汉罗塔非递归_汉诺塔递归原理

/*汉诺塔递归和非递归算法实现*/
#include <iostream>
using namespace std;
typedef struct Tower{
    int height;
    char a,b,c;
}Tower;
typedef struct Node{
    Tower element;
    Node* pNext;
}Node,*LinkList;
typedef struct  
{
    LinkList Top;
}Stack;
void InitStack(Stack& stack)
{
    stack.Top=(LinkList)malloc(sizeof(Node));
    stack.Top->pNext=NULL;
}
void DestroyStack(Stack& stack)
{
    free(stack.Top);
    stack.Top=NULL;
}
void Push(Stack& stack,int height,char a,char b,char c)
{
    LinkList temp=(LinkList)malloc(sizeof(Node));
    temp->element.height=height;
    temp->element.a=a;
    temp->element.b=b;
    temp->element.c=c;
    temp->pNext=stack.Top->pNext;
    stack.Top->pNext=temp;
}
Tower Pop(Stack& stack)
{
    LinkList temp=stack.Top->pNext;
    stack.Top->pNext=temp->pNext;
    Tower element=temp->element;
    free(temp);
    return element;
}
int EmptyStack(Stack stack)
{
    if (stack.Top->pNext==NULL)
    {
        return 1;
    } 
    else
    {
        return 0;
    }
}
void main()
{
    
    Stack stack;
    InitStack(stack);
    Push(stack,10,'A','B','C');
    while (!EmptyStack(stack))
    {
        Tower temp=Pop(stack);
        if (temp.height==1)
        {
            cout<<temp.a<<"-->"<<temp.c<<endl;
        }
        else
        {
            Push(stack,temp.height-1,temp.b,temp.a,temp.c);
            Push(stack,1,temp.a,temp.b,temp.c);
            Push(stack,temp.height-1,temp.a,temp.c,temp.b);
        }
    }
    DestroyStack(stack);
}