Google Groups no longer supports new Usenet posts or subscriptions. Historical content remains viewable.
Dismiss

LOTTO FACTS THAT DR ILIYA BLUSKOV, PROFESSOR OF MATHEMATICS, UNIVERSITY OF NORTHERN BRITISH COLUMBIA, DIDN'T MENTION IN HIS 1997 THESIS

819 views
Skip to first unread message

Colin Fairbrother

unread,
Apr 4, 2014, 2:15:06 AM4/4/14
to
THE LOTTO FACTS THAT DR ILIYA BLUSKOV,
PROFESSOR OF MATHEMATICS,
UNIVERSITY NORTHERN BRITISH COLUMBIA,
DIDN'T MENTION IN HIS 1997 THESIS
by Colin Fairbrother

Without a Doctorate in Mathematics and a Professorship at the
University of Northern British Columbia, Canada, Iliya Bluskov
could be taken to be a small village to the west of Varna, an
eastern Black Sea coastal city in Bulgaria.

In 1997 Dr Iliya Bluskov wrote his thesis titled "New Designs
and Coverings", which can be downloaded or viewed at -
http://www.collectionscanada.gc.ca/obj/s4/f2/dsk3/ftp04/nq24295.pdf

In this article I restrict myself to his claims regarding Lotto,
a Lottery game where the player is able to choose their own
numbers and in particular the classic Pick 6, Pool 49 Lotto game
(6/49) available in the UK, various states in the USA, Germany,
Canada, South Africa etc.

On page 8 and 9 of the thesis Bluskov gives an example of
playing an 80 line Cover from a restricted set of numbers (Pool)
of 14 rather than the 49 available in a 6/49 Lotto game. The
Cover Bluskov uses guarantees in a hypothetical and non-existent
6/14 Lotto game that unequivocally a match-4 will be obtained,
not only when all the 3003 combinations of 6 from 14 are
considered or the 2002 combinations of 5 from 14 but also when
the 1001 combinations of 4 from 14 are considered.

What does this Cover, which can be described using the syntax
C(14,6,4,4,1)=80 guarantee in a 6/49 Lotto game? The answer is a
BIG FAT NOTHING! For the minimum guarantee in a 6/49 Lotto game
a C(49,6,3,6)=163 is needed ie 163 lines - no ifs, no buts.

However, according to Dr Iliya Bluskov it "will secure a certain
guarantee".

The next paragraph introduces the reader to the Iliya Bluskov
art of devious, deceitful semantics and just outright lies. The
paragraph is reproduced below; let's examine it phrase by phrase.

"Naturally, one can ask: What is the advantage of
playing for such a guaranteed win? If we compare
playing with 80 random tickets against 80 tickets
forming a (14,6,4) covering we see that the probability
of a 6-win ("hitting the jackpot") is the same for
each ticket; namely 14c6^-1)-'. However, if any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then the 80 tickets of a (14,6,4)
covering guarantee at least one 4-win while 80 random
tickets (on the same 14 numbers) guarantee nothing!
This property of the coverings is attractive to some
lottery players and there are many books (see, for
example, [32] or [46]) and computer software
available describing coverings. In this application,
the coverings are often referred to as wheels or
lottery systems."

The paragraph begs the question to any rational and mildly
analytical reader, "Why random selections from only 14 numbers
when the example is for a 6/49 Lotto game?". Also, "Where would
a normal player go to get 80 random selection lines from a Pool
of only 14?"

Fortunately, I've made it easy and you will find 80 lines
generated using the Merzenne Twister Algorithm at the bottom of
this article.

Now, knowing Iliya Bluskov and most of his tactics from the
other article I started titled :-

Professor Iliya Bluskov promotes deceitful claims for Lotto Covers or Wheels
https://groups.google.com/forum/#!topic/rec.gambling.lottery/TVhINzsP0hI
- the first accusation he will make is to accuse me of rigging
the 80 random lines of 6 from 14. Well, here are two sites without
nasty ads for more sets -

http://graphpad.com/quickcalcs/randomN1.cfm
or
http://www.randomizer.org/form.htm

Let's examine this very loud sentence,
"However, if any 4 of the numbers drawn are among the
14 numbers chosen by the syndicate, then the 80
tickets of a (14,6,4) covering guarantee at least one
4-win while 80 random tickets (on the same 14 numbers)
guarantee nothing!"

WRONG! WRONG! WRONG!

You can test the 80 line random selection set of 6 from a Pool of
14 given below in CoverMaster and you will find the following
guarantees for the Pool of 14 -
3if6 YES!
3if5 YES!
3if4 YES!
3if3 4 Uncovered
4if6 YES!

So, you can look at the winning six and if you see 3 or 4 of the
numbers that were used in the Pool of 14 you know you have won a
prize. But is this a guarantee for the 6/49 game? Well, in
Bluskov speak it is but in the real world it's just an
observation after the fact - the fact being the draw.

Bluskov maintains that any set of numbers played in Lotto is
just as good as any other whether over the short or long term.

This I am sure would be very unpalatable news to both his
current booklet owners and those thinking about buying it. The
one exception Bluskov makes is say 10 lines all repeated.

According to Bluskov sets with 10 repeat CombFives, CombFours or
CombThrees are in the short or long term just as good as any
other set. He still maintains this position despite all the
evidence to the contrary provided by myself.

By taking this position Bluskov is also saying the Covers he
promotes are no better than any other set. The dubious reason he
gives for people wanting to use Covers or Wheels is that for
favourite numbers after the draw they can quickly look at the
result and if 3 or more are in their favourite numbers they know
they have won a prize. My experience is that people like looking
and in this day and age of on-line betting the Lotto operator
site does the looking.

Unlike Bluskov I maintain that restricting the Pool, repeating
paying subsets and not keeping the coverage as high as possible
for the Lotto game played will adversely affect the Percentage
Return or Yield as in Winnings/Cost over the short term, say,
1,000 plays.

The C(14,6,4,4)=80 Cover promoted by Iliya Bluskov when applied
to the 6/49 Lotto game gives only a 3if6 Coverage of 22% as does
the 80 line Random Selection from Pool 14. Contrast this with 80
lines Random Selections from 49 as in the first 80 draws of the
UK Lotto which gives 78% 3if6 Coverage or my Partial Cover for
80 lines giving 89% 3if6 Coverage. Which do you prefer - the 80
line restricted Pool Cover that gives only 1 win in 5 draws or
the 80 line Partial Cover that gives a win pretty well every
draw?

A comparison table is available here :-
LOTTO WHEELS OR COVERS CON-ARTIST CLAIMS TOTALLY DEBUNKED IN TABLE
http://www.colinfairbrother.com/UsingLesserPoolCoversInLotto.aspx

The sad fact is an academic, a tenured Professor, with a Doctorate
in Mathematics has thrown in his lot with publicists that are Lotto
con-artist speilers. For the likes of the Wheelie Lady, Gail Howard,
with her prediction and filtering wizardry (thoroughly debunked by
me) it makes sense to use Covers or Wheels because she and her fans
believe they have narrowed down the numbers that will appear in the
next draw.

My advice to his publicists is that there is only so much mileage to
be gained from touting a PhD and a Professorship before incurring the
wrath of the academic community and their fighting back. I'm not an
academic but I'm doing my bit.

Colin Fairbrother

http://www.ColinFairbrother.com
http://www.LottoPoster.com
http://www.LottoToWin.com



80 Random Selections of 6 from 14 using numbers 1 to 14
01 03 07 10 11 13
01 02 04 06 07 13
02 07 11 12 13 14
02 08 09 10 11 13
01 03 09 10 11 14
01 02 03 05 11 14
03 05 06 11 12 13
02 03 05 10 11 13
01 06 07 09 11 12
01 07 08 09 11 13
04 05 07 08 10 14
01 03 05 06 07 12
01 05 10 12 13 14
01 06 07 08 09 12
03 04 07 10 11 14
01 04 05 11 12 14
05 06 08 10 11 14
01 03 06 10 11 12
01 04 09 10 12 14
02 04 05 07 11 14
02 05 06 07 09 14
01 02 06 07 09 11
03 06 08 09 11 13
01 05 10 11 12 13
03 04 05 08 10 11
01 02 05 07 08 09
03 04 05 09 10 13
04 05 07 11 12 13
02 03 05 10 12 14
04 05 07 08 09 10
05 08 09 11 12 13
05 06 07 10 11 13
03 08 10 11 13 14
03 07 08 10 11 12
02 05 07 12 13 14
05 06 08 11 13 14
03 04 05 06 10 14
03 07 08 09 10 14
02 04 05 08 10 13
01 02 03 04 08 13
01 06 08 10 11 14
01 04 06 10 11 12
01 04 05 09 11 14
03 05 07 10 12 13
01 05 09 10 12 13
01 04 06 07 10 14
01 04 07 08 12 13
02 04 09 10 13 14
03 04 08 10 12 14
03 05 07 09 12 13
03 04 05 10 11 13
01 02 03 05 08 13
01 03 06 08 09 11
01 07 08 09 10 13
02 05 06 08 10 13
01 02 04 08 11 12
03 04 06 08 13 14
03 04 06 08 09 13
03 04 05 07 09 11
01 06 07 08 10 14
01 03 04 06 07 13
04 05 10 11 13 14
05 07 08 09 11 14
04 05 07 09 12 13
02 03 04 05 10 14
05 07 08 10 12 14
01 05 07 08 11 13
05 07 08 11 13 14
02 03 04 09 12 14
02 05 07 12 13 14
02 08 09 10 11 14
01 02 03 05 06 08
01 03 05 09 13 14
02 03 09 10 11 12
02 03 05 06 10 14
01 04 08 09 12 13
02 04 08 09 10 12
01 02 03 08 10 12
02 04 06 07 10 14
01 02 06 08 10 11

Colin Fairbrother

unread,
Apr 4, 2014, 6:28:56 AM4/4/14
to
The easiest to use is http://www.randomizer.org/form.htm

After generating download to Excel and then highlight the numbers which are across the page.

Copy then select a suitable upper left hand cell, click paste special and check transpose.

You now have the numbers down the page.

Colin Fairbrother

lot...@telus.net

unread,
Apr 4, 2014, 11:32:46 AM4/4/14
to
On Thursday, April 3, 2014 11:15:06 PM UTC-7, Colin Fairbrother wrote:

>
> Let's examine this very loud sentence,
>
> "However, if any 4 of the numbers drawn are among the
>
> 14 numbers chosen by the syndicate, then the 80
>
> tickets of a (14,6,4) covering guarantee at least one
>
> 4-win while 80 random tickets (on the same 14 numbers)
>
> guarantee nothing!"
>
>
>
> WRONG! WRONG! WRONG!
>
>
>
> You can test the 80 line random selection set of 6 from a Pool of
>
> 14 given below in CoverMaster and you will find the following
>
> guarantees for the Pool of 14 -
>
> 3if6 YES!
>
> 3if5 YES!
>
> 3if4 YES!
>
> 3if3 4 Uncovered
>
> 4if6 YES!
>
>
>
> So, you can look at the winning six and if you see 3 or 4 of the
>
> numbers that were used in the Pool of 14 you know you have won a
>
> prize.

No, if you see just 3, it might be one of the four uncovered, so no 3 if 3 win guarantee.

The old cooking the book, Mr. Fairbrother... to prove a non-existent fact.

Here is a random selection of 80 combinations of the numbers 1-14

1 2 3 4 5 6
....
....
....
1 2 3 4 5 6
(repeated 80 times)

I know it hurts your aesthetic feeling on what random means, but it is just one of the many random selections of 80 combinations; for the sake of the same argument you can take any random selection restricted to the numbers 1-10, that will hopefully look "more random" to you. OK, then the numbers 9 10 11 12 13 14 are drawn. There would be NO SINGLE 3-win in sight..., so no 3 if 3, no 3 if 4, no 3 if 5, no 3 if 6, no 4 if 4, no 4 if 6, no 5 if 5, no 5 if 6, no 6 if 6 guarantee, NOTHING!

It is very easy to criticize based on insufficient knowledge of... eh, anything. By the way, my thesis committee consisted of world known researchers of coverings, graph theory, combinatorics and cryptography, including your favorite lotto researcher John Van Rees from U of Manitoba, Douglas Stinson (then Certicom Research Chair at the U of Waterloo) and K. Heinrich, then Vice President of Research at Simon Fraser University in Vancouver. None of these famous researchers had problem with my statement, because it was a correct statement within the context; yes, it does not fit your definition and your flawed understanding of probabilities, but it is correct nevertheless, I am sorry to bring the bad news to you. Are they all wrong? Probably, according to the Supreme Human Being, his Highness, Mr. C. Fairbrother.

Conversations with you become pretty much like:

I am Napoleon!
No you are not!
I am Napoleon!
No you are not!
....
....
(196 lines later):
I am Napoleon!
YES YOU ARE! Go get Poland!

nigel

unread,
Apr 4, 2014, 11:43:37 AM4/4/14
to
lot...@telus.net wrote:

mega-snippage

> including your favorite lotto researcher John Van Rees from U of Manitoba

I wouldn't exactly call him a lotto researcher, although the thrust of
his combinatorics work seems to be principally aimed at coverages which
apply to lotto.

Chasing down the links on his site led me to this:

http://www.ratemyprofessors.com/ShowRatings.jsp?tid=45812

Evil Nigel


Nick UK

unread,
Apr 4, 2014, 1:11:21 PM4/4/14
to
Bearing in mind what Fuhrer Fairbrother said about RGLrs..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.
>
> Colin Fairbrother

Now he drivels..

> THE LOTTO FACTS THAT DR ILIYA BLUSKOV,
> PROFESSOR OF MATHEMATICS,
> UNIVERSITY NORTHERN BRITISH COLUMBIA,
> DIDN'T MENTION IN HIS 1997 THESIS
> by Colin Fairbrother

And drivels..

> Without a Doctorate in Mathematics and a Professorship at the..

blah-blah-blah-blah blah..drivel and boredom-ad-nauseum

Pot-Kettle-Black?

<best snip the fkn lot>

WHO THE FK CARES WHAT ILIYA BLASTOFF HAS OR HASN'T ACHIEVED? DOES ANYONE
REALLY GIVE A MONKEY'S TOSS?

WHO FKN CARES?

Not forgetting this 'LottoPoster' drivel to the gullible..

> As a Financial Member you gain access to the Inner Circle. If you have
> a Structured Set of numbers that you would like checked out I will
> endeavour to do that for you.
>
> Colin Fairbrother

And this *classic* drivel..

> I am pretty well retired and live in a big house close
> to the Sydney CBD. I make enough from investment property to
> comfortably pay for an $11.00 Lotto panel once a week and buy some
> diesel for my 27 foot sloop. I tell myself buying a few Lottery
> tickets is not gambling but "scientific research" - bit like the
> Japanese with whaling. I'm a Free Thinker but I regard Las Vegas as a
> stinky car fumes place and a den of iniquity - been there at least
> three times. I don't smoke or drink (occasional glass of wine or
> stubby excepted) and only swear at the likes of gARRY or his ilk in
> newsgroups or Indian or Pakistan telephone canvassers that tell me
> they are phoning from Melbourne when I know they are not.
>
> Colin Fairbrother

DICKHEAD!

Fact! Nobody, but nobody, drivels like Fairbrother!

Question: who is RGLs *Champion* Driveller!
Answer: without doubt - Colin (the Fuhrer) Fairbrother!


Colin Fairbrother

unread,
Apr 4, 2014, 3:04:28 PM4/4/14
to
From a selection of 14 integers from 49 Dr Iliya Bluskov is relying on an integer not occurring in 80 random selections of 6 integers.

What are the chances of that?

Look at the 80 line example I gave where the lowest occurrence is integer 2 with 28 appearances and the highest 7 and 10 at 42.

Further looking at the example 80 lines I gave we see all 14 integers have occurred by the 6th line.

As an example of a series of random selections of 6 from 14 Bluskov gives 6 integers repeated for the 80 lines. What are the chances of that?

Bluskov knows the answers - even Ion Saliu knows the answers. Here's a chance for him to redeem himself.

Let's for once here an admission of being wrong from Dr Iliya Bluskov.

Give us the likelihood of 1 integer from 14 not occurring in 80 random selections of 6 integers.

Give us the likelihood of 6 integers from 14 consecutively repeating 80 times.

For 17 years he got away with, "... while 80 random tickets (on the same 14 numbers)guarantee nothing!"

Caught out by me.

Let's see how he further trys to weedle his way out of this one!

Nick UK

unread,
Apr 4, 2014, 3:54:52 PM4/4/14
to

RGLs champion driveller Colin (the Fuhrer) Fairbrother, drivelled..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.
>
> Let's see how he further trys to weedle his way out of this one!

Hmmmmm:

And let's see how the Fuhrer tries to wriggle and drivel his way out of that
one!

Again..

FUHRER! YOU ARE A CHEAT!..
YOU ARE A PROVEN LIAR!..
YOU ARE A FALSE ACCUSER!..
YOU ARE A BORE!..
YOU HAVE NO POWER IN RGL!..
YOU'RE NOT WANTED HERE!..
GO NOW!

http://trollsville.bravesites.com/

Colin Fairbrother

unread,
Apr 4, 2014, 8:20:22 PM4/4/14
to
Putting Iliya Bluskov's assertion succinctly for it to be true in 80 random selections of 6 integers from 14 for no guarantee of a Comb-Three match and the same line repeated 80 times, then respectively 5 and 8 integers do not appear.

Let's have the probability on each event.

Colin Fairbrother

unread,
Apr 4, 2014, 11:24:21 PM4/4/14
to
Correction:

Putting Iliya Bluskov's assertion succinctly for it to be true in 80 random selections of 6 integers from 14 for no guarantee of a Comb-Three match and the same line repeated 80 times, then respectively 4 and 8 integers do not appear.

Colin Fairbrother

unread,
Apr 5, 2014, 4:27:45 AM4/5/14
to
Iliya Bluskov wrote April 3, 2014

"Here is a random selection of 80 combinations of the numbers 1-14

1 2 3 4 5 6
....
....
....
1 2 3 4 5 6
(repeated 80 times)

See - https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/6EWvu2GDC-YJ

I have referred a few times recently to my article titled :-
Random Lotto Numbers using the Mersenne Twister
http://lottoposter.com/forum_posts.asp?TID=661

- which raises the Birthday Problem.

The possible combinations of 6 integers from 14, 14c6, is 3,003

A quick calculation for a 50% chance of a repeat combination is obtained from the square root of the possibilities ie 54.8 + 17% =~ 64. At about 80 random selections you can be pretty sure of 1 repeat. The chances of 80 repeats in 80 random selections of 6 integers from 14 can be calculated and are astronomical.

At the outset with the probability of one combination of 6 integers from 14 being 0.000333 if this is raised to the 80th power we have odds that virtually make it impossible.

I'm pretty sure that the academics he mentioned in his wierdo post would not like the idea of being drawn into his obvious mental and nervous breakdown.

Colin Fairbrother

lot...@telus.net

unread,
Apr 5, 2014, 5:30:27 AM4/5/14
to
On Saturday, April 5, 2014 1:27:45 AM UTC-7, Colin Fairbrother wrote:

>
> At the outset with the probability of one combination of 6 integers from 14 being 0.000333 if this is raised to the 80th power we have odds that virtually make it impossible.
>
>
> Colin Fairbrother

I knew you will bite on that example and not on the the more general one. OK crack this: There are C(C(10,6),80)=C(210,80) distinct selections of 80 combinations on the first 10 numbers, an immense number by any strectch of imagination, and each of these selections has all of its combinations distinct, like the one below, but then there is an immensely larger number of selection of 80 combinations on the first 10 numbers, with some combinations repeated, the most drastic being when all 80 combinations are repeated, but even then you still have C(10,6) ways to choose what combination to repeat. None of these selections of 80 will produce a single 3-win under the draw 9 10 11 12 13 14...

Let's examine this very loud sentence,
"However, if any 4 of the numbers drawn are among the
14 numbers chosen by the syndicate, then the 80
tickets of a (14,6,4) covering guarantee at least one
4-win while 80 random tickets (on the same 14 numbers)
guarantee nothing!"

WRONG! WRONG! WRONG!

So could you please explain one more time how is my statement WRONG?
(was not this the main idea behind your shouting new tread, by the way?)

1. 1 2 3 4 5 6
2. 1 2 3 4 5 7
3. 1 2 3 4 5 8
4. 1 2 3 4 5 9
5. 1 2 3 4 5 10
6. 1 2 3 4 6 7
7. 1 2 3 4 6 8
8. 1 2 3 4 6 9
9. 1 2 3 4 6 10
10. 1 2 3 4 7 8
11. 1 2 3 4 7 9
12. 1 2 3 4 7 10
13. 1 2 3 4 8 9
14. 1 2 3 4 8 10
15. 1 2 3 4 9 10
16. 1 2 3 5 6 7
17. 1 2 3 5 6 8
18. 1 2 3 5 6 9
19. 1 2 3 5 6 10
20. 1 2 3 5 7 8
21. 1 2 3 5 7 9
22. 1 2 3 5 7 10
23. 1 2 3 5 8 9
24. 1 2 3 5 8 10
25. 1 2 3 5 9 10
26. 1 2 3 6 7 8
27. 1 2 3 6 7 9
28. 1 2 3 6 7 10
29. 1 2 3 6 8 9
30. 1 2 3 6 8 10
31. 1 2 3 6 9 10
32. 1 2 3 7 8 9
33. 1 2 3 7 8 10
34. 1 2 3 7 9 10
35. 1 2 3 8 9 10
36. 1 2 4 5 6 7
37. 1 2 4 5 6 8
38. 1 2 4 5 6 9
39. 1 2 4 5 6 10
40. 1 2 4 5 7 8
41. 1 2 4 5 7 9
42. 1 2 4 5 7 10
43. 1 2 4 5 8 9
44. 1 2 4 5 8 10
45. 1 2 4 5 9 10
46. 1 2 4 6 7 8
47. 1 2 4 6 7 9
48. 1 2 4 6 7 10
49. 1 2 4 6 8 9
50. 1 2 4 6 8 10
51. 1 2 4 6 9 10
52. 1 2 4 7 8 9
53. 1 2 4 7 8 10
54. 1 2 4 7 9 10
55. 1 2 4 8 9 10
56. 1 2 5 6 7 8
57. 1 2 5 6 7 9
58. 1 2 5 6 7 10
59. 1 2 5 6 8 9
60. 1 2 5 6 8 10
61. 1 2 5 6 9 10
62. 1 2 5 7 8 9
63. 1 2 5 7 8 10
64. 1 2 5 7 9 10
65. 1 2 5 8 9 10
66. 1 2 6 7 8 9
67. 1 2 6 7 8 10
68. 1 2 6 7 9 10
69. 1 2 6 8 9 10
70. 1 2 7 8 9 10
71. 1 3 4 5 6 7
72. 1 3 4 5 6 8
73. 1 3 4 5 6 9
74. 1 3 4 5 6 10
75. 1 3 4 5 7 8
76. 1 3 4 5 7 9
77. 1 3 4 5 7 10
78. 1 3 4 5 8 9
79. 1 3 4 5 8 10
80. 1 3 4 5 9 10

Colin Fairbrother

unread,
Apr 6, 2014, 8:52:29 AM4/6/14
to
Iliya Bluskov you're wandering, surmising, waffling and showing a naive understanding of random numbers, once again.

Your assertion concerned random numbers not enumerations of the possible combinations of 6 integers from various Pools. You maintain that 80 random selections from 14 numbers guarantee nothing in a 6/14 hypothetical Lotto game. Further, for a 6/49 Lotto game after the draw and with 3 or more of the 14 numbers used to generate the 80 random selections from 14 in the winning six then you maintain a prize is NOT guaranteed.

You may care to consider the maximum absence of just 1 integer in a 6/49 Lotto game from some 1900 draws and the maximum absence of just 1 integer in a 6/25 Lotto game such as the West Virginia Cash 25 from some 3700 draws. From that you can extrapolate to a hypothetical 6/25 Lotto game or run off some Random Selections from 14 integers and test them.

