汉诺塔问题

大一的时候学C语言时,在递归部分讲过汉诺塔问题,但那时只是勉强懂了而已,没有上机实验,在三年后,终于重新拾起了这个问题,并且写了程序跑了跑,不错,感觉挺清楚了。也更加地理解了递归:

现在总结一下:


    要 将柱A的n个盘子通过柱B全部移到柱C:

       步骤可拆分下:
  1.     将柱A上面n-1个盘子通过柱C全部移到柱B;
  2.     将柱A上1的第n个盘子直接移动到C
  3.     将柱B上面n-1个盘子通过柱A全部移到柱C;
完成上面3部就可以完成任务
代码如下:
#include<stdio.h>
/*
	Name: tower of Hanoi
	Copyright: 
	Author: demosees
	Date: 22/03/17 22:00
	Description: transfer n dishes from 1 to 3 via 2 with 1 dish a time.the big dish
	             must always be under the small;
	
*/

void Move(int n,int start,int temp,int goal)/*solved by recursion*/ 
{
	/*termination condition*/ 
	if (n==1)                
	printf("Move disk  %d from %d to %d\n",n,start,goal);
	else
{
		Move(n-1,start,goal,temp);/*transfer n-1 form 1 to 2 via 3*/
		printf("Move disk  %d from %d to %d\n",n,start,goal);/*transfer the n"th" from 1 to 3*/ 
		Move(n-1,temp,start,goal);/*transfer n-1 form 2 to 3 via 1*/
	}
}
int main()
{
	int n;
	/*input the number  of dishes*/ 
	scanf("%d",&n); 
	/*call the function*/
	Move(n,1,2,3);
	return 0;
	
}


posted @ 2017-03-22 22:17  jacksin  阅读(173)  评论(0编辑  收藏  举报