Question E - Poker Hands

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

Your job is to compare several pairs of poker hands and to indicate which, if either, has a higher rank.

The Input

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."

The Output

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.