問題: Given a Binary Search Tree (BST) with the root node root, return the minimum difference between the values of any two different nodes in the tree.node
Example :
Input: root = [4,2,6,1,3,null,null]
Output: 1
Explanation:
Note that root is a TreeNode object, not an array.
The given tree [4,2,6,1,3,null,null] is represented by the following diagram:
4
/ \
2 6
/ \
1 3
while the minimum difference in this tree is 1, it occurs between node 1 and node 2, also between node 3 and node 2.
Note:
The size of the BST will be between 2 and 100.
The BST is always valid, each node's value is an integer, and each node's value is different.
複製代碼
方法: 題目中的二叉搜索樹節點間具備特殊的大小關係,即左節點<根節點<右節點,則經過中序遍歷就是從小到大排序的節點,而後計算節點間的diff,取最小diff即爲最終結果。git
具體實現:github
class MinimumDistanceBetweenBSTNodes {
// Definition for a binary tree node.
class TreeNode(var `val`: Int) {
var left: TreeNode? = null
var right: TreeNode? = null
}
private var pre = -100
private var diff = 100
fun minDiffInBST(root: TreeNode?): Int {
if (root == null) {
return Int.MIN_VALUE
}
minDiffInBST(root.left)
diff = minOf(diff, root.`val` - pre)
pre = root.`val`
minDiffInBST(root.right)
return diff
}
}
fun main(args: Array<String>) {
val tree4 = MinimumDistanceBetweenBSTNodes.TreeNode(4)
val tree2 = MinimumDistanceBetweenBSTNodes.TreeNode(2)
val tree6 = MinimumDistanceBetweenBSTNodes.TreeNode(6)
val tree1 = MinimumDistanceBetweenBSTNodes.TreeNode(1)
val tree3 = MinimumDistanceBetweenBSTNodes.TreeNode(3)
tree4.left = tree2
tree4.right = tree6
tree2.left = tree1
tree2.right = tree3
val minimumDistanceBetweenBSTNodes = MinimumDistanceBetweenBSTNodes()
println(minimumDistanceBetweenBSTNodes.minDiffInBST(tree4))
}
複製代碼
有問題隨時溝通bash