Programming Solution: the Towers of Hanoi
Submitted by taoyue on Thu, 01/06/2011 - 21:01
(* Author: Tao Yue
Date: 13 July 2000
Description:
Solves the Towers of Hanoi
Version:
1.0 - original version
*)
program TowersofHanoi;
var
numdiscs : integer;
(********************************************************)
procedure DoTowers (NumDiscs, OrigPeg, NewPeg, TempPeg : integer);
(* Explanation of variables:
Number of discs -- number of discs on OrigPeg
OrigPeg -- peg number of the tower
NewPeg -- peg number to move the tower to
TempPeg -- peg to use for temporary storage
*)
begin
(* Take care of the base case -- one disc *)
if NumDiscs = 1 then
writeln (OrigPeg, ' ---> ', NewPeg)
(* Take care of all other cases *)
else
begin
(* First, move all discs except the bottom disc
to TempPeg, using NewPeg as the temporary peg
for this transfer *)
DoTowers (NumDiscs-1, OrigPeg, TempPeg, NewPeg);
(* Now, move the bottommost disc from OrigPeg
to NewPeg *)
writeln (OrigPeg, ' ---> ', NewPeg);
(* Finally, move the discs which are currently on
TempPeg to NewPeg, using OrigPeg as the temporary
peg for this transfer *)
DoTowers (NumDiscs-1, TempPeg, NewPeg, OrigPeg)
end
end;
(********************************************************)
begin (* Main *)
write ('Please enter the number of discs in the tower ===> ');
readln (numdiscs);
writeln;
DoTowers (numdiscs, 1, 3, 2)
end. (* Main *)
Date: 13 July 2000
Description:
Solves the Towers of Hanoi
Version:
1.0 - original version
*)
program TowersofHanoi;
var
numdiscs : integer;
(********************************************************)
procedure DoTowers (NumDiscs, OrigPeg, NewPeg, TempPeg : integer);
(* Explanation of variables:
Number of discs -- number of discs on OrigPeg
OrigPeg -- peg number of the tower
NewPeg -- peg number to move the tower to
TempPeg -- peg to use for temporary storage
*)
begin
(* Take care of the base case -- one disc *)
if NumDiscs = 1 then
writeln (OrigPeg, ' ---> ', NewPeg)
(* Take care of all other cases *)
else
begin
(* First, move all discs except the bottom disc
to TempPeg, using NewPeg as the temporary peg
for this transfer *)
DoTowers (NumDiscs-1, OrigPeg, TempPeg, NewPeg);
(* Now, move the bottommost disc from OrigPeg
to NewPeg *)
writeln (OrigPeg, ' ---> ', NewPeg);
(* Finally, move the discs which are currently on
TempPeg to NewPeg, using OrigPeg as the temporary
peg for this transfer *)
DoTowers (NumDiscs-1, TempPeg, NewPeg, OrigPeg)
end
end;
(********************************************************)
begin (* Main *)
write ('Please enter the number of discs in the tower ===> ');
readln (numdiscs);
writeln;
DoTowers (numdiscs, 1, 3, 2)
end. (* Main *)