我正在制作一个纸牌游戏,我需要以前创建卡片并将它们存储在mysql表中。我正在努力弄清楚如何制作一个php脚本来创建它们。嗯,有6种类型的值从0到12不等,每一张卡都有每个类别的值。每张卡中类别的值之和必须为36。所以每一张卡片都是这样的:
或
甚至
我想如果我能随机产生50或60张卡片,那就太棒了。
提前谢谢。
发布于 2012-07-10 22:38:50
一个非常天真的方法是:
/* return an array of 6 numbers between 0 and 12 that sum to 36 */
generate_card() {
$numbers = array();
for($i = 0; $i < 6; $i += 1) {
$numbers[$i] = rand(0, 12);
}
if (array_sum($numbers) !== 36) {
return generate_card(); // repeat until we find one that does sum to 36
} else {
return $numbers; // yay!
}
}
我认为这对于“简单的纸牌游戏”来说是足够好的。
发布于 2012-07-10 22:46:59
像这样的东西应该有效--逻辑可能有点不对劲,我还没有测试过它。
function generate_card() {
$max_card = 12; // What's the highest value of a card number?
$min_card = 0; // What's the lowest value of a card number?
$num_cards = 6; // How many numbers on a card?
$total = 36; // What's the desired sum?
$numbers = array();
$running_total = 0;
for ($i = 0; $i < $num_cards; ++$i) {
$max = min($max_card, $total - $running_total); //The highest number we can choose
$min = max($min_card, $total - $running_total - ($max_card * ($num_cards - ($i + 1)))); //The lowest number we can choose
//- how much is left ? $total - $running total
//- min is amount_left - ($max_card
$number = rand($min, $max);
$running_total += $number;
$numbers[] = $number;
}
return $numbers;
}
编辑:我把括号和索引放错了,它现在正常工作了。
发布于 2012-07-12 00:23:15
我知道你已经为这个问题选择了一个答案,但我想无论如何我还是要考虑一下我的解决方案,因为我认为它带来了一些问题。
问题的一部分是,所谓的“随机手”在这里有点模糊。如果你想要一个真正的随机的6张牌的总和到36,你必须有一个平等的机会从所有可能的手,金额为36。
一个数字可以被求和的方式称为分区。我编写了一个算法来生成所有可能的36个分区。那是一万七千个分区。然后,我剔除了使用超过12的数字的任何分区,然后剔除了涉及6个以上数字的任何分区。这给我留下了676张可能的6张牌,加到36张。
为了确保完全的随机性,我会采取的方法是从所有可能的手的数组中随机选择。它更需要存储(必须存储数组),但比任何方法都快(因为您只选择一个随机数,然后从数组中提取它)。以下是缩写代码(后面是完整代码):
$allHands = array(
array(12,12,12,0,0,0),
array(12,12,11,1,0,0),
array(12,12,10,2,0,0),
array(12,12,10,1,1,0),
// ...etc
);
$hand = $allHands[ rand( 0, count($allHands)-1 ) ];
shuffle( $hand );
// $hand is now a completely random hand of 6 cards summing to 36
下面是所有可能的手的完整数组:
$allHands = array(
array( 12, 12, 12, 0, 0, 0 ),
array( 12, 12, 11, 1, 0, 0 ),
array( 12, 12, 10, 2, 0, 0 ),
array( 12, 12, 10, 1, 1, 0 ),
array( 12, 12, 9, 3, 0, 0 ),
array( 12, 12, 9, 2, 1, 0 ),
array( 12, 12, 9, 1, 1, 1 ),
array( 12, 12, 8, 4, 0, 0 ),
array( 12, 12, 8, 3, 1, 0 ),
array( 12, 12, 8, 2, 2, 0 ),
array( 12, 12, 8, 2, 1, 1 ),
array( 12, 12, 7, 5, 0, 0 ),
array( 12, 12, 7, 4, 1, 0 ),
array( 12, 12, 7, 3, 2, 0 ),
array( 12, 12, 7, 3, 1, 1 ),
array( 12, 12, 7, 2, 2, 1 ),
array( 12, 12, 6, 6, 0, 0 ),
array( 12, 12, 6, 5, 1, 0 ),
array( 12, 12, 6, 4, 2, 0 ),
array( 12, 12, 6, 4, 1, 1 ),
array( 12, 12, 6, 3, 3, 0 ),
array( 12, 12, 6, 3, 2, 1 ),
array( 12, 12, 6, 2, 2, 2 ),
