ZX-News #09 15 октября 1996

Игры

Games - The history of the game "tag" and how to play this game.

                   Games



            Alex Mikhailov, 1996



                Fiveteens

         Greedy guys group, 1996


  Not so long ago in the software game appeared "Fiveteens" and 
immediately entered into all possible charts, prompting

with the huge interest from
user'ov. And this interest is, of course, was
more paid porn animtsii, converted from the Amiga than the game 
itself, especially since the built-in cheat mode without any 
problem can be some of the concerns adolescents to meet their 
"unhealthy curiosity "...



  What a pity! A few original ideas that have been added by the 
authors of so-called "standard rules", such as time and a few 
lives, for example, give up hope that at least someone caught 
the very process game, not a process of contemplation images

more so, imho, that Zx-Stag'e Pictures
looked more realistic ...


  Cool music and a few surprises for
During the game made very much in the topic and were
are appreciated by everyone who ever
download "15."


  Clearly, the first load (and someone else and
The second and third ... :) Is included with "immortality," and 
more than 15 minutes to go then to get to the entry points 
"Lime" table of winners. But later in the head comes to mind: 
What if you really sit down and play! A pair of "rounds", and 
the game does not come off! 


  The only thing that the authors do not quite
"Beat", so it is time allotted for
the last few levels. Imho, at least
30 sec. - It is a chur for the "average"
player. Although some people seem to be passed "15"
without a cheat for a while. At least until
I've heard these rumors ... :) And my "ceiling" - 35 sec. : (


  Let's talk about the history of "Pyatnashek"
as well as how to play them, dig
in strategy and tactics - it's a mathematical puzzle, after all 
... 


  Game "15" was born in the U.S. in the late 70
the last century. She came up with the famous at the time the 
inventor Samuel Loyd. For several years, "tag" spread around 
the globe and have become is "a disaster". They played "and

old and young, were arranged around tournaments were a huge 
bet, open even gambling!



  And all this despite the seeming simplicity
and elementary "15"!


  Even now, after so many years, it is difficult
find someone who would not be familiar with
rules of the game, so I present them here will not, and talk 
about mathematical theory, which was created around "15."



  What do you answer that almost half of the possible 
combinations (and theoretically, too) has no solutions? 


  Any initial position may be
given to either the "a" or a "b":


   a. 1 2 3 4 b. 1 2 3 4

      5 6 7 8 5 6 7 8

      9 10 11 12 9 10 11 12

      13 14 15 13 15 14


  This statement can be mathematically proved (the theory of 
determinants, higher mathematics), but I think it's obvious 
that we are now engaged in will not:)



  Since the same know-if you can "pass"
This kind of option (a combination of "a"), or
No (a combination of "b")?


  In fact - quite simple. There is such a term: "a mess".


  If you have, for example, the sequence:


             "1 3 4 2"

then looking at her, you can easily count the number of 
"disturbances". After "1" dolzhna be "2". But "2" is not in 
place. Before it - "3" and "4". Troika is located at the two 
positions "before" two, therefore, received two of disorder. 
"4" is followed by "3", ie in this case

No mess.


  Similarly, determines the total number
disorder in a suitable combination, not
forgot to leave it empty right
lower square.


  If the total number of inversions is even, then
combination has a solution (a), and if odd - it does not matter 
(b). 


  So, from now on you will find quite a bit to find out is to 
spend time out to "collect" tag, or

not worth it.


  Now, having understood the theory, we proceed
to practice, or strategy - how you want.


  There are several systems using
which can be quickly assembled, "15" in position "a". In my 
opinion, the most acceptable for "beginners" is a "system 
Arens," because it is simple enough to understanding and does 
not require complex arithmetic: 

 1. Near movements set to "1" on their

    place
 2. Without touching the "1" set "2"
 3. Without touching the "1" and "2" set "3" and "4"


  Similarly, the gathering and the second
number "5678" and the more both of these series do not bother 
and only work with the two bottom rows. 

 4. Set to the desired position "9" and

    "13", which also never again

    move


  Remained a small area in the six fields
one of which is free, while five others
occupied by "10", "11", "12", "14" and "15"
random order. You will need very little time, so that these 
remaining figures to put in place.



  A little exercise - and you'll quickly be able to
collect any "tag". But not enough
fast to catch, say, 20 seconds! To do this, I think the system
Arens somewhat weak, because they do not
reduces the number of steps to a minimum,
and, moreover, can not count the strokes
from the beginning of the "party" to the end forward, so
as the number of possible combinations does not seem to
much smaller than in checkers, for example ...


  Incidentally, as you can try
created its own system, ie how-to reduce
"Noted by" you "details" in a
"Code of practice on your system, and then share the 
achievements with the rest readers.



  Yet one thing is clear: without a clear analysis of the 
position of not less than 10.8 moves forward, so to speak, by 
"brute force", "15" for 20 seconds to collect. (Imho) 

P.S. In conclusion I would like to add that
computer version of the game "15" All levels
passable, ie reduce to (a)!


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