Math Is Fun Forum

SCJedi

Guest

Need Help with a set of 10 numbers combination

My friend and I are working on a game, we have a deck building rule that says, your deck must contain 15 cards. All cards in the game currently are valued between 1 through 6. The other rule is that your total value of all cards in the deck cannot exceed 45. Since it is to a players advantage to have the highest overall value of cards in their decks I am looking for a way to list the combinations of 15 cards that add up to 43,44,or45, as a kind of cheat sheet for deck building. Also there is a 10 card deck with the same rules and values that needs a cheat sheet as well. Can anyone help me I'm just not sure how to aporoach this.

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Need Help with a set of 10 numbers combination

Hi;

There are 385, 409, and 433 respectively for 43, 44, and 45 card decks. That is a lot of decks, do you still want them all listed?

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

SCJedi

Member

Registered: 2016-09-06

Posts: 2

Re: Need Help with a set of 10 numbers combination

Thanks, I guess a list would not be helpful as there are too many combinations that meet the criteria. I appreciate the help

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Need Help with a set of 10 numbers combination

I will provide the lists anyway, please give me some time to prepare them in a somewhat readable fashion.

Here are all the ways to make 43:

{{6, 6, 6, 6, 6, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 3, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 2, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 5, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 6, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 5, 5, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 5, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 4, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{6, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{6, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 4, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{6, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{6, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{5, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 5, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 5, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 5, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{5, 5, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{5, 5, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{5, 5, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
{{4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
{{4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1}},
{{4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2}},
{{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1}},
{{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2}}

Here are all the ways to make a 44:

{{6, 6, 6, 6, 6, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 4, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 3, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 3, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 2, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 5, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 5, 5, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
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{{6, 6, 5, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
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{{6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{6, 6, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
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{{6, 6, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
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{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 5, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 5, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
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{{6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 5, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1}},
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{{6, 5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{6, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
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{{6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{6, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
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{{6, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
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{{6, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
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{{6, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
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{{6, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
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{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
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{{5, 5, 5, 5, 5, 5, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 5, 5, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 5, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 5, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 5, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 5, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{5, 5, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1}},
{{5, 5, 5, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1}},
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{{5, 5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{5, 5, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{5, 5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
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{{5, 5, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
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{{5, 5, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 4, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1}},
{{5, 5, 4, 4, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1}},
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{{5, 5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
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{{5, 5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
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{{5, 5, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{5, 5, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{5, 5, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{5, 5, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{5, 5, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{5, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{5, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{5, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
{{5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1}},
{{5, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2}},
{{4, 4, 4, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2}},
{{4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1}},
{{4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2}},
{{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2}}

Here are all the ways to make 45:

{{6, 6, 6, 6, 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 5, 2, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 4, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 4, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 3, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 6, 2, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 5, 3, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 5, 2, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 4, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 3, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 6, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 6, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 6, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 5, 5, 5, 4, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 5, 3, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 5, 2, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 4, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 3, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 5, 2, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 5, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 6, 4, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 6, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 6, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 5, 5, 5, 5, 1, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 4, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 3, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 3, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 5, 2, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 4, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 5, 3, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 5, 2, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 3, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 4, 2, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 4, 3, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 5, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 5, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 5, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 4, 4, 4, 4, 4, 2, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 4, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 4, 3, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 4, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 3, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 3, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 4, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 6, 5, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 5, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 4, 4, 4, 4, 4, 3, 1, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 4, 2, 2, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 3, 3, 2, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 3, 2, 2, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 4, 2, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 3, 3, 3, 1, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 3, 3, 2, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 3, 2, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 4, 4, 4, 2, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 4, 3, 3, 3, 3, 3, 2, 1, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 3, 3, 2, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 4, 4, 3, 3, 2, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 4, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1, 1}},
{{6, 6, 4, 4, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1, 1}},
{{6, 6, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1, 1}},
{{6, 6, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 1}},
{{6, 6, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2, 2}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 1}},
{{6, 6, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{6, 5, 5, 5, 5, 5, 5, 2, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 4, 3, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 4, 2, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 3, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 3, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 5, 2, 2, 2, 2, 2, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 4, 4, 1, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 4, 3, 2, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 4, 2, 2, 2, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 3, 3, 3, 1, 1, 1, 1, 1, 1}},
{{6, 5, 5, 5, 5, 4, 3, 3, 2, 2, 1, 1, 1, 1, 1}},
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{{4, 4, 4, 4, 4, 4, 3, 3, 3, 2, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 1, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 2, 2, 2, 1}},
{{4, 4, 4, 4, 4, 3, 3, 3, 3, 3, 2, 2, 2, 2, 2}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 1}},
{{4, 4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2, 2}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 1}},
{{4, 4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2, 2}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 1}},
{{4, 4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2, 2}},
{{4, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 2}},
{{3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3}}

Good luck and I can supply the 10 card one too. It will be shorter.