It's all been discussed in this newsgroup before and at http://www.LottoPoster.com.

Hint: Paste the 80 Random Selections I gave in the first post in this thread into Covermaster. From the menu select Tools then Find. Key in 09 10 11 12 13 14
on the Find entry row and then click on display. You may have to use the up/down arrows on the Find entry row to get the right calculations. Be amazed.

Colin Fairbrother

Nick UK

unread,
Apr 6, 2014, 10:49:39 AM4/6/14
to

Recalling what RGLs Champion driveller (Fuhrer Fairbrother) said about
regular RGL subscribers..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.
> Colin Fairbrother

Not content with droning and drivelling in the painfully monotonous
'Professor Iliya Bluskov promotes' thread he now subjects RGLrs to FFF
(Further Fuhrer Fatigue) by continuing his droning in this thread, by
drivelling..

> Iliya Bluskov you're wandering, surmising, waffling and showing
> a naive understanding of random numbers, once again.

Hmmmmm: yet in the current 'Wheel vs Random Selections' thread captured by
him, he claims he created 56 RANDOM combinations when he did in fact select
56 PAST RESULTS in the UK Lottery! How can that possibly be RANDOM
selections?

The Fuhrer further advised Iliya Bluskov ..

> Hint: Paste the 80 Random Selections.. blah-blah-blah
> Be amazed.

So, the complaint he arrogantly directed at Iliya Bluskov, can now be
rightfully redirected to him..

> Fuhrer Fairbrother: you're wandering, surmising, waffling and showing
> a naive understanding of random numbers, once again.
>
> Hint: selecting 56 combinations using 56 PAST RESULTS in any lottery is
> NOT random selections!
> Be amazed!

Incidentally: with just one draw remaining in the aforementioned 50-draw
'Wheel v Random Selections' challenge, my 56-com pick 9 wheel has just gone
ahead after last nite's 20 x 'match 3' hits in the UK Lottery.

More will be said on this after Wednesday's 50th and final draw in this
'challenge'. I will further expose the cheating, lying ways of Fuhrer
Fairbrother during that challenge, commenced by him on 19th October 2013 in
the 'Wheel v Random Selections' thread.

Readers will indeed..
> Be amazed!

Nick UK

lot...@telus.net

unread,
Apr 7, 2014, 10:52:18 AM4/7/14
to
On Sunday, April 6, 2014 5:52:29 AM UTC-7, Colin Fairbrother wrote:
> Iliya Bluskov you're wandering, surmising, waffling and showing a naive understanding of random numbers, once again.
>
>
> Your assertion concerned random numbers not enumerations of the possible combinations of 6 integers from various Pools. You maintain that 80 random selections from 14 numbers guarantee nothing in a 6/14 hypothetical Lotto game. Further, for a 6/49 Lotto game after the draw and with 3 or more of the 14 numbers used to generate the 80 random selections from 14 in the winning six then you maintain a prize is NOT guaranteed.

No I do not. Are you able to understand a logical statement? By the way, does introducing a condition for the 80 selection (with 3 or more of the 14 numbers used to generate the 80 random selections from 14 in the winning six) still renders them random? Is not introducing hidden conditions and assumptions the base of all of your claims of superiority of your way of playing? You are pathological liar on top of being a desperate attention seeker; go get help.

>
>
>
> You may care to consider the maximum absence of just 1 integer in a 6/49 Lotto game from some 1900 draws and the maximum absence of just 1 integer in a 6/25 Lotto game such as the West Virginia Cash 25 from some 3700 draws. From that you can extrapolate to a hypothetical 6/25 Lotto game or run off some Random Selections from 14 integers and test them.
>
>
> Colin Fairbrother


I may care to consider? WHY should I care to consider?
Is it possible that you admit you have claimed something wrong?
Again, in shouting capitals in the title of your post, you claimed a statement in my thesis is wrong. Is it? I clearly showed it is not. Can you admit that like a man? Close this thread with an apology?

Or you are going to keep presenting smoke and mirrors until the claim is lost in hundreds of posts of me-my-I-mine fullness of yourself, self-promoting and self-linking garbage?


Colin Fairbrother

unread,
Apr 8, 2014, 3:28:03 AM4/8/14
to
I'm relishing the moment Dr Iliya Bluskov - a Professor of Mathematics making an utter fool of himself.

Iliya Bluskov, you've already made three of the most stupidist claims by any Professor in Mathematics in the history of the world.

You claim that in any random selection of 6 integers from 14 done 80 times with replacement it is possible realistically (ie less than the stars in the universe) -

■ to have 80 repeats. The reality is just one is expected and rarely four may
occur.

■ to have 4 of the 14 integers not occur in the 80 random selections. The
reality is all 14 occur and it wouldn't matter in terms of a guarantee if 4
didn't.

■ to not have any Cover guarantee. Bluskov wrote,"... while 80 random tickets
(on the same 14 numbers) guarantee nothing!". The reality is there is a 4if6
guarantee and a 3if4 with consequently a 3if5 and a 3if6 guarantee.

The world is watching Professor, including your colleagues.

I have started a topic on this subject at my LottoPoster site, see -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

It includes a table examining the first 20 lots of 80 selections from 10000 selections generated using the Merzenne Twister algorithm - all done in a couple of seconds. The table confirms the above.

In the generated 10,000 random selections of 6 from 14 the maximum repeat of a combination was 12 only once - not much hope for 80 repeats in just 80 random selections!

The challenge for you Dr Iliya Bluskov is to produce a set of 80 random selections of 6 from 14 that satisfies the normal tests for randomness and is both not a 3if4 Cover and a 4if6.

lot...@telus.net

unread,
Apr 8, 2014, 2:02:09 PM4/8/14
to
You were talking about the correctness of a statement from my thesis, Mr Twister! Was that statement correct or wrong? Find one mathematician who would confirm it is wrong and I will part with $10,000 against $100 of yours.

On Tuesday, April 8, 2014 12:28:03 AM UTC-7, Colin Fairbrother wrote:

> Iliya Bluskov, you've already made three of the most stupidist claims by any Professor in Mathematics in the history of the world.
>
>
>
> You claim that in any random selection of 6 integers from 14 done 80 times with replacement it is possible realistically (ie less than the stars in the universe) -

Where did I use the term "realistically"?

>
>
>
> ■ to have 80 repeats. The reality is just one is expected and rarely four may
>
> occur.
>

It is possible; very unlikely but POSSIBLE.

>
>
> ■ to have 4 of the 14 integers not occur in the 80 random selections. The
>
> reality is all 14 occur and it wouldn't matter in terms of a guarantee if 4
>
> didn't.

More likely; still low probability, but POSSIBLE.

>
>
>
> ■ to not have any Cover guarantee. Bluskov wrote,"... while 80 random tickets
>
> (on the same 14 numbers) guarantee nothing!". The reality is there is a 4if6
>
> guarantee and a 3if4 with consequently a 3if5 and a 3if6 guarantee.

The reality in YOUR CHOSEN selection; I demonstrated selection where no 3-win or higher occurs.

>
> The world is watching Professor, including your colleagues.
>

Well, no one could save me from the true madness you have demonstrated here...

Colin Fairbrother

unread,
Apr 8, 2014, 7:15:37 PM4/8/14
to
"... while 80 random tickets (on the same 14 numbers) guarantee nothing!"

That statement is incorrect as in 80 random selections of 6 from a Pool of 14 there is a guarantee after the draw that with three numbers in the winning six that are also in the Pool of 14, a win is obtained.

To continue to argue that the statement is true is indicative of your devious, deceitful and lying ways.

You've been caught out again and you know it!

The statement that you or I will live for 200 years is also incorrect.

While on August 18, 1913 at Monte Carlo black came up consecutively 26 times on a roulette wheel to state black or red will come up consecutively 500 times is incorrect.

To state that you will not win first prize in the next Lotto game in which you buy a ticket is incorrect but to state that by buying 500 tickets consecutively you will not win first prize consecutively 500 times is true.

In other words to state "... while 80 random tickets (on the same 14 numbers) guarantee nothing!" is beyond the realms of possibility and only a con-artist like Iliya Bluskov would use it to flog his Lotto nonsense booklets and silly reduced Pool Wheels or Covers.

The challenge I gave Dr Iliya Bluskov in my last post is to produce a set of 80 random selections of 6 from 14 that satisfies the normal tests for randomness and is both not a 3if4 Cover and a 4if6. He knows he can't do it and that makes him a devious, deceitful, con-artist and liar.

Nick UK

unread,
Apr 8, 2014, 8:04:10 PM4/8/14
to
Recalling what RGLs Champion driveller (Fuhrer Fairbrother) said about
regular RGL subscribers..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.
>
> Colin Fairbrother

RGLs Champion Driveller Colin (The Fuhrer) Fairbrother dribbled..

> To continue to argue that the statement is true
> is indicative of your devious, deceitful and lying ways.

Pot-Kettle-Black?

> You've been caught out again and you know it!

Pot-Kettle-Black?

> The statement that you or I will live for 200 years is also incorrect.

Now that will certainly cheer up RGLrs!! :-)

> While on August 18, 1913 at Monte Carlo black came up consecutively..
<snip the Roulette rubbish>

> To state that you will not win first prize in the next Lotto game
> in which you buy a ticket is incorrect but to state that by buying
> 500 tickets consecutively you will not win first prize consecutively
> 500 times is true.

Hmmmmm: buying 500 tickets!! FFS! That will certainly help the average Lotto
player Worldwide, doing his two or three coms per draw!!

> In other words...

Shut-the-fk-up!

> while 80 random tickets (on the same 14 numbers) guarantee
> nothing!" is beyond the realms of possibility and only a con-artist
> like Iliya Bluskov would use it to flog his Lotto nonsense booklets
> and silly reduced Pool Wheels or Covers.

Iliya a 'Con-artist'?? A known fact, proven time and time again here: the
REAL con-artist in RGL is Colin (the Fuhrer) Fairbrother

> The challenge I gave Dr Iliya Bluskov in my last post <snip>

How's about playing 'The Last Post' and gittin' the fk outa here..
permanently!

Referring to Iliya Bluskov, the Fuhrer added..

> He knows he can't do it and that makes him a devious, deceitful,
> con-artist and liar.

Ex RGL leader Robert Perkis described the Fuhrer as a 'cunning runt' but he
has (above) described himself a bit more accurately, i.e.. a devious,
deceitful, con-artist and liar.

nigel

unread,
Apr 9, 2014, 6:12:53 AM4/9/14
to
If a random combination generator is incapable of generating the same
combination eighty times in succession, by definition it isn't random.

Your concept of 'normal' tests for randomness are probability based, and
while they are good at identifying pseudo-random computer algorithms,
for example, as not truly random, they also rule out the digits of Pi
and similar irrational numbers.

Evil Nigel

nigel

unread,
Apr 9, 2014, 8:33:17 AM4/9/14
to
There are 3003 ways of choosing 6 from 14. So the probability of
1,2,3,4,5,6 being randomly generated first is 1 in 3003 or 0.000333, the
same as 1,4,6,7,9,12.

The probability of 1,2,3,4,5,6 being generated second is also 0.000333,
the same as 2,3,6,10,12,14.

The probability of 1,2,3,4,5,6 being generated first and second is
0.000333^2 = .000000111, the same as the probability of 1,4,6,7,9,12
being generated first and 2,3,6,10,12,14 being generated second.

If the generation process is genuinely random, every set of 80
combinations is equally as unlikely as 80 times 1,2,3,4,5,6.

Evil Nigel
Message has been deleted

Colin Fairbrother

unread,
Apr 9, 2014, 8:55:12 AM4/9/14
to
0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006245

lot...@telus.net

unread,
Apr 9, 2014, 11:04:37 AM4/9/14
to
On Wednesday, April 9, 2014 5:55:12 AM UTC-7, Colin Fairbrother wrote:
> 0.000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000006245

That is called: Watering down; let us focus on something else and shift the focus from admitting that the statement in Bluskov's thesis is correct; let us forget that, because it is soooo painful to admit I am wrong, sooooooo painful, I do not even want to think about; erh, let me cook some more simulation, let me water it down with some probability stuff; the problem will just go away. Well, guess what, it will not! Be a man, admit it. Is the statement in my thesis correct? YES or NO, simple answer will suffice, a simple post, just like this one, but instead of a number with many zeros, put an YES or NO...

By the way, this is not the probability of 80 random combinations on 14 numbers not having any 3-win or higher; it is much larger as I explained previously. With any fixed draw, say 9 10 11 12 13 14, there will be C(6,2)*C(C(10,6),80)=15*C(210,80) distinct selections of 80 DISTINCT combinations (on 1-8 plus two of the remaining 6 numbers), each of which not producing any 3-win or higher. Entertain us with this number please. If we drop the condition DISTINCT, then there are immensely many more; there is a formula for that as well, but it is advanced combinatorics, and I am not getting into it here.
Iliya Bluskov

Colin Fairbrother

unread,
Apr 9, 2014, 7:26:48 PM4/9/14
to
Dr Iliya Bluskov's statement is incorrect ie "... while 80 random tickets (on the same 14 numbers) guarantee nothing!"

That is what I wrote in my reply 2 posts previously: https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/Nee09IaXFAIJ

For an earthling there is no guarantee that the Sun will rise tomorrow. In all probability, at this time, the Sun will continue to rise for another 4 billion years. To say the Sun will not rise tomorrow is incorrect.

In a court of law in the USA, UK, Australia and Canada a person on a charge of murder is presumed not guilty but can be convicted and possibly sentenced to death, if there is no reasonable doubt that they are guilty. There is no doubt whatsoever that 80 consecutive random selections of 6 from 14 will produce a set where for any other single random selection of 6 from 14 there will be a match-3 if 3 of the integers from the Pool of 14 are in the single random selection.

Twice before I have asked Dr Iliya Bluskov to produce a set of 80 random selections of 6 from 14 that satisfy the normal tests for randomness and is both not a 3if4 Cover and a 4if6. The statement by Iliya Bluskov is still false if there was only a 3if6 match. He is unable to produce such a set and is therefor guilty of making a false statement.

He is now sentenced to be known as a devious, deceitful, con-artist and liar.

Ample proof in a table from considering just 20 sets of 80 from 10,000 random selections of 6 from 14 selections may be viewed here: -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Produce the set or admit you made a false statement both in your thesis and repeated time and again in your Lotto booklets.

Colin Fairbrother

lot...@telus.net

unread,
Apr 10, 2014, 12:53:18 AM4/10/14
to
On Wednesday, April 9, 2014 4:26:48 PM UTC-7, Colin Fairbrother wrote:

>
> Twice before I have asked Dr Iliya Bluskov to produce a set of 80 random selections of 6 from 14 that satisfy the normal tests for randomness and is both not a 3if4 Cover and a 4if6. The statement by Iliya Bluskov is still false if there was only a 3if6 match. He is unable to produce such a set and is therefor guilty of making a false statement.
>


Three times I asked you to state if the STATEMENT IN MY THESIS IS CORRECT and three times you declined to give the correct answer, which is YES. You possess exceptional rigidness. Is there anyone here (other than CF) who thinks that the statement "80 random tickets on 14 numbers guarantee nothing" is wrong? Does this statement reads "80 random tickets on 14 numbers THAT MEET THE NORMAL TESTS FOR RANDOMNESS guarantee nothing" or I am missing something?

A random selection of tickets means ANY such selection, including 1 2 3 4 5 6 repeated 80 times, as Mr. Nigel kindly explained.

Iliya Bluskov

Colin Fairbrother

unread,
Apr 10, 2014, 4:52:44 AM4/10/14
to
Iliya Bluskov, your weasel ways are well known to me by now.

Let's examine your statement again as written in your thesis and as given in the opening message of this thread, see
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/dyqWTXDf_Y4J

"However, if any 4 of the numbers drawn are among the 14 numbers
chosen by the syndicate, then the 80 tickets of a (14,6,4)covering
guarantee at least one 4-win while 80 random tickets (on the same 14
numbers) guarantee nothing!"

The statement is wrong - there is a 4if6, and 3if4 with consequently a 3if5 and 3if six guarantee. You are a bald faced liar.

The statements you make in your booklets are also wrong such as regarding the C(10,6,4,4)=20 where you state, "... while 20 random tickets (on the same 10 numbers) guarantee nothing!" The statement is blatently wrong - a 4if6, and a 3if4 with consequently a 3if5 and 3if6 are guaranteed by a random selection on the same 10 numbers. You are a bald faced liar.

Show us how you randomly produce 80 selections from 14 numbers with 80 repeats other than by a ridiculously biased non-RNG or by personal selections? The depths of absurdity that you are prepared to go to begs belief.

The game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Colin Fairbrother

Nick UK

unread,
Apr 10, 2014, 1:45:26 PM4/10/14
to
<snip the usual boring crap>

RGLs Champion driveller Colin (the Fuhrer) Fairbrother drivelled..

> In a court of law in the USA, UK, Australia and Canada a person
> on a charge of murder is presumed not guilty but can be convicted
> and possibly sentenced to death

WRONG!

In the UK there is no possibility of any person found guilty of murder,
being sentenced to death. The death penalty in the UK was abolished in 1965
(1973 in Northern Ireland).

Reference Iliya Bluskov, the driveller drivelled..

> He is now sentenced to be known as a devious, deceitful,
> con-artist and liar.

Pot-kettle-black?

> Produce the set or admit you made a false statement both
> in your thesis and repeated time and again in your Lotto booklets.
>
> Colin Fairbrother

Right! Now YOU produce the EVIDENCE of your FALSE accusation against me
(some 2 or 3 years ago) that I contrived my UK Thunderball wins AFTER the
result was known. Also, your recent FALSE accusation against me that I
created a 56 'Banker-1' 56 com wheel using 'past history' and deliberately
choosing 56 x 'pick-9' combinations that would show consecutive hits in
*previous* results!

And besides, as you well know, my current 56 com 'banker-1' wheel last week
*did* hit on 30 x 'match 3' hits in two *consecutive draws*. So work that
one out with your constant fkn drivelling about 'percentages' and
'expectations'.. ASSHOLE!

Even if I did use past history when selecting my 56 coms (which is totally
irrelevant to *future* lottery results) how the fk could I possibly manage
to find 56 x pick-9 coms that would show consecutive hits in past history,
when there is more than 2 BILLION pick-9 coms (in 49 numbers) to choose
from!

You concluded your most recent drivellings with the following ironic
statement..

> Iliya Bluskov, your weasel ways are well known to me by now.

Pot-kettle-black?

Precisely! Fuhrer Fairbrother: your weasel ways are well known in this
forum.

You are indeed, a weasel and a FILTHY, FALSE ACCUSING FUCKWIT !!

Nick UK

lot...@telus.net

unread,
Apr 10, 2014, 2:57:26 PM4/10/14
to
On Thursday, April 10, 2014 1:52:44 AM UTC-7, Colin Fairbrother wrote:
> Iliya Bluskov, your weasel ways are well known to me by now.
>
>
>
> Let's examine your statement again as written in your thesis and as given in the opening message of this thread, see

We already did that, did not we? What we have not done but should have, is examine your head; it would be surprising to find nothing wrong there, or, in other words, it would not be surprising to find nothing there.

>
>
> The statements you make in your booklets are also wrong such as regarding the C(10,6,4,4)=20 where you state, "... while 20 random tickets (on the same 10 numbers) guarantee nothing!" The statement is blatently wrong - a 4if6, and a 3if4 with consequently a 3if5 and 3if6 are guaranteed by a random selection on the same 10 numbers. You are a bald faced liar.


Guaranteed? Do you understand that word? Let us say the numbers 5 6 7 8 9 10 are drawn and the 20 random combinations are 1 2 3 4 5 6 repeated 20 times. There is no 3-win or higher. Where is the guarantee then? And if this is not random enough for you, sorry, it still fits the mathematical definition of random, and therefore it makes the statement absolutely correct.

Your only argument is repeating false statements and using all kind of insults to spice them up. I am sorry to disappoint you, but I DO NOT MAKE FALSE STATEMENTS, get that into your head; the sooner the better. Too many people, way smarter than you, stand behind my books and thesis, to have any wrong statements there. Find something else to play with.

Unfortunately, I can no longer respond to postings containing insults and ungrounded claims. I have made my points; I will just let raging lunacy take over...
Iliya Bluskov

Colin Fairbrother

unread,
Apr 10, 2014, 8:09:28 PM4/10/14
to
Every Lotto player including Iliya Bluskov knows what LOTTO RANDOM TICKETS means and knows that if they purchased 20 or 80 tickets for respectively a hypothetical Pool 10 or Pool 14 Pick 6 Lotto game with the same line repeated then there is obviously a machine malfunction.

Every player in the context of Lotto with either a Pool of 10 or 14 knows what are RANDOM TICKETS. The usual picture in the mind of the player is 10 or 14 light weight balls which respectively have 1 to 10 or 1 to 14 marked on them that are tumbled in a transparent sphere from which one ball is randomly extracted and the process then repeated another 5 times.

Draws are random selections and 80 draws in a hypothetical Pool 14, Pick 6 Lotto game would just never happen. There would be an uproar after 3 draws the same and with a probability for 5 consecutive repeats of 0.000000000000000004094691316893 it just wouldn't happen. For 80 consecutive repeats one can safely say it will never happen.

The facts are that among the 10 or so main lies and deceptions used by Dr Iliya Bluskov to sell his booklets a critical prop is the "guarantee", which is not a guarantee for the Lotto game you are playing. For the 20 line Wheel with a 4if4 guarantee when playing a hypothetical Pool 10 Pick 6 Lotto game Bluskov's deceptive 100% Prize Table is only 0.03% of the prizes in a 6/49 Lotto game.

Iliya Bluskov's house of cards has fallen. Why does he keep posting here after writing that he will not - on at least 6 occasions? The answer is he is under pressure to respond from his book publicists or his university.

The facts I have given are incontrovertible. There is no mathematics or science to back up Bluskov's claims. Some would note that of late his claims have become bizarre, such as claiming 80 random tickets in a hypothetical Pool 14, Pick 6 Lotto game can be the same ticket repeated 80 times. With just 3003 possibilities the odds for just 5 times are 0.000000000000000004094691316893 and for 80 times see -
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/uSUtcTIf4zAJ or 0.000333 raised to the 80th power with 278 zeroes after the point then 6245.
Obviously this is an indication of a mental and nervous breakdown.

The real world guarantees for a hypothetical 6/14 Lotto game are here -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Bluskov's statement,
"However, if any 4 of the numbers drawn are among the 14 numbers
chosen by the syndicate, then the 80 tickets of a (14,6,4)covering
guarantee at least one 4-win while 80 random tickets (on the same 14
numbers) guarantee nothing!"

His claim of nothing is refuted by a match-3 win. A Cover or Wheel for a match-3 win in a 6/14 hypothetical Lotto game is only 4 lines ie C(14,6,3,6)=4. For Random Selections from 3003 possibilities this is easily achieved in 8 to 13 lines or so.

The game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

Colin Fairbrother




lot...@telus.net

unread,
Apr 12, 2014, 3:07:20 PM4/12/14
to
NO Mr., I am not "caught". You are caught in the nightmares within your head. What I feel, I feel abused by a mad man, and I feel I cannot do much about it. As frequently stated by other posters, you will be rendered innocent in the courts of law due to insanity. As I said before, posting false statements douzens of times and repeating your favorite insults does not make you right. And no, you are not challenging me with anything. You know why? Because I am right and you are wrong, as simple as that! In fact, you are a very easy target, but even when hit in the bulls eye, you will not admit it so the talk is on and on and on and on. No matter how many times the truth is revealed to you, you will repeat your garbage, you will spice it with insults and you will enjoy the show. That is what your kind enjoys; the attention, it does not matter if it is based on achievement or in stupidity; whether it is positive or negative, as far as it is attention, you thrive on it. And I am cooperating, just for the fun of it, and maybe, to educate the rare reader who can go through the tons of garbage in each thread you start.

