#include
#include
#include
#include
#define ElemType int
using namespace std;
typedef struct BiTNode{
ElemType data;
struct BiTNode *lchild,*rchild;
}TNode,*Tree;
int treenum[]={1,2,4,0,0,5,0,0,3,0,0};
int k;
void createTree(Tree &T,int &k)
{
ElemType n;
// printf("输入为0停止!\n");
// scanf("%d",&n);
if(treenum[k]==0){
T=NULL;
k++;
}
else{
T=new TNode;
T->data=treenum[k];
k++;
// cout<<"T="<data<<"k="<lchild,k);
createTree(T->rchild,k);
}
}
//先序遍历
int PreTree(Tree &T)
{
if(T==NULL){
return 0;
}
else{
cout<data;
PreTree(T->lchild);
PreTree(T->rchild);
}
}
//中序和先序构建二叉树
Tree PreInCreat(ElemType Pre[],ElemType In[],int PreBegin,int PreEnd,int InBegin,int InEnd){
if(PreBegin>PreEnd){ //结束条件:“当前节点为叶子节点”
return NULL;
}
// if(PreBegin>PreEnd){
// return NULL;
// }
TNode *node=new TNode;
node->data=Pre[PreBegin];
int index=0;
for(int i=InBegin;i<=InEnd;i++) //中序遍历得index
{
if(In[i]==Pre[PreBegin]){
index=i;
break;
}
}
node-> lchild = PreInCreat(Pre,In,PreBegin+1, PreBegin+index-InBegin, InBegin, index-1);//递归求左
node-> rchild = PreInCreat(Pre,In,PreBegin+index-InBegin+1, PreEnd, index+1, InEnd);//递归求右
return node;
}
//中序和后序构建二叉树
Tree PostInCreat(ElemType Post[],ElemType In[],int PostBegin,int PostEnd,int InBegin,int InEnd){
if(PostBegin>PostEnd||InBegin>InEnd){ //结束条件:“当前节点为叶子节点”
return NULL;
}
TNode *node=new TNode;
node->data=Post[PostEnd];
int index=0;
for(int i=InBegin;i<=InEnd;i++) //中序遍历得index
{
if(In[i]==Post[PostEnd]){
index=i;
break;
}
}
node-> lchild = PostInCreat(Post,In,PostBegin, PostBegin+index-InBegin-1, InBegin, index-1);//递归求左 后序+的是左孩子个数
node-> rchild = PostInCreat(Post,In,PostBegin+index-InBegin, PostEnd-1, index+1, InEnd);//递归求右 //后序+有孩子个数
return node;
}
int main()
{
Tree T;
ElemType Pre[]={1,2,4,5,3};
ElemType Inter[]={4,2,5,1,3};
ElemType Post[]={4,5,2,3,1};
int PreBegin=0;
int PreEnd=4;
int InBegin=0;
int InEnd=4;
int PostBegin=0;
int PostEnd=4;
// T=PreInCreat(Pre,Inter,PreBegin,PreEnd,InBegin,InEnd);
T=PostInCreat(Post,Inter,PostBegin,PostEnd,InBegin,InEnd);
PreTree(T);
return 0;
}
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