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I have a multidimensional array, lets say it's consisting of arrays for groups of balls and then with the key as the number of the ball and then subkeys for color and size, something like what can be seen below (slightly simplified). If I want to select as many balls as possible, based on their size, but there has to be 1) at least one ball from each group and 2) the number of balls from each group multiplied with each other can't be more than lets say 20, and also 3) one of the groups has to have only one single ball selected (to maximize the number of balls selected in total). I know the basics about arrays and foreach loops and so on but how would I go about checking for these above mentioned limitations? Array( [Group1] => Array ( [1] => Array ( [color] => 'blue' [size] => 1.25 ) [2] => Array ( [color] => 'red' [size] => 1.59 ) [3] => Array ( [color] => 'red' [size] => 1.20 ) [4] => Array ( [color] => 'green' [size] => 1.91 ) [5] => Array ( [color] => 'blue' [size] => 1.73 ) ) [Group2] => Array ( [1] => Array ( [color] => 'red' [size] => 1.84 ) [2] => Array ( [color] => 'red' [size] => 1.21 ) [3] => Array ( [color] => 'green' [size] => 1.17 ) [4] => Array ( [color] => 'green' [size] => 1.46 ) [5] => Array ( [color] => 'blue' [size] => 1.70 ) ) [Group3] => Array ( [1] => Array ( [color] => 'red' [size] => 1.04 ) [2] => Array ( [color] => 'yellow' [size] => 1.99 ) [3] => Array ( [color] => 'orange' [size] => 1.07 ) [4] => Array ( [color] => 'blue' [size] => 1.12 ) [5] => Array ( [color] => 'blue' [size] => 1.18 ) ) [Group4] => Array ( [1] => Array ( [color] => 'blue' [size] => 1.66 ) [2] => Array ( [color] => 'blue' [size] => 1.24 ) [3] => Array ( [color] => 'blue' [size] => 1.45 ) [4] => Array ( [color] => 'blue' [size] => 1.42 ) [5] => Array ( [color] => 'red' [size] => 1.38 ) ))