c - moving of disc in tower of hanoi -

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please explain me recursion process step step using f7.

i can't correlate return flow of control.

#include<stdio.h> #include<conio.h>  void t_of_h(char, char, char, int);  void main() {     int n;     clrscr();      printf("enter no of disc in tower of hanoi : ");     scanf("%d",&n);      printf("\ntower of hanoi using %d discs\n",n);      t_of_h('x', 'y', 'z', n);     getch(); }  void t_of_h(char p1, char p2, char p3, int n) {    if(n==0)      printf("unsuccessful move\n");    if(n==1)      printf("move disc %c %c\n",p1,p3);    else    {       t_of_h(p1,p3,p2,n-1);       t_of_h(p1,p2,p3,1);       t_of_h(p2,p1,p3,n-1);    } }

how move n disks tower tower b?

  1. move n-1 disks tower tower c.
  2. move bottom disk tower tower b.
  3. move n-1 disks tower c tower b.

the code pretty direct implementation of that. if assume can move arbitrary number of disks 1 tower another, works. how move n-1 disks tower tower c? well, move n-2 disks tower tower b, move n-1th disk tower tower c, move n-2 disks form tower b tower c. , repeat...

eventually, recursion stops because have single disk move.

an interesting exercise "write test harness ensures no invalid moves ever made".

ok - i've run code. visualization of process gruesome. hard see going on. direct report of algorithm does. what?

1 disk

enter no of disc in tower of hanoi : 1  tower of hanoi using 1 discs move disc x z

2 disks

enter no of disc in tower of hanoi : 2  tower of hanoi using 2 discs move disc x y move disc x z move disc y z

note moving disks x z. how move 2 disks x z? move top disk x y. move bottom disk x z. move original top disk y z.

3 disks

enter no of disc in tower of hanoi : 3  tower of hanoi using 3 discs move disc x z move disc x y move disc z y move disc x z move disc y x move disc y z move disc x z

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