Card Game

Hint 1 of 9:

This puzzle is simply a matter of memory and concentration.

Hint 2 of 9:

You must be able to locate each of the playing cards after all of the
swapping is done.

Hint 3 of 9:

Each time the cards are swapped, the order is different.

Hint 4 of 9:

It might help to put it down on paper.

Hint 5 of 9:

Number the grid 1 thru 9 from left to right and top to bottom.  The first row
is 1 through 3; the second row, 4 through 6; and third row, 7 through 9. 
Then assign a specific card to each square as they are dealt.

Hint 6 of 9:

As the positions swap, quickly write down the numbered positions.

Hint 7 of 9:

For instance, put the Ace in position 1, the King in position 2, etc. with
the 2 card in the number 9 position (bottom right).

Hint 8 of 9:

As the cards switch, write down where they go by number. (K to 8; 10 to 3,
etc.)