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hello-algo/zh-hant/codes/rust/chapter_divide_and_conquer/build_tree.rs

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1.6 KiB

/*
* File: build_tree.rs
* Created Time: 2023-07-15
* Author: codingonion (coderonion@gmail.com)
*/
use std::collections::HashMap;
use std::{cell::RefCell, rc::Rc};
include!("../include/include.rs");
use tree_node::TreeNode;
/* 構建二元樹:分治 */
fn dfs(
preorder: &[i32],
inorder_map: &HashMap<i32, i32>,
i: i32,
l: i32,
r: i32,
) -> Option<Rc<RefCell<TreeNode>>> {
// 子樹區間為空時終止
if r - l < 0 {
return None;
}
// 初始化根節點
let root = TreeNode::new(preorder[i as usize]);
// 查詢 m ,從而劃分左右子樹
let m = inorder_map.get(&preorder[i as usize]).unwrap();
// 子問題:構建左子樹
root.borrow_mut().left = dfs(preorder, inorder_map, i + 1, l, m - 1);
// 子問題:構建右子樹
root.borrow_mut().right = dfs(preorder, inorder_map, i + 1 + m - l, m + 1, r);
// 返回根節點
Some(root)
}
/* 構建二元樹 */
fn build_tree(preorder: &[i32], inorder: &[i32]) -> Option<Rc<RefCell<TreeNode>>> {
// 初始化雜湊表,儲存 inorder 元素到索引的對映
let mut inorder_map: HashMap<i32, i32> = HashMap::new();
for i in 0..inorder.len() {
inorder_map.insert(inorder[i], i as i32);
}
let root = dfs(preorder, &inorder_map, 0, 0, inorder.len() as i32 - 1);
root
}
/* Driver Code */
fn main() {
let preorder = [3, 9, 2, 1, 7];
let inorder = [9, 3, 1, 2, 7];
println!("中序走訪 = {:?}", preorder);
println!("前序走訪 = {:?}", inorder);
let root = build_tree(&preorder, &inorder);
println!("構建的二元樹為:");
print_util::print_tree(root.as_ref().unwrap());
}