Given the root of a binary tree, determine if it is a complete binary tree.
In a complete binary tree, every level, except possibly the last, is completely filled, 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.
Example 1:
Input: root = [1,2,3,4,5,6]
Output: true
Explanation: Every level before the last is full (ie. levels with node-values {1} and {2, 3}), and all nodes in the last level ({4, 5, 6}) are as far left as possible.
Example 2:
Input: root = [1,2,3,4,5,null,7]
Output: false
Explanation: The node with value 7 isn’t as far left as possible.
Constraints:
- The number of nodes in the tree is in the range [1, 100].
- 1 <= Node.val <= 1000
- BFS 遍历整棵树
- 遍历过程中只要遇到一个是 None 的节点, 那剩下的节点必须都是 None, 否则一定不是完全二叉树
代码实现(Rust):
impl Solution {
pub fn is_complete_tree(root: Option<Rc<RefCell<TreeNode>>>) -> bool {
let mut next_level: Vec<Option<Rc<RefCell<TreeNode>>>> = vec![root];
let mut temp = Vec::new();
let mut got_none = false;
loop {
while !next_level.is_empty() {
if let Some(n) = next_level.remove(0) {
if got_none {
return false;
}
temp.push(n.borrow_mut().left.take());
temp.push(n.borrow_mut().right.take());
} else {
got_none = true;
}
}
if temp.is_empty() {
return true
}
next_level = temp.clone();
temp.clear();
}
}
}