Check Completeness of a Binary Tree
Description
Given a binary tree, determine if it is a complete binary tree.
Definition of a complete binary tree from Wikipedia:
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: [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: [1,2,3,4,5,null,7] Output: false Explanation: The node with value 7 isn't as far left as possible.
Note:
- The tree will have between 1 and 100 nodes.
Solution(javascript)
// 按层次遍历,看 null 之后是否还有非 null 元素
const isCompleteTree = function (root) {
let current = [root]
let hasNull = false
while (current.length > 0) {
const next = []
for (const node of current) {
if (node === null) {
hasNull = true
}
if (node) {
if (hasNull) {
return false
}
next.push(node.left)
next.push(node.right)
}
}
current = next
}
return true
}