# This is the record-holding 163-ticket wheel taken from the page:
# http://lottery.merseyworld.com/Wheel/Wheel.html

# It was constructed by Peter Rosendahl and
# later confirmed to guarantee at least a 3-match in a 6 from 49
# lottery by the "verify" program written by Richard K. Lloyd
# <webmaster@lottery.merseyworld.com> using the command "verify wheel163.txt".

# Therefore, buying these 163 tickets will *guarantee* you a 10 pounds
# win on the UK National Lottery !

# Tie-breaker rule:
# If two or more wheels equal the record (i.e. use the same number of tickets
# to guarantee a 3-match), the one that will be used will be the one that
# covers the most number of 3-match combinations (the verifier program
# outputs that figure so it can be confirmed). 

# Can *you* do any better ? I'm looking for any wheel less than 163 tickets
# that guarantees a 3-match in a 6 from 49 lottery. Use my verify program
# to confirm it's OK and then e-mail it to webmaster@lottery.merseyworld.com
# to get your name up here !

# Roll of honour:

# Tickets  Name                     Combs covered  E-mail
#   163    Peter Rosendahl          3,074 (16.7%)  <peter.rosendahl@gmail.com>
#   163    Manfred S.               3,072 (16.7%)  <Manfred-S1@gmx.net>
#   163    Mathias Liesener         3,044 (16.5%)  <MathiasLiesener@gmx.de>
#   163    Stefan Vandevelde        3,043 (16.5%)  <webmaster@lottotrix.com>
#   163    gARY                     3,040 (16.5%)  <webmaster@justservices.com>
#   163    gARY                     3,023 (16.4%)  <webmaster@justservices.com>
#   163    Dragan Stojiljkovic and
#          Rade Belic               3,007 (16.3%)  <rbelic@xs4all.nl>
#   164    Dragan Stojiljkovic and
#          Rade Belic               -              <rbelic@xs4all.nl>
#   165    Salvatore Minacapelli    -              <sminacapelli@hotmail.com>
#   167    Dragan Stojiljkovic and
#          Rade Belic               -              <rbelic@xs4all.nl>
#   168    Uenal Mutlu              -              None (Munich, Germany)
#   174    Mat Newman               -              <mnewman@comlab.ox.ac.uk>
#          (and sci.math contributors)

# Wheel below submitted on Thursday 4th June 2009

 1  6  7 17 23 46
 1  6  9 25 32 45
 1  6 11 13 22 38
 1  6 20 27 34 47
 1  6 33 36 40 49
 1  7  9 22 34 49
 1  7 11 32 36 47
 1  7 13 20 40 45
 1  7 25 27 33 38
 1  9 11 17 27 40
 1  9 13 23 33 47
 1  9 20 36 38 46
 1 11 20 23 25 49
 1 11 33 34 45 46
 1 13 17 25 34 36
 1 13 27 32 46 49
 1 17 20 22 32 33
 1 17 38 45 47 49
 1 22 23 27 36 45
 1 22 25 40 46 47
 1 23 32 34 38 40
 2  3  4 15 26 28
 2  3  8 15 16 37
 2  3 10 15 43 45
 2  3 15 21 24 30
 2  4  8 10 30 43
 2  5 14 31 44 48
 2  5 29 35 41 42
 2 10 16 21 26 43
 2 10 24 28 37 43
 2 12 14 18 29 31
 2 12 19 35 42 44
 2 14 19 31 39 41
 2 14 31 35 42 43
 2 18 35 39 42 48
 3  4 14 21 37 42
 3  4 16 24 35 42
 3  5 10 35 44 48
 3  5 12 15 31 39
 3  5 18 19 31 43
 3  8 14 24 26 42
 3  8 21 28 31 35
 3 10 12 18 29 35
 3 10 19 35 39 41
 3 12 31 41 43 48
 3 14 15 18 41 44
 3 14 16 28 30 42
 3 14 19 29 43 48
 3 14 26 30 31 37
 3 29 31 39 43 44
 4  5  8 16 44 48
 4  5  8 24 29 39
 4  5 12 19 30 37
 4  5 16 18 21 41
 4  8 12 24 41 44
 4  8 18 19 24 48
 4  8 19 37 39 41
 4 10 26 28 31 42
 4 12 16 21 39 48
 4 12 18 26 28 30
 4 14 15 16 24 31
 4 14 26 28 35 43
 4 15 21 31 35 37
 4 16 19 21 29 44
 4 18 30 37 39 44
 4 29 30 37 41 48
 5  8 12 19 21 26
 5  8 18 28 30 41
 5 10 12 14 39 43
 5 10 14 15 18 19
 5 12 16 19 24 28
 5 15 42 43 44 48
 5 16 26 29 30 39
 5 18 21 24 29 44
 5 18 24 26 37 41
 5 19 26 28 41 44
 5 21 28 29 37 39
 6  7  9 13 27 36
 6  7 11 25 34 40
 6  7 20 32 38 49
 6  7 22 33 45 47
 6  9 11 46 47 49
 6  9 17 33 34 38
 6  9 20 22 23 40
 6 11 17 20 36 45
 6 11 23 27 32 33
 6 13 17 32 40 47
 6 13 20 25 33 46
 6 13 23 34 45 49
 6 17 22 25 27 49
 6 22 32 34 36 46
 6 23 25 36 38 47
 6 27 38 40 45 46
 7  9 11 23 38 45
 7  9 17 20 25 47
 7  9 32 33 40 46
 7 11 13 17 33 49
 7 11 20 22 27 46
 7 13 22 23 25 32
 7 13 34 38 46 47
 7 17 22 36 38 40
 7 17 27 32 34 45
 7 20 23 33 34 36
 7 23 27 40 47 49
 7 25 36 45 46 49
 8 10 16 31 37 42
 8 12 16 29 30 37
 8 12 28 30 39 48
 8 14 15 21 28 42
 8 14 16 35 37 43
 8 15 24 26 31 35
 8 18 21 26 39 44
 8 19 28 29 30 44
 8 21 26 29 41 48
 9 11 13 20 32 34
 9 11 22 25 33 36
 9 13 17 22 45 46
 9 13 25 38 40 49
 9 17 23 32 36 49
 9 20 27 33 45 49
 9 22 27 32 38 47
 9 23 25 27 34 46
 9 34 36 40 45 47
10 12 14 15 41 48
10 14 15 29 39 44
10 15 19 29 31 48
10 18 31 41 43 44
10 21 24 30 31 42
11 13 23 36 40 46
11 13 25 27 45 47
11 17 22 23 34 47
11 17 25 32 38 46
11 20 33 38 40 47
11 22 32 40 45 49
11 27 34 36 38 49
12 15 18 29 42 43
12 16 26 30 41 44
12 18 19 29 39 48
12 21 28 37 41 44
12 24 26 37 39 48
13 17 20 23 27 38
13 20 22 36 47 49
13 22 27 33 34 40
13 32 33 36 38 45
14 21 24 30 35 43
15 16 28 30 31 35
15 19 39 41 42 43
15 26 30 35 37 42
16 18 19 26 30 48
16 18 24 28 39 44
16 21 24 26 28 37
16 24 28 29 41 48
17 20 34 40 46 49
17 23 25 33 40 45
17 27 33 36 46 47
18 19 21 28 37 48
19 24 26 29 37 44
20 22 25 34 38 45
20 23 32 45 46 47
20 25 27 32 36 40
21 24 30 39 41 48
22 23 33 38 46 49
25 32 33 34 47 49