so i broke the problem into 2 problem i think that this might be possible.
so 1 https://docs.google.com/spreadsheets/d/11GqvUjDHVbl05w-LkLpZ6OWWWyX4v0uo/edit?usp=sharing&ouid=102842103828562427147&rtpof=true&sd=true
proving that every even number is here
note: their is an algoritme (in the colour )in every column for example column a is 4/4/4/ b is 3/2/3/2/3 and every column has one
2 https://docs.google.com/spreadsheets/d/1NJ4RALu6jXOD67SJ38OLLtuBDRYqZccI/edit?usp=sharing&ouid=102842103828562427147&rtpof=true&sd=true
proving that when using the conjecture for every odd number leads to a number in the previous row i tested it for the first few number and you always get a number out of 1 row above but multiple rows above would also be good