This puzzle can be solved logically, or you can use an exhaustive search (see card_puzzle.m).
___
| |
| K |
|___|
___ ___ ___
| | | | | |
| Q | | J | | Q |
|___| |___| |___|
___ ___ ___
| | | | | |
| A | | K | | J |
|___| |___| |___|
___
| |
| A |
|___|