Poker Hand Ranking

You are given a collection of poker hands. Each hand contains exactly five cards. Each card is represented by a two-character string, where the first character denotes the rank and the second character the suit. For example, '2H' stands for the 2 of Hearts and 'TH' stands for the Ten of Hearts.

Your task is to determine the ranking of each hand. The ranking categories are defined as follows:

• Straight Flush: All cards are of the same suit and the cards form a consecutive sequence.
• Four of a Kind: Four cards with the same rank.
• Full House: Three cards of one rank and two cards of another rank.
• Flush: All cards are of the same suit.
• Straight: The cards form a consecutive sequence.
• Three of a Kind: Three cards with the same rank.
• Two Pair: Two different pairs.
• One Pair: Two cards with the same rank.
• High Card: None of the above conditions are met.

It is guaranteed that the input hands are valid. Use the following rank conversion: \(2-9\) represent their respective numeric value, \(T = 10\), \(J = 11\), \(Q = 12\), \(K = 13\) and \(A = 14\).

inputFormat

The input is read from stdin and has the following format:

n
hand1
hand2
... 
handn

Here, n is an integer representing the number of poker hands, and each hand consists of exactly five cards separated by spaces.

outputFormat

For each hand provided in the input, output its ranking on a separate line to stdout.

## sample

1
2H 3D 5S 9C KD

High Card

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