There are selections of 80 combinations that contain all of the 14 numbers, are all distinct (or with some repeating combinations); there is an immense number of such selection for any particular draw that meet this criteria and do not produce any 3-win or higher. I gave examples with repetition and on the first 10 numbers rather than on all 14, because these are easier to understand, and somewhat easier to count; still there was an immense number of these. The way of obtaining such selections on all 14 numbers is within my explanations, but as usual, you either do not read, or you do not think, or you do not understand, or if you understand, then you pretend you do not; anyway, you possess a somewhat sophisticated madness; multileveled and branched, combined with some severe personality flaws which drives you to extreme negation and irratonality; I will leave the further diagnose to research psychiatrists who have huge grants and a lot of time on their hands to decipher you correctly, if they care. But they do not, so you will continue stalking me apparently, no cure for that.

Suppose the draw is again 9 10 11 12 13 14. Take ANY selection of RANDOM 4- ,5- and 6-sets on the numbers 1-10, and then fill the remaining positions (one or two) with RANDOM selections of the numbers 11-14. You have a perfectly looking random selection of 80 combinations on all numbers from 1 to 14 which does not have any 3-win or higher. I will leave the counting of all such possible selections to you; you might need a couple of lines to fit this number if you find it:-) So this is an example that might fit slightly better in "your understanding of random" (I guess not; there will be "debunking" of this one and all of the similar ones, right? After all they are all concocted by me, so no way they could happen as a result of random selection, right...)

You live with the nice and cozy feeling that you are unreachable and nonpunishable, you think that your ignorance, that you proudly wave over the place here, gives you the right to abuse everyone; to throw all kind of insults. It makes you feel grandiose, is not it? That is what you have been living for all of you life. Well, it does, kind of, in an unmoderated group, you can say anything you like, but maybe, just maybe, one day, I will figure out how to respond the way you deserve to be responded. You have gone way too far with your aggressive ignorance and abuse.

Here is a selection of not 80, not 100, not 500 not even a 1000, but 2478 combinations, none of which gives a 3-win or higher under the mentioned draw. Think of it as of system with not 80 but 2478 combinations that still guarantees nothing under the draw 9 10 11 12 13 14. Now choose any 80 of these (as randomly as you like) and you get a selection, with all combinations distinct and with as much representation of all numbers 1-14 as you like that does not give any 3-win or higher. (A hint: you can have any of the numbers 11-14 represented 20 times in this selection.) The total number of these selections is C(2478,80). I asked you to entertain us with something similar, but you refrained, so I will help: the number is

129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820

selections of 80 with non-repeating combinations; each of these being as random as the definition of random requires.

Allow repetition and you will get an immensely bigger number of selections on all 14 numbers that have the same property; no 3-win or higher. (And of course you can do the same for any particular draw, not just the mentioned.) Is that good enough to support my statement and your aesthetic feeling of randomness?

