Check Completeness of a Binary Tree

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 2^h nodes inclusive at the last level h.

Example 1
            1
           / \
          /   \
         2     3
        / \   /
       4   5 6
Inputroot = [1,2,3,4,5,6]
Outputtrue
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
        1
       / \
      2   3
     / \   \
    4   5   7
Inputroot = [1,2,3,4,5,null,7]
Outputfalse
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

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