Poker Hands
Time Limit: 2 Seconds
Memory Limit: 65536 KB
A poker deck contains 52 cards  each card has a suit which is one of
clubs, diamonds, hearts, or spades (denoted C, D, H, S in the input data).
Each card also has a value which is one of 2, 3, 4, 5, 6, 7, 8, 9, 10,
jack, queen, king, ace (denoted 2, 3, 4, 5, 6, 7, 8, 9, T, J, Q, K, A).
For scoring purposes, the suits are unordered while the values are
ordered as given above, with 2 being the lowest and ace the highest value.
A poker hand consists of 5 cards dealt from the deck. Poker hands are
ranked by the following partial order from lowest to highest

High Card. Hands which do not fit any higher category are ranked by
the value of their highest card. If the highest cards have
the same value, the hands are ranked by the next highest,
and so on.

Pair. 2 of the 5 cards in the hand have the same value. Hands which
both contain a pair are ranked by the value of the cards forming
the pair. If these values are the same, the hands are ranked
by the values of the cards not forming the pair, in decreasing
order.

Two Pairs. The hand contains 2 different pairs. Hands which both
contain 2 pairs are ranked by the value of their highest
pair. Hands with the same highest pair are ranked by
the value of their other pair. If these values are the same
the hands are ranked by the value of the remaining card.

Three of a Kind. Three of the cards in the hand have the same value.
Hands which both contain three of a kind are ranked
by the value of the 3 cards.

Straight. Hand contains 5 cards with consecutive values. Hands which
both contain a straight are ranked by their highest card.

Flush. Hand contains 5 cards of the same suit. Hands which are both
flushes are ranked using the rules for High Card.

Full House. 3 cards of the same value, with the remaining 2 cards forming
a pair. Ranked by the value of the 3 cards.

Four of a kind. 4 cards with the same value. Ranked by the value of
the 4 cards.

Straight flush. 5 cards of the same suit with consecutive values. Ranked
by the highest card in the hand.
Your job is to compare several pairs of poker hands and to indicate which,
if either, has a higher rank.
Input Specification
Several lines, each containing the designation of 10 cards: the first
5 cards are the hand for the player named "Black" and the next 5 cards
are the hand for the player named "White."
Output Specification
For each line of input, print a line containing one of:
Black wins.
White wins.
Tie.
Sample Input
2H 3D 5S 9C KD 2C 3H 4S 8C AH
2H 4S 4C 2D 4H 2S 8S AS QS 3S
2H 3D 5S 9C KD 2C 3H 4S 8C KH
2H 3D 5S 9C KD 2D 3H 5C 9S KH
Sample Output
White wins.
Black wins.
Black wins.
Tie.
Source:
University of Waterloo Local Contest 1998.06.06
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