📜  扁平化多级链表的 C 程序

📅  最后修改于: 2022-05-13 01:55:43.501000             🧑  作者: Mango

扁平化多级链表的 C 程序

给定一个链表,其中除了下一个指针之外,每个节点都有一个子指针,它可能指向也可能不指向单独的链表。这些子列表可能有一个或多个自己的子列表,以此类推,以生成多级数据结构,如下图所示。您将获得列表第一级的头部。展平列表,使所有节点出现在单级链表中。您需要将列表展平,以使第一级的所有节点都排在第一位,然后是第二级的节点,依此类推。
每个节点都是具有以下定义的 C 结构。

C
struct List
{
    int data;
    struct List *next;
    struct List *child;
};


C
// Program to flatten list with next 
// and child pointers
#include 
#include 
  
// Macro to find number of elements 
// in array
#define SIZE(arr) (sizeof(arr)/
                   sizeof(arr[0]))
  
// A linked list node has data, 
// next pointer and child pointer
struct Node
{
    int data;
    struct Node *next;
    struct Node *child;
};
  
// A utility function to create a linked list 
// with n nodes. The data of nodes is taken 
// from arr[].  All child pointers are set as NULL
struct Node *createList(int *arr, int n)
{
    struct Node *head = NULL;
    struct Node *p;
  
    int i;
    for (i = 0; i < n; ++i) 
    {
        if (head == NULL)
            head = p = (struct Node *)malloc(sizeof(*p));
        else 
        {
            p->next = (struct Node *)malloc(sizeof(*p));
            p = p->next;
        }
        p->data = arr[i];
        p->next = p->child = NULL;
    }
    return head;
}
  
// A utility function to print all nodes 
// of a linked list
void printList(struct Node *head)
{
    while (head != NULL) 
    {
        printf("%d ", head->data);
        head = head->next;
    }
    printf("");
}
  
// This function creates the input list.  
// The created list is same as shown in 
// the above figure
struct Node *createList(void)
{
    int arr1[] = {10, 5, 12, 7, 11};
    int arr2[] = {4, 20, 13};
    int arr3[] = {17, 6};
    int arr4[] = {9, 8};
    int arr5[] = {19, 15};
    int arr6[] = {2};
    int arr7[] = {16};
    int arr8[] = {3};
  
    // Create 8 linked lists 
    struct Node *head1 = createList(arr1, 
                                    SIZE(arr1));
    struct Node *head2 = createList(arr2, 
                                    SIZE(arr2));
    struct Node *head3 = createList(arr3, 
                                    SIZE(arr3));
    struct Node *head4 = createList(arr4, 
                                    SIZE(arr4));
    struct Node *head5 = createList(arr5, 
                                    SIZE(arr5));
    struct Node *head6 = createList(arr6, 
                                    SIZE(arr6));
    struct Node *head7 = createList(arr7, 
                                    SIZE(arr7));
    struct Node *head8 = createList(arr8, 
                                    SIZE(arr8));
  
    // Modify child pointers to create the 
    // list shown above 
    head1->child = head2;
    head1->next->next->next->child = head3;
    head3->child = head4;
    head4->child = head5;
    head2->next->child = head6;
    head2->next->next->child = head7;
    head7->child = head8;
  
    /* Return head pointer of first linked list.  
       Note that all nodes are reachable from 
       head1 */
    return head1;
}
  
/* The main function that flattens a 
   multilevel linked list */
void flattenList(struct Node *head)
{
    // Base case
    if (head == NULL)
       return;
  
    struct Node *tmp;
  
    /* Find tail node of first level 
       linked list */
    struct Node *tail = head;
    while (tail->next != NULL)
        tail = tail->next;
  
    // One by one traverse through all nodes 
    // of first level linked list till we 
    // reach the tail node
    struct Node *cur = head;
    while (cur != tail)
    {
        // If current node has a child
        if (cur->child)
        {
            // then append the child at the 
            // end of current list
            tail->next = cur->child;
  
            // and update the tail to new      
            // last node
            tmp = cur->child;
            while (tmp->next)
                tmp = tmp->next;
            tail = tmp;
        }
  
        // Change current node
        cur = cur->next;
    }
}
  
// Driver code
int main(void)
{
    struct Node *head = NULL;
    head = createList();
    flattenList(head);
    printList(head);
    return 0;
}



上述列表应转换为 10->5->12->7->11->4->20->13->17->6->2->16->9->8->3 ->19->15

问题很明确的说,我们需要一层一层的扁平化。一个解决方案的思路是,我们从第一层开始,一个一个地处理所有节点,如果一个节点有一个孩子,那么我们将孩子追加到列表的末尾,否则,我们什么都不做。第一级处理完后,所有下一级节点都将追加到第一级之后。附加节点遵循相同的过程。

