Wizzuriz Posted May 5, 2013 Share Posted May 5, 2013 Hello all, I would like to hear if there is someone here that can help me figure out how to do this. I have an array with some values in example: array(7.50, 9, 4.50, 6.50, 3.75); now I would like to distribute them to 3 other arrays and get the values in each of the new arrays so close to the average of the first array values. I get the average to 10.416666666667 so a cool result could be: array_1(9), array_2(4.5, 6.50) & array_3(7.50, 3.75). I really don't know how to do this. Please let me know if you have an idea on how to solve this. Best regards Wizzuriz Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/ Share on other sites More sharing options...
Barand Posted May 5, 2013 Share Posted May 5, 2013 I am curious about how you get an average that is greater than all the values in the array Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428355 Share on other sites More sharing options...
requinix Posted May 5, 2013 Share Posted May 5, 2013 He calculated the "average" to be over the number of arrays, not the number of inputs. (7.50 + 9 + 4.50 + 6.50 + 3.75) / 3 arrays = ~10.42 per array Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428361 Share on other sites More sharing options...
davidannis Posted May 5, 2013 Share Posted May 5, 2013 Looks like this is a very hard problem that short of a brute force algorithm can not be definitively solved. http://en.wikipedia.org/wiki/3-partition_problem Pseudocode for an approximation of the optimal solution for dividing into two arrays (the greedy algorithm) that you could adapt to an n array solution is available here. http://en.wikipedia.org/wiki/Partition_problem Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428438 Share on other sites More sharing options...
Wizzuriz Posted May 6, 2013 Author Share Posted May 6, 2013 Looks like this is a very hard problem that short of a brute force algorithm can not be definitively solved. http://en.wikipedia.org/wiki/3-partition_problem Pseudocode for an approximation of the optimal solution for dividing into two arrays (the greedy algorithm) that you could adapt to an n array solution is available here. http://en.wikipedia.org/wiki/Partition_problem Thanks for the post, very nice stuff. I don't need it to be definitively solved, I just need to distribute the values from the main array into 3 other arrays with a sum near the average. Example. Main_Array(7.50, 9, 4.50, 6.50, 3.75) solved into array_1(7.50,3.75) array_2(9)array_3(6.50,4.50) The sum don't need to be 100 match just evenly distributed +/- some value. If you have an example of some php code with a method to solved this please let me know. Best regards Wizzuriz Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428516 Share on other sites More sharing options...
Barand Posted May 6, 2013 Share Posted May 6, 2013 A point of clarification - Is the problem to distribute 5 values over 3 arrays? or Is the problem more general to distribute P values over Q arrays? Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428557 Share on other sites More sharing options...
Wizzuriz Posted May 6, 2013 Author Share Posted May 6, 2013 A point of clarification - Is the problem to distribute 5 values over 3 arrays? or Is the problem more general to distribute P values over Q arrays? The problem is to distribute P values over Q arrays. Now with the numbers in the example we can't distribute them 100 evenly so the goal is to distribute them as evenly as possible. * WIzzuriz Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428576 Share on other sites More sharing options...
davidannis Posted May 7, 2013 Share Posted May 7, 2013 WIzzuriz, I'm pretty sure this is a homework assignment and not an easy one. If you take a stab at it using the any of the pseudocode algorithms I pointed you to i'll help debug and improve it, but I won't write it for you. Link to comment https://forums.phpfreaks.com/topic/277643-distribution-of-numbers-hard-one/#findComment-1428738 Share on other sites More sharing options...
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