array( 12, 12, 5, 5, 2, 0 ),
array( 12, 12, 5, 5, 1, 1 ),
array( 12, 12, 5, 4, 3, 0 ),
array( 12, 12, 5, 4, 2, 1 ),
array( 12, 12, 5, 3, 3, 1 ),
array( 12, 12, 5, 3, 2, 2 ),
array( 12, 12, 4, 4, 4, 0 ),
array( 12, 12, 4, 4, 3, 1 ),
array( 12, 12, 4, 4, 2, 2 ),
array( 12, 12, 4, 3, 3, 2 ),
array( 12, 12, 3, 3, 3, 3 ),
array( 12, 11, 11, 2, 0, 0 ),
array( 12, 11, 11, 1, 1, 0 ),
array( 12, 11, 10, 3, 0, 0 ),
array( 12, 11, 10, 2, 1, 0 ),
array( 12, 11, 10, 1, 1, 1 ),
array( 12, 11, 9, 4, 0, 0 ),
array( 12, 11, 9, 3, 1, 0 ),
array( 12, 11, 9, 2, 2, 0 ),
array( 12, 11, 9, 2, 1, 1 ),
array( 12, 11, 8, 5, 0, 0 ),
array( 12, 11, 8, 4, 1, 0 ),
array( 12, 11, 8, 3, 2, 0 ),
array( 12, 11, 8, 3, 1, 1 ),
array( 12, 11, 8, 2, 2, 1 ),
array( 12, 11, 7, 6, 0, 0 ),
array( 12, 11, 7, 5, 1, 0 ),
array( 12, 11, 7, 4, 2, 0 ),
array( 12, 11, 7, 4, 1, 1 ),
array( 12, 11, 7, 3, 3, 0 ),
array( 12, 11, 7, 3, 2, 1 ),
array( 12, 11, 7, 2, 2, 2 ),
array( 12, 11, 6, 6, 1, 0 ),
array( 12, 11, 6, 5, 2, 0 ),
array( 12, 11, 6, 5, 1, 1 ),
array( 12, 11, 6, 4, 3, 0 ),
array( 12, 11, 6, 4, 2, 1 ),
array( 12, 11, 6, 3, 3, 1 ),
array( 12, 11, 6, 3, 2, 2 ),
array( 12, 11, 5, 5, 3, 0 ),
array( 12, 11, 5, 5, 2, 1 ),
array( 12, 11, 5, 4, 4, 0 ),
array( 12, 11, 5, 4, 3, 1 ),
array( 12, 11, 5, 4, 2, 2 ),
array( 12, 11, 5, 3, 3, 2 ),
array( 12, 11, 4, 4, 4, 1 ),
array( 12, 11, 4, 4, 3, 2 ),
array( 12, 11, 4, 3, 3, 3 ),
array( 12, 10, 10, 4, 0, 0 ),
array( 12, 10, 10, 3, 1, 0 ),
array( 12, 10, 10, 2, 2, 0 ),
array( 12, 10, 10, 2, 1, 1 ),
array( 12, 10, 9, 5, 0, 0 ),
array( 12, 10, 9, 4, 1, 0 ),
array( 12, 10, 9, 3, 2, 0 ),
array( 12, 10, 9, 3, 1, 1 ),
array( 12, 10, 9, 2, 2, 1 ),
array( 12, 10, 8, 6, 0, 0 ),
array( 12, 10, 8, 5, 1, 0 ),
array( 12, 10, 8, 4, 2, 0 ),
array( 12, 10, 8, 4, 1, 1 ),
array( 12, 10, 8, 3, 3, 0 ),
array( 12, 10, 8, 3, 2, 1 ),
array( 12, 10, 8, 2, 2, 2 ),
array( 12, 10, 7, 7, 0, 0 ),
array( 12, 10, 7, 6, 1, 0 ),
array( 12, 10, 7, 5, 2, 0 ),
array( 12, 10, 7, 5, 1, 1 ),
array( 12, 10, 7, 4, 3, 0 ),
array( 12, 10, 7, 4, 2, 1 ),
array( 12, 10, 7, 3, 3, 1 ),
array( 12, 10, 7, 3, 2, 2 ),
array( 12, 10, 6, 6, 2, 0 ),
array( 12, 10, 6, 6, 1, 1 ),
array( 12, 10, 6, 5, 3, 0 ),
array( 12, 10, 6, 5, 2, 1 ),
array( 12, 10, 6, 4, 4, 0 ),
array( 12, 10, 6, 4, 3, 1 ),
array( 12, 10, 6, 4, 2, 2 ),
array( 12, 10, 6, 3, 3, 2 ),
array( 12, 10, 5, 5, 4, 0 ),
array( 12, 10, 5, 5, 3, 1 ),
array( 12, 10, 5, 5, 2, 2 ),
array( 12, 10, 5, 4, 4, 1 ),
array( 12, 10, 5, 4, 3, 2 ),
array( 12, 10, 5, 3, 3, 3 ),
array( 12, 10, 4, 4, 4, 2 ),
array( 12, 10, 4, 4, 3, 3 ),
array( 12, 9, 9, 6, 0, 0 ),
array( 12, 9, 9, 5, 1, 0 ),
array( 12, 9, 9, 4, 2, 0 ),
