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A complete binary tree is a binary tree in which every level, except possibly the last, is completely filled, and all nodes are as far left as possible.
Design an algorithm to insert a new node to a complete binary tree keeping it complete after the insertion.
Implement the CBTInserter
class:
CBTInserter(TreeNode root)
Initializes the data structure with the root
of the complete binary tree.
int insert(int v)
Inserts a TreeNode
into the tree with value Node.val == val
so that the tree remains complete, and returns the value of the parent of the inserted TreeNode
.
TreeNode get_root()
Returns the root node of the tree.
Example 1:
Input
["CBTInserter", "insert", "insert", "get_root"]
[[[1, 2]], [3], [4], []]
Output
[null, 1, 2, [1, 2, 3, 4]]
Explanation
CBTInserter cBTInserter = new CBTInserter([1, 2]);
cBTInserter.insert(3); // return 1
cBTInserter.insert(4); // return 2
cBTInserter.get_root(); // return [1, 2, 3, 4]
Constraints:
- The number of nodes in the tree will be in the range
[1, 1000]
.
0 <= Node.val <= 5000
root
is a complete binary tree.
0 <= val <= 5000
- At most
104
calls will be made to insert
and get_root
.
[Tree]
[Breadth-First Search]
[Design]
[Binary Tree]