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    <p>Maybe this code solve your problem, it is not as elegant as it could be but it seems to work. You should know ho arrangeGames works ;)</p> <p>Maybe you need to pay attention on <em>arrangePlayerforDays</em>. It put the various games in a day only if both of the players don't have a game already scheduled on that day. The other function are just for make the code more readable (and cover a pair of glitches in <em>arrangePlayerforDays</em>)</p> <pre><code>function gamePrettyPrint($gamesOnADay, $glue) { $result=array(); foreach ($gamesOnADay as $currentGame) $result[]=join($glue,$currentGame); return $result; } function arrangeGamesOnAday($day) { $result=array(); for ($k=0, $limit=count($day); $k&lt;$limit; $k+=2) $result[]=array($day[$k+1], $day[$k]); return $result; } function arrangeGames($players) { for ($i=0, $limit=count($players); $i &lt; $limit; $i++) for ($j=$i+1; $j&lt;$limit;$j++) $games[]=array($players[$i], $players[$j]); return $games; } function calculateTournamentDuration($players) { return count($players)-1; // (n!)/(2!*(n-2)!) * (1/n) } function arrangePlayerforDays($games, $days) { $mem = array_pad(array(),$tournamentDays,array()); for ($k=0;count($games);$k++) if ((array_search($games[0][0],$mem[$k%$days])=== false) and (array_search($games[0][1],$mem[$k%$days])=== false)) list($mem[$k%$days][], $mem[$k%$days][]) = array_shift($games); return ($mem); } function scatterGamesOnCalendar($games, $tournamentDays) { $days=arrangePlayerforDays($games, $tournamentDays); $calendar=array_map('arrangeGamesOnAday',$days); return $calendar; } // $initialArray = array('a','b','c','d','e','f','g','h'); $initialArray = array(30,31,32,33,34,35); $games= arrangeGames($initialArray); $tournamentSpan = calculateTournamentDuration($initialArray); $calendar = scatterGamesOnCalendar($games, $tournamentSpan); while ($day=array_shift($calendar)) $prettyCalendar[]=gamePrettyPrint($day,' v '); print_r($prettyCalendar); </code></pre>
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