array( 12, 9, 9, 4, 1, 1 ),
array( 12, 9, 9, 3, 3, 0 ),
array( 12, 9, 9, 3, 2, 1 ),
array( 12, 9, 9, 2, 2, 2 ),
array( 12, 9, 8, 7, 0, 0 ),
array( 12, 9, 8, 6, 1, 0 ),
array( 12, 9, 8, 5, 2, 0 ),
array( 12, 9, 8, 5, 1, 1 ),
array( 12, 9, 8, 4, 3, 0 ),
array( 12, 9, 8, 4, 2, 1 ),
array( 12, 9, 8, 3, 3, 1 ),
array( 12, 9, 8, 3, 2, 2 ),
array( 12, 9, 7, 7, 1, 0 ),
array( 12, 9, 7, 6, 2, 0 ),
array( 12, 9, 7, 6, 1, 1 ),
array( 12, 9, 7, 5, 3, 0 ),
array( 12, 9, 7, 5, 2, 1 ),
array( 12, 9, 7, 4, 4, 0 ),
array( 12, 9, 7, 4, 3, 1 ),
array( 12, 9, 7, 4, 2, 2 ),
array( 12, 9, 7, 3, 3, 2 ),
array( 12, 9, 6, 6, 3, 0 ),
array( 12, 9, 6, 6, 2, 1 ),
array( 12, 9, 6, 5, 4, 0 ),
array( 12, 9, 6, 5, 3, 1 ),
array( 12, 9, 6, 5, 2, 2 ),
array( 12, 9, 6, 4, 4, 1 ),
array( 12, 9, 6, 4, 3, 2 ),
array( 12, 9, 6, 3, 3, 3 ),
array( 12, 9, 5, 5, 5, 0 ),
array( 12, 9, 5, 5, 4, 1 ),
array( 12, 9, 5, 5, 3, 2 ),
array( 12, 9, 5, 4, 4, 2 ),
array( 12, 9, 5, 4, 3, 3 ),
array( 12, 9, 4, 4, 4, 3 ),
array( 12, 8, 8, 8, 0, 0 ),
array( 12, 8, 8, 7, 1, 0 ),
array( 12, 8, 8, 6, 2, 0 ),
array( 12, 8, 8, 6, 1, 1 ),
array( 12, 8, 8, 5, 3, 0 ),
array( 12, 8, 8, 5, 2, 1 ),
array( 12, 8, 8, 4, 4, 0 ),
array( 12, 8, 8, 4, 3, 1 ),
array( 12, 8, 8, 4, 2, 2 ),
array( 12, 8, 8, 3, 3, 2 ),
array( 12, 8, 7, 7, 2, 0 ),
array( 12, 8, 7, 7, 1, 1 ),
array( 12, 8, 7, 6, 3, 0 ),
array( 12, 8, 7, 6, 2, 1 ),
array( 12, 8, 7, 5, 4, 0 ),
array( 12, 8, 7, 5, 3, 1 ),
array( 12, 8, 7, 5, 2, 2 ),
array( 12, 8, 7, 4, 4, 1 ),
array( 12, 8, 7, 4, 3, 2 ),
array( 12, 8, 7, 3, 3, 3 ),
array( 12, 8, 6, 6, 4, 0 ),
array( 12, 8, 6, 6, 3, 1 ),
array( 12, 8, 6, 6, 2, 2 ),
array( 12, 8, 6, 5, 5, 0 ),
array( 12, 8, 6, 5, 4, 1 ),
array( 12, 8, 6, 5, 3, 2 ),
array( 12, 8, 6, 4, 4, 2 ),
array( 12, 8, 6, 4, 3, 3 ),
array( 12, 8, 5, 5, 5, 1 ),
array( 12, 8, 5, 5, 4, 2 ),
array( 12, 8, 5, 5, 3, 3 ),
array( 12, 8, 5, 4, 4, 3 ),
array( 12, 8, 4, 4, 4, 4 ),
array( 12, 7, 7, 7, 3, 0 ),
array( 12, 7, 7, 7, 2, 1 ),
array( 12, 7, 7, 6, 4, 0 ),
array( 12, 7, 7, 6, 3, 1 ),
array( 12, 7, 7, 6, 2, 2 ),
array( 12, 7, 7, 5, 5, 0 ),
array( 12, 7, 7, 5, 4, 1 ),
array( 12, 7, 7, 5, 3, 2 ),
array( 12, 7, 7, 4, 4, 2 ),
array( 12, 7, 7, 4, 3, 3 ),
array( 12, 7, 6, 6, 5, 0 ),
array( 12, 7, 6, 6, 4, 1 ),
array( 12, 7, 6, 6, 3, 2 ),
array( 12, 7, 6, 5, 5, 1 ),
array( 12, 7, 6, 5, 4, 2 ),
array( 12, 7, 6, 5, 3, 3 ),
array( 12, 7, 6, 4, 4, 3 ),
array( 12, 7, 5, 5, 5, 2 ),
array( 12, 7, 5, 5, 4, 3 ),
array( 12, 7, 5, 4, 4, 4 ),
array( 12, 6, 6, 6, 6, 0 ),
array( 12, 6, 6, 6, 5, 1 ),
array( 12, 6, 6, 6, 4, 2 ),
array( 12, 6, 6, 6, 3, 3 ),
array( 12, 6, 6, 5, 5, 2 ),
array( 12, 6, 6, 5, 4, 3 ),
