Medium
You are given the root
of a binary tree and an integer k
.
Return an integer denoting the size of the kth
largest perfect binary subtree, or -1
if it doesn’t exist.
A perfect binary tree is a tree where all leaves are on the same level, and every parent has two children.
Example 1:
Input: root = [5,3,6,5,2,5,7,1,8,null,null,6,8], k = 2
Output: 3
Explanation:
The roots of the perfect binary subtrees are highlighted in black. Their sizes, in non-increasing order are [3, 3, 1, 1, 1, 1, 1, 1]
.
The 2nd
largest size is 3.
Example 2:
Input: root = [1,2,3,4,5,6,7], k = 1
Output: 7
Explanation:
The sizes of the perfect binary subtrees in non-increasing order are [7, 3, 3, 1, 1, 1, 1]
. The size of the largest perfect binary subtree is 7.
Example 3:
Input: root = [1,2,3,null,4], k = 3
Output: -1
Explanation:
The sizes of the perfect binary subtrees in non-increasing order are [1, 1]
. There are fewer than 3 perfect binary subtrees.
Constraints:
[1, 2000]
.1 <= Node.val <= 2000
1 <= k <= 1024
import com_github_leetcode.TreeNode
import java.util.PriorityQueue
import java.util.Queue
/*
* Example:
* var ti = TreeNode(5)
* var v = ti.`val`
* Definition for a binary tree node.
* class TreeNode(var `val`: Int) {
* var left: TreeNode? = null
* var right: TreeNode? = null
* }
*/
class Solution {
private val pq: Queue<Int> = PriorityQueue<Int>()
fun kthLargestPerfectSubtree(root: TreeNode?, k: Int): Int {
dfs(root, k)
return (if (pq.isEmpty() || pq.size < k) -1 else pq.peek())!!
}
private fun dfs(root: TreeNode?, k: Int): Int {
if (root == null) {
return 0
}
val left = dfs(root.left, k)
val right = dfs(root.right, k)
if (left == right) {
pq.offer(1 + left + right)
}
if (pq.size > k) {
pq.poll()
}
return if (left == right) 1 + left + right else -1
}
}