idk why these stuffs get stashed for so long and I didn't ever commit them

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2025-11-06 09:43:54 +08:00
parent 5dbdfef1a1
commit e01c041259
232 changed files with 22806 additions and 1256 deletions

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Chapter5/BiTree/bitree.cpp Normal file
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#include<iostream>//cout,cin
#include<string>
using namespace std;
#include"bitree.h"
//测试参考数据
string fbt = "a b d # # e # # c f # # g # #"; // 满二叉树最后一层每个叶结点后有两个#
string cbt = "a b d # # e # # c # #"; // 完全二叉树每个叶结点后有两个#
string gbt = "a b # d # # c e # # #"; // 一般二叉树
string obt = "a b c d # # # # #"; // 左斜树1
void dispmenu()
{ //显示主菜单
cout << endl;
cout << "1-创建二叉树\n";
cout << "2-先序递归遍历二叉树\n";
cout << "3-中序递归遍历二叉树\n";
cout << "4-后序递归遍历二叉树\n";
cout << "5-层序遍历二叉树\n";
cout << "6-先序非递归遍历二叉树\n";
cout << "7-中序非递归遍历二叉树\n";
cout << "8-后序非递归遍历二叉树\n";
cout << "9-结点查询\n";
cout << "10-求二叉树高度\n";
cout << "11-求二叉树结点个数\n";
cout << "12-显示二叉树\n";
cout << "0 -退出\n";
}
int main()
{
int level;
BTNode<char>* bt;
system("cls"); // 清屏
int choice;
do
{
dispmenu(); // 显示主菜单
cout << "Enter choice(1~120 退出):";
cin >> choice;
switch (choice)
{
case 1: // 创建二叉树
cout << "测试参考数据:" << endl;
cout << "满二叉树:" << fbt << endl;
cout << "完全二叉树:" << cbt << endl;
cout << "一般二叉树:" << gbt << endl;
cout << "左斜二叉树:" << obt << endl;
cout << "请按先序序列的顺序输入二叉树,#为空指针域标志:" << endl;
CreateBiTree(bt);
break;
case 2: // 先序递归遍历二叉树
cout << "先序遍历序列为:" << endl;
PreOrDerBiTree(bt);
break;
case 3: // 中序递归遍历二叉树
cout << "中序遍历序列为:" << endl;
InOrDerBiTree(bt);
cout << endl;
break;
case 4: // 后序递归遍历二叉树
cout << "后序遍历序列为:" << endl;
PostOrDerBiTree(bt);
cout << endl;
break;
case 5: // 层序遍历二叉树
cout << "层序遍历序列为:" << endl;
cout << endl;
LevelBiTree(bt);
break;
case 6: // 先序非递归遍历二叉树
cout << "先序非递归遍历序列为:" << endl;
PreOrderBiTree_N(bt);
cout << endl;
break;
case 7: // 中序非递归遍历二叉树
cout << "中序非递归遍历序列为:" << endl;
InOrderBiTree_N(bt);
cout << endl;
break;
case 8: // 后序非递归遍历二叉树
cout << "后序非递归遍历序列为:" << endl;
cout << endl;
PostOrderBiTree_N(bt);
break;
case 9: // 结点查询
char e;
BTNode<char>* p;
cout << "输入要查询的结点值:" << endl;
cin >> e;
p = Search(bt, e);
if (p)
{
cout << "找到!";
cout << p->data << endl;
}
else
cout << "未找到!" << endl;
cout << endl;
break;
case 10: // 求二叉树高度
cout << "二叉树高度为:" << Depth(bt) << endl;
cout << endl;
break;
case 11: //求二叉树结点个数
cout << "二叉树结点数为:" << NodeCount(bt) << endl;
cout << endl;
break;
case 12: // 显示二叉树
cout << "2-显示二叉树" << endl;
level = 1;
DispBiTree(bt, level);
cout << endl;
break;
case 0: // 退出
DestroyBiTree(bt);
cout << "结束运行Bye-Bye!" << endl;
break;
default: // 无效选择
cout << "Invalid choice\n";
break;
}
} while (choice != 0);
return 0;
