java实现(构建二叉树+层序遍历)

输出二叉树的右视图

http://www.nowcoder.com/questionTerminal/c9480213597e45f4807880c763ddd5f0

1.递归构建二叉树(关键点是找到中序中根节点下标,这里我用HashMap存一下,这样每次查找都是O(1))
2.队列实现层序遍历(每一层维护两个变量,当前层的个数、下一层的个数,从而出队列的时候可以知道最右的元素)
以下是代码:

import java.util.*;
public class Solution {
    //这个方法对建好的二叉树进行层序遍历
    public int[] solve (int[] preOrder, int[] midOrder) {
        // write code here
        int len = preOrder.length;
        TreeNode root = buildTree(preOrder,midOrder);
        Queue<TreeNode> queue = new LinkedList<>();
        queue.add(root);
        List<Integer> resList = new ArrayList<>();
        int count = 1;
        int next = 0;
        while(!queue.isEmpty()){
            for(int i = count; i > 0; i --){
                TreeNode tempTreeNode = queue.poll();
                if(tempTreeNode.left != null){
                    queue.add(tempTreeNode.left);
                    next ++;
                } 
                if(tempTreeNode.right != null) {
                    queue.add(tempTreeNode.right);
                    next ++;
                }
                if(i == 1) resList.add(tempTreeNode.val);
            }
            count = next;
            next = 0;
        }
        int[] resArr = new int[resList.size()];
        for(int i = 0; i < resArr.length; i ++){
            resArr[i] = resList.get(i);
        }
        return resArr;
    }
    //递归构建二叉树
    public TreeNode buildTree(int[] preOrder, int[] inOrder) {
        int len = preOrder.length;
        if(len == 0) return null;
        HashMap<Integer, Integer> mapOfIndex = new HashMap<>();
        for (int i = 0; i < inOrder.length; i++) {
            mapOfIndex.put(inOrder[i], i);
        }
        TreeNode root = treeInit(mapOfIndex, preOrder, 0, len - 1, inOrder, 0, len - 1);
        return root;
    }
    //递归方法
    public TreeNode treeInit(HashMap<Integer, Integer> mapOfIndex,
                             int[] preOrder,
                             int preBegin,
                             int preEnd,
                             int[] midOrder,
                             int midBegin,
                             int midEnd) {
        TreeNode root = new TreeNode(preOrder[preBegin]);
        //关键点:从中序中找到当前层根节点位置,根据这个位置划分左右子树元素
        int indexOfRootInMidOrder = mapOfIndex.get(preOrder[preBegin]);
        int lenOfLeft = indexOfRootInMidOrder - midBegin;
        int lenOfRight = midEnd - indexOfRootInMidOrder;
        TreeNode left = null;
        TreeNode right = null;
        if (lenOfLeft != 0) {
            int preBeginLeft = preBegin + 1;
            int preEndLeft = preBeginLeft + lenOfLeft - 1;
            int midBeginLeft = midBegin;
            int midEndLeft = indexOfRootInMidOrder - 1;
            left = treeInit(mapOfIndex, preOrder, preBeginLeft, preEndLeft, midOrder, midBeginLeft, midEndLeft);
        }
        if (lenOfRight != 0) {
            int preEndRight = preEnd;
            int preBeginRight = preEndRight - lenOfRight + 1;
            int midBeginRight = indexOfRootInMidOrder + 1;
            int midEndRight = midEnd;
            right = treeInit(mapOfIndex, preOrder, preBeginRight, preEndRight, midOrder, midBeginRight, midEndRight);
        }
        root.left = left;
        root.right = right;
        return root;
    }
}
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