Grouping data by sum, not sum based on group!

Hello all! I have searched for a way to even ask this, but I keep finding answers on how to sum data by groups. That is not what I'm looking for. The best way to explain what I need is with a sample data set. Let's say I have some numbers in a range: 1,2,3,3,3,4,4,5,5,6,8,9,9. I am looking for a way to find out how many groups of 10 (or near 10) this set can make. Each number in the set would only be used once.

1+9
2+8
3+3+4
4+6
5+5
3
9

So this set would result in 7. There are 5 full 10s, and the remaining 9 and 3 can't be matched with anything else, so they each get their own group. I am self-taught intermediate in Excel, and not afraid to turn to VBA if needed, I just don't really know where to start here. I'm figuring it will involve an array formula, which I have not had the occasion to use often. This is an extremely simplified version of what I am actually trying to do, but if somebody can get me this far I can figure out how to apply it to my actual issue. Thank you in advance for the assist!

Sorry it didn't seem clear, but thank you for the prompt response! I don't need anything moved or grouped. I don't need the numbers manipulated. What I need is a way to know how many "groups of 10" I can get out of that data set.
Here's another example:
I have a data set of 3,4,6,6,8,9,12
How many 12's can I get?

3+9 = 12
4+8 = 12
6+6 = 12
12 = 12

So the formula would return 4.

If the set had an extra number, say: 3,4,6,6,8,9,9,12
The formula would return 5. It found 4 groups that = exactly 12, plus one extra. The data set changes, so it probably will involve an array formula in some capacity. I hope this made it clearer!

Yes, those are simplified examples. The actual data set im working with is 4 columns by 15 rows (always in the same place). It is dynamically filled, with the minimum being one row (4 data points) and the maximum being the entire thing. The numbers can be from 1 to 144. Rows will always be filled together, that is, if there is an entry in A1, there will also be entries in B1:D1. It puts a 0 if there is no data, but I can change that to "" if a 0 would interfere. I have attached a sterile example with no formulas. I'm quite good at reverse engineering, I just don't have enough experience to even know how to start on this problem. Thanks for your help, it's so cool to have somebody interested in solving this!

Thank you for trying, at least.