}

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Chapter5/BiTree/bitree.h Normal file
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template <class DT>
struct BTNode
{
DT data; //数据域
BTNode* lchild; //指向左子树的指针
BTNode* rchild; //指向右子树的指针
};
//队列工具
template <class DT>
struct SqQueue // 顺序队类
{
BTNode<DT>** base; // 队列首址
int front; // 队头指针
int rear; // 队尾指针
int queuesize; // 队容量
};
//栈
template <class DT>
struct SqStack // 顺序栈
{
BTNode<DT>** base; // 栈首址
int top; // 栈顶指针
int stacksize; // 栈容量
};
//算法5.1 先序遍历递归算法
template <class DT>
void PreOrDerBiTree(BTNode<DT>* bt)
{
if (bt != NULL)
{
cout << bt->data << ' '; //输出结点上的数据
PreOrDerBiTree(bt->lchild); //递归的调用前序遍历左子树
PreOrDerBiTree(bt->rchild); //递归的调用前序遍历右子树
}
return;
}
//算法5.2 中序遍历递归算法
template <class DT>
void InOrDerBiTree(BTNode<DT>* bt)
{
if (bt != NULL)
{
InOrDerBiTree(bt->lchild); //递归的调用中序遍历左子树
cout << bt->data << ' '; //输出结点上的数据
InOrDerBiTree(bt->rchild); //递归的调用中序遍历右子树
}
return;
}
//算法5.3 后序遍历递归算法
template <class DT>
void PostOrDerBiTree(BTNode<DT>* bt)
{
if (bt != NULL)
{
PostOrDerBiTree(bt->lchild); //递归的调用后序遍历左子树
PostOrDerBiTree(bt->rchild); //递归的调用后序遍历右子树
cout << bt->data << ' '; //输出结点上的数据
}
return;
}
//算法5.4 层序遍历算法
template<class DT>
void LevelBiTree(BTNode<DT>* bt)
{
SqQueue<DT> Q; // 创建一个队
int m = 20;
InitQueue(Q, m);
BTNode<DT>* p;
p = bt;
if (p) EnQueue(Q, p); // 树非空,入队
while (!QueueEmpty(Q)) // 队非空
{
DeQueue(Q, p); // 出队
cout << p->data; // 访问
if (p->lchild != NULL) // 有左孩子
EnQueue(Q, p->lchild); // 左孩子入队
if (p->rchild != NULL) // 有右孩子
EnQueue(Q, p->rchild); // 右孩子入队
}
DestroyQueue(Q); // 销毁队列
}
//算法5.5 先序非遍历递归算法
template <class DT>
void PreOrderBiTree_N(BTNode<DT>* bt)
{
SqStack<DT> S; // 创建栈
int m = 20;
InitStack(S, m);
BTNode<DT>* p;
p = bt;
while (p != NULL || !StackEmpty(S)) // 树非空或栈非空
{
while (p != NULL) // 结点非空
{
cout << p->data << ' '; // 访问结点
Push(S, p); // 入栈
p = p->lchild; // 转左子树
}
if (!StackEmpty(S)) // 栈非空
{
Pop(S, p); // 出栈
p = p->rchild; // 转出栈结点的右子树
}
}
DestroyStack(S); //销毁栈
}
//算法5.6 中序非遍历递归算法
template <class DT>
void InOrderBiTree_N(BTNode<DT>* bt)
{
SqStack<DT> S; // 创建一个栈
int m = 20;
InitStack(S, m);
BTNode<DT>* p;
p = bt;
while (p != NULL || !StackEmpty(S)) // 结点非空或栈非空
{
while (p != NULL) // 结点非空
{
Push(S, p); // 入栈
p = p->lchild; // 转出栈结点右子树
}
if (!StackEmpty(S)) // 栈非空
{
Pop(S, p); // 出栈
cout << p->data << ' '; // 访问出栈结点
p = p->rchild; // 转出栈结点的右子树
}
}
DestroyStack(S); // 销毁栈
}
//算法5.7 后序非遍历递归算法
template <class DT>
void PostOrderBiTree_N(BTNode<DT>* bt)
{
SqStack<DT> S; // 创建一个栈
int m = 20;
InitStack(S, m);
BTNode<DT>* p;
BTNode<DT>* r;
p = bt;
bool flag;
do
{
while (p) // 结点非空
{
Push(S, p); // 结点入栈
p = p->lchild; // 转左子树
}
r = NULL; // 指向刚被访问点,初值为空
flag = true; // true表示处理栈顶结点
