汉诺塔流程图

RT ,递归实现的
2024-12-01 13:50:22
推荐回答(3个)
回答1:

你好!

汉诺塔流程图:

void move(int , char ,char,char); /*声明函数,告诉系统我随后要定义一个函数,他不对其中参数进行检查,所以可以省略参数,一般只写类型,表示有多少个什么类型的参数,便于自己理解 */ 

main() 

{int n; 

printf("请输入盘数n=" ); 

scanf("%d",&n); 

printf("在3根柱子上移%d只盘的步骤为:\n",n); 

move(n,'a','b','c');}/*函数调用,用a,b,c代表3跟柱子,把盘子数,柱子代码传给函数*/ 

void move(int m, char p, char q, char r) //定义函数 

{if (m==1) 

{printf("[%d] move 1# from %c to %c\n", step, p,r); 

step=step+1;} 

else{move(m-1,p,r,q); //调用本身函数,进行递归 A 

printf("[%d] move %d# from %c to %c\n",step, m,p,r); 

step=step+1; 

move(m-1,q,p,r); //再次调用 B 

getch();} 

递归其实是嵌套调用,

所谓嵌套调用,就是在一个函数里调用另一个函数,

main函数不能被调用的,

所以递归就是有限次的嵌套调用本身函数

每次调用,系统都会重新分配内存,

返回时就返回上次调用他的那块内存中的调用函数处,

这样理解应该很简单了 

汉诺塔流程图解析:

这里面的递归涉及一个汉诺塔的算法问题,具体讲明白的话有点麻烦,总体思路是假设盘子全在a柱上,想放到c上 

第N个人就想要是有人搬动其他N-1个盘子到b,那他只要搬一次从a到c就可以,在让那个人把N-1个盘子放到c上 

第N-1那个人就想要是有人搬动其他N-2个盘子到c,他只要搬动一次从a到b就可以,在让那个人把N-2个盘子放到b上 

.... 

第1个人就直接把盘子从a到c 

这样形成递归 

我在俩处调用标记了A,B,我写出步踌,你看看. 

假设3个盘子 

A函数相当于双重循环中的外层循环 

B函数相当于双重循环中的内层循环 

1,主函数调用,p=a,q=b,r=c,m=3,运行A,调用本身(A第一次调用)传入p,r,q(a,c,b) 注意调用函数中p,r,q排列 

2,被调函数是用p,q,r的顺序接收传入的p,r,q.p=a,q=c,r=b,m=2,执行A,调用本身(A第二次调用) 调用传入p,r,q(a,b,c) 

3,p=a,q=b,r=c,m=1,执行if,输出a->c,返回A第二次调用 

4,本次函数中p=a,q=c,r=b,m=2,向下执行,输出a->b,执行B,调用本身(B第一次调用),传入q,p,r(c,a,b),m=1 

5,p=c,q=a,r=b,m=1,执行if,输出c->b,返回B第一次调用 

6,向下执行,执行完毕,返回A第一次调用 

7,本次函数中p=a,q=b,r=c,m=3,向下执行,输出a->c,执行B,调用本身(B第一次调用),传入q,p,r(b,a,c),m=2 

8,p=b,q=a,r=c,m=2,执行A,调用本身(A'第一次调用,注意是B函数调用中再次调用A) 传入p,r,q(b,c,a) 

9,p=b,q=c,r=a,m=1,执行if,输出b->a,返回A'第一次调用 

10,本次函数中p=b,q=a,r=c,m=2向下执行,输出b->c,执行B,调用本身(B'的第一次调用,注意是B函数中再次调用B) 传入q,p,r(a,b,c),m=1 

11,p=a,q=b,r=c,m=1,执行if,输出a->c返回B'第一次调用 

12,向下执行,执行完毕,返回B第一次调用 

13,向下执行,执行完毕,返回主函数 

仔细分析每次调用时当前变量p,q,r中所代表的a,b,c,每次调用时,p,q,r都是新的变量 

我看了你的问题,估计你把调用函数中的p,q,r变量与被调函数中p,q,r变量搞混了 

/* 

4,向下执行,执行B,调用本身(B第一次调用),由于本次函数中p=a,q=c,r=b,m=2,先输出a->b,再传入q=c,p=a,r=b,m=1 

这里不是[4] move 3# from a to c吗 

*/ 

注意调用传入的顺序是q,p,r,传入的值是c,a,b的顺序,被调函数中是拿p,q,r的顺序在接收,所以被调函数中值的顺序就该是p=c,q=a,r=b,执行if就输出c->b 

补充:流程图步骤画了好久额,有什么疑问发我邮箱315946173@qq.com

回答2:

汉诺塔5层攻略,先来看汉诺塔4盘讲解

回答3:

啥玩意儿?

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