Generators and Iterators
Contents
Generators and Iterators#
Click here to run this chapter on Colab
This chapter introduces generator functions, which are functions that yield a stream of values, rather than returning a single value.
To demonstrate their use, we’ll explore Cartesian products, permutations, and combinations, using playing cards as an example.
Generators#
As a first example, we’ll write a generator function that generates the playing cards in a standard 52-card deck. This example is inspired by an example in Peter Norvig’s “A Concrete Introduction to Probability (using Python)”.
Here are Unicode strings that represent the set of suits and the set of ranks.
suits = u'♠♥♦♣'
ranks = u'AKQJ⑽98765432'
And here’s a nested for loop that enumerates all pairings of a rank with a suit.
for rank in ranks:
for suit in suits:
print(rank+suit, end=' ')
A♠ A♥ A♦ A♣ K♠ K♥ K♦ K♣ Q♠ Q♥ Q♦ Q♣ J♠ J♥ J♦ J♣ ⑽♠ ⑽♥ ⑽♦ ⑽♣ 9♠ 9♥ 9♦ 9♣ 8♠ 8♥ 8♦ 8♣ 7♠ 7♥ 7♦ 7♣ 6♠ 6♥ 6♦ 6♣ 5♠ 5♥ 5♦ 5♣ 4♠ 4♥ 4♦ 4♣ 3♠ 3♥ 3♦ 3♣ 2♠ 2♥ 2♦ 2♣
This set of pairs is the Cartesian product of the set of ranks and the set of suits.
The following function encapsulates the loops and uses the yield statement to generate a stream of cards.
def card_generator(ranks, suits):
for rank in ranks:
for suit in suits:
yield rank+suit
Because this function includes a yield statement, it is a generator function. When we call it, the return value is a generator object.
it = card_generator(ranks, suits)
it
<generator object card_generator at 0x7f0ca3b9e110>
The generator object is iterable, so we can use next to get the first element of the stream.
next(it)
'A♠'
The first time we call next, the function runs until it hits the yield statement.
If we call next again, the function resumes from where it left off and runs until it hits the yield statement again.
next(it)
'A♥'
Because it is iterable, we can use it in a for loop to enumerate the remaining pairs.
for card in it:
print(card, end=' ')
A♦ A♣ K♠ K♥ K♦ K♣ Q♠ Q♥ Q♦ Q♣ J♠ J♥ J♦ J♣ ⑽♠ ⑽♥ ⑽♦ ⑽♣ 9♠ 9♥ 9♦ 9♣ 8♠ 8♥ 8♦ 8♣ 7♠ 7♥ 7♦ 7♣ 6♠ 6♥ 6♦ 6♣ 5♠ 5♥ 5♦ 5♣ 4♠ 4♥ 4♦ 4♣ 3♠ 3♥ 3♦ 3♣ 2♠ 2♥ 2♦ 2♣
When the flow of control reaches the end of the function, the generator object raises and exception, which causes the for loop to end.
itertools#
The itertools library provides function for working with iterators, including product, which is a generator function that takes iterators as arguments at yields their Cartesian product.
We’ll use itertools.product in the next few sections; then we’ll see how to implement it.
Here’s a loop that uses itertools.product to generate the playing cards again.
from itertools import product
for t in product(ranks, suits):
card = ''.join(t)
print(card, end=' ')
A♠ A♥ A♦ A♣ K♠ K♥ K♦ K♣ Q♠ Q♥ Q♦ Q♣ J♠ J♥ J♦ J♣ ⑽♠ ⑽♥ ⑽♦ ⑽♣ 9♠ 9♥ 9♦ 9♣ 8♠ 8♥ 8♦ 8♣ 7♠ 7♥ 7♦ 7♣ 6♠ 6♥ 6♦ 6♣ 5♠ 5♥ 5♦ 5♣ 4♠ 4♥ 4♦ 4♣ 3♠ 3♥ 3♦ 3♣ 2♠ 2♥ 2♦ 2♣
Exercise: Encapsulate the previous loop in a generator function called card_generator2 that yields the playing cards. Then call your function and use it to print the cards.
Enumerating all pairs#
Now that we have playing cards, let’s deal a few hands. In fact, let’s deal all the hands.
First, I’ll create two card generators.
it1 = card_generator(ranks, suits)
it2 = card_generator(ranks, suits)
Now we can use product to generate all pairs of cards.
for hand in product(it1, it2):
print(hand)
('A♠', 'A♠')
('A♠', 'A♥')
('A♠', 'A♦')
('A♠', 'A♣')
('A♠', 'K♠')
('A♠', 'K♥')
('A♠', 'K♦')
('A♠', 'K♣')
('A♠', 'Q♠')
('A♠', 'Q♥')
('A♠', 'Q♦')
('A♠', 'Q♣')
('A♠', 'J♠')
('A♠', 'J♥')
('A♠', 'J♦')
('A♠', 'J♣')
('A♠', '⑽♠')
('A♠', '⑽♥')
('A♠', '⑽♦')
('A♠', '⑽♣')
('A♠', '9♠')
('A♠', '9♥')
('A♠', '9♦')
('A♠', '9♣')
('A♠', '8♠')
('A♠', '8♥')
('A♠', '8♦')
('A♠', '8♣')
('A♠', '7♠')
('A♠', '7♥')
('A♠', '7♦')
('A♠', '7♣')
('A♠', '6♠')
('A♠', '6♥')
('A♠', '6♦')
('A♠', '6♣')
('A♠', '5♠')
('A♠', '5♥')
('A♠', '5♦')
('A♠', '5♣')
('A♠', '4♠')
('A♠', '4♥')
('A♠', '4♦')
('A♠', '4♣')
('A♠', '3♠')
('A♠', '3♥')
('A♠', '3♦')
('A♠', '3♣')
('A♠', '2♠')
('A♠', '2♥')
('A♠', '2♦')
('A♠', '2♣')
('A♥', 'A♠')
('A♥', 'A♥')
('A♥', 'A♦')
('A♥', 'A♣')
('A♥', 'K♠')
('A♥', 'K♥')
('A♥', 'K♦')
('A♥', 'K♣')
('A♥', 'Q♠')
('A♥', 'Q♥')
('A♥', 'Q♦')
('A♥', 'Q♣')
('A♥', 'J♠')
('A♥', 'J♥')
('A♥', 'J♦')
('A♥', 'J♣')
('A♥', '⑽♠')
('A♥', '⑽♥')
('A♥', '⑽♦')
('A♥', '⑽♣')
('A♥', '9♠')
('A♥', '9♥')
('A♥', '9♦')
('A♥', '9♣')
('A♥', '8♠')
('A♥', '8♥')
('A♥', '8♦')
('A♥', '8♣')
('A♥', '7♠')
('A♥', '7♥')
('A♥', '7♦')
('A♥', '7♣')
('A♥', '6♠')
('A♥', '6♥')
('A♥', '6♦')
('A♥', '6♣')
('A♥', '5♠')
('A♥', '5♥')
('A♥', '5♦')
('A♥', '5♣')
('A♥', '4♠')
('A♥', '4♥')
('A♥', '4♦')
('A♥', '4♣')
('A♥', '3♠')
('A♥', '3♥')
('A♥', '3♦')
('A♥', '3♣')
('A♥', '2♠')
('A♥', '2♥')
('A♥', '2♦')
('A♥', '2♣')
('A♦', 'A♠')
('A♦', 'A♥')
('A♦', 'A♦')
('A♦', 'A♣')
('A♦', 'K♠')
('A♦', 'K♥')
('A♦', 'K♦')
('A♦', 'K♣')
('A♦', 'Q♠')
('A♦', 'Q♥')
('A♦', 'Q♦')
('A♦', 'Q♣')
('A♦', 'J♠')
('A♦', 'J♥')
('A♦', 'J♦')
('A♦', 'J♣')
('A♦', '⑽♠')
('A♦', '⑽♥')
('A♦', '⑽♦')
('A♦', '⑽♣')
('A♦', '9♠')
('A♦', '9♥')
('A♦', '9♦')
('A♦', '9♣')
('A♦', '8♠')
('A♦', '8♥')
('A♦', '8♦')
('A♦', '8♣')
('A♦', '7♠')
('A♦', '7♥')
('A♦', '7♦')
('A♦', '7♣')
('A♦', '6♠')
('A♦', '6♥')
('A♦', '6♦')
('A♦', '6♣')
('A♦', '5♠')
('A♦', '5♥')
('A♦', '5♦')
('A♦', '5♣')
('A♦', '4♠')
('A♦', '4♥')
('A♦', '4♦')
('A♦', '4♣')
('A♦', '3♠')
('A♦', '3♥')
('A♦', '3♦')
('A♦', '3♣')
('A♦', '2♠')
('A♦', '2♥')
('A♦', '2♦')
('A♦', '2♣')
('A♣', 'A♠')
('A♣', 'A♥')
('A♣', 'A♦')
('A♣', 'A♣')
('A♣', 'K♠')
('A♣', 'K♥')
('A♣', 'K♦')
('A♣', 'K♣')
('A♣', 'Q♠')
('A♣', 'Q♥')
('A♣', 'Q♦')
('A♣', 'Q♣')
('A♣', 'J♠')
('A♣', 'J♥')
('A♣', 'J♦')
('A♣', 'J♣')
('A♣', '⑽♠')
('A♣', '⑽♥')
('A♣', '⑽♦')
('A♣', '⑽♣')
('A♣', '9♠')
('A♣', '9♥')
('A♣', '9♦')
('A♣', '9♣')
('A♣', '8♠')
('A♣', '8♥')
('A♣', '8♦')
('A♣', '8♣')
('A♣', '7♠')
('A♣', '7♥')
('A♣', '7♦')
('A♣', '7♣')
('A♣', '6♠')
('A♣', '6♥')
('A♣', '6♦')
('A♣', '6♣')
('A♣', '5♠')
('A♣', '5♥')
('A♣', '5♦')
('A♣', '5♣')
('A♣', '4♠')
('A♣', '4♥')
('A♣', '4♦')
('A♣', '4♣')
('A♣', '3♠')
('A♣', '3♥')
('A♣', '3♦')
('A♣', '3♣')
('A♣', '2♠')
('A♣', '2♥')
('A♣', '2♦')
('A♣', '2♣')
('K♠', 'A♠')
('K♠', 'A♥')
('K♠', 'A♦')
('K♠', 'A♣')
('K♠', 'K♠')
('K♠', 'K♥')
('K♠', 'K♦')
('K♠', 'K♣')
('K♠', 'Q♠')
('K♠', 'Q♥')
('K♠', 'Q♦')
('K♠', 'Q♣')
('K♠', 'J♠')
('K♠', 'J♥')
('K♠', 'J♦')
('K♠', 'J♣')
('K♠', '⑽♠')
('K♠', '⑽♥')
('K♠', '⑽♦')
('K♠', '⑽♣')
('K♠', '9♠')
('K♠', '9♥')
('K♠', '9♦')
('K♠', '9♣')
('K♠', '8♠')
('K♠', '8♥')
('K♠', '8♦')
('K♠', '8♣')
('K♠', '7♠')
('K♠', '7♥')
('K♠', '7♦')
('K♠', '7♣')
('K♠', '6♠')
('K♠', '6♥')
('K♠', '6♦')
('K♠', '6♣')
('K♠', '5♠')
('K♠', '5♥')
('K♠', '5♦')
('K♠', '5♣')
('K♠', '4♠')
('K♠', '4♥')
('K♠', '4♦')
('K♠', '4♣')
('K♠', '3♠')
('K♠', '3♥')
('K♠', '3♦')
('K♠', '3♣')
('K♠', '2♠')
('K♠', '2♥')
('K♠', '2♦')
('K♠', '2♣')
('K♥', 'A♠')
('K♥', 'A♥')
('K♥', 'A♦')
('K♥', 'A♣')
('K♥', 'K♠')
('K♥', 'K♥')
('K♥', 'K♦')
('K♥', 'K♣')
('K♥', 'Q♠')
('K♥', 'Q♥')
('K♥', 'Q♦')
('K♥', 'Q♣')
('K♥', 'J♠')
('K♥', 'J♥')
('K♥', 'J♦')
('K♥', 'J♣')
('K♥', '⑽♠')
('K♥', '⑽♥')
('K♥', '⑽♦')
('K♥', '⑽♣')
('K♥', '9♠')
('K♥', '9♥')
('K♥', '9♦')
('K♥', '9♣')
('K♥', '8♠')
('K♥', '8♥')
('K♥', '8♦')
('K♥', '8♣')
('K♥', '7♠')
('K♥', '7♥')
('K♥', '7♦')
('K♥', '7♣')
('K♥', '6♠')
('K♥', '6♥')
('K♥', '6♦')
('K♥', '6♣')
('K♥', '5♠')
('K♥', '5♥')
('K♥', '5♦')
('K♥', '5♣')
('K♥', '4♠')
('K♥', '4♥')
('K♥', '4♦')
('K♥', '4♣')
('K♥', '3♠')
('K♥', '3♥')
('K♥', '3♦')
('K♥', '3♣')
('K♥', '2♠')
('K♥', '2♥')
('K♥', '2♦')
('K♥', '2♣')
('K♦', 'A♠')
('K♦', 'A♥')
('K♦', 'A♦')
('K♦', 'A♣')
('K♦', 'K♠')
('K♦', 'K♥')
('K♦', 'K♦')
('K♦', 'K♣')
('K♦', 'Q♠')
('K♦', 'Q♥')
('K♦', 'Q♦')
('K♦', 'Q♣')
('K♦', 'J♠')
('K♦', 'J♥')
('K♦', 'J♦')
('K♦', 'J♣')
('K♦', '⑽♠')
('K♦', '⑽♥')
('K♦', '⑽♦')
('K♦', '⑽♣')
('K♦', '9♠')
('K♦', '9♥')
('K♦', '9♦')
('K♦', '9♣')
('K♦', '8♠')
('K♦', '8♥')
('K♦', '8♦')
('K♦', '8♣')
('K♦', '7♠')
('K♦', '7♥')
('K♦', '7♦')
('K♦', '7♣')
('K♦', '6♠')
('K♦', '6♥')
('K♦', '6♦')
('K♦', '6♣')
('K♦', '5♠')
('K♦', '5♥')
('K♦', '5♦')
('K♦', '5♣')
('K♦', '4♠')
('K♦', '4♥')
('K♦', '4♦')
('K♦', '4♣')
('K♦', '3♠')
('K♦', '3♥')
('K♦', '3♦')
('K♦', '3♣')
('K♦', '2♠')
('K♦', '2♥')
('K♦', '2♦')
('K♦', '2♣')
('K♣', 'A♠')
('K♣', 'A♥')
('K♣', 'A♦')
('K♣', 'A♣')
('K♣', 'K♠')
('K♣', 'K♥')
('K♣', 'K♦')
('K♣', 'K♣')
('K♣', 'Q♠')
('K♣', 'Q♥')
('K♣', 'Q♦')
('K♣', 'Q♣')
('K♣', 'J♠')
('K♣', 'J♥')
('K♣', 'J♦')
('K♣', 'J♣')
('K♣', '⑽♠')
('K♣', '⑽♥')
('K♣', '⑽♦')
('K♣', '⑽♣')
('K♣', '9♠')
('K♣', '9♥')
('K♣', '9♦')
('K♣', '9♣')
('K♣', '8♠')
('K♣', '8♥')
('K♣', '8♦')
('K♣', '8♣')
('K♣', '7♠')
('K♣', '7♥')
('K♣', '7♦')
('K♣', '7♣')
('K♣', '6♠')
('K♣', '6♥')
('K♣', '6♦')
('K♣', '6♣')
('K♣', '5♠')
('K♣', '5♥')
('K♣', '5♦')
('K♣', '5♣')
('K♣', '4♠')
('K♣', '4♥')
('K♣', '4♦')
('K♣', '4♣')
('K♣', '3♠')
('K♣', '3♥')
('K♣', '3♦')
('K♣', '3♣')
('K♣', '2♠')
('K♣', '2♥')
('K♣', '2♦')
('K♣', '2♣')
('Q♠', 'A♠')
('Q♠', 'A♥')
('Q♠', 'A♦')
('Q♠', 'A♣')
('Q♠', 'K♠')
('Q♠', 'K♥')
('Q♠', 'K♦')
('Q♠', 'K♣')
('Q♠', 'Q♠')
('Q♠', 'Q♥')
('Q♠', 'Q♦')
('Q♠', 'Q♣')
('Q♠', 'J♠')
('Q♠', 'J♥')
('Q♠', 'J♦')
('Q♠', 'J♣')
('Q♠', '⑽♠')
('Q♠', '⑽♥')
('Q♠', '⑽♦')
('Q♠', '⑽♣')
('Q♠', '9♠')
('Q♠', '9♥')
('Q♠', '9♦')
('Q♠', '9♣')
('Q♠', '8♠')
('Q♠', '8♥')
('Q♠', '8♦')
('Q♠', '8♣')
('Q♠', '7♠')
('Q♠', '7♥')
('Q♠', '7♦')
('Q♠', '7♣')
('Q♠', '6♠')
('Q♠', '6♥')
('Q♠', '6♦')
('Q♠', '6♣')
('Q♠', '5♠')
('Q♠', '5♥')
('Q♠', '5♦')
('Q♠', '5♣')
('Q♠', '4♠')
('Q♠', '4♥')
('Q♠', '4♦')
('Q♠', '4♣')
('Q♠', '3♠')
('Q♠', '3♥')
('Q♠', '3♦')
('Q♠', '3♣')
('Q♠', '2♠')
('Q♠', '2♥')
('Q♠', '2♦')
('Q♠', '2♣')
('Q♥', 'A♠')
('Q♥', 'A♥')
('Q♥', 'A♦')
('Q♥', 'A♣')
('Q♥', 'K♠')
('Q♥', 'K♥')
('Q♥', 'K♦')
('Q♥', 'K♣')
('Q♥', 'Q♠')
('Q♥', 'Q♥')
('Q♥', 'Q♦')
('Q♥', 'Q♣')
('Q♥', 'J♠')
('Q♥', 'J♥')
('Q♥', 'J♦')
('Q♥', 'J♣')
('Q♥', '⑽♠')
('Q♥', '⑽♥')
('Q♥', '⑽♦')
('Q♥', '⑽♣')
('Q♥', '9♠')
('Q♥', '9♥')
('Q♥', '9♦')
('Q♥', '9♣')
('Q♥', '8♠')
('Q♥', '8♥')
('Q♥', '8♦')
('Q♥', '8♣')
('Q♥', '7♠')
('Q♥', '7♥')
('Q♥', '7♦')
('Q♥', '7♣')
('Q♥', '6♠')
('Q♥', '6♥')
('Q♥', '6♦')
('Q♥', '6♣')
('Q♥', '5♠')
('Q♥', '5♥')
('Q♥', '5♦')
('Q♥', '5♣')
('Q♥', '4♠')
('Q♥', '4♥')
('Q♥', '4♦')
('Q♥', '4♣')
('Q♥', '3♠')
('Q♥', '3♥')
('Q♥', '3♦')
('Q♥', '3♣')
('Q♥', '2♠')
('Q♥', '2♥')
('Q♥', '2♦')
('Q♥', '2♣')
('Q♦', 'A♠')
('Q♦', 'A♥')
('Q♦', 'A♦')
('Q♦', 'A♣')
('Q♦', 'K♠')
('Q♦', 'K♥')
('Q♦', 'K♦')
('Q♦', 'K♣')
('Q♦', 'Q♠')
('Q♦', 'Q♥')
('Q♦', 'Q♦')
('Q♦', 'Q♣')
('Q♦', 'J♠')
('Q♦', 'J♥')
('Q♦', 'J♦')
('Q♦', 'J♣')
('Q♦', '⑽♠')
('Q♦', '⑽♥')
('Q♦', '⑽♦')
('Q♦', '⑽♣')
('Q♦', '9♠')
('Q♦', '9♥')
('Q♦', '9♦')
('Q♦', '9♣')
('Q♦', '8♠')
('Q♦', '8♥')
('Q♦', '8♦')
('Q♦', '8♣')
('Q♦', '7♠')
('Q♦', '7♥')
('Q♦', '7♦')
('Q♦', '7♣')
('Q♦', '6♠')
('Q♦', '6♥')
('Q♦', '6♦')
('Q♦', '6♣')
('Q♦', '5♠')
('Q♦', '5♥')
('Q♦', '5♦')
('Q♦', '5♣')
('Q♦', '4♠')
('Q♦', '4♥')
('Q♦', '4♦')
('Q♦', '4♣')
('Q♦', '3♠')
('Q♦', '3♥')
('Q♦', '3♦')
('Q♦', '3♣')
('Q♦', '2♠')
('Q♦', '2♥')
('Q♦', '2♦')