while (!StackEmpty(S) && flag) // 栈非空且当前处理的是栈顶结点
{
GetTop(S, p); // 获取栈顶元素
if (p->rchild == r) // 如果 当前结点是栈元素的右孩子
{
cout << p->data << ' '; // 访问栈顶元素
Pop(S, p); // 出栈
r = p; // r指向被访问结点
}
else // 否则
{
p = p->rchild; // 转栈顶元素右孩子
flag = false; // 处理非栈顶结点
}
}
} while (!StackEmpty(S)); // 栈非空,循环
cout << endl;
DestroyStack(S); // 销毁栈
}
//算法5.8 创建二叉树
template <class DT>
void CreateBiTree(BTNode<DT>*& bt)
{
char ch;
cin >> ch; // 输入根结点的数据
if (ch == '#') // # 表示指针为空,说明树为空
bt = NULL;
else
{
bt = new BTNode<DT>; // 申请内存
if (!bt)
{
cout << "申请内存失败!" << endl;
exit(-1); // 申请内存失败退出
}
bt->data = ch;
CreateBiTree(bt->lchild); // 创建根结点左子树
CreateBiTree(bt->rchild); // 创建根结点右子树
}
return;
}
//算法5.9 销毁二叉树
template <class DT>
void DestroyBiTree(BTNode<DT>*& bt)
{
if (bt) // 树非空
{
DestroyBiTree(bt->lchild); // 销毁左子树
DestroyBiTree(bt->rchild); // 销毁右子树
delete bt;
}
}
//算法5.10 结点查找
template<class DT>
BTNode<DT>* Search(BTNode<DT>* bt, DT e) // 查找值为e的元素
{
BTNode<DT>* p;
if (bt == NULL) // 结点为空,返回
return NULL;
else if (bt->data == e) // 找到,返回结点指针
return bt;
else // 结点值不为e
{
p = Search(bt->lchild, e); // 在左子树上查找
if (p != NULL) // 找到
return p; // 返回结点指针
else // 未找到
return Search(bt->rchild, e); // 转右子树上查找
}
}
//算法5.11 求树深
template <class DT>
int Depth(BTNode<DT>* bt)
{
int hl, hr;
if (bt == NULL) // 树空
return 0; // 深度为0
else // 树非空
{
hl = Depth(bt->lchild); // 求左子树深度
hr = Depth(bt->lchild); // 求右子树深度
if (hl > hr) // 左子树高
return hl + 1; // 树高为左子树高加1
else return hr + 1; // 左子树高,树高为左子树高加1
}
}
//算法5.12 结点计数
template <class DT>
int NodeCount(BTNode<DT>* bt)
{
if (bt == NULL) // 空树结点数为0
return 0;
else // 非空树结点数为左、右子树结点数的和加1
return NodeCount(bt->lchild) + NodeCount(bt->rchild) + 1;
}
template <class DT>
void DispBiTree(BTNode<DT>* bt, int level) // 显示树
{
if (bt) //空二叉树不显示
{
DispBiTree(bt->rchild, level + 1); //显示右子树
cout << endl; //显示新行
for (int i = 0; i < level - 1; i++)
cout << " "; //确保在第level列显示节点
cout << bt->data; //显示节点
DispBiTree(bt->lchild, level + 1); //显示左子树
cout << endl;
}//if
}
template <class DT>
int leftCount(BTNode<DT>* bt)
{
if (bt->lchild == NULL && bt->rchild == NULL) // 空树结点数为0
return 0;
else // 非空树结点数为左、右子树结点数的和加1
return NodeCount(bt->lchild) + NodeCount(bt->rchild) + 1;
}
//【算法3.14】 初始化队列
template <class DT>
void InitQueue(SqQueue<DT>& Q, int m)
{
Q.base = new BTNode<DT>*[m]; // 申请队列空间
if (Q.base == NULL) // 申请空间失败
{
cout << "未创建成功!";
exit(1); // 退出
}
Q.front = Q.rear = 0; // 设置队列属性
Q.queuesize = m;
}
//算法3.15】 销毁列列
template <class DT>
void DestroyQueue(SqQueue<DT>& Q)
{
delete[] Q.base; // 释放队列空间
Q.front = Q.rear = 0; // 设置队列属性
Q.queuesize = 0;
}
//【算法3.16】 入队
template<class DT>
bool EnQueue(SqQueue<DT>& Q, BTNode<DT>* e)
{
if ((Q.rear + 1) % Q.queuesize == Q.front) // 队满