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

SCJedi

Member

Registered: 2016-09-06

Posts: 2

Re: Need Help with a set of 10 numbers combination

Thanks a bunch

bobbym

bumpkin

From: Bumpkinland

Registered: 2009-04-12

Posts: 109,606

Re: Need Help with a set of 10 numbers combination

Here are the 10 card hands.

Total to 43:

{{6, 6, 6, 6, 6, 6, 4, 1, 1, 1}},
{{6, 6, 6, 6, 6, 6, 3, 2, 1, 1}},
{{6, 6, 6, 6, 6, 6, 2, 2, 2, 1}},
{{6, 6, 6, 6, 6, 5, 5, 1, 1, 1}},
{{6, 6, 6, 6, 6, 5, 4, 2, 1, 1}},
{{6, 6, 6, 6, 6, 5, 3, 3, 1, 1}},
{{6, 6, 6, 6, 6, 5, 3, 2, 2, 1}},
{{6, 6, 6, 6, 6, 5, 2, 2, 2, 2}},
{{6, 6, 6, 6, 6, 4, 4, 3, 1, 1}},
{{6, 6, 6, 6, 6, 4, 4, 2, 2, 1}},
{{6, 6, 6, 6, 6, 4, 3, 3, 2, 1}},
{{6, 6, 6, 6, 6, 4, 3, 2, 2, 2}},
{{6, 6, 6, 6, 6, 3, 3, 3, 3, 1}},
{{6, 6, 6, 6, 6, 3, 3, 3, 2, 2}},
{{6, 6, 6, 6, 5, 5, 5, 2, 1, 1}},
{{6, 6, 6, 6, 5, 5, 4, 3, 1, 1}},
{{6, 6, 6, 6, 5, 5, 4, 2, 2, 1}},
{{6, 6, 6, 6, 5, 5, 3, 3, 2, 1}},
{{6, 6, 6, 6, 5, 5, 3, 2, 2, 2}},
{{6, 6, 6, 6, 5, 4, 4, 4, 1, 1}},
{{6, 6, 6, 6, 5, 4, 4, 3, 2, 1}},
{{6, 6, 6, 6, 5, 4, 4, 2, 2, 2}},
{{6, 6, 6, 6, 5, 4, 3, 3, 3, 1}},
{{6, 6, 6, 6, 5, 4, 3, 3, 2, 2}},
{{6, 6, 6, 6, 5, 3, 3, 3, 3, 2}},
{{6, 6, 6, 6, 4, 4, 4, 4, 2, 1}},
{{6, 6, 6, 6, 4, 4, 4, 3, 3, 1}},
{{6, 6, 6, 6, 4, 4, 4, 3, 2, 2}},
{{6, 6, 6, 6, 4, 4, 3, 3, 3, 2}},
{{6, 6, 6, 6, 4, 3, 3, 3, 3, 3}},
{{6, 6, 6, 5, 5, 5, 5, 3, 1, 1}},
{{6, 6, 6, 5, 5, 5, 5, 2, 2, 1}},
{{6, 6, 6, 5, 5, 5, 4, 4, 1, 1}},
{{6, 6, 6, 5, 5, 5, 4, 3, 2, 1}},
{{6, 6, 6, 5, 5, 5, 4, 2, 2, 2}},
{{6, 6, 6, 5, 5, 5, 3, 3, 3, 1}},
{{6, 6, 6, 5, 5, 5, 3, 3, 2, 2}},
{{6, 6, 6, 5, 5, 4, 4, 4, 2, 1}},
{{6, 6, 6, 5, 5, 4, 4, 3, 3, 1}},
{{6, 6, 6, 5, 5, 4, 4, 3, 2, 2}},
{{6, 6, 6, 5, 5, 4, 3, 3, 3, 2}},