('Q♦', '2♣')
('Q♣', 'A♠')
('Q♣', 'A♥')
('Q♣', 'A♦')
('Q♣', 'A♣')
('Q♣', 'K♠')
('Q♣', 'K♥')
('Q♣', 'K♦')
('Q♣', 'K♣')
('Q♣', 'Q♠')
('Q♣', 'Q♥')
('Q♣', 'Q♦')
('Q♣', 'Q♣')
('Q♣', 'J♠')
('Q♣', 'J♥')
('Q♣', 'J♦')
('Q♣', 'J♣')
('Q♣', '⑽♠')
('Q♣', '⑽♥')
('Q♣', '⑽♦')
('Q♣', '⑽♣')
('Q♣', '9♠')
('Q♣', '9♥')
('Q♣', '9♦')
('Q♣', '9♣')
('Q♣', '8♠')
('Q♣', '8♥')
('Q♣', '8♦')
('Q♣', '8♣')
('Q♣', '7♠')
('Q♣', '7♥')
('Q♣', '7♦')
('Q♣', '7♣')
('Q♣', '6♠')
('Q♣', '6♥')
('Q♣', '6♦')
('Q♣', '6♣')
('Q♣', '5♠')
('Q♣', '5♥')
('Q♣', '5♦')
('Q♣', '5♣')
('Q♣', '4♠')
('Q♣', '4♥')
('Q♣', '4♦')
('Q♣', '4♣')
('Q♣', '3♠')
('Q♣', '3♥')
('Q♣', '3♦')
('Q♣', '3♣')
('Q♣', '2♠')
('Q♣', '2♥')
('Q♣', '2♦')
('Q♣', '2♣')
('J♠', 'A♠')
('J♠', 'A♥')
('J♠', 'A♦')
('J♠', 'A♣')
('J♠', 'K♠')
('J♠', 'K♥')
('J♠', 'K♦')
('J♠', 'K♣')
('J♠', 'Q♠')
('J♠', 'Q♥')
('J♠', 'Q♦')
('J♠', 'Q♣')
('J♠', 'J♠')
('J♠', 'J♥')
('J♠', 'J♦')
('J♠', 'J♣')
('J♠', '⑽♠')
('J♠', '⑽♥')
('J♠', '⑽♦')
('J♠', '⑽♣')
('J♠', '9♠')
('J♠', '9♥')
('J♠', '9♦')
('J♠', '9♣')
('J♠', '8♠')
('J♠', '8♥')
('J♠', '8♦')
('J♠', '8♣')
('J♠', '7♠')
('J♠', '7♥')
('J♠', '7♦')
('J♠', '7♣')
('J♠', '6♠')
('J♠', '6♥')
('J♠', '6♦')
('J♠', '6♣')
('J♠', '5♠')
('J♠', '5♥')
('J♠', '5♦')
('J♠', '5♣')
('J♠', '4♠')
('J♠', '4♥')
('J♠', '4♦')
('J♠', '4♣')
('J♠', '3♠')
('J♠', '3♥')
('J♠', '3♦')
('J♠', '3♣')
('J♠', '2♠')
('J♠', '2♥')
('J♠', '2♦')
('J♠', '2♣')
('J♥', 'A♠')
('J♥', 'A♥')
('J♥', 'A♦')
('J♥', 'A♣')
('J♥', 'K♠')
('J♥', 'K♥')
('J♥', 'K♦')
('J♥', 'K♣')
('J♥', 'Q♠')
('J♥', 'Q♥')
('J♥', 'Q♦')
('J♥', 'Q♣')
('J♥', 'J♠')
('J♥', 'J♥')
('J♥', 'J♦')
('J♥', 'J♣')
('J♥', '⑽♠')
('J♥', '⑽♥')
('J♥', '⑽♦')
('J♥', '⑽♣')
('J♥', '9♠')
('J♥', '9♥')
('J♥', '9♦')
('J♥', '9♣')
('J♥', '8♠')
('J♥', '8♥')
('J♥', '8♦')
('J♥', '8♣')
('J♥', '7♠')
('J♥', '7♥')
('J♥', '7♦')
('J♥', '7♣')
('J♥', '6♠')
('J♥', '6♥')
('J♥', '6♦')
('J♥', '6♣')
('J♥', '5♠')
('J♥', '5♥')
('J♥', '5♦')
('J♥', '5♣')
('J♥', '4♠')
('J♥', '4♥')
('J♥', '4♦')
('J♥', '4♣')
('J♥', '3♠')
('J♥', '3♥')
('J♥', '3♦')
('J♥', '3♣')
('J♥', '2♠')
('J♥', '2♥')
('J♥', '2♦')
('J♥', '2♣')
('J♦', 'A♠')
('J♦', 'A♥')
('J♦', 'A♦')
('J♦', 'A♣')
('J♦', 'K♠')
('J♦', 'K♥')
('J♦', 'K♦')
('J♦', 'K♣')
('J♦', 'Q♠')
('J♦', 'Q♥')
('J♦', 'Q♦')
('J♦', 'Q♣')
('J♦', 'J♠')
('J♦', 'J♥')
('J♦', 'J♦')
('J♦', 'J♣')
('J♦', '⑽♠')
('J♦', '⑽♥')
('J♦', '⑽♦')
('J♦', '⑽♣')
('J♦', '9♠')
('J♦', '9♥')
('J♦', '9♦')
('J♦', '9♣')
('J♦', '8♠')
('J♦', '8♥')
('J♦', '8♦')
('J♦', '8♣')
('J♦', '7♠')
('J♦', '7♥')
('J♦', '7♦')
('J♦', '7♣')
('J♦', '6♠')
('J♦', '6♥')
('J♦', '6♦')
('J♦', '6♣')
('J♦', '5♠')
('J♦', '5♥')
('J♦', '5♦')
('J♦', '5♣')
('J♦', '4♠')
('J♦', '4♥')
('J♦', '4♦')
('J♦', '4♣')
('J♦', '3♠')
('J♦', '3♥')
('J♦', '3♦')
('J♦', '3♣')
('J♦', '2♠')
('J♦', '2♥')
('J♦', '2♦')
('J♦', '2♣')
('J♣', 'A♠')
('J♣', 'A♥')
('J♣', 'A♦')
('J♣', 'A♣')
('J♣', 'K♠')
('J♣', 'K♥')
('J♣', 'K♦')
('J♣', 'K♣')
('J♣', 'Q♠')
('J♣', 'Q♥')
('J♣', 'Q♦')
('J♣', 'Q♣')
('J♣', 'J♠')
('J♣', 'J♥')
('J♣', 'J♦')
('J♣', 'J♣')
('J♣', '⑽♠')
('J♣', '⑽♥')
('J♣', '⑽♦')
('J♣', '⑽♣')
('J♣', '9♠')
('J♣', '9♥')
('J♣', '9♦')
('J♣', '9♣')
('J♣', '8♠')
('J♣', '8♥')
('J♣', '8♦')
('J♣', '8♣')
('J♣', '7♠')
('J♣', '7♥')
('J♣', '7♦')
('J♣', '7♣')
('J♣', '6♠')
('J♣', '6♥')
('J♣', '6♦')
('J♣', '6♣')
('J♣', '5♠')
('J♣', '5♥')
('J♣', '5♦')
('J♣', '5♣')
('J♣', '4♠')
('J♣', '4♥')
('J♣', '4♦')
('J♣', '4♣')
('J♣', '3♠')
('J♣', '3♥')
('J♣', '3♦')
('J♣', '3♣')
('J♣', '2♠')
('J♣', '2♥')
('J♣', '2♦')
('J♣', '2♣')
('⑽♠', 'A♠')
('⑽♠', 'A♥')
('⑽♠', 'A♦')
('⑽♠', 'A♣')
('⑽♠', 'K♠')
('⑽♠', 'K♥')
('⑽♠', 'K♦')
('⑽♠', 'K♣')
('⑽♠', 'Q♠')
('⑽♠', 'Q♥')
('⑽♠', 'Q♦')
('⑽♠', 'Q♣')
('⑽♠', 'J♠')
('⑽♠', 'J♥')
('⑽♠', 'J♦')
('⑽♠', 'J♣')
('⑽♠', '⑽♠')
('⑽♠', '⑽♥')
('⑽♠', '⑽♦')
('⑽♠', '⑽♣')
('⑽♠', '9♠')
('⑽♠', '9♥')
('⑽♠', '9♦')
('⑽♠', '9♣')
('⑽♠', '8♠')
('⑽♠', '8♥')
('⑽♠', '8♦')
('⑽♠', '8♣')
('⑽♠', '7♠')
('⑽♠', '7♥')
('⑽♠', '7♦')
('⑽♠', '7♣')
('⑽♠', '6♠')
('⑽♠', '6♥')
('⑽♠', '6♦')
('⑽♠', '6♣')
('⑽♠', '5♠')
('⑽♠', '5♥')
('⑽♠', '5♦')
('⑽♠', '5♣')
('⑽♠', '4♠')
('⑽♠', '4♥')
('⑽♠', '4♦')
('⑽♠', '4♣')
('⑽♠', '3♠')
('⑽♠', '3♥')
('⑽♠', '3♦')
('⑽♠', '3♣')
('⑽♠', '2♠')
('⑽♠', '2♥')
('⑽♠', '2♦')
('⑽♠', '2♣')
('⑽♥', 'A♠')
('⑽♥', 'A♥')
('⑽♥', 'A♦')
('⑽♥', 'A♣')
('⑽♥', 'K♠')
('⑽♥', 'K♥')
('⑽♥', 'K♦')
('⑽♥', 'K♣')
('⑽♥', 'Q♠')
('⑽♥', 'Q♥')
('⑽♥', 'Q♦')
('⑽♥', 'Q♣')
('⑽♥', 'J♠')
('⑽♥', 'J♥')
('⑽♥', 'J♦')
('⑽♥', 'J♣')
('⑽♥', '⑽♠')
('⑽♥', '⑽♥')
('⑽♥', '⑽♦')
('⑽♥', '⑽♣')
('⑽♥', '9♠')
('⑽♥', '9♥')
('⑽♥', '9♦')
('⑽♥', '9♣')
('⑽♥', '8♠')
('⑽♥', '8♥')
('⑽♥', '8♦')
('⑽♥', '8♣')
('⑽♥', '7♠')
('⑽♥', '7♥')
('⑽♥', '7♦')
('⑽♥', '7♣')
('⑽♥', '6♠')
('⑽♥', '6♥')
('⑽♥', '6♦')
('⑽♥', '6♣')
('⑽♥', '5♠')
('⑽♥', '5♥')
('⑽♥', '5♦')
('⑽♥', '5♣')
('⑽♥', '4♠')
('⑽♥', '4♥')
('⑽♥', '4♦')
('⑽♥', '4♣')
('⑽♥', '3♠')
('⑽♥', '3♥')
('⑽♥', '3♦')
('⑽♥', '3♣')
('⑽♥', '2♠')
('⑽♥', '2♥')
('⑽♥', '2♦')
('⑽♥', '2♣')
('⑽♦', 'A♠')
('⑽♦', 'A♥')
('⑽♦', 'A♦')
('⑽♦', 'A♣')
('⑽♦', 'K♠')
('⑽♦', 'K♥')
('⑽♦', 'K♦')
('⑽♦', 'K♣')
('⑽♦', 'Q♠')
('⑽♦', 'Q♥')
('⑽♦', 'Q♦')
('⑽♦', 'Q♣')
('⑽♦', 'J♠')
('⑽♦', 'J♥')
('⑽♦', 'J♦')
('⑽♦', 'J♣')
('⑽♦', '⑽♠')
('⑽♦', '⑽♥')
('⑽♦', '⑽♦')
('⑽♦', '⑽♣')
('⑽♦', '9♠')
('⑽♦', '9♥')
('⑽♦', '9♦')
('⑽♦', '9♣')
('⑽♦', '8♠')
('⑽♦', '8♥')
('⑽♦', '8♦')
('⑽♦', '8♣')
('⑽♦', '7♠')
('⑽♦', '7♥')
('⑽♦', '7♦')
('⑽♦', '7♣')
('⑽♦', '6♠')
('⑽♦', '6♥')
('⑽♦', '6♦')
('⑽♦', '6♣')
('⑽♦', '5♠')
('⑽♦', '5♥')
('⑽♦', '5♦')
('⑽♦', '5♣')
('⑽♦', '4♠')
('⑽♦', '4♥')
('⑽♦', '4♦')
('⑽♦', '4♣')
('⑽♦', '3♠')
('⑽♦', '3♥')
('⑽♦', '3♦')
('⑽♦', '3♣')
('⑽♦', '2♠')
('⑽♦', '2♥')
('⑽♦', '2♦')
('⑽♦', '2♣')
('⑽♣', 'A♠')
('⑽♣', 'A♥')
('⑽♣', 'A♦')
('⑽♣', 'A♣')
('⑽♣', 'K♠')
('⑽♣', 'K♥')
('⑽♣', 'K♦')
('⑽♣', 'K♣')
('⑽♣', 'Q♠')
('⑽♣', 'Q♥')
('⑽♣', 'Q♦')
('⑽♣', 'Q♣')
('⑽♣', 'J♠')
('⑽♣', 'J♥')
('⑽♣', 'J♦')
('⑽♣', 'J♣')
('⑽♣', '⑽♠')
('⑽♣', '⑽♥')
('⑽♣', '⑽♦')
('⑽♣', '⑽♣')
('⑽♣', '9♠')
('⑽♣', '9♥')
('⑽♣', '9♦')
('⑽♣', '9♣')
('⑽♣', '8♠')
('⑽♣', '8♥')
('⑽♣', '8♦')
('⑽♣', '8♣')
('⑽♣', '7♠')
('⑽♣', '7♥')
('⑽♣', '7♦')
('⑽♣', '7♣')
('⑽♣', '6♠')
('⑽♣', '6♥')
('⑽♣', '6♦')
('⑽♣', '6♣')
('⑽♣', '5♠')
('⑽♣', '5♥')
('⑽♣', '5♦')
('⑽♣', '5♣')
('⑽♣', '4♠')
('⑽♣', '4♥')
('⑽♣', '4♦')
('⑽♣', '4♣')
('⑽♣', '3♠')
('⑽♣', '3♥')
('⑽♣', '3♦')
('⑽♣', '3♣')
('⑽♣', '2♠')
('⑽♣', '2♥')
('⑽♣', '2♦')
('⑽♣', '2♣')
('9♠', 'A♠')
('9♠', 'A♥')
('9♠', 'A♦')
('9♠', 'A♣')
('9♠', 'K♠')
('9♠', 'K♥')
('9♠', 'K♦')
('9♠', 'K♣')
('9♠', 'Q♠')
('9♠', 'Q♥')
('9♠', 'Q♦')
('9♠', 'Q♣')
('9♠', 'J♠')
('9♠', 'J♥')
('9♠', 'J♦')
('9♠', 'J♣')
('9♠', '⑽♠')
('9♠', '⑽♥')
('9♠', '⑽♦')
('9♠', '⑽♣')
('9♠', '9♠')
('9♠', '9♥')
('9♠', '9♦')
('9♠', '9♣')
('9♠', '8♠')
('9♠', '8♥')
('9♠', '8♦')
('9♠', '8♣')
('9♠', '7♠')
('9♠', '7♥')
('9♠', '7♦')
('9♠', '7♣')
('9♠', '6♠')
('9♠', '6♥')
('9♠', '6♦')
('9♠', '6♣')
('9♠', '5♠')
('9♠', '5♥')
('9♠', '5♦')
('9♠', '5♣')
('9♠', '4♠')
('9♠', '4♥')
('9♠', '4♦')
('9♠', '4♣')
('9♠', '3♠')
('9♠', '3♥')
('9♠', '3♦')
('9♠', '3♣')
('9♠', '2♠')
('9♠', '2♥')
('9♠', '2♦')
('9♠', '2♣')
('9♥', 'A♠')
('9♥', 'A♥')
('9♥', 'A♦')
('9♥', 'A♣')
('9♥', 'K♠')
('9♥', 'K♥')
('9♥', 'K♦')
('9♥', 'K♣')
('9♥', 'Q♠')
('9♥', 'Q♥')
('9♥', 'Q♦')
('9♥', 'Q♣')
('9♥', 'J♠')
('9♥', 'J♥')
('9♥', 'J♦')
('9♥', 'J♣')
('9♥', '⑽♠')
('9♥', '⑽♥')
('9♥', '⑽♦')
('9♥', '⑽♣')
('9♥', '9♠')
('9♥', '9♥')
('9♥', '9♦')
('9♥', '9♣')
('9♥', '8♠')
('9♥', '8♥')
('9♥', '8♦')
('9♥', '8♣')
('9♥', '7♠')
('9♥', '7♥')
('9♥', '7♦')
('9♥', '7♣')
('9♥', '6♠')
('9♥', '6♥')
('9♥', '6♦')
('9♥', '6♣')
('9♥', '5♠')
('9♥', '5♥')
('9♥', '5♦')
('9♥', '5♣')
('9♥', '4♠')
('9♥', '4♥')
('9♥', '4♦')
('9♥', '4♣')
('9♥', '3♠')
('9♥', '3♥')
('9♥', '3♦')
('9♥', '3♣')
('9♥', '2♠')
('9♥', '2♥')
('9♥', '2♦')
('9♥', '2♣')
('9♦', 'A♠')
('9♦', 'A♥')
('9♦', 'A♦')
('9♦', 'A♣')
('9♦', 'K♠')
('9♦', 'K♥')
('9♦', 'K♦')
('9♦', 'K♣')
('9♦', 'Q♠')
('9♦', 'Q♥')
('9♦', 'Q♦')
('9♦', 'Q♣')
('9♦', 'J♠')
('9♦', 'J♥')
('9♦', 'J♦')
('9♦', 'J♣')
('9♦', '⑽♠')
('9♦', '⑽♥')
('9♦', '⑽♦')
('9♦', '⑽♣')
('9♦', '9♠')
('9♦', '9♥')
('9♦', '9♦')
('9♦', '9♣')
('9♦', '8♠')
('9♦', '8♥')
('9♦', '8♦')
('9♦', '8♣')
('9♦', '7♠')
('9♦', '7♥')
('9♦', '7♦')
('9♦', '7♣')
('9♦', '6♠')
('9♦', '6♥')
('9♦', '6♦')
('9♦', '6♣')
('9♦', '5♠')
('9♦', '5♥')
('9♦', '5♦')
('9♦', '5♣')
('9♦', '4♠')
('9♦', '4♥')
('9♦', '4♦')
('9♦', '4♣')
('9♦', '3♠')
('9♦', '3♥')
('9♦', '3♦')
('9♦', '3♣')
('9♦', '2♠')
('9♦', '2♥')
('9♦', '2♦')
('9♦', '2♣')
('9♣', 'A♠')
('9♣', 'A♥')
('9♣', 'A♦')
('9♣', 'A♣')
('9♣', 'K♠')
('9♣', 'K♥')
('9♣', 'K♦')
('9♣', 'K♣')
('9♣', 'Q♠')
('9♣', 'Q♥')
('9♣', 'Q♦')
('9♣', 'Q♣')
('9♣', 'J♠')
('9♣', 'J♥')
('9♣', 'J♦')
('9♣', 'J♣')
('9♣', '⑽♠')
('9♣', '⑽♥')
('9♣', '⑽♦')
('9♣', '⑽♣')
('9♣', '9♠')
('9♣', '9♥')
('9♣', '9♦')
('9♣', '9♣')
('9♣', '8♠')
('9♣', '8♥')
('9♣', '8♦')
('9♣', '8♣')
('9♣', '7♠')
('9♣', '7♥')
('9♣', '7♦')
('9♣', '7♣')
('9♣', '6♠')
('9♣', '6♥')
('9♣', '6♦')
('9♣', '6♣')
('9♣', '5♠')
('9♣', '5♥')
('9♣', '5♦')
('9♣', '5♣')
('9♣', '4♠')
('9♣', '4♥')
('9♣', '4♦')
('9♣', '4♣')
('9♣', '3♠')
('9♣', '3♥')
('9♣', '3♦')
('9♣', '3♣')
('9♣', '2♠')
('9♣', '2♥')
('9♣', '2♦')
('9♣', '2♣')
('8♠', 'A♠')
('8♠', 'A♥')
('8♠', 'A♦')
('8♠', 'A♣')
('8♠', 'K♠')
('8♠', 'K♥')
('8♠', 'K♦')
('8♠', 'K♣')
('8♠', 'Q♠')
('8♠', 'Q♥')
('8♠', 'Q♦')
('8♠', 'Q♣')
('8♠', 'J♠')
('8♠', 'J♥')
('8♠', 'J♦')
('8♠', 'J♣')
('8♠', '⑽♠')
('8♠', '⑽♥')
('8♠', '⑽♦')
('8♠', '⑽♣')
('8♠', '9♠')
('8♠', '9♥')
('8♠', '9♦')
('8♠', '9♣')
('8♠', '8♠')
('8♠', '8♥')
('8♠', '8♦')
('8♠', '8♣')
('8♠', '7♠')
('8♠', '7♥')
('8♠', '7♦')
('8♠', '7♣')
('8♠', '6♠')
('8♠', '6♥')
('8♠', '6♦')
('8♠', '6♣')
('8♠', '5♠')
('8♠', '5♥')
('8♠', '5♦')
('8♠', '5♣')
('8♠', '4♠')
('8♠', '4♥')
('8♠', '4♦')
('8♠', '4♣')
('8♠', '3♠')
('8♠', '3♥')
('8♠', '3♦')
('8♠', '3♣')
('8♠', '2♠')
('8♠', '2♥')
('8♠', '2♦')
('8♠', '2♣')
('8♥', 'A♠')
('8♥', 'A♥')
('8♥', 'A♦')
('8♥', 'A♣')
('8♥', 'K♠')
('8♥', 'K♥')
('8♥', 'K♦')
('8♥', 'K♣')
('8♥', 'Q♠')
('8♥', 'Q♥')
('8♥', 'Q♦')
('8♥', 'Q♣')
('8♥', 'J♠')
('8♥', 'J♥')
('8♥', 'J♦')
('8♥', 'J♣')
('8♥', '⑽♠')
('8♥', '⑽♥')
('8♥', '⑽♦')
('8♥', '⑽♣')
('8♥', '9♠')
('8♥', '9♥')
('8♥', '9♦')
('8♥', '9♣')
('8♥', '8♠')
('8♥', '8♥')
('8♥', '8♦')
('8♥', '8♣')
('8♥', '7♠')
('8♥', '7♥')
('8♥', '7♦')
('8♥', '7♣')
('8♥', '6♠')
('8♥', '6♥')
('8♥', '6♦')
('8♥', '6♣')
('8♥', '5♠')
('8♥', '5♥')
('8♥', '5♦')
('8♥', '5♣')
('8♥', '4♠')
('8♥', '4♥')
('8♥', '4♦')
('8♥', '4♣')
('8♥', '3♠')
('8♥', '3♥')
('8♥', '3♦')
('8♥', '3♣')
('8♥', '2♠')
('8♥', '2♥')
('8♥', '2♦')
('8♥', '2♣')
('8♦', 'A♠')
('8♦', 'A♥')
('8♦', 'A♦')
('8♦', 'A♣')
('8♦', 'K♠')
('8♦', 'K♥')
('8♦', 'K♦')
('8♦', 'K♣')
('8♦', 'Q♠')
('8♦', 'Q♥')
('8♦', 'Q♦')
('8♦', 'Q♣')
('8♦', 'J♠')
('8♦', 'J♥')
('8♦', 'J♦')
('8♦', 'J♣')
('8♦', '⑽♠')
('8♦', '⑽♥')
('8♦', '⑽♦')
('8♦', '⑽♣')
('8♦', '9♠')
('8♦', '9♥')
('8♦', '9♦')
('8♦', '9♣')
('8♦', '8♠')
('8♦', '8♥')
('8♦', '8♦')
('8♦', '8♣')
('8♦', '7♠')
('8♦', '7♥')
('8♦', '7♦')
('8♦', '7♣')
('8♦', '6♠')
('8♦', '6♥')
('8♦', '6♦')
('8♦', '6♣')
('8♦', '5♠')
('8♦', '5♥')
('8♦', '5♦')
('8♦', '5♣')
('8♦', '4♠')
('8♦', '4♥')
('8♦', '4♦')
('8♦', '4♣')
('8♦', '3♠')
('8♦', '3♥')
('8♦', '3♦')
('8♦', '3♣')
('8♦', '2♠')
