Only 6 pairs of people never meet and everybody sees at least 30 of the 31 people. -- Paul Chamberlain, tif@tifster.com Best Configuration: ABCDEFGH IJKLMNOP QRSTUVWX YZabcdef ADJPRSZf BCILTVYe GHMNQUcd EFKOWXab AHKOTUVY BEFMPQXf GIJSWade CDLNRZbc AILMWZbd CEKQSUef DGOPTXYc BFHJNRVa BDMNSWYa CFJPTUbd EHLOQRZe AGIKVXcf BGLPUace AENOSVZd DFIKRTbf CHJMQWXY CGMORVaf FHISTXZc ANPQWYbe BDEJKLUd EINRUXYd DJOQVabc BCHKPWZf AFGLMSTe EJLNTWcf BGHKRSYb DFMUVXZe ACIOPQad Copyright 2006, Paul Chamberlain (tif@tifster.com) Who plays with who: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c d e f A . 1 2 2 2 2 3 2 3 1 2 2 2 2 3 3 2 1 3 2 1 3 2 1 2 3 1 2 1 3 2 2 B 1 . 3 3 3 3 3 4 1 2 3 3 2 2 0 3 1 2 2 1 2 2 2 1 3 1 3 1 1 1 2 2 C 2 3 . 2 2 2 2 3 2 2 2 2 2 1 2 3 3 2 1 2 2 2 2 1 2 2 2 2 1 2 2 3 D 2 3 2 . 2 3 2 1 1 3 2 2 2 2 2 2 1 3 2 2 2 2 1 2 2 3 2 3 3 1 1 2 E 2 3 2 2 . 3 1 2 1 2 3 3 1 3 3 1 3 2 2 1 3 1 2 3 1 2 1 1 1 3 2 3 F 2 3 2 3 3 . 2 3 2 2 2 1 3 1 1 2 1 2 2 4 2 2 1 4 0 2 2 3 1 1 2 2 G 3 3 2 2 1 2 . 3 2 1 2 2 3 1 2 2 1 2 3 2 2 2 1 2 2 0 3 1 4 2 3 2 H 2 4 3 1 2 3 3 . 1 2 3 1 2 2 2 1 3 3 2 2 2 2 2 2 3 3 1 1 2 1 1 1 I 3 1 2 1 1 2 2 1 . 2 3 3 2 2 2 2 1 2 2 3 1 2 2 3 2 2 2 2 2 4 2 2 J 1 2 2 3 2 2 1 2 2 . 2 3 2 3 2 3 2 2 2 2 2 2 3 1 1 1 3 2 2 3 1 2 K 2 3 2 2 3 2 2 3 3 2 . 2 1 1 3 2 1 2 2 2 3 2 2 2 2 1 1 3 1 1 1 4 L 2 3 2 2 3 1 2 1 3 3 2 . 3 3 2 2 1 2 1 3 2 1 2 0 1 3 1 2 3 2 4 1 M 2 2 2 2 1 3 3 2 2 2 1 3 . 3 2 2 3 1 2 1 2 2 3 3 2 2 2 1 1 2 2 2 N 2 2 1 2 3 1 1 2 2 3 1 3 3 . 2 2 2 3 2 1 2 2 3 1 3 2 2 2 3 3 1 1 O 3 0 2 2 3 1 2 2 2 2 3 2 2 2 . 3 3 2 1 2 1 4 1 2 2 2 4 2 2 2 1 1 P 3 3 3 2 1 2 2 1 2 3 2 2 2 2 3 . 3 1 1 2 2 0 2 2 2 2 2 2 2 2 2 3 Q 2 1 3 1 3 1 1 3 1 2 1 1 3 2 3 3 . 2 2 1 3 2 3 3 2 1 2 2 2 2 3 2 R 1 2 2 3 2 2 2 3 2 2 2 2 1 3 2 1 2 . 3 2 2 3 1 2 2 3 2 3 1 1 1 3 S 3 2 1 2 2 2 3 2 2 2 2 1 2 2 1 1 2 3 . 3 2 2 3 2 2 3 2 1 1 2 3 2 T 2 1 2 2 1 4 2 2 3 2 2 3 1 1 2 2 1 2 3 . 3 3 2 3 3 1 0 2 3 1 2 2 U 1 2 2 2 3 2 2 2 1 2 3 2 2 2 1 2 3 2 2 3 . 3 1 3 2 1 1 1 2 4 3 1 V 3 2 2 2 1 2 2 2 2 2 2 1 2 2 4 0 2 3 2 3 3 . 1 3 2 2 3 1 2 1 2 2 W 2 2 2 1 2 1 1 2 2 3 2 2 3 3 1 2 3 1 3 2 1 1 . 3 3 2 3 3 1 2 2 2 X 1 1 1 2 3 4 2 2 3 1 2 0 3 1 2 2 3 2 2 3 3 3 3 . 3 2 1 1 3 1 1 2 Y 2 3 2 2 1 0 2 3 2 1 2 1 2 3 2 2 2 2 2 3 2 2 3 3 . 1 2 3 2 2 3 1 Z 3 1 2 3 2 2 0 3 2 1 1 3 2 2 2 2 1 3 3 1 1 2 2 2 1 . 1 3 3 3 3 3 a 1 3 2 2 1 2 3 1 2 3 1 1 2 2 4 2 2 2 2 0 1 3 3 1 2 1 . 3 3 3 3 2 b 2 1 2 3 1 3 1 1 2 2 3 2 1 2 2 2 2 3 1 2 1 1 3 1 3 3 3 . 3 3 2 2 c 1 1 1 3 1 1 4 2 2 2 1 3 1 3 2 2 2 1 1 3 2 2 1 3 2 3 3 3 . 2 2 3 d 3 1 2 1 3 1 2 1 4 3 1 2 2 3 2 2 2 1 2 1 4 1 2 1 2 3 3 3 2 . 2 1 e 2 2 2 1 2 2 3 1 2 1 1 4 2 1 1 2 3 1 3 2 3 2 2 1 3 3 3 2 2 2 . 2 f 2 2 3 2 3 2 2 1 2 2 4 1 2 1 1 3 2 3 2 2 1 2 2 2 1 3 2 2 3 1 2 . Who is in which group: A B C D E F G H I J K L M N O P Q R S T U V W X Y Z a b c d e f Group 1: 4 3 2 3 3 1 3 2 2 2 1 3 3 3 2 2 0 3 2 2 3 2 3 1 3 2 3 1 2 2 1 3 Group 2: 1 3 3 1 3 3 1 2 3 3 3 2 2 2 3 3 3 1 4 3 2 3 0 2 2 2 1 3 2 2 2 2 Group 3: 1 1 1 3 1 2 3 3 2 1 2 1 2 2 2 3 4 3 2 3 3 2 4 3 2 3 1 2 2 2 4 2 Group 4: 3 2 3 2 2 3 2 2 2 3 3 3 2 2 2 1 2 2 1 1 1 2 2 3 2 2 4 3 3 3 2 2