1 2 3 4 5 6
1 2 3 4 5 7
1 2 3 4 5 8
1 2 3 4 5 9
1 2 3 4 5 10
1 2 3 4 5 11
1 2 3 4 5 12
1 2 3 4 5 13
1 2 3 4 5 14
1 2 3 4 6 7
1 2 3 4 6 8
1 2 3 4 6 9
1 2 3 4 6 10
1 2 3 4 6 11
1 2 3 4 6 12
1 2 3 4 6 13
1 2 3 4 6 14
1 2 3 4 7 8
1 2 3 4 7 9
1 2 3 4 7 10
1 2 3 4 7 11
1 2 3 4 7 12
1 2 3 4 7 13
1 2 3 4 7 14
1 2 3 4 8 9
1 2 3 4 8 10
1 2 3 4 8 11
1 2 3 4 8 12
1 2 3 4 8 13
1 2 3 4 8 14
1 2 3 4 9 10
1 2 3 4 9 11
1 2 3 4 9 12
1 2 3 4 9 13
1 2 3 4 9 14
1 2 3 4 10 11
1 2 3 4 10 12
1 2 3 4 10 13
1 2 3 4 10 14
1 2 3 4 11 12
1 2 3 4 11 13
1 2 3 4 11 14
1 2 3 4 12 13
1 2 3 4 12 14
1 2 3 4 13 14
1 2 3 5 6 7
1 2 3 5 6 8
1 2 3 5 6 9
1 2 3 5 6 10
1 2 3 5 6 11
1 2 3 5 6 12
1 2 3 5 6 13
1 2 3 5 6 14
1 2 3 5 7 8
1 2 3 5 7 9
1 2 3 5 7 10
1 2 3 5 7 11
1 2 3 5 7 12
1 2 3 5 7 13
1 2 3 5 7 14
1 2 3 5 8 9
1 2 3 5 8 10
1 2 3 5 8 11
1 2 3 5 8 12
1 2 3 5 8 13
1 2 3 5 8 14
1 2 3 5 9 10
1 2 3 5 9 11
1 2 3 5 9 12
1 2 3 5 9 13
1 2 3 5 9 14
1 2 3 5 10 11
1 2 3 5 10 12
1 2 3 5 10 13
1 2 3 5 10 14
1 2 3 5 11 12
1 2 3 5 11 13
1 2 3 5 11 14
1 2 3 5 12 13
1 2 3 5 12 14
1 2 3 5 13 14
1 2 3 6 7 8
1 2 3 6 7 9
1 2 3 6 7 10
1 2 3 6 7 11
1 2 3 6 7 12
1 2 3 6 7 13
1 2 3 6 7 14
1 2 3 6 8 9
1 2 3 6 8 10
1 2 3 6 8 11
1 2 3 6 8 12
1 2 3 6 8 13
1 2 3 6 8 14
1 2 3 6 9 10
1 2 3 6 9 11
1 2 3 6 9 12
1 2 3 6 9 13
1 2 3 6 9 14
1 2 3 6 10 11
1 2 3 6 10 12
1 2 3 6 10 13
1 2 3 6 10 14
1 2 3 6 11 12
1 2 3 6 11 13
1 2 3 6 11 14
1 2 3 6 12 13
1 2 3 6 12 14
1 2 3 6 13 14
1 2 3 7 8 9
1 2 3 7 8 10
1 2 3 7 8 11
1 2 3 7 8 12
1 2 3 7 8 13
1 2 3 7 8 14
1 2 3 7 9 10
1 2 3 7 9 11
1 2 3 7 9 12
1 2 3 7 9 13
1 2 3 7 9 14
1 2 3 7 10 11
1 2 3 7 10 12
1 2 3 7 10 13
1 2 3 7 10 14
1 2 3 7 11 12
1 2 3 7 11 13
1 2 3 7 11 14
1 2 3 7 12 13
1 2 3 7 12 14
1 2 3 7 13 14
1 2 3 8 9 10
1 2 3 8 9 11
1 2 3 8 9 12
1 2 3 8 9 13
1 2 3 8 9 14
1 2 3 8 10 11
1 2 3 8 10 12
1 2 3 8 10 13
1 2 3 8 10 14
1 2 3 8 11 12
1 2 3 8 11 13
1 2 3 8 11 14
1 2 3 8 12 13
1 2 3 8 12 14
1 2 3 8 13 14
1 2 3 9 10 11
1 2 3 9 10 12
1 2 3 9 10 13
1 2 3 9 10 14
1 2 3 9 11 12
1 2 3 9 11 13
1 2 3 9 11 14
1 2 3 9 12 13
1 2 3 9 12 14
1 2 3 9 13 14
1 2 3 10 11 12
1 2 3 10 11 13
1 2 3 10 11 14
1 2 3 10 12 13
1 2 3 10 12 14
1 2 3 10 13 14
1 2 4 5 6 7
1 2 4 5 6 8
1 2 4 5 6 9
1 2 4 5 6 10
1 2 4 5 6 11
1 2 4 5 6 12
1 2 4 5 6 13
1 2 4 5 6 14
1 2 4 5 7 8
1 2 4 5 7 9
1 2 4 5 7 10
1 2 4 5 7 11
1 2 4 5 7 12
1 2 4 5 7 13
1 2 4 5 7 14
1 2 4 5 8 9
1 2 4 5 8 10
1 2 4 5 8 11
1 2 4 5 8 12
1 2 4 5 8 13
1 2 4 5 8 14
1 2 4 5 9 10
1 2 4 5 9 11
1 2 4 5 9 12
1 2 4 5 9 13
1 2 4 5 9 14
1 2 4 5 10 11
1 2 4 5 10 12
1 2 4 5 10 13
1 2 4 5 10 14
1 2 4 5 11 12
1 2 4 5 11 13
1 2 4 5 11 14
1 2 4 5 12 13
1 2 4 5 12 14
1 2 4 5 13 14
1 2 4 6 7 8
1 2 4 6 7 9
1 2 4 6 7 10
1 2 4 6 7 11
1 2 4 6 7 12
1 2 4 6 7 13
1 2 4 6 7 14
1 2 4 6 8 9
1 2 4 6 8 10
1 2 4 6 8 11
1 2 4 6 8 12
1 2 4 6 8 13
1 2 4 6 8 14
1 2 4 6 9 10
1 2 4 6 9 11
1 2 4 6 9 12
1 2 4 6 9 13
1 2 4 6 9 14
1 2 4 6 10 11
1 2 4 6 10 12
1 2 4 6 10 13
1 2 4 6 10 14
1 2 4 6 11 12
1 2 4 6 11 13
1 2 4 6 11 14
1 2 4 6 12 13
1 2 4 6 12 14
1 2 4 6 13 14
1 2 4 7 8 9
1 2 4 7 8 10
1 2 4 7 8 11
1 2 4 7 8 12
1 2 4 7 8 13
1 2 4 7 8 14
1 2 4 7 9 10
1 2 4 7 9 11
1 2 4 7 9 12
1 2 4 7 9 13
1 2 4 7 9 14
1 2 4 7 10 11
1 2 4 7 10 12
1 2 4 7 10 13
1 2 4 7 10 14
1 2 4 7 11 12
1 2 4 7 11 13
1 2 4 7 11 14
1 2 4 7 12 13
1 2 4 7 12 14
1 2 4 7 13 14
1 2 4 8 9 10
1 2 4 8 9 11
1 2 4 8 9 12
1 2 4 8 9 13
1 2 4 8 9 14
1 2 4 8 10 11
1 2 4 8 10 12
1 2 4 8 10 13
1 2 4 8 10 14
1 2 4 8 11 12
1 2 4 8 11 13
1 2 4 8 11 14
1 2 4 8 12 13
1 2 4 8 12 14
1 2 4 8 13 14
1 2 4 9 10 11
1 2 4 9 10 12
1 2 4 9 10 13
1 2 4 9 10 14
1 2 4 9 11 12
1 2 4 9 11 13
1 2 4 9 11 14
1 2 4 9 12 13
1 2 4 9 12 14
1 2 4 9 13 14
1 2 4 10 11 12
1 2 4 10 11 13
1 2 4 10 11 14
1 2 4 10 12 13
1 2 4 10 12 14
1 2 4 10 13 14
1 2 5 6 7 8
1 2 5 6 7 9
1 2 5 6 7 10
1 2 5 6 7 11
1 2 5 6 7 12
1 2 5 6 7 13
1 2 5 6 7 14
1 2 5 6 8 9
1 2 5 6 8 10
1 2 5 6 8 11
1 2 5 6 8 12
1 2 5 6 8 13
1 2 5 6 8 14
1 2 5 6 9 10
1 2 5 6 9 11
1 2 5 6 9 12
1 2 5 6 9 13
1 2 5 6 9 14
1 2 5 6 10 11
1 2 5 6 10 12
1 2 5 6 10 13
1 2 5 6 10 14
1 2 5 6 11 12
1 2 5 6 11 13
1 2 5 6 11 14
1 2 5 6 12 13
1 2 5 6 12 14
1 2 5 6 13 14
1 2 5 7 8 9
1 2 5 7 8 10
1 2 5 7 8 11
1 2 5 7 8 12
1 2 5 7 8 13
1 2 5 7 8 14
1 2 5 7 9 10
1 2 5 7 9 11
1 2 5 7 9 12
1 2 5 7 9 13
1 2 5 7 9 14
1 2 5 7 10 11
1 2 5 7 10 12
1 2 5 7 10 13
1 2 5 7 10 14
1 2 5 7 11 12
1 2 5 7 11 13
1 2 5 7 11 14
1 2 5 7 12 13
1 2 5 7 12 14
1 2 5 7 13 14
1 2 5 8 9 10
1 2 5 8 9 11
1 2 5 8 9 12
1 2 5 8 9 13
1 2 5 8 9 14
1 2 5 8 10 11
1 2 5 8 10 12
1 2 5 8 10 13
1 2 5 8 10 14
1 2 5 8 11 12
1 2 5 8 11 13
1 2 5 8 11 14
1 2 5 8 12 13
1 2 5 8 12 14
1 2 5 8 13 14
1 2 5 9 10 11
1 2 5 9 10 12
1 2 5 9 10 13
1 2 5 9 10 14
1 2 5 9 11 12
1 2 5 9 11 13
1 2 5 9 11 14
1 2 5 9 12 13
1 2 5 9 12 14
1 2 5 9 13 14
1 2 5 10 11 12
1 2 5 10 11 13
1 2 5 10 11 14
1 2 5 10 12 13
1 2 5 10 12 14
1 2 5 10 13 14
1 2 6 7 8 9
1 2 6 7 8 10
1 2 6 7 8 11
1 2 6 7 8 12
1 2 6 7 8 13
1 2 6 7 8 14
1 2 6 7 9 10
1 2 6 7 9 11
1 2 6 7 9 12
1 2 6 7 9 13
1 2 6 7 9 14
1 2 6 7 10 11
1 2 6 7 10 12
1 2 6 7 10 13
1 2 6 7 10 14
1 2 6 7 11 12
1 2 6 7 11 13
1 2 6 7 11 14
1 2 6 7 12 13
1 2 6 7 12 14
1 2 6 7 13 14
1 2 6 8 9 10
1 2 6 8 9 11
1 2 6 8 9 12
1 2 6 8 9 13
1 2 6 8 9 14
1 2 6 8 10 11
1 2 6 8 10 12
1 2 6 8 10 13
1 2 6 8 10 14
1 2 6 8 11 12
1 2 6 8 11 13
1 2 6 8 11 14
1 2 6 8 12 13
1 2 6 8 12 14
1 2 6 8 13 14
1 2 6 9 10 11
1 2 6 9 10 12
1 2 6 9 10 13
1 2 6 9 10 14
1 2 6 9 11 12
1 2 6 9 11 13
1 2 6 9 11 14
1 2 6 9 12 13
1 2 6 9 12 14
1 2 6 9 13 14
1 2 6 10 11 12
1 2 6 10 11 13
1 2 6 10 11 14
1 2 6 10 12 13
1 2 6 10 12 14
1 2 6 10 13 14
1 2 7 8 9 10
1 2 7 8 9 11
1 2 7 8 9 12
1 2 7 8 9 13
1 2 7 8 9 14
1 2 7 8 10 11
1 2 7 8 10 12
1 2 7 8 10 13
1 2 7 8 10 14
1 2 7 8 11 12
1 2 7 8 11 13
1 2 7 8 11 14
1 2 7 8 12 13
1 2 7 8 12 14
1 2 7 8 13 14
1 2 7 9 10 11
1 2 7 9 10 12
1 2 7 9 10 13
1 2 7 9 10 14
1 2 7 9 11 12
1 2 7 9 11 13
1 2 7 9 11 14
1 2 7 9 12 13
1 2 7 9 12 14
1 2 7 9 13 14
1 2 7 10 11 12
1 2 7 10 11 13
1 2 7 10 11 14
1 2 7 10 12 13
1 2 7 10 12 14
1 2 7 10 13 14
1 2 8 9 10 11
1 2 8 9 10 12
1 2 8 9 10 13
1 2 8 9 10 14
1 2 8 9 11 12
1 2 8 9 11 13
1 2 8 9 11 14
1 2 8 9 12 13
1 2 8 9 12 14
1 2 8 9 13 14
1 2 8 10 11 12
1 2 8 10 11 13
1 2 8 10 11 14
1 2 8 10 12 13
1 2 8 10 12 14
1 2 8 10 13 14
1 2 9 10 11 12
1 2 9 10 11 13
1 2 9 10 11 14
1 2 9 10 12 13
1 2 9 10 12 14
1 2 9 10 13 14
1 3 4 5 6 7
1 3 4 5 6 8
1 3 4 5 6 9
1 3 4 5 6 10
1 3 4 5 6 11
1 3 4 5 6 12
1 3 4 5 6 13
1 3 4 5 6 14
1 3 4 5 7 8
1 3 4 5 7 9
1 3 4 5 7 10
1 3 4 5 7 11
1 3 4 5 7 12
1 3 4 5 7 13
1 3 4 5 7 14
1 3 4 5 8 9
1 3 4 5 8 10
1 3 4 5 8 11
1 3 4 5 8 12
1 3 4 5 8 13
1 3 4 5 8 14
1 3 4 5 9 10
1 3 4 5 9 11
1 3 4 5 9 12
1 3 4 5 9 13
1 3 4 5 9 14
1 3 4 5 10 11
1 3 4 5 10 12
1 3 4 5 10 13
1 3 4 5 10 14
1 3 4 5 11 12
1 3 4 5 11 13
1 3 4 5 11 14
1 3 4 5 12 13
1 3 4 5 12 14
1 3 4 5 13 14
1 3 4 6 7 8
1 3 4 6 7 9
1 3 4 6 7 10
1 3 4 6 7 11
1 3 4 6 7 12
1 3 4 6 7 13
1 3 4 6 7 14
1 3 4 6 8 9
1 3 4 6 8 10
1 3 4 6 8 11
1 3 4 6 8 12
1 3 4 6 8 13
1 3 4 6 8 14
1 3 4 6 9 10
1 3 4 6 9 11
1 3 4 6 9 12
1 3 4 6 9 13
1 3 4 6 9 14
1 3 4 6 10 11
1 3 4 6 10 12
1 3 4 6 10 13
1 3 4 6 10 14
1 3 4 6 11 12
1 3 4 6 11 13
1 3 4 6 11 14
1 3 4 6 12 13
1 3 4 6 12 14
1 3 4 6 13 14
1 3 4 7 8 9
1 3 4 7 8 10
1 3 4 7 8 11
1 3 4 7 8 12
1 3 4 7 8 13
1 3 4 7 8 14
1 3 4 7 9 10
1 3 4 7 9 11
1 3 4 7 9 12
1 3 4 7 9 13
1 3 4 7 9 14
1 3 4 7 10 11
1 3 4 7 10 12
1 3 4 7 10 13
1 3 4 7 10 14
1 3 4 7 11 12
1 3 4 7 11 13
1 3 4 7 11 14
1 3 4 7 12 13
1 3 4 7 12 14
1 3 4 7 13 14
1 3 4 8 9 10
1 3 4 8 9 11
1 3 4 8 9 12
1 3 4 8 9 13
1 3 4 8 9 14
1 3 4 8 10 11
1 3 4 8 10 12
1 3 4 8 10 13
1 3 4 8 10 14
1 3 4 8 11 12
1 3 4 8 11 13
1 3 4 8 11 14
1 3 4 8 12 13
1 3 4 8 12 14
1 3 4 8 13 14
1 3 4 9 10 11
1 3 4 9 10 12
1 3 4 9 10 13
1 3 4 9 10 14
1 3 4 9 11 12
1 3 4 9 11 13
1 3 4 9 11 14
1 3 4 9 12 13
1 3 4 9 12 14
1 3 4 9 13 14
1 3 4 10 11 12
1 3 4 10 11 13
1 3 4 10 11 14
1 3 4 10 12 13
1 3 4 10 12 14
1 3 4 10 13 14
1 3 5 6 7 8
1 3 5 6 7 9
1 3 5 6 7 10
1 3 5 6 7 11
1 3 5 6 7 12
1 3 5 6 7 13
1 3 5 6 7 14
1 3 5 6 8 9
1 3 5 6 8 10
1 3 5 6 8 11
1 3 5 6 8 12
1 3 5 6 8 13
1 3 5 6 8 14
1 3 5 6 9 10
1 3 5 6 9 11
1 3 5 6 9 12
1 3 5 6 9 13
1 3 5 6 9 14
1 3 5 6 10 11
1 3 5 6 10 12
1 3 5 6 10 13
1 3 5 6 10 14
1 3 5 6 11 12
1 3 5 6 11 13
1 3 5 6 11 14
1 3 5 6 12 13
1 3 5 6 12 14
1 3 5 6 13 14
1 3 5 7 8 9
1 3 5 7 8 10
1 3 5 7 8 11
1 3 5 7 8 12
1 3 5 7 8 13
1 3 5 7 8 14
1 3 5 7 9 10
1 3 5 7 9 11
1 3 5 7 9 12
1 3 5 7 9 13
1 3 5 7 9 14
1 3 5 7 10 11
1 3 5 7 10 12
1 3 5 7 10 13
1 3 5 7 10 14
1 3 5 7 11 12
1 3 5 7 11 13
1 3 5 7 11 14
1 3 5 7 12 13
1 3 5 7 12 14
1 3 5 7 13 14
1 3 5 8 9 10
1 3 5 8 9 11
1 3 5 8 9 12
1 3 5 8 9 13
1 3 5 8 9 14
1 3 5 8 10 11
1 3 5 8 10 12
1 3 5 8 10 13
1 3 5 8 10 14
1 3 5 8 11 12
1 3 5 8 11 13
1 3 5 8 11 14
1 3 5 8 12 13
1 3 5 8 12 14
1 3 5 8 13 14
1 3 5 9 10 11
1 3 5 9 10 12
1 3 5 9 10 13
1 3 5 9 10 14
1 3 5 9 11 12
1 3 5 9 11 13
1 3 5 9 11 14
1 3 5 9 12 13
1 3 5 9 12 14
1 3 5 9 13 14
1 3 5 10 11 12
1 3 5 10 11 13
1 3 5 10 11 14
1 3 5 10 12 13
1 3 5 10 12 14
1 3 5 10 13 14
1 3 6 7 8 9
1 3 6 7 8 10
1 3 6 7 8 11
1 3 6 7 8 12
1 3 6 7 8 13
1 3 6 7 8 14
1 3 6 7 9 10
1 3 6 7 9 11
1 3 6 7 9 12
1 3 6 7 9 13
1 3 6 7 9 14
1 3 6 7 10 11
1 3 6 7 10 12
1 3 6 7 10 13
1 3 6 7 10 14
1 3 6 7 11 12
1 3 6 7 11 13
1 3 6 7 11 14
1 3 6 7 12 13
1 3 6 7 12 14
1 3 6 7 13 14
1 3 6 8 9 10
1 3 6 8 9 11
1 3 6 8 9 12
1 3 6 8 9 13
1 3 6 8 9 14
1 3 6 8 10 11
1 3 6 8 10 12
1 3 6 8 10 13
1 3 6 8 10 14
1 3 6 8 11 12
1 3 6 8 11 13
1 3 6 8 11 14
1 3 6 8 12 13
1 3 6 8 12 14
1 3 6 8 13 14
1 3 6 9 10 11
1 3 6 9 10 12
1 3 6 9 10 13
1 3 6 9 10 14
1 3 6 9 11 12
1 3 6 9 11 13
1 3 6 9 11 14
1 3 6 9 12 13
1 3 6 9 12 14
1 3 6 9 13 14
1 3 6 10 11 12
1 3 6 10 11 13
1 3 6 10 11 14
1 3 6 10 12 13
1 3 6 10 12 14
1 3 6 10 13 14
1 3 7 8 9 10
1 3 7 8 9 11
1 3 7 8 9 12
1 3 7 8 9 13
1 3 7 8 9 14
1 3 7 8 10 11
1 3 7 8 10 12
1 3 7 8 10 13
1 3 7 8 10 14
1 3 7 8 11 12
1 3 7 8 11 13
1 3 7 8 11 14
1 3 7 8 12 13
1 3 7 8 12 14
1 3 7 8 13 14
1 3 7 9 10 11
1 3 7 9 10 12
1 3 7 9 10 13
1 3 7 9 10 14
1 3 7 9 11 12
1 3 7 9 11 13
1 3 7 9 11 14
1 3 7 9 12 13
1 3 7 9 12 14
1 3 7 9 13 14
1 3 7 10 11 12
1 3 7 10 11 13
1 3 7 10 11 14
1 3 7 10 12 13
1 3 7 10 12 14
1 3 7 10 13 14
1 3 8 9 10 11
1 3 8 9 10 12
1 3 8 9 10 13
1 3 8 9 10 14
1 3 8 9 11 12
1 3 8 9 11 13
1 3 8 9 11 14
1 3 8 9 12 13
1 3 8 9 12 14
1 3 8 9 13 14
1 3 8 10 11 12
1 3 8 10 11 13
1 3 8 10 11 14
1 3 8 10 12 13
1 3 8 10 12 14
1 3 8 10 13 14
1 3 9 10 11 12
1 3 9 10 11 13
1 3 9 10 11 14
1 3 9 10 12 13
1 3 9 10 12 14
1 3 9 10 13 14
1 4 5 6 7 8
1 4 5 6 7 9
1 4 5 6 7 10
1 4 5 6 7 11
1 4 5 6 7 12
1 4 5 6 7 13
1 4 5 6 7 14
1 4 5 6 8 9
1 4 5 6 8 10
1 4 5 6 8 11
1 4 5 6 8 12
1 4 5 6 8 13
1 4 5 6 8 14
1 4 5 6 9 10
1 4 5 6 9 11
1 4 5 6 9 12
1 4 5 6 9 13
1 4 5 6 9 14
1 4 5 6 10 11
1 4 5 6 10 12
1 4 5 6 10 13
1 4 5 6 10 14
1 4 5 6 11 12
1 4 5 6 11 13
1 4 5 6 11 14
1 4 5 6 12 13
1 4 5 6 12 14
1 4 5 6 13 14
1 4 5 7 8 9
1 4 5 7 8 10
1 4 5 7 8 11
1 4 5 7 8 12
1 4 5 7 8 13
1 4 5 7 8 14
1 4 5 7 9 10
1 4 5 7 9 11
1 4 5 7 9 12
1 4 5 7 9 13
1 4 5 7 9 14
1 4 5 7 10 11
1 4 5 7 10 12
1 4 5 7 10 13
1 4 5 7 10 14
1 4 5 7 11 12
1 4 5 7 11 13
1 4 5 7 11 14
1 4 5 7 12 13
1 4 5 7 12 14
1 4 5 7 13 14
1 4 5 8 9 10
1 4 5 8 9 11
1 4 5 8 9 12
1 4 5 8 9 13
1 4 5 8 9 14
1 4 5 8 10 11
1 4 5 8 10 12
1 4 5 8 10 13
1 4 5 8 10 14
1 4 5 8 11 12
1 4 5 8 11 13
1 4 5 8 11 14
1 4 5 8 12 13
1 4 5 8 12 14
1 4 5 8 13 14
1 4 5 9 10 11
1 4 5 9 10 12
1 4 5 9 10 13
1 4 5 9 10 14
1 4 5 9 11 12
1 4 5 9 11 13
1 4 5 9 11 14
1 4 5 9 12 13
1 4 5 9 12 14
1 4 5 9 13 14
1 4 5 10 11 12
1 4 5 10 11 13
1 4 5 10 11 14
1 4 5 10 12 13
1 4 5 10 12 14
1 4 5 10 13 14
1 4 6 7 8 9
1 4 6 7 8 10
1 4 6 7 8 11
1 4 6 7 8 12
1 4 6 7 8 13
1 4 6 7 8 14
1 4 6 7 9 10
1 4 6 7 9 11
1 4 6 7 9 12
1 4 6 7 9 13
1 4 6 7 9 14
1 4 6 7 10 11
1 4 6 7 10 12
1 4 6 7 10 13
1 4 6 7 10 14
1 4 6 7 11 12
1 4 6 7 11 13
1 4 6 7 11 14
1 4 6 7 12 13
1 4 6 7 12 14
1 4 6 7 13 14
1 4 6 8 9 10
1 4 6 8 9 11
1 4 6 8 9 12
1 4 6 8 9 13
1 4 6 8 9 14
1 4 6 8 10 11
1 4 6 8 10 12
1 4 6 8 10 13
1 4 6 8 10 14
1 4 6 8 11 12
1 4 6 8 11 13
1 4 6 8 11 14
1 4 6 8 12 13
1 4 6 8 12 14
1 4 6 8 13 14
1 4 6 9 10 11
1 4 6 9 10 12
1 4 6 9 10 13
1 4 6 9 10 14
1 4 6 9 11 12
1 4 6 9 11 13
1 4 6 9 11 14
1 4 6 9 12 13
1 4 6 9 12 14
1 4 6 9 13 14
1 4 6 10 11 12
1 4 6 10 11 13
1 4 6 10 11 14
1 4 6 10 12 13
1 4 6 10 12 14
1 4 6 10 13 14
1 4 7 8 9 10
1 4 7 8 9 11
1 4 7 8 9 12
1 4 7 8 9 13
1 4 7 8 9 14
1 4 7 8 10 11
1 4 7 8 10 12
1 4 7 8 10 13
1 4 7 8 10 14
1 4 7 8 11 12
1 4 7 8 11 13
1 4 7 8 11 14
1 4 7 8 12 13
1 4 7 8 12 14
1 4 7 8 13 14
1 4 7 9 10 11
1 4 7 9 10 12
1 4 7 9 10 13
1 4 7 9 10 14
1 4 7 9 11 12
1 4 7 9 11 13
1 4 7 9 11 14
1 4 7 9 12 13
1 4 7 9 12 14
1 4 7 9 13 14
1 4 7 10 11 12
1 4 7 10 11 13
1 4 7 10 11 14
1 4 7 10 12 13
1 4 7 10 12 14
1 4 7 10 13 14
1 4 8 9 10 11
1 4 8 9 10 12
1 4 8 9 10 13
1 4 8 9 10 14
1 4 8 9 11 12
1 4 8 9 11 13
1 4 8 9 11 14
1 4 8 9 12 13
1 4 8 9 12 14
1 4 8 9 13 14
1 4 8 10 11 12
1 4 8 10 11 13
1 4 8 10 11 14
1 4 8 10 12 13
1 4 8 10 12 14
1 4 8 10 13 14
1 4 9 10 11 12
1 4 9 10 11 13
1 4 9 10 11 14
1 4 9 10 12 13
1 4 9 10 12 14
1 4 9 10 13 14
1 5 6 7 8 9
1 5 6 7 8 10
1 5 6 7 8 11
1 5 6 7 8 12
1 5 6 7 8 13
1 5 6 7 8 14
1 5 6 7 9 10
1 5 6 7 9 11
1 5 6 7 9 12
1 5 6 7 9 13
1 5 6 7 9 14
1 5 6 7 10 11
1 5 6 7 10 12
1 5 6 7 10 13
1 5 6 7 10 14
1 5 6 7 11 12
1 5 6 7 11 13
1 5 6 7 11 14
1 5 6 7 12 13
1 5 6 7 12 14
1 5 6 7 13 14
1 5 6 8 9 10
1 5 6 8 9 11
1 5 6 8 9 12
1 5 6 8 9 13
1 5 6 8 9 14
1 5 6 8 10 11
1 5 6 8 10 12
1 5 6 8 10 13
1 5 6 8 10 14
1 5 6 8 11 12
1 5 6 8 11 13
1 5 6 8 11 14
1 5 6 8 12 13
1 5 6 8 12 14
1 5 6 8 13 14
1 5 6 9 10 11
1 5 6 9 10 12
1 5 6 9 10 13
1 5 6 9 10 14
1 5 6 9 11 12
1 5 6 9 11 13
1 5 6 9 11 14
1 5 6 9 12 13
1 5 6 9 12 14
1 5 6 9 13 14
1 5 6 10 11 12
1 5 6 10 11 13
1 5 6 10 11 14
1 5 6 10 12 13
1 5 6 10 12 14
1 5 6 10 13 14
1 5 7 8 9 10
1 5 7 8 9 11
1 5 7 8 9 12
1 5 7 8 9 13
1 5 7 8 9 14
1 5 7 8 10 11
1 5 7 8 10 12
1 5 7 8 10 13
1 5 7 8 10 14
1 5 7 8 11 12
1 5 7 8 11 13
1 5 7 8 11 14
1 5 7 8 12 13
1 5 7 8 12 14
1 5 7 8 13 14
1 5 7 9 10 11
1 5 7 9 10 12
1 5 7 9 10 13
1 5 7 9 10 14
1 5 7 9 11 12
1 5 7 9 11 13
1 5 7 9 11 14
1 5 7 9 12 13
1 5 7 9 12 14
1 5 7 9 13 14
1 5 7 10 11 12
1 5 7 10 11 13
1 5 7 10 11 14
1 5 7 10 12 13
1 5 7 10 12 14
1 5 7 10 13 14
1 5 8 9 10 11
1 5 8 9 10 12
1 5 8 9 10 13
1 5 8 9 10 14
1 5 8 9 11 12
1 5 8 9 11 13
1 5 8 9 11 14
1 5 8 9 12 13
1 5 8 9 12 14
1 5 8 9 13 14
1 5 8 10 11 12
1 5 8 10 11 13
1 5 8 10 11 14
1 5 8 10 12 13
1 5 8 10 12 14
1 5 8 10 13 14
1 5 9 10 11 12
1 5 9 10 11 13
1 5 9 10 11 14
1 5 9 10 12 13
1 5 9 10 12 14
1 5 9 10 13 14
1 6 7 8 9 10
1 6 7 8 9 11
1 6 7 8 9 12
1 6 7 8 9 13
1 6 7 8 9 14
1 6 7 8 10 11
1 6 7 8 10 12
1 6 7 8 10 13
1 6 7 8 10 14
1 6 7 8 11 12
1 6 7 8 11 13
1 6 7 8 11 14
1 6 7 8 12 13
1 6 7 8 12 14
1 6 7 8 13 14
1 6 7 9 10 11
1 6 7 9 10 12
1 6 7 9 10 13
1 6 7 9 10 14
1 6 7 9 11 12
1 6 7 9 11 13
1 6 7 9 11 14
1 6 7 9 12 13
1 6 7 9 12 14
1 6 7 9 13 14
1 6 7 10 11 12
1 6 7 10 11 13
1 6 7 10 11 14
1 6 7 10 12 13
1 6 7 10 12 14
1 6 7 10 13 14
1 6 8 9 10 11
1 6 8 9 10 12
1 6 8 9 10 13
1 6 8 9 10 14
1 6 8 9 11 12
1 6 8 9 11 13
1 6 8 9 11 14
1 6 8 9 12 13
1 6 8 9 12 14
1 6 8 9 13 14
1 6 8 10 11 12
1 6 8 10 11 13
1 6 8 10 11 14
1 6 8 10 12 13
1 6 8 10 12 14
1 6 8 10 13 14
1 6 9 10 11 12
1 6 9 10 11 13
1 6 9 10 11 14
1 6 9 10 12 13
1 6 9 10 12 14
1 6 9 10 13 14
1 7 8 9 10 11
1 7 8 9 10 12
1 7 8 9 10 13
1 7 8 9 10 14
1 7 8 9 11 12
1 7 8 9 11 13
1 7 8 9 11 14
1 7 8 9 12 13
1 7 8 9 12 14
1 7 8 9 13 14
1 7 8 10 11 12
1 7 8 10 11 13
1 7 8 10 11 14
1 7 8 10 12 13
1 7 8 10 12 14
1 7 8 10 13 14
1 7 9 10 11 12
1 7 9 10 11 13
1 7 9 10 11 14
1 7 9 10 12 13
1 7 9 10 12 14
1 7 9 10 13 14
1 8 9 10 11 12
1 8 9 10 11 13
1 8 9 10 11 14
1 8 9 10 12 13
1 8 9 10 12 14
1 8 9 10 13 14
2 3 4 5 6 7
2 3 4 5 6 8
2 3 4 5 6 9
2 3 4 5 6 10
2 3 4 5 6 11
2 3 4 5 6 12
2 3 4 5 6 13
2 3 4 5 6 14
2 3 4 5 7 8
2 3 4 5 7 9
2 3 4 5 7 10
2 3 4 5 7 11
2 3 4 5 7 12
2 3 4 5 7 13
2 3 4 5 7 14
2 3 4 5 8 9
2 3 4 5 8 10
2 3 4 5 8 11
2 3 4 5 8 12
2 3 4 5 8 13
2 3 4 5 8 14
2 3 4 5 9 10
2 3 4 5 9 11
2 3 4 5 9 12
2 3 4 5 9 13
2 3 4 5 9 14
2 3 4 5 10 11
2 3 4 5 10 12
2 3 4 5 10 13
2 3 4 5 10 14
2 3 4 5 11 12
2 3 4 5 11 13
2 3 4 5 11 14
2 3 4 5 12 13
2 3 4 5 12 14
2 3 4 5 13 14
2 3 4 6 7 8
2 3 4 6 7 9
2 3 4 6 7 10
2 3 4 6 7 11
2 3 4 6 7 12
2 3 4 6 7 13
2 3 4 6 7 14
2 3 4 6 8 9
2 3 4 6 8 10
2 3 4 6 8 11
2 3 4 6 8 12
2 3 4 6 8 13
2 3 4 6 8 14
2 3 4 6 9 10
2 3 4 6 9 11
2 3 4 6 9 12
2 3 4 6 9 13
2 3 4 6 9 14
2 3 4 6 10 11
2 3 4 6 10 12
2 3 4 6 10 13
2 3 4 6 10 14
2 3 4 6 11 12
2 3 4 6 11 13
2 3 4 6 11 14
2 3 4 6 12 13
2 3 4 6 12 14
2 3 4 6 13 14
2 3 4 7 8 9
2 3 4 7 8 10
2 3 4 7 8 11
2 3 4 7 8 12
2 3 4 7 8 13
2 3 4 7 8 14
2 3 4 7 9 10
2 3 4 7 9 11
2 3 4 7 9 12
2 3 4 7 9 13
2 3 4 7 9 14
2 3 4 7 10 11
2 3 4 7 10 12
2 3 4 7 10 13
2 3 4 7 10 14
2 3 4 7 11 12
2 3 4 7 11 13
2 3 4 7 11 14
2 3 4 7 12 13
2 3 4 7 12 14
2 3 4 7 13 14
2 3 4 8 9 10
2 3 4 8 9 11
2 3 4 8 9 12
2 3 4 8 9 13
2 3 4 8 9 14
2 3 4 8 10 11
2 3 4 8 10 12
2 3 4 8 10 13
2 3 4 8 10 14
2 3 4 8 11 12
2 3 4 8 11 13
2 3 4 8 11 14
2 3 4 8 12 13
2 3 4 8 12 14
2 3 4 8 13 14
2 3 4 9 10 11
2 3 4 9 10 12
2 3 4 9 10 13
2 3 4 9 10 14
2 3 4 9 11 12
2 3 4 9 11 13
2 3 4 9 11 14
2 3 4 9 12 13
2 3 4 9 12 14
2 3 4 9 13 14
2 3 4 10 11 12
2 3 4 10 11 13
2 3 4 10 11 14
2 3 4 10 12 13
2 3 4 10 12 14
2 3 4 10 13 14
2 3 5 6 7 8
2 3 5 6 7 9
2 3 5 6 7 10
2 3 5 6 7 11
2 3 5 6 7 12