('8♦', '2♥')
('8♦', '2♦')
('8♦', '2♣')
('8♣', 'A♠')
('8♣', 'A♥')
('8♣', 'A♦')
('8♣', 'A♣')
('8♣', 'K♠')
('8♣', 'K♥')
('8♣', 'K♦')
('8♣', 'K♣')
('8♣', 'Q♠')
('8♣', 'Q♥')
('8♣', 'Q♦')
('8♣', 'Q♣')
('8♣', 'J♠')
('8♣', 'J♥')
('8♣', 'J♦')
('8♣', 'J♣')
('8♣', '⑽♠')
('8♣', '⑽♥')
('8♣', '⑽♦')
('8♣', '⑽♣')
('8♣', '9♠')
('8♣', '9♥')
('8♣', '9♦')
('8♣', '9♣')
('8♣', '8♠')
('8♣', '8♥')
('8♣', '8♦')
('8♣', '8♣')
('8♣', '7♠')
('8♣', '7♥')
('8♣', '7♦')
('8♣', '7♣')
('8♣', '6♠')
('8♣', '6♥')
('8♣', '6♦')
('8♣', '6♣')
('8♣', '5♠')
('8♣', '5♥')
('8♣', '5♦')
('8♣', '5♣')
('8♣', '4♠')
('8♣', '4♥')
('8♣', '4♦')
('8♣', '4♣')
('8♣', '3♠')
('8♣', '3♥')
('8♣', '3♦')
('8♣', '3♣')
('8♣', '2♠')
('8♣', '2♥')
('8♣', '2♦')
('8♣', '2♣')
('7♠', 'A♠')
('7♠', 'A♥')
('7♠', 'A♦')
('7♠', 'A♣')
('7♠', 'K♠')
('7♠', 'K♥')
('7♠', 'K♦')
('7♠', 'K♣')
('7♠', 'Q♠')
('7♠', 'Q♥')
('7♠', 'Q♦')
('7♠', 'Q♣')
('7♠', 'J♠')
('7♠', 'J♥')
('7♠', 'J♦')
('7♠', 'J♣')
('7♠', '⑽♠')
('7♠', '⑽♥')
('7♠', '⑽♦')
('7♠', '⑽♣')
('7♠', '9♠')
('7♠', '9♥')
('7♠', '9♦')
('7♠', '9♣')
('7♠', '8♠')
('7♠', '8♥')
('7♠', '8♦')
('7♠', '8♣')
('7♠', '7♠')
('7♠', '7♥')
('7♠', '7♦')
('7♠', '7♣')
('7♠', '6♠')
('7♠', '6♥')
('7♠', '6♦')
('7♠', '6♣')
('7♠', '5♠')
('7♠', '5♥')
('7♠', '5♦')
('7♠', '5♣')
('7♠', '4♠')
('7♠', '4♥')
('7♠', '4♦')
('7♠', '4♣')
('7♠', '3♠')
('7♠', '3♥')
('7♠', '3♦')
('7♠', '3♣')
('7♠', '2♠')
('7♠', '2♥')
('7♠', '2♦')
('7♠', '2♣')
('7♥', 'A♠')
('7♥', 'A♥')
('7♥', 'A♦')
('7♥', 'A♣')
('7♥', 'K♠')
('7♥', 'K♥')
('7♥', 'K♦')
('7♥', 'K♣')
('7♥', 'Q♠')
('7♥', 'Q♥')
('7♥', 'Q♦')
('7♥', 'Q♣')
('7♥', 'J♠')
('7♥', 'J♥')
('7♥', 'J♦')
('7♥', 'J♣')
('7♥', '⑽♠')
('7♥', '⑽♥')
('7♥', '⑽♦')
('7♥', '⑽♣')
('7♥', '9♠')
('7♥', '9♥')
('7♥', '9♦')
('7♥', '9♣')
('7♥', '8♠')
('7♥', '8♥')
('7♥', '8♦')
('7♥', '8♣')
('7♥', '7♠')
('7♥', '7♥')
('7♥', '7♦')
('7♥', '7♣')
('7♥', '6♠')
('7♥', '6♥')
('7♥', '6♦')
('7♥', '6♣')
('7♥', '5♠')
('7♥', '5♥')
('7♥', '5♦')
('7♥', '5♣')
('7♥', '4♠')
('7♥', '4♥')
('7♥', '4♦')
('7♥', '4♣')
('7♥', '3♠')
('7♥', '3♥')
('7♥', '3♦')
('7♥', '3♣')
('7♥', '2♠')
('7♥', '2♥')
('7♥', '2♦')
('7♥', '2♣')
('7♦', 'A♠')
('7♦', 'A♥')
('7♦', 'A♦')
('7♦', 'A♣')
('7♦', 'K♠')
('7♦', 'K♥')
('7♦', 'K♦')
('7♦', 'K♣')
('7♦', 'Q♠')
('7♦', 'Q♥')
('7♦', 'Q♦')
('7♦', 'Q♣')
('7♦', 'J♠')
('7♦', 'J♥')
('7♦', 'J♦')
('7♦', 'J♣')
('7♦', '⑽♠')
('7♦', '⑽♥')
('7♦', '⑽♦')
('7♦', '⑽♣')
('7♦', '9♠')
('7♦', '9♥')
('7♦', '9♦')
('7♦', '9♣')
('7♦', '8♠')
('7♦', '8♥')
('7♦', '8♦')
('7♦', '8♣')
('7♦', '7♠')
('7♦', '7♥')
('7♦', '7♦')
('7♦', '7♣')
('7♦', '6♠')
('7♦', '6♥')
('7♦', '6♦')
('7♦', '6♣')
('7♦', '5♠')
('7♦', '5♥')
('7♦', '5♦')
('7♦', '5♣')
('7♦', '4♠')
('7♦', '4♥')
('7♦', '4♦')
('7♦', '4♣')
('7♦', '3♠')
('7♦', '3♥')
('7♦', '3♦')
('7♦', '3♣')
('7♦', '2♠')
('7♦', '2♥')
('7♦', '2♦')
('7♦', '2♣')
('7♣', 'A♠')
('7♣', 'A♥')
('7♣', 'A♦')
('7♣', 'A♣')
('7♣', 'K♠')
('7♣', 'K♥')
('7♣', 'K♦')
('7♣', 'K♣')
('7♣', 'Q♠')
('7♣', 'Q♥')
('7♣', 'Q♦')
('7♣', 'Q♣')
('7♣', 'J♠')
('7♣', 'J♥')
('7♣', 'J♦')
('7♣', 'J♣')
('7♣', '⑽♠')
('7♣', '⑽♥')
('7♣', '⑽♦')
('7♣', '⑽♣')
('7♣', '9♠')
('7♣', '9♥')
('7♣', '9♦')
('7♣', '9♣')
('7♣', '8♠')
('7♣', '8♥')
('7♣', '8♦')
('7♣', '8♣')
('7♣', '7♠')
('7♣', '7♥')
('7♣', '7♦')
('7♣', '7♣')
('7♣', '6♠')
('7♣', '6♥')
('7♣', '6♦')
('7♣', '6♣')
('7♣', '5♠')
('7♣', '5♥')
('7♣', '5♦')
('7♣', '5♣')
('7♣', '4♠')
('7♣', '4♥')
('7♣', '4♦')
('7♣', '4♣')
('7♣', '3♠')
('7♣', '3♥')
('7♣', '3♦')
('7♣', '3♣')
('7♣', '2♠')
('7♣', '2♥')
('7♣', '2♦')
('7♣', '2♣')
('6♠', 'A♠')
('6♠', 'A♥')
('6♠', 'A♦')
('6♠', 'A♣')
('6♠', 'K♠')
('6♠', 'K♥')
('6♠', 'K♦')
('6♠', 'K♣')
('6♠', 'Q♠')
('6♠', 'Q♥')
('6♠', 'Q♦')
('6♠', 'Q♣')
('6♠', 'J♠')
('6♠', 'J♥')
('6♠', 'J♦')
('6♠', 'J♣')
('6♠', '⑽♠')
('6♠', '⑽♥')
('6♠', '⑽♦')
('6♠', '⑽♣')
('6♠', '9♠')
('6♠', '9♥')
('6♠', '9♦')
('6♠', '9♣')
('6♠', '8♠')
('6♠', '8♥')
('6♠', '8♦')
('6♠', '8♣')
('6♠', '7♠')
('6♠', '7♥')
('6♠', '7♦')
('6♠', '7♣')
('6♠', '6♠')
('6♠', '6♥')
('6♠', '6♦')
('6♠', '6♣')
('6♠', '5♠')
('6♠', '5♥')
('6♠', '5♦')
('6♠', '5♣')
('6♠', '4♠')
('6♠', '4♥')
('6♠', '4♦')
('6♠', '4♣')
('6♠', '3♠')
('6♠', '3♥')
('6♠', '3♦')
('6♠', '3♣')
('6♠', '2♠')
('6♠', '2♥')
('6♠', '2♦')
('6♠', '2♣')
('6♥', 'A♠')
('6♥', 'A♥')
('6♥', 'A♦')
('6♥', 'A♣')
('6♥', 'K♠')
('6♥', 'K♥')
('6♥', 'K♦')
('6♥', 'K♣')
('6♥', 'Q♠')
('6♥', 'Q♥')
('6♥', 'Q♦')
('6♥', 'Q♣')
('6♥', 'J♠')
('6♥', 'J♥')
('6♥', 'J♦')
('6♥', 'J♣')
('6♥', '⑽♠')
('6♥', '⑽♥')
('6♥', '⑽♦')
('6♥', '⑽♣')
('6♥', '9♠')
('6♥', '9♥')
('6♥', '9♦')
('6♥', '9♣')
('6♥', '8♠')
('6♥', '8♥')
('6♥', '8♦')
('6♥', '8♣')
('6♥', '7♠')
('6♥', '7♥')
('6♥', '7♦')
('6♥', '7♣')
('6♥', '6♠')
('6♥', '6♥')
('6♥', '6♦')
('6♥', '6♣')
('6♥', '5♠')
('6♥', '5♥')
('6♥', '5♦')
('6♥', '5♣')
('6♥', '4♠')
('6♥', '4♥')
('6♥', '4♦')
('6♥', '4♣')
('6♥', '3♠')
('6♥', '3♥')
('6♥', '3♦')
('6♥', '3♣')
('6♥', '2♠')
('6♥', '2♥')
('6♥', '2♦')
('6♥', '2♣')
('6♦', 'A♠')
('6♦', 'A♥')
('6♦', 'A♦')
('6♦', 'A♣')
('6♦', 'K♠')
('6♦', 'K♥')
('6♦', 'K♦')
('6♦', 'K♣')
('6♦', 'Q♠')
('6♦', 'Q♥')
('6♦', 'Q♦')
('6♦', 'Q♣')
('6♦', 'J♠')
('6♦', 'J♥')
('6♦', 'J♦')
('6♦', 'J♣')
('6♦', '⑽♠')
('6♦', '⑽♥')
('6♦', '⑽♦')
('6♦', '⑽♣')
('6♦', '9♠')
('6♦', '9♥')
('6♦', '9♦')
('6♦', '9♣')
('6♦', '8♠')
('6♦', '8♥')
('6♦', '8♦')
('6♦', '8♣')
('6♦', '7♠')
('6♦', '7♥')
('6♦', '7♦')
('6♦', '7♣')
('6♦', '6♠')
('6♦', '6♥')
('6♦', '6♦')
('6♦', '6♣')
('6♦', '5♠')
('6♦', '5♥')
('6♦', '5♦')
('6♦', '5♣')
('6♦', '4♠')
('6♦', '4♥')
('6♦', '4♦')
('6♦', '4♣')
('6♦', '3♠')
('6♦', '3♥')
('6♦', '3♦')
('6♦', '3♣')
('6♦', '2♠')
('6♦', '2♥')
('6♦', '2♦')
('6♦', '2♣')
('6♣', 'A♠')
('6♣', 'A♥')
('6♣', 'A♦')
('6♣', 'A♣')
('6♣', 'K♠')
('6♣', 'K♥')
('6♣', 'K♦')
('6♣', 'K♣')
('6♣', 'Q♠')
('6♣', 'Q♥')
('6♣', 'Q♦')
('6♣', 'Q♣')
('6♣', 'J♠')
('6♣', 'J♥')
('6♣', 'J♦')
('6♣', 'J♣')
('6♣', '⑽♠')
('6♣', '⑽♥')
('6♣', '⑽♦')
('6♣', '⑽♣')
('6♣', '9♠')
('6♣', '9♥')
('6♣', '9♦')
('6♣', '9♣')
('6♣', '8♠')
('6♣', '8♥')
('6♣', '8♦')
('6♣', '8♣')
('6♣', '7♠')
('6♣', '7♥')
('6♣', '7♦')
('6♣', '7♣')
('6♣', '6♠')
('6♣', '6♥')
('6♣', '6♦')
('6♣', '6♣')
('6♣', '5♠')
('6♣', '5♥')
('6♣', '5♦')
('6♣', '5♣')
('6♣', '4♠')
('6♣', '4♥')
('6♣', '4♦')
('6♣', '4♣')
('6♣', '3♠')
('6♣', '3♥')
('6♣', '3♦')
('6♣', '3♣')
('6♣', '2♠')
('6♣', '2♥')
('6♣', '2♦')
('6♣', '2♣')
('5♠', 'A♠')
('5♠', 'A♥')
('5♠', 'A♦')
('5♠', 'A♣')
('5♠', 'K♠')
('5♠', 'K♥')
('5♠', 'K♦')
('5♠', 'K♣')
('5♠', 'Q♠')
('5♠', 'Q♥')
('5♠', 'Q♦')
('5♠', 'Q♣')
('5♠', 'J♠')
('5♠', 'J♥')
('5♠', 'J♦')
('5♠', 'J♣')
('5♠', '⑽♠')
('5♠', '⑽♥')
('5♠', '⑽♦')
('5♠', '⑽♣')
('5♠', '9♠')
('5♠', '9♥')
('5♠', '9♦')
('5♠', '9♣')
('5♠', '8♠')
('5♠', '8♥')
('5♠', '8♦')
('5♠', '8♣')
('5♠', '7♠')
('5♠', '7♥')
('5♠', '7♦')
('5♠', '7♣')
('5♠', '6♠')
('5♠', '6♥')
('5♠', '6♦')
('5♠', '6♣')
('5♠', '5♠')
('5♠', '5♥')
('5♠', '5♦')
('5♠', '5♣')
('5♠', '4♠')
('5♠', '4♥')
('5♠', '4♦')
('5♠', '4♣')
('5♠', '3♠')
('5♠', '3♥')
('5♠', '3♦')
('5♠', '3♣')
('5♠', '2♠')
('5♠', '2♥')
('5♠', '2♦')
('5♠', '2♣')
('5♥', 'A♠')
('5♥', 'A♥')
('5♥', 'A♦')
('5♥', 'A♣')
('5♥', 'K♠')
('5♥', 'K♥')
('5♥', 'K♦')
('5♥', 'K♣')
('5♥', 'Q♠')
('5♥', 'Q♥')
('5♥', 'Q♦')
('5♥', 'Q♣')
('5♥', 'J♠')
('5♥', 'J♥')
('5♥', 'J♦')
('5♥', 'J♣')
('5♥', '⑽♠')
('5♥', '⑽♥')
('5♥', '⑽♦')
('5♥', '⑽♣')
('5♥', '9♠')
('5♥', '9♥')
('5♥', '9♦')
('5♥', '9♣')
('5♥', '8♠')
('5♥', '8♥')
('5♥', '8♦')
('5♥', '8♣')
('5♥', '7♠')
('5♥', '7♥')
('5♥', '7♦')
('5♥', '7♣')
('5♥', '6♠')
('5♥', '6♥')
('5♥', '6♦')
('5♥', '6♣')
('5♥', '5♠')
('5♥', '5♥')
('5♥', '5♦')
('5♥', '5♣')
('5♥', '4♠')
('5♥', '4♥')
('5♥', '4♦')
('5♥', '4♣')
('5♥', '3♠')
('5♥', '3♥')
('5♥', '3♦')
('5♥', '3♣')
('5♥', '2♠')
('5♥', '2♥')
('5♥', '2♦')
('5♥', '2♣')
('5♦', 'A♠')
('5♦', 'A♥')
('5♦', 'A♦')
('5♦', 'A♣')
('5♦', 'K♠')
('5♦', 'K♥')
('5♦', 'K♦')
('5♦', 'K♣')
('5♦', 'Q♠')
('5♦', 'Q♥')
('5♦', 'Q♦')
('5♦', 'Q♣')
('5♦', 'J♠')
('5♦', 'J♥')
('5♦', 'J♦')
('5♦', 'J♣')
('5♦', '⑽♠')
('5♦', '⑽♥')
('5♦', '⑽♦')
('5♦', '⑽♣')
('5♦', '9♠')
('5♦', '9♥')
('5♦', '9♦')
('5♦', '9♣')
('5♦', '8♠')
('5♦', '8♥')
('5♦', '8♦')
('5♦', '8♣')
('5♦', '7♠')
('5♦', '7♥')
('5♦', '7♦')
('5♦', '7♣')
('5♦', '6♠')
('5♦', '6♥')
('5♦', '6♦')
('5♦', '6♣')
('5♦', '5♠')
('5♦', '5♥')
('5♦', '5♦')
('5♦', '5♣')
('5♦', '4♠')
('5♦', '4♥')
('5♦', '4♦')
('5♦', '4♣')
('5♦', '3♠')
('5♦', '3♥')
('5♦', '3♦')
('5♦', '3♣')
('5♦', '2♠')
('5♦', '2♥')
('5♦', '2♦')
('5♦', '2♣')
('5♣', 'A♠')
('5♣', 'A♥')
('5♣', 'A♦')
('5♣', 'A♣')
('5♣', 'K♠')
('5♣', 'K♥')
('5♣', 'K♦')
('5♣', 'K♣')
('5♣', 'Q♠')
('5♣', 'Q♥')
('5♣', 'Q♦')
('5♣', 'Q♣')
('5♣', 'J♠')
('5♣', 'J♥')
('5♣', 'J♦')
('5♣', 'J♣')
('5♣', '⑽♠')
('5♣', '⑽♥')
('5♣', '⑽♦')
('5♣', '⑽♣')
('5♣', '9♠')
('5♣', '9♥')
('5♣', '9♦')
('5♣', '9♣')
('5♣', '8♠')
('5♣', '8♥')
('5♣', '8♦')
('5♣', '8♣')
('5♣', '7♠')
('5♣', '7♥')
('5♣', '7♦')
('5♣', '7♣')
('5♣', '6♠')
('5♣', '6♥')
('5♣', '6♦')
('5♣', '6♣')
('5♣', '5♠')
('5♣', '5♥')
('5♣', '5♦')
('5♣', '5♣')
('5♣', '4♠')
('5♣', '4♥')
('5♣', '4♦')
('5♣', '4♣')
('5♣', '3♠')
('5♣', '3♥')
('5♣', '3♦')
('5♣', '3♣')
('5♣', '2♠')
('5♣', '2♥')
('5♣', '2♦')
('5♣', '2♣')
('4♠', 'A♠')
('4♠', 'A♥')
('4♠', 'A♦')
('4♠', 'A♣')
('4♠', 'K♠')
('4♠', 'K♥')
('4♠', 'K♦')
('4♠', 'K♣')
('4♠', 'Q♠')
('4♠', 'Q♥')
('4♠', 'Q♦')
('4♠', 'Q♣')
('4♠', 'J♠')
('4♠', 'J♥')
('4♠', 'J♦')
('4♠', 'J♣')
('4♠', '⑽♠')
('4♠', '⑽♥')
('4♠', '⑽♦')
('4♠', '⑽♣')
('4♠', '9♠')
('4♠', '9♥')
('4♠', '9♦')
('4♠', '9♣')
('4♠', '8♠')
('4♠', '8♥')
('4♠', '8♦')
('4♠', '8♣')
('4♠', '7♠')
('4♠', '7♥')
('4♠', '7♦')
('4♠', '7♣')
('4♠', '6♠')
('4♠', '6♥')
('4♠', '6♦')
('4♠', '6♣')
('4♠', '5♠')
('4♠', '5♥')
('4♠', '5♦')
('4♠', '5♣')
('4♠', '4♠')
('4♠', '4♥')
('4♠', '4♦')
('4♠', '4♣')
('4♠', '3♠')
('4♠', '3♥')
('4♠', '3♦')
('4♠', '3♣')
('4♠', '2♠')
('4♠', '2♥')
('4♠', '2♦')
('4♠', '2♣')
('4♥', 'A♠')
('4♥', 'A♥')
('4♥', 'A♦')
('4♥', 'A♣')
('4♥', 'K♠')
('4♥', 'K♥')
('4♥', 'K♦')
('4♥', 'K♣')
('4♥', 'Q♠')
('4♥', 'Q♥')
('4♥', 'Q♦')
('4♥', 'Q♣')
('4♥', 'J♠')
('4♥', 'J♥')
('4♥', 'J♦')
('4♥', 'J♣')
('4♥', '⑽♠')
('4♥', '⑽♥')
('4♥', '⑽♦')
('4♥', '⑽♣')
('4♥', '9♠')
('4♥', '9♥')
('4♥', '9♦')
('4♥', '9♣')
('4♥', '8♠')
('4♥', '8♥')
('4♥', '8♦')
('4♥', '8♣')
('4♥', '7♠')
('4♥', '7♥')
('4♥', '7♦')
('4♥', '7♣')
('4♥', '6♠')
('4♥', '6♥')
('4♥', '6♦')
('4♥', '6♣')
('4♥', '5♠')
('4♥', '5♥')
('4♥', '5♦')
('4♥', '5♣')
('4♥', '4♠')
('4♥', '4♥')
('4♥', '4♦')
('4♥', '4♣')
('4♥', '3♠')
('4♥', '3♥')
('4♥', '3♦')
('4♥', '3♣')
('4♥', '2♠')
('4♥', '2♥')
('4♥', '2♦')
('4♥', '2♣')
('4♦', 'A♠')
('4♦', 'A♥')
('4♦', 'A♦')
('4♦', 'A♣')
('4♦', 'K♠')
('4♦', 'K♥')
('4♦', 'K♦')
('4♦', 'K♣')
('4♦', 'Q♠')
('4♦', 'Q♥')
('4♦', 'Q♦')
('4♦', 'Q♣')
('4♦', 'J♠')
('4♦', 'J♥')
('4♦', 'J♦')
('4♦', 'J♣')
('4♦', '⑽♠')
('4♦', '⑽♥')
('4♦', '⑽♦')
('4♦', '⑽♣')
('4♦', '9♠')
('4♦', '9♥')
('4♦', '9♦')
('4♦', '9♣')
('4♦', '8♠')
('4♦', '8♥')
('4♦', '8♦')
('4♦', '8♣')
('4♦', '7♠')
('4♦', '7♥')
('4♦', '7♦')
('4♦', '7♣')
('4♦', '6♠')
('4♦', '6♥')
('4♦', '6♦')
('4♦', '6♣')
('4♦', '5♠')
('4♦', '5♥')
('4♦', '5♦')
('4♦', '5♣')
('4♦', '4♠')
('4♦', '4♥')
('4♦', '4♦')
('4♦', '4♣')
('4♦', '3♠')
('4♦', '3♥')
('4♦', '3♦')
