Rules for Accordion

Begin with the complete deck in your hand. Make piles by dealing out cards 
face up in a row, left to right, one card to a pile. Any pile can be picked 
up and moved onto the pile to its left, or the pile third to its left, 
provided the top cards of the piles match in either suit or rank. You must 
move entire piles, never partial piles. When you move a pile in the middle of 
the row, leaving an empty space, just shift all the other piles in to fill 
it. The goal is to finish the game with all the cards in one pile.

There are no rules about when you must deal, or when you must move piles.  
When dealing, lay out as many new cards as you feel like working with. Then 
move them about until you're out of moves, or until you think you'd profit 
from dealing a few more new cards. If you like, you may lay out all 52 cards 
at once, then study the layout until you find the best possible solution.