2 3 5 6 7 13
2 3 5 6 7 14
2 3 5 6 8 9
2 3 5 6 8 10
2 3 5 6 8 11
2 3 5 6 8 12
2 3 5 6 8 13
2 3 5 6 8 14
2 3 5 6 9 10
2 3 5 6 9 11
2 3 5 6 9 12
2 3 5 6 9 13
2 3 5 6 9 14
2 3 5 6 10 11
2 3 5 6 10 12
2 3 5 6 10 13
2 3 5 6 10 14
2 3 5 6 11 12
2 3 5 6 11 13
2 3 5 6 11 14
2 3 5 6 12 13
2 3 5 6 12 14
2 3 5 6 13 14
2 3 5 7 8 9
2 3 5 7 8 10
2 3 5 7 8 11
2 3 5 7 8 12
2 3 5 7 8 13
2 3 5 7 8 14
2 3 5 7 9 10
2 3 5 7 9 11
2 3 5 7 9 12
2 3 5 7 9 13
2 3 5 7 9 14
2 3 5 7 10 11
2 3 5 7 10 12
2 3 5 7 10 13
2 3 5 7 10 14
2 3 5 7 11 12
2 3 5 7 11 13
2 3 5 7 11 14
2 3 5 7 12 13
2 3 5 7 12 14
2 3 5 7 13 14
2 3 5 8 9 10
2 3 5 8 9 11
2 3 5 8 9 12
2 3 5 8 9 13
2 3 5 8 9 14
2 3 5 8 10 11
2 3 5 8 10 12
2 3 5 8 10 13
2 3 5 8 10 14
2 3 5 8 11 12
2 3 5 8 11 13
2 3 5 8 11 14
2 3 5 8 12 13
2 3 5 8 12 14
2 3 5 8 13 14
2 3 5 9 10 11
2 3 5 9 10 12
2 3 5 9 10 13
2 3 5 9 10 14
2 3 5 9 11 12
2 3 5 9 11 13
2 3 5 9 11 14
2 3 5 9 12 13
2 3 5 9 12 14
2 3 5 9 13 14
2 3 5 10 11 12
2 3 5 10 11 13
2 3 5 10 11 14
2 3 5 10 12 13
2 3 5 10 12 14
2 3 5 10 13 14
2 3 6 7 8 9
2 3 6 7 8 10
2 3 6 7 8 11
2 3 6 7 8 12
2 3 6 7 8 13
2 3 6 7 8 14
2 3 6 7 9 10
2 3 6 7 9 11
2 3 6 7 9 12
2 3 6 7 9 13
2 3 6 7 9 14
2 3 6 7 10 11
2 3 6 7 10 12
2 3 6 7 10 13
2 3 6 7 10 14
2 3 6 7 11 12
2 3 6 7 11 13
2 3 6 7 11 14
2 3 6 7 12 13
2 3 6 7 12 14
2 3 6 7 13 14
2 3 6 8 9 10
2 3 6 8 9 11
2 3 6 8 9 12
2 3 6 8 9 13
2 3 6 8 9 14
2 3 6 8 10 11
2 3 6 8 10 12
2 3 6 8 10 13
2 3 6 8 10 14
2 3 6 8 11 12
2 3 6 8 11 13
2 3 6 8 11 14
2 3 6 8 12 13
2 3 6 8 12 14
2 3 6 8 13 14
2 3 6 9 10 11
2 3 6 9 10 12
2 3 6 9 10 13
2 3 6 9 10 14
2 3 6 9 11 12
2 3 6 9 11 13
2 3 6 9 11 14
2 3 6 9 12 13
2 3 6 9 12 14
2 3 6 9 13 14
2 3 6 10 11 12
2 3 6 10 11 13
2 3 6 10 11 14
2 3 6 10 12 13
2 3 6 10 12 14
2 3 6 10 13 14
2 3 7 8 9 10
2 3 7 8 9 11
2 3 7 8 9 12
2 3 7 8 9 13
2 3 7 8 9 14
2 3 7 8 10 11
2 3 7 8 10 12
2 3 7 8 10 13
2 3 7 8 10 14
2 3 7 8 11 12
2 3 7 8 11 13
2 3 7 8 11 14
2 3 7 8 12 13
2 3 7 8 12 14
2 3 7 8 13 14
2 3 7 9 10 11
2 3 7 9 10 12
2 3 7 9 10 13
2 3 7 9 10 14
2 3 7 9 11 12
2 3 7 9 11 13
2 3 7 9 11 14
2 3 7 9 12 13
2 3 7 9 12 14
2 3 7 9 13 14
2 3 7 10 11 12
2 3 7 10 11 13
2 3 7 10 11 14
2 3 7 10 12 13
2 3 7 10 12 14
2 3 7 10 13 14
2 3 8 9 10 11
2 3 8 9 10 12
2 3 8 9 10 13
2 3 8 9 10 14
2 3 8 9 11 12
2 3 8 9 11 13
2 3 8 9 11 14
2 3 8 9 12 13
2 3 8 9 12 14
2 3 8 9 13 14
2 3 8 10 11 12
2 3 8 10 11 13
2 3 8 10 11 14
2 3 8 10 12 13
2 3 8 10 12 14
2 3 8 10 13 14
2 3 9 10 11 12
2 3 9 10 11 13
2 3 9 10 11 14
2 3 9 10 12 13
2 3 9 10 12 14
2 3 9 10 13 14
2 4 5 6 7 8
2 4 5 6 7 9
2 4 5 6 7 10
2 4 5 6 7 11
2 4 5 6 7 12
2 4 5 6 7 13
2 4 5 6 7 14
2 4 5 6 8 9
2 4 5 6 8 10
2 4 5 6 8 11
2 4 5 6 8 12
2 4 5 6 8 13
2 4 5 6 8 14
2 4 5 6 9 10
2 4 5 6 9 11
2 4 5 6 9 12
2 4 5 6 9 13
2 4 5 6 9 14
2 4 5 6 10 11
2 4 5 6 10 12
2 4 5 6 10 13
2 4 5 6 10 14
2 4 5 6 11 12
2 4 5 6 11 13
2 4 5 6 11 14
2 4 5 6 12 13
2 4 5 6 12 14
2 4 5 6 13 14
2 4 5 7 8 9
2 4 5 7 8 10
2 4 5 7 8 11
2 4 5 7 8 12
2 4 5 7 8 13
2 4 5 7 8 14
2 4 5 7 9 10
2 4 5 7 9 11
2 4 5 7 9 12
2 4 5 7 9 13
2 4 5 7 9 14
2 4 5 7 10 11
2 4 5 7 10 12
2 4 5 7 10 13
2 4 5 7 10 14
2 4 5 7 11 12
2 4 5 7 11 13
2 4 5 7 11 14
2 4 5 7 12 13
2 4 5 7 12 14
2 4 5 7 13 14
2 4 5 8 9 10
2 4 5 8 9 11
2 4 5 8 9 12
2 4 5 8 9 13
2 4 5 8 9 14
2 4 5 8 10 11
2 4 5 8 10 12
2 4 5 8 10 13
2 4 5 8 10 14
2 4 5 8 11 12
2 4 5 8 11 13
2 4 5 8 11 14
2 4 5 8 12 13
2 4 5 8 12 14
2 4 5 8 13 14
2 4 5 9 10 11
2 4 5 9 10 12
2 4 5 9 10 13
2 4 5 9 10 14
2 4 5 9 11 12
2 4 5 9 11 13
2 4 5 9 11 14
2 4 5 9 12 13
2 4 5 9 12 14
2 4 5 9 13 14
2 4 5 10 11 12
2 4 5 10 11 13
2 4 5 10 11 14
2 4 5 10 12 13
2 4 5 10 12 14
2 4 5 10 13 14
2 4 6 7 8 9
2 4 6 7 8 10
2 4 6 7 8 11
2 4 6 7 8 12
2 4 6 7 8 13
2 4 6 7 8 14
2 4 6 7 9 10
2 4 6 7 9 11
2 4 6 7 9 12
2 4 6 7 9 13
2 4 6 7 9 14
2 4 6 7 10 11
2 4 6 7 10 12
2 4 6 7 10 13
2 4 6 7 10 14
2 4 6 7 11 12
2 4 6 7 11 13
2 4 6 7 11 14
2 4 6 7 12 13
2 4 6 7 12 14
2 4 6 7 13 14
2 4 6 8 9 10
2 4 6 8 9 11
2 4 6 8 9 12
2 4 6 8 9 13
2 4 6 8 9 14
2 4 6 8 10 11
2 4 6 8 10 12
2 4 6 8 10 13
2 4 6 8 10 14
2 4 6 8 11 12
2 4 6 8 11 13
2 4 6 8 11 14
2 4 6 8 12 13
2 4 6 8 12 14
2 4 6 8 13 14
2 4 6 9 10 11
2 4 6 9 10 12
2 4 6 9 10 13
2 4 6 9 10 14
2 4 6 9 11 12
2 4 6 9 11 13
2 4 6 9 11 14
2 4 6 9 12 13
2 4 6 9 12 14
2 4 6 9 13 14
2 4 6 10 11 12
2 4 6 10 11 13
2 4 6 10 11 14
2 4 6 10 12 13
2 4 6 10 12 14
2 4 6 10 13 14
2 4 7 8 9 10
2 4 7 8 9 11
2 4 7 8 9 12
2 4 7 8 9 13
2 4 7 8 9 14
2 4 7 8 10 11
2 4 7 8 10 12
2 4 7 8 10 13
2 4 7 8 10 14
2 4 7 8 11 12
2 4 7 8 11 13
2 4 7 8 11 14
2 4 7 8 12 13
2 4 7 8 12 14
2 4 7 8 13 14
2 4 7 9 10 11
2 4 7 9 10 12
2 4 7 9 10 13
2 4 7 9 10 14
2 4 7 9 11 12
2 4 7 9 11 13
2 4 7 9 11 14
2 4 7 9 12 13
2 4 7 9 12 14
2 4 7 9 13 14
2 4 7 10 11 12
2 4 7 10 11 13
2 4 7 10 11 14
2 4 7 10 12 13
2 4 7 10 12 14
2 4 7 10 13 14
2 4 8 9 10 11
2 4 8 9 10 12
2 4 8 9 10 13
2 4 8 9 10 14
2 4 8 9 11 12
2 4 8 9 11 13
2 4 8 9 11 14
2 4 8 9 12 13
2 4 8 9 12 14
2 4 8 9 13 14
2 4 8 10 11 12
2 4 8 10 11 13
2 4 8 10 11 14
2 4 8 10 12 13
2 4 8 10 12 14
2 4 8 10 13 14
2 4 9 10 11 12
2 4 9 10 11 13
2 4 9 10 11 14
2 4 9 10 12 13
2 4 9 10 12 14
2 4 9 10 13 14
2 5 6 7 8 9
2 5 6 7 8 10
2 5 6 7 8 11
2 5 6 7 8 12
2 5 6 7 8 13
2 5 6 7 8 14
2 5 6 7 9 10
2 5 6 7 9 11
2 5 6 7 9 12
2 5 6 7 9 13
2 5 6 7 9 14
2 5 6 7 10 11
2 5 6 7 10 12
2 5 6 7 10 13
2 5 6 7 10 14
2 5 6 7 11 12
2 5 6 7 11 13
2 5 6 7 11 14
2 5 6 7 12 13
2 5 6 7 12 14
2 5 6 7 13 14
2 5 6 8 9 10
2 5 6 8 9 11
2 5 6 8 9 12
2 5 6 8 9 13
2 5 6 8 9 14
2 5 6 8 10 11
2 5 6 8 10 12
2 5 6 8 10 13
2 5 6 8 10 14
2 5 6 8 11 12
2 5 6 8 11 13
2 5 6 8 11 14
2 5 6 8 12 13
2 5 6 8 12 14
2 5 6 8 13 14
2 5 6 9 10 11
2 5 6 9 10 12
2 5 6 9 10 13
2 5 6 9 10 14
2 5 6 9 11 12
2 5 6 9 11 13
2 5 6 9 11 14
2 5 6 9 12 13
2 5 6 9 12 14
2 5 6 9 13 14
2 5 6 10 11 12
2 5 6 10 11 13
2 5 6 10 11 14
2 5 6 10 12 13
2 5 6 10 12 14
2 5 6 10 13 14
2 5 7 8 9 10
2 5 7 8 9 11
2 5 7 8 9 12
2 5 7 8 9 13
2 5 7 8 9 14
2 5 7 8 10 11
2 5 7 8 10 12
2 5 7 8 10 13
2 5 7 8 10 14
2 5 7 8 11 12
2 5 7 8 11 13
2 5 7 8 11 14
2 5 7 8 12 13
2 5 7 8 12 14
2 5 7 8 13 14
2 5 7 9 10 11
2 5 7 9 10 12
2 5 7 9 10 13
2 5 7 9 10 14
2 5 7 9 11 12
2 5 7 9 11 13
2 5 7 9 11 14
2 5 7 9 12 13
2 5 7 9 12 14
2 5 7 9 13 14
2 5 7 10 11 12
2 5 7 10 11 13
2 5 7 10 11 14
2 5 7 10 12 13
2 5 7 10 12 14
2 5 7 10 13 14
2 5 8 9 10 11
2 5 8 9 10 12
2 5 8 9 10 13
2 5 8 9 10 14
2 5 8 9 11 12
2 5 8 9 11 13
2 5 8 9 11 14
2 5 8 9 12 13
2 5 8 9 12 14
2 5 8 9 13 14
2 5 8 10 11 12
2 5 8 10 11 13
2 5 8 10 11 14
2 5 8 10 12 13
2 5 8 10 12 14
2 5 8 10 13 14
2 5 9 10 11 12
2 5 9 10 11 13
2 5 9 10 11 14
2 5 9 10 12 13
2 5 9 10 12 14
2 5 9 10 13 14
2 6 7 8 9 10
2 6 7 8 9 11
2 6 7 8 9 12
2 6 7 8 9 13
2 6 7 8 9 14
2 6 7 8 10 11
2 6 7 8 10 12
2 6 7 8 10 13
2 6 7 8 10 14
2 6 7 8 11 12
2 6 7 8 11 13
2 6 7 8 11 14
2 6 7 8 12 13
2 6 7 8 12 14
2 6 7 8 13 14
2 6 7 9 10 11
2 6 7 9 10 12
2 6 7 9 10 13
2 6 7 9 10 14
2 6 7 9 11 12
2 6 7 9 11 13
2 6 7 9 11 14
2 6 7 9 12 13
2 6 7 9 12 14
2 6 7 9 13 14
2 6 7 10 11 12
2 6 7 10 11 13
2 6 7 10 11 14
2 6 7 10 12 13
2 6 7 10 12 14
2 6 7 10 13 14
2 6 8 9 10 11
2 6 8 9 10 12
2 6 8 9 10 13
2 6 8 9 10 14
2 6 8 9 11 12
2 6 8 9 11 13
2 6 8 9 11 14
2 6 8 9 12 13
2 6 8 9 12 14
2 6 8 9 13 14
2 6 8 10 11 12
2 6 8 10 11 13
2 6 8 10 11 14
2 6 8 10 12 13
2 6 8 10 12 14
2 6 8 10 13 14
2 6 9 10 11 12
2 6 9 10 11 13
2 6 9 10 11 14
2 6 9 10 12 13
2 6 9 10 12 14
2 6 9 10 13 14
2 7 8 9 10 11
2 7 8 9 10 12
2 7 8 9 10 13
2 7 8 9 10 14
2 7 8 9 11 12
2 7 8 9 11 13
2 7 8 9 11 14
2 7 8 9 12 13
2 7 8 9 12 14
2 7 8 9 13 14
2 7 8 10 11 12
2 7 8 10 11 13
2 7 8 10 11 14
2 7 8 10 12 13
2 7 8 10 12 14
2 7 8 10 13 14
2 7 9 10 11 12
2 7 9 10 11 13
2 7 9 10 11 14
2 7 9 10 12 13
2 7 9 10 12 14
2 7 9 10 13 14
2 8 9 10 11 12
2 8 9 10 11 13
2 8 9 10 11 14
2 8 9 10 12 13
2 8 9 10 12 14
2 8 9 10 13 14
3 4 5 6 7 8
3 4 5 6 7 9
3 4 5 6 7 10
3 4 5 6 7 11
3 4 5 6 7 12
3 4 5 6 7 13
3 4 5 6 7 14
3 4 5 6 8 9
3 4 5 6 8 10
3 4 5 6 8 11
3 4 5 6 8 12
3 4 5 6 8 13
3 4 5 6 8 14
3 4 5 6 9 10
3 4 5 6 9 11
3 4 5 6 9 12
3 4 5 6 9 13
3 4 5 6 9 14
3 4 5 6 10 11
3 4 5 6 10 12
3 4 5 6 10 13
3 4 5 6 10 14
3 4 5 6 11 12
3 4 5 6 11 13
3 4 5 6 11 14
3 4 5 6 12 13
3 4 5 6 12 14
3 4 5 6 13 14
3 4 5 7 8 9
3 4 5 7 8 10
3 4 5 7 8 11
3 4 5 7 8 12
3 4 5 7 8 13
3 4 5 7 8 14
3 4 5 7 9 10
3 4 5 7 9 11
3 4 5 7 9 12
3 4 5 7 9 13
3 4 5 7 9 14
3 4 5 7 10 11
3 4 5 7 10 12
3 4 5 7 10 13
3 4 5 7 10 14
3 4 5 7 11 12
3 4 5 7 11 13
3 4 5 7 11 14
3 4 5 7 12 13
3 4 5 7 12 14
3 4 5 7 13 14
3 4 5 8 9 10
3 4 5 8 9 11
3 4 5 8 9 12
3 4 5 8 9 13
3 4 5 8 9 14
3 4 5 8 10 11
3 4 5 8 10 12
3 4 5 8 10 13
3 4 5 8 10 14
3 4 5 8 11 12
3 4 5 8 11 13
3 4 5 8 11 14
3 4 5 8 12 13
3 4 5 8 12 14
3 4 5 8 13 14
3 4 5 9 10 11
3 4 5 9 10 12
3 4 5 9 10 13
3 4 5 9 10 14
3 4 5 9 11 12
3 4 5 9 11 13
3 4 5 9 11 14
3 4 5 9 12 13
3 4 5 9 12 14
3 4 5 9 13 14
3 4 5 10 11 12
3 4 5 10 11 13
3 4 5 10 11 14
3 4 5 10 12 13
3 4 5 10 12 14
3 4 5 10 13 14
3 4 6 7 8 9
3 4 6 7 8 10
3 4 6 7 8 11
3 4 6 7 8 12
3 4 6 7 8 13
3 4 6 7 8 14
3 4 6 7 9 10
3 4 6 7 9 11
3 4 6 7 9 12
3 4 6 7 9 13
3 4 6 7 9 14
3 4 6 7 10 11
3 4 6 7 10 12
3 4 6 7 10 13
3 4 6 7 10 14
3 4 6 7 11 12
3 4 6 7 11 13
3 4 6 7 11 14
3 4 6 7 12 13
3 4 6 7 12 14
3 4 6 7 13 14
3 4 6 8 9 10
3 4 6 8 9 11
3 4 6 8 9 12
3 4 6 8 9 13
3 4 6 8 9 14
3 4 6 8 10 11
3 4 6 8 10 12
3 4 6 8 10 13
3 4 6 8 10 14
3 4 6 8 11 12
3 4 6 8 11 13
3 4 6 8 11 14
3 4 6 8 12 13
3 4 6 8 12 14
3 4 6 8 13 14
3 4 6 9 10 11
3 4 6 9 10 12
3 4 6 9 10 13
3 4 6 9 10 14
3 4 6 9 11 12
3 4 6 9 11 13
3 4 6 9 11 14
3 4 6 9 12 13
3 4 6 9 12 14
3 4 6 9 13 14
3 4 6 10 11 12
3 4 6 10 11 13
3 4 6 10 11 14
3 4 6 10 12 13
3 4 6 10 12 14
3 4 6 10 13 14
3 4 7 8 9 10
3 4 7 8 9 11
3 4 7 8 9 12
3 4 7 8 9 13
3 4 7 8 9 14
3 4 7 8 10 11
3 4 7 8 10 12
3 4 7 8 10 13
3 4 7 8 10 14
3 4 7 8 11 12
3 4 7 8 11 13
3 4 7 8 11 14
3 4 7 8 12 13
3 4 7 8 12 14
3 4 7 8 13 14
3 4 7 9 10 11
3 4 7 9 10 12
3 4 7 9 10 13
3 4 7 9 10 14
3 4 7 9 11 12
3 4 7 9 11 13
3 4 7 9 11 14
3 4 7 9 12 13
3 4 7 9 12 14
3 4 7 9 13 14
3 4 7 10 11 12
3 4 7 10 11 13
3 4 7 10 11 14
3 4 7 10 12 13
3 4 7 10 12 14
3 4 7 10 13 14
3 4 8 9 10 11
3 4 8 9 10 12
3 4 8 9 10 13
3 4 8 9 10 14
3 4 8 9 11 12
3 4 8 9 11 13
3 4 8 9 11 14
3 4 8 9 12 13
3 4 8 9 12 14
3 4 8 9 13 14
3 4 8 10 11 12
3 4 8 10 11 13
3 4 8 10 11 14
3 4 8 10 12 13
3 4 8 10 12 14
3 4 8 10 13 14
3 4 9 10 11 12
3 4 9 10 11 13
3 4 9 10 11 14
3 4 9 10 12 13
3 4 9 10 12 14
3 4 9 10 13 14
3 5 6 7 8 9
3 5 6 7 8 10
3 5 6 7 8 11
3 5 6 7 8 12
3 5 6 7 8 13
3 5 6 7 8 14
3 5 6 7 9 10
3 5 6 7 9 11
3 5 6 7 9 12
3 5 6 7 9 13
3 5 6 7 9 14
3 5 6 7 10 11
3 5 6 7 10 12
3 5 6 7 10 13
3 5 6 7 10 14
3 5 6 7 11 12
3 5 6 7 11 13
3 5 6 7 11 14
3 5 6 7 12 13
3 5 6 7 12 14
3 5 6 7 13 14
3 5 6 8 9 10
3 5 6 8 9 11
3 5 6 8 9 12
3 5 6 8 9 13
3 5 6 8 9 14
3 5 6 8 10 11
3 5 6 8 10 12
3 5 6 8 10 13
3 5 6 8 10 14
3 5 6 8 11 12
3 5 6 8 11 13
3 5 6 8 11 14
3 5 6 8 12 13
3 5 6 8 12 14
3 5 6 8 13 14
3 5 6 9 10 11
3 5 6 9 10 12
3 5 6 9 10 13
3 5 6 9 10 14
3 5 6 9 11 12
3 5 6 9 11 13
3 5 6 9 11 14
3 5 6 9 12 13
3 5 6 9 12 14
3 5 6 9 13 14
3 5 6 10 11 12
3 5 6 10 11 13
3 5 6 10 11 14
3 5 6 10 12 13
3 5 6 10 12 14
3 5 6 10 13 14
3 5 7 8 9 10
3 5 7 8 9 11
3 5 7 8 9 12
3 5 7 8 9 13
3 5 7 8 9 14
3 5 7 8 10 11
3 5 7 8 10 12
3 5 7 8 10 13
3 5 7 8 10 14
3 5 7 8 11 12
3 5 7 8 11 13
3 5 7 8 11 14
3 5 7 8 12 13
3 5 7 8 12 14
3 5 7 8 13 14
3 5 7 9 10 11
3 5 7 9 10 12
3 5 7 9 10 13
3 5 7 9 10 14
3 5 7 9 11 12
3 5 7 9 11 13
3 5 7 9 11 14
3 5 7 9 12 13
3 5 7 9 12 14
3 5 7 9 13 14
3 5 7 10 11 12
3 5 7 10 11 13
3 5 7 10 11 14
3 5 7 10 12 13
3 5 7 10 12 14
3 5 7 10 13 14
3 5 8 9 10 11
3 5 8 9 10 12
3 5 8 9 10 13
3 5 8 9 10 14
3 5 8 9 11 12
3 5 8 9 11 13
3 5 8 9 11 14
3 5 8 9 12 13
3 5 8 9 12 14
3 5 8 9 13 14
3 5 8 10 11 12
3 5 8 10 11 13
3 5 8 10 11 14
3 5 8 10 12 13
3 5 8 10 12 14
3 5 8 10 13 14
3 5 9 10 11 12
3 5 9 10 11 13
3 5 9 10 11 14
3 5 9 10 12 13
3 5 9 10 12 14
3 5 9 10 13 14
3 6 7 8 9 10
3 6 7 8 9 11
3 6 7 8 9 12
3 6 7 8 9 13
3 6 7 8 9 14
3 6 7 8 10 11
3 6 7 8 10 12
3 6 7 8 10 13
3 6 7 8 10 14
3 6 7 8 11 12
3 6 7 8 11 13
3 6 7 8 11 14
3 6 7 8 12 13
3 6 7 8 12 14
3 6 7 8 13 14
3 6 7 9 10 11
3 6 7 9 10 12
3 6 7 9 10 13
3 6 7 9 10 14
3 6 7 9 11 12
3 6 7 9 11 13
3 6 7 9 11 14
3 6 7 9 12 13
3 6 7 9 12 14
3 6 7 9 13 14
3 6 7 10 11 12
3 6 7 10 11 13
3 6 7 10 11 14
3 6 7 10 12 13
3 6 7 10 12 14
3 6 7 10 13 14
3 6 8 9 10 11
3 6 8 9 10 12
3 6 8 9 10 13
3 6 8 9 10 14
3 6 8 9 11 12
3 6 8 9 11 13
3 6 8 9 11 14
3 6 8 9 12 13
3 6 8 9 12 14
3 6 8 9 13 14
3 6 8 10 11 12
3 6 8 10 11 13
3 6 8 10 11 14
3 6 8 10 12 13
3 6 8 10 12 14
3 6 8 10 13 14
3 6 9 10 11 12
3 6 9 10 11 13
3 6 9 10 11 14
3 6 9 10 12 13
3 6 9 10 12 14
3 6 9 10 13 14
3 7 8 9 10 11
3 7 8 9 10 12
3 7 8 9 10 13
3 7 8 9 10 14
3 7 8 9 11 12
3 7 8 9 11 13
3 7 8 9 11 14
3 7 8 9 12 13
3 7 8 9 12 14
3 7 8 9 13 14
3 7 8 10 11 12
3 7 8 10 11 13
3 7 8 10 11 14
3 7 8 10 12 13
3 7 8 10 12 14
3 7 8 10 13 14
3 7 9 10 11 12
3 7 9 10 11 13
3 7 9 10 11 14
3 7 9 10 12 13
3 7 9 10 12 14
3 7 9 10 13 14
3 8 9 10 11 12
3 8 9 10 11 13
3 8 9 10 11 14
3 8 9 10 12 13
3 8 9 10 12 14
3 8 9 10 13 14
4 5 6 7 8 9
4 5 6 7 8 10
4 5 6 7 8 11
4 5 6 7 8 12
4 5 6 7 8 13
4 5 6 7 8 14
4 5 6 7 9 10
4 5 6 7 9 11
4 5 6 7 9 12
4 5 6 7 9 13
4 5 6 7 9 14
4 5 6 7 10 11
4 5 6 7 10 12
4 5 6 7 10 13
4 5 6 7 10 14
4 5 6 7 11 12
4 5 6 7 11 13
4 5 6 7 11 14
4 5 6 7 12 13
4 5 6 7 12 14
4 5 6 7 13 14
4 5 6 8 9 10
4 5 6 8 9 11
4 5 6 8 9 12
4 5 6 8 9 13
4 5 6 8 9 14
4 5 6 8 10 11
4 5 6 8 10 12
4 5 6 8 10 13
4 5 6 8 10 14
4 5 6 8 11 12
4 5 6 8 11 13
4 5 6 8 11 14
4 5 6 8 12 13
4 5 6 8 12 14
4 5 6 8 13 14
4 5 6 9 10 11
4 5 6 9 10 12
4 5 6 9 10 13
4 5 6 9 10 14
4 5 6 9 11 12
4 5 6 9 11 13
4 5 6 9 11 14
4 5 6 9 12 13
4 5 6 9 12 14
4 5 6 9 13 14
4 5 6 10 11 12
4 5 6 10 11 13
4 5 6 10 11 14
4 5 6 10 12 13
4 5 6 10 12 14
4 5 6 10 13 14
4 5 7 8 9 10
4 5 7 8 9 11
4 5 7 8 9 12
4 5 7 8 9 13
4 5 7 8 9 14
4 5 7 8 10 11
4 5 7 8 10 12
4 5 7 8 10 13
4 5 7 8 10 14
4 5 7 8 11 12
4 5 7 8 11 13
4 5 7 8 11 14
4 5 7 8 12 13
4 5 7 8 12 14
4 5 7 8 13 14
4 5 7 9 10 11
4 5 7 9 10 12
4 5 7 9 10 13
4 5 7 9 10 14
4 5 7 9 11 12
4 5 7 9 11 13
4 5 7 9 11 14
4 5 7 9 12 13
4 5 7 9 12 14
4 5 7 9 13 14
4 5 7 10 11 12
4 5 7 10 11 13
4 5 7 10 11 14
4 5 7 10 12 13
4 5 7 10 12 14
4 5 7 10 13 14
4 5 8 9 10 11
4 5 8 9 10 12
4 5 8 9 10 13
4 5 8 9 10 14
4 5 8 9 11 12
4 5 8 9 11 13
4 5 8 9 11 14
4 5 8 9 12 13
4 5 8 9 12 14
4 5 8 9 13 14
4 5 8 10 11 12
4 5 8 10 11 13
4 5 8 10 11 14
4 5 8 10 12 13
4 5 8 10 12 14
4 5 8 10 13 14
4 5 9 10 11 12
4 5 9 10 11 13
4 5 9 10 11 14
4 5 9 10 12 13
4 5 9 10 12 14
4 5 9 10 13 14
4 6 7 8 9 10
4 6 7 8 9 11
4 6 7 8 9 12
4 6 7 8 9 13
4 6 7 8 9 14
4 6 7 8 10 11
4 6 7 8 10 12
4 6 7 8 10 13
4 6 7 8 10 14
4 6 7 8 11 12
4 6 7 8 11 13
4 6 7 8 11 14
4 6 7 8 12 13
4 6 7 8 12 14
4 6 7 8 13 14
4 6 7 9 10 11
4 6 7 9 10 12
4 6 7 9 10 13
4 6 7 9 10 14
4 6 7 9 11 12
4 6 7 9 11 13
4 6 7 9 11 14
4 6 7 9 12 13
4 6 7 9 12 14
4 6 7 9 13 14
4 6 7 10 11 12
4 6 7 10 11 13
4 6 7 10 11 14
4 6 7 10 12 13
4 6 7 10 12 14
4 6 7 10 13 14
4 6 8 9 10 11
4 6 8 9 10 12
4 6 8 9 10 13
4 6 8 9 10 14
4 6 8 9 11 12
4 6 8 9 11 13
4 6 8 9 11 14
4 6 8 9 12 13
4 6 8 9 12 14
4 6 8 9 13 14
4 6 8 10 11 12
4 6 8 10 11 13
4 6 8 10 11 14
4 6 8 10 12 13
4 6 8 10 12 14
4 6 8 10 13 14
4 6 9 10 11 12
4 6 9 10 11 13
4 6 9 10 11 14
4 6 9 10 12 13
4 6 9 10 12 14
4 6 9 10 13 14
4 7 8 9 10 11
4 7 8 9 10 12
4 7 8 9 10 13
4 7 8 9 10 14
4 7 8 9 11 12
4 7 8 9 11 13
4 7 8 9 11 14
4 7 8 9 12 13
4 7 8 9 12 14
4 7 8 9 13 14
4 7 8 10 11 12
4 7 8 10 11 13
4 7 8 10 11 14
4 7 8 10 12 13
4 7 8 10 12 14
4 7 8 10 13 14
4 7 9 10 11 12
4 7 9 10 11 13
4 7 9 10 11 14
4 7 9 10 12 13
4 7 9 10 12 14
4 7 9 10 13 14
4 8 9 10 11 12
4 8 9 10 11 13
4 8 9 10 11 14
4 8 9 10 12 13
4 8 9 10 12 14
4 8 9 10 13 14
5 6 7 8 9 10
5 6 7 8 9 11
5 6 7 8 9 12
5 6 7 8 9 13
5 6 7 8 9 14
5 6 7 8 10 11
5 6 7 8 10 12
5 6 7 8 10 13
5 6 7 8 10 14
5 6 7 8 11 12
5 6 7 8 11 13
5 6 7 8 11 14
5 6 7 8 12 13
5 6 7 8 12 14
5 6 7 8 13 14
5 6 7 9 10 11
5 6 7 9 10 12
5 6 7 9 10 13
5 6 7 9 10 14
5 6 7 9 11 12
5 6 7 9 11 13
5 6 7 9 11 14
5 6 7 9 12 13
5 6 7 9 12 14
5 6 7 9 13 14
5 6 7 10 11 12
5 6 7 10 11 13
5 6 7 10 11 14
5 6 7 10 12 13
5 6 7 10 12 14
5 6 7 10 13 14
5 6 8 9 10 11
5 6 8 9 10 12
5 6 8 9 10 13
5 6 8 9 10 14
5 6 8 9 11 12
5 6 8 9 11 13
5 6 8 9 11 14
5 6 8 9 12 13
5 6 8 9 12 14
5 6 8 9 13 14
5 6 8 10 11 12
5 6 8 10 11 13
5 6 8 10 11 14
5 6 8 10 12 13
5 6 8 10 12 14
5 6 8 10 13 14
5 6 9 10 11 12
5 6 9 10 11 13
5 6 9 10 11 14
5 6 9 10 12 13
5 6 9 10 12 14
5 6 9 10 13 14
5 7 8 9 10 11
5 7 8 9 10 12
5 7 8 9 10 13
5 7 8 9 10 14
5 7 8 9 11 12
5 7 8 9 11 13
5 7 8 9 11 14
5 7 8 9 12 13
5 7 8 9 12 14
5 7 8 9 13 14
5 7 8 10 11 12
5 7 8 10 11 13
5 7 8 10 11 14
5 7 8 10 12 13
5 7 8 10 12 14
5 7 8 10 13 14
5 7 9 10 11 12
5 7 9 10 11 13
5 7 9 10 11 14
5 7 9 10 12 13
5 7 9 10 12 14
5 7 9 10 13 14
5 8 9 10 11 12
5 8 9 10 11 13
5 8 9 10 11 14
5 8 9 10 12 13
5 8 9 10 12 14
5 8 9 10 13 14
6 7 8 9 10 11
6 7 8 9 10 12
6 7 8 9 10 13
6 7 8 9 10 14
6 7 8 9 11 12
6 7 8 9 11 13
6 7 8 9 11 14
6 7 8 9 12 13
6 7 8 9 12 14
6 7 8 9 13 14
6 7 8 10 11 12
6 7 8 10 11 13
6 7 8 10 11 14
6 7 8 10 12 13
6 7 8 10 12 14
6 7 8 10 13 14
6 7 9 10 11 12
6 7 9 10 11 13
6 7 9 10 11 14
6 7 9 10 12 13
6 7 9 10 12 14
6 7 9 10 13 14
6 8 9 10 11 12
6 8 9 10 11 13
6 8 9 10 11 14
6 8 9 10 12 13
6 8 9 10 12 14
6 8 9 10 13 14
7 8 9 10 11 12
7 8 9 10 11 13
7 8 9 10 11 14
7 8 9 10 12 13
7 8 9 10 12 14
7 8 9 10 13 14




