samwell-tarlys-cards
Source: hackerearth
Difficulty: UNKNOWN_DIFFICULTY

Samwell is bored while going to his medical school in Oldtown. He has a deck of cards that John had gifted him. He starts to play the following game.
The rules for his game is simple.

He deals cards one by one in a row from left to right. He does not overlap his cards. Whenever the card matches its immediate neighbour on the left, 
or matches the third card to the left, he may move it onto that card. He can match the cards if they are of the same suit or same number.

After making a move, Samwell looks to see if it has made additional moves possible. He can move only the top card of each pile at any given time. 
He must close up the gaps between piles as soon as they appear by moving all piles on the right of the gap one position to the left. 
He has to deal out the whole pack, combining cards towards the left whenever possible. He wins the game if the pack is reduced to a single pile. 

Sometimes Samwell has more than one play that is possible. 
Where two cards may be moved, He adopts the strategy of always moving the leftmost card possible.

Input:

Input data to the program specifies the order in which cards are dealt from the pack.

The input contains pairs of lines, each line containing 26 cards separated by single space characters. 

The final line of the input file contains a # as its first character. 

Cards are represented as a two character code. The first character is the face-value (A=Ace, 2-9, T=10, J=Jack, Q=Queen, K=King) 
and the second character is the suit (C=Clubs, D=Diamonds, H=Hearts, S=Spades).

There will be at most 10 test cases.

Output:

One line of output must be produced for each pair of lines (that between them describe a pack of 52 cards) in the input.

First Number denotes number of piles and rest of output shows the number of cards in each of the pile remaining after playing the game with 
the pack of cards as described by the corresponding pairs of input lines.

Note: Samwell suggests you to play this game.

SAMPLE INPUT
QD AD 8H 5S 3H 5H TC 4D JH KS 6H 8S JS AC AS 8D 2H QS TS 3S AH 4H TH TD 3C 6S
8C 7D 4C 4S 7S 9H 7C 5D 2S KD 2D QH JD 6D 9D JC 2C KH 3D QC 6C 9S KC 7H 9C 5C
AC 2C 3C 4C 5C 6C 7C 8C 9C TC JC QC KC AD 2D 3D 4D 5D 6D 7D 8D TD 9D JD QD KD
AH 2H 3H 4H 5H 6H 7H 8H 9H KH 6S QH TH AS 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS
#

SAMPLE OUTPUT
6 40 8 1 1 1 1
1 52

Explanation

Simulation of 2nd test case:

Firstly, he moves 2C to AC, then 3C to 2C and so on till:

Pile1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC 

Other Piles: AD 2D 3D 4D 5D 6D 7D 8D TD 9D JD QD KD
AH 2H 3H 4H 5H 6H 7H 8H 9H KH 6S QH TH AS 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS

He does the same thing with the diamonds

Pile1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC 

Pile 2: AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD

Cards to be dealt: AH 2H 3H 4H 5H 6H 7H 8H 9H KH 6S QH TH AS 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS

Now he moves Pile of KD to KC

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD

Cards to be dealt: AH 2H 3H 4H 5H 6H 7H 8H 9H KH 6S QH TH AS 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS

Next Move, Pile up all the Hearts and put it to KD pile

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH 

Cards to be dealt: 6S QH TH AS 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS

Next he moves TH to KH pile

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH,TH 

Other Piles: 6S QH AS

Cards to be dealt: 2S 3S 4S 5S JH 7S 8S 9S TS JS QS KS 

Next he moves 2S to 6S (Note that he didn't move it to AS), 3S to 2S and so on:

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH,TH 

Pile 2: 6S,2S,3S,4S,5S,QH  

Pile 3: AS  

Cards to be dealt: JH 7S 8S 9S TS JS QS KS 

Next Move JH to TH and QH pile to JH

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH,TH,JH,6S,2S,3S,4S,5S,QH 

Pile 2: AS 

Cards to be dealt: 7S 8S 9S TS JS QS KS 

Next he groups all Spades till QS

Pile 1: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH,TH,JH,6S,2S,3S,4S,5S,QH 

Pile 2: AS,7S,8S,9S,TS,JS,QS 

Cards to be dealt: KS

After this he will move pile of QS to QH and KS to QS

Final Pile: AC,2C,3C,4C,5C,6C,7C,8C,9C,TC,JC,QC,KC,AD,2D,3D,4D,5D,6D,7D,8D,TD,9D,JD,QD,KD,
AH,2H,3H,4H,5H,6H,7H,8H,9H,KH,TH,JH,6S,2S,3S,4S,5S,QH,AS,7S,8S,9S,TS,JS,QS,KS