array( 12, 6, 6, 4, 4, 4 ),
array( 12, 6, 5, 5, 5, 3 ),
array( 12, 6, 5, 5, 4, 4 ),
array( 12, 5, 5, 5, 5, 4 ),
array( 11, 11, 11, 3, 0, 0 ),
array( 11, 11, 11, 2, 1, 0 ),
array( 11, 11, 11, 1, 1, 1 ),
array( 11, 11, 10, 4, 0, 0 ),
array( 11, 11, 10, 3, 1, 0 ),
array( 11, 11, 10, 2, 2, 0 ),
array( 11, 11, 10, 2, 1, 1 ),
array( 11, 11, 9, 5, 0, 0 ),
array( 11, 11, 9, 4, 1, 0 ),
array( 11, 11, 9, 3, 2, 0 ),
array( 11, 11, 9, 3, 1, 1 ),
array( 11, 11, 9, 2, 2, 1 ),
array( 11, 11, 8, 6, 0, 0 ),
array( 11, 11, 8, 5, 1, 0 ),
array( 11, 11, 8, 4, 2, 0 ),
array( 11, 11, 8, 4, 1, 1 ),
array( 11, 11, 8, 3, 3, 0 ),
array( 11, 11, 8, 3, 2, 1 ),
array( 11, 11, 8, 2, 2, 2 ),
array( 11, 11, 7, 7, 0, 0 ),
array( 11, 11, 7, 6, 1, 0 ),
array( 11, 11, 7, 5, 2, 0 ),
array( 11, 11, 7, 5, 1, 1 ),
array( 11, 11, 7, 4, 3, 0 ),
array( 11, 11, 7, 4, 2, 1 ),
array( 11, 11, 7, 3, 3, 1 ),
array( 11, 11, 7, 3, 2, 2 ),
array( 11, 11, 6, 6, 2, 0 ),
array( 11, 11, 6, 6, 1, 1 ),
array( 11, 11, 6, 5, 3, 0 ),
array( 11, 11, 6, 5, 2, 1 ),
array( 11, 11, 6, 4, 4, 0 ),
array( 11, 11, 6, 4, 3, 1 ),
array( 11, 11, 6, 4, 2, 2 ),
array( 11, 11, 6, 3, 3, 2 ),
array( 11, 11, 5, 5, 4, 0 ),
array( 11, 11, 5, 5, 3, 1 ),
array( 11, 11, 5, 5, 2, 2 ),
array( 11, 11, 5, 4, 4, 1 ),
array( 11, 11, 5, 4, 3, 2 ),
array( 11, 11, 5, 3, 3, 3 ),
array( 11, 11, 4, 4, 4, 2 ),
array( 11, 11, 4, 4, 3, 3 ),
array( 11, 10, 10, 5, 0, 0 ),
array( 11, 10, 10, 4, 1, 0 ),
array( 11, 10, 10, 3, 2, 0 ),
array( 11, 10, 10, 3, 1, 1 ),
array( 11, 10, 10, 2, 2, 1 ),
array( 11, 10, 9, 6, 0, 0 ),
array( 11, 10, 9, 5, 1, 0 ),
array( 11, 10, 9, 4, 2, 0 ),
array( 11, 10, 9, 4, 1, 1 ),
array( 11, 10, 9, 3, 3, 0 ),
array( 11, 10, 9, 3, 2, 1 ),
array( 11, 10, 9, 2, 2, 2 ),
array( 11, 10, 8, 7, 0, 0 ),
array( 11, 10, 8, 6, 1, 0 ),
array( 11, 10, 8, 5, 2, 0 ),
array( 11, 10, 8, 5, 1, 1 ),
array( 11, 10, 8, 4, 3, 0 ),
array( 11, 10, 8, 4, 2, 1 ),
array( 11, 10, 8, 3, 3, 1 ),
array( 11, 10, 8, 3, 2, 2 ),
array( 11, 10, 7, 7, 1, 0 ),
array( 11, 10, 7, 6, 2, 0 ),
array( 11, 10, 7, 6, 1, 1 ),
array( 11, 10, 7, 5, 3, 0 ),
array( 11, 10, 7, 5, 2, 1 ),
array( 11, 10, 7, 4, 4, 0 ),
array( 11, 10, 7, 4, 3, 1 ),
array( 11, 10, 7, 4, 2, 2 ),
array( 11, 10, 7, 3, 3, 2 ),
array( 11, 10, 6, 6, 3, 0 ),
array( 11, 10, 6, 6, 2, 1 ),
array( 11, 10, 6, 5, 4, 0 ),
array( 11, 10, 6, 5, 3, 1 ),
array( 11, 10, 6, 5, 2, 2 ),
array( 11, 10, 6, 4, 4, 1 ),
array( 11, 10, 6, 4, 3, 2 ),
array( 11, 10, 6, 3, 3, 3 ),
array( 11, 10, 5, 5, 5, 0 ),
array( 11, 10, 5, 5, 4, 1 ),
array( 11, 10, 5, 5, 3, 2 ),
array( 11, 10, 5, 4, 4, 2 ),
array( 11, 10, 5, 4, 3, 3 ),
array( 11, 10, 4, 4, 4, 3 ),
array( 11, 9, 9, 7, 0, 0 ),