On Tuesday, April 8, 2014 4:15:37 PM UTC-7, Colin Fairbrother wrote:
> "... while 80 random tickets (on the same 14 numbers) guarantee nothing!"
>
>
>
> That statement is incorrect as in 80 random selections of 6 from a Pool of 14 there is a guarantee after the draw that with three numbers in the winning six that are also in the Pool of 14, a win is obtained.
>
>
>
> To continue to argue that the statement is true is indicative of your devious, deceitful and lying ways.
>
>
>
> You've been caught out again and you know it!
>

>

lot...@telus.net

unread,
Apr 12, 2014, 5:00:39 PM4/12/14
to
On Saturday, April 12, 2014 12:07:20 PM UTC-7, lot...@telus.net wrote:
>
> Here is a selection of not 80, not 100, not 500 not even a 1000, but 2478 combinations, none of which gives a 3-win or higher under the mentioned draw. Think of it as of system with not 80 but 2478 combinations that still guarantees nothing under the draw 9 10 11 12 13 14. Now choose any 80 of these (as randomly as you like) and you get a selection, with all combinations distinct and with as much representation of all numbers 1-14 as you like that does not give any 3-win or higher. (A hint: you can have any of the numbers 11-14 represented 20 times in this selection.)

OK, make that 40 instead of 20 (80comb x two positions = 160; 160/4=40)

Colin Fairbrother

unread,
Apr 12, 2014, 9:42:01 PM4/12/14
to
Let's examine the statement by Dr Iliya Bluskov from his 1997 thesis once again: -

"However, if any 4 of the numbers drawn are among the 14 numbers
chosen by the syndicate, then the 80 tickets of a (14,6,4)covering
guarantee at least one 4-win while 80 random tickets (on the same 14
numbers) guarantee nothing!"

Key phrases are: -

"... 14 numbers chosen by the syndicate,..."

"... 80 random tickets (on the same 14 numbers) guarantee nothing!"

The statement is incorrect.

Any reader can easily generate 80 random tickets on 14 numbers at these two reputable locations -

http://www.randomizer.org/form.htm
or
http://graphpad.com/quickcalcs/randomN1.cfm

After generating randomly any set of 80 lines on 14 numbers then for the 3003 possibilities of choosing 6 from 14 any reader will find if there is 3 or more of the 14 numbers chosen in any of the 3003 possibilities, then there will be a match of 3 or more with the 80 randomly generated lines.

The real world guarantees for a hypothetical 6/14 Lotto game are here -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Bluskov's claim of nothing is refuted by a match-3 win alone; if 4 is seen in the six number draw then a match-4 prize is obtained. A Cover or Wheel for a match-3 win in a 6/14 hypothetical Lotto game is only 4 lines ie C(14,6,3,6)=4. For Random Selections from 3003 possibilities this is easily achieved in 8 to 13 lines or so.

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

Getting a match using Wheels or Covers is a critical stay for the reason Bluskov justifies using Wheels or Covers ie knowing the numbers used if the player sees three or more in the draw then they know they have won a prize in a 6/49 Lotto game. To achieve the same result a player doesn't have to worry about Wheels or Covers the can use the Random Number Generator sites given above and simply specify the number range. Paste the lines into Covermaster and then from the menu click Configure and then Own Numbers. See -
Manually Constructing a Best Lotto Wheel or Cover
http://www.colinfairbrother.com/ConstructingBestLottoCoversOrWheels.aspx

Dr Iliya Bluskov in his booklet, The Ultimate Book on Lotto Systems, states under the heading Guarantees, that in comparison to a C(10,6,4,4)=20 -

"However, if any 4 of the numbers drawn are among the 10
numbers chosen by you, then the 20 tickets of the lottery
system guarantee at least one 4-win, while 20 random tickets
(on the same 10 numbers) guarantee nothing!"

The truth says otherwise.

Dr Iliya Bluskov is now exposed by me to be making fraudulent statements to sell his books. Within Australia I can bring it to the attention of ASIC (Australian Securities and Investments Commission).

Colin Fairbrother

lot...@telus.net

unread,
Apr 13, 2014, 3:08:54 AM4/13/14
to
On Saturday, April 12, 2014 6:42:01 PM UTC-7, Colin Fairbrother wrote:

You keep repeating that there are random selections of 80 combinations that give 3-wins or higher. This in no way contradicts the statement in my thesis. Just because there are such selections, this does not make the statement "Every random selection of 80 combinations gives at least one 3-win" true, just like it does not make the statement in my thesis wrong. Then why you repeat it so vehemently? Well, because you have to say SOMETHING, I guess. Just the insults are not enough for the public, right?

You asked me to produce ONE selection of 80 combinations that does not guarantee a 3-win or higher; I produced

129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820

such selections, and I explained how one can find way more. Then you "challenged" me to find one that has all of the 14 numbers in it. Well, a good part of the humongous number of selections above actually has this property, so that was done too. Of course, you failed to notice and comment on this modest confirmation that my statement is a bit far from being wrong; all you can do is to pour your favorite selection of insults. You know what that means, right? It means I am done with you. When all you can say is insults rather than addressing any of my arguments, it means you are done as well. Recall, I have not put you into this situation; you dragged yourself right into it by shouting my name again... I have addressed all of your "challenges" so far, and you have failed to address/confirm all of my proofs of you being wrong, so we are about even, right? Time to depart.

>
> Dr Iliya Bluskov is now exposed by me to be making fraudulent statements to sell his books. Within Australia I can bring it to the attention of ASIC (Australian Securities and Investments Commission).
>
>

Oh, please do so; they will politely explain to you that you do not know what you are talking about, but then they will become fraudsters, liars and a devious, deceitful little con-artists... I would not mind; I am a bit tired of filling for what is missing in your life.

>
> Colin Fairbrother

Nick UK

unread,
Apr 13, 2014, 3:20:05 AM4/13/14
to

RGLs Champion Driveller Colin (the Fuhrer) Fairbrother, drivelled..

<snip the shit>

> Any reader can easily generate 80 random tickets on 14 numbers
> at these two reputable locations -

http://www.randomizer.org/form.htm
or
http://graphpad.com/quickcalcs/randomN1.cfm

Hmmmm: you're quick to advise Iliya Blastoff and others where to generate
random combinations!

Yet, in the 'Wheel v Random' challenge which you hijacked from me, you
picked 56 ACTUAL RESULTS in the UK Lottery. Why not tell
readers/subscribers here why did you not go to either of those two
'randomiser' sites to generate 56 random combinations, rather than using 56
past UK results for your 56 combinations?

<snip yet more shit> thus saving readers from yet another dose of FFF
(Further Fuhrer Fatigue)

> I repeat the game's up Dr Iliya Bluskov - you are a fraudster,
> a liar and a devious, deceitful little con-artist.

Pot-kettle-black?

Precisely! The game's up Fuhrer - you are a fraudster, a liar and a devious,
deceitful little con-artist.

> To achieve the same result a player doesn't have to worry about
> Wheels or Covers the can use the Random Number Generator
> sites given above and simply specify the number range.

Yep, you keep advising others to use a random generator, yet sneakily avoid
using them yourself!

> Paste the lines

<snip the remaining shit>

> The truth says otherwise.

Truth!! You wouldn't recognise truth if it introduced itself to you and gave
you a good hard kick in the bollocks!

> Dr Iliya Bluskov is now exposed by me to be making fraudulent
> statements to sell his books. Within Australia I can bring it to
> the attention of ASIC (Australian Securities and Investments
> Commission).
>
> Colin Fairbrother

Fraudulent statements! ASIC!!
Bw..ahahahahahahahahahaha!!

Big fkn deal!! So you're a GRASS as well as a devious, cunning liar!

Again..

Colin Fairbrother

unread,
Apr 13, 2014, 5:27:25 AM4/13/14
to
One fact that readers will have observed is whether disingenuously or not Dr Iliya Bluskov has a woeful ignorance of Lotto Random Tickets. Whether it be for the hypothetical 6/10 or 6/14 or the real 6/49 a calculation of coverage for whatever Random Selection lines shows a remarkable consistency. In the case of a 6/10 it is for 20 Random Selection lines, 3if6 31% +/- 1. In the case of 6/49 it is for 80 Random Selection lines, 3if6 78% + or - 1

There is no confusion or doubt about what a Lotto Random Ticket or selection is. For the numbers to be picked from (Pool) and the numbers to form a Ticket, Line or Selection each number must have equal opportunity to be picked. Contrived sets such as Bluskov has come up with are a joke and that makes him a joke, Professor or not.

I have embedded the Randomizer.org Random Number Generator with instructions in the web page -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

The other RNG I gave doesn't give the option of making the numbers in each line unique.

The challenge for Iliya Bluskov is to produce Lotto Tickets that fit the meaning of that term not his weazel like concoctions and contrivances. Readers can test the Randomizer.org RNG to their hearts content and they won't find one set that backs up Bluskov's pathetic, snivelling drivellings.

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

Colin Fairbrother


Nick UK

unread,
Apr 13, 2014, 6:50:08 AM4/13/14
to

RGLs Champion driveller, Colin (the Fuhrer) Fairbrother drivelled..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.

And drivelled..

> One fact that readers will have observed is whether disingenuously
> or not Dr Iliya Bluskov has a woeful ignorance of Lotto Random Tickets.
>
> Colin Fairbrother

And another fact that readers will have observed, in the 'Wheel v Random'
challenge which you hijacked from me, is that you selected 56 ACTUAL RESULTS
in the UK Lottery and you continue to claim that the 56 coms you used in
that challenge, are 'random'!

Another fact that readers will have observed is that you are a two-faced,
ignorant, false-accusing, lying bag of shit.


lot...@telus.net

unread,
Apr 13, 2014, 12:54:09 PM4/13/14
to
On Sunday, April 13, 2014 2:27:25 AM UTC-7, Colin Fairbrother wrote:

You live in a strange universe, where the laws are twisted every moment according to your needs. You also have a pathological need to abuse people; the higher the status of the abused the more gradiouse you feel, right?
Each one of the 6-sets out of the 13983816 possible ones IS AN EXAMPLE of a RANDOM 6-set. Is the 6-set 1 2 3 4 5 6 random enough for you? (You claimed that at your pages, do not try to twist it now!) What if you have to define a random selection of two 6-sets. Is
1 2 3 4 5 6
1 2 3 4 5 6
one of these C(C(49,6),2)=C(13983816,2) possible selections. Is it an example of a random selection of two 6-sets? Answer Mr. Farbrother; do not hide behind your repeated insults! Is any of the


129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820


selections of 80 combinations that I presented to you an example of a RANDOM selection of 80 combinations (which also has the additional property that all combinations are distinct (to optimize the hit of a Jackpot))? Answer: Yes or No! According to the universal definition of random? Not according to any of your "random with all kind of CF conditions attached" definition, which changes any time I submit something new to your attention...

A narcissist can NEVER admit he has any fault, NEVER! They will rather die. It is part of who they are. You are so typical, it hurts....

I just hope you do not manage to poison too many minds with your pseudo-science; I mean most people read and understand logic; but there will be few below your level that will be mislead into your mumbo-jumbo, too sad that you possess exceptional aggressiveness in promoting yourself... For those who read this tread, they see a good sample here of what they could find at lotoposter and other Colin Farbrother sites, get some education elsewhere, CF is the worse choice in the universe!


>
> There is no confusion or doubt about what a Lotto Random Ticket or selection is.

Not at all, except in one place: the inside of Mr. Fairbrother's head.


>
>
> The challenge for Iliya Bluskov is to produce Lotto Tickets that fit the meaning of that term not his weazel like concoctions and contrivances.

I produced random selections to show that what you claim about my thesis statement is false. I did it according to the standard definition of a random selection (which is ANY od the possible selections) lying and twisting like you always do to make a point. I do not really have any other business here.

One last time: I am a professional mathematician; all of my publications are peer reviewed and every statement is checked for correctness (a peer is someone who supposedly know more than I do about the subject, and that means way more than you do; an example of peer is any person on my thesis committee). You can of course keep claiming that the world is wrong and you are right; this is typical for people who are obsessed with the idea of their own greatness.
Good luck,
Iliya Bluskov




nigel

unread,
Apr 13, 2014, 2:39:24 PM4/13/14
to
lot...@telus.net wrote:

> One last time: I am a professional mathematician; all of my
> publications are peer reviewed and every statement is checked for
> correctness

Perhaps it's different for maths, but in many fields the peer review
process is broken, perhaps irreparably. For example, researchers have
found that in up to 90% of published, peer-reviewed medical studies, the
conclusions of the authors are not supported by the underlying data.

> (a peer is someone who supposedly know more than I do
> about the subject,

No, a peer is an equal.

> and that means way more than you do; an example of
> peer is any person on my thesis committee). You can of course keep
> claiming that the world is wrong and you are right; this is typical
> for people who are obsessed with the idea of their own greatness.
> Good luck, Iliya Bluskov

Evil Nigel

Message has been deleted

Colin Fairbrother

unread,
Apr 13, 2014, 7:24:31 PM4/13/14
to
It is easy to disprove the assertion by Dr Iliya Bluskov that Random Selections or tickets for a Pick 6 Lotto game with either a Pool of 10 or 20 do NOT guarantee a win within respectively 20 or 80 lines as in his 1997 thesis and his Lotto booklets. In his thesis he wrote,

"However, if any 4 of the numbers drawn are among the 10
numbers chosen by you, then the 20 tickets of the lottery
system guarantee at least one 4-win, while 20 random tickets
(on the same 10 numbers) guarantee nothing!"

Let's introduce the term Confidence Level or Interval which is explained well enough at -
10 Things to know about Confidence Intervals
https://www.measuringusability.com/blog/ci-10things.php
The opening line is, "You don't need a PhD in statistics to understand and use confidence intervals."

By my reckoning done over many, many samples using a bit of code the Confidence Level is 100% in proving Dr Iliya Bluskov's assertion is wrong.

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

The Randomizer.org Random Number Generator with instructions is at the web page -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Let's work through a few examples firstly for Pool 14, Pick 6 where all we need to prove Dr Iliya Bluskov wrong is a 3if6 Cover in 80 lines or less from genuine Random Selections of 6 from 14, where each integer has equal opportunity to be picked from the 3003 possibilities.

------------------ Covered
01 05 07 09 11 12 1589
01 03 04 07 09 10 2274
02 03 04 10 11 14 2731
01 03 05 08 12 13 2936
01 05 08 09 11 13 2964
02 06 08 09 10 11 2990
02 03 04 07 09 12 2996
01 08 09 10 11 12 2996
01 02 05 08 09 13 2998
01 02 05 06 07 12 3002
02 03 08 09 11 12 3002
05 09 11 12 13 14 3002
02 03 05 06 07 13 3003
BINGO!

02 03 08 09 11 12 1589
05 09 11 12 13 14 2274
02 03 05 06 07 13 2732
02 03 06 09 10 12 2830
03 05 07 09 12 14 2871
03 04 06 08 09 13 2938
01 02 05 06 08 09 2964
01 03 04 05 10 11 2999
02 04 05 06 07 09 3000
01 04 05 08 09 13 3002
05 06 08 10 11 13 3003
BINGO!

02 04 05 08 09 12 1589
01 04 05 06 08 10 2274
01 02 05 06 07 11 2668
02 05 07 12 13 14 2871
01 02 07 08 09 12 2907
02 05 07 08 09 11 2931
01 03 05 09 11 13 2989
01 02 05 07 08 10 2989
01 02 03 05 09 12 2991
01 03 04 06 07 13 2997
01 02 04 05 11 14 2999
03 04 07 09 11 14 3003
BINGO!

For Pool 10, Pick 6 where all we need to prove Dr Iliya Bluskov wrong is a 3if6 Cover in 20 lines or less from genuine Random Selections of 6 from 10, where each integer has equal opportunity to be picked from the 210 possibilities.

----------------- Coverage
01 02 03 04 09 10 195
01 04 05 06 07 10 210
BINGO!

04 05 06 07 08 09 195
02 03 06 07 08 10 210
BINGO!

01 05 07 08 09 10 195
02 04 05 07 08 09 209
01 02 03 05 06 10 210
BINGO!

03 05 06 08 09 10 195
03 06 07 08 09 10 205
03 04 05 08 09 10 209
01 03 04 05 08 10 210
BINGO!

01 04 05 07 08 09 195
02 03 04 05 06 09 210
BINGO!

02 03 04 06 07 08 195
02 05 06 07 09 10 210
BINGO!

03 05 07 08 09 10 195
02 04 05 06 07 08 210
BINGO!

Colin Fairbrother

lot...@telus.net

unread,
Apr 13, 2014, 11:22:08 PM4/13/14
to
I agree with the correction; the definition of "peer" is "equal"; I was mostly referring to the situation when my thesis was evaluated be people who (at that time) had broader experience in publishing, reviewing and research in the area.

The definition of peer review at

http://en.wiktionary.org/wiki/peer_review

says: The reviewing before publication, by an authority or authorities in the pertinent field of study. Authority somehow implies equal or broader/deeper knowledge.

And, yes, in mathematics things are different; it is precise science, so incorrect results rarely go through, although there is the occasional exception, where both the author and the referee(s) did sloppy job. However, because of the nature in research in mathematics (dependence on previous results), such errors do not last long; these are caught by either the original author(s), or by other authors who try to develop the results/theory further.
Iliya Bluskov

>
> Evil Nigel

nigel

unread,
Apr 14, 2014, 9:53:12 AM4/14/14
to
A suggestion I've seen several times, to combat the 'broken' peer-review
process, is that a significant proportion of the peer reviewers should
be from other fields, in order to derail the 'buddy' system which has
led to so many sub-standard papers in some areas.
Message has been deleted

Colin Fairbrother

unread,
Apr 14, 2014, 10:07:05 PM4/14/14
to
Dr Iliya Bluscov on the 13th April 2014 gave in this thread 2478 combinations of 6 integers from 14, see
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/o2dCggFh3sgJ

For the draw 09 10 11 12 13 14 Bluskov maintains there are no matches of 4 or more in the 2478 combinations. That statement is incorrect - there are 896 match-3's and 168 match-4's.

For the other 1414 combinations Professor Iliya Bluskov conveniently has forgotten his own stipulation that the numbers chosen must be seen to be in the draw. None of those 1414 combinations have a Comb3 or Comb4 in the draw.

Let's remind Dr Iliya Bluskov, once again of the relevant paragraph from his 1997 thesis, repeated in kind umpteen times in his corny Lotto booklets -

"However, if any 4 of the numbers drawn are among
the 14 numbers chosen by the syndicate, then the
80 tickets of a (14,6,4) covering guarantee at
least one 4-win while 80 random tickets (on the
same 14 numbers) guarantee nothing!"

This property to look at a draw and if 3 or more numbers are recognised to be among the numbers chosen for the Cover or Wheel to know a prize has been won is a cornerstone of Bluskov's Lotto method raison d'etre.

I have shown a GUARANTEE is obtained after the draw if 3 or more of the numbers used to produce the specified lines in the 4if4 Cover are in the draw and are produced by Random Selections of 6 numbers from the numbers used, for the same number of lines.

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a liar and a devious, deceitful little con-artist.

The Randomizer.org Random Number Generator with instructions is at the web page -
Professor Iliya Bluskov makes outrageous Random Selection claims for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Colin Fairbrother

lot...@telus.net

unread,
Apr 15, 2014, 6:55:20 PM4/15/14
to
On Monday, April 14, 2014 7:07:05 PM UTC-7, Colin Fairbrother wrote:
> Dr Iliya Bluscov on the 13th April 2014 gave in this thread 2478 combinations of 6 integers from 14, see
>
> https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/o2dCggFh3sgJ
>
>
>
> For the draw 09 10 11 12 13 14 Bluskov maintains there are no matches of 4 or more in the 2478 combinations. That statement is incorrect - there are 896 match-3's and 168 match-4's.

You are correct; the draw should be 11 12 13 14 15 16, or any other draw that has the 4 numbers 11 12 13 14 and then larger. Recall that the statement we discuss is "If any 4 of the drawn numbers are within the 14" not "if all 6"; I am not talking about 4 if 6 guarantee; the guarantee discussed is 4 if 4. If these 4 numbers, 11 12 13 14 are within the first 14, then neither of the 2478 combinations listed has any 3-win or higher, so my statement is still correct. Now any selection of 80 among these 2478, that is any of the C(2478,80)=129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820

selections of 80 distinct combinations is one of the all possible C(C(14,6),80)=C(3003,80) such selections among these 14 numbers, and therefore can be the result of a random choice. Nothing really changed in terms of the huge number of selections of 80 that do not guarantee ANYTHING.


