Java每日一练(20230410)
目录
2. 从中序与后序遍历序列构造二叉树 🌟🌟
3. 平衡二叉树 🌟
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1. 二叉树的锯齿形层序遍历
给定一个二叉树,返回其节点值的锯齿形层序遍历。(即先从左往右,再从右往左进行下一层遍历,以此类推,层与层之间交替进行)。
例如:给定二叉树 [3,9,20,null,null,15,7]
3
/ \\
9 20
/ \\
15 7
返回锯齿形层序遍历如下:
[ [3], [20,9], [15,7] ]
代码:
public class TreeNode {int val;TreeNode left;TreeNode right;TreeNode(int x) {val = x;}
}
class Solution {public List<List<Integer>> zigzagLevelOrder(TreeNode root) {List<List<Integer>> list = new LinkedList<>();if (root == null) {return list;}Stack<TreeNode> stack1 = new Stack<>();stack1.push(root);boolean postive = true;while (!stack1.isEmpty()) {Stack<TreeNode> stack2 = new Stack<>();List<Integer> subList = new LinkedList<>();while (!stack1.isEmpty()) {TreeNode current = stack1.pop();subList.add(current.val);if (postive) {if (current.left != null) {stack2.push(current.left);}if (current.right != null) {stack2.push(current.right);}} else {if (current.right != null) {stack2.push(current.right);}if (current.left != null) {stack2.push(current.left);}}}postive = !postive;stack1 = stack2;list.add(subList);}return list;}
}
2. 从中序与后序遍历序列构造二叉树
根据一棵树的中序遍历与后序遍历构造二叉树。
注意:
你可以假设树中没有重复的元素。
例如,给出
中序遍历 inorder = [9,3,15,20,7] 后序遍历 postorder = [9,15,7,20,3]
返回如下的二叉树:
3/ \\9 20/ \\ 15 7
import java.util.*;
public class buildTreefrominpost {public class TreeNode {int val;TreeNode left;TreeNode right;TreeNode(int x) {val = x;}}public static class Solution {public TreeNode buildTree(int[] inorder, int[] postorder) {return helper(inorder, postorder, postorder.length - 1, 0, inorder.length - 1);}public TreeNode helper(int[] inorder, int[] postorder, int postEnd, int inStart, int inEnd) {if (inStart > inEnd) {return null;}int currentVal = postorder[postEnd];TreeNode current = new TreeNode(currentVal);int inIndex = 0;for (int i = inStart; i <= inEnd; i++) {if (inorder[i] == currentVal) {inIndex = i;}}TreeNode left = helper(inorder, postorder, postEnd - (inEnd - inIndex) - 1, inStart, inIndex - 1);TreeNode right = helper(inorder, postorder, postEnd - 1, inIndex + 1, inEnd);current.left = left;current.right = right;return current;}}public static void main(String[] args) {Solution s = new Solution();System.out.println(s.buildTree(2));}
}
3. 平衡二叉树
给定一个二叉树,判断它是否是高度平衡的二叉树。
本题中,一棵高度平衡二叉树定义为:
一个二叉树每个节点 的左右两个子树的高度差的绝对值不超过 1 。
示例 1:
输入:root = [3,9,20,null,null,15,7] 输出:true
示例 2:
输入:root = [1,2,2,3,3,null,null,4,4] 输出:false
示例 3:
输入:root = [] 输出:true
提示:
- 树中的节点数在范围
[0, 5000]
内 -104 <= Node.val <= 104
class TreeNode {int val;TreeNode left;TreeNode right;TreeNode(int x) {val = x;}
}
public class Solution {public boolean isBalanced(TreeNode root) {if (root == null) {return true;}return (Math.abs(maxDepth(root.left) - maxDepth(root.right)) <= 1) && isBalanced(root.left)&& isBalanced(root.right);}public int maxDepth(TreeNode root) {if (root == null) {return 0;}return Math.max(maxDepth(root.left), maxDepth(root.right)) + 1;}
}
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