array( 11, 9, 9, 6, 1, 0 ),
array( 11, 9, 9, 5, 2, 0 ),
array( 11, 9, 9, 5, 1, 1 ),
array( 11, 9, 9, 4, 3, 0 ),
array( 11, 9, 9, 4, 2, 1 ),
array( 11, 9, 9, 3, 3, 1 ),
array( 11, 9, 9, 3, 2, 2 ),
array( 11, 9, 8, 8, 0, 0 ),
array( 11, 9, 8, 7, 1, 0 ),
array( 11, 9, 8, 6, 2, 0 ),
array( 11, 9, 8, 6, 1, 1 ),
array( 11, 9, 8, 5, 3, 0 ),
array( 11, 9, 8, 5, 2, 1 ),
array( 11, 9, 8, 4, 4, 0 ),
array( 11, 9, 8, 4, 3, 1 ),
array( 11, 9, 8, 4, 2, 2 ),
array( 11, 9, 8, 3, 3, 2 ),
array( 11, 9, 7, 7, 2, 0 ),
array( 11, 9, 7, 7, 1, 1 ),
array( 11, 9, 7, 6, 3, 0 ),
array( 11, 9, 7, 6, 2, 1 ),
array( 11, 9, 7, 5, 4, 0 ),
array( 11, 9, 7, 5, 3, 1 ),
array( 11, 9, 7, 5, 2, 2 ),
array( 11, 9, 7, 4, 4, 1 ),
array( 11, 9, 7, 4, 3, 2 ),
array( 11, 9, 7, 3, 3, 3 ),
array( 11, 9, 6, 6, 4, 0 ),
array( 11, 9, 6, 6, 3, 1 ),
array( 11, 9, 6, 6, 2, 2 ),
array( 11, 9, 6, 5, 5, 0 ),
array( 11, 9, 6, 5, 4, 1 ),
array( 11, 9, 6, 5, 3, 2 ),
array( 11, 9, 6, 4, 4, 2 ),
array( 11, 9, 6, 4, 3, 3 ),
array( 11, 9, 5, 5, 5, 1 ),
array( 11, 9, 5, 5, 4, 2 ),
array( 11, 9, 5, 5, 3, 3 ),
array( 11, 9, 5, 4, 4, 3 ),
array( 11, 9, 4, 4, 4, 4 ),
array( 11, 8, 8, 8, 1, 0 ),
array( 11, 8, 8, 7, 2, 0 ),
array( 11, 8, 8, 7, 1, 1 ),
array( 11, 8, 8, 6, 3, 0 ),
array( 11, 8, 8, 6, 2, 1 ),
array( 11, 8, 8, 5, 4, 0 ),
array( 11, 8, 8, 5, 3, 1 ),
array( 11, 8, 8, 5, 2, 2 ),
array( 11, 8, 8, 4, 4, 1 ),
array( 11, 8, 8, 4, 3, 2 ),
array( 11, 8, 8, 3, 3, 3 ),
array( 11, 8, 7, 7, 3, 0 ),
array( 11, 8, 7, 7, 2, 1 ),
array( 11, 8, 7, 6, 4, 0 ),
array( 11, 8, 7, 6, 3, 1 ),
array( 11, 8, 7, 6, 2, 2 ),
array( 11, 8, 7, 5, 5, 0 ),
array( 11, 8, 7, 5, 4, 1 ),
array( 11, 8, 7, 5, 3, 2 ),
array( 11, 8, 7, 4, 4, 2 ),
array( 11, 8, 7, 4, 3, 3 ),
array( 11, 8, 6, 6, 5, 0 ),
array( 11, 8, 6, 6, 4, 1 ),
array( 11, 8, 6, 6, 3, 2 ),
array( 11, 8, 6, 5, 5, 1 ),
array( 11, 8, 6, 5, 4, 2 ),
array( 11, 8, 6, 5, 3, 3 ),
array( 11, 8, 6, 4, 4, 3 ),
array( 11, 8, 5, 5, 5, 2 ),
array( 11, 8, 5, 5, 4, 3 ),
array( 11, 8, 5, 4, 4, 4 ),
array( 11, 7, 7, 7, 4, 0 ),
array( 11, 7, 7, 7, 3, 1 ),
array( 11, 7, 7, 7, 2, 2 ),
array( 11, 7, 7, 6, 5, 0 ),
array( 11, 7, 7, 6, 4, 1 ),
array( 11, 7, 7, 6, 3, 2 ),
array( 11, 7, 7, 5, 5, 1 ),
array( 11, 7, 7, 5, 4, 2 ),
array( 11, 7, 7, 5, 3, 3 ),
array( 11, 7, 7, 4, 4, 3 ),
array( 11, 7, 6, 6, 6, 0 ),
array( 11, 7, 6, 6, 5, 1 ),
array( 11, 7, 6, 6, 4, 2 ),
array( 11, 7, 6, 6, 3, 3 ),
array( 11, 7, 6, 5, 5, 2 ),
array( 11, 7, 6, 5, 4, 3 ),
array( 11, 7, 6, 4, 4, 4 ),
array( 11, 7, 5, 5, 5, 3 ),
array( 11, 7, 5, 5, 4, 4 ),
array( 11, 6, 6, 6, 6, 1 ),
array( 11, 6, 6, 6, 5, 2 ),
array( 11, 6, 6, 6, 4, 3 ),
array( 11, 6, 6, 5, 5, 3 ),
array( 11, 6, 6, 5, 4, 4 ),
