#222
Easy Algorithms Count complete tree nodes
Binary Search Bit Manipulation Tree Binary Tree
72.1% acceptance
Feb 27, 2026
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Given the root of a complete binary tree, return the number of the nodes in the tree.
According to Wikipedia, every level, except possibly the last, is completely filled in a complete binary tree, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.
Design an algorithm that runs in less than O(n) time complexity.
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 count_nodes(root: Option<Rc<RefCell<TreeNode>>>) -> i32 {
match root {
None => 0,
Some(node) => {
let node = node.borrow();
1 + Self::count_nodes(node.left.clone()) + Self::count_nodes(node.right.clone())
}
}
}
}