{{6, 6, 6, 5, 5, 3, 3, 3, 3, 3}},
{{6, 6, 6, 5, 4, 4, 4, 4, 3, 1}},
{{6, 6, 6, 5, 4, 4, 4, 4, 2, 2}},
{{6, 6, 6, 5, 4, 4, 4, 3, 3, 2}},
{{6, 6, 6, 5, 4, 4, 3, 3, 3, 3}},
{{6, 6, 6, 4, 4, 4, 4, 4, 4, 1}},
{{6, 6, 6, 4, 4, 4, 4, 4, 3, 2}},
{{6, 6, 6, 4, 4, 4, 4, 3, 3, 3}},
{{6, 6, 5, 5, 5, 5, 5, 4, 1, 1}},
{{6, 6, 5, 5, 5, 5, 5, 3, 2, 1}},
{{6, 6, 5, 5, 5, 5, 5, 2, 2, 2}},
{{6, 6, 5, 5, 5, 5, 4, 4, 2, 1}},
{{6, 6, 5, 5, 5, 5, 4, 3, 3, 1}},
{{6, 6, 5, 5, 5, 5, 4, 3, 2, 2}},
{{6, 6, 5, 5, 5, 5, 3, 3, 3, 2}},
{{6, 6, 5, 5, 5, 4, 4, 4, 3, 1}},
{{6, 6, 5, 5, 5, 4, 4, 4, 2, 2}},
{{6, 6, 5, 5, 5, 4, 4, 3, 3, 2}},
{{6, 6, 5, 5, 5, 4, 3, 3, 3, 3}},
{{6, 6, 5, 5, 4, 4, 4, 4, 4, 1}},
{{6, 6, 5, 5, 4, 4, 4, 4, 3, 2}},
{{6, 6, 5, 5, 4, 4, 4, 3, 3, 3}},
{{6, 6, 5, 4, 4, 4, 4, 4, 4, 2}},
{{6, 6, 5, 4, 4, 4, 4, 4, 3, 3}},
{{6, 6, 4, 4, 4, 4, 4, 4, 4, 3}},
{{6, 5, 5, 5, 5, 5, 5, 5, 1, 1}},
{{6, 5, 5, 5, 5, 5, 5, 4, 2, 1}},
{{6, 5, 5, 5, 5, 5, 5, 3, 3, 1}},
{{6, 5, 5, 5, 5, 5, 5, 3, 2, 2}},
{{6, 5, 5, 5, 5, 5, 4, 4, 3, 1}},
{{6, 5, 5, 5, 5, 5, 4, 4, 2, 2}},
{{6, 5, 5, 5, 5, 5, 4, 3, 3, 2}},
{{6, 5, 5, 5, 5, 5, 3, 3, 3, 3}},
{{6, 5, 5, 5, 5, 4, 4, 4, 4, 1}},
{{6, 5, 5, 5, 5, 4, 4, 4, 3, 2}},
{{6, 5, 5, 5, 5, 4, 4, 3, 3, 3}},
{{6, 5, 5, 5, 4, 4, 4, 4, 4, 2}},
{{6, 5, 5, 5, 4, 4, 4, 4, 3, 3}},
{{6, 5, 5, 4, 4, 4, 4, 4, 4, 3}},
{{6, 5, 4, 4, 4, 4, 4, 4, 4, 4}},
{{5, 5, 5, 5, 5, 5, 5, 5, 2, 1}},
{{5, 5, 5, 5, 5, 5, 5, 4, 3, 1}},
{{5, 5, 5, 5, 5, 5, 5, 4, 2, 2}},
{{5, 5, 5, 5, 5, 5, 5, 3, 3, 2}},
{{5, 5, 5, 5, 5, 5, 4, 4, 4, 1}},
{{5, 5, 5, 5, 5, 5, 4, 4, 3, 2}},
{{5, 5, 5, 5, 5, 5, 4, 3, 3, 3}},
{{5, 5, 5, 5, 5, 4, 4, 4, 4, 2}},
{{5, 5, 5, 5, 5, 4, 4, 4, 3, 3}},
{{5, 5, 5, 5, 4, 4, 4, 4, 4, 3}},
{{5, 5, 5, 4, 4, 4, 4, 4, 4, 4}}

Total to 44:

{{6, 6, 6, 6, 6, 6, 5, 1, 1, 1}},
{{6, 6, 6, 6, 6, 6, 4, 2, 1, 1}},
{{6, 6, 6, 6, 6, 6, 3, 3, 1, 1}},
{{6, 6, 6, 6, 6, 6, 3, 2, 2, 1}},
{{6, 6, 6, 6, 6, 6, 2, 2, 2, 2}},
{{6, 6, 6, 6, 6, 5, 5, 2, 1, 1}},
{{6, 6, 6, 6, 6, 5, 4, 3, 1, 1}},
{{6, 6, 6, 6, 6, 5, 4, 2, 2, 1}},
{{6, 6, 6, 6, 6, 5, 3, 3, 2, 1}},
{{6, 6, 6, 6, 6, 5, 3, 2, 2, 2}},
{{6, 6, 6, 6, 6, 4, 4, 4, 1, 1}},
{{6, 6, 6, 6, 6, 4, 4, 3, 2, 1}},
{{6, 6, 6, 6, 6, 4, 4, 2, 2, 2}},
{{6, 6, 6, 6, 6, 4, 3, 3, 3, 1}},
{{6, 6, 6, 6, 6, 4, 3, 3, 2, 2}},
{{6, 6, 6, 6, 6, 3, 3, 3, 3, 2}},
{{6, 6, 6, 6, 5, 5, 5, 3, 1, 1}},
{{6, 6, 6, 6, 5, 5, 5, 2, 2, 1}},
{{6, 6, 6, 6, 5, 5, 4, 4, 1, 1}},
{{6, 6, 6, 6, 5, 5, 4, 3, 2, 1}},
{{6, 6, 6, 6, 5, 5, 4, 2, 2, 2}},
{{6, 6, 6, 6, 5, 5, 3, 3, 3, 1}},
{{6, 6, 6, 6, 5, 5, 3, 3, 2, 2}},
{{6, 6, 6, 6, 5, 4, 4, 4, 2, 1}},
{{6, 6, 6, 6, 5, 4, 4, 3, 3, 1}},
{{6, 6, 6, 6, 5, 4, 4, 3, 2, 2}},
{{6, 6, 6, 6, 5, 4, 3, 3, 3, 2}},
{{6, 6, 6, 6, 5, 3, 3, 3, 3, 3}},
{{6, 6, 6, 6, 4, 4, 4, 4, 3, 1}},
{{6, 6, 6, 6, 4, 4, 4, 4, 2, 2}},
{{6, 6, 6, 6, 4, 4, 4, 3, 3, 2}},
{{6, 6, 6, 6, 4, 4, 3, 3, 3, 3}},
{{6, 6, 6, 5, 5, 5, 5, 4, 1, 1}},
{{6, 6, 6, 5, 5, 5, 5, 3, 2, 1}},
{{6, 6, 6, 5, 5, 5, 5, 2, 2, 2}},
{{6, 6, 6, 5, 5, 5, 4, 4, 2, 1}},
{{6, 6, 6, 5, 5, 5, 4, 3, 3, 1}},
{{6, 6, 6, 5, 5, 5, 4, 3, 2, 2}},
{{6, 6, 6, 5, 5, 5, 3, 3, 3, 2}},
{{6, 6, 6, 5, 5, 4, 4, 4, 3, 1}},
{{6, 6, 6, 5, 5, 4, 4, 4, 2, 2}},