('4♦', '3♣')
('4♦', '2♠')
('4♦', '2♥')
('4♦', '2♦')
('4♦', '2♣')
('4♣', 'A♠')
('4♣', 'A♥')
('4♣', 'A♦')
('4♣', 'A♣')
('4♣', 'K♠')
('4♣', 'K♥')
('4♣', 'K♦')
('4♣', 'K♣')
('4♣', 'Q♠')
('4♣', 'Q♥')
('4♣', 'Q♦')
('4♣', 'Q♣')
('4♣', 'J♠')
('4♣', 'J♥')
('4♣', 'J♦')
('4♣', 'J♣')
('4♣', '⑽♠')
('4♣', '⑽♥')
('4♣', '⑽♦')
('4♣', '⑽♣')
('4♣', '9♠')
('4♣', '9♥')
('4♣', '9♦')
('4♣', '9♣')
('4♣', '8♠')
('4♣', '8♥')
('4♣', '8♦')
('4♣', '8♣')
('4♣', '7♠')
('4♣', '7♥')
('4♣', '7♦')
('4♣', '7♣')
('4♣', '6♠')
('4♣', '6♥')
('4♣', '6♦')
('4♣', '6♣')
('4♣', '5♠')
('4♣', '5♥')
('4♣', '5♦')
('4♣', '5♣')
('4♣', '4♠')
('4♣', '4♥')
('4♣', '4♦')
('4♣', '4♣')
('4♣', '3♠')
('4♣', '3♥')
('4♣', '3♦')
('4♣', '3♣')
('4♣', '2♠')
('4♣', '2♥')
('4♣', '2♦')
('4♣', '2♣')
('3♠', 'A♠')
('3♠', 'A♥')
('3♠', 'A♦')
('3♠', 'A♣')
('3♠', 'K♠')
('3♠', 'K♥')
('3♠', 'K♦')
('3♠', 'K♣')
('3♠', 'Q♠')
('3♠', 'Q♥')
('3♠', 'Q♦')
('3♠', 'Q♣')
('3♠', 'J♠')
('3♠', 'J♥')
('3♠', 'J♦')
('3♠', 'J♣')
('3♠', '⑽♠')
('3♠', '⑽♥')
('3♠', '⑽♦')
('3♠', '⑽♣')
('3♠', '9♠')
('3♠', '9♥')
('3♠', '9♦')
('3♠', '9♣')
('3♠', '8♠')
('3♠', '8♥')
('3♠', '8♦')
('3♠', '8♣')
('3♠', '7♠')
('3♠', '7♥')
('3♠', '7♦')
('3♠', '7♣')
('3♠', '6♠')
('3♠', '6♥')
('3♠', '6♦')
('3♠', '6♣')
('3♠', '5♠')
('3♠', '5♥')
('3♠', '5♦')
('3♠', '5♣')
('3♠', '4♠')
('3♠', '4♥')
('3♠', '4♦')
('3♠', '4♣')
('3♠', '3♠')
('3♠', '3♥')
('3♠', '3♦')
('3♠', '3♣')
('3♠', '2♠')
('3♠', '2♥')
('3♠', '2♦')
('3♠', '2♣')
('3♥', 'A♠')
('3♥', 'A♥')
('3♥', 'A♦')
('3♥', 'A♣')
('3♥', 'K♠')
('3♥', 'K♥')
('3♥', 'K♦')
('3♥', 'K♣')
('3♥', 'Q♠')
('3♥', 'Q♥')
('3♥', 'Q♦')
('3♥', 'Q♣')
('3♥', 'J♠')
('3♥', 'J♥')
('3♥', 'J♦')
('3♥', 'J♣')
('3♥', '⑽♠')
('3♥', '⑽♥')
('3♥', '⑽♦')
('3♥', '⑽♣')
('3♥', '9♠')
('3♥', '9♥')
('3♥', '9♦')
('3♥', '9♣')
('3♥', '8♠')
('3♥', '8♥')
('3♥', '8♦')
('3♥', '8♣')
('3♥', '7♠')
('3♥', '7♥')
('3♥', '7♦')
('3♥', '7♣')
('3♥', '6♠')
('3♥', '6♥')
('3♥', '6♦')
('3♥', '6♣')
('3♥', '5♠')
('3♥', '5♥')
('3♥', '5♦')
('3♥', '5♣')
('3♥', '4♠')
('3♥', '4♥')
('3♥', '4♦')
('3♥', '4♣')
('3♥', '3♠')
('3♥', '3♥')
('3♥', '3♦')
('3♥', '3♣')
('3♥', '2♠')
('3♥', '2♥')
('3♥', '2♦')
('3♥', '2♣')
('3♦', 'A♠')
('3♦', 'A♥')
('3♦', 'A♦')
('3♦', 'A♣')
('3♦', 'K♠')
('3♦', 'K♥')
('3♦', 'K♦')
('3♦', 'K♣')
('3♦', 'Q♠')
('3♦', 'Q♥')
('3♦', 'Q♦')
('3♦', 'Q♣')
('3♦', 'J♠')
('3♦', 'J♥')
('3♦', 'J♦')
('3♦', 'J♣')
('3♦', '⑽♠')
('3♦', '⑽♥')
('3♦', '⑽♦')
('3♦', '⑽♣')
('3♦', '9♠')
('3♦', '9♥')
('3♦', '9♦')
('3♦', '9♣')
('3♦', '8♠')
('3♦', '8♥')
('3♦', '8♦')
('3♦', '8♣')
('3♦', '7♠')
('3♦', '7♥')
('3♦', '7♦')
('3♦', '7♣')
('3♦', '6♠')
('3♦', '6♥')
('3♦', '6♦')
('3♦', '6♣')
('3♦', '5♠')
('3♦', '5♥')
('3♦', '5♦')
('3♦', '5♣')
('3♦', '4♠')
('3♦', '4♥')
('3♦', '4♦')
('3♦', '4♣')
('3♦', '3♠')
('3♦', '3♥')
('3♦', '3♦')
('3♦', '3♣')
('3♦', '2♠')
('3♦', '2♥')
('3♦', '2♦')
('3♦', '2♣')
('3♣', 'A♠')
('3♣', 'A♥')
('3♣', 'A♦')
('3♣', 'A♣')
('3♣', 'K♠')
('3♣', 'K♥')
('3♣', 'K♦')
('3♣', 'K♣')
('3♣', 'Q♠')
('3♣', 'Q♥')
('3♣', 'Q♦')
('3♣', 'Q♣')
('3♣', 'J♠')
('3♣', 'J♥')
('3♣', 'J♦')
('3♣', 'J♣')
('3♣', '⑽♠')
('3♣', '⑽♥')
('3♣', '⑽♦')
('3♣', '⑽♣')
('3♣', '9♠')
('3♣', '9♥')
('3♣', '9♦')
('3♣', '9♣')
('3♣', '8♠')
('3♣', '8♥')
('3♣', '8♦')
('3♣', '8♣')
('3♣', '7♠')
('3♣', '7♥')
('3♣', '7♦')
('3♣', '7♣')
('3♣', '6♠')
('3♣', '6♥')
('3♣', '6♦')
('3♣', '6♣')
('3♣', '5♠')
('3♣', '5♥')
('3♣', '5♦')
('3♣', '5♣')
('3♣', '4♠')
('3♣', '4♥')
('3♣', '4♦')
('3♣', '4♣')
('3♣', '3♠')
('3♣', '3♥')
('3♣', '3♦')
('3♣', '3♣')
('3♣', '2♠')
('3♣', '2♥')
('3♣', '2♦')
('3♣', '2♣')
('2♠', 'A♠')
('2♠', 'A♥')
('2♠', 'A♦')
('2♠', 'A♣')
('2♠', 'K♠')
('2♠', 'K♥')
('2♠', 'K♦')
('2♠', 'K♣')
('2♠', 'Q♠')
('2♠', 'Q♥')
('2♠', 'Q♦')
('2♠', 'Q♣')
('2♠', 'J♠')
('2♠', 'J♥')
('2♠', 'J♦')
('2♠', 'J♣')
('2♠', '⑽♠')
('2♠', '⑽♥')
('2♠', '⑽♦')
('2♠', '⑽♣')
('2♠', '9♠')
('2♠', '9♥')
('2♠', '9♦')
('2♠', '9♣')
('2♠', '8♠')
('2♠', '8♥')
('2♠', '8♦')
('2♠', '8♣')
('2♠', '7♠')
('2♠', '7♥')
('2♠', '7♦')
('2♠', '7♣')
('2♠', '6♠')
('2♠', '6♥')
('2♠', '6♦')
('2♠', '6♣')
('2♠', '5♠')
('2♠', '5♥')
('2♠', '5♦')
('2♠', '5♣')
('2♠', '4♠')
('2♠', '4♥')
('2♠', '4♦')
('2♠', '4♣')
('2♠', '3♠')
('2♠', '3♥')
('2♠', '3♦')
('2♠', '3♣')
('2♠', '2♠')
('2♠', '2♥')
('2♠', '2♦')
('2♠', '2♣')
('2♥', 'A♠')
('2♥', 'A♥')
('2♥', 'A♦')
('2♥', 'A♣')
('2♥', 'K♠')
('2♥', 'K♥')
('2♥', 'K♦')
('2♥', 'K♣')
('2♥', 'Q♠')
('2♥', 'Q♥')
('2♥', 'Q♦')
('2♥', 'Q♣')
('2♥', 'J♠')
('2♥', 'J♥')
('2♥', 'J♦')
('2♥', 'J♣')
('2♥', '⑽♠')
('2♥', '⑽♥')
('2♥', '⑽♦')
('2♥', '⑽♣')
('2♥', '9♠')
('2♥', '9♥')
('2♥', '9♦')
('2♥', '9♣')
('2♥', '8♠')
('2♥', '8♥')
('2♥', '8♦')
('2♥', '8♣')
('2♥', '7♠')
('2♥', '7♥')
('2♥', '7♦')
('2♥', '7♣')
('2♥', '6♠')
('2♥', '6♥')
('2♥', '6♦')
('2♥', '6♣')
('2♥', '5♠')
('2♥', '5♥')
('2♥', '5♦')
('2♥', '5♣')
('2♥', '4♠')
('2♥', '4♥')
('2♥', '4♦')
('2♥', '4♣')
('2♥', '3♠')
('2♥', '3♥')
('2♥', '3♦')
('2♥', '3♣')
('2♥', '2♠')
('2♥', '2♥')
('2♥', '2♦')
('2♥', '2♣')
('2♦', 'A♠')
('2♦', 'A♥')
('2♦', 'A♦')
('2♦', 'A♣')
('2♦', 'K♠')
('2♦', 'K♥')
('2♦', 'K♦')
('2♦', 'K♣')
('2♦', 'Q♠')
('2♦', 'Q♥')
('2♦', 'Q♦')
('2♦', 'Q♣')
('2♦', 'J♠')
('2♦', 'J♥')
('2♦', 'J♦')
('2♦', 'J♣')
('2♦', '⑽♠')
('2♦', '⑽♥')
('2♦', '⑽♦')
('2♦', '⑽♣')
('2♦', '9♠')
('2♦', '9♥')
('2♦', '9♦')
('2♦', '9♣')
('2♦', '8♠')
('2♦', '8♥')
('2♦', '8♦')
('2♦', '8♣')
('2♦', '7♠')
('2♦', '7♥')
('2♦', '7♦')
('2♦', '7♣')
('2♦', '6♠')
('2♦', '6♥')
('2♦', '6♦')
('2♦', '6♣')
('2♦', '5♠')
('2♦', '5♥')
('2♦', '5♦')
('2♦', '5♣')
('2♦', '4♠')
('2♦', '4♥')
('2♦', '4♦')
('2♦', '4♣')
('2♦', '3♠')
('2♦', '3♥')
('2♦', '3♦')
('2♦', '3♣')
('2♦', '2♠')
('2♦', '2♥')
('2♦', '2♦')
('2♦', '2♣')
('2♣', 'A♠')
('2♣', 'A♥')
('2♣', 'A♦')
('2♣', 'A♣')
('2♣', 'K♠')
('2♣', 'K♥')
('2♣', 'K♦')
('2♣', 'K♣')
('2♣', 'Q♠')
('2♣', 'Q♥')
('2♣', 'Q♦')
('2♣', 'Q♣')
('2♣', 'J♠')
('2♣', 'J♥')
('2♣', 'J♦')
('2♣', 'J♣')
('2♣', '⑽♠')
('2♣', '⑽♥')
('2♣', '⑽♦')
('2♣', '⑽♣')
('2♣', '9♠')
('2♣', '9♥')
('2♣', '9♦')
('2♣', '9♣')
('2♣', '8♠')
('2♣', '8♥')
('2♣', '8♦')
('2♣', '8♣')
('2♣', '7♠')
('2♣', '7♥')
('2♣', '7♦')
('2♣', '7♣')
('2♣', '6♠')
('2♣', '6♥')
('2♣', '6♦')
('2♣', '6♣')
('2♣', '5♠')
('2♣', '5♥')
('2♣', '5♦')
('2♣', '5♣')
('2♣', '4♠')
('2♣', '4♥')
('2♣', '4♦')
('2♣', '4♣')
('2♣', '3♠')
('2♣', '3♥')
('2♣', '3♦')
('2♣', '3♣')
('2♣', '2♠')
('2♣', '2♥')
('2♣', '2♦')
('2♣', '2♣')
To check whether it’s working correctly, it will be useful to count the number of elements in an iterator, which is what ilen does.
This idiom is discussed on Stack Overflow.
def ilen(it):
return sum(1 for _ in it)
Now we can use it to count the pairs of cards.
it1 = card_generator(ranks, suits)
it2 = card_generator(ranks, suits)
ilen(product(it1, it2))
2704
If things have gone according to plan, the number of pairs should be \(52^2\).
52**2
2704
Notice that we have to create new card iterators every time, because once they are used up, they behave like an empty list. Here’s what happens if we try to use them again.
ilen(product(it1, it2))
0
That’s also why we had to create two card iterators. If you create one and try to use it twice, it doesn’t work.
it = card_generator(ranks, suits)
ilen(product(it, it))
0
However, you can get around this limitation by calling product with the repeat argument, which makes it possible to use a single iterator to generate a Cartesian product.
it = card_generator(ranks, suits)
ilen(product(it, repeat=2))
2704
Permutations#
In the previous section, you might have noticed that some of the hands we generated are impossible because they contain the same card more than once.
One way to solve this problem is to generate all pairs and then eliminate the ones that contain duplicates.
it = card_generator(ranks, suits)
for hand in product(it, repeat=2):
if len(hand) == len(set(hand)):
print(hand)
('A♠', 'A♥')
('A♠', 'A♦')
('A♠', 'A♣')
('A♠', 'K♠')
('A♠', 'K♥')
('A♠', 'K♦')
('A♠', 'K♣')
('A♠', 'Q♠')
('A♠', 'Q♥')
('A♠', 'Q♦')
('A♠', 'Q♣')
('A♠', 'J♠')
('A♠', 'J♥')
('A♠', 'J♦')
('A♠', 'J♣')
('A♠', '⑽♠')
('A♠', '⑽♥')
('A♠', '⑽♦')
('A♠', '⑽♣')
('A♠', '9♠')
('A♠', '9♥')
('A♠', '9♦')
('A♠', '9♣')
('A♠', '8♠')
('A♠', '8♥')
('A♠', '8♦')
('A♠', '8♣')
('A♠', '7♠')
('A♠', '7♥')
('A♠', '7♦')
('A♠', '7♣')
('A♠', '6♠')
('A♠', '6♥')
('A♠', '6♦')
('A♠', '6♣')
('A♠', '5♠')
('A♠', '5♥')
('A♠', '5♦')
('A♠', '5♣')
('A♠', '4♠')
('A♠', '4♥')
('A♠', '4♦')
('A♠', '4♣')
('A♠', '3♠')
('A♠', '3♥')
('A♠', '3♦')
('A♠', '3♣')
('A♠', '2♠')
('A♠', '2♥')
('A♠', '2♦')
('A♠', '2♣')
('A♥', 'A♠')
('A♥', 'A♦')
('A♥', 'A♣')
('A♥', 'K♠')
('A♥', 'K♥')
('A♥', 'K♦')
('A♥', 'K♣')
('A♥', 'Q♠')
('A♥', 'Q♥')
('A♥', 'Q♦')
('A♥', 'Q♣')
('A♥', 'J♠')
('A♥', 'J♥')
('A♥', 'J♦')
('A♥', 'J♣')
('A♥', '⑽♠')
('A♥', '⑽♥')
('A♥', '⑽♦')
('A♥', '⑽♣')
('A♥', '9♠')
('A♥', '9♥')
('A♥', '9♦')
('A♥', '9♣')
('A♥', '8♠')
('A♥', '8♥')
('A♥', '8♦')
('A♥', '8♣')
('A♥', '7♠')
('A♥', '7♥')
('A♥', '7♦')
('A♥', '7♣')
('A♥', '6♠')
('A♥', '6♥')
('A♥', '6♦')
('A♥', '6♣')
('A♥', '5♠')
('A♥', '5♥')
('A♥', '5♦')
('A♥', '5♣')
('A♥', '4♠')
('A♥', '4♥')
('A♥', '4♦')
('A♥', '4♣')
('A♥', '3♠')
('A♥', '3♥')
('A♥', '3♦')
('A♥', '3♣')
('A♥', '2♠')
('A♥', '2♥')
('A♥', '2♦')
('A♥', '2♣')
('A♦', 'A♠')
('A♦', 'A♥')
('A♦', 'A♣')
('A♦', 'K♠')
('A♦', 'K♥')
('A♦', 'K♦')
('A♦', 'K♣')
('A♦', 'Q♠')
('A♦', 'Q♥')
('A♦', 'Q♦')
('A♦', 'Q♣')
('A♦', 'J♠')
('A♦', 'J♥')
('A♦', 'J♦')
('A♦', 'J♣')
('A♦', '⑽♠')
('A♦', '⑽♥')
('A♦', '⑽♦')
('A♦', '⑽♣')
('A♦', '9♠')
('A♦', '9♥')
('A♦', '9♦')
('A♦', '9♣')
('A♦', '8♠')
('A♦', '8♥')
('A♦', '8♦')
('A♦', '8♣')
('A♦', '7♠')
('A♦', '7♥')
('A♦', '7♦')
('A♦', '7♣')
('A♦', '6♠')
('A♦', '6♥')
('A♦', '6♦')
('A♦', '6♣')
('A♦', '5♠')
('A♦', '5♥')
('A♦', '5♦')
('A♦', '5♣')
('A♦', '4♠')
('A♦', '4♥')
('A♦', '4♦')
('A♦', '4♣')
('A♦', '3♠')
('A♦', '3♥')
('A♦', '3♦')
('A♦', '3♣')
('A♦', '2♠')
('A♦', '2♥')
('A♦', '2♦')
('A♦', '2♣')
('A♣', 'A♠')
('A♣', 'A♥')
('A♣', 'A♦')
('A♣', 'K♠')
('A♣', 'K♥')
('A♣', 'K♦')
('A♣', 'K♣')
('A♣', 'Q♠')
('A♣', 'Q♥')
('A♣', 'Q♦')
('A♣', 'Q♣')
('A♣', 'J♠')
('A♣', 'J♥')
('A♣', 'J♦')
('A♣', 'J♣')
('A♣', '⑽♠')
('A♣', '⑽♥')
('A♣', '⑽♦')
('A♣', '⑽♣')
('A♣', '9♠')
('A♣', '9♥')
('A♣', '9♦')
('A♣', '9♣')
('A♣', '8♠')
('A♣', '8♥')
('A♣', '8♦')
('A♣', '8♣')
('A♣', '7♠')
('A♣', '7♥')
('A♣', '7♦')
('A♣', '7♣')
('A♣', '6♠')
('A♣', '6♥')
('A♣', '6♦')
('A♣', '6♣')
('A♣', '5♠')
('A♣', '5♥')
('A♣', '5♦')
('A♣', '5♣')
('A♣', '4♠')
('A♣', '4♥')
('A♣', '4♦')
('A♣', '4♣')
('A♣', '3♠')
('A♣', '3♥')
('A♣', '3♦')
('A♣', '3♣')
('A♣', '2♠')
('A♣', '2♥')
('A♣', '2♦')
('A♣', '2♣')
('K♠', 'A♠')
('K♠', 'A♥')
('K♠', 'A♦')
('K♠', 'A♣')
('K♠', 'K♥')
('K♠', 'K♦')
('K♠', 'K♣')
('K♠', 'Q♠')
('K♠', 'Q♥')
('K♠', 'Q♦')
('K♠', 'Q♣')
('K♠', 'J♠')
('K♠', 'J♥')
('K♠', 'J♦')
('K♠', 'J♣')
('K♠', '⑽♠')
('K♠', '⑽♥')
('K♠', '⑽♦')
('K♠', '⑽♣')
('K♠', '9♠')
('K♠', '9♥')
('K♠', '9♦')
('K♠', '9♣')
('K♠', '8♠')
('K♠', '8♥')
('K♠', '8♦')
('K♠', '8♣')
('K♠', '7♠')
('K♠', '7♥')
('K♠', '7♦')
('K♠', '7♣')
('K♠', '6♠')
('K♠', '6♥')
('K♠', '6♦')
('K♠', '6♣')
('K♠', '5♠')
('K♠', '5♥')
('K♠', '5♦')
('K♠', '5♣')
('K♠', '4♠')
('K♠', '4♥')
('K♠', '4♦')
