题目:
输入一棵二元查找树,将该二元查找树转换成一个排序的双向链表。
要求不能创建任何新的结点,只调整指针的指向。
10
/ \
6 14
/ \ / \
4 8 12 16
转换成双向链表
4=6=8=10=12=14=16。
首先我们定义的二元查找树 节点的数据结构如下:
struct BSTreeNode
{
int m_nValue; // value of node
BSTreeNode *m_pLeft; // left child of node
BSTreeNode *m_pRight; // right child of node
};
思路: 第一种方法,利用中序遍历思想,由于中序遍历出来的结果正好有序,因此按照中序遍历输出的结果顺序串成有序链表。
- #include <stdio.h>
- #include <stdlib.h>
- typedef struct BSTreeNode
- {
- int m_nValue;
- BSTreeNode *m_pleft;
- BSTreeNode *m_pright;
- }BSTreeNode;
- BSTreeNode *current_node, *first_node;
- void insertNode(BSTreeNode **proot, BSTreeNode **pNode)
- {
- BSTreeNode *node, *pnode, *pre_node;
- if(*proot == NULL)
- {
- *proot = *pNode;
- return;
- }
- pnode = *pNode;
- node = *proot;
- pre_node = NULL;
- while(node)
- {
- pre_node = node;
- if(node->m_nValue == pnode->m_nValue)
- {
- free(pnode);
- return;
- }
- if(node->m_nValue > pnode->m_nValue)
- node = node->m_pleft;
- else
- node = node->m_pright;
- }
- if(pre_node->m_nValue > pnode->m_nValue)
- pre_node->m_pleft = pnode;
- else
- pre_node->m_pright = pnode;
- }
- void print(BSTreeNode *node)
- {
- if(node)
- {
- print(node->m_pleft);
- if(current_node == NULL)
- {
- current_node = node;
- first_node = node;
- }
- else
- {
- current_node->m_pright = node;
- node->m_pleft = current_node;
- }
- current_node = node;
- print(node->m_pright);
- }
- }
- int main()
- {
- int i, j;
- int n, m;
- BSTreeNode *root, *newNode;
- while(scanf("%d", &n) != EOF)
- {
- root = NULL;
- current_node = NULL;
- first_node = NULL;
- for(i = 0; i < n; i )
- {
- scanf("%d", &m);
- newNode = (BSTreeNode *)malloc(sizeof(BSTreeNode));
- newNode->m_nValue = m;
- newNode->m_pleft = NULL;
- newNode->m_pright = NULL;
- insertNode(&root, &newNode);
- }
- print(root);
- newNode = first_node;
- while(newNode)
- {
- printf("%d ", newNode->m_nValue);
- newNode = newNode->m_pright;
- }
- }
- }
第二种方法: 利用分治思想,先处理左子树,后处理右子树,最后利用根结点将处理完的有序左子树与有序右子树连接起来,实现将二元查找树转换成有序双链表的目的。
- #define LEFT -1
- #define RIGHT 1
- BSTreeNode* change(BSTreeNode *node, int dir)
- {
- BSTreeNode *ptmp = NULL;
- BSTreeNode *pleft = NULL;
- BSTreeNode *pright = NULL;
- if(node->m_pleft)
- pleft = change(node->m_pleft, LEFT);
- if(node->m_pright)
- pright = change(node->m_pright, RIGHT);
- if(pleft)
- {
- node->m_pleft = pleft;
- pleft->m_pright = node;
- }
- if(pright)
- {
- node->m_pright = pright;
- pleft->m_pleft = node;
- }
- ptmp = node;
- if(dir == LEFT)
- {
- while(ptmp->m_pright)
- ptmp = ptmp->m_pright;
- }
- if(dir == RIGHT)
- {
- while(ptmp->m_pleft)
- ptmp = ptmp->m_pleft;
- }
- return ptmp;
- }
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