二叉树定义
typealias Node = BinaryTree
class BinaryTree<T: Comparable>{
var value:T
var left: Node<T>?
var right: Node<T>?
init(_ value:T, leftNode: Node<T>?, rightNode: Node<T>? ) {
self.value = value
self.left = leftNode
self.right = rightNode
}
}
extension BinaryTree: CustomDebugStringConvertible, CustomStringConvertible{
var description: String{
return "\(value) \(String(describing: left)) \(String(describing: right))\t"
}
var debugDescription: String{
return "\(description)"
}
}
extension BinaryTree{
func add(leftNode left: Node<T>) -> Void {
self.left = left
}
func add(rightNode right: Node<T>) -> Void {
self.right = right
}
}
遍历
extension BinaryTree{
func leftDeep<T: Comparable>(_ root: BinaryTree<T>?) -> Int {
let deep = 0
if root == nil {
return deep
}
var left = 0
var right = 0
if root?.left != nil {
left = leftDeep(root?.left) + 1
}
if root?.right != nil{
right = leftDeep(root?.right) + 1
}
return max(max(left, right),1) // 根节点算是一个层级
}
func rightDeep<T: Comparable>(_ root: BinaryTree<T>?)->Int{
return leftDeep(root)
}
func binaryDeep<T: Comparable>(_ root: BinaryTree<T>?)-> Int{
if root == nil{
return 0
}
let left = leftDeep(root?.left)
let right = rightDeep(root?.right)
return max(left, right) + 1
}
}
思路
二叉树可以很好的使用递归类进行,我的思路是先递归的遍历做子树的深度,然后遍历右子树,取二者最大值
使用属性
extension BinaryTree{
var leftDeep: Int{
return self.leftDeep(self.left)
}
var rightDeep: Int{
return self.rightDeep(self.right)
}
var deep: Int{
return binaryDeep(self)
}
}
测试
var node1 = BinaryTree<Int>(1, leftNode: nil, rightNode: nil)
var node2 = BinaryTree<Int>(2, leftNode: nil, rightNode: nil)
var node3 = BinaryTree<Int>(3, leftNode: nil, rightNode: nil)
node1.add(leftNode: node2)
node1.add(rightNode: node3)
var tmp = BinaryTree<Int>(4,leftNode:nil, rightNode:nil)
node2.add(leftNode: tmp)
print(node1)
print(node1.deep)
print(node1.leftDeep)
print(node1.rightDeep)
结果
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疑问:
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