Creating a game schedule with PHP _ Harder than I thought

Question

I have an array of unknown length that will always have a uniformly divisible number of values, for example:

print_r($initialarray);

Array ( [0] => 30 [1] => 31 [2] => 32 [3] => 33 [4] => 34 [5] => 35 ) 

I need to create sets:   

Set 1: 30 v 35; 31 v 34; 32 v 33;

Set 2: 30 v 34; 31 v 33; 32 v 35;

Set 3: 30 v 33; 31 v 32; 34 v 35;

Set 4: 30 v 32; 33 v 34; 31 v 35;

Set 5: 30 v 31; 32 v 34; 33 v 35; 

The order of values ​​is divided by v to indicate that they are a set. The ordering of the values ​​in the set does not matter (I accidentally chose this from my head). As you can see, there cannot be duplicate sets matching any other set or within the same set.

I tried many different things to come up with something that works. The closest I got is to put the initial values ​​in a cascading array containing all possible valid matches:

Array ( [0] => Array ( [0] => 35 [1] => 31 ) [1] => Array ( [0] => 34 [1] => 31 ) [2] => Array ( [0] => 33 [1] => 31 ) [3] => Array ( [0] => 32 [1] => 31 ) )

Array ( [0] => Array ( [0] => 35 [1] => 32 ) [1] => Array ( [0] => 34 [1] => 32 ) [2] => Array ( [0] => 33 [1] => 32 ) )

Array ( [0] => Array ( [0] => 35 [1] => 33 ) [1] => Array ( [0] => 34 [1] => 33 ) )

Array ( [0] => Array ( [0] => 35 [1] => 34 ) ) 

$sched. 30 .. oops

- . . , . , , .

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$count = count($initialarray);
$recount = $count -1;
for($u=0; $u < $count;$u++){
    for($d=0;$d<$recount;$d++){
         $vs[$u][$d] = $sched[$d][$u];
    }
$recount -= 1;
}

, , , . , , !

Answer 1

, , . http://en.wikipedia.org/wiki/Tournament_%28graph_theory%29

Answer 2

, , , , , , . ho organizationGames works;)

, arrPlayerforDays. , . , ( PlayerforDays)

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); $k<$limit; $k+=2)
      $result[]=array($day[$k+1], $day[$k]);
  return $result;
}

function arrangeGames($players) { 
  for ($i=0, $limit=count($players); $i < $limit; $i++) 
    for ($j=$i+1; $j<$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);

Answer 3

"" ,

0 => 30 v 35
1 => 31 v 34
2 => 32 v 33

. , . , , , , .

Answer 4

, ?

Answer 5

$team = array( 1 => 30 , 2 => 31 , 3 => 32 , 4 => 33 , 5 => 34 , 6 => 35 );

$numplayers = count($team);
if ($numplayers % 2 != 0) $numplayers++; 
for ($round = 0;$round < $numplayers - 1;$round++) {
    echo 'Set ' . ($round+1) . ":\n\n{$team[1]}-";
    for ($i = 0;$i < $numplayers-1;$i++) {
        if ($i % 2 == 0) {
            $player = ($numplayers-2) - ($i/2) - $round;
        } else {
            $player = ((($i-1)/2) - $round);
        }
        if ($player < 0) $player += $numplayers - 1;
        echo $team[$player+2];
        echo ($i % 2 == 0) ? "\n" : '-';
    }
    echo "\n\n<br/>";
}