('K♠', '4♣')
('K♠', '3♠')
('K♠', '3♥')
('K♠', '3♦')
('K♠', '3♣')
('K♠', '2♠')
('K♠', '2♥')
('K♠', '2♦')
('K♠', '2♣')
('K♥', 'A♠')
('K♥', 'A♥')
('K♥', 'A♦')
('K♥', 'A♣')
('K♥', 'K♠')
('K♥', 'K♦')
('K♥', 'K♣')
('K♥', 'Q♠')
('K♥', 'Q♥')
('K♥', 'Q♦')
('K♥', 'Q♣')
('K♥', 'J♠')
('K♥', 'J♥')
('K♥', 'J♦')
('K♥', 'J♣')
('K♥', '⑽♠')
('K♥', '⑽♥')
('K♥', '⑽♦')
('K♥', '⑽♣')
('K♥', '9♠')
('K♥', '9♥')
('K♥', '9♦')
('K♥', '9♣')
('K♥', '8♠')
('K♥', '8♥')
('K♥', '8♦')
('K♥', '8♣')
('K♥', '7♠')
('K♥', '7♥')
('K♥', '7♦')
('K♥', '7♣')
('K♥', '6♠')
('K♥', '6♥')
('K♥', '6♦')
('K♥', '6♣')
('K♥', '5♠')
('K♥', '5♥')
('K♥', '5♦')
('K♥', '5♣')
('K♥', '4♠')
('K♥', '4♥')
('K♥', '4♦')
('K♥', '4♣')
('K♥', '3♠')
('K♥', '3♥')
('K♥', '3♦')
('K♥', '3♣')
('K♥', '2♠')
('K♥', '2♥')
('K♥', '2♦')
('K♥', '2♣')
('K♦', 'A♠')
('K♦', 'A♥')
('K♦', 'A♦')
('K♦', 'A♣')
('K♦', 'K♠')
('K♦', 'K♥')
('K♦', 'K♣')
('K♦', 'Q♠')
('K♦', 'Q♥')
('K♦', 'Q♦')
('K♦', 'Q♣')
('K♦', 'J♠')
('K♦', 'J♥')
('K♦', 'J♦')
('K♦', 'J♣')
('K♦', '⑽♠')
('K♦', '⑽♥')
('K♦', '⑽♦')
('K♦', '⑽♣')
('K♦', '9♠')
('K♦', '9♥')
('K♦', '9♦')
('K♦', '9♣')
('K♦', '8♠')
('K♦', '8♥')
('K♦', '8♦')
('K♦', '8♣')
('K♦', '7♠')
('K♦', '7♥')
('K♦', '7♦')
('K♦', '7♣')
('K♦', '6♠')
('K♦', '6♥')
('K♦', '6♦')
('K♦', '6♣')
('K♦', '5♠')
('K♦', '5♥')
('K♦', '5♦')
('K♦', '5♣')
('K♦', '4♠')
('K♦', '4♥')
('K♦', '4♦')
('K♦', '4♣')
('K♦', '3♠')
('K♦', '3♥')
('K♦', '3♦')
('K♦', '3♣')
('K♦', '2♠')
('K♦', '2♥')
('K♦', '2♦')
('K♦', '2♣')
('K♣', 'A♠')
('K♣', 'A♥')
('K♣', 'A♦')
('K♣', 'A♣')
('K♣', 'K♠')
('K♣', 'K♥')
('K♣', 'K♦')
('K♣', 'Q♠')
('K♣', 'Q♥')
('K♣', 'Q♦')
('K♣', 'Q♣')
('K♣', 'J♠')
('K♣', 'J♥')
('K♣', 'J♦')
('K♣', 'J♣')
('K♣', '⑽♠')
('K♣', '⑽♥')
('K♣', '⑽♦')
('K♣', '⑽♣')
('K♣', '9♠')
('K♣', '9♥')
('K♣', '9♦')
('K♣', '9♣')
('K♣', '8♠')
('K♣', '8♥')
('K♣', '8♦')
('K♣', '8♣')
('K♣', '7♠')
('K♣', '7♥')
('K♣', '7♦')
('K♣', '7♣')
('K♣', '6♠')
('K♣', '6♥')
('K♣', '6♦')
('K♣', '6♣')
('K♣', '5♠')
('K♣', '5♥')
('K♣', '5♦')
('K♣', '5♣')
('K♣', '4♠')
('K♣', '4♥')
('K♣', '4♦')
('K♣', '4♣')
('K♣', '3♠')
('K♣', '3♥')
('K♣', '3♦')
('K♣', '3♣')
('K♣', '2♠')
('K♣', '2♥')
('K♣', '2♦')
('K♣', '2♣')
('Q♠', 'A♠')
('Q♠', 'A♥')
('Q♠', 'A♦')
('Q♠', 'A♣')
('Q♠', 'K♠')
('Q♠', 'K♥')
('Q♠', 'K♦')
('Q♠', 'K♣')
('Q♠', 'Q♥')
('Q♠', 'Q♦')
('Q♠', 'Q♣')
('Q♠', 'J♠')
('Q♠', 'J♥')
('Q♠', 'J♦')
('Q♠', 'J♣')
('Q♠', '⑽♠')
('Q♠', '⑽♥')
('Q♠', '⑽♦')
('Q♠', '⑽♣')
('Q♠', '9♠')
('Q♠', '9♥')
('Q♠', '9♦')
('Q♠', '9♣')
('Q♠', '8♠')
('Q♠', '8♥')
('Q♠', '8♦')
('Q♠', '8♣')
('Q♠', '7♠')
('Q♠', '7♥')
('Q♠', '7♦')
('Q♠', '7♣')
('Q♠', '6♠')
('Q♠', '6♥')
('Q♠', '6♦')
('Q♠', '6♣')
('Q♠', '5♠')
('Q♠', '5♥')
('Q♠', '5♦')
('Q♠', '5♣')
('Q♠', '4♠')
('Q♠', '4♥')
('Q♠', '4♦')
('Q♠', '4♣')
('Q♠', '3♠')
('Q♠', '3♥')
('Q♠', '3♦')
('Q♠', '3♣')
('Q♠', '2♠')
('Q♠', '2♥')
('Q♠', '2♦')
('Q♠', '2♣')
('Q♥', 'A♠')
('Q♥', 'A♥')
('Q♥', 'A♦')
('Q♥', 'A♣')
('Q♥', 'K♠')
('Q♥', 'K♥')
('Q♥', 'K♦')
('Q♥', 'K♣')
('Q♥', 'Q♠')
('Q♥', 'Q♦')
('Q♥', 'Q♣')
('Q♥', 'J♠')
('Q♥', 'J♥')
('Q♥', 'J♦')
('Q♥', 'J♣')
('Q♥', '⑽♠')
('Q♥', '⑽♥')
('Q♥', '⑽♦')
('Q♥', '⑽♣')
('Q♥', '9♠')
('Q♥', '9♥')
('Q♥', '9♦')
('Q♥', '9♣')
('Q♥', '8♠')
('Q♥', '8♥')
('Q♥', '8♦')
('Q♥', '8♣')
('Q♥', '7♠')
('Q♥', '7♥')
('Q♥', '7♦')
('Q♥', '7♣')
('Q♥', '6♠')
('Q♥', '6♥')
('Q♥', '6♦')
('Q♥', '6♣')
('Q♥', '5♠')
('Q♥', '5♥')
('Q♥', '5♦')
('Q♥', '5♣')
('Q♥', '4♠')
('Q♥', '4♥')
('Q♥', '4♦')
('Q♥', '4♣')
('Q♥', '3♠')
('Q♥', '3♥')
('Q♥', '3♦')
('Q♥', '3♣')
('Q♥', '2♠')
('Q♥', '2♥')
('Q♥', '2♦')
('Q♥', '2♣')
('Q♦', 'A♠')
('Q♦', 'A♥')
('Q♦', 'A♦')
('Q♦', 'A♣')
('Q♦', 'K♠')
('Q♦', 'K♥')
('Q♦', 'K♦')
('Q♦', 'K♣')
('Q♦', 'Q♠')
('Q♦', 'Q♥')
('Q♦', 'Q♣')
('Q♦', 'J♠')
('Q♦', 'J♥')
('Q♦', 'J♦')
('Q♦', 'J♣')
('Q♦', '⑽♠')
('Q♦', '⑽♥')
('Q♦', '⑽♦')
('Q♦', '⑽♣')
('Q♦', '9♠')
('Q♦', '9♥')
('Q♦', '9♦')
('Q♦', '9♣')
('Q♦', '8♠')
('Q♦', '8♥')
('Q♦', '8♦')
('Q♦', '8♣')
('Q♦', '7♠')
('Q♦', '7♥')
('Q♦', '7♦')
('Q♦', '7♣')
('Q♦', '6♠')
('Q♦', '6♥')
('Q♦', '6♦')
('Q♦', '6♣')
('Q♦', '5♠')
('Q♦', '5♥')
('Q♦', '5♦')
('Q♦', '5♣')
('Q♦', '4♠')
('Q♦', '4♥')
('Q♦', '4♦')
('Q♦', '4♣')
('Q♦', '3♠')
('Q♦', '3♥')
('Q♦', '3♦')
('Q♦', '3♣')
('Q♦', '2♠')
('Q♦', '2♥')
('Q♦', '2♦')
('Q♦', '2♣')
('Q♣', 'A♠')
('Q♣', 'A♥')
('Q♣', 'A♦')
('Q♣', 'A♣')
('Q♣', 'K♠')
('Q♣', 'K♥')
('Q♣', 'K♦')
('Q♣', 'K♣')
('Q♣', 'Q♠')
('Q♣', 'Q♥')
('Q♣', 'Q♦')
('Q♣', 'J♠')
('Q♣', 'J♥')
('Q♣', 'J♦')
('Q♣', 'J♣')
('Q♣', '⑽♠')
('Q♣', '⑽♥')
('Q♣', '⑽♦')
('Q♣', '⑽♣')
('Q♣', '9♠')
('Q♣', '9♥')
('Q♣', '9♦')
('Q♣', '9♣')
('Q♣', '8♠')
('Q♣', '8♥')
('Q♣', '8♦')
('Q♣', '8♣')
('Q♣', '7♠')
('Q♣', '7♥')
('Q♣', '7♦')
('Q♣', '7♣')
('Q♣', '6♠')
('Q♣', '6♥')
('Q♣', '6♦')
('Q♣', '6♣')
('Q♣', '5♠')
('Q♣', '5♥')
('Q♣', '5♦')
('Q♣', '5♣')
('Q♣', '4♠')
('Q♣', '4♥')
('Q♣', '4♦')
('Q♣', '4♣')
('Q♣', '3♠')
('Q♣', '3♥')
('Q♣', '3♦')
('Q♣', '3♣')
('Q♣', '2♠')
('Q♣', '2♥')
('Q♣', '2♦')
('Q♣', '2♣')
('J♠', 'A♠')
('J♠', 'A♥')
('J♠', 'A♦')
('J♠', 'A♣')
('J♠', 'K♠')
('J♠', 'K♥')
('J♠', 'K♦')
('J♠', 'K♣')
('J♠', 'Q♠')
('J♠', 'Q♥')
('J♠', 'Q♦')
('J♠', 'Q♣')
('J♠', 'J♥')
('J♠', 'J♦')
('J♠', 'J♣')
('J♠', '⑽♠')
('J♠', '⑽♥')
('J♠', '⑽♦')
('J♠', '⑽♣')
('J♠', '9♠')
('J♠', '9♥')
('J♠', '9♦')
('J♠', '9♣')
('J♠', '8♠')
('J♠', '8♥')
('J♠', '8♦')
('J♠', '8♣')
('J♠', '7♠')
('J♠', '7♥')
('J♠', '7♦')
('J♠', '7♣')
('J♠', '6♠')
('J♠', '6♥')
('J♠', '6♦')
('J♠', '6♣')
('J♠', '5♠')
('J♠', '5♥')
('J♠', '5♦')
('J♠', '5♣')
('J♠', '4♠')
('J♠', '4♥')
('J♠', '4♦')
('J♠', '4♣')
('J♠', '3♠')
('J♠', '3♥')
('J♠', '3♦')
('J♠', '3♣')
('J♠', '2♠')
('J♠', '2♥')
('J♠', '2♦')
('J♠', '2♣')
('J♥', 'A♠')
('J♥', 'A♥')
('J♥', 'A♦')
('J♥', 'A♣')
('J♥', 'K♠')
('J♥', 'K♥')
('J♥', 'K♦')
('J♥', 'K♣')
('J♥', 'Q♠')
('J♥', 'Q♥')
('J♥', 'Q♦')
('J♥', 'Q♣')
('J♥', 'J♠')
('J♥', 'J♦')
('J♥', 'J♣')
('J♥', '⑽♠')
('J♥', '⑽♥')
('J♥', '⑽♦')
('J♥', '⑽♣')
('J♥', '9♠')
('J♥', '9♥')
('J♥', '9♦')
('J♥', '9♣')
('J♥', '8♠')
('J♥', '8♥')
('J♥', '8♦')
('J♥', '8♣')
('J♥', '7♠')
('J♥', '7♥')
('J♥', '7♦')
('J♥', '7♣')
('J♥', '6♠')
('J♥', '6♥')
('J♥', '6♦')
('J♥', '6♣')
('J♥', '5♠')
('J♥', '5♥')
('J♥', '5♦')
('J♥', '5♣')
('J♥', '4♠')
('J♥', '4♥')
('J♥', '4♦')
('J♥', '4♣')
('J♥', '3♠')
('J♥', '3♥')
('J♥', '3♦')
('J♥', '3♣')
('J♥', '2♠')
('J♥', '2♥')
('J♥', '2♦')
('J♥', '2♣')
('J♦', 'A♠')
('J♦', 'A♥')
('J♦', 'A♦')
('J♦', 'A♣')
('J♦', 'K♠')
('J♦', 'K♥')
('J♦', 'K♦')
('J♦', 'K♣')
('J♦', 'Q♠')
('J♦', 'Q♥')
('J♦', 'Q♦')
('J♦', 'Q♣')
('J♦', 'J♠')
('J♦', 'J♥')
('J♦', 'J♣')
('J♦', '⑽♠')
('J♦', '⑽♥')
('J♦', '⑽♦')
('J♦', '⑽♣')
('J♦', '9♠')
('J♦', '9♥')
('J♦', '9♦')
('J♦', '9♣')
('J♦', '8♠')
('J♦', '8♥')
('J♦', '8♦')
('J♦', '8♣')
('J♦', '7♠')
('J♦', '7♥')
('J♦', '7♦')
('J♦', '7♣')
('J♦', '6♠')
('J♦', '6♥')
('J♦', '6♦')
('J♦', '6♣')
('J♦', '5♠')
('J♦', '5♥')
('J♦', '5♦')
('J♦', '5♣')
('J♦', '4♠')
('J♦', '4♥')
('J♦', '4♦')
('J♦', '4♣')
('J♦', '3♠')
('J♦', '3♥')
('J♦', '3♦')
('J♦', '3♣')
('J♦', '2♠')
('J♦', '2♥')
('J♦', '2♦')
('J♦', '2♣')
('J♣', 'A♠')
('J♣', 'A♥')
('J♣', 'A♦')
('J♣', 'A♣')
('J♣', 'K♠')
('J♣', 'K♥')
('J♣', 'K♦')
('J♣', 'K♣')
('J♣', 'Q♠')
('J♣', 'Q♥')
('J♣', 'Q♦')
('J♣', 'Q♣')
('J♣', 'J♠')
('J♣', 'J♥')
('J♣', 'J♦')
('J♣', '⑽♠')
('J♣', '⑽♥')
('J♣', '⑽♦')
('J♣', '⑽♣')
('J♣', '9♠')
('J♣', '9♥')
('J♣', '9♦')
('J♣', '9♣')
('J♣', '8♠')
('J♣', '8♥')
('J♣', '8♦')
('J♣', '8♣')
('J♣', '7♠')
('J♣', '7♥')
('J♣', '7♦')
('J♣', '7♣')
('J♣', '6♠')
('J♣', '6♥')
('J♣', '6♦')
('J♣', '6♣')
('J♣', '5♠')
('J♣', '5♥')
('J♣', '5♦')
('J♣', '5♣')
('J♣', '4♠')
('J♣', '4♥')
('J♣', '4♦')
('J♣', '4♣')
('J♣', '3♠')
('J♣', '3♥')
('J♣', '3♦')
('J♣', '3♣')
('J♣', '2♠')
('J♣', '2♥')
('J♣', '2♦')
('J♣', '2♣')
('⑽♠', 'A♠')
('⑽♠', 'A♥')
('⑽♠', 'A♦')
('⑽♠', 'A♣')
('⑽♠', 'K♠')
('⑽♠', 'K♥')
('⑽♠', 'K♦')
('⑽♠', 'K♣')
('⑽♠', 'Q♠')
('⑽♠', 'Q♥')
('⑽♠', 'Q♦')
('⑽♠', 'Q♣')
('⑽♠', 'J♠')
('⑽♠', 'J♥')
('⑽♠', 'J♦')
('⑽♠', 'J♣')
('⑽♠', '⑽♥')
('⑽♠', '⑽♦')
('⑽♠', '⑽♣')
('⑽♠', '9♠')
('⑽♠', '9♥')
('⑽♠', '9♦')
('⑽♠', '9♣')
('⑽♠', '8♠')
('⑽♠', '8♥')
('⑽♠', '8♦')
('⑽♠', '8♣')
('⑽♠', '7♠')
('⑽♠', '7♥')
('⑽♠', '7♦')
('⑽♠', '7♣')
('⑽♠', '6♠')
('⑽♠', '6♥')
('⑽♠', '6♦')
('⑽♠', '6♣')
('⑽♠', '5♠')
('⑽♠', '5♥')
('⑽♠', '5♦')
('⑽♠', '5♣')
('⑽♠', '4♠')
('⑽♠', '4♥')
('⑽♠', '4♦')
('⑽♠', '4♣')
('⑽♠', '3♠')
('⑽♠', '3♥')
('⑽♠', '3♦')
('⑽♠', '3♣')
('⑽♠', '2♠')
('⑽♠', '2♥')
('⑽♠', '2♦')
('⑽♠', '2♣')
('⑽♥', 'A♠')
('⑽♥', 'A♥')
('⑽♥', 'A♦')
('⑽♥', 'A♣')
('⑽♥', 'K♠')
('⑽♥', 'K♥')
('⑽♥', 'K♦')
('⑽♥', 'K♣')
('⑽♥', 'Q♠')
('⑽♥', 'Q♥')
('⑽♥', 'Q♦')
('⑽♥', 'Q♣')
('⑽♥', 'J♠')
('⑽♥', 'J♥')
('⑽♥', 'J♦')
('⑽♥', 'J♣')
('⑽♥', '⑽♠')
('⑽♥', '⑽♦')
('⑽♥', '⑽♣')
('⑽♥', '9♠')
('⑽♥', '9♥')
('⑽♥', '9♦')
('⑽♥', '9♣')
('⑽♥', '8♠')
('⑽♥', '8♥')
('⑽♥', '8♦')
('⑽♥', '8♣')
('⑽♥', '7♠')
('⑽♥', '7♥')
('⑽♥', '7♦')
('⑽♥', '7♣')
('⑽♥', '6♠')
('⑽♥', '6♥')
('⑽♥', '6♦')
('⑽♥', '6♣')
('⑽♥', '5♠')
('⑽♥', '5♥')
('⑽♥', '5♦')
('⑽♥', '5♣')
('⑽♥', '4♠')
('⑽♥', '4♥')
('⑽♥', '4♦')
('⑽♥', '4♣')
('⑽♥', '3♠')
('⑽♥', '3♥')
('⑽♥', '3♦')
('⑽♥', '3♣')
('⑽♥', '2♠')
('⑽♥', '2♥')
('⑽♥', '2♦')
('⑽♥', '2♣')
('⑽♦', 'A♠')
('⑽♦', 'A♥')
('⑽♦', 'A♦')
('⑽♦', 'A♣')
('⑽♦', 'K♠')
('⑽♦', 'K♥')
('⑽♦', 'K♦')
('⑽♦', 'K♣')
('⑽♦', 'Q♠')
('⑽♦', 'Q♥')
('⑽♦', 'Q♦')
('⑽♦', 'Q♣')
('⑽♦', 'J♠')
('⑽♦', 'J♥')
('⑽♦', 'J♦')
('⑽♦', 'J♣')
('⑽♦', '⑽♠')
('⑽♦', '⑽♥')
('⑽♦', '⑽♣')
('⑽♦', '9♠')
('⑽♦', '9♥')
('⑽♦', '9♦')
('⑽♦', '9♣')
('⑽♦', '8♠')
('⑽♦', '8♥')
('⑽♦', '8♦')
('⑽♦', '8♣')
('⑽♦', '7♠')
('⑽♦', '7♥')
('⑽♦', '7♦')
('⑽♦', '7♣')
('⑽♦', '6♠')
('⑽♦', '6♥')
('⑽♦', '6♦')
('⑽♦', '6♣')
('⑽♦', '5♠')
('⑽♦', '5♥')
('⑽♦', '5♦')
('⑽♦', '5♣')
('⑽♦', '4♠')
('⑽♦', '4♥')
('⑽♦', '4♦')
('⑽♦', '4♣')
('⑽♦', '3♠')
('⑽♦', '3♥')
('⑽♦', '3♦')
('⑽♦', '3♣')
('⑽♦', '2♠')
('⑽♦', '2♥')
('⑽♦', '2♦')
('⑽♦', '2♣')
('⑽♣', 'A♠')
('⑽♣', 'A♥')
('⑽♣', 'A♦')
('⑽♣', 'A♣')
('⑽♣', 'K♠')
('⑽♣', 'K♥')
('⑽♣', 'K♦')
('⑽♣', 'K♣')
('⑽♣', 'Q♠')
('⑽♣', 'Q♥')
('⑽♣', 'Q♦')
('⑽♣', 'Q♣')
('⑽♣', 'J♠')
('⑽♣', 'J♥')
('⑽♣', 'J♦')
('⑽♣', 'J♣')
('⑽♣', '⑽♠')
('⑽♣', '⑽♥')
('⑽♣', '⑽♦')
('⑽♣', '9♠')
('⑽♣', '9♥')
('⑽♣', '9♦')
('⑽♣', '9♣')
('⑽♣', '8♠')
('⑽♣', '8♥')
('⑽♣', '8♦')
('⑽♣', '8♣')
('⑽♣', '7♠')
('⑽♣', '7♥')
('⑽♣', '7♦')
('⑽♣', '7♣')
('⑽♣', '6♠')
('⑽♣', '6♥')
('⑽♣', '6♦')
('⑽♣', '6♣')
('⑽♣', '5♠')
('⑽♣', '5♥')
('⑽♣', '5♦')
('⑽♣', '5♣')
('⑽♣', '4♠')
('⑽♣', '4♥')
('⑽♣', '4♦')
('⑽♣', '4♣')
('⑽♣', '3♠')
('⑽♣', '3♥')
('⑽♣', '3♦')
('⑽♣', '3♣')
('⑽♣', '2♠')
('⑽♣', '2♥')
('⑽♣', '2♦')
('⑽♣', '2♣')
('9♠', 'A♠')
('9♠', 'A♥')
('9♠', 'A♦')
('9♠', 'A♣')
('9♠', 'K♠')
('9♠', 'K♥')
('9♠', 'K♦')
('9♠', 'K♣')
('9♠', 'Q♠')
('9♠', 'Q♥')
('9♠', 'Q♦')
('9♠', 'Q♣')
('9♠', 'J♠')
('9♠', 'J♥')
('9♠', 'J♦')
('9♠', 'J♣')
('9♠', '⑽♠')
('9♠', '⑽♥')
('9♠', '⑽♦')
('9♠', '⑽♣')
('9♠', '9♥')
('9♠', '9♦')
('9♠', '9♣')
('9♠', '8♠')
('9♠', '8♥')
('9♠', '8♦')
('9♠', '8♣')
('9♠', '7♠')
('9♠', '7♥')
('9♠', '7♦')
('9♠', '7♣')
('9♠', '6♠')
('9♠', '6♥')
('9♠', '6♦')
('9♠', '6♣')
('9♠', '5♠')
('9♠', '5♥')
('9♠', '5♦')
('9♠', '5♣')
('9♠', '4♠')
('9♠', '4♥')
('9♠', '4♦')
('9♠', '4♣')
('9♠', '3♠')
('9♠', '3♥')
('9♠', '3♦')
('9♠', '3♣')
('9♠', '2♠')
('9♠', '2♥')
('9♠', '2♦')
('9♠', '2♣')
('9♥', 'A♠')
('9♥', 'A♥')
('9♥', 'A♦')
('9♥', 'A♣')
('9♥', 'K♠')