return false; // 返回false
Q.base[Q.rear] = e; // 出队
Q.rear = (Q.rear + 1) % Q.queuesize; // 修改队列属性
return true; // 返回true
}
//【算法3.17】 出队
template<class DT>
bool DeQueue(SqQueue<DT>& Q, BTNode<DT>*& e)
{
if (Q.front == Q.rear) // 队空
return false;
e = Q.base[Q.front];
Q.front = (Q.front + 1) % Q.queuesize;
return true; // 删除成功返回true
}
// 测队空
template<class DT>
bool QueueEmpty(SqQueue<DT> Q)
{
if (Q.front == Q.rear) // 队空
return true; // 返回true
else // 队不空
return false; // 返回false
}
//【算法3.1】 初始化栈
template <class DT>
void InitStack(SqStack<DT>& S, int m)
{
S.base = new BTNode<DT>*[m]; // 申请栈空间
if (S.base == NULL)
{
cout << "未创建成功!";
exit(1);
}
S.top = -1; // 空栈
S.stacksize = m; // 栈容量为m
}
//算法3.2】 销毁栈
template <class DT>
void DestroyStack(SqStack<DT>& S)//析构函数
{
delete[] S.base; //释放栈空间
S.top = -1;
S.stacksize = 0;
}
//【算法3.3】
template<class DT>
bool Push(SqStack<DT>& S, BTNode<DT>* e)
{
if (S.top == S.stacksize - 1) // 栈满,不能插入
return false;
S.top++;
S.base[S.top] = e;
return true; // 插入成功返回true
}
//【算法3.4】 出栈
template<class DT>
bool Pop(SqStack<DT>& S, BTNode<DT>*& e)
{
if (S.top == -1) //栈空
return false;
e = S.base[S.top];
S.top--;
return true; // 出栈成功返回true
}
template<class DT> // 获取栈元素
bool GetTop(SqStack<DT>& S, BTNode<DT>*& e)
{
if (S.top == -1) // 栈空返回false
return false;
e = S.base[S.top]; // 取栈元素
return true; // 返回true
}
// 测栈空
template<class DT>
bool StackEmpty(SqStack<DT> S)
{
if (S.top == -1) // 栈空返回true
return true;
else // 栈非空返回false
return false;
}

51
Chapter5/Chapter5.sln Normal file
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#include"iostream"
#include<iomanip>
#include<string>
using namespace std;
struct HTNode
{
int weight; // 权值,设为整型
int parent; // 双亲位置
int lchild; // 左孩子位置
int rchild; // 右孩子位置
};
void select(HTNode* HT, int k, int& i1, int& i2) // 在前K-1个结点中选择权值最小的两个根结点i和j
{
int m1, m2;
m1 = m2 = 32767; //
i1 = i2 = 0;
for (int j = 0; j < k; j++)
{
if (HT[j].weight < m1 && HT[j].parent == -1)
{
m2 = m1, i2 = i1;
m1 = HT[j].weight;
i1 = j;
}
else if (HT[j].weight < m2 && HT[j].parent == -1)
{
m2 = HT[j].weight;
i2 = j;
}
}
}
// 算法5.16 // 构造哈夫曼树
void HuffmanTree(HTNode*& HT, int* w, int n)
{ // n是叶子结点的个数w是叶子结点的权值数组
HTNode* p;
int k, i;
int i1, i2;
p = HT;
for (i = 0; i < 2 * n - 1; i++)
{ // 设置初始状态,所有结点的指针为空
HT[i].weight = 0;
HT[i].parent = -1;
HT[i].lchild = -1;
HT[i].rchild = -1;
}
for (i = 0; i < n; i++)
{ // 前n个结点的权值分别为个结点的权值
HT[i].weight = w[i];
}
for (k = n; k < 2 * n - 1; k++)
{ // 构造最优二叉树
select(HT, k, i1, i2); // 在前K-1个结点中选择权值最小的两个根结点i1和i2
HT[i1].parent = k;
HT[i2].parent = k;
HT[k].weight = HT[i1].weight + HT[i2].weight;
HT[k].lchild = i1;
HT[k].rchild = i2;
}
}
void DispHT(HTNode* HT, int n) // 显示哈夫曼树存储
{
HTNode* p;
p = HT;
