js构建二叉树进行数值数组的去重与优化详解

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前言

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常见两层循环实现数组去重

构建二叉树实现去重(仅适用于数值类型的数组)

将先前遍历过的元素,构建成二叉树,树中每个结点都满足:左子结点的值 < 当前结点的值 < 右子结点的值

这样优化了判断元素是否之前出现过的过程

若元素比当前结点大,只需要判断元素是否在结点的右子树中出现过即可

若元素比当前结点小,只需要判断元素是否在结点的左子树中出现过即可

insert(value) {
let node = new Node(value)
if (!this.root) {
this.root = node
this.arr.push(value)
return this.arr
}
let current = this.root
while (true) {
if (value > current.value) {
if (current.right) {
current = current.right
} else {
current.right = node
this.arr.push(value)
break
}
}
if (value < current.value) {
if (current.left) {
current = current.left
} else {
current.left = node
this.arr.push(value)
break
}
}
if (value === current.value) {
break
}
}
return this.arr
}
}

let binaryTree = new BinaryTree()
for (let i = 0; i < arr.length; i++) {
binaryTree.insert(arr[i])
}
console.log(binaryTree.arr)

优化思路一,记录最大最小值

记录已经插入元素的最大最小值,若比最大元素大,或最小元素小,则直接插入

insert(value) {
let node = new Node(value)
if (!this.root) {
this.root = node
this.arr.push(value)
this.max = value
this.min = value
return this.arr
}
if (value > this.max) {
this.arr.push(value)
this.max = value
this.findMax().right = node
return this.arr
}
if (value < this.min) {
this.arr.push(value)
this.min = value
this.findMin().left = node
return this.arr
}
let current = this.root
while (true) {
if (value > current.value) {
if (current.right) {
current = current.right
} else {
current.right = node
this.arr.push(value)
break
}
}
if (value < current.value) {
if (current.left) {
current = current.left
} else {
current.left = node
this.arr.push(value)
break
}
}
if (value === current.value) {
break
}
}
return this.arr
}

findMax() {
let current = this.root
while (current.right) {
current = current.right
}
return current
}

findMin() {
let current = this.root
while (current.left) {
current = current.left
}
return current
}
}

let binaryTree = new BinaryTree()
for (let i = 0; i < arr.length; i++) {
binaryTree.insert(arr[i])
}
console.log(binaryTree.arr)

优化思路二,构建红黑树

构建红黑树,平衡树的高度

有关红黑树的部分,请见

class Node {
constructor(value) {
this.value = value
this.left = null
this.right = null
this.parent = null
this.color = 'red'
}
}

class RedBlackTree {
constructor() {
this.root = null
this.arr = []
}

insert(value) {
let node = new Node(value)
if (!this.root) {
node.color = 'black'
this.root = node
this.arr.push(value)
return this
}
let cur = this.root
let inserted = false
while (true) {
if (value > cur.value) {
if (cur.right) {
cur = cur.right
} else {
cur.right = node
this.arr.push(value)
node.parent = cur
inserted = true
break
}
}

if (value < cur.value) {
if (cur.left) {
cur = cur.left
} else {
cur.left = node
this.arr.push(value)
node.parent = cur
inserted = true
break
}
}

if (value === cur.value) {
break
}
}
// 调整树的结构
if(inserted){
this.fixTree(node)
}
return this
}

fixTree(node) {
if (!node.parent) {
node.color = 'black'
this.root = node
return
}
if (node.parent.color === 'black') {
return
}
let son = node
let father = node.parent
let grandFather = father.parent
let directionFtoG = father === grandFather.left ? 'left' : 'right'
let uncle = grandFather[directionFtoG === 'left' ? 'right' : 'left']
let directionStoF = son === father.left ? 'left' : 'right'
if (!uncle || uncle.color === 'black') {
if (directionFtoG === directionStoF) {
if (grandFather.parent) {
grandFather.parent[grandFather.parent.left === grandFather ? 'left' : 'right'] = father
father.parent = grandFather.parent
} else {
this.root = father
father.parent = null
}
father.color = 'black'
grandFather.color = 'red'

father[father.left === son ? 'right' : 'left'] && (father[father.left === son ? 'right' : 'left'].parent = grandFather)
grandFather[grandFather.left === father ? 'left' : 'right'] = father[father.left === son ? 'right' : 'left']

father[father.left === son ? 'right' : 'left'] = grandFather
grandFather.parent = father
return

} else {
grandFather[directionFtoG] = son
son.parent = grandFather

son[directionFtoG] && (son[directionFtoG].parent = father)
father[directionStoF] = son[directionFtoG]

father.parent = son
son[directionFtoG] = father
this.fixTree(father)

}
} else {
father.color = 'black'
uncle.color = 'black'
grandFather.color = 'red'
this.fixTree(grandFather)
}
}
}

let redBlackTree = new RedBlackTree()
for (let i = 0; i < arr.length; i++) {
redBlackTree.insert(arr[i])
}
console.log(redBlackTree.arr)

其他去重方法

通过 Set 对象去重

通过 sort() + reduce() 方法去重

排序后比较相邻元素是否相同,若不同则添加至返回的数组中

值得注意的是,排序的时候,默认 compare(2,'2') 返回 0;而 reduce() 时,进行全等比较

{ let res = a - b if (res !== 0) { return res } else { if (a === b) { return 0 } else { if (typeof a === 'number') { return -1 } else { return 1 } } } }).reduce((pre,cur) => { if (pre !== cur) { newArr.push(cur) return cur } return pre },null)

通过 includes() + map() 方法去重

!newArr.includes(a) && newArr.push(a))

通过 includes() + reduce() 方法去重

{ !pre.includes(cur) && pre.push(cur) return pre },[])

通过对象的键值对 + JSON 对象方法去重

{ if(!obj[JSON.stringify(a)]){ obj[JSON.stringify(a)] = 1 } }) console.log(Object.keys(obj).map(a => JSON.parse(a)))

总结

以上就是这篇文章的全部内容了,希望本文的内容对大家的学习或者工作具有一定的参考学习价值,如果有疑问大家可以留言交流,谢谢大家对编程之家的支持

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