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中等
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第 283 场周赛 Q3
数组
哈希表
二叉树

English Version

题目描述

给你一个二维整数数组 descriptions ,其中 descriptions[i] = [parenti, childi, isLefti] 表示 parentichildi二叉树 中的 父节点,二叉树中各节点的值 互不相同 。此外:

  • 如果 isLefti == 1 ,那么 childi 就是 parenti 的左子节点。
  • 如果 isLefti == 0 ,那么 childi 就是 parenti 的右子节点。

请你根据 descriptions 的描述来构造二叉树并返回其 根节点

测试用例会保证可以构造出 有效 的二叉树。

 

示例 1:

输入:descriptions = [[20,15,1],[20,17,0],[50,20,1],[50,80,0],[80,19,1]]
输出:[50,20,80,15,17,19]
解释:根节点是值为 50 的节点,因为它没有父节点。
结果二叉树如上图所示。

示例 2:

输入:descriptions = [[1,2,1],[2,3,0],[3,4,1]]
输出:[1,2,null,null,3,4]
解释:根节点是值为 1 的节点,因为它没有父节点。 
结果二叉树如上图所示。 

 

提示:

  • 1 <= descriptions.length <= 104
  • descriptions[i].length == 3
  • 1 <= parenti, childi <= 105
  • 0 <= isLefti <= 1
  • descriptions 所描述的二叉树是一棵有效二叉树

解法

方法一

Python3

# Definition for a binary tree node.
# class TreeNode:
#     def __init__(self, val=0, left=None, right=None):
#         self.val = val
#         self.left = left
#         self.right = right
class Solution:
    def createBinaryTree(self, descriptions: List[List[int]]) -> Optional[TreeNode]:
        g = defaultdict(TreeNode)
        vis = set()
        for p, c, left in descriptions:
            if p not in g:
                g[p] = TreeNode(p)
            if c not in g:
                g[c] = TreeNode(c)
            if left:
                g[p].left = g[c]
            else:
                g[p].right = g[c]
            vis.add(c)
        for v, node in g.items():
            if v not in vis:
                return node

Java

/**
 * Definition for a binary tree node.
 * public class TreeNode {
 *     int val;
 *     TreeNode left;
 *     TreeNode right;
 *     TreeNode() {}
 *     TreeNode(int val) { this.val = val; }
 *     TreeNode(int val, TreeNode left, TreeNode right) {
 *         this.val = val;
 *         this.left = left;
 *         this.right = right;
 *     }
 * }
 */
class Solution {
    public TreeNode createBinaryTree(int[][] descriptions) {
        Map<Integer, TreeNode> m = new HashMap<>();
        Set<Integer> vis = new HashSet<>();
        for (int[] d : descriptions) {
            int p = d[0], c = d[1], isLeft = d[2];
            if (!m.containsKey(p)) {
                m.put(p, new TreeNode(p));
            }
            if (!m.containsKey(c)) {
                m.put(c, new TreeNode(c));
            }
            if (isLeft == 1) {
                m.get(p).left = m.get(c);
            } else {
                m.get(p).right = m.get(c);
            }
            vis.add(c);
        }
        for (Map.Entry<Integer, TreeNode> entry : m.entrySet()) {
            if (!vis.contains(entry.getKey())) {
                return entry.getValue();
            }
        }
        return null;
    }
}

C++

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     TreeNode *left;
 *     TreeNode *right;
 *     TreeNode() : val(0), left(nullptr), right(nullptr) {}
 *     TreeNode(int x) : val(x), left(nullptr), right(nullptr) {}
 *     TreeNode(int x, TreeNode *left, TreeNode *right) : val(x), left(left), right(right) {}
 * };
 */
class Solution {
public:
    TreeNode* createBinaryTree(vector<vector<int>>& descriptions) {
        unordered_map<int, TreeNode*> m;
        unordered_set<int> vis;
        for (auto& d : descriptions) {
            int p = d[0], c = d[1], left = d[2];
            if (!m.count(p)) m[p] = new TreeNode(p);
            if (!m.count(c)) m[c] = new TreeNode(c);
            if (left)
                m[p]->left = m[c];
            else
                m[p]->right = m[c];
            vis.insert(c);
        }
        for (auto& [v, node] : m) {
            if (!vis.count(v)) return node;
        }
        return nullptr;
    }
};

Go

/**
 * Definition for a binary tree node.
 * type TreeNode struct {
 *     Val int
 *     Left *TreeNode
 *     Right *TreeNode
 * }
 */
func createBinaryTree(descriptions [][]int) *TreeNode {
	m := make(map[int]*TreeNode)
	vis := make(map[int]bool)
	for _, d := range descriptions {
		p, c, left := d[0], d[1], d[2]
		if m[p] == nil {
			m[p] = &TreeNode{Val: p}
		}
		if m[c] == nil {
			m[c] = &TreeNode{Val: c}
		}
		if left == 1 {
			m[p].Left = m[c]
		} else {
			m[p].Right = m[c]
		}
		vis[c] = true
	}

	for v, node := range m {
		if !vis[v] {
			return node
		}
	}
	return nil
}

TypeScript

/**
 * Definition for a binary tree node.
 * class TreeNode {
 *     val: number
 *     left: TreeNode | null
 *     right: TreeNode | null
 *     constructor(val?: number, left?: TreeNode | null, right?: TreeNode | null) {
 *         this.val = (val===undefined ? 0 : val)
 *         this.left = (left===undefined ? null : left)
 *         this.right = (right===undefined ? null : right)
 *     }
 * }
 */

function createBinaryTree(descriptions: number[][]): TreeNode | null {
    const map = new Map<number, [number, number]>();
    const isRoot = new Map<number, boolean>();
    for (const [parent, child, isLeft] of descriptions) {
        let [left, right] = map.get(parent) ?? [0, 0];
        if (isLeft) {
            left = child;
        } else {
            right = child;
        }
        if (!isRoot.has(parent)) {
            isRoot.set(parent, true);
        }
        isRoot.set(child, false);
        map.set(parent, [left, right]);
    }
    const dfs = (val: number) => {
        if (val === 0) {
            return null;
        }
        const [left, right] = map.get(val) ?? [0, 0];
        return new TreeNode(val, dfs(left), dfs(right));
    };
    for (const [key, val] of isRoot.entries()) {
        if (val) {
            return dfs(key);
        }
    }
    return null;
}

Rust

// Definition for a binary tree node.
// #[derive(Debug, PartialEq, Eq)]
// pub struct TreeNode {
//   pub val: i32,
//   pub left: Option<Rc<RefCell<TreeNode>>>,
//   pub right: Option<Rc<RefCell<TreeNode>>>,
// }
//
// impl TreeNode {
//   #[inline]
//   pub fn new(val: i32) -> Self {
//     TreeNode {
//       val,
//       left: None,
//       right: None
//     }
//   }
// }
use std::cell::RefCell;
use std::collections::HashMap;
use std::rc::Rc;
impl Solution {
    fn dfs(val: i32, map: &HashMap<i32, [i32; 2]>) -> Option<Rc<RefCell<TreeNode>>> {
        if val == 0 {
            return None;
        }
        let mut left = None;
        let mut right = None;
        if let Some(&[l_val, r_val]) = map.get(&val) {
            left = Self::dfs(l_val, map);
            right = Self::dfs(r_val, map);
        }
        Some(Rc::new(RefCell::new(TreeNode { val, left, right })))
    }

    pub fn create_binary_tree(descriptions: Vec<Vec<i32>>) -> Option<Rc<RefCell<TreeNode>>> {
        let mut map = HashMap::new();
        let mut is_root = HashMap::new();
        for description in descriptions.iter() {
            let (parent, child, is_left) = (description[0], description[1], description[2] == 1);
            let [mut left, mut right] = map.get(&parent).unwrap_or(&[0, 0]);
            if is_left {
                left = child;
            } else {
                right = child;
            }
            if !is_root.contains_key(&parent) {
                is_root.insert(parent, true);
            }
            is_root.insert(child, false);
            map.insert(parent, [left, right]);
        }
        for key in is_root.keys() {
            if *is_root.get(key).unwrap() {
                return Self::dfs(*key, &map);
            }
        }
        None
    }
}