cout << "k" << setw(7) << "Weight" << setw(7) << "parent"
<< setw(7) << "lchild" << setw(7) << "rchild" << endl;
for (int k = 0; k < 2 * n - 1; k++)
{
cout << k << setw(7) << (p + k)->weight << setw(7) << (p + k)->parent
<< setw(7) << (p + k)->lchild << setw(7) << (p + k)->rchild << endl;
}
}
//算法5.17 // 构建哈夫曼编码
void CreateHFCode(HTNode* HT, int n, char** HC)
{
int i, start, c, f;
char* cd;
cd = new char[n];
cd[n - 1] = '\0';
for (i = 0; i < n; i++)
{
start = n - 1;
c = i;
f = HT[i].parent;
while (f != -1)
{
if (HT[f].lchild == c)
cd[--start] = '0';
else
cd[--start] = '1';
c = f; f = HT[f].parent;
}
cout << endl;
HC[i] = new char[n - start];
HC[i] = &cd[start];
int j = 0;
while (HC[i][j] != '\0') // 显示编码
{
cout << HC[i][j];
j++;
}
}
delete cd;
cout << endl;
}
int op;
int main()
{
int* w; // 权值数组
int n; // 权值个数
int i; // 工作变量
HTNode* HT; // 哈夫曼树
char** HC;
do
{
cout << "1-输入结点权值" << endl;
cout << "2-生成最优二叉树" << endl;
cout << "3-求哈夫曼编码" << endl;
cout << "4-退出程序" << endl;
cout << "请选择操作(1~4)";
cout << "\b\b";
cin >> op;
switch (op)
{
case 1:
cout << "测试案例" << endl;
cout << "7,5,2,3,5,6" << endl;
cout << "请输入结点的个数:";
cin >> n;
w = new int[n];
cout << "请依次输入权值:" << endl;
for (i = 0; i < n; i++)
{
cout << "请输入第" << i + 1 << "个权值:";
cin >> w[i];
}
break;
case 2:
HT = new HTNode[2 * n - 1]; // 申请最优二叉树存储空间
HuffmanTree(HT, w, n);
cout << "创建的哈夫曼树为:\n";
DispHT(HT, n);
system("pause");
break;
case 3:
HC = new char* [n]; // 存储哈示曼编码
cout << "哈夫曼编码为:\n";
CreateHFCode(HT, n, HC);
break;
case 4:
cout << "结束运行Bye-Bye!" << endl;
break;
}
} while (op != 4);
return 0;
}

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#include<iostream>//cout,cin
#include<string>
using namespace std;
template<class DT>
struct ThrBTNode
{
DT data; // 数据域
int lflag; // 左标志域
int rflag; // 右标志域
ThrBTNode* lchild; // 左指针域
ThrBTNode* rchild; // 右指针域
};
template <class DT> // 创建二叉树
void CreateBiTree(ThrBTNode<DT>*& bt)
{ // 按先序序列的顺序输入二叉树,#为空指针域标志;
char ch;
cin >> ch; // 输入根结点的数据
if (ch == '#') // # 表示指针为空,说明树为空
bt = NULL;
else
{
bt = new ThrBTNode<DT>; // 新建结点
if (!bt)
{
cout << "申请内存失败!" << endl;
exit(-1); // 申请内存失败退出
}
bt->lflag = 0; // 非线索
bt->rflag = 0; // 非线索
bt->data = ch;
CreateBiTree(bt->lchild); // 递归创建根结点左子树
CreateBiTree(bt->rchild); // 递归创建根结点右子树
}
return;
}
ThrBTNode<char>* pre;
//算法5.13 中序线索化二叉树
template <class DT>
void InThread(ThrBTNode<DT>*& p)
{
if (p != NULL) // 结点非空
{
InThread(p->lchild); // 中序线索化左子树
if (p->lchild == NULL) // 结点无左孩子
{
p->lflag = 1; // 设置前驱线索标识
p->lchild = pre; // 左孩子指向结点遍历前驱
}
if (pre->rchild == NULL) // 结点无右孩子
{
pre->rflag = 1; // 设置后继线索标识
pre->rchild = p; // 右孩子指向结点遍历后继
}
pre = p; // 前驱指向当前结点
InThread(p->rchild); // 中序线索化右子树
}
}
template<class DT> // 构建线索二叉树
