# This is the record-holding 168-ticket wheel taken from the page:
# http://www.connect.org.uk/lottery/Wheel/Wheel.html

# It was constructed by Uenal Mutlu, Munich, Germany 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 <rkl@csc.liv.ac.uk>
# using the command "verify wheel168.txt".

# Therefore, buying these 168 tickets will *guarantee* you a 10 pounds
# win on the UK National Lottery !

# Can *you* do any better ? I'm looking for any wheel less than 168 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 rkl@csc.liv.ac.uk to get your name
# up here !

# Roll of honour:

# Tickets      Name                E-mail
#   168        Uenal Mutlu         None (Munich, Germany)
#   174        Mat Newman          <mnewman@comlab.ox.ac.uk>
#              (and sci.math contributors)

# C(49,6,3,6,1,=168):
# -------------------
# #Id      v b k v1 0/0 t/m l x ...
# Id       49 168 6 49 0/0 3/6 1 2
# Base     1
# Date     November 3, 1995
# Author   U.Mutlu, Munich/Germany

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