freeCodeCamp/curriculum/challenges/chinese/10-coding-interview-prep/data-structures/invert-a-binary-tree.md

---
id: 587d8259367417b2b2512c83
title: 反转二叉树
challengeType: 1
videoUrl: ''
dashedName: invert-a-binary-tree
---

# --description--

这里我们将创建一个反转二叉树的函数。给定二叉树，我们希望生成一个新树，它等效于该树的镜像。与原始树的inorder遍历相比，在倒置树上运行inorder遍历将以相反的顺序探索节点。在我们的二叉树上编写一个名为`invert`的方法。调用此方法应该反转当前树结构。理想情况下，我们希望在线性时间内就地执行此操作。也就是说，我们只访问每个节点一次，我们在不使用任何额外内存的情况下修改现有的树结构。祝你好运！

# --hints--

存在`BinarySearchTree`数据结构。

```js
assert(
  (function () {
    var test = false;
    if (typeof BinarySearchTree !== 'undefined') {
      test = new BinarySearchTree();
    }
    return typeof test == 'object';
  })()
);
```

二叉搜索树有一个名为`invert`的方法。

```js
assert(
  (function () {
    var test = false;
    if (typeof BinarySearchTree !== 'undefined') {
      test = new BinarySearchTree();
    } else {
      return false;
    }
    return typeof test.invert == 'function';
  })()
);
```

`invert`方法正确地反转树结构。

```js
assert(
  (function () {
    var test = false;
    if (typeof BinarySearchTree !== 'undefined') {
      test = new BinarySearchTree();
    } else {
      return false;
    }
    if (typeof test.invert !== 'function') {
      return false;
    }
    test.add(4);
    test.add(1);
    test.add(7);
    test.add(87);
    test.add(34);
    test.add(45);
    test.add(73);
    test.add(8);
    test.invert();
    return test.inorder().join('') == '877345348741';
  })()
);
```

反转空树返回`null` 。

```js
assert(
  (function () {
    var test = false;
    if (typeof BinarySearchTree !== 'undefined') {
      test = new BinarySearchTree();
    } else {
      return false;
    }
    if (typeof test.invert !== 'function') {
      return false;
    }
    return test.invert() == null;
  })()
);
```

# --seed--

## --after-user-code--

```js
BinarySearchTree.prototype = Object.assign(
  BinarySearchTree.prototype,
  {
    add: function(value) {
      function searchTree(node) {
        if (value < node.value) {
          if (node.left == null) {
            node.left = new Node(value);
            return;
          } else if (node.left != null) {
            return searchTree(node.left)
          };
        } else if (value > node.value) {
          if (node.right == null) {
            node.right = new Node(value);
            return;
          } else if (node.right != null) {
            return searchTree(node.right);
          };
        } else {
          return null;
        };
      }

      var node = this.root;
      if (node == null) {
        this.root = new Node(value);
        return;
      } else {
        return searchTree(node);
      };
    },
    inorder: function() {
      if (this.root == null) {
        return null;
      } else {
        var result = new Array();
        function traverseInOrder(node) {
          if (node.left != null) {
            traverseInOrder(node.left);
          };
          result.push(node.value);
          if (node.right != null) {
            traverseInOrder(node.right);
          };
        }
        traverseInOrder(this.root);
        return result;
      };
    }
  }
);
```

## --seed-contents--

```js
var displayTree = (tree) => console.log(JSON.stringify(tree, null, 2));
function Node(value) {
  this.value = value;
  this.left = null;
  this.right = null;
}
function BinarySearchTree() {
  this.root = null;
  // Only change code below this line
  
  // Only change code above this line
}
```

# --solutions--

```js
var displayTree = (tree) => console.log(JSON.stringify(tree, null, 2));
function Node(value) {
  this.value = value;
  this.left = null;
  this.right = null;
}
function BinarySearchTree() {
  this.root = null;
  // Only change code below this line
  this.invert = function(node = this.root) {
    if (node) {
      const temp = node.left;
      node.left = node.right;
      node.right = temp;
      this.invert(node.left);
      this.invert(node.right);
    }
    return node;
  }
    // Only change code above this line
}
```