二叉树前中后序遍历
来源:力扣(LeetCode)
前序遍历链接:https://leetcode-cn.com/problems/binary-tree-preorder-traversal/
中序遍历链接:https://leetcode-cn.com/problems/binary-tree-inorder-traversal/
后序遍历链接:https://leetcode-cn.com/problems/binary-tree-postorder-traversal/ 题目描述
二叉树的前序遍历节点访问顺序:根节点、左节点、右节点
二叉树的中序遍历节点访问顺序:左节点、根节点、右节点
二叉树的后序遍历节点访问顺序:左节点、右节点、根节点题目分析
二叉树前中后序遍历主要提供了两种方法: 迭代 递归 前序遍历代码实现public class PreOrder { public static void main(String[] args) { PreOrder preOrder = new PreOrder(); // TreeNode root = new TreeNode(1, null, new TreeNode(2, new TreeNode(3), null)); TreeNode root = null; preOrder.preorderTraversal(root); preOrder.preorder2(root); } /** * 迭代算法 * * @param root * @return */ public List preorder2(TreeNode root) { List list = new ArrayList(); if(root == null){ return list; } LinkedList stack = new LinkedList(); stack.add(root); while (!stack.isEmpty()) { TreeNode treeNode = stack.getLast(); list.add(treeNode.val); stack.removeLast(); if (treeNode.right != null) { stack.add(treeNode.right); } if (treeNode.left != null) { stack.add(treeNode.left); } } System.out.println(list); return list; } /** * 递归 * * @param root * @return */ public List preorderTraversal(TreeNode root) { List list = new ArrayList(); order(root, list); System.out.println(list); return list; } private void order(TreeNode root, List list) { if (root == null) { return; } list.add(root.val); if (root.left != null) { order(root.left, list); } if (root.right != null) { order(root.right, list); } } }中序遍历代码实现public class MiddleOrder { public static void main(String[] args) { MiddleOrder preOrder = new MiddleOrder(); TreeNode root = new TreeNode(1, null, new TreeNode(2, new TreeNode(3), null)); // TreeNode root = null; preOrder.preorderTraversal(root); preOrder.preorder2(root); } /** * 迭代算法 * * @param root * @return */ public List preorder2(TreeNode root) { List list = new ArrayList(); if (root == null) { return list; } LinkedList stack = new LinkedList(); while (root != null || !stack.isEmpty()) { while (root != null) { stack.addLast(root); root = root.left; } root = stack.removeLast(); list.add(root.val); root = root.right; } System.out.println(list); return list; } /** * 递归 * * @param root * @return */ public List preorderTraversal(TreeNode root) { List list = new ArrayList(); order(root, list); System.out.println(list); return list; } private void order(TreeNode root, List list) { if (root == null) { return; } if (root.left != null) { order(root.left, list); } list.add(root.val); if (root.right != null) { order(root.right, list); } } }后序遍历代码实现public class AfterOrder { public static void main(String[] args) { AfterOrder preOrder = new AfterOrder(); TreeNode root = new TreeNode(1, null, new TreeNode(2, new TreeNode(3), null)); // TreeNode root = null; preOrder.preorderTraversal(root); preOrder.preorder2(root); } /** * 迭代算法 * * @param root * @return */ public List preorder2(TreeNode root) { List list = new ArrayList(); if (root == null) { return list; } LinkedList stack = new LinkedList(); TreeNode prev = null; while (root != null || !stack.isEmpty()) { while (root != null) { stack.addLast(root); root = root.left; } root = stack.removeLast(); if(root.right == null || root.right == prev){ // 根节点 list.add(root.val); prev = root; root = null; } else { stack.addLast(root); root = root.right; } } System.out.println(list); return list; } /** * 递归 * * @param root * @return */ public List preorderTraversal(TreeNode root) { List list = new ArrayList(); order(root, list); System.out.println(list); return list; } private void order(TreeNode root, List list) { if (root == null) { return; } if (root.left != null) { order(root.left, list); } if (root.right != null) { order(root.right, list); } list.add(root.val); } }二叉树前中后序遍历,两种方法的复杂度时间复杂度:O(n)空间复杂度:O(n)
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