: b1 → b2 → b3 ``` 要求:时间复杂度为 O(N),空间复杂度为 O(1) 设 A 的长度为 a + c,B 的长度为 b + c,其中 c 为尾部公共部分长度,可知 a + c + b = b + c + a。 当访问 A 链表的指针访问到链表尾部时,令它从链表 B 的头部开始访问链表 B;同样地,当访问 B 链表的指针访问到链表尾部时,令它从链表 A 的头部开始访问链表 A。这样就能控制访问 A 和 B 两个链表的指针能同时访问到交点。 ```java public ListNode getIntersectionNode(ListNode headA, ListNode headB) { ListNode l1 = headA, l2 = headB; while (l1 != l2) { l1 = (l1 == null) ? headB : l1.next; l2 = (l2 == null) ? headA : l2.next; } return l1; } ``` 如果只是判断是否存在交点,那么就是另一个问题,即 [编程之美 3.6]() 的问题。有两种解法: - 把第一个链表的结尾连接到第二个链表的开头,看第二个链表是否存在环; - 或者直接比较两个链表的最后一个节点是否相同。 # 链表反转 [206. Reverse Linked List (Easy)](https://leetcode.com/problems/reverse-linked-list/description/) 递归 ```java public ListNode reverseList(ListNode head) { if (head == null || head.next == null) { return head; } ListNode next = head.next; ListNode newHead = reverseList(next); next.next = head; head.next = null; return newHead; } ``` 头插法 ```java public ListNode reverseList(ListNode head) { ListNode newHead = new ListNode(-1); while (head != null) { ListNode next = head.next; head.next = newHead.next; newHead.next = head; head = next; } return newHead.next; } ``` # 归并两个有序的链表 [21. Merge Two Sorted Lists (Easy)](https://leetcode.com/problems/merge-two-sorted-lists/description/) ```java public ListNode mergeTwoLists(ListNode l1, ListNode l2) { if (l1 == null) return l2; if (l2 == null) return l1; if (l1.val < l2.val) { l1.next = mergeTwoLists(l1.next, l2); return l1; } else { l2.next = mergeTwoLists(l1, l2.next); return l2; } } ``` # 从有序链表中删除重复节点 [83. Remove Duplicates from Sorted List (Easy)](https://leetcode.com/problems/remove-duplicates-from-sorted-list/description/) ```html Given 1->1->2, return 1->2. Given 1->1->2->3->3, return 1->2->3. ``` ```java public ListNode deleteDuplicates(ListNode head) { if (head == null || head.next == null) return head; head.next = deleteDuplicates(head.next); return head.val == head.next.val ? head.next : head; } ``` # 删除链表的倒数第 n 个节点 [19. Remove Nth Node From End of List (Medium)](https://leetcode.com/problems/remove-nth-node-from-end-of-list/description/) ```html Given linked list: 1->2->3->4->5, and n = 2. After removing the second node from the end, the linked list becomes 1->2->3->5. ``` ```java public ListNode removeNthFromEnd(ListNode head, int n) { ListNode fast = head; while (n-- > 0) { fast = fast.next; } if (fast == null) return head.next; ListNode slow = head; while (fast.next != null) { fast = fast.next; slow = slow.next; } slow.next = slow.next.next; return head; } ``` # 交换链表中的相邻结点 [24. Swap Nodes in Pairs (Medium)](https://leetcode.com/problems/swap-nodes-in-pairs/description/) ```html Given 1->2->3->4, you should return the list as 2->1->4->3. ``` 题目要求:不能修改结点的 val 值,O(1) 空间复杂度。 ```java public ListNode swapPairs(ListNode head) { ListNode node = new ListNode(-1); node.next = head; ListNode pre = node; while (pre.next != null && pre.next.next != null) { ListNode l1 = pre.next, l2 = pre.next.next; ListNode next = l2.next; l1.next = next; l2.next = l1; pre.next = l2; pre = l1; } return node.next; } ``` # 链表求和 [445. Add Two Numbers II (Medium)](https://leetcode.com/problems/add-two-numbers-ii/description/) ```html Input: (7 -> 2 -> 4 -> 3) + (5 -> 6 -> 4) Output: 7 -> 8 -> 0 -> 7 ``` 题目要求:不能修改原始链表。 ```java public ListNode addTwoNumbers(ListNode l1, ListNode l2) { Stack l1Stack = buildStack(l1); Stack l2Stack = buildStack(l2); ListNode head = new ListNode(-1); int carry = 0; while (!l1Stack.isEmpty() || !l2Stack.isEmpty() || carry != 0) { int x = l1Stack.isEmpty() ? 0 : l1Stack.pop(); int y = l2Stack.isEmpty() ? 0 : l2Stack.pop(); int sum = x + y + carry; ListNode node = new ListNode(sum % 10); node.next = head.next; head.next = node; carry = sum / 10; } return head.next; } private Stack buildStack(ListNode l) { Stack stack = new Stack<>(); while (l != null) { stack.push(l.val); l = l.next; } return stack; } ``` # 回文链表 [234. Palindrome Linked List (Easy)](https://leetcode.com/problems/palindrome-linked-list/description/) 题目要求:以 O(1) 的空间复杂度来求解。 切成两半,把后半段反转,然后比较两半是否相等。 ```java public boolean isPalindrome(ListNode head) { if (head == null || head.next == null) return true; ListNode slow = head, fast = head.next; while (fast != null && fast.next != null) { slow = slow.next; fast = fast.next.next; } if (fast != null) slow = slow.next; // 偶数节点,让 slow 指向下一个节点 cut(head, slow); // 切成两个链表 return isEqual(head, reverse(slow)); } private void cut(ListNode head, ListNode cutNode) { while (head.next != cutNode) { head = head.next; } head.next = null; } private ListNode reverse(ListNode head) { ListNode newHead = null; while (head != null) { ListNode nextNode = head.next; head.next = newHead; newHead = head; head = nextNode; } return newHead; } private boolean isEqual(ListNode l1, ListNode l2) { while (l1 != null && l2 != null) { if (l1.val != l2.val) return false; l1 = l1.next; l2 = l2.next; } return true; } ``` # 分隔链表 [725. Split Linked List in Parts(Medium)](https://leetcode.com/problems/split-linked-list-in-parts/description/) ```html Input: root = [1, 2, 3, 4, 5, 6, 7, 8, 9, 10], k = 3 Output: [[1, 2, 3, 4], [5, 6, 7], [8, 9, 10]] Explanation: The input has been split into consecutive parts with size difference at most 1, and earlier parts are a larger size than the later parts. ``` 题目描述:把链表分隔成 k 部分,每部分的长度都应该尽可能相同,排在前面的长度应该大于等于后面的。 ```java public ListNode[] splitListToParts(ListNode root, int k) { int N = 0; ListNode cur = root; while (cur != null) { N++; cur = cur.next; } int mod = N % k; int size = N / k; ListNode[] ret = new ListNode[k]; cur = root; for (int i = 0; cur != null && i < k; i++) { ret[i] = cur; int curSize = size + (mod-- > 0 ? 1 : 0); for (int j = 0; j < curSize - 1; j++) { cur = cur.next; } ListNode next = cur.next; cur.next = null; cur = next; } return ret; } ``` # 链表元素按奇偶聚集 [328. Odd Even Linked List (Medium)](https://leetcode.com/problems/odd-even-linked-list/description/) ```html Example: Given 1->2->3->4->5->NULL, return 1->3->5->2->4->NULL. ``` ```java public ListNode oddEvenList(ListNode head) { if (head == null) { return head; } ListNode odd = head, even = head.next, evenHead = even; while (even != null && even.next != null) { odd.next = odd.next.next; odd = odd.next; even.next = even.next.next; even = even.next; } odd.next = evenHead; return head; } ```