# T-SQL Tuesday #114: A Puzzle

One of the main things a new cribbage player needs to learn is how to easily spot the combos that make ‘a 15’ (the ways to combine cards to add up to a numeric value of 15). Let’s do that with SQL!

It’s that time again! The 2nd Tuesday of the month, T-SQL Tuesday. This month’s invitation is on the lighter side, which is nice, and it comes from Matthew McGiffen (b | t). The theme is “Puzzle Party!” And I’m going to cheat, since it’s getting horribly late already and I’m lacking in inspiration.

So, I propose a puzzle! Which you must solve using SQL. Then I’ll post my own solution in a day or two. Bwahahaha.

I actually really wanted to do a Sudoku solver, but @SQLRnnr beat me to it. By a few years. =P   I might still work on that when I’m bored, just to have a standby for another blog post. Maybe we’ll compare notes.

But for now…

## Do You Even Cribbage, Bro?

If you’ve never heard of the card game cribbage, it might sound weird. When you read the rules, it sounds even weirder. Legend has it that it was invented by drunk Englishmen in a pub. Reality is actually not that far off. It’s also heavily played by Navy submariners, and that’s how it was passed down in my family.

There are already many great mobile & web versions of the game, and it will quickly become obvious to anyone who’s tried to program a card game before, that a query language like T-SQL is NOT suited (omg see what I did there?) to the task. However, we can probably come up with a small sub-task of the game that’s acceptable for our purposes.

Enter: the hand scorer. There’s a nice example of a finished product here. The input would be a set of 5 ‘cards’ — the ‘hand’ has 4, and the ‘cut’ adds 1 more, used as part of each player’s hand in scoring (like community property). A ‘card’ is simply an alphanumeric value — 1-10 plus JQK (which are ‘worth’ 10 for arithmetic, but can be used like normal for ‘straights’ aka ‘runs’) — and a ‘suit’ (heart, spade, diamond, club). Think for a moment on how you’d store that as a data structure.

The output, then, is a single numeric value, the ‘score’. But how do you score? You look for the following: combinations of any numeric values that add up to 15; pairs, 3-of-a-kinds, or 4-of-a-kinds; straights (suit does not matter); a flush, if all 4 ‘hand’ cards are the same suit (and a bonus point if the ‘cut’ card matches as well). And then there’s a funky thing where you get an extra point if you have a Jack that matches the suite of the ‘cut’ card. o_@

## Dude… What?

Wow, that sounds complicated, no? Let’s make it simpler. One of the main things a new cribbage player needs to learn is how to easily spot the combos that make ‘a 15′ (the ways to combine cards to add up to a numeric value of 15). For each ’15’ you make, you score 2 points. That sounds pretty feasible in SQL, right?

For starters, we don’t really care about suit anymore. But we do need some way to distinguish the cards from each other. This is a single-deck game, so you’re never going to have more than 4 of the same number; never more than one of the same card (like the Ace of Spaces). And when you’re counting combinations (or is it permutations?), you can’t use the same card twice. So let’s still use the suits for card distinction; I’ll just suffix the number with an ‘h’, ‘s’, ‘d’, or ‘c’.

We also don’t care about differentiating a 10 or J/Q/K, since they’re all just worth 10, numerically. So your ‘input’ can just consist of five numbers between 1 and 10. Cool? Just find the ’15’s!

Example:

• Your hand is 3h, 6s, 6d, 9c, and the ‘cut’ is 3c.
• Combos for ’15’: 6s+9c, 6d+9c, 3h+3c+9c, 3h+6s+6d, 3c+6s+6d.

That’s five unique combos, for a total of 10 points! Good job, that’s a bit better than average hand. In cribbage lingo, you’d say it like so: “fifteen two, fifteen four, fifteen six, fifteen eight, and fifteen ten.” Or if you’re playing with more experience, you’d abbreviate to simply “two four six eight ten”.

In “normal” programming land, we’d probably use a loop and some branching logic. What will we do in SQL? A loop, a cursor, or something more (or less!) elegant? You decide!

I’ll come up with something solution-y soon. Update: Solution posted! Enjoy! ❤