判断给定二叉树是否是完全二叉树
#define _CRT_SECURE_NO_WARNINGS
#include <iostream>
using namespace std;
typedef char ElemType;
#define ERROR 0
#define OK 1
#define Maxsize 100
#define STR_SIZE 1024
typedef struct BiTNode
{
ElemType data;
BiTNode* lchild, * rchild;
}BiTNode, * BiTree;
void draw(BiTNode* root);
//-------------------------队列操作---------------------------//
typedef struct Queue
{
BiTNode* data[Maxsize];
int front;
int rear;
}Queue;
void Init_Queue(Queue& Q)
{
Q.front = Q.rear = 0;
}
bool Empty_Queue(Queue& Q)
{
if (Q.front == Q.rear)
{
cout << "队列为空" << endl;;
return OK;
}
return ERROR;
}
bool Enter_Queue(Queue& Q, BiTNode* x)
{
if ((Q.rear + 1) % Maxsize == Q.front)
{
cout << "队列已满,无法继续入队!!!" << endl;
return ERROR;
}
Q.data[Q.rear] = x;
Q.rear = (Q.rear + 1) % Maxsize;
return OK;
}
bool Leave_Queue(Queue& Q, BiTNode*& x)
{
if (Q.rear == Q.front)
{
cout << "队列为空,无法出队!!!" << endl;
return ERROR;
}
x = Q.data[Q.front];
//cout << "出队元素为:" << x->data << endl;//
Q.front = (Q.front + 1) % Maxsize;
return OK;
}
//-------------------------队列操作---------------------------//
bool Create_tree(BiTree& T) //递归创建二叉树
{
ElemType x = 0;
cin >> x;
if (x == '#')
{
T = NULL;
}
else
{
T = (BiTree)malloc(sizeof(BiTNode));
if (T == NULL)
{
cout << "内存无法分配!!!" << endl;
return ERROR;
}
T->data = x;
T->lchild = NULL;
T->rchild = NULL;
Create_tree(T->lchild);
Create_tree(T->rchild);
}
return OK;
}
void PreOrder(BiTree T) //前序遍历非递归
{
if (T != NULL)
{
cout << T->data;
PreOrder(T->lchild);
PreOrder(T->rchild);
}
}
void InOrder(BiTree T) //中序遍历非递归
{
if (T != NULL)
{
InOrder(T->lchild);
cout << T->data;
InOrder(T->rchild);
}
}
void PostOrder(BiTree T) //后序遍历非递归
{
if (T != NULL)
{
PostOrder(T->lchild);
PostOrder(T->rchild);
cout << T->data;
}
}
//---------------------------------核心代码---------------------------------//
bool judge_wanquan_bitree(BiTree T)
{
if (T == NULL)
{
cout << "二叉树为空!!!" << endl;
return ERROR;
}
Queue Q;
Init_Queue(Q);
BiTNode* p = T;
Enter_Queue(Q, p);
while (Empty_Queue(Q)!=OK)
{
Leave_Queue(Q, p);
if (p != NULL)
{
Enter_Queue(Q, p->lchild);
Enter_Queue(Q, p->rchild);
}
else
{
while (Empty_Queue(Q) != OK)
{
Leave_Queue(Q, p);
if (p != NULL)
return ERROR;
}
}
}
return OK;
}
//---------------------------------核心代码---------------------------------//
//判断给定二叉树是否是完全二叉树
//测试树1:124###3##
//测试树2:124###35###
int main(void)
{
cout << "//------生成一颗树---------//" << endl;
BiTree T = NULL;
Create_tree(T);
PreOrder(T);
cout << endl;
InOrder(T);
cout << endl;
PostOrder(T);
cout << endl;
cout << "//------生成一颗树---------//" << endl;
cout << "//------原始树图形---------//" << endl;
draw(T);
cout<<"输入的二叉树是否为完全二叉树,1代表是,0代表不是:"<<judge_wanquan_bitree(T);
return 0;
}
//参考博客:https://blog.csdn.net/weixin_42109012/article/details/92250160
/*****************************************************************************
* @date 2020/4/19
* @brief 水平画树
* @param node 二叉树节点
* @param left 判断左右
* @param str 可变字符串
*****************************************************************************/
void draw_level(BiTNode* node, bool left, char* str) {
if (node->rchild) {
draw_level(node->rchild, false, strcat(str, (left ? "| " : " ")));
}
printf("%s", str);
printf("%c", (left ? '\\' : '/'));
printf("-----");
printf("%c\n", node->data);
if (node->lchild) {
draw_level(node->lchild, true, strcat(str, (left ? " " : "| ")));
}
// " " : "| " 长度为 6
str[strlen(str) - 6] = '\0';
}
/*****************************************************************************
* @date 2020/4/19
* @brief 根节点画树
* @param root 二叉树根节点
*****************************************************************************/
void draw(BiTNode* root) {
char str[STR_SIZE];
memset(str, '\0', STR_SIZE);
/**
* 1. 在 windows 下,下面是可执行的
* 2. 在 Linux 下,执行会报 Segmentation fault
* 需要使用中间变量
*/
if (root->rchild) {
draw_level(root->rchild, false, str);
}
printf("%c\n", root->data);
if (root->lchild) {
draw_level(root->lchild, true, str);
}
}