>
>
>
> For the other 1414 combinations Professor Iliya Bluskov conveniently has forgotten his own stipulation that the numbers chosen must be seen to be in the draw. None of those 1414 combinations have a Comb3 or Comb4 in the draw.

No, I do not have such stipulations, and therefore I have not conveniently forgotten anything! Stop the gaslighting! The stipulation is that 4 of the numbers drawn are within the selected 14, just like in my example with numbers 1-14 and 11 12 13 14 in the draw.

>
> Let's remind Dr Iliya Bluskov, once again of the relevant paragraph from his 1997 thesis, repeated in kind umpteen times
>
> "However, if any 4 of the numbers drawn are among
>
> the 14 numbers chosen by the syndicate, then the
>
> 80 tickets of a (14,6,4) covering guarantee at
>
> least one 4-win while 80 random tickets (on the
>
> same 14 numbers) guarantee nothing!"
>

It is absolutely true statement, no matter how many times repeated and how many times attacked by madmen like CF. The only way to persuade me or the public that this statement is false is to find a mathematician who will confirm that. The believes of an ignorant bad mouthed fellow are not considered a proof in our world; I am sorry to bring this to your attention once again...

Colin Fairbrother

unread,
Apr 16, 2014, 4:48:59 AM4/16/14
to
Dr Iliya Bluskov you have circled back to the first post in this
thread.

A 3if6 win is not NOTHING!
A 3if5 win is not NOTHING!
A 3if4 win is not NOTHING!
A 4if6 win is not NOTHING!

Where do you stipulate or even imply that to be other than
nothing the wins must be 4if4?
Answer: Nowhere.

Nick UK

unread,
Apr 16, 2014, 6:32:09 AM4/16/14
to

Recalling what RGLs Champion driveller Colin (the Fuhrer) Fairbrother said
about RGL subscribers..

> The rubbish posters in this group (RGL) are deluding themselves when they
> think that recent traffic is looking at their drivellings.
>
> Colin Fairbrother

He continued with his RGL drivellings, when he drivelled..

> I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a liar and
> a devious, deceitful little con-artist.

> Colin Fairbrother

Well! If Fuhrer Fairbrother can continue repeating his drivellings and his
accusations against a fellow subscriber in this forum, then why not anyone
else here? So..

> I repeat the game's up Fuhrer Fairbrother - you are a fraudster, a liar
> and a devious, deceitful little con-artist.

Oh! And a FALSE-ACCUSING FUCKWIT! (drivel-drivel)

http://trollsville.bravesites.com/

Message has been deleted

lot...@telus.net

unread,
Apr 16, 2014, 12:44:25 PM4/16/14
to
On Wednesday, April 16, 2014 1:48:59 AM UTC-7, Colin Fairbrother wrote:
> Dr Iliya Bluskov you have circled back to the first post in this
>
> thread.
>
>
>
> A 3if6 win is not NOTHING!
>
> A 3if5 win is not NOTHING!
>
> A 3if4 win is not NOTHING!
>
> A 4if6 win is not NOTHING!
>
>
>
> Where do you stipulate or even imply that to be other than
>
> nothing the wins must be 4if4?
>
> Answer: Nowhere.
>


Are you really that retarded or there is a hope some dead brain cells will become alive again? Are you that absolutely unable to admit the truth once?

Nowhere? What are we talking about? Well, about this statement:

However, if any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then the 80 tickets of a (14,6,4)
covering guarantee at least one 4-win while 80 random
tickets (on the same 14 numbers) guarantee nothing!

Did you ever see the part "if any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then..."

Do you know the meaning of the word "guarantee"? It means something which is guaranteed should always happen. The event is a draw that contains only 4 of these 14 numbers, not 5 or 6; say, the numbers 11 12 13 14 27 36 are drawn. Run this draw against the 2478 combinations on 1-14 I provided and entertain us with the winnings: Zero 3-wins, zero 4-wins, zero 5-wins, zero 6-wins! What else? This is grade 2 level reasoning. Are you lower than that? The 80 combinations of a 4 if 4 system guarantee at least one 4-win. 80 random combinations GUARANTEE NOTHING! Just because SOME SELECTIONS of 80 GIVE something, it does not mean that 80 random combinations ALWAYS GUARANTEE this something or anything else. There are selections that guarantee NOTHING: I gave you an example of 129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820
such selections of 80 (distinct) combinations on 1-14 that guarantee absolutely nothing, not even a 3-win (and there are many many more if repetition is allowed, which is perfectly allowed in a RANDOM selection). Still not enough?

lot...@telus.net

unread,
Apr 16, 2014, 1:35:30 PM4/16/14
to
On Wednesday, April 16, 2014 1:48:59 AM UTC-7, Colin Fairbrother wrote:
> Dr Iliya Bluskov you have circled back to the first post in this
>
> thread.
>
>
>
> A 3if6 win is not NOTHING!
>
> A 3if5 win is not NOTHING!
>
> A 3if4 win is not NOTHING!
>
> A 4if6 win is not NOTHING!
>
>
>
> Where do you stipulate or even imply that to be other than
>
> nothing the wins must be 4if4?
>
> Answer: Nowhere.
>


Are you really that retarded, or there is still hope some brain cells will get alive? What are we talking about? This statement:

If any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then the 80 tickets of a (14,6,4)
covering guarantee at least one 4-win while 80 random
tickets (on the same 14 numbers) guarantee nothing!

Did you ever notice this part: "If any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then..."

Do you even know what guarantee means? Something which is guaranteed is supposed to always happen if the condition is met, and that is exactly how a system work: Let us say the system is on the numbers 1-14 and 4 of these numbers are drawn, say the draw is 11 12 13 14 23 37. Then a 4 if 4 system in 80 combinations on 1-14 guarantees at least one 4-win. A random selection of 80 combinations on the numbers 1-14 guarantees nothing! Just because SOME random selections produce some wins, it does not mean that ALL such random selection guarantee something; even in the cases where the random selections give something, it is extremely unlikely to duplicate the performance of the system, that is to give a 4 if 4 win. But the point is that there many random selections of 80 combinations that guarantee ABSOLUTELY NOTHING, not even a 3-win. I gave you C(2478,80)=129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820
such selection of 80 (different) combinations, each of which produces nothing, not even a 3-win. Not enough to make my statement correct? (I also explained there are many many more if repetition is taken into account; selections with some repeated combinations are as possible as any other, and therefore as random as any other). I mean this is grade two level reasoning; are you lower than that? Run this draw, 11 12 13 14 23 37, against all of the 2478 combinations on 1-14 I listed previously and entertain us with the winnings, please? (Hint: zero 3-wins, zero 4-wins, zero 5-wins, zero 6-wins! Bingo!) Now take any 80 of these 2478. Is that a random selection of 80? YES or NO? Does not matter - still good enough for the respected Mr. Fairbrother to dump his favorite set of insults, and link to his self-praising, self-promoting, and self-inflating megalomania pages. Poor man, no peace for his soul...

Colin Fairbrother

unread,
Apr 16, 2014, 5:36:41 PM4/16/14
to
Dr Iliya Bluskov is getting more agitated of late with three
consecutive messages deleted in Google Groups, the last of the
three deleted being reproduced below. He knows he's cornered and
there is no way out other than to admit he was wrong and that
this statement was a stupid mistake,

"If any 4 of the numbers drawn
are among the 14 numbers chosen by the syndicate,
then the 80 tickets of a (14,6,4) covering
guarantee at least one 4-win
while 80 random tickets
(on the same 14 numbers)
guarantee nothing!"

If the last part of the sentence had stated: -
while 80 random tickets (on the same 14 numbers) do not guarantee
that for any 4 of the numbers drawn there will be at least one
4-win - then fair enough. A C(14,6,4,4)=80 is not come by easily
let alone by Random Selections - try building it in Covermaster!

The overwhelming point is that Bluskov's sentence does not state
that. It states: -
"... while 80 random tickets
(on the same 14 numbers)
guarantee nothing!"

You can test to your heart's content using the Randomizer.org
Random Number Generator with instructions at my web page -
Professor Iliya Bluskov makes outrageous Random Selection claims
for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

Doing so you will find that 80 Random Selections from 14 numbers,
where for each selection each of the 14 numbers has equal
opportunity to be picked, that far from nothing 3if6, 3if5, 3if4
and 4if6 win guarantees are obtained.

The point must be made again that 80 Random Selections from 14
numbers, when the context is a 6/49 Lotto game, is a ruse that
backfired on Dr Iliya Bluskov. The more appropriate comparison is
80 Random Selections on 49. Using the first UK Lotto 800 draws
you will find that the C(14,6,4,4)=80 Cover gives 1001 of the
211,876 possible combinations for 4if4, whereas 80 Random
Selections of 6 from 49 give consistently better results of
around 100 more: -
1 to 80 1198
81 to 160 1197
161 to 240 1198
241 to 320 1198
321 to 400 1195
401 to 480 1200
481 to 560 1198
561 to 640 1198
641 to 720 1196
721 to 800 1196

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a
liar and a devious, deceitful little con-artist.

Colin Fairbrother


<lot...@telus.net> wrote in message
news:844561f6-5dd1-4c93...@googlegroups.com...

lot...@telus.net

unread,
Apr 16, 2014, 3:33:32 PM4/16/14
to
On Wednesday, April 16, 2014 1:48:59 AM UTC-7, Colin Fairbrother wrote:
> Dr Iliya Bluskov you have circled back to the first post in this
>
> thread.
>
>
>
> A 3if6 win is not NOTHING!
>
> A 3if5 win is not NOTHING!
>
> A 3if4 win is not NOTHING!
>
> A 4if6 win is not NOTHING!
>
>
>
> Where do you stipulate or even imply that to be other than
>
> nothing the wins must be 4if4?
>
> Answer: Nowhere.
>

Are you really that retarded or there is still hope some death brain cells will get alive? What are we talking about? We are talking about this statement of mine:

If any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then the 80 tickets of a (14,6,4)
covering guarantee at least one 4-win while 80 random
tickets (on the same 14 numbers) guarantee nothing!

Have you ever noticed the part: "If any 4 of
the numbers drawn are among the 14 numbers chosen by
the syndicate, then..."?

What does it say? Only 4 numbers drawn and the system guarantees a 4-win. In my example of 2478 combinations on the numbers 1-14 I asked you to check one such draw, say 11 12 13 14 27 39 against not 80 but all of the 2478 said combinations and entertain us with the "winnings". Hint: There will be ZERO 3-wins, ZERO 4-wins, ZERO 5-wins, and ZERO 6-wins. Certainly if there is no single 3-win or higher in these 2478 combinations, there will be no single 3-win or higher in ANY selection of 80 of those either. TRUE or FALSE? There are C(2478,80)=129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820
of these with all 80 combinations different, and way many more with some repeated combinations (which are among the POSSIBLE selections, and therefore as random as any other selection).

Just because SOME selections of 80 combinations produce some wins (not necessarily a 4 if 4; that will be extremely rare; only if one "randomly" choose the system) it does not mean ANY other random selection produces the same or other wins! There is no GUARANTEE that a random selection will give ANY win! There is a huge number of selections that produce nothing, not even a 3-win, and that is exactly what my statement was about. So is it true or false, Mr. Mega? Can you tolerate a second of discomfort and twist your tongue and say it? Does this make my statement correct? Can you admit the truth once? I mean, this is grade two level reasoning; are you lower than that?

Do you even understand what the word guarantee means? If something is guaranteed, it always happens. In my statement I claim that if 4 of the numbers drawn are within the selection of 14, then the system guarantees at least a 4-win (not just "something", by the way); I think everybody here knows that. Then I say, a random selection of 80 combinations on the same numbers, 1-14, does not guarantee anything. A random selection is any selection of 80 combinations out of the available C(14,6)=3003, with or without repetition. I just presented you a huge number of such selections that guarantee nothing, not even a 3-win. Does this make my statement correct or not? Basically, any selection of 80 out of approximately 2478/3003=82.5% of all combinations has this property: No 3-win or higher. Good enough for the world, arrrgh, with one single exception...

Anyway, your attempts to prove something are truly pathetic, that is why you keep repeating insults; quite a sad existence Mr. Fairbrother, no peace for your troubled soul...

Colin Fairbrother

unread,
Apr 16, 2014, 10:35:24 PM4/16/14
to
With the benefit of hindsight there is no doubt Dr Iliya Bluskov would like to rephrase this sentence from his 1997 thesis, but that is not possible: -

"If any 4 of the numbers drawn are among the 14 numbers chosen by the syndicate,
then the 80 tickets of a (14,6,4) covering guarantee at least one 4-win
while 80 random tickets (on the same 14 numbers) guarantee nothing!"

The context is a 6/49 Lotto game.

For the C(14,6,4,4)=80 Cover only some 3 million of the 14 million possibilities will give a prize if drawn and the same applies to the Random Ticket Selections from 14. However, Random Ticket Selections from 49 give some 11 million or 78% from the 14 million possibilities that will give a prize, if drawn

Bluskov is espousing the properties of a 4if4 covering on 14 numbers, which is that all the 1001 combinations of 4 integers from the Pool of 14 numbers are covered. You don't need five or six of the numbers in the draw to be in the 14 numbers.

A TICKET is six numbers NOT FOUR.

Bluskov would have us believe that for the "80 random tickets (on the same 14 numbers" he is only referring to four of the six numbers. Pull the other one Bluskov. All the posturing, bombastic effrontery and bluff will not change the fact that you are talking about TICKETS in a PICK 6 LOTTO game, which consist of SIX numbers NOT FOUR.

I have shown that 80 RANDOM TICKETS (ON THE SAME 14 NUMBERS) DO GUARANTEE SOMETHING -
in a sample of 80 lines generated using the Merzenne Twister algorithm available from my first post in this thread - see
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/dyqWTXDf_Y4J

a 3if6 win is obtained very comfortably in 11 lines and that is all that is needed to disprove Iliya Bluskov's assertion of "nothing".
Also,
a 3if5 win is obtained in 25 lines,
a 3if4 win is obtained in 39 lines
and a 4if6 is obtained in 58 lines.

Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.

A good information source and resource is a site I have referred to many times -
John Walker's Fourmilab
http://www.fourmilab.ch/

You can test to your heart's content using the Randomizer.org
Random Number Generator with instructions at my web page -
Professor Iliya Bluskov makes outrageous Random Selection claims
for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a
liar and a devious, deceitful little con-artist.

Colin Fairbrother

lot...@telus.net

unread,
Apr 17, 2014, 1:38:58 AM4/17/14
to
Just because SOME random selections of 80 combinations produce wins, it does not mean that EVERY such random selection produces wins; I gave examples of VERY VERY MANY random selections that do not produce any 3-win or higher, did not I?

At this point it should be absolutely clear that you do not understand
1) the meaning of the word "guarantee"
2) the meaning of "random selection"
3) the meaning of "true statement"
4) the meaning of "proof"

One of these items should be enough reason for me to consider this discussion a waste of time; one can only explain something to a sane person; insanity should be dealt by other people at other places...

>

lot...@telus.net

unread,
Apr 17, 2014, 2:23:06 AM4/17/14
to
On Wednesday, April 16, 2014 7:35:24 PM UTC-7, Colin Fairbrother wrote:
> With the benefit of hindsight there is no doubt Dr Iliya Bluskov would like to rephrase this sentence from his 1997 thesis, but that is not possible: -
>
>
>
> "If any 4 of the numbers drawn are among the 14 numbers chosen by the syndicate,
>
> then the 80 tickets of a (14,6,4) covering guarantee at least one 4-win
>
> while 80 random tickets (on the same 14 numbers) guarantee nothing!"
>
>

Hmm, really? And why would I want to rephrase this sentence? It is a perfectly true and clear sentence.

>
> The context is a 6/49 Lotto game.
>
>
>
> For the C(14,6,4,4)=80 Cover only some 3 million of the 14 million possibilities will give a prize if drawn and the same applies to the Random Ticket Selections from 14. However, Random Ticket Selections from 49 give some 11 million or 78% from the 14 million possibilities that will give a prize, if drawn
>
>
>
> Bluskov is espousing the properties of a 4if4 covering on 14 numbers, which is that all the 1001 combinations of 4 integers from the Pool of 14 numbers are covered. You don't need five or six of the numbers in the draw to be in the 14 numbers.
>
>
>
> A TICKET is six numbers NOT FOUR.

Heh, did not know that; thank you for clarifying it for me... But how is this related to the fact that my statement is perfectly true? Does your bold faced statement prove anything about my statement being false by any chance? Those 2478 combinations that I listed, such that none produced a 3-win or higher; did they by any chance had 4 numbers in them or 6? YES, NO? Please answer one of my easiest questions at least!

>
>
>
> Bluskov would have us believe that for the "80 random tickets (on the same 14 numbers" he is only referring to four of the six numbers. Pull the other one Bluskov.

Not really. Did Bluskov really wanted us to believe so? I kind of fail to notice that he wanted us to believe so...

All the posturing, bombastic effrontery and bluff will not change the fact that you are talking about TICKETS in a PICK 6 LOTTO game, which consist of SIX numbers NOT FOUR.

No it will not. Honest to God, I do not want to change that! Why would I? I do talk, seriously, only about tickets that contain six numbers each! Very rarely would I slip a word about those 4-numbered tickets and about those 5-numbered ones...

>
>
>
> I have shown that 80 RANDOM TICKETS (ON THE SAME 14 NUMBERS) DO GUARANTEE SOMETHING -

"DO GUARANTEE" is a bit of an overstatement; more correct would be to say:

80 RANDOM TICKETS (ON THE SAME 14 NUMBERS) DO GIVE SOMETHING SOMETIMES.

That would be a TRUE statement, but it would not not disprove the statement in my thesis, unfortunately..,; nothing will; to remind you the sad news.


> Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.
>
>

Baloney! There is no such thing as a "Genuine" Random Selection. All possible selections ARE RANDOM SELECTIONS. Also, there is no such thing as: This selection looks "more random" than that one. Got it?

What a pathetic and desperate man you are; it is not even funny; you do not even know how to stop exposing your ignorance; you do not have the necessary mechanism...

Colin Fairbrother

unread,
Apr 17, 2014, 4:47:17 AM4/17/14
to
Fudge as much as you want Dr Iliya Bluskov but just as Omar Khayyam wrote, -
The Moving Finger writes; and, having writ,
 Moves on: nor all thy Piety nor Wit,
Shall lure it back to cancel half a Line,
 Nor all thy Tears wash out a Word of it.

Not much in the way of wit or truth from you. Your statement stands, confirmed by you as not needing any better clarity so,

"... while 80 random tickets (on the same 14 numbers) guarantee nothing!"

- is disproved by a simple 3if6 Cover on the 14 numbers built by Random Selections.

The current record without using Random Selections is C(14,6,3,6)=4; that is not a very high bar considering we have 80 lines to get the Cover using Random Selections.

Any amateur coder can set up an RNG and after each line test for coverage. The code for testing for coverage is in this newsgroup. Rarely more than 11 Random Selections are needed. The maximum number of lines needed can be stored for reference and say, 10 million trials run. If the maximum is 15 then this is well within the 80 lines maximum.

Another bulk way of testing is paste say, 10,000 random selections into Covermaster and use Find to highlight the match-3 wins. If the maximum lines between wins is only 11 when scrolling this also is well within the 80 lines maximum.

Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.

You can test to your heart's content using the Randomizer.org
Random Number Generator with instructions at my web page -
Professor Iliya Bluskov makes outrageous Random Selection claims
for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a
liar and a devious, deceitful little con-artist.

Contrary to what you write I am quite relaxed as I know I am right. I continue to both amused and bemused by your antics and the weird belief that other mathematicians would support your ridiculous claims.


Colin Fairbrother


lot...@telus.net

unread,
Apr 18, 2014, 12:46:37 PM4/18/14
to
On Thursday, April 17, 2014 1:47:17 AM UTC-7, Colin Fairbrother wrote:


Colin Fairbrother, you are absolutely ignorant and/or devious creature, you see what you want to see; it is ONLY in your head, and you know it. There is no single supporter here of "the points" you present, yet, with a quiet obsession, you post the same nonsense spiced with your favorite insults again and again and again. Good luck Sir. Ignorance wins. No cure for madness. It had won many times in the history of mankind, one more time is in order; humanity got into all kind of troubles, because of "believers" like you; I thought we live in a better world now, but you are the living proof we are not. People like you wanted to burn Galileo, because they believed the Earth is flat. People who believed they are right killed millions and still do here and there. Why should I be upset about a messed up fellow who is obsessed with destroying, what, something? So I give up; I am sorry, I have a life to attend to that matters more than proving obvious truths to an obvious deviant. So from this point, I have no choice but to go along with madness; I am supporting whatever Mr. Fairbrother claims; Yes, he is Napoleon; moreover, I am endorsing it: Please follow the new Definitionist, follow the God of Lotto Logic, follow the Wizard of Random, follow the Great Promoter of the Most Trivial Approach Ever (well, already invented by the lotteries), the Most Creative and Unusual Strategy of Playing Genuine Random Combinations for significant profit and enjoyment; read through it and soak into it; never look back; you will not regret a second. (But if it does not work as expected, well, blame your own silliness, which must have exceeded the one of the record holder here, a difficult task by itself, a truly enviable achievement, a feat close to impossible, given the unique stature of Mister Lotto Dictator here and everywhere in the world.)

And if you still, by any chance, want a good book on lotto systems/wheels, need some order in the chaos of random, then just drop by the Home of the Good Wheel at

http://www3.telus.net/lotbook/

Enough said.

On Thursday, April 17, 2014 1:47:17 AM UTC-7, Colin Fairbrother wrote:
> Fudge as much as you want Dr Iliya Bluskov but just as Omar Khayyam wrote, -
>
> The Moving Finger writes; and, having writ,
>
>  Moves on: nor all thy Piety nor Wit,
>
> Shall lure it back to cancel half a Line,
>
>  Nor all thy Tears wash out a Word of it.
>
>
>
> Not much in the way of wit or truth from you. Your statement stands, confirmed by you as not needing any better clarity so,
>
>
>
> "... while 80 random tickets (on the same 14 numbers) guarantee nothing!"
>
>
>
> - is disproved by a simple 3if6 Cover on the 14 numbers built by Random Selections.

And so is by a 4 if 4 cover in 80 combinations... How does this contradict to my statement?

"3if6 Cover on the 14 numbers built by Random Selections" - priceless! That is the method used in all of your "proofs". But if I build a cover on 2478 combinations that gives no 3-win or higher, that is not good enough to prove a statement correct, a nice double standard, do not you think?


>
>
>
> The current record without using Random Selections is C(14,6,3,6)=4; that is not a very high bar considering we have 80 lines to get the Cover using Random Selections.
>
>
>
> Any amateur coder can set up an RNG and after each line test for coverage. The code for testing for coverage is in this newsgroup. Rarely more than 11 Random Selections are needed. The maximum number of lines needed can be stored for reference and say, 10 million trials run. If the maximum is 15 then this is well within the 80 lines maximum.
>
>
>
> Another bulk way of testing is paste say, 10,000 random selections into Covermaster and use Find to highlight the match-3 wins. If the maximum lines between wins is only 11 when scrolling this also is well within the 80 lines maximum.
>
>
>
> Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.

Yes, Bluskov did come up with googols of these. Fairbrother was challenged to answer simple "Yes or No" and "True or False" questions and this challenge defeated him; he avoided those like the plague. Reason: Ahem, exposing himself as being wrong? He does not like that... In fact, admitting it will be close to killing him; this perfect image in the mirror tarnished? Nah, he would rather pour 50 more lines of nonsense again; this Bluskov nightmare might go away... Never ask a narc to admit they are wrong; if they try, you will be observing something like in Jim Carrey's movie "Liar, liar".

