【ZOJ3921 2016年浙大2月月赛G】【爆搜+智商贪心剪枝 好题】Guan Dan 2副牌取27张最少出光牌次数

Guan Dan

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Time Limit: 2 Seconds        Memory Limit: 65536 KB

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Bob is playing a poker game called GuanDan. The rules are similar to PaoDeKuai and DouDiZhu. Basically, the game is played on two decks of poker with four jokers in total. And there are some specific patterns of hands that you can play. They will be listed below.

Notation

• A card contains two characters
• The first character is its rank, the second character is its suit
• For an ordinary card, rank can be A, 2, 3, 4, 5, 6, 7, 8, 9, 0, J, Q, K (A for Ace, 0 for 10)
• J, Q, K can be taken as 11, 12, 13 respectively. Ace can be taken as either 1 or 14.
• Suit can be D, S, H, C (Diamond, Spade, Heart, Club)
• So there are 13 * 4 = 52 different ordinary cards
• Special cards: BJ, RJ (BJ for Black Joker, RJ for Red Joker)
• So all cards are [A-K][DSHC]*2 + BJ*2 + RJ*2, in total 108 cards.

Hands you can play

Hand	Description	Example(s)	Counter Example(s)	Difficulty
Solo	Any single card	AS (Spade A)	None	1
Pair	Two cards of the same rank	0D 0C (Diamond 10 and Club 10)	BJ RJ (Jokers of different colors doesn't count as the same rank)	1
Three Pairs	Three pairs with continuous rank	AH AS 2S 2H 3D 3C, QH QH KH KH AH AH	KH KH AH AH 2H 2H	1
Trio	Three cards of the same rank	AH AH AS, 9H 9S 9C	BJ BJ RJ	1
Full House	A composite of a Trio and a Pair	AH AH AS 2S 2H	None	1
Airplane	Two Trios with continuous rank	AH AH AD 2H 2H 2D, KH KH KD AH AH AD	None	1
Straight	Five cards with continuous rank	AH 2S 3H 4C 5H, 0C JD QH KH AS	JD QH KH AS 2S	1
Straight Flush	Five cards with continuous rank and the same suit	AH 2H 3H 4H 5H, 0H JH QH KH AH	QH KH AH 2H 3H	0
Bomb	Four or more cards of the same rank	5H 5H 5S 5S, 8H 8H 8S 8S 8C 8C 8D 8D	None	0

Clarification

• Jokers' rank is not continuous with ordinary cards
• RJs have the same rank, BJs have the same rank, but an RJ and a BJ do not have the same rank.
• Ranks being continuous means they form a sequence of natural numbers such that each number is 1 plus the number before it

Special rules

• There is a main rank for each game. It can only be one of A, 2, 3, ..., K.
• The two cards of the main rank with a Heart suit are wildcards.
• A wildcard can be used as any card except the jokers.

Goal

Your goal is to play your cards as fast as possible and win the game by first playing all of your cards. Therefore, Bob would like to know the least sum of difficulty value if he combine his cards into valid hands optimally.

Input

The first line is an integer of the number of test cases.

For each test case, the first line contains a character denoting the main rank (rank is in {'A', '2', '3', '4', '5', '6', '7', '8', '9', '0', 'J', 'Q', 'K'}). The second line contains 54 characters, two characters is a card. Format is the same as descripted in Notation section. Test cases are randomly "drawn" from random shuffled "decks".

Output

For each test case, output the minimum difficulty if you arrange the cards optimally into hands.

Sample Input

2
3
AD3D8H6HKCKS4DJC3H3C9H2C5H9SJD3CKH7CKCAH5H2C4C3SBJAC5S
6
KC0D4HKD6DJCKC2S8HADJD4D9C7SJH3SBJRJ2DQH5H8S9D5S0S2D5C

Sample Output

6
9

Hint

Here's one possible solution for sample 1 and sample 2.

Sample 1: 3H is a wildcard.

3H -> 3C
| AC AD AH 5H 5S || 3C 3D 3S JC JD || 9S || **KC KC KH KS** || BJ || 2C 2C 3C 3C 4C 4D || 5H 6H 7C 8H 9H |

KKKK is a bomb, it has difficulty 0. Others each have difficulty 1. Sum is 6.

Sample 2:

| 2D 2S || 4H || 5H 5S || JD JH KC KC KD || BJ || RJ || 8S 9D 0S JC QH || 6D 7S 8H 9C 0D || AD 2D 3S 4D 5C |

No bomb. Sum is 9.

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