I am having problem in solving combination:
There is a list of numbers with their corresponding initial digit and final digit. EXAMPLE
['1,2,3,4'] where initial digit [1] final [4]
['1,3,2,4'] where initial digit [1] final [4]
['1,5,6,7'] where initial digit [1] final [7]
['2,6,8,7,4,5'] where initial digit [2] final [5]
['2,6,8,7,9,5'] where initial digit [2] final [5]
['2,6,8,7,3,5'] where initial digit [4] final [5]
['6,6,8,7,9'] where initial digit [6] final [9]
Length of list= 4 Because ['1,2,3,4'] and ['2,6,8,7,4,5'] are having similar 2 and 3 initial and final digit respectively.
Those number [''] where initial digit []and final digit [] are similar are assumed to be in a single group (CHILDREN). it means, by running combination, same numbers having similar initial digit and final digit can not be in the same combination.
EX: ['1,2,3,4'] is in same group with ['1,3,2,4'] because initial digit [1] and final digit[4] both are same. so these 2 never can be in same combination. similarly for ['2,6,8,7,4,5']and ['2,6,8,7,9,5'] and ['2,6,8,7,3,5'] where their initial digit [2] and final digit [5] are same.
if I run combination by default, Matlab either exceeds its memory or puts similar numbers in the same combination which is the reason computation memory exceeds. My set and subsets are as follow:
set = List of numbers
subset=length (set)
combination=?????
How can write a code so that in the loop, combination of set list (children) can be created, without similar list members in a single combination? probably writing code in terms of parallel computing is more efficient solution approach.
Regards
