先序递归遍历:
A B D E C F G
中序递归遍历:
D B E A F C G
后序递归遍历:
D E B F G C A
层序递归遍历:
ABCDEFG
先序非递归遍历:
A B D E C F G
中序非递归遍历:
D B E A F C G
后序非递归遍历:
D E B F G C A
深度:
请按任意键继续. . .
</div>
#define OK 1
#define ERROR 0
#define TRUE 1
#define FALSE 0
#define OVERFLOW -1
#define STACK_INIT_SIZE 100
#define STACKINCREMENT 10
typedef int Status;
typedef char ElemType;
typedef struct BTNode
{
ElemType data;
struct BTNode *leftChild;
struct BTNode *rightChild;
}BTNode, *BinTree;
typedef BinTree SElemType;
typedef struct{//栈结构定义
SElemType *base;
SElemType *top;
int stacksize;
}SqStack;
BinTree CreateBinTree(BinTree T);
Status Visit(ElemType e);
Status Depth(BinTree T);
Status PreOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
Status InOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
Status PostOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
Status LevelOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
//定义栈的相关操作
Status InitStack(SqStack *S);
Status DestroyStack(SqStack *S);
Status ClearStack(SqStack *S);
Status StackEmpty(SqStack S);
int StackLength(SqStack S);
Status GetTop(SqStack S,SElemType *e);
Status Push(SqStack *S,SElemType e);
Status Pop(SqStack *S,SElemType *e);
Status StackTraverse(const SqStack *S);
Status PreOrderNoneRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
Status InOrderNoneRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
Status PostOrderNoneRecursionTraverse(BinTree T, Status (*Visit)(ElemType e));
int main()
{
int depth;
BinTree Tree = NULL;
Status(*visit)(ElemType e) = Visit;
printf_s("请按先序遍历输入二叉树元素(每个结点一个字符,空结点为'='):\n");
Tree = CreateBinTree(Tree);
printf_s("\n先序递归遍历:\n");
PreOrderRecursionTraverse(Tree,visit);
printf_s("\n中序递归遍历:\n");
InOrderRecursionTraverse(Tree,visit);
printf_s("\n后序递归遍历:\n");
PostOrderRecursionTraverse(Tree,visit);
printf_s("\n层序递归遍历:\n");
LevelOrderRecursionTraverse(Tree,visit);
printf_s("\n先序非递归遍历:\n");
PreOrderNoneRecursionTraverse(Tree,visit);
printf_s("\n中序非递归遍历:\n");
InOrderNoneRecursionTraverse(Tree,visit);
printf_s("\n后序非递归遍历:\n");
PostOrderNoneRecursionTraverse(Tree,visit);
printf_s("\n深度:\n");
depth = Depth(Tree);
printf_s("%d\n", depth);
system("pause");
return 0;
}
//创建二叉树
BinTree CreateBinTree(BinTree T)
{
char ch;
scanf_s("%c", &ch);
if (ch == '=')
{
T = NULL;
}
else
{
if (!(T=(BTNode *) malloc(sizeof(BTNode))))
{
exit(OVERFLOW);
}
T->data = ch; //生成根结点
T->leftChild = CreateBinTree(T->leftChild);
T->rightChild = CreateBinTree(T->rightChild);
}
return T;
}
//访问二叉树
Status Visit(ElemType e)
{
if (e == '\0')
{
return ERROR;
}
else
{
printf_s("%c ", e);
}
return OK;
}
//先序遍历递归算法
Status PreOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e))
{
if (T)
{
if (!Visit(T->data))
{
return ERROR;
}
PreOrderRecursionTraverse(T->leftChild, Visit);
PreOrderRecursionTraverse(T->rightChild, Visit);
}
return OK;
}
//中序遍历递归算法
Status InOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e))
{
if (T)
{
InOrderRecursionTraverse(T->leftChild, Visit);
if (!Visit(T->data))
{
return ERROR;
}
InOrderRecursionTraverse(T->rightChild, Visit);
}
return OK;
}
//后序遍历递归算法
Status PostOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e))
{
if (T)
{
PostOrderRecursionTraverse(T->leftChild, Visit);
PostOrderRecursionTraverse(T->rightChild, Visit);
if (!Visit(T->data))
{
return ERROR;
}
}
return OK;
}
//层序遍历递归算法
Status LevelOrderRecursionTraverse(BinTree T, Status (*Visit)(ElemType e))
{
if (T)
{
BTNode *Q[100];//假设不溢出
int front = -1,rear = -1;
if (T)
{
Q[++rear] = T;
printf_s("%c", T->data);
while (front != rear)
{
&nb