二叉树删除 - 无法理解一些指针

时间:2015-07-22 17:35:52

标签: c binary-search-tree

我对这个二叉树删除有疑问。代码是

#include<stdio.h>
#include<stdlib.h>
struct node
{
    int key;
    struct node *left, *right;
};
struct node *newNode(int item)
{
    struct node *temp =  (struct node *)malloc(sizeof(struct node));
    temp->key = item;
    temp->left = temp->right = NULL;
    return temp;
}
void inorder(struct node *root)
{
    if (root != NULL)
    {
        inorder(root->left);
        printf("%d ", root->key);
        inorder(root->right);
    }
}
struct node* insert(struct node* node, int key)
{
    if (node == NULL) return newNode(key);

    if (key < node->key)
        node->left  = insert(node->left, key);
    else
        node->right = insert(node->right, key);
    return node;
}
struct node * minValueNode(struct node* node)
{
    struct node* current = node;
     while (current->left != NULL)
        current = current->left;

    return current;
}
struct node* deleteNode(struct node* root, int key)
{
   if (root == NULL) return root;

   if (key < root->key)
        root->left = deleteNode(root->left, key);
     else if (key > root->key)
        root->right = deleteNode(root->right, key);
   else
    {
        if (root->left == NULL)
        {
            struct node *temp = root->right;
            free(root);
            return temp;
        }
        else if (root->right == NULL)
        {
            struct node *temp = root->left;
            free(root);
            return temp;
        }

    struct node* temp = minValueNode(root->right);

         root->key = temp->key;

       root->right = deleteNode(root->right, temp->key);
    }
    return root;
}

int main()
{
    struct node *root = NULL;
    root = insert(root, 50);
    root = insert(root, 30);
    root = insert(root, 20);
    root = insert(root, 40);
    root = insert(root, 70);
    root = insert(root, 60);
    root = insert(root, 80);

    printf("Inorder traversal of the given tree \n");
    inorder(root);

    printf("\nDelete 20\n");
    root = deleteNode(root, 20);
    printf("Inorder traversal of the modified tree \n");
    inorder(root);

    printf("\nDelete 30\n");
    root = deleteNode(root, 30);
    printf("Inorder traversal of the modified tree \n");
    inorder(root);

    printf("\nDelete 50\n");
    root = deleteNode(root, 50);
    printf("Inorder traversal of the modified tree \n");
    inorder(root);

    return 0;
}

我无法理解的界限是:

if (root->left == NULL)
        {
            struct node *temp = root->right;
            free(root);
            return temp;
        }
        else if (root->right == NULL)
        {
            struct node *temp = root->left;
            free(root);
            return temp;
        }

这段代码实际上是返回NULL值,然后我可以在两种情况下将代码重写为 struct node * temp = NULL ,但是当我这样做时,不显示最后的inorder值。

1 个答案:

答案 0 :(得分:0)

您要查询的代码是处理要删除的节点是树的根节点的情况的代码的一部分。它检查根节点是否只有一个子节点(或零),在这种情况下,只需将一个子节点作为树的新根节点即可执行删除。

请特别注意,当root->left == NULL正确的子项时,而不是左侧的子项,它被选为新的根(并暂时记录在temp中),反之亦然。无论哪种方式,原始根节点都被释放,因为它不再在树中,并且不能通过函数即将返回的新根指针访问。

仅当根节点最初是树中唯一的节点时,该函数才返回NULL