bonanova Posted April 2, 2009 Report Share Posted April 2, 2009 Twenty friends, call them A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, decide to play bridge in foursomes for 5 days. To add to the fun, none of the players will have the same partner, nor play against any other player, more than once during the week. Can you provide the schedule of foursomes [NEWS] that will accomplish their wishes? Mon | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | Tue | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | Wed | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | Thu | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | Fri | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 Reveal hidden contents Mon | A B C D | E F G H | I J K L | M N O P | Q R S T | Tue | A F K P | E J O T | I N S D | M R C H | Q B G K | Wed | A J S H | E N C L | I R G P | M B K T | Q F O D | Thu | A N G T | E R K D | I B O H | M F S L | Q J C P | Fri | A R O L | E B S P | I F C T | M J G D | Q N K H | I didn't check it through, but I think it works Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 Reveal hidden contents Mon | A B C D | E F G H | I J K L | M N O P | Q R S T | Tue | E I M Q | A J N R | B F O S | C G K T | D H L P | Wed | F J N R | A I M Q | B E P T | C H L S | D G K O | Thu | G K O S | A L P T | B H M Q | C E I R | D F J N | Fri | H L P T | A K O S | B G N R | C F J Q | D E I M | Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 Would it be possible to add that no player were allowed to play in the same group either? /Uhre Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 (edited) uhre said: Would it be possible to add that no player were allowed to play in the same group either? /Uhre I guess so Reveal hidden contents Mon | A B C D | E F G H | I J K L | M N O P | Q R S T | Tue | E I M Q | A J N R | B F O S | C G K T | D H L P | Wed | F J N R | B I M Q | A E P T | D H L S | C G K O | Thu | G K O S | C L P T | D H M Q | A E I R | B F J N | Fri | H L P T | D K O S | C G N R | B F J Q | A E I M | Edit: Arh... I screwed that up. Yet, I still think it should be possible - or what? /Uhre Edited April 2, 2009 by uhre Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 uhre said: I guess so Reveal hidden contents Mon | A B C D | E F G H | I J K L | M N O P | Q R S T | Tue | E I M Q | A J N R | B F O S | C G K T | D H L P | Wed | F J N R | B I M Q | A E P T | D H L S | C G K O | Thu | G K O S | C L P T | D H M Q | A E I R | B F J N | Fri | H L P T | D K O S | C G N R | B F J Q | A E I M | Edit: Arh... I screwed that up. Yet, I still think it should be possible - or what? /Uhre Sorry, but at first glance I saw the same flaw in your both series: Fist team at wed. and last team at thru. F and N plays together twice. Quote Link to comment Share on other sites More sharing options...
0 Guest Posted April 2, 2009 Report Share Posted April 2, 2009 First my basic solution: Reveal hidden contents Mon A B C D | E F G H | I J K L | M N O P | Q R S T Tue A R O L | E B S P | I F C T | M J G D | Q N K H Wed A N G T | E R K D | I B O H | M F S L | Q J C P Thu A J S H | E N C L | I R G P | M B K T | Q F O D Fri A F K P | E J O T | I N S D | M R C H | Q B G L You just need to cycle the players at different speeds; The first column doesnt' move. The second column moves one table to the right for the next day. So B starts at table one, move to table two on Tuesday, table three on Wednesday and so on. F, J, N and R do the same. Then the third column moves two tables to the right and the last column moves three tables to the right. Yes, it's possible to add the extra constraint that a player can't play at the same table twice. Reveal hidden contents Mon A B C D | E F G H | I J K L | M N O P | Q R S T Tue E R O L | I B S P | M F C T | Q J G D | A N K H Wed I N G T | M R K D | Q B O H | A F S L | E J C P Thu M J S H | Q N C L | A R G P | E B K T | I F O D Fri Q F K P | A J O T | E N S D | I R C H | M B G L Same solution as before, only the first column moves four tables to the right (=one to the left) every day. Quote Link to comment Share on other sites More sharing options...
0 Prof. Templeton Posted April 2, 2009 Report Share Posted April 2, 2009 Reveal hidden contents Mon, ABCD, EFGH, IJKL, MNOP, QRST Tue, AEIM, BFJQ, CGNR, DKOS, HLPT Wed, AFOT, BELR, CIPS, DGJM, HKNQ Thu, AJPR, BHMS, CEKT, DFIN, GLOQ Fri, ALNS, BGIT, CHJO, DEPQ, FKMR Quote Link to comment Share on other sites More sharing options...
Question
bonanova
Twenty friends, call them A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T,
decide to play bridge in foursomes for 5 days. To add to the fun, none of the
players will have the same partner, nor play against any other player, more
than once during the week.
Can you provide the schedule of foursomes [NEWS] that will accomplish their wishes?
Mon | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ |
Tue | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ |
Wed | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ |
Thu | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ |
Fri | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ | _ _ _ _ |
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