1) Take "cur" pointer, which will point to head of the first level of the list
2) Take "tail" pointer, which will point to end of the first level of the list
3) Repeat the below procedure while "curr" is not NULL.
    I) if current node has a child then
    a) append this new child list to the "tail"
        tail->next = cur->child
    b) find the last node of new child list and update "tail"
        tmp = cur->child;
        while (tmp->next != NULL)
            tmp = tmp->next;
        tail = tmp;
    II) move to the next node. i.e. cur = cur->next

以下是上述算法的实现。

C

// Program to flatten list with next 
// and child pointers
#include 
#include 
  
// Macro to find number of elements 
// in array
#define SIZE(arr) (sizeof(arr)/
                   sizeof(arr[0]))
  
// A linked list node has data, 
// next pointer and child pointer
struct Node
{
    int data;
    struct Node *next;
    struct Node *child;
};
  
// A utility function to create a linked list 
// with n nodes. The data of nodes is taken 
// from arr[].  All child pointers are set as NULL
struct Node *createList(int *arr, int n)
{
    struct Node *head = NULL;
    struct Node *p;
  
    int i;
    for (i = 0; i < n; ++i) 
    {
        if (head == NULL)
            head = p = (struct Node *)malloc(sizeof(*p));
        else 
        {
            p->next = (struct Node *)malloc(sizeof(*p));
            p = p->next;
        }
        p->data = arr[i];
        p->next = p->child = NULL;
    }
    return head;
}
  
// A utility function to print all nodes 
// of a linked list
void printList(struct Node *head)
{
    while (head != NULL) 
    {
        printf("%d ", head->data);
        head = head->next;
    }
    printf("");
}
  
// This function creates the input list.  
// The created list is same as shown in 
// the above figure
struct Node *createList(void)
{
    int arr1[] = {10, 5, 12, 7, 11};
    int arr2[] = {4, 20, 13};
    int arr3[] = {17, 6};
    int arr4[] = {9, 8};
    int arr5[] = {19, 15};
    int arr6[] = {2};
    int arr7[] = {16};
    int arr8[] = {3};
  
    // Create 8 linked lists 
    struct Node *head1 = createList(arr1, 
                                    SIZE(arr1));
    struct Node *head2 = createList(arr2, 
                                    SIZE(arr2));
    struct Node *head3 = createList(arr3, 
                                    SIZE(arr3));
    struct Node *head4 = createList(arr4, 
                                    SIZE(arr4));
    struct Node *head5 = createList(arr5, 
                                    SIZE(arr5));
    struct Node *head6 = createList(arr6, 
                                    SIZE(arr6));
    struct Node *head7 = createList(arr7, 
                                    SIZE(arr7));
    struct Node *head8 = createList(arr8, 
                                    SIZE(arr8));
  
    // Modify child pointers to create the 
    // list shown above 
    head1->child = head2;
    head1->next->next->next->child = head3;
    head3->child = head4;
    head4->child = head5;
    head2->next->child = head6;
    head2->next->next->child = head7;
    head7->child = head8;
  
    /* Return head pointer of first linked list.  
       Note that all nodes are reachable from 
       head1 */
    return head1;
}
  
/* The main function that flattens a 
   multilevel linked list */
void flattenList(struct Node *head)
{
    // Base case
    if (head == NULL)
       return;
  
    struct Node *tmp;
  
    /* Find tail node of first level 
       linked list */
    struct Node *tail = head;
    while (tail->next != NULL)
        tail = tail->next;
  
    // One by one traverse through all nodes 
    // of first level linked list till we 
    // reach the tail node
    struct Node *cur = head;
    while (cur != tail)
    {
        // If current node has a child
        if (cur->child)
        {
            // then append the child at the 
            // end of current list
            tail->next = cur->child;
  
            // and update the tail to new      
            // last node
            tmp = cur->child;
            while (tmp->next)
                tmp = tmp->next;
            tail = tmp;
        }
  
        // Change current node
        cur = cur->next;
    }
}
  
// Driver code
int main(void)
{
    struct Node *head = NULL;
    head = createList();
    flattenList(head);
    printList(head);
    return 0;
}

输出:

10 5 12 7 11 4 20 13 17 6 2 16 9 8 3 19 15

时间复杂度:由于每个节点最多被访问两次,时间复杂度为 O(n),其中 n 是给定链表中的节点数。

有关详细信息,请参阅有关扁平化多级链表的完整文章!