('9♥', 'K♥')
('9♥', 'K♦')
('9♥', 'K♣')
('9♥', 'Q♠')
('9♥', 'Q♥')
('9♥', 'Q♦')
('9♥', 'Q♣')
('9♥', 'J♠')
('9♥', 'J♥')
('9♥', 'J♦')
('9♥', 'J♣')
('9♥', '⑽♠')
('9♥', '⑽♥')
('9♥', '⑽♦')
('9♥', '⑽♣')
('9♥', '9♠')
('9♥', '9♦')
('9♥', '9♣')
('9♥', '8♠')
('9♥', '8♥')
('9♥', '8♦')
('9♥', '8♣')
('9♥', '7♠')
('9♥', '7♥')
('9♥', '7♦')
('9♥', '7♣')
('9♥', '6♠')
('9♥', '6♥')
('9♥', '6♦')
('9♥', '6♣')
('9♥', '5♠')
('9♥', '5♥')
('9♥', '5♦')
('9♥', '5♣')
('9♥', '4♠')
('9♥', '4♥')
('9♥', '4♦')
('9♥', '4♣')
('9♥', '3♠')
('9♥', '3♥')
('9♥', '3♦')
('9♥', '3♣')
('9♥', '2♠')
('9♥', '2♥')
('9♥', '2♦')
('9♥', '2♣')
('9♦', 'A♠')
('9♦', 'A♥')
('9♦', 'A♦')
('9♦', 'A♣')
('9♦', 'K♠')
('9♦', 'K♥')
('9♦', 'K♦')
('9♦', 'K♣')
('9♦', 'Q♠')
('9♦', 'Q♥')
('9♦', 'Q♦')
('9♦', 'Q♣')
('9♦', 'J♠')
('9♦', 'J♥')
('9♦', 'J♦')
('9♦', 'J♣')
('9♦', '⑽♠')
('9♦', '⑽♥')
('9♦', '⑽♦')
('9♦', '⑽♣')
('9♦', '9♠')
('9♦', '9♥')
('9♦', '9♣')
('9♦', '8♠')
('9♦', '8♥')
('9♦', '8♦')
('9♦', '8♣')
('9♦', '7♠')
('9♦', '7♥')
('9♦', '7♦')
('9♦', '7♣')
('9♦', '6♠')
('9♦', '6♥')
('9♦', '6♦')
('9♦', '6♣')
('9♦', '5♠')
('9♦', '5♥')
('9♦', '5♦')
('9♦', '5♣')
('9♦', '4♠')
('9♦', '4♥')
('9♦', '4♦')
('9♦', '4♣')
('9♦', '3♠')
('9♦', '3♥')
('9♦', '3♦')
('9♦', '3♣')
('9♦', '2♠')
('9♦', '2♥')
('9♦', '2♦')
('9♦', '2♣')
('9♣', 'A♠')
('9♣', 'A♥')
('9♣', 'A♦')
('9♣', 'A♣')
('9♣', 'K♠')
('9♣', 'K♥')
('9♣', 'K♦')
('9♣', 'K♣')
('9♣', 'Q♠')
('9♣', 'Q♥')
('9♣', 'Q♦')
('9♣', 'Q♣')
('9♣', 'J♠')
('9♣', 'J♥')
('9♣', 'J♦')
('9♣', 'J♣')
('9♣', '⑽♠')
('9♣', '⑽♥')
('9♣', '⑽♦')
('9♣', '⑽♣')
('9♣', '9♠')
('9♣', '9♥')
('9♣', '9♦')
('9♣', '8♠')
('9♣', '8♥')
('9♣', '8♦')
('9♣', '8♣')
('9♣', '7♠')
('9♣', '7♥')
('9♣', '7♦')
('9♣', '7♣')
('9♣', '6♠')
('9♣', '6♥')
('9♣', '6♦')
('9♣', '6♣')
('9♣', '5♠')
('9♣', '5♥')
('9♣', '5♦')
('9♣', '5♣')
('9♣', '4♠')
('9♣', '4♥')
('9♣', '4♦')
('9♣', '4♣')
('9♣', '3♠')
('9♣', '3♥')
('9♣', '3♦')
('9♣', '3♣')
('9♣', '2♠')
('9♣', '2♥')
('9♣', '2♦')
('9♣', '2♣')
('8♠', 'A♠')
('8♠', 'A♥')
('8♠', 'A♦')
('8♠', 'A♣')
('8♠', 'K♠')
('8♠', 'K♥')
('8♠', 'K♦')
('8♠', 'K♣')
('8♠', 'Q♠')
('8♠', 'Q♥')
('8♠', 'Q♦')
('8♠', 'Q♣')
('8♠', 'J♠')
('8♠', 'J♥')
('8♠', 'J♦')
('8♠', 'J♣')
('8♠', '⑽♠')
('8♠', '⑽♥')
('8♠', '⑽♦')
('8♠', '⑽♣')
('8♠', '9♠')
('8♠', '9♥')
('8♠', '9♦')
('8♠', '9♣')
('8♠', '8♥')
('8♠', '8♦')
('8♠', '8♣')
('8♠', '7♠')
('8♠', '7♥')
('8♠', '7♦')
('8♠', '7♣')
('8♠', '6♠')
('8♠', '6♥')
('8♠', '6♦')
('8♠', '6♣')
('8♠', '5♠')
('8♠', '5♥')
('8♠', '5♦')
('8♠', '5♣')
('8♠', '4♠')
('8♠', '4♥')
('8♠', '4♦')
('8♠', '4♣')
('8♠', '3♠')
('8♠', '3♥')
('8♠', '3♦')
('8♠', '3♣')
('8♠', '2♠')
('8♠', '2♥')
('8♠', '2♦')
('8♠', '2♣')
('8♥', 'A♠')
('8♥', 'A♥')
('8♥', 'A♦')
('8♥', 'A♣')
('8♥', 'K♠')
('8♥', 'K♥')
('8♥', 'K♦')
('8♥', 'K♣')
('8♥', 'Q♠')
('8♥', 'Q♥')
('8♥', 'Q♦')
('8♥', 'Q♣')
('8♥', 'J♠')
('8♥', 'J♥')
('8♥', 'J♦')
('8♥', 'J♣')
('8♥', '⑽♠')
('8♥', '⑽♥')
('8♥', '⑽♦')
('8♥', '⑽♣')
('8♥', '9♠')
('8♥', '9♥')
('8♥', '9♦')
('8♥', '9♣')
('8♥', '8♠')
('8♥', '8♦')
('8♥', '8♣')
('8♥', '7♠')
('8♥', '7♥')
('8♥', '7♦')
('8♥', '7♣')
('8♥', '6♠')
('8♥', '6♥')
('8♥', '6♦')
('8♥', '6♣')
('8♥', '5♠')
('8♥', '5♥')
('8♥', '5♦')
('8♥', '5♣')
('8♥', '4♠')
('8♥', '4♥')
('8♥', '4♦')
('8♥', '4♣')
('8♥', '3♠')
('8♥', '3♥')
('8♥', '3♦')
('8♥', '3♣')
('8♥', '2♠')
('8♥', '2♥')
('8♥', '2♦')
('8♥', '2♣')
('8♦', 'A♠')
('8♦', 'A♥')
('8♦', 'A♦')
('8♦', 'A♣')
('8♦', 'K♠')
('8♦', 'K♥')
('8♦', 'K♦')
('8♦', 'K♣')
('8♦', 'Q♠')
('8♦', 'Q♥')
('8♦', 'Q♦')
('8♦', 'Q♣')
('8♦', 'J♠')
('8♦', 'J♥')
('8♦', 'J♦')
('8♦', 'J♣')
('8♦', '⑽♠')
('8♦', '⑽♥')
('8♦', '⑽♦')
('8♦', '⑽♣')
('8♦', '9♠')
('8♦', '9♥')
('8♦', '9♦')
('8♦', '9♣')
('8♦', '8♠')
('8♦', '8♥')
('8♦', '8♣')
('8♦', '7♠')
('8♦', '7♥')
('8♦', '7♦')
('8♦', '7♣')
('8♦', '6♠')
('8♦', '6♥')
('8♦', '6♦')
('8♦', '6♣')
('8♦', '5♠')
('8♦', '5♥')
('8♦', '5♦')
('8♦', '5♣')
('8♦', '4♠')
('8♦', '4♥')
('8♦', '4♦')
('8♦', '4♣')
('8♦', '3♠')
('8♦', '3♥')
('8♦', '3♦')
('8♦', '3♣')
('8♦', '2♠')
('8♦', '2♥')
('8♦', '2♦')
('8♦', '2♣')
('8♣', 'A♠')
('8♣', 'A♥')
('8♣', 'A♦')
('8♣', 'A♣')
('8♣', 'K♠')
('8♣', 'K♥')
('8♣', 'K♦')
('8♣', 'K♣')
('8♣', 'Q♠')
('8♣', 'Q♥')
('8♣', 'Q♦')
('8♣', 'Q♣')
('8♣', 'J♠')
('8♣', 'J♥')
('8♣', 'J♦')
('8♣', 'J♣')
('8♣', '⑽♠')
('8♣', '⑽♥')
('8♣', '⑽♦')
('8♣', '⑽♣')
('8♣', '9♠')
('8♣', '9♥')
('8♣', '9♦')
('8♣', '9♣')
('8♣', '8♠')
('8♣', '8♥')
('8♣', '8♦')
('8♣', '7♠')
('8♣', '7♥')
('8♣', '7♦')
('8♣', '7♣')
('8♣', '6♠')
('8♣', '6♥')
('8♣', '6♦')
('8♣', '6♣')
('8♣', '5♠')
('8♣', '5♥')
('8♣', '5♦')
('8♣', '5♣')
('8♣', '4♠')
('8♣', '4♥')
('8♣', '4♦')
('8♣', '4♣')
('8♣', '3♠')
('8♣', '3♥')
('8♣', '3♦')
('8♣', '3♣')
('8♣', '2♠')
('8♣', '2♥')
('8♣', '2♦')
('8♣', '2♣')
('7♠', 'A♠')
('7♠', 'A♥')
('7♠', 'A♦')
('7♠', 'A♣')
('7♠', 'K♠')
('7♠', 'K♥')
('7♠', 'K♦')
('7♠', 'K♣')
('7♠', 'Q♠')
('7♠', 'Q♥')
('7♠', 'Q♦')
('7♠', 'Q♣')
('7♠', 'J♠')
('7♠', 'J♥')
('7♠', 'J♦')
('7♠', 'J♣')
('7♠', '⑽♠')
('7♠', '⑽♥')
('7♠', '⑽♦')
('7♠', '⑽♣')
('7♠', '9♠')
('7♠', '9♥')
('7♠', '9♦')
('7♠', '9♣')
('7♠', '8♠')
('7♠', '8♥')
('7♠', '8♦')
('7♠', '8♣')
('7♠', '7♥')
('7♠', '7♦')
('7♠', '7♣')
('7♠', '6♠')
('7♠', '6♥')
('7♠', '6♦')
('7♠', '6♣')
('7♠', '5♠')
('7♠', '5♥')
('7♠', '5♦')
('7♠', '5♣')
('7♠', '4♠')
('7♠', '4♥')
('7♠', '4♦')
('7♠', '4♣')
('7♠', '3♠')
('7♠', '3♥')
('7♠', '3♦')
('7♠', '3♣')
('7♠', '2♠')
('7♠', '2♥')
('7♠', '2♦')
('7♠', '2♣')
('7♥', 'A♠')
('7♥', 'A♥')
('7♥', 'A♦')
('7♥', 'A♣')
('7♥', 'K♠')
('7♥', 'K♥')
('7♥', 'K♦')
('7♥', 'K♣')
('7♥', 'Q♠')
('7♥', 'Q♥')
('7♥', 'Q♦')
('7♥', 'Q♣')
('7♥', 'J♠')
('7♥', 'J♥')
('7♥', 'J♦')
('7♥', 'J♣')
('7♥', '⑽♠')
('7♥', '⑽♥')
('7♥', '⑽♦')
('7♥', '⑽♣')
('7♥', '9♠')
('7♥', '9♥')
('7♥', '9♦')
('7♥', '9♣')
('7♥', '8♠')
('7♥', '8♥')
('7♥', '8♦')
('7♥', '8♣')
('7♥', '7♠')
('7♥', '7♦')
('7♥', '7♣')
('7♥', '6♠')
('7♥', '6♥')
('7♥', '6♦')
('7♥', '6♣')
('7♥', '5♠')
('7♥', '5♥')
('7♥', '5♦')
('7♥', '5♣')
('7♥', '4♠')
('7♥', '4♥')
('7♥', '4♦')
('7♥', '4♣')
('7♥', '3♠')
('7♥', '3♥')
('7♥', '3♦')
('7♥', '3♣')
('7♥', '2♠')
('7♥', '2♥')
('7♥', '2♦')
('7♥', '2♣')
('7♦', 'A♠')
('7♦', 'A♥')
('7♦', 'A♦')
('7♦', 'A♣')
('7♦', 'K♠')
('7♦', 'K♥')
('7♦', 'K♦')
('7♦', 'K♣')
('7♦', 'Q♠')
('7♦', 'Q♥')
('7♦', 'Q♦')
('7♦', 'Q♣')
('7♦', 'J♠')
('7♦', 'J♥')
('7♦', 'J♦')
('7♦', 'J♣')
('7♦', '⑽♠')
('7♦', '⑽♥')
('7♦', '⑽♦')
('7♦', '⑽♣')
('7♦', '9♠')
('7♦', '9♥')
('7♦', '9♦')
('7♦', '9♣')
('7♦', '8♠')
('7♦', '8♥')
('7♦', '8♦')
('7♦', '8♣')
('7♦', '7♠')
('7♦', '7♥')
('7♦', '7♣')
('7♦', '6♠')
('7♦', '6♥')
('7♦', '6♦')
('7♦', '6♣')
('7♦', '5♠')
('7♦', '5♥')
('7♦', '5♦')
('7♦', '5♣')
('7♦', '4♠')
('7♦', '4♥')
('7♦', '4♦')
('7♦', '4♣')
('7♦', '3♠')
('7♦', '3♥')
('7♦', '3♦')
('7♦', '3♣')
('7♦', '2♠')
('7♦', '2♥')
('7♦', '2♦')
('7♦', '2♣')
('7♣', 'A♠')
('7♣', 'A♥')
('7♣', 'A♦')
('7♣', 'A♣')
('7♣', 'K♠')
('7♣', 'K♥')
('7♣', 'K♦')
('7♣', 'K♣')
('7♣', 'Q♠')
('7♣', 'Q♥')
('7♣', 'Q♦')
('7♣', 'Q♣')
('7♣', 'J♠')
('7♣', 'J♥')
('7♣', 'J♦')
('7♣', 'J♣')
('7♣', '⑽♠')
('7♣', '⑽♥')
('7♣', '⑽♦')
('7♣', '⑽♣')
('7♣', '9♠')
('7♣', '9♥')
('7♣', '9♦')
('7♣', '9♣')
('7♣', '8♠')
('7♣', '8♥')
('7♣', '8♦')
('7♣', '8♣')
('7♣', '7♠')
('7♣', '7♥')
('7♣', '7♦')
('7♣', '6♠')
('7♣', '6♥')
('7♣', '6♦')
('7♣', '6♣')
('7♣', '5♠')
('7♣', '5♥')
('7♣', '5♦')
('7♣', '5♣')
('7♣', '4♠')
('7♣', '4♥')
('7♣', '4♦')
('7♣', '4♣')
('7♣', '3♠')
('7♣', '3♥')
('7♣', '3♦')
('7♣', '3♣')
('7♣', '2♠')
('7♣', '2♥')
('7♣', '2♦')
('7♣', '2♣')
('6♠', 'A♠')
('6♠', 'A♥')
('6♠', 'A♦')
('6♠', 'A♣')
('6♠', 'K♠')
('6♠', 'K♥')
('6♠', 'K♦')
('6♠', 'K♣')
('6♠', 'Q♠')
('6♠', 'Q♥')
('6♠', 'Q♦')
('6♠', 'Q♣')
('6♠', 'J♠')
('6♠', 'J♥')
('6♠', 'J♦')
('6♠', 'J♣')
('6♠', '⑽♠')
('6♠', '⑽♥')
('6♠', '⑽♦')
('6♠', '⑽♣')
('6♠', '9♠')
('6♠', '9♥')
('6♠', '9♦')
('6♠', '9♣')
('6♠', '8♠')
('6♠', '8♥')
('6♠', '8♦')
('6♠', '8♣')
('6♠', '7♠')
('6♠', '7♥')
('6♠', '7♦')
('6♠', '7♣')
('6♠', '6♥')
('6♠', '6♦')
('6♠', '6♣')
('6♠', '5♠')
('6♠', '5♥')
('6♠', '5♦')
('6♠', '5♣')
('6♠', '4♠')
('6♠', '4♥')
('6♠', '4♦')
('6♠', '4♣')
('6♠', '3♠')
('6♠', '3♥')
('6♠', '3♦')
('6♠', '3♣')
('6♠', '2♠')
('6♠', '2♥')
('6♠', '2♦')
('6♠', '2♣')
('6♥', 'A♠')
('6♥', 'A♥')
('6♥', 'A♦')
('6♥', 'A♣')
('6♥', 'K♠')
('6♥', 'K♥')
('6♥', 'K♦')
('6♥', 'K♣')
('6♥', 'Q♠')
('6♥', 'Q♥')
('6♥', 'Q♦')
('6♥', 'Q♣')
('6♥', 'J♠')
('6♥', 'J♥')
('6♥', 'J♦')
('6♥', 'J♣')
('6♥', '⑽♠')
('6♥', '⑽♥')
('6♥', '⑽♦')
('6♥', '⑽♣')
('6♥', '9♠')
('6♥', '9♥')
('6♥', '9♦')
('6♥', '9♣')
('6♥', '8♠')
('6♥', '8♥')
('6♥', '8♦')
('6♥', '8♣')
('6♥', '7♠')
('6♥', '7♥')
('6♥', '7♦')
('6♥', '7♣')
('6♥', '6♠')
('6♥', '6♦')
('6♥', '6♣')
('6♥', '5♠')
('6♥', '5♥')
('6♥', '5♦')
('6♥', '5♣')
('6♥', '4♠')
('6♥', '4♥')
('6♥', '4♦')
('6♥', '4♣')
('6♥', '3♠')
('6♥', '3♥')
('6♥', '3♦')
('6♥', '3♣')
('6♥', '2♠')
('6♥', '2♥')
('6♥', '2♦')
('6♥', '2♣')
('6♦', 'A♠')
('6♦', 'A♥')
('6♦', 'A♦')
('6♦', 'A♣')
('6♦', 'K♠')
('6♦', 'K♥')
('6♦', 'K♦')
('6♦', 'K♣')
('6♦', 'Q♠')
('6♦', 'Q♥')
('6♦', 'Q♦')
('6♦', 'Q♣')
('6♦', 'J♠')
('6♦', 'J♥')
('6♦', 'J♦')
('6♦', 'J♣')
('6♦', '⑽♠')
('6♦', '⑽♥')
('6♦', '⑽♦')
('6♦', '⑽♣')
('6♦', '9♠')
('6♦', '9♥')
('6♦', '9♦')
('6♦', '9♣')
('6♦', '8♠')
('6♦', '8♥')
('6♦', '8♦')
('6♦', '8♣')
('6♦', '7♠')
('6♦', '7♥')
('6♦', '7♦')
('6♦', '7♣')
('6♦', '6♠')
('6♦', '6♥')
('6♦', '6♣')
('6♦', '5♠')
('6♦', '5♥')
('6♦', '5♦')
('6♦', '5♣')
('6♦', '4♠')
('6♦', '4♥')
('6♦', '4♦')
('6♦', '4♣')
('6♦', '3♠')
('6♦', '3♥')
('6♦', '3♦')
('6♦', '3♣')
('6♦', '2♠')
('6♦', '2♥')
('6♦', '2♦')
('6♦', '2♣')
('6♣', 'A♠')
('6♣', 'A♥')
('6♣', 'A♦')
('6♣', 'A♣')
('6♣', 'K♠')
('6♣', 'K♥')
('6♣', 'K♦')
('6♣', 'K♣')
('6♣', 'Q♠')
('6♣', 'Q♥')
('6♣', 'Q♦')
('6♣', 'Q♣')
('6♣', 'J♠')
('6♣', 'J♥')
('6♣', 'J♦')
('6♣', 'J♣')
('6♣', '⑽♠')
('6♣', '⑽♥')
('6♣', '⑽♦')
('6♣', '⑽♣')
('6♣', '9♠')
('6♣', '9♥')
('6♣', '9♦')
('6♣', '9♣')
('6♣', '8♠')
('6♣', '8♥')
('6♣', '8♦')
('6♣', '8♣')
('6♣', '7♠')
('6♣', '7♥')
('6♣', '7♦')
('6♣', '7♣')
('6♣', '6♠')
('6♣', '6♥')
('6♣', '6♦')
('6♣', '5♠')
('6♣', '5♥')
('6♣', '5♦')
('6♣', '5♣')
('6♣', '4♠')
('6♣', '4♥')
('6♣', '4♦')
('6♣', '4♣')
('6♣', '3♠')
('6♣', '3♥')
('6♣', '3♦')
('6♣', '3♣')
('6♣', '2♠')
('6♣', '2♥')
('6♣', '2♦')
('6♣', '2♣')
('5♠', 'A♠')
('5♠', 'A♥')
('5♠', 'A♦')
('5♠', 'A♣')
('5♠', 'K♠')
('5♠', 'K♥')
('5♠', 'K♦')
('5♠', 'K♣')
('5♠', 'Q♠')
('5♠', 'Q♥')
('5♠', 'Q♦')
('5♠', 'Q♣')
('5♠', 'J♠')
('5♠', 'J♥')
('5♠', 'J♦')
('5♠', 'J♣')
('5♠', '⑽♠')
('5♠', '⑽♥')
('5♠', '⑽♦')
('5♠', '⑽♣')
('5♠', '9♠')
('5♠', '9♥')
('5♠', '9♦')
('5♠', '9♣')
('5♠', '8♠')
('5♠', '8♥')
('5♠', '8♦')
('5♠', '8♣')
('5♠', '7♠')
('5♠', '7♥')
('5♠', '7♦')
('5♠', '7♣')
('5♠', '6♠')
('5♠', '6♥')
('5♠', '6♦')
('5♠', '6♣')
('5♠', '5♥')
('5♠', '5♦')
('5♠', '5♣')
('5♠', '4♠')
('5♠', '4♥')
('5♠', '4♦')
('5♠', '4♣')
('5♠', '3♠')
('5♠', '3♥')
('5♠', '3♦')
('5♠', '3♣')
('5♠', '2♠')
('5♠', '2♥')
('5♠', '2♦')
('5♠', '2♣')
('5♥', 'A♠')
('5♥', 'A♥')
('5♥', 'A♦')
('5♥', 'A♣')
('5♥', 'K♠')
('5♥', 'K♥')
('5♥', 'K♦')
('5♥', 'K♣')
('5♥', 'Q♠')
('5♥', 'Q♥')
('5♥', 'Q♦')
('5♥', 'Q♣')
('5♥', 'J♠')
('5♥', 'J♥')
('5♥', 'J♦')
('5♥', 'J♣')
('5♥', '⑽♠')
('5♥', '⑽♥')
('5♥', '⑽♦')