array( 11, 6, 5, 5, 5, 4 ),
array( 11, 5, 5, 5, 5, 5 ),
array( 10, 10, 10, 6, 0, 0 ),
array( 10, 10, 10, 5, 1, 0 ),
array( 10, 10, 10, 4, 2, 0 ),
array( 10, 10, 10, 4, 1, 1 ),
array( 10, 10, 10, 3, 3, 0 ),
array( 10, 10, 10, 3, 2, 1 ),
array( 10, 10, 10, 2, 2, 2 ),
array( 10, 10, 9, 7, 0, 0 ),
array( 10, 10, 9, 6, 1, 0 ),
array( 10, 10, 9, 5, 2, 0 ),
array( 10, 10, 9, 5, 1, 1 ),
array( 10, 10, 9, 4, 3, 0 ),
array( 10, 10, 9, 4, 2, 1 ),
array( 10, 10, 9, 3, 3, 1 ),
array( 10, 10, 9, 3, 2, 2 ),
array( 10, 10, 8, 8, 0, 0 ),
array( 10, 10, 8, 7, 1, 0 ),
array( 10, 10, 8, 6, 2, 0 ),
array( 10, 10, 8, 6, 1, 1 ),
array( 10, 10, 8, 5, 3, 0 ),
array( 10, 10, 8, 5, 2, 1 ),
array( 10, 10, 8, 4, 4, 0 ),
array( 10, 10, 8, 4, 3, 1 ),
array( 10, 10, 8, 4, 2, 2 ),
array( 10, 10, 8, 3, 3, 2 ),
array( 10, 10, 7, 7, 2, 0 ),
array( 10, 10, 7, 7, 1, 1 ),
array( 10, 10, 7, 6, 3, 0 ),
array( 10, 10, 7, 6, 2, 1 ),
array( 10, 10, 7, 5, 4, 0 ),
array( 10, 10, 7, 5, 3, 1 ),
array( 10, 10, 7, 5, 2, 2 ),
array( 10, 10, 7, 4, 4, 1 ),
array( 10, 10, 7, 4, 3, 2 ),
array( 10, 10, 7, 3, 3, 3 ),
array( 10, 10, 6, 6, 4, 0 ),
array( 10, 10, 6, 6, 3, 1 ),
array( 10, 10, 6, 6, 2, 2 ),
array( 10, 10, 6, 5, 5, 0 ),
array( 10, 10, 6, 5, 4, 1 ),
array( 10, 10, 6, 5, 3, 2 ),
array( 10, 10, 6, 4, 4, 2 ),
array( 10, 10, 6, 4, 3, 3 ),
array( 10, 10, 5, 5, 5, 1 ),
array( 10, 10, 5, 5, 4, 2 ),
array( 10, 10, 5, 5, 3, 3 ),
array( 10, 10, 5, 4, 4, 3 ),
array( 10, 10, 4, 4, 4, 4 ),
array( 10, 9, 9, 8, 0, 0 ),
array( 10, 9, 9, 7, 1, 0 ),
array( 10, 9, 9, 6, 2, 0 ),
array( 10, 9, 9, 6, 1, 1 ),
array( 10, 9, 9, 5, 3, 0 ),
array( 10, 9, 9, 5, 2, 1 ),
array( 10, 9, 9, 4, 4, 0 ),
array( 10, 9, 9, 4, 3, 1 ),
array( 10, 9, 9, 4, 2, 2 ),
array( 10, 9, 9, 3, 3, 2 ),
array( 10, 9, 8, 8, 1, 0 ),
array( 10, 9, 8, 7, 2, 0 ),
array( 10, 9, 8, 7, 1, 1 ),
array( 10, 9, 8, 6, 3, 0 ),
array( 10, 9, 8, 6, 2, 1 ),
array( 10, 9, 8, 5, 4, 0 ),
array( 10, 9, 8, 5, 3, 1 ),
array( 10, 9, 8, 5, 2, 2 ),
array( 10, 9, 8, 4, 4, 1 ),
array( 10, 9, 8, 4, 3, 2 ),
array( 10, 9, 8, 3, 3, 3 ),
array( 10, 9, 7, 7, 3, 0 ),
array( 10, 9, 7, 7, 2, 1 ),
array( 10, 9, 7, 6, 4, 0 ),
array( 10, 9, 7, 6, 3, 1 ),
array( 10, 9, 7, 6, 2, 2 ),
array( 10, 9, 7, 5, 5, 0 ),
array( 10, 9, 7, 5, 4, 1 ),
array( 10, 9, 7, 5, 3, 2 ),
array( 10, 9, 7, 4, 4, 2 ),
array( 10, 9, 7, 4, 3, 3 ),
array( 10, 9, 6, 6, 5, 0 ),
array( 10, 9, 6, 6, 4, 1 ),
array( 10, 9, 6, 6, 3, 2 ),
array( 10, 9, 6, 5, 5, 1 ),
array( 10, 9, 6, 5, 4, 2 ),
array( 10, 9, 6, 5, 3, 3 ),
array( 10, 9, 6, 4, 4, 3 ),
array( 10, 9, 5, 5, 5, 2 ),
array( 10, 9, 5, 5, 4, 3 ),
array( 10, 9, 5, 4, 4, 4 ),
array( 10, 8, 8, 8, 2, 0 ),
