109. Convert Sorted List to Binary Search Tree

本文介绍了一种将已排序的链表转换为高度平衡的二叉搜索树的方法。通过递归地找到链表的中点作为根节点,并将链表分割成左右两部分分别构建左子树和右子树,最终实现从链表到二叉搜索树的高效转换。

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题目地址
和上题108类似,关键在于分割当前链表,记得将左子链表尾部置NULL。

class Solution {
public:
    TreeNode *sortedListToBST(ListNode *head) {
        if (!head) {
            return NULL;
        }
        int size = 0;
        ListNode *p = head;
        while (p) {
            size++;
            p = p->next;
        }
        ListNode *pre = NULL;
        p = head;
        for (int i = 0; i < size / 2; ++i) {
            pre = p;
            p = p->next;
        }
        TreeNode *root = new TreeNode(p->val);
        if (pre) {//有左孩子
            pre->next = NULL;
            root->left = sortedListToBST(head);
        }
        root->right = sortedListToBST(p->next);
        return root;
    }
};
【Solution】 To convert a binary search tree into a sorted circular doubly linked list, we can use the following steps: 1. Inorder traversal of the binary search tree to get the elements in sorted order. 2. Create a doubly linked list and add the elements from the inorder traversal to it. 3. Make the list circular by connecting the head and tail nodes. 4. Return the head node of the circular doubly linked list. Here's the Python code for the solution: ``` class Node: def __init__(self, val): self.val = val self.prev = None self.next = None def tree_to_doubly_list(root): if not root: return None stack = [] cur = root head = None prev = None while cur or stack: while cur: stack.append(cur) cur = cur.left cur = stack.pop() if not head: head = cur if prev: prev.right = cur cur.left = prev prev = cur cur = cur.right head.left = prev prev.right = head return head ``` To verify the accuracy of the code, we can use the following test cases: ``` # Test case 1 # Input: [4,2,5,1,3] # Output: # Binary search tree: # 4 # / \ # 2 5 # / \ # 1 3 # Doubly linked list: 1 <-> 2 <-> 3 <-> 4 <-> 5 # Doubly linked list in reverse order: 5 <-> 4 <-> 3 <-> 2 <-> 1 root = Node(4) root.left = Node(2) root.right = Node(5) root.left.left = Node(1) root.left.right = Node(3) head = tree_to_doubly_list(root) print("Binary search tree:") print_tree(root) print("Doubly linked list:") print_list(head) print("Doubly linked list in reverse order:") print_list_reverse(head) # Test case 2 # Input: [2,1,3] # Output: # Binary search tree: # 2 # / \ # 1 3 # Doubly linked list: 1 <-> 2 <-> 3 # Doubly linked list in reverse order: 3 <-> 2 <-> 1 root = Node(2) root.left = Node(1) root.right = Node(3) head = tree_to_doubly_list(root) print("Binary search tree:") print_tree(root) print("Doubly linked list:") print_list(head) print("Doubly linked list in reverse order:") print_list_reverse(head) ``` The output of the test cases should match the expected output as commented in the code.
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