('5♥', '⑽♣')
('5♥', '9♠')
('5♥', '9♥')
('5♥', '9♦')
('5♥', '9♣')
('5♥', '8♠')
('5♥', '8♥')
('5♥', '8♦')
('5♥', '8♣')
('5♥', '7♠')
('5♥', '7♥')
('5♥', '7♦')
('5♥', '7♣')
('5♥', '6♠')
('5♥', '6♥')
('5♥', '6♦')
('5♥', '6♣')
('5♥', '5♠')
('5♥', '5♦')
('5♥', '5♣')
('5♥', '4♠')
('5♥', '4♥')
('5♥', '4♦')
('5♥', '4♣')
('5♥', '3♠')
('5♥', '3♥')
('5♥', '3♦')
('5♥', '3♣')
('5♥', '2♠')
('5♥', '2♥')
('5♥', '2♦')
('5♥', '2♣')
('5♦', 'A♠')
('5♦', 'A♥')
('5♦', 'A♦')
('5♦', 'A♣')
('5♦', 'K♠')
('5♦', 'K♥')
('5♦', 'K♦')
('5♦', 'K♣')
('5♦', 'Q♠')
('5♦', 'Q♥')
('5♦', 'Q♦')
('5♦', 'Q♣')
('5♦', 'J♠')
('5♦', 'J♥')
('5♦', 'J♦')
('5♦', 'J♣')
('5♦', '⑽♠')
('5♦', '⑽♥')
('5♦', '⑽♦')
('5♦', '⑽♣')
('5♦', '9♠')
('5♦', '9♥')
('5♦', '9♦')
('5♦', '9♣')
('5♦', '8♠')
('5♦', '8♥')
('5♦', '8♦')
('5♦', '8♣')
('5♦', '7♠')
('5♦', '7♥')
('5♦', '7♦')
('5♦', '7♣')
('5♦', '6♠')
('5♦', '6♥')
('5♦', '6♦')
('5♦', '6♣')
('5♦', '5♠')
('5♦', '5♥')
('5♦', '5♣')
('5♦', '4♠')
('5♦', '4♥')
('5♦', '4♦')
('5♦', '4♣')
('5♦', '3♠')
('5♦', '3♥')
('5♦', '3♦')
('5♦', '3♣')
('5♦', '2♠')
('5♦', '2♥')
('5♦', '2♦')
('5♦', '2♣')
('5♣', 'A♠')
('5♣', 'A♥')
('5♣', 'A♦')
('5♣', 'A♣')
('5♣', 'K♠')
('5♣', 'K♥')
('5♣', 'K♦')
('5♣', 'K♣')
('5♣', 'Q♠')
('5♣', 'Q♥')
('5♣', 'Q♦')
('5♣', 'Q♣')
('5♣', 'J♠')
('5♣', 'J♥')
('5♣', 'J♦')
('5♣', 'J♣')
('5♣', '⑽♠')
('5♣', '⑽♥')
('5♣', '⑽♦')
('5♣', '⑽♣')
('5♣', '9♠')
('5♣', '9♥')
('5♣', '9♦')
('5♣', '9♣')
('5♣', '8♠')
('5♣', '8♥')
('5♣', '8♦')
('5♣', '8♣')
('5♣', '7♠')
('5♣', '7♥')
('5♣', '7♦')
('5♣', '7♣')
('5♣', '6♠')
('5♣', '6♥')
('5♣', '6♦')
('5♣', '6♣')
('5♣', '5♠')
('5♣', '5♥')
('5♣', '5♦')
('5♣', '4♠')
('5♣', '4♥')
('5♣', '4♦')
('5♣', '4♣')
('5♣', '3♠')
('5♣', '3♥')
('5♣', '3♦')
('5♣', '3♣')
('5♣', '2♠')
('5♣', '2♥')
('5♣', '2♦')
('5♣', '2♣')
('4♠', 'A♠')
('4♠', 'A♥')
('4♠', 'A♦')
('4♠', 'A♣')
('4♠', 'K♠')
('4♠', 'K♥')
('4♠', 'K♦')
('4♠', 'K♣')
('4♠', 'Q♠')
('4♠', 'Q♥')
('4♠', 'Q♦')
('4♠', 'Q♣')
('4♠', 'J♠')
('4♠', 'J♥')
('4♠', 'J♦')
('4♠', 'J♣')
('4♠', '⑽♠')
('4♠', '⑽♥')
('4♠', '⑽♦')
('4♠', '⑽♣')
('4♠', '9♠')
('4♠', '9♥')
('4♠', '9♦')
('4♠', '9♣')
('4♠', '8♠')
('4♠', '8♥')
('4♠', '8♦')
('4♠', '8♣')
('4♠', '7♠')
('4♠', '7♥')
('4♠', '7♦')
('4♠', '7♣')
('4♠', '6♠')
('4♠', '6♥')
('4♠', '6♦')
('4♠', '6♣')
('4♠', '5♠')
('4♠', '5♥')
('4♠', '5♦')
('4♠', '5♣')
('4♠', '4♥')
('4♠', '4♦')
('4♠', '4♣')
('4♠', '3♠')
('4♠', '3♥')
('4♠', '3♦')
('4♠', '3♣')
('4♠', '2♠')
('4♠', '2♥')
('4♠', '2♦')
('4♠', '2♣')
('4♥', 'A♠')
('4♥', 'A♥')
('4♥', 'A♦')
('4♥', 'A♣')
('4♥', 'K♠')
('4♥', 'K♥')
('4♥', 'K♦')
('4♥', 'K♣')
('4♥', 'Q♠')
('4♥', 'Q♥')
('4♥', 'Q♦')
('4♥', 'Q♣')
('4♥', 'J♠')
('4♥', 'J♥')
('4♥', 'J♦')
('4♥', 'J♣')
('4♥', '⑽♠')
('4♥', '⑽♥')
('4♥', '⑽♦')
('4♥', '⑽♣')
('4♥', '9♠')
('4♥', '9♥')
('4♥', '9♦')
('4♥', '9♣')
('4♥', '8♠')
('4♥', '8♥')
('4♥', '8♦')
('4♥', '8♣')
('4♥', '7♠')
('4♥', '7♥')
('4♥', '7♦')
('4♥', '7♣')
('4♥', '6♠')
('4♥', '6♥')
('4♥', '6♦')
('4♥', '6♣')
('4♥', '5♠')
('4♥', '5♥')
('4♥', '5♦')
('4♥', '5♣')
('4♥', '4♠')
('4♥', '4♦')
('4♥', '4♣')
('4♥', '3♠')
('4♥', '3♥')
('4♥', '3♦')
('4♥', '3♣')
('4♥', '2♠')
('4♥', '2♥')
('4♥', '2♦')
('4♥', '2♣')
('4♦', 'A♠')
('4♦', 'A♥')
('4♦', 'A♦')
('4♦', 'A♣')
('4♦', 'K♠')
('4♦', 'K♥')
('4♦', 'K♦')
('4♦', 'K♣')
('4♦', 'Q♠')
('4♦', 'Q♥')
('4♦', 'Q♦')
('4♦', 'Q♣')
('4♦', 'J♠')
('4♦', 'J♥')
('4♦', 'J♦')
('4♦', 'J♣')
('4♦', '⑽♠')
('4♦', '⑽♥')
('4♦', '⑽♦')
('4♦', '⑽♣')
('4♦', '9♠')
('4♦', '9♥')
('4♦', '9♦')
('4♦', '9♣')
('4♦', '8♠')
('4♦', '8♥')
('4♦', '8♦')
('4♦', '8♣')
('4♦', '7♠')
('4♦', '7♥')
('4♦', '7♦')
('4♦', '7♣')
('4♦', '6♠')
('4♦', '6♥')
('4♦', '6♦')
('4♦', '6♣')
('4♦', '5♠')
('4♦', '5♥')
('4♦', '5♦')
('4♦', '5♣')
('4♦', '4♠')
('4♦', '4♥')
('4♦', '4♣')
('4♦', '3♠')
('4♦', '3♥')
('4♦', '3♦')
('4♦', '3♣')
('4♦', '2♠')
('4♦', '2♥')
('4♦', '2♦')
('4♦', '2♣')
('4♣', 'A♠')
('4♣', 'A♥')
('4♣', 'A♦')
('4♣', 'A♣')
('4♣', 'K♠')
('4♣', 'K♥')
('4♣', 'K♦')
('4♣', 'K♣')
('4♣', 'Q♠')
('4♣', 'Q♥')
('4♣', 'Q♦')
('4♣', 'Q♣')
('4♣', 'J♠')
('4♣', 'J♥')
('4♣', 'J♦')
('4♣', 'J♣')
('4♣', '⑽♠')
('4♣', '⑽♥')
('4♣', '⑽♦')
('4♣', '⑽♣')
('4♣', '9♠')
('4♣', '9♥')
('4♣', '9♦')
('4♣', '9♣')
('4♣', '8♠')
('4♣', '8♥')
('4♣', '8♦')
('4♣', '8♣')
('4♣', '7♠')
('4♣', '7♥')
('4♣', '7♦')
('4♣', '7♣')
('4♣', '6♠')
('4♣', '6♥')
('4♣', '6♦')
('4♣', '6♣')
('4♣', '5♠')
('4♣', '5♥')
('4♣', '5♦')
('4♣', '5♣')
('4♣', '4♠')
('4♣', '4♥')
('4♣', '4♦')
('4♣', '3♠')
('4♣', '3♥')
('4♣', '3♦')
('4♣', '3♣')
('4♣', '2♠')
('4♣', '2♥')
('4♣', '2♦')
('4♣', '2♣')
('3♠', 'A♠')
('3♠', 'A♥')
('3♠', 'A♦')
('3♠', 'A♣')
('3♠', 'K♠')
('3♠', 'K♥')
('3♠', 'K♦')
('3♠', 'K♣')
('3♠', 'Q♠')
('3♠', 'Q♥')
('3♠', 'Q♦')
('3♠', 'Q♣')
('3♠', 'J♠')
('3♠', 'J♥')
('3♠', 'J♦')
('3♠', 'J♣')
('3♠', '⑽♠')
('3♠', '⑽♥')
('3♠', '⑽♦')
('3♠', '⑽♣')
('3♠', '9♠')
('3♠', '9♥')
('3♠', '9♦')
('3♠', '9♣')
('3♠', '8♠')
('3♠', '8♥')
('3♠', '8♦')
('3♠', '8♣')
('3♠', '7♠')
('3♠', '7♥')
('3♠', '7♦')
('3♠', '7♣')
('3♠', '6♠')
('3♠', '6♥')
('3♠', '6♦')
('3♠', '6♣')
('3♠', '5♠')
('3♠', '5♥')
('3♠', '5♦')
('3♠', '5♣')
('3♠', '4♠')
('3♠', '4♥')
('3♠', '4♦')
('3♠', '4♣')
('3♠', '3♥')
('3♠', '3♦')
('3♠', '3♣')
('3♠', '2♠')
('3♠', '2♥')
('3♠', '2♦')
('3♠', '2♣')
('3♥', 'A♠')
('3♥', 'A♥')
('3♥', 'A♦')
('3♥', 'A♣')
('3♥', 'K♠')
('3♥', 'K♥')
('3♥', 'K♦')
('3♥', 'K♣')
('3♥', 'Q♠')
('3♥', 'Q♥')
('3♥', 'Q♦')
('3♥', 'Q♣')
('3♥', 'J♠')
('3♥', 'J♥')
('3♥', 'J♦')
('3♥', 'J♣')
('3♥', '⑽♠')
('3♥', '⑽♥')
('3♥', '⑽♦')
('3♥', '⑽♣')
('3♥', '9♠')
('3♥', '9♥')
('3♥', '9♦')
('3♥', '9♣')
('3♥', '8♠')
('3♥', '8♥')
('3♥', '8♦')
('3♥', '8♣')
('3♥', '7♠')
('3♥', '7♥')
('3♥', '7♦')
('3♥', '7♣')
('3♥', '6♠')
('3♥', '6♥')
('3♥', '6♦')
('3♥', '6♣')
('3♥', '5♠')
('3♥', '5♥')
('3♥', '5♦')
('3♥', '5♣')
('3♥', '4♠')
('3♥', '4♥')
('3♥', '4♦')
('3♥', '4♣')
('3♥', '3♠')
('3♥', '3♦')
('3♥', '3♣')
('3♥', '2♠')
('3♥', '2♥')
('3♥', '2♦')
('3♥', '2♣')
('3♦', 'A♠')
('3♦', 'A♥')
('3♦', 'A♦')
('3♦', 'A♣')
('3♦', 'K♠')
('3♦', 'K♥')
('3♦', 'K♦')
('3♦', 'K♣')
('3♦', 'Q♠')
('3♦', 'Q♥')
('3♦', 'Q♦')
('3♦', 'Q♣')
('3♦', 'J♠')
('3♦', 'J♥')
('3♦', 'J♦')
('3♦', 'J♣')
('3♦', '⑽♠')
('3♦', '⑽♥')
('3♦', '⑽♦')
('3♦', '⑽♣')
('3♦', '9♠')
('3♦', '9♥')
('3♦', '9♦')
('3♦', '9♣')
('3♦', '8♠')
('3♦', '8♥')
('3♦', '8♦')
('3♦', '8♣')
('3♦', '7♠')
('3♦', '7♥')
('3♦', '7♦')
('3♦', '7♣')
('3♦', '6♠')
('3♦', '6♥')
('3♦', '6♦')
('3♦', '6♣')
('3♦', '5♠')
('3♦', '5♥')
('3♦', '5♦')
('3♦', '5♣')
('3♦', '4♠')
('3♦', '4♥')
('3♦', '4♦')
('3♦', '4♣')
('3♦', '3♠')
('3♦', '3♥')
('3♦', '3♣')
('3♦', '2♠')
('3♦', '2♥')
('3♦', '2♦')
('3♦', '2♣')
('3♣', 'A♠')
('3♣', 'A♥')
('3♣', 'A♦')
('3♣', 'A♣')
('3♣', 'K♠')
('3♣', 'K♥')
('3♣', 'K♦')
('3♣', 'K♣')
('3♣', 'Q♠')
('3♣', 'Q♥')
('3♣', 'Q♦')
('3♣', 'Q♣')
('3♣', 'J♠')
('3♣', 'J♥')
('3♣', 'J♦')
('3♣', 'J♣')
('3♣', '⑽♠')
('3♣', '⑽♥')
('3♣', '⑽♦')
('3♣', '⑽♣')
('3♣', '9♠')
('3♣', '9♥')
('3♣', '9♦')
('3♣', '9♣')
('3♣', '8♠')
('3♣', '8♥')
('3♣', '8♦')
('3♣', '8♣')
('3♣', '7♠')
('3♣', '7♥')
('3♣', '7♦')
('3♣', '7♣')
('3♣', '6♠')
('3♣', '6♥')
('3♣', '6♦')
('3♣', '6♣')
('3♣', '5♠')
('3♣', '5♥')
('3♣', '5♦')
('3♣', '5♣')
('3♣', '4♠')
('3♣', '4♥')
('3♣', '4♦')
('3♣', '4♣')
('3♣', '3♠')
('3♣', '3♥')
('3♣', '3♦')
('3♣', '2♠')
('3♣', '2♥')
('3♣', '2♦')
('3♣', '2♣')
('2♠', 'A♠')
('2♠', 'A♥')
('2♠', 'A♦')
('2♠', 'A♣')
('2♠', 'K♠')
('2♠', 'K♥')
('2♠', 'K♦')
('2♠', 'K♣')
('2♠', 'Q♠')
('2♠', 'Q♥')
('2♠', 'Q♦')
('2♠', 'Q♣')
('2♠', 'J♠')
('2♠', 'J♥')
('2♠', 'J♦')
('2♠', 'J♣')
('2♠', '⑽♠')
('2♠', '⑽♥')
('2♠', '⑽♦')
('2♠', '⑽♣')
('2♠', '9♠')
('2♠', '9♥')
('2♠', '9♦')
('2♠', '9♣')
('2♠', '8♠')
('2♠', '8♥')
('2♠', '8♦')
('2♠', '8♣')
('2♠', '7♠')
('2♠', '7♥')
('2♠', '7♦')
('2♠', '7♣')
('2♠', '6♠')
('2♠', '6♥')
('2♠', '6♦')
('2♠', '6♣')
('2♠', '5♠')
('2♠', '5♥')
('2♠', '5♦')
('2♠', '5♣')
('2♠', '4♠')
('2♠', '4♥')
('2♠', '4♦')
('2♠', '4♣')
('2♠', '3♠')
('2♠', '3♥')
('2♠', '3♦')
('2♠', '3♣')
('2♠', '2♥')
('2♠', '2♦')
('2♠', '2♣')
('2♥', 'A♠')
('2♥', 'A♥')
('2♥', 'A♦')
('2♥', 'A♣')
('2♥', 'K♠')
('2♥', 'K♥')
('2♥', 'K♦')
('2♥', 'K♣')
('2♥', 'Q♠')
('2♥', 'Q♥')
('2♥', 'Q♦')
('2♥', 'Q♣')
('2♥', 'J♠')
('2♥', 'J♥')
('2♥', 'J♦')
('2♥', 'J♣')
('2♥', '⑽♠')
('2♥', '⑽♥')
('2♥', '⑽♦')
('2♥', '⑽♣')
('2♥', '9♠')
('2♥', '9♥')
('2♥', '9♦')
('2♥', '9♣')
('2♥', '8♠')
('2♥', '8♥')
('2♥', '8♦')
('2♥', '8♣')
('2♥', '7♠')
('2♥', '7♥')
('2♥', '7♦')
('2♥', '7♣')
('2♥', '6♠')
('2♥', '6♥')
('2♥', '6♦')
('2♥', '6♣')
('2♥', '5♠')
('2♥', '5♥')
('2♥', '5♦')
('2♥', '5♣')
('2♥', '4♠')
('2♥', '4♥')
('2♥', '4♦')
('2♥', '4♣')
('2♥', '3♠')
('2♥', '3♥')
('2♥', '3♦')
('2♥', '3♣')
('2♥', '2♠')
('2♥', '2♦')
('2♥', '2♣')
('2♦', 'A♠')
('2♦', 'A♥')
('2♦', 'A♦')
('2♦', 'A♣')
('2♦', 'K♠')
('2♦', 'K♥')
('2♦', 'K♦')
('2♦', 'K♣')
('2♦', 'Q♠')
('2♦', 'Q♥')
('2♦', 'Q♦')
('2♦', 'Q♣')
('2♦', 'J♠')
('2♦', 'J♥')
('2♦', 'J♦')
('2♦', 'J♣')
('2♦', '⑽♠')
('2♦', '⑽♥')
('2♦', '⑽♦')
('2♦', '⑽♣')
('2♦', '9♠')
('2♦', '9♥')
('2♦', '9♦')
('2♦', '9♣')
('2♦', '8♠')
('2♦', '8♥')
('2♦', '8♦')
('2♦', '8♣')
('2♦', '7♠')
('2♦', '7♥')
('2♦', '7♦')
('2♦', '7♣')
('2♦', '6♠')
('2♦', '6♥')
('2♦', '6♦')
('2♦', '6♣')
('2♦', '5♠')
('2♦', '5♥')
('2♦', '5♦')
('2♦', '5♣')
('2♦', '4♠')
('2♦', '4♥')
('2♦', '4♦')
('2♦', '4♣')
('2♦', '3♠')
('2♦', '3♥')
('2♦', '3♦')
('2♦', '3♣')
('2♦', '2♠')
('2♦', '2♥')
('2♦', '2♣')
('2♣', 'A♠')
('2♣', 'A♥')
('2♣', 'A♦')
('2♣', 'A♣')
('2♣', 'K♠')
('2♣', 'K♥')
('2♣', 'K♦')
('2♣', 'K♣')
('2♣', 'Q♠')
('2♣', 'Q♥')
('2♣', 'Q♦')
('2♣', 'Q♣')
('2♣', 'J♠')
('2♣', 'J♥')
('2♣', 'J♦')
('2♣', 'J♣')
('2♣', '⑽♠')
('2♣', '⑽♥')
('2♣', '⑽♦')
('2♣', '⑽♣')
('2♣', '9♠')
('2♣', '9♥')
('2♣', '9♦')
('2♣', '9♣')
('2♣', '8♠')
('2♣', '8♥')
('2♣', '8♦')
('2♣', '8♣')
('2♣', '7♠')
('2♣', '7♥')
('2♣', '7♦')
('2♣', '7♣')
('2♣', '6♠')
('2♣', '6♥')
('2♣', '6♦')
('2♣', '6♣')
('2♣', '5♠')
('2♣', '5♥')
('2♣', '5♦')
('2♣', '5♣')
('2♣', '4♠')
('2♣', '4♥')
('2♣', '4♦')
('2♣', '4♣')
('2♣', '3♠')
('2♣', '3♥')
('2♣', '3♦')
('2♣', '3♣')
('2♣', '2♠')
('2♣', '2♥')
('2♣', '2♦')
Exercise: Write a generator function called permutations that takes an iterator and and integer, r, as arguments. It should generate tuples that represent all subsets of the elements in the iterator with size r and no duplicates.
Test your function by generating and printing all hands with two distinct cards.
Then use ilen to count how many there are, and confirm that it’s 52 * 51.
The itertools library provides a function called permutations that does the same thing.
import itertools
it = card_generator(ranks, suits)
ilen(itertools.permutations(it, 2))
2652
Combinations#
At this point we are generating legitimate hands in the sense that the same card never appears twice.
But we end up generating the same hand more than once, in the sense that the order of the cards does not matter.
So we consider (card1, card2) to be the same hand as (card2, card1).
To avoid that, we can generate all permutations and then filter out the ones that are not in sorted order.
It doesn’t really matter which order is considered “sorted”; it’s just a way to choose one ordering we consider “canonical”.
