#106
Medium Algorithms Construct binary tree from inorder and postorder traversal
Array Hash Table Divide and Conquer Tree Binary Tree
68.1% acceptance
Feb 27, 2026
8665
157
Given two integer arrays inorder and postorder where inorder is the inorder traversal of a binary tree and postorder is the postorder traversal of the same tree, construct and return the binary tree.
Solution
Rust
Time O(n)
Space O(n)
// 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::rc::Rc;
use std::cell::RefCell;
impl Solution {
pub fn build_tree_inorder_postorder(inorder: Vec<i32>, postorder: Vec<i32>) -> Option<Rc<RefCell<TreeNode>>> {
if postorder.is_empty() {
return None;
}
fn build(inorder: &[i32], postorder: &[i32]) -> Option<Rc<RefCell<TreeNode>>> {
if postorder.is_empty() {
return None;
}
let root_val = postorder[postorder.len() - 1];
let root_idx = inorder.iter().position(|&x| x == root_val).unwrap();
let left = build(&inorder[..root_idx], &postorder[..root_idx]);
let right = build(&inorder[root_idx + 1..], &postorder[root_idx..postorder.len() - 1]);
Some(Rc::new(RefCell::new(TreeNode {
val: root_val,
left,
right,
})))
}
build(&inorder, &postorder)
}
}