{{6, 6, 6, 5, 5, 4, 4, 3, 3, 2}},
{{6, 6, 6, 5, 5, 4, 3, 3, 3, 3}},
{{6, 6, 6, 5, 4, 4, 4, 4, 4, 1}},
{{6, 6, 6, 5, 4, 4, 4, 4, 3, 2}},
{{6, 6, 6, 5, 4, 4, 4, 3, 3, 3}},
{{6, 6, 6, 4, 4, 4, 4, 4, 4, 2}},
{{6, 6, 6, 4, 4, 4, 4, 4, 3, 3}},
{{6, 6, 5, 5, 5, 5, 5, 5, 1, 1}},
{{6, 6, 5, 5, 5, 5, 5, 4, 2, 1}},
{{6, 6, 5, 5, 5, 5, 5, 3, 3, 1}},
{{6, 6, 5, 5, 5, 5, 5, 3, 2, 2}},
{{6, 6, 5, 5, 5, 5, 4, 4, 3, 1}},
{{6, 6, 5, 5, 5, 5, 4, 4, 2, 2}},
{{6, 6, 5, 5, 5, 5, 4, 3, 3, 2}},
{{6, 6, 5, 5, 5, 5, 3, 3, 3, 3}},
{{6, 6, 5, 5, 5, 4, 4, 4, 4, 1}},
{{6, 6, 5, 5, 5, 4, 4, 4, 3, 2}},
{{6, 6, 5, 5, 5, 4, 4, 3, 3, 3}},
{{6, 6, 5, 5, 4, 4, 4, 4, 4, 2}},
{{6, 6, 5, 5, 4, 4, 4, 4, 3, 3}},
{{6, 6, 5, 4, 4, 4, 4, 4, 4, 3}},
{{6, 6, 4, 4, 4, 4, 4, 4, 4, 4}},
{{6, 5, 5, 5, 5, 5, 5, 5, 2, 1}},
{{6, 5, 5, 5, 5, 5, 5, 4, 3, 1}},
{{6, 5, 5, 5, 5, 5, 5, 4, 2, 2}},
{{6, 5, 5, 5, 5, 5, 5, 3, 3, 2}},
{{6, 5, 5, 5, 5, 5, 4, 4, 4, 1}},
{{6, 5, 5, 5, 5, 5, 4, 4, 3, 2}},
{{6, 5, 5, 5, 5, 5, 4, 3, 3, 3}},
{{6, 5, 5, 5, 5, 4, 4, 4, 4, 2}},
{{6, 5, 5, 5, 5, 4, 4, 4, 3, 3}},
{{6, 5, 5, 5, 4, 4, 4, 4, 4, 3}},
{{6, 5, 5, 4, 4, 4, 4, 4, 4, 4}},
{{5, 5, 5, 5, 5, 5, 5, 5, 3, 1}},
{{5, 5, 5, 5, 5, 5, 5, 5, 2, 2}},
{{5, 5, 5, 5, 5, 5, 5, 4, 4, 1}},
{{5, 5, 5, 5, 5, 5, 5, 4, 3, 2}},
{{5, 5, 5, 5, 5, 5, 5, 3, 3, 3}},
{{5, 5, 5, 5, 5, 5, 4, 4, 4, 2}},
{{5, 5, 5, 5, 5, 5, 4, 4, 3, 3}},
{{5, 5, 5, 5, 5, 4, 4, 4, 4, 3}},
{{5, 5, 5, 5, 4, 4, 4, 4, 4, 4}}

