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Deduplication and optimization of numerical arrays using js binary tree

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小云云Original
2018-03-28 09:13:111324browse

This article mainly introduces to you the relevant information about deduplication and optimization of numerical arrays using js to construct binary trees. The article introduces it in great detail through sample codes. It has certain reference learning value for everyone's study or work. Friends who need it Let’s learn together with the editor below.

Common two-layer loop to implement array deduplication


let arr = [11, 12, 13, 9, 8, 7, 0, 1, 2, 2, 5, 7, 11, 11, 7, 6, 4, 5, 2, 2]
let newArr = []
for (let i = 0; i < arr.length; i++) {
 let unique = true
 for (let j = 0; j < newArr.length; j++) {
  if (newArr[j] === arr[i]) {
   unique = false
   break
  }
 }
 if (unique) {
  newArr.push(arr[i])
 }
}
console.log(newArr)

Construct a binary tree to achieve deduplication (only applicable to numeric type arrays)

Construct the previously traversed elements into a binary tree. Each node in the tree satisfies: The value of the left child node < the value of the current node < the value of the right child node

This optimizes the process of judging whether the element has appeared before

If the element is older than the current node if the element is smaller than the current node, you only need to determine whether the element has appeared in the left subtree of the node.

let arr = [0, 1, 2, 2, 5, 7, 11, 7, 6, 4,5, 2, 2]
class Node {
 constructor(value) {
  this.value = value
  this.left = null
  this.right = null
 }
}
class BinaryTree {
 constructor() {
  this.root = null
  this.arr = []
 }

 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)

Optimization idea one, record the maximum and minimum values
Record the inserted elements If the maximum and minimum values ​​are larger than the maximum element or the minimum element is smaller, insert it directly

let arr = [11, 12, 13, 9, 8, 7, 0, 1, 2, 2, 5, 7, 11, 11, 7, 6, 4, 5, 2, 2]
class Node {
 constructor(value) {
  this.value = value
  this.left = null
  this.right = null
 }
}
class BinaryTree {
 constructor() {
  this.root = null
  this.arr = []
  this.max = null
  this.min = null
 }

 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)

Optimization idea two, build a red-black tree
Build a red-black tree and balance the height of the tree

For the part about the red-black tree, please see the insertion of the red-black tree

let arr = [11, 12, 13, 9, 8, 7, 0, 1, 2, 2, 5, 7, 11, 11, 7, 6, 4, 5, 2, 2]
console.log(Array.from(new Set(arr)))

class Node {
 constructor(value) {
  this.value = value
  this.left = null
  this.right = null
  this.parent = null
  this.color = &#39;red&#39;
 }
}

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

 insert(value) {
  let node = new Node(value)
  if (!this.root) {
   node.color = &#39;black&#39;
   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 = &#39;black&#39;
   this.root = node
   return
  }
  if (node.parent.color === &#39;black&#39;) {
   return
  }
  let son = node
  let father = node.parent
  let grandFather = father.parent
  let directionFtoG = father === grandFather.left ? &#39;left&#39; : &#39;right&#39;
  let uncle = grandFather[directionFtoG === &#39;left&#39; ? &#39;right&#39; : &#39;left&#39;]
  let directionStoF = son === father.left ? &#39;left&#39; : &#39;right&#39;
  if (!uncle || uncle.color === &#39;black&#39;) {
   if (directionFtoG === directionStoF) {
    if (grandFather.parent) {
     grandFather.parent[grandFather.parent.left === grandFather ? &#39;left&#39; : &#39;right&#39;] = father
     father.parent = grandFather.parent
    } else {
     this.root = father
     father.parent = null
    }
    father.color = &#39;black&#39;
    grandFather.color = &#39;red&#39;

    father[father.left === son ? &#39;right&#39; : &#39;left&#39;] && (father[father.left === son ? &#39;right&#39; : &#39;left&#39;].parent = grandFather)
    grandFather[grandFather.left === father ? &#39;left&#39; : &#39;right&#39;] = father[father.left === son ? &#39;right&#39; : &#39;left&#39;]

    father[father.left === son ? &#39;right&#39; : &#39;left&#39;] = 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 = &#39;black&#39;
   uncle.color = &#39;black&#39;
   grandFather.color = &#39;red&#39;
   this.fixTree(grandFather)
  }
 }
}

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

Other deduplication methods

Deduplication through Set object


[...new Set(arr)]

Through

sort()

+ reduce() Method to remove duplicates
Compare adjacent ones after sorting Whether the elements are the same, if they are different, they are added to the returned array

It is worth noting that when sorting, the default

compare(2, '2')

returns 0; while reduce() When doing congruent comparison

let arr = [0, 1, 2, &#39;2&#39;, 2, 5, 7, 11, 7, 5, 2, &#39;2&#39;, 2]
let newArr = []
arr.sort((a, b) => {
 let res = a - b
 if (res !== 0) {
  return res
 } else {
  if (a === b) {
   return 0
  } else {
   if (typeof a === &#39;number&#39;) {
    return -1
   } else {
    return 1
   }
  }
 }
}).reduce((pre, cur) => {
 if (pre !== cur) {
  newArr.push(cur)
  return cur
 }
 return pre
}, null)

pass

includes()

+ map() method to remove duplicates

let arr = [0, 1, 2, &#39;2&#39;, 2, 5, 7, 11, 7, 5, 2, &#39;2&#39;, 2]
let newArr = []
arr.map(a => !newArr.includes(a) && newArr.push(a))

Remove duplication through

includes()

+ reduce() method

let arr = [0, 1, 2, &#39;2&#39;, 2, 5, 7, 11, 7, 5, 2, &#39;2&#39;, 2]
let newArr = arr.reduce((pre, cur) => {
  !pre.includes(cur) && pre.push(cur)
  return pre
}, [])

Remove duplication through the object's key-value pair + JSON object method


let arr = [0, 1, 2, &#39;2&#39;, 2, 5, 7, 11, 7, 5, 2, &#39;2&#39;, 2]
let obj = {}
arr.map(a => {
  if(!obj[JSON.stringify(a)]){
    obj[JSON.stringify(a)] = 1
  }
})
console.log(Object.keys(obj).map(a => JSON.parse(a)))

Related recommendations:


Array PHP two-dimensional array deduplication problem analysis

JS array deduplication method summary

Several methods of JavaScript array deduplication share

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