Colin Fairbrother

unread,
Apr 18, 2014, 3:44:12 PM4/18/14
to
There is no way that Dr Iliya Bluskov can contort these simple statements from his 1997 thesis into saying something that they do not -

"Suppose a player or a group of players (called a syndicate) wants to play a
6/49 (or any 6/n for n >= 14) lottery) by choosing only tickets with 6-sets
from a particular size 14 subset of the n-set."

"If any 4 of the numbers drawn are among the 14 numbers chosen by the syndicate,
then the 80 tickets of a (14,6,4) covering guarantee at least one 4-win
while 80 random tickets (on the same 14 numbers) guarantee nothing!"

The numbers drawn are the 13,983,816 possibilities of a 6/49 Lotto game.

Both the random tickets and the C(14,6,4,4)=80 Cover tickets are restricted to a Pool of 14 integers from the 49 available.

The example I gave of 80 genuine Random Selections from 14 integers in the first post of this thread -
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/dyqWTXDf_Y4J
gives a 3if6 Cover for the 14 integers chosen in the first 11 lines.

For this Random Selection example there are 3,024,868 or 21.63121% CombSixes of the 13,983,816 draw possibilities that will IF DRAWN give a match-3 prize. These 3,024,868 CombSixes correspond to the 80 genuine Random Selections being a 3if6 Cover for the 14 selected numbers in just the first 11 lines. This is all that is necessary to disprove the claim by Iliya Bluskov of there being no guarantee after the draw. If 3 of the 14 numbers chosen are in the draw then they are covered.

Further, for the 80 genuine Random Selections from 14 integers with each integer having equal opportunity to be picked for each selection -
a 3if5 Cover is obtained in the first 25 lines -
a 3if4 Cover is obtained in the first 39 lines -
and a 4if6 Cover is obtained in the first 58 lines.

Plenty of leeway for a few extra lines to get the 3if6 guarantee - for this example another 69 lines.

It is Bluskov that wierdly writes about a "certain guarantee" after the draw.
If playing 80 lines in a 6/49 Lotto game I would play a Partial Cover that I knew before the draw has a 3if6 coverage of 89% +/- 1.

Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.

You can test to your heart's content using the Randomizer.org
Random Number Generator with instructions at my web page -
Professor Iliya Bluskov makes outrageous Random Selection claims
for Lotto.
http://lottoposter.com/forum_posts.asp?TID=743&PN=1

I repeat the game's up Dr Iliya Bluskov - you are a fraudster, a
liar and a devious, deceitful little con-artist.

Colin Fairbrother

lot...@telus.net

unread,
Apr 18, 2014, 9:45:43 PM4/18/14
to
On Friday, April 18, 2014 12:44:12 PM UTC-7, Colin Fairbrother wrote:
> There is no way that Dr Iliya Bluskov can contort these simple statements from his 1997 thesis into saying something that they do not -
>
>
>
> "Suppose a player or a group of players (called a syndicate) wants to play a
>
> 6/49 (or any 6/n for n >= 14) lottery) by choosing only tickets with 6-sets
>
> from a particular size 14 subset of the n-set."
>
>
>
> "If any 4 of the numbers drawn are among the 14 numbers chosen by the syndicate,
>
> then the 80 tickets of a (14,6,4) covering guarantee at least one 4-win
>
> while 80 random tickets (on the same 14 numbers) guarantee nothing!"
>
>

OK, you do not argue that the 80 combinations of a 4 if 4 system guarantee a 4-win if 4 of the numbers drawn are among the 14 numbers chosen. You try to argue about the second part of the statement, which reads: 80 random tickets (on the same 14 numbers) guarantee nothing.

This statement is true if there is JUST ONE SELECTION of 80 that does not guarantee a 3-win or higher. I demonstrated that there are at least C(2478,80)=129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820 SUCH SELECTIONS, each of which does not guarantee anything, not even a 3-win. Does this make the statement correct or not? Simple YES or NO answer?

If we count those selection with repetition, the number will be around two lines longer...

Can you help us characterize you better in the light of this discussion? Circle the most pertinent answers:

1) I am a complete idiot
2) I cannot admit I am wrong, I would rather die
3) I do not understand the meaning of the word "guarantee"
4) I do not understand the meaning of "random selection"
5) I do not understand the meaning of "true statement"
6) I do not understand the meaning of "proof"
7) I do not know how to answer YES or NO question
8) I do not know how to answer TRUE or FALSE question
9) I do not know what I am talking about
10) All of the above



Colin Fairbrother

unread,
Apr 19, 2014, 2:10:08 AM4/19/14
to
My first post in this thread gives an 80 line sample of genuine Random Selections from 14 numbers see -
https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/dyqWTXDf_Y4J

For the draw 11 12 13 14 15 16 there is -
1 match-4 11 12 13 14
16 match-3's 11 12 13, 11 12 14, 11 13 14, 12 13 14

lot...@telus.net

unread,
Apr 19, 2014, 5:43:58 AM4/19/14
to
On Friday, April 18, 2014 11:10:08 PM UTC-7, Colin Fairbrother wrote:
> My first post in this thread gives an 80 line sample of genuine Random Selections from 14 numbers see -
>
> https://groups.google.com/d/msg/rec.gambling.lottery/BwMY0fYH88M/dyqWTXDf_Y4J
>
>
>
> For the draw 11 12 13 14 15 16 there is -
>
> 1 match-4 11 12 13 14
>
> 16 match-3's 11 12 13, 11 12 14, 11 13 14, 12 13 14
>
>
>
>
>
> Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.
>
>

Random
More Random
Extremely Random
Even More Extremely Random
Truly Random
Genuinely Random
Truly Genuinely Random

Define please? Or explain when is Random not Random. I do not really know how to ask a question that you could answer; I mean, Yes or No too complicated for you. Apparently none of my 129877847281057777121150531409798736850001659857536783558305857749068459041563933731967156722954327591396485353860208809921811826043219891653399786814820 selections of 80 which do not produce any 3-win IS GENUINELY RANDOM. Why? Because they all meet the condition of no 3-win or higher? On the other hand, every selection of 80 which DOES PRODUCE a 3-win or higher IS GENUINELY RANDOM. Hmm, how could a selection that meets additional condition (at least one 3-win) could be random? Aha, just use the well-known to Master Deceiver CF technique called "double standard"...

Anyway, a narc is best dealt with by ignoring him (just spoke to my friend, The Psychiatrist). Give him the cold shoulder, the silent treatment, and he will be flat on the ground, talking to himself... The lack of attention kills the beast. Try that for a change; ignore! He will not be going away without a fight; he will try some more provocations, a dozen or so posts more, I would guess, but he will not thrive; he will just go trolling elsewhere.

Colin Fairbrother

unread,
Apr 19, 2014, 7:35:54 AM4/19/14
to
Lotto draws can be trusted as Random Selections. Unfortunately, there is no 6/14 Lotto game.

The RNG given by me in the first post of this thread seems OK to me. Just follow the link below.

Bluskov has been challenged to come up with a genuine Random Selection of 80 Lotto Pick 6 TICKETS from 14 integers, where for each Pick all 14 numbers have equal opportunity to be picked and does not give a match-3 or a match-4. He knows that for any 80 lines he comes up with it will be tested for randomness.

nigel

unread,
Apr 21, 2014, 9:51:23 AM4/21/14
to
The thread has now stumbled upon another much-debated philosphical issue.

Say a coin is tossed ten times and comes up heads each time.

One side says that past history doesn't matter, the odds of heads on the
next toss are 50/50.

The other side says that there is evidence the coin is not random and is
likely to come up heads again.

It's somewhat ironic that Colin is arguing that past history matters in
this instance, as he is normally against taking past history into account.

:)

Evil Nigel

Nick UK

unread,
Apr 21, 2014, 2:04:53 PM4/21/14
to
Evil Nigel wrote..

<with snips>

> The thread has now stumbled upon another much-debated philosphical issue.
>
> One side says that past history doesn't matter, the odds of heads on the
> next toss are 50/50.
>
> It's somewhat ironic that Colin is arguing that past history matters in
> this instance, as he is normally against taking past history into account.
>
> Evil Nigel
.........................................................................

Hmmmmmm: well, apart from the 'philosophical' bit, I think you're spot-on
there, Niggle.

Noted from his many boring articles on 'previous lotto history' and
recalling what RGLs Champion Driveller, Colin (the Fuhrer) Fairbrother,
drivelled..

> The notion that previous history is a guide to future drawings is pure
> occultist and numerology rubbish as pointed out in many articles I
> have written which are <snip>
>
> Colin Fairbrother

And drivelled..

> history is utter bunkum and is really the stuff of numerology with
> their penchant for errant ersatz science, mathematics and statistics.
>
> Colin Fairbrother

And drivelled..

> The reality is at every drawing everything is new and each integer has
> the same likelihood of being picked as any other integer.
>
> Colin Fairbrother

And drivelled..

> It means no matter what the dubious claim when using Lotto history
> I have the wherewithal to shoot it down in flames. There is nothing to
> be gained over random selections using history
>
> Colin Fairbrother

> For ordinary Lotto - history is irrelevant
> no beneficial relationship exists in using history.
>
Colin Fairbrother

> each number has an equal chance of being drawn, regardless of how
> frequently it has been drawn previously.
>
> Colin Fairbrother

And the worm turned with regard to what he calls my my 'pathetic' Pick-9
56-com wheel which won the 'Wheel vs Random Selections' challenge, the
Fuhrer changed his tune and drivelled..

> ..Obviously, his 9 integer choice was based on appearance in previous
> draws which he thought would not be noticed - thick you see.
>
> Colin Fairbrother

And the Fuhrer, who constantly refers to himself as a 'Lotto expert'.. also
drivelled..

> The subject has been exhaustively studied by myself using sophisticated
> programming techniques and modeling involving many hundreds of hours to
> the point where I am not being pretentious by saying I am an expert in
> this area.
>
> Colin Fairbrother.

Expert?? The word must have a new meaning! FFS!!

And this this *gaping-gaff* when the 'expert' Fuhrer informed us that..

> the number of possible combinations of 9 integers from 49 is a whopping
> TWO TRILLION ie 2,054,455,634
>
> Colin Fairbrother

Nah! Wrong, Mr Expert! The digits.. 2,054,455,634 do *not* read
TWO TRILLION! Would someone here please tell the 'mathematical expert'
Fuhrer Fairbrother, what the digits.. 2,054,455,634 correctly read, or
amount to.

More on this later.

Nick UK

nigel

unread,
Apr 22, 2014, 7:21:49 AM4/22/14
to
Nick UK wrote:
> Evil Nigel wrote..
>
> <with snips>
>
>> The thread has now stumbled upon another much-debated philosphical issue.
>>
>> One side says that past history doesn't matter, the odds of heads on
>> the next toss are 50/50.
>>
>> It's somewhat ironic that Colin is arguing that past history matters
>> in this instance, as he is normally against taking past history into
>> account.
>>
>> Evil Nigel
>
> .........................................................................
>
> Hmmmmmm: well, apart from the 'philosophical' bit, I think you're spot-on
> there, Niggle.
>

Not that I'm not guilty of the same offence :(

My 5/50 trial is based on past history, but I've also argued that any
truly random combination generator should be capable of generating the
same combination 80 times in succession.

Evil Nigel

Nan

unread,
Oct 4, 2014, 1:46:42 PM10/4/14
to
在 2014年4月4日星期五UTC+8下午2时15分06秒,Colin Fairbrother写道:
> THE LOTTO FACTS THAT DR ILIYA BLUSKOV,
>
> PROFESSOR OF MATHEMATICS,
>
> UNIVERSITY NORTHERN BRITISH COLUMBIA,
>
> DIDN'T MENTION IN HIS 1997 THESIS
>
> by Colin Fairbrother
>
>
>
> Without a Doctorate in Mathematics and a Professorship at the
>
> University of Northern British Columbia, Canada, Iliya Bluskov
>
> could be taken to be a small village to the west of Varna, an
>
> eastern Black Sea coastal city in Bulgaria.
>
>
>
> In 1997 Dr Iliya Bluskov wrote his thesis titled "New Designs
>
> and Coverings", which can be downloaded or viewed at -
>
> http://www.collectionscanada.gc.ca/obj/s4/f2/dsk3/ftp04/nq24295.pdf
>
>
>
> In this article I restrict myself to his claims regarding Lotto,
>
> a Lottery game where the player is able to choose their own
>
> numbers and in particular the classic Pick 6, Pool 49 Lotto game
>
> (6/49) available in the UK, various states in the USA, Germany,
>
> Canada, South Africa etc.
>
>
>
> On page 8 and 9 of the thesis Bluskov gives an example of
>
> playing an 80 line Cover from a restricted set of numbers (Pool)
>
> of 14 rather than the 49 available in a 6/49 Lotto game. The
>
> Cover Bluskov uses guarantees in a hypothetical and non-existent
>
> 6/14 Lotto game that unequivocally a match-4 will be obtained,
>
> not only when all the 3003 combinations of 6 from 14 are
>
> considered or the 2002 combinations of 5 from 14 but also when
>
> the 1001 combinations of 4 from 14 are considered.
>
>
>
> What does this Cover, which can be described using the syntax
>
> C(14,6,4,4,1)=80 guarantee in a 6/49 Lotto game? The answer is a
>
> BIG FAT NOTHING! For the minimum guarantee in a 6/49 Lotto game
>
> a C(49,6,3,6)=163 is needed ie 163 lines - no ifs, no buts.
>
>
>
> However, according to Dr Iliya Bluskov it "will secure a certain
>
> guarantee".
>
>
>
> The next paragraph introduces the reader to the Iliya Bluskov
>
> art of devious, deceitful semantics and just outright lies. The
>
> paragraph is reproduced below; let's examine it phrase by phrase.
>
>
>
> "Naturally, one can ask: What is the advantage of
>
> playing for such a guaranteed win? If we compare
>
> playing with 80 random tickets against 80 tickets
>
> forming a (14,6,4) covering we see that the probability
>
> of a 6-win ("hitting the jackpot") is the same for
>
> each ticket; namely 14c6^-1)-'. However, if any 4 of
>
> the numbers drawn are among the 14 numbers chosen by
>
> the syndicate, then the 80 tickets of a (14,6,4)
>
> covering guarantee at least one 4-win while 80 random
>
> tickets (on the same 14 numbers) guarantee nothing!
>
> This property of the coverings is attractive to some
>
> lottery players and there are many books (see, for
>
> example, [32] or [46]) and computer software
>
> available describing coverings. In this application,
>
> the coverings are often referred to as wheels or
>
> lottery systems."
>
>
>
> The paragraph begs the question to any rational and mildly
>
> analytical reader, "Why random selections from only 14 numbers
>
> when the example is for a 6/49 Lotto game?". Also, "Where would
>
> a normal player go to get 80 random selection lines from a Pool
>
> of only 14?"
>
>
>
> Fortunately, I've made it easy and you will find 80 lines
>
> generated using the Merzenne Twister Algorithm at the bottom of
>
> this article.
>
>
>
> Now, knowing Iliya Bluskov and most of his tactics from the
>
> other article I started titled :-
>
>
>
> Professor Iliya Bluskov promotes deceitful claims for Lotto Covers or Wheels
>
> https://groups.google.com/forum/#!topic/rec.gambling.lottery/TVhINzsP0hI
>
> - the first accusation he will make is to accuse me of rigging
>
> the 80 random lines of 6 from 14. Well, here are two sites without
>
> nasty ads for more sets -
>
>
>
> http://graphpad.com/quickcalcs/randomN1.cfm
>
> or
>
> http://www.randomizer.org/form.htm
>
>
>
> Let's examine this very loud sentence,
>
> "However, if any 4 of the numbers drawn are among the
>
> 14 numbers chosen by the syndicate, then the 80
>
> tickets of a (14,6,4) covering guarantee at least one
>
> 4-win while 80 random tickets (on the same 14 numbers)
>
> guarantee nothing!"
>
>
>
> WRONG! WRONG! WRONG!
>
>
>
> You can test the 80 line random selection set of 6 from a Pool of
>
> 14 given below in CoverMaster and you will find the following
>
> guarantees for the Pool of 14 -
>
> 3if6 YES!
>
> 3if5 YES!
>
> 3if4 YES!
>
> 3if3 4 Uncovered
>
> 4if6 YES!
>
>
>
> So, you can look at the winning six and if you see 3 or 4 of the
>
> numbers that were used in the Pool of 14 you know you have won a
>
> prize. But is this a guarantee for the 6/49 game? Well, in
>
> Bluskov speak it is but in the real world it's just an
>
> observation after the fact - the fact being the draw.
>
>
>
> Bluskov maintains that any set of numbers played in Lotto is
>
> just as good as any other whether over the short or long term.
>
>
>
> This I am sure would be very unpalatable news to both his
>
> current booklet owners and those thinking about buying it. The
>
> one exception Bluskov makes is say 10 lines all repeated.
>
>
>
> According to Bluskov sets with 10 repeat CombFives, CombFours or
>
> CombThrees are in the short or long term just as good as any
>
> other set. He still maintains this position despite all the
>
> evidence to the contrary provided by myself.
>
>
>
> By taking this position Bluskov is also saying the Covers he
>
> promotes are no better than any other set. The dubious reason he
>
> gives for people wanting to use Covers or Wheels is that for
>
> favourite numbers after the draw they can quickly look at the
>
> result and if 3 or more are in their favourite numbers they know
>
> they have won a prize. My experience is that people like looking
>
> and in this day and age of on-line betting the Lotto operator
>
> site does the looking.
>
>
>
> Unlike Bluskov I maintain that restricting the Pool, repeating
>
> paying subsets and not keeping the coverage as high as possible
>
> for the Lotto game played will adversely affect the Percentage
>
> Return or Yield as in Winnings/Cost over the short term, say,
>
> 1,000 plays.
>
>
>
> The C(14,6,4,4)=80 Cover promoted by Iliya Bluskov when applied
>
> to the 6/49 Lotto game gives only a 3if6 Coverage of 22% as does
>
> the 80 line Random Selection from Pool 14. Contrast this with 80
>
> lines Random Selections from 49 as in the first 80 draws of the
>
> UK Lotto which gives 78% 3if6 Coverage or my Partial Cover for
>
> 80 lines giving 89% 3if6 Coverage. Which do you prefer - the 80
>
> line restricted Pool Cover that gives only 1 win in 5 draws or
>
> the 80 line Partial Cover that gives a win pretty well every
>
> draw?
>
>
>
> A comparison table is available here :-
>
> LOTTO WHEELS OR COVERS CON-ARTIST CLAIMS TOTALLY DEBUNKED IN TABLE
>
> http://www.colinfairbrother.com/UsingLesserPoolCoversInLotto.aspx
>
>
>
> The sad fact is an academic, a tenured Professor, with a Doctorate
>
> in Mathematics has thrown in his lot with publicists that are Lotto
>
> con-artist speilers. For the likes of the Wheelie Lady, Gail Howard,
>
> with her prediction and filtering wizardry (thoroughly debunked by
>
> me) it makes sense to use Covers or Wheels because she and her fans
>
> believe they have narrowed down the numbers that will appear in the
>
> next draw.
>
>
>
> My advice to his publicists is that there is only so much mileage to
>
> be gained from touting a PhD and a Professorship before incurring the
>
> wrath of the academic community and their fighting back. I'm not an
>
> academic but I'm doing my bit.
>
>
>
> Colin Fairbrother
>
>
>
> http://www.ColinFairbrother.com
>
> http://www.LottoPoster.com
>
> http://www.LottoToWin.com
>
>
>
>
>
>
>
> 80 Random Selections of 6 from 14 using numbers 1 to 14
>
> 01 03 07 10 11 13
>
> 01 02 04 06 07 13
>
> 02 07 11 12 13 14
>
> 02 08 09 10 11 13
>
> 01 03 09 10 11 14
>
> 01 02 03 05 11 14
>
> 03 05 06 11 12 13
>
> 02 03 05 10 11 13
>
> 01 06 07 09 11 12
>
> 01 07 08 09 11 13
>
> 04 05 07 08 10 14
>
> 01 03 05 06 07 12
>
> 01 05 10 12 13 14
>
> 01 06 07 08 09 12
>
> 03 04 07 10 11 14
>
> 01 04 05 11 12 14
>
> 05 06 08 10 11 14
>
> 01 03 06 10 11 12
>
> 01 04 09 10 12 14
>
> 02 04 05 07 11 14
>
> 02 05 06 07 09 14
>
> 01 02 06 07 09 11
>
> 03 06 08 09 11 13
>
> 01 05 10 11 12 13
>
> 03 04 05 08 10 11
>
> 01 02 05 07 08 09
>
> 03 04 05 09 10 13
>
> 04 05 07 11 12 13
>
> 02 03 05 10 12 14
>
> 04 05 07 08 09 10
>
> 05 08 09 11 12 13
>
> 05 06 07 10 11 13
>
> 03 08 10 11 13 14
>
> 03 07 08 10 11 12
>
> 02 05 07 12 13 14
>
> 05 06 08 11 13 14
>
> 03 04 05 06 10 14
>
> 03 07 08 09 10 14
>
> 02 04 05 08 10 13
>
> 01 02 03 04 08 13
>
> 01 06 08 10 11 14
>
> 01 04 06 10 11 12
>
> 01 04 05 09 11 14
>
> 03 05 07 10 12 13
>
> 01 05 09 10 12 13
>
> 01 04 06 07 10 14
>
> 01 04 07 08 12 13
>
> 02 04 09 10 13 14
>
> 03 04 08 10 12 14
>
> 03 05 07 09 12 13
>
> 03 04 05 10 11 13
>
> 01 02 03 05 08 13
>
> 01 03 06 08 09 11
>
> 01 07 08 09 10 13
>
> 02 05 06 08 10 13
>
> 01 02 04 08 11 12
>
> 03 04 06 08 13 14
>
> 03 04 06 08 09 13
>
> 03 04 05 07 09 11
>
> 01 06 07 08 10 14
>
> 01 03 04 06 07 13
>
> 04 05 10 11 13 14
>
> 05 07 08 09 11 14
>
> 04 05 07 09 12 13
>
> 02 03 04 05 10 14
>
> 05 07 08 10 12 14
>
> 01 05 07 08 11 13
>
> 05 07 08 11 13 14
>
> 02 03 04 09 12 14
>
> 02 05 07 12 13 14
>
> 02 08 09 10 11 14
>
> 01 02 03 05 06 08
>
> 01 03 05 09 13 14
>
> 02 03 09 10 11 12
>
> 02 03 05 06 10 14
>
> 01 04 08 09 12 13
>
> 02 04 08 09 10 12
>
> 01 02 03 08 10 12
>
> 02 04 06 07 10 14
>
> 01 02 06 08 10 11


When C(14,6,4,4),Those random lines would lose badly to a well constructed and filter predictions.,I achieve 250%-2000% prize ratio with 80 tickets.
Nan

Kim Hutcheson

unread,
Mar 8, 2021, 10:16:19 AM3/8/21
to
1) Avoid filters like the plague. They break wheels.
2) , I know about the Gamblers Fallacy" and how the lottery balls don't have memories etc, but have you done any basic pattern analysis on results to date? For example, in 56% of cases in a 40C6 lottery there will be at least one pair of consecutives. Is there a number that is so infrequently drawn it even raises the question of whether the GF is in fact a Fallacy. (It is: it uses Bayesian rather than frequentist probabilities!)
3) It is ONLY a full wheel that holds a real "guarantee of a prize" - abbreviated wheels and record-setting lower bound for an <N,m,k,t> lottery do have a guarantee, but be careful - the guarantee is then one of timing. If a reduced or abbreviated wheel comes with a 30% guarantee, that means you will win a k-prize 30% of the time.

王乾懿 Wang Qianyi (Nan)

unread,
Mar 9, 2021, 9:11:02 AM3/9/21
to
We all play small pool (8-12 numbers) full wheels now.
0 new messages