array( 10, 8, 8, 8, 1, 1 ),
array( 10, 8, 8, 7, 3, 0 ),
array( 10, 8, 8, 7, 2, 1 ),
array( 10, 8, 8, 6, 4, 0 ),
array( 10, 8, 8, 6, 3, 1 ),
array( 10, 8, 8, 6, 2, 2 ),
array( 10, 8, 8, 5, 5, 0 ),
array( 10, 8, 8, 5, 4, 1 ),
array( 10, 8, 8, 5, 3, 2 ),
array( 10, 8, 8, 4, 4, 2 ),
array( 10, 8, 8, 4, 3, 3 ),
array( 10, 8, 7, 7, 4, 0 ),
array( 10, 8, 7, 7, 3, 1 ),
array( 10, 8, 7, 7, 2, 2 ),
array( 10, 8, 7, 6, 5, 0 ),
array( 10, 8, 7, 6, 4, 1 ),
array( 10, 8, 7, 6, 3, 2 ),
array( 10, 8, 7, 5, 5, 1 ),
array( 10, 8, 7, 5, 4, 2 ),
array( 10, 8, 7, 5, 3, 3 ),
array( 10, 8, 7, 4, 4, 3 ),
array( 10, 8, 6, 6, 6, 0 ),
array( 10, 8, 6, 6, 5, 1 ),
array( 10, 8, 6, 6, 4, 2 ),
array( 10, 8, 6, 6, 3, 3 ),
array( 10, 8, 6, 5, 5, 2 ),
array( 10, 8, 6, 5, 4, 3 ),
array( 10, 8, 6, 4, 4, 4 ),
array( 10, 8, 5, 5, 5, 3 ),
array( 10, 8, 5, 5, 4, 4 ),
array( 10, 7, 7, 7, 5, 0 ),
array( 10, 7, 7, 7, 4, 1 ),
array( 10, 7, 7, 7, 3, 2 ),
array( 10, 7, 7, 6, 6, 0 ),
array( 10, 7, 7, 6, 5, 1 ),
array( 10, 7, 7, 6, 4, 2 ),
array( 10, 7, 7, 6, 3, 3 ),
array( 10, 7, 7, 5, 5, 2 ),
array( 10, 7, 7, 5, 4, 3 ),
array( 10, 7, 7, 4, 4, 4 ),
array( 10, 7, 6, 6, 6, 1 ),
array( 10, 7, 6, 6, 5, 2 ),
array( 10, 7, 6, 6, 4, 3 ),
array( 10, 7, 6, 5, 5, 3 ),
array( 10, 7, 6, 5, 4, 4 ),
array( 10, 7, 5, 5, 5, 4 ),
array( 10, 6, 6, 6, 6, 2 ),
array( 10, 6, 6, 6, 5, 3 ),
array( 10, 6, 6, 6, 4, 4 ),
array( 10, 6, 6, 5, 5, 4 ),
array( 10, 6, 5, 5, 5, 5 ),
array( 9, 9, 9, 9, 0, 0 ),
array( 9, 9, 9, 8, 1, 0 ),
array( 9, 9, 9, 7, 2, 0 ),
array( 9, 9, 9, 7, 1, 1 ),
array( 9, 9, 9, 6, 3, 0 ),
array( 9, 9, 9, 6, 2, 1 ),
array( 9, 9, 9, 5, 4, 0 ),
array( 9, 9, 9, 5, 3, 1 ),
array( 9, 9, 9, 5, 2, 2 ),
array( 9, 9, 9, 4, 4, 1 ),
array( 9, 9, 9, 4, 3, 2 ),
array( 9, 9, 9, 3, 3, 3 ),
array( 9, 9, 8, 8, 2, 0 ),
array( 9, 9, 8, 8, 1, 1 ),
array( 9, 9, 8, 7, 3, 0 ),
array( 9, 9, 8, 7, 2, 1 ),
array( 9, 9, 8, 6, 4, 0 ),
array( 9, 9, 8, 6, 3, 1 ),
array( 9, 9, 8, 6, 2, 2 ),
array( 9, 9, 8, 5, 5, 0 ),
array( 9, 9, 8, 5, 4, 1 ),
array( 9, 9, 8, 5, 3, 2 ),
array( 9, 9, 8, 4, 4, 2 ),
array( 9, 9, 8, 4, 3, 3 ),
array( 9, 9, 7, 7, 4, 0 ),
array( 9, 9, 7, 7, 3, 1 ),
array( 9, 9, 7, 7, 2, 2 ),
array( 9, 9, 7, 6, 5, 0 ),
array( 9, 9, 7, 6, 4, 1 ),
array( 9, 9, 7, 6, 3, 2 ),
array( 9, 9, 7, 5, 5, 1 ),
array( 9, 9, 7, 5, 4, 2 ),
array( 9, 9, 7, 5, 3, 3 ),
array( 9, 9, 7, 4, 4, 3 ),
array( 9, 9, 6, 6, 6, 0 ),
array( 9, 9, 6, 6, 5, 1 ),
array( 9, 9, 6, 6, 4, 2 ),
array( 9, 9, 6, 6, 3, 3 ),
array( 9, 9, 6, 5, 5, 2 ),
array( 9, 9, 6, 5, 4, 3 ),
array( 9, 9, 6, 4, 4, 4 ),
array( 9, 9, 5, 5, 5, 3 ),
array( 9, 9, 5, 5, 4, 4 ),
array( 9, 8, 8, 8, 3, 0 ),
array( 9, 8, 8, 8, 2, 1 ),