ThrBTNode<DT>* CreateInThread(ThrBTNode<DT>*& bt)
{
ThrBTNode<DT>* root;
root = new ThrBTNode<DT>; // 创建头结点
root->lflag = 0;
root->rflag = 1;
root->rchild = bt;
if (bt == NULL)
root->lchild = root;
else
{
root->lchild = bt;
pre = root;
InThread(bt); // 中序线索化二叉树
pre->rchild = root; // 设置循环链表
pre->rflag = 1;
root->rchild = pre;
}
return root;
}
//算法5.15 中序遍历中序线索二叉树
template<class DT>
void InThrBiTree(ThrBTNode<DT>* bt)
{
ThrBTNode<DT>* p;
p = bt->lchild; // 从根结点开始
while (p != bt) // 结点非空
{
while (p->lflag == 0) // 有左孩子
p = p->lchild; // 一路左行
cout << p->data; // 访问结点
while (p->rflag == 1 && p->rchild != bt) // 有后继线索且非空
{
p = p->rchild; // 转向后继
cout << p->data << " "; // 访问后继结点
}
p = p->rchild; // 无后继线索,转向右子树
}
}
template <class DT> // 显示线索二叉树
void DispBiTree(ThrBTNode<DT>* bt, int level)
{
if (bt) // 空二叉树不显示
{
DispBiTree(bt->rchild, level + 1); // 显示右子树
cout << endl; // 显示新行
for (int i = 0; i < level - 1; i++)
cout << " "; // 确保在第level列显示节点
cout << bt->data; // 显示节点
DispBiTree(bt->lchild, level + 1); // 显示左子树
cout << endl;
}//if
}//DisplayBTree
//算法5.9 销毁二叉树
template <class DT>
void DestroyThrBiTree(ThrBTNode<DT>*& bt)
{
if (bt)
{
DestroyThrBiTree(bt->lchild);
DestroyThrBiTree(bt->rchild);
delete bt;
}
}
void dispmenu()
{ // 显示主菜单
cout << endl;
cout << "1-创建二叉树\n";
//cout<<"2-先序线索化二叉树的先序遍历\n";
//cout<<"3-先序遍历先序线索化二叉树\n";
cout << "4-中序线索化二叉树\n";
cout << "5-中序遍历中序线索二叉树\n";
cout << "6-显示二叉树\n";
cout << "7-退出\n";
}
// 测试数据
string fbt = "a b d # # e # # c f # # g # #"; // 满二叉树最后一层每个叶结点后有两个#
string cbt = "a b d # # e # # c # #"; // 完全二叉树每个叶结点后有两个#
string gbt = "a b # d # # c e # # #"; // 一般二叉树
string obt = "a b c d # # # # #"; // 左斜树
int main()
{
//char pause;
int level;
ThrBTNode<char>* bt;
system("cls"); // 清屏
int choice;
do
{
dispmenu(); //显示主菜单
cout << "Enter choice(1~7):";
cin >> choice;
switch (choice)
{
case 1: //创建二叉树
cout << "测试数据参考:" << endl;
cout << "满二叉树:" << fbt << endl;
cout << "完全二叉树:" << cbt << endl;
cout << "一般二叉树:" << gbt << endl;
cout << "左斜二叉树:" << obt << endl;
cout << "请按先序序列的顺序输入二叉树,#为空指针域标志:" << endl;
CreateBiTree(bt);
break;
case 2://先序线索化二叉树
//PreThread(bt);
//cin.get(pause);
//system("pause");
break;
case 3://先序遍历先线索化二叉树
//PreOrDerBiTree(bt);
//cin.get(pause);
//system("pause");
//breCreateInThread(bt);
case 4: //中序线索化二叉树
bt = CreateInThread(bt);
cout << "中序线索化成功!";
cout << endl;
break;
case 5: //中序遍历中序线索二叉树
cout << "中序遍历序列为:" << endl;
cout << endl;
InThrBiTree(bt);
break;
case 6: //显示二叉树
cout << "2-显示二叉树" << endl;
level = 1;
DispBiTree(bt, level);
cout << endl;
break;
case 7://退出
cout << "结束运行!" << endl;
DestroyThrBiTree(bt);
break;
default://非法选择
cout << "Invalid choice\n";
break;
}
} while (choice != 7);
return 0;
}

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