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c语言数据结构(数组树)


/************************************************************************/
/* 树
课程要求:完成树的基本操作
1. 树的创建和销毁
2. 树中节点的搜索
3. 树中节点的添加与删除
4. 树中节点的遍历

BOOL CreateTree(Tree **pTree, Node *pRoot);//Tree **pTree 树,Node *pRoot 根节点 //创建树
void DestroyTree(Tree *pTree); //销毁树
Node *SearchNode(Tree *pTree, int nodeIndex); //int nodeIndex数组的下标 //根据索引寻找节点
BOOL AddNode(Tree *pTree, int nodeIndex, int direction, Node *pNode);//int direction添加到左边还是右边 Node *pNode添加的节点 //添加节点
BOOL DeleteNode(Tree *pTree, int nodeIndex, Node *pNode); //int nodeIndex从哪个节点删除 //删除节点
void PreorderTraversal(Tree *pTree); //前(先)序遍历演示
void InorderTraversal(Tree *pTree); //中序遍历演示
void PostorderTraversal(Tree *pTree); //后序遍历演示
void TreeTraverse(Tree *pTree); //遍历



关于数组与树之间的算法转换

int 3 5 8 2 6 9 7 规律解析: 父亲结点下标*2+1 该结点左

父亲结点下标*2+2 该结点右
3(0)

5(1) 8(2)

2(3) 6(4) 9(5) 7(6)
*/
/************************************************************************/

#include <stdio.h>
#include <stdlib.h>

#define MAX_NODE 20
#define LEFT 1
#define RIGHT 2
#define FALSE 0
#define TRUE 1
#define BOOL int

typedef struct tag_node
{
int data;
}Node;

typedef struct tag_tree
{
Node *root;
}Tree;

BOOL CreateTree(Tree **pTree, Node *pRoot)
{
*pTree = (Tree *)malloc(sizeof(Tree));//树容器的大小
if(*pTree == NULL)
{
return FALSE;
}

(*pTree)->root = (Node *)malloc(sizeof(Node) * MAX_NODE);//树容器里面的全部元素的大小
if((*pTree)->root == NULL)//分配内存失败
{
free(*pTree);//释放树容器内存
return FALSE;
}
for(int i = 0; i < MAX_NODE; i++)
{
(*pTree)->root[i].data = 0;
}
(*pTree)->root[0] = *pRoot; //意思是把根节点放进树里面(*pTree)->root[0].data = pRoot->data;
return TRUE;
}

void DestroyTree(Tree *pTree)
{
free(pTree->root);//释放根节点
pTree->root = NULL;
free(pTree);//释放树容器
pTree = NULL;
}

Node *SearchNode(Tree *pTree, int nodeIndex)
{
if(nodeIndex < 0 || nodeIndex >= MAX_NODE)//数组的索引必须大于等于0。或者小于#define MAX_NODE 20就行
{
return NULL;
}

if(pTree->root[nodeIndex].data == 0)//如果当前节点为0
{
return NULL;
}
else
{
return &(pTree->root[nodeIndex]);//节点本身的地址传过去
}
}

//BOOL SearchNode(Tree *pTree, int nodeIndex, Node *node)
//{
// if(nodeIndex < 0 || nodeIndex >= MAX_NODE)
// {
// return FALSE;
// }
//
// if(pTree->root[nodeIndex].data == 0)
// {
// return FALSE;
// }
// else
// {
// node->data = pTree->root[nodeIndex].data; //*node = pTree->root[nodeIndex];
//
//
// return TRUE;
// }
//}

BOOL AddNode(Tree *pTree, int nodeIndex, int direction, Node *pNode)
{
if(nodeIndex < 0 || nodeIndex >= MAX_NODE)
{
return FALSE;
}

if(pTree->root[nodeIndex].data == 0)
{
return FALSE;
}

pTree->root[nodeIndex * 2 + direction].data = pNode->data; //pTree->root[nodeIndex * 2 + direction] = *pNode;


return TRUE;
}

BOOL DeleteNode(Tree *pTree, int nodeIndex, Node *pNode)
{
if(nodeIndex < 0 || nodeIndex >= MAX_NODE)
{
return FALSE;
}

if(pTree->root[nodeIndex].data == 0)
{
return FALSE;
}

*pNode = pTree->root[nodeIndex];

pTree->root[nodeIndex].data = 0;



return TRUE;
}

void TreeTraverse(Tree *pTree)
{
for(int i = 0; i < MAX_NODE; i++)//遍历节点
{
printf("%d ", pTree->root[i].data);
}
}

int main(void)
{
Tree *pTree = NULL;
Node node = {3};
Node node1 = {5};
Node node2 = {8};
Node node3 = {2};
Node node4 = {6};
Node node5 = {9};
Node node6 = {7};

CreateTree(&pTree, &node);

AddNode(pTree, 0, LEFT, &node1);

AddNode(pTree, 0, RIGHT, &node2);

AddNode(pTree, 1, LEFT, &node3);

AddNode(pTree, 1, RIGHT, &node4);

AddNode(pTree, 2, LEFT, &node5);

AddNode(pTree, 2, RIGHT, &node6);

TreeTraverse(pTree);

DestroyTree(pTree);

system("pause");
return 0;
}



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