array( 9, 8, 8, 7, 4, 0 ),
array( 9, 8, 8, 7, 3, 1 ),
array( 9, 8, 8, 7, 2, 2 ),
array( 9, 8, 8, 6, 5, 0 ),
array( 9, 8, 8, 6, 4, 1 ),
array( 9, 8, 8, 6, 3, 2 ),
array( 9, 8, 8, 5, 5, 1 ),
array( 9, 8, 8, 5, 4, 2 ),
array( 9, 8, 8, 5, 3, 3 ),
array( 9, 8, 8, 4, 4, 3 ),
array( 9, 8, 7, 7, 5, 0 ),
array( 9, 8, 7, 7, 4, 1 ),
array( 9, 8, 7, 7, 3, 2 ),
array( 9, 8, 7, 6, 6, 0 ),
array( 9, 8, 7, 6, 5, 1 ),
array( 9, 8, 7, 6, 4, 2 ),
array( 9, 8, 7, 6, 3, 3 ),
array( 9, 8, 7, 5, 5, 2 ),
array( 9, 8, 7, 5, 4, 3 ),
array( 9, 8, 7, 4, 4, 4 ),
array( 9, 8, 6, 6, 6, 1 ),
array( 9, 8, 6, 6, 5, 2 ),
array( 9, 8, 6, 6, 4, 3 ),
array( 9, 8, 6, 5, 5, 3 ),
array( 9, 8, 6, 5, 4, 4 ),
array( 9, 8, 5, 5, 5, 4 ),
array( 9, 7, 7, 7, 6, 0 ),
array( 9, 7, 7, 7, 5, 1 ),
array( 9, 7, 7, 7, 4, 2 ),
array( 9, 7, 7, 7, 3, 3 ),
array( 9, 7, 7, 6, 6, 1 ),
array( 9, 7, 7, 6, 5, 2 ),
array( 9, 7, 7, 6, 4, 3 ),
array( 9, 7, 7, 5, 5, 3 ),
array( 9, 7, 7, 5, 4, 4 ),
array( 9, 7, 6, 6, 6, 2 ),
array( 9, 7, 6, 6, 5, 3 ),
array( 9, 7, 6, 6, 4, 4 ),
array( 9, 7, 6, 5, 5, 4 ),
array( 9, 7, 5, 5, 5, 5 ),
array( 9, 6, 6, 6, 6, 3 ),
array( 9, 6, 6, 6, 5, 4 ),
array( 9, 6, 6, 5, 5, 5 ),
array( 8, 8, 8, 8, 4, 0 ),
array( 8, 8, 8, 8, 3, 1 ),
array( 8, 8, 8, 8, 2, 2 ),
array( 8, 8, 8, 7, 5, 0 ),
array( 8, 8, 8, 7, 4, 1 ),
array( 8, 8, 8, 7, 3, 2 ),
array( 8, 8, 8, 6, 6, 0 ),
array( 8, 8, 8, 6, 5, 1 ),
array( 8, 8, 8, 6, 4, 2 ),
array( 8, 8, 8, 6, 3, 3 ),
array( 8, 8, 8, 5, 5, 2 ),
array( 8, 8, 8, 5, 4, 3 ),
array( 8, 8, 8, 4, 4, 4 ),
array( 8, 8, 7, 7, 6, 0 ),
array( 8, 8, 7, 7, 5, 1 ),
array( 8, 8, 7, 7, 4, 2 ),
array( 8, 8, 7, 7, 3, 3 ),
array( 8, 8, 7, 6, 6, 1 ),
array( 8, 8, 7, 6, 5, 2 ),
array( 8, 8, 7, 6, 4, 3 ),
array( 8, 8, 7, 5, 5, 3 ),
array( 8, 8, 7, 5, 4, 4 ),
array( 8, 8, 6, 6, 6, 2 ),
array( 8, 8, 6, 6, 5, 3 ),
array( 8, 8, 6, 6, 4, 4 ),
array( 8, 8, 6, 5, 5, 4 ),
array( 8, 8, 5, 5, 5, 5 ),
array( 8, 7, 7, 7, 7, 0 ),
array( 8, 7, 7, 7, 6, 1 ),
array( 8, 7, 7, 7, 5, 2 ),
array( 8, 7, 7, 7, 4, 3 ),
array( 8, 7, 7, 6, 6, 2 ),
array( 8, 7, 7, 6, 5, 3 ),
array( 8, 7, 7, 6, 4, 4 ),
array( 8, 7, 7, 5, 5, 4 ),
array( 8, 7, 6, 6, 6, 3 ),
array( 8, 7, 6, 6, 5, 4 ),
array( 8, 7, 6, 5, 5, 5 ),
array( 8, 6, 6, 6, 6, 4 ),
array( 8, 6, 6, 6, 5, 5 ),
array( 7, 7, 7, 7, 7, 1 ),
array( 7, 7, 7, 7, 6, 2 ),
array( 7, 7, 7, 7, 5, 3 ),
array( 7, 7, 7, 7, 4, 4 ),
array( 7, 7, 7, 6, 6, 3 ),
array( 7, 7, 7, 6, 5, 4 ),
array( 7, 7, 7, 5, 5, 5 ),
array( 7, 7, 6, 6, 6, 4 ),
array( 7, 7, 6, 6, 5, 5 ),
array( 7, 6, 6, 6, 6, 5 ),
array( 6, 6, 6, 6, 6, 6 ),
);
https://stackoverflow.com/questions/11422953
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