That’s what the following loop does.
it = card_generator(ranks, suits)
for hand in permutations(it, r=2):
if list(hand) == sorted(hand):
print(hand)
('A♠', 'A♥')
('A♠', 'A♦')
('A♠', 'A♣')
('A♠', 'K♠')
('A♠', 'K♥')
('A♠', 'K♦')
('A♠', 'K♣')
('A♠', 'Q♠')
('A♠', 'Q♥')
('A♠', 'Q♦')
('A♠', 'Q♣')
('A♠', 'J♠')
('A♠', 'J♥')
('A♠', 'J♦')
('A♠', 'J♣')
('A♠', '⑽♠')
('A♠', '⑽♥')
('A♠', '⑽♦')
('A♠', '⑽♣')
('A♥', 'A♦')
('A♥', 'K♠')
('A♥', 'K♥')
('A♥', 'K♦')
('A♥', 'K♣')
('A♥', 'Q♠')
('A♥', 'Q♥')
('A♥', 'Q♦')
('A♥', 'Q♣')
('A♥', 'J♠')
('A♥', 'J♥')
('A♥', 'J♦')
('A♥', 'J♣')
('A♥', '⑽♠')
('A♥', '⑽♥')
('A♥', '⑽♦')
('A♥', '⑽♣')
('A♦', 'K♠')
('A♦', 'K♥')
('A♦', 'K♦')
('A♦', 'K♣')
('A♦', 'Q♠')
('A♦', 'Q♥')
('A♦', 'Q♦')
('A♦', 'Q♣')
('A♦', 'J♠')
('A♦', 'J♥')
('A♦', 'J♦')
('A♦', 'J♣')
('A♦', '⑽♠')
('A♦', '⑽♥')
('A♦', '⑽♦')
('A♦', '⑽♣')
('A♣', 'A♥')
('A♣', 'A♦')
('A♣', 'K♠')
('A♣', 'K♥')
('A♣', 'K♦')
('A♣', 'K♣')
('A♣', 'Q♠')
('A♣', 'Q♥')
('A♣', 'Q♦')
('A♣', 'Q♣')
('A♣', 'J♠')
('A♣', 'J♥')
('A♣', 'J♦')
('A♣', 'J♣')
('A♣', '⑽♠')
('A♣', '⑽♥')
('A♣', '⑽♦')
('A♣', '⑽♣')
('K♠', 'K♥')
('K♠', 'K♦')
('K♠', 'K♣')
('K♠', 'Q♠')
('K♠', 'Q♥')
('K♠', 'Q♦')
('K♠', 'Q♣')
('K♠', '⑽♠')
('K♠', '⑽♥')
('K♠', '⑽♦')
('K♠', '⑽♣')
('K♥', 'K♦')
('K♥', 'Q♠')
('K♥', 'Q♥')
('K♥', 'Q♦')
('K♥', 'Q♣')
('K♥', '⑽♠')
('K♥', '⑽♥')
('K♥', '⑽♦')
('K♥', '⑽♣')
('K♦', 'Q♠')
('K♦', 'Q♥')
('K♦', 'Q♦')
('K♦', 'Q♣')
('K♦', '⑽♠')
('K♦', '⑽♥')
('K♦', '⑽♦')
('K♦', '⑽♣')
('K♣', 'K♥')
('K♣', 'K♦')
('K♣', 'Q♠')
('K♣', 'Q♥')
('K♣', 'Q♦')
('K♣', 'Q♣')
('K♣', '⑽♠')
('K♣', '⑽♥')
('K♣', '⑽♦')
('K♣', '⑽♣')
('Q♠', 'Q♥')
('Q♠', 'Q♦')
('Q♠', 'Q♣')
('Q♠', '⑽♠')
('Q♠', '⑽♥')
('Q♠', '⑽♦')
('Q♠', '⑽♣')
('Q♥', 'Q♦')
('Q♥', '⑽♠')
('Q♥', '⑽♥')
('Q♥', '⑽♦')
('Q♥', '⑽♣')
('Q♦', '⑽♠')
('Q♦', '⑽♥')
('Q♦', '⑽♦')
('Q♦', '⑽♣')
('Q♣', 'Q♥')
('Q♣', 'Q♦')
('Q♣', '⑽♠')
('Q♣', '⑽♥')
('Q♣', '⑽♦')
('Q♣', '⑽♣')
('J♠', 'K♠')
('J♠', 'K♥')
('J♠', 'K♦')
('J♠', 'K♣')
('J♠', 'Q♠')
('J♠', 'Q♥')
('J♠', 'Q♦')
('J♠', 'Q♣')
('J♠', 'J♥')
('J♠', 'J♦')
('J♠', 'J♣')
('J♠', '⑽♠')
('J♠', '⑽♥')
('J♠', '⑽♦')
('J♠', '⑽♣')
('J♥', 'K♠')
('J♥', 'K♥')
('J♥', 'K♦')
('J♥', 'K♣')
('J♥', 'Q♠')
('J♥', 'Q♥')
('J♥', 'Q♦')
('J♥', 'Q♣')
('J♥', 'J♦')
('J♥', '⑽♠')
('J♥', '⑽♥')
('J♥', '⑽♦')
('J♥', '⑽♣')
('J♦', 'K♠')
('J♦', 'K♥')
('J♦', 'K♦')
('J♦', 'K♣')
('J♦', 'Q♠')
('J♦', 'Q♥')
('J♦', 'Q♦')
('J♦', 'Q♣')
('J♦', '⑽♠')
('J♦', '⑽♥')
('J♦', '⑽♦')
('J♦', '⑽♣')
('J♣', 'K♠')
('J♣', 'K♥')
('J♣', 'K♦')
('J♣', 'K♣')
('J♣', 'Q♠')
('J♣', 'Q♥')
('J♣', 'Q♦')
('J♣', 'Q♣')
('J♣', 'J♥')
('J♣', 'J♦')
('J♣', '⑽♠')
('J♣', '⑽♥')
('J♣', '⑽♦')
('J♣', '⑽♣')
('⑽♠', '⑽♥')
('⑽♠', '⑽♦')
('⑽♠', '⑽♣')
('⑽♥', '⑽♦')
('⑽♣', '⑽♥')
('⑽♣', '⑽♦')
('9♠', 'A♠')
('9♠', 'A♥')
('9♠', 'A♦')
('9♠', 'A♣')
('9♠', 'K♠')
('9♠', 'K♥')
('9♠', 'K♦')
('9♠', 'K♣')
('9♠', 'Q♠')
('9♠', 'Q♥')
('9♠', 'Q♦')
('9♠', 'Q♣')
('9♠', 'J♠')
('9♠', 'J♥')
('9♠', 'J♦')
('9♠', 'J♣')
('9♠', '⑽♠')
('9♠', '⑽♥')
('9♠', '⑽♦')
('9♠', '⑽♣')
('9♠', '9♥')
('9♠', '9♦')
('9♠', '9♣')
('9♥', 'A♠')
('9♥', 'A♥')
('9♥', 'A♦')
('9♥', 'A♣')
('9♥', 'K♠')
('9♥', 'K♥')
('9♥', 'K♦')
('9♥', 'K♣')
('9♥', 'Q♠')
('9♥', 'Q♥')
('9♥', 'Q♦')
('9♥', 'Q♣')
('9♥', 'J♠')
('9♥', 'J♥')
('9♥', 'J♦')
('9♥', 'J♣')
('9♥', '⑽♠')
('9♥', '⑽♥')
('9♥', '⑽♦')
('9♥', '⑽♣')
('9♥', '9♦')
('9♦', 'A♠')
('9♦', 'A♥')
('9♦', 'A♦')
('9♦', 'A♣')
('9♦', 'K♠')
('9♦', 'K♥')
('9♦', 'K♦')
('9♦', 'K♣')
('9♦', 'Q♠')
('9♦', 'Q♥')
('9♦', 'Q♦')
('9♦', 'Q♣')
('9♦', 'J♠')
('9♦', 'J♥')
('9♦', 'J♦')
('9♦', 'J♣')
('9♦', '⑽♠')
('9♦', '⑽♥')
('9♦', '⑽♦')
('9♦', '⑽♣')
('9♣', 'A♠')
('9♣', 'A♥')
('9♣', 'A♦')
('9♣', 'A♣')
('9♣', 'K♠')
('9♣', 'K♥')
('9♣', 'K♦')
('9♣', 'K♣')
('9♣', 'Q♠')
('9♣', 'Q♥')
('9♣', 'Q♦')
('9♣', 'Q♣')
('9♣', 'J♠')
('9♣', 'J♥')
('9♣', 'J♦')
('9♣', 'J♣')
('9♣', '⑽♠')
('9♣', '⑽♥')
('9♣', '⑽♦')
('9♣', '⑽♣')
('9♣', '9♥')
('9♣', '9♦')
('8♠', 'A♠')
('8♠', 'A♥')
('8♠', 'A♦')
('8♠', 'A♣')
('8♠', 'K♠')
('8♠', 'K♥')
('8♠', 'K♦')
('8♠', 'K♣')
('8♠', 'Q♠')
('8♠', 'Q♥')
('8♠', 'Q♦')
('8♠', 'Q♣')
('8♠', 'J♠')
('8♠', 'J♥')
('8♠', 'J♦')
('8♠', 'J♣')
('8♠', '⑽♠')
('8♠', '⑽♥')
('8♠', '⑽♦')
('8♠', '⑽♣')
('8♠', '9♠')
('8♠', '9♥')
('8♠', '9♦')
('8♠', '9♣')
('8♠', '8♥')
('8♠', '8♦')
('8♠', '8♣')
('8♥', 'A♠')
('8♥', 'A♥')
('8♥', 'A♦')
('8♥', 'A♣')
('8♥', 'K♠')
('8♥', 'K♥')
('8♥', 'K♦')
('8♥', 'K♣')
('8♥', 'Q♠')
('8♥', 'Q♥')
('8♥', 'Q♦')
('8♥', 'Q♣')
('8♥', 'J♠')
('8♥', 'J♥')
('8♥', 'J♦')
('8♥', 'J♣')
('8♥', '⑽♠')
('8♥', '⑽♥')
('8♥', '⑽♦')
('8♥', '⑽♣')
('8♥', '9♠')
('8♥', '9♥')
('8♥', '9♦')
('8♥', '9♣')
('8♥', '8♦')
('8♦', 'A♠')
('8♦', 'A♥')
('8♦', 'A♦')
('8♦', 'A♣')
('8♦', 'K♠')
('8♦', 'K♥')
('8♦', 'K♦')
('8♦', 'K♣')
('8♦', 'Q♠')
('8♦', 'Q♥')
('8♦', 'Q♦')
('8♦', 'Q♣')
('8♦', 'J♠')
('8♦', 'J♥')
('8♦', 'J♦')
('8♦', 'J♣')
('8♦', '⑽♠')
('8♦', '⑽♥')
('8♦', '⑽♦')
('8♦', '⑽♣')
('8♦', '9♠')
('8♦', '9♥')
('8♦', '9♦')
('8♦', '9♣')
('8♣', 'A♠')
('8♣', 'A♥')
('8♣', 'A♦')
('8♣', 'A♣')
('8♣', 'K♠')
('8♣', 'K♥')
('8♣', 'K♦')
('8♣', 'K♣')
('8♣', 'Q♠')
('8♣', 'Q♥')
('8♣', 'Q♦')
('8♣', 'Q♣')
('8♣', 'J♠')
('8♣', 'J♥')
('8♣', 'J♦')
('8♣', 'J♣')
('8♣', '⑽♠')
('8♣', '⑽♥')
('8♣', '⑽♦')
('8♣', '⑽♣')
('8♣', '9♠')
('8♣', '9♥')
('8♣', '9♦')
('8♣', '9♣')
('8♣', '8♥')
('8♣', '8♦')
('7♠', 'A♠')
('7♠', 'A♥')
('7♠', 'A♦')
('7♠', 'A♣')
('7♠', 'K♠')
('7♠', 'K♥')
('7♠', 'K♦')
('7♠', 'K♣')
('7♠', 'Q♠')
('7♠', 'Q♥')
('7♠', 'Q♦')
('7♠', 'Q♣')
('7♠', 'J♠')
('7♠', 'J♥')
('7♠', 'J♦')
('7♠', 'J♣')
('7♠', '⑽♠')
('7♠', '⑽♥')
('7♠', '⑽♦')
('7♠', '⑽♣')
('7♠', '9♠')
('7♠', '9♥')
('7♠', '9♦')
('7♠', '9♣')
('7♠', '8♠')
('7♠', '8♥')
('7♠', '8♦')
('7♠', '8♣')
('7♠', '7♥')
('7♠', '7♦')
('7♠', '7♣')
('7♥', 'A♠')
('7♥', 'A♥')
('7♥', 'A♦')
('7♥', 'A♣')
('7♥', 'K♠')
('7♥', 'K♥')
('7♥', 'K♦')
('7♥', 'K♣')
('7♥', 'Q♠')
('7♥', 'Q♥')
('7♥', 'Q♦')
('7♥', 'Q♣')
('7♥', 'J♠')
('7♥', 'J♥')
('7♥', 'J♦')
('7♥', 'J♣')
('7♥', '⑽♠')
('7♥', '⑽♥')
('7♥', '⑽♦')
('7♥', '⑽♣')
('7♥', '9♠')
('7♥', '9♥')
('7♥', '9♦')
('7♥', '9♣')
('7♥', '8♠')
('7♥', '8♥')
('7♥', '8♦')
('7♥', '8♣')
('7♥', '7♦')
('7♦', 'A♠')
('7♦', 'A♥')
('7♦', 'A♦')
('7♦', 'A♣')
('7♦', 'K♠')
('7♦', 'K♥')
('7♦', 'K♦')
('7♦', 'K♣')
('7♦', 'Q♠')
('7♦', 'Q♥')
('7♦', 'Q♦')
('7♦', 'Q♣')
('7♦', 'J♠')
('7♦', 'J♥')
('7♦', 'J♦')
('7♦', 'J♣')
('7♦', '⑽♠')
('7♦', '⑽♥')
('7♦', '⑽♦')
('7♦', '⑽♣')
('7♦', '9♠')
('7♦', '9♥')
('7♦', '9♦')
('7♦', '9♣')
('7♦', '8♠')
('7♦', '8♥')
('7♦', '8♦')
('7♦', '8♣')
('7♣', 'A♠')
('7♣', 'A♥')
('7♣', 'A♦')
('7♣', 'A♣')
('7♣', 'K♠')
('7♣', 'K♥')
('7♣', 'K♦')
('7♣', 'K♣')
('7♣', 'Q♠')
('7♣', 'Q♥')
('7♣', 'Q♦')
('7♣', 'Q♣')
('7♣', 'J♠')
('7♣', 'J♥')
('7♣', 'J♦')
('7♣', 'J♣')
('7♣', '⑽♠')
('7♣', '⑽♥')
('7♣', '⑽♦')
('7♣', '⑽♣')
('7♣', '9♠')
('7♣', '9♥')
('7♣', '9♦')
('7♣', '9♣')
('7♣', '8♠')
('7♣', '8♥')
('7♣', '8♦')
('7♣', '8♣')
('7♣', '7♥')
('7♣', '7♦')
('6♠', 'A♠')
('6♠', 'A♥')
('6♠', 'A♦')
('6♠', 'A♣')
('6♠', 'K♠')
('6♠', 'K♥')
('6♠', 'K♦')
('6♠', 'K♣')
('6♠', 'Q♠')
('6♠', 'Q♥')
('6♠', 'Q♦')
('6♠', 'Q♣')
('6♠', 'J♠')
('6♠', 'J♥')
('6♠', 'J♦')
('6♠', 'J♣')
('6♠', '⑽♠')
('6♠', '⑽♥')
('6♠', '⑽♦')
('6♠', '⑽♣')
('6♠', '9♠')
('6♠', '9♥')
('6♠', '9♦')
('6♠', '9♣')
('6♠', '8♠')
('6♠', '8♥')
('6♠', '8♦')
('6♠', '8♣')
('6♠', '7♠')
('6♠', '7♥')
('6♠', '7♦')
('6♠', '7♣')
('6♠', '6♥')
('6♠', '6♦')
('6♠', '6♣')
('6♥', 'A♠')
('6♥', 'A♥')
('6♥', 'A♦')
('6♥', 'A♣')
('6♥', 'K♠')
('6♥', 'K♥')
('6♥', 'K♦')
('6♥', 'K♣')
('6♥', 'Q♠')
('6♥', 'Q♥')
('6♥', 'Q♦')
('6♥', 'Q♣')
('6♥', 'J♠')
('6♥', 'J♥')
('6♥', 'J♦')
('6♥', 'J♣')
('6♥', '⑽♠')
('6♥', '⑽♥')
('6♥', '⑽♦')
('6♥', '⑽♣')
('6♥', '9♠')
('6♥', '9♥')
('6♥', '9♦')
('6♥', '9♣')
('6♥', '8♠')
('6♥', '8♥')
('6♥', '8♦')
('6♥', '8♣')
('6♥', '7♠')
('6♥', '7♥')
('6♥', '7♦')
('6♥', '7♣')
('6♥', '6♦')
('6♦', 'A♠')
('6♦', 'A♥')
('6♦', 'A♦')
('6♦', 'A♣')
('6♦', 'K♠')
('6♦', 'K♥')
('6♦', 'K♦')
('6♦', 'K♣')
('6♦', 'Q♠')
('6♦', 'Q♥')
('6♦', 'Q♦')
('6♦', 'Q♣')
('6♦', 'J♠')
('6♦', 'J♥')
('6♦', 'J♦')
('6♦', 'J♣')
('6♦', '⑽♠')
('6♦', '⑽♥')
('6♦', '⑽♦')
('6♦', '⑽♣')
('6♦', '9♠')
('6♦', '9♥')
('6♦', '9♦')
('6♦', '9♣')
('6♦', '8♠')
('6♦', '8♥')
('6♦', '8♦')
('6♦', '8♣')
('6♦', '7♠')
('6♦', '7♥')
('6♦', '7♦')
('6♦', '7♣')
('6♣', 'A♠')
('6♣', 'A♥')
('6♣', 'A♦')
('6♣', 'A♣')
('6♣', 'K♠')
('6♣', 'K♥')
('6♣', 'K♦')
('6♣', 'K♣')
('6♣', 'Q♠')
('6♣', 'Q♥')
('6♣', 'Q♦')
('6♣', 'Q♣')
('6♣', 'J♠')
('6♣', 'J♥')
('6♣', 'J♦')
('6♣', 'J♣')
('6♣', '⑽♠')
('6♣', '⑽♥')
('6♣', '⑽♦')
('6♣', '⑽♣')
('6♣', '9♠')
('6♣', '9♥')
('6♣', '9♦')
('6♣', '9♣')
('6♣', '8♠')
('6♣', '8♥')
('6♣', '8♦')
('6♣', '8♣')
('6♣', '7♠')
('6♣', '7♥')
('6♣', '7♦')
('6♣', '7♣')
('6♣', '6♥')
('6♣', '6♦')
('5♠', 'A♠')
('5♠', 'A♥')
('5♠', 'A♦')
('5♠', 'A♣')
('5♠', 'K♠')
('5♠', 'K♥')
('5♠', 'K♦')
('5♠', 'K♣')
('5♠', 'Q♠')
('5♠', 'Q♥')
('5♠', 'Q♦')
('5♠', 'Q♣')
('5♠', 'J♠')
('5♠', 'J♥')
('5♠', 'J♦')
('5♠', 'J♣')
('5♠', '⑽♠')
('5♠', '⑽♥')
('5♠', '⑽♦')
('5♠', '⑽♣')
('5♠', '9♠')
('5♠', '9♥')
('5♠', '9♦')
('5♠', '9♣')
('5♠', '8♠')
('5♠', '8♥')
('5♠', '8♦')
('5♠', '8♣')
('5♠', '7♠')
('5♠', '7♥')
('5♠', '7♦')
('5♠', '7♣')
('5♠', '6♠')
('5♠', '6♥')
('5♠', '6♦')
('5♠', '6♣')
('5♠', '5♥')
('5♠', '5♦')
('5♠', '5♣')
('5♥', 'A♠')
('5♥', 'A♥')
('5♥', 'A♦')
('5♥', 'A♣')
('5♥', 'K♠')
('5♥', 'K♥')
('5♥', 'K♦')
('5♥', 'K♣')
('5♥', 'Q♠')
('5♥', 'Q♥')
('5♥', 'Q♦')
('5♥', 'Q♣')
('5♥', 'J♠')
('5♥', 'J♥')
('5♥', 'J♦')
('5♥', 'J♣')
('5♥', '⑽♠')
('5♥', '⑽♥')
('5♥', '⑽♦')
('5♥', '⑽♣')
('5♥', '9♠')
('5♥', '9♥')
('5♥', '9♦')
('5♥', '9♣')
('5♥', '8♠')
('5♥', '8♥')
('5♥', '8♦')
('5♥', '8♣')
('5♥', '7♠')
('5♥', '7♥')
('5♥', '7♦')
('5♥', '7♣')
('5♥', '6♠')
('5♥', '6♥')
('5♥', '6♦')
('5♥', '6♣')
('5♥', '5♦')
('5♦', 'A♠')
('5♦', 'A♥')
('5♦', 'A♦')
('5♦', 'A♣')
('5♦', 'K♠')
('5♦', 'K♥')
('5♦', 'K♦')
('5♦', 'K♣')
('5♦', 'Q♠')
('5♦', 'Q♥')
('5♦', 'Q♦')
('5♦', 'Q♣')
('5♦', 'J♠')
('5♦', 'J♥')
('5♦', 'J♦')
('5♦', 'J♣')
('5♦', '⑽♠')
('5♦', '⑽♥')
('5♦', '⑽♦')
('5♦', '⑽♣')
('5♦', '9♠')
('5♦', '9♥')
('5♦', '9♦')
('5♦', '9♣')
('5♦', '8♠')
('5♦', '8♥')
('5♦', '8♦')
('5♦', '8♣')
('5♦', '7♠')
('5♦', '7♥')
('5♦', '7♦')
('5♦', '7♣')
('5♦', '6♠')
('5♦', '6♥')
('5♦', '6♦')
('5♦', '6♣')
('5♣', 'A♠')
('5♣', 'A♥')
('5♣', 'A♦')
('5♣', 'A♣')
('5♣', 'K♠')
('5♣', 'K♥')
('5♣', 'K♦')
('5♣', 'K♣')
('5♣', 'Q♠')
('5♣', 'Q♥')
('5♣', 'Q♦')
('5♣', 'Q♣')
('5♣', 'J♠')
('5♣', 'J♥')
('5♣', 'J♦')
('5♣', 'J♣')
('5♣', '⑽♠')
('5♣', '⑽♥')
('5♣', '⑽♦')
('5♣', '⑽♣')
('5♣', '9♠')
('5♣', '9♥')
('5♣', '9♦')
('5♣', '9♣')
('5♣', '8♠')
('5♣', '8♥')
('5♣', '8♦')
('5♣', '8♣')
('5♣', '7♠')
('5♣', '7♥')
('5♣', '7♦')
('5♣', '7♣')
('5♣', '6♠')
('5♣', '6♥')
('5♣', '6♦')
('5♣', '6♣')
('5♣', '5♥')
('5♣', '5♦')
('4♠', 'A♠')
('4♠', 'A♥')
('4♠', 'A♦')
('4♠', 'A♣')
('4♠', 'K♠')
('4♠', 'K♥')
('4♠', 'K♦')
('4♠', 'K♣')
('4♠', 'Q♠')
('4♠', 'Q♥')
('4♠', 'Q♦')
('4♠', 'Q♣')
('4♠', 'J♠')
('4♠', 'J♥')
('4♠', 'J♦')
('4♠', 'J♣')
('4♠', '⑽♠')
('4♠', '⑽♥')
('4♠', '⑽♦')
('4♠', '⑽♣')
('4♠', '9♠')
('4♠', '9♥')
('4♠', '9♦')
('4♠', '9♣')
('4♠', '8♠')
('4♠', '8♥')
('4♠', '8♦')
('4♠', '8♣')
('4♠', '7♠