Badugi Poker

There are 30 playing cards. The front of each card shows a natural number from 1 to 15, and the back is either black or white.

A card is written with its number in hexadecimal and its color as b or w. For example, the 15 with a white back is written as fw.

Cards are paired up two at a time to play a simplified poker game. The ranks are defined as follows.

1. Consecutive numbers (1 and f are consecutive.)
2. Equal numbers
3. Anything else

Within the same rank, further ranking is determined as follows.

1. The pair with matching colors
2. The larger high card
3. The larger low card
4. The black high card

Comparisons use the ranks above, and the next criterion is consulted only when the previous criterion does not decide the order.

Given 6 distinct cards, print every pair that can be formed from them in rank order. The order of the two cards in a pair follows the order in which the cards are given in the input.

The first line gives 6 arbitrary cards. The cards are separated by ',', and no card is given more than once.

Print every possible card pair in rank order, one per line.