Total to 45:

{{6, 6, 6, 6, 6, 6, 6, 1, 1, 1}},
{{6, 6, 6, 6, 6, 6, 5, 2, 1, 1}},
{{6, 6, 6, 6, 6, 6, 4, 3, 1, 1}},
{{6, 6, 6, 6, 6, 6, 4, 2, 2, 1}},
{{6, 6, 6, 6, 6, 6, 3, 3, 2, 1}},
{{6, 6, 6, 6, 6, 6, 3, 2, 2, 2}},
{{6, 6, 6, 6, 6, 5, 5, 3, 1, 1}},
{{6, 6, 6, 6, 6, 5, 5, 2, 2, 1}},
{{6, 6, 6, 6, 6, 5, 4, 4, 1, 1}},
{{6, 6, 6, 6, 6, 5, 4, 3, 2, 1}},
{{6, 6, 6, 6, 6, 5, 4, 2, 2, 2}},
{{6, 6, 6, 6, 6, 5, 3, 3, 3, 1}},
{{6, 6, 6, 6, 6, 5, 3, 3, 2, 2}},
{{6, 6, 6, 6, 6, 4, 4, 4, 2, 1}},
{{6, 6, 6, 6, 6, 4, 4, 3, 3, 1}},
{{6, 6, 6, 6, 6, 4, 4, 3, 2, 2}},
{{6, 6, 6, 6, 6, 4, 3, 3, 3, 2}},
{{6, 6, 6, 6, 6, 3, 3, 3, 3, 3}},
{{6, 6, 6, 6, 5, 5, 5, 4, 1, 1}},
{{6, 6, 6, 6, 5, 5, 5, 3, 2, 1}},
{{6, 6, 6, 6, 5, 5, 5, 2, 2, 2}},
{{6, 6, 6, 6, 5, 5, 4, 4, 2, 1}},
{{6, 6, 6, 6, 5, 5, 4, 3, 3, 1}},
{{6, 6, 6, 6, 5, 5, 4, 3, 2, 2}},
{{6, 6, 6, 6, 5, 5, 3, 3, 3, 2}},
{{6, 6, 6, 6, 5, 4, 4, 4, 3, 1}},
{{6, 6, 6, 6, 5, 4, 4, 4, 2, 2}},
{{6, 6, 6, 6, 5, 4, 4, 3, 3, 2}},
{{6, 6, 6, 6, 5, 4, 3, 3, 3, 3}},
{{6, 6, 6, 6, 4, 4, 4, 4, 4, 1}},
{{6, 6, 6, 6, 4, 4, 4, 4, 3, 2}},
{{6, 6, 6, 6, 4, 4, 4, 3, 3, 3}},
{{6, 6, 6, 5, 5, 5, 5, 5, 1, 1}},
{{6, 6, 6, 5, 5, 5, 5, 4, 2, 1}},
{{6, 6, 6, 5, 5, 5, 5, 3, 3, 1}},
{{6, 6, 6, 5, 5, 5, 5, 3, 2, 2}},
{{6, 6, 6, 5, 5, 5, 4, 4, 3, 1}},
{{6, 6, 6, 5, 5, 5, 4, 4, 2, 2}},
{{6, 6, 6, 5, 5, 5, 4, 3, 3, 2}},
{{6, 6, 6, 5, 5, 5, 3, 3, 3, 3}},
{{6, 6, 6, 5, 5, 4, 4, 4, 4, 1}},
{{6, 6, 6, 5, 5, 4, 4, 4, 3, 2}},
{{6, 6, 6, 5, 5, 4, 4, 3, 3, 3}},
{{6, 6, 6, 5, 4, 4, 4, 4, 4, 2}},
{{6, 6, 6, 5, 4, 4, 4, 4, 3, 3}},
{{6, 6, 6, 4, 4, 4, 4, 4, 4, 3}},
{{6, 6, 5, 5, 5, 5, 5, 5, 2, 1}},
{{6, 6, 5, 5, 5, 5, 5, 4, 3, 1}},
{{6, 6, 5, 5, 5, 5, 5, 4, 2, 2}},
{{6, 6, 5, 5, 5, 5, 5, 3, 3, 2}},
{{6, 6, 5, 5, 5, 5, 4, 4, 4, 1}},
{{6, 6, 5, 5, 5, 5, 4, 4, 3, 2}},
{{6, 6, 5, 5, 5, 5, 4, 3, 3, 3}},
{{6, 6, 5, 5, 5, 4, 4, 4, 4, 2}},
{{6, 6, 5, 5, 5, 4, 4, 4, 3, 3}},
{{6, 6, 5, 5, 4, 4, 4, 4, 4, 3}},
{{6, 6, 5, 4, 4, 4, 4, 4, 4, 4}},
{{6, 5, 5, 5, 5, 5, 5, 5, 3, 1}},
{{6, 5, 5, 5, 5, 5, 5, 5, 2, 2}},
{{6, 5, 5, 5, 5, 5, 5, 4, 4, 1}},
{{6, 5, 5, 5, 5, 5, 5, 4, 3, 2}},
{{6, 5, 5, 5, 5, 5, 5, 3, 3, 3}},
{{6, 5, 5, 5, 5, 5, 4, 4, 4, 2}},
{{6, 5, 5, 5, 5, 5, 4, 4, 3, 3}},
{{6, 5, 5, 5, 5, 4, 4, 4, 4, 3}},
{{6, 5, 5, 5, 4, 4, 4, 4, 4, 4}},
{{5, 5, 5, 5, 5, 5, 5, 5, 4, 1}},
{{5, 5, 5, 5, 5, 5, 5, 5, 3, 2}},
{{5, 5, 5, 5, 5, 5, 5, 4, 4, 2}},
{{5, 5, 5, 5, 5, 5, 5, 4, 3, 3}},
{{5, 5, 5, 5, 5, 5, 4, 4, 4, 3}},
{{5, 5, 5, 5, 5, 4, 4, 4, 4, 4}}

---

In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.