Rust实现二叉树、字典树、并查集

目录

• 二叉树
• 字典树
• 并查集

二叉树

使用Option<Box<T>>实现。Box是智能指针，分配在堆上，专门用于这种“无限”大小的数据类型。LeetCode上采用Option<Rc<RefCell<T>>> 实现，非常臃肿。。

#[derive(PartialEq)]
enum TreeDir{
    LEFT, RIGHT
}
#[derive(Default)]
struct TreeNode{
    val:i32,
    left:Option<Box<TreeNode>>,  //Box是智能指针，分配在堆上，专门用于这种“无限”大小的数据类型
    right:Option<Box<TreeNode>>,
}
impl TreeNode {
    pub fn new () -> Self{  //新建树
        Self { val: 0, left: None, right: None }
    }
    pub fn new_val (num:i32) -> Self{ //新建树并设定值
        Self { val: num, left: None, right: None }
    }
    pub fn insert_tree (&mut self, node:TreeNode, dir:TreeDir){  //插入树
        if dir == TreeDir::LEFT{
            self.left = Some(Box::new(node));
        }else{
            self.right = Some(Box::new(node));
        }
    }
    pub fn remove_tree (&mut self, dir:TreeDir){
        match dir{
            //直接设为None即可，智能指针会自动释放空间。
            TreeDir::LEFT => {self.left = None;},
            TreeDir::RIGHT => {self.right = None;},
        }
    }
    pub fn traverse_preorder(&self){  //前序遍历
        println!("{}", self.val);
        if let Some(ref left) = self.left {
            left.traverse_preorder();
        }
        if let Some(ref right) = self.right {
            right.traverse_preorder();
        }
    }
}

fn main() {
    let mut t = TreeNode::new();
    t.insert_tree(TreeNode::new_val(10), TreeDir::LEFT);
    if let Some(ref mut t_left) = t.left{
        t_left.insert_tree(TreeNode::new_val(20), TreeDir::RIGHT);
    }
    t.traverse_preorder();
    let p = t.left.as_ref().unwrap().right.as_ref().unwrap();
    println!("释放前：{}", p.val); 
    t.remove_tree(TreeDir::LEFT); 
    t.insert_tree(TreeNode::new_val(12), TreeDir::RIGHT);
    // println!("释放后：{}", p.val);  //无法输出 p.val， 编译器报错
}

字典树

使用HashMap<char, TrieNode> 实现。

use std::collections::HashMap;  

#[derive(Default, Debug)]
struct TrieNode {
    is_end_of_word: bool,
    children: HashMap<char, TrieNode>,
}

#[derive(Default, Debug)]
pub struct Trie {
    root: TrieNode,
}

impl Trie {
    pub fn new() -> Self {
        Trie {
            root: TrieNode::default(),
        }
    }

    pub fn insert(&mut self, word: &str) {
        let mut current_node = &mut self.root;

        for c in word.chars() {
            current_node = current_node.children.entry(c).or_default();
        }
        current_node.is_end_of_word = true;
    }

    pub fn contains(&self, word: &str) -> bool {
        let mut current_node = &self.root;

        for c in word.chars() {
            match current_node.children.get(&c) {
                Some(node) => current_node = node,
                None => return false,
            }
        }

        current_node.is_end_of_word
    }
}

fn main() {
    let mut trie = Trie::new();
    trie.insert("hello");
    trie.insert("hi");
    trie.insert("hey");
    trie.insert("world");

    //println!("{trie:#?}");

    println!("hiiii? {}", trie.contains("hiiii"));
}

如果把开头几行换成这个更快：

use std::collections::HashMap;
use fxhash::FxBuildHasher;

type FxHashMap<K, V> = HashMap<K, V, FxBuildHasher>;

#[derive(Default)]
struct TrieNode {
    is_end_of_word: bool,
    children: FxHashMap<char, TrieNode>,
}

因为它采用了更简单的哈希函数。

并查集

use std::collections::HashMap;
struct UnionFind {
    parent: Vec<usize>,
}

impl UnionFind {
    //新建大小为n的并查集
    pub fn new(n: usize) -> Self {
        UnionFind {
            parent: (0..n).collect(),
        }
    }

    // 并查集中不同集合的数量
    pub fn count(&self) -> usize {
        let mut c = 0;
        for i in 0..self.parent.len() {
            if self.parent[i] == i {
                c += 1;
            }
        }
        c
    }

    //以Vec形式获得所有不同集合
    pub fn get_vec(&mut self) -> Vec<Vec<usize>> {
        let mut map: HashMap<usize, Vec<usize>> = HashMap::new();
        for i in 0..self.parent.len() {
            map.entry(self.find(i)).or_insert(Vec::new()).push(i);
        }
        map.into_values().collect()
    }

    pub fn find(&mut self, idx: usize) -> usize {
        if idx != self.parent[idx] {
            self.parent[idx] = self.find(self.parent[idx]);
        }
        self.parent[idx]
    }

    //连接点
    pub fn union(&mut self, idx1: usize, idx2: usize) {
        let (x, y) = (self.find(idx1), self.find(idx2));
        if x != y {
            self.parent[x] = y;
        }
    }

    //判断两点是否连接
    pub fn connected(&mut self, i: usize, j: usize) -> bool {
        self.find(i) == self.find(j)
    }
}
fn main() {
    let n = 5;
    let pair = vec![vec![0, 3],vec![0, 2]];
    let mut uf = UnionFind::new(n);
    for p in pair {
        uf.union(p[0], p[1]);
    }
    println!("不同集合的数量：{}", uf.count());   //输出：不同集合的数量：3
    println!("不同的集合：{:?}", uf.get_vec());  //输出：不同的集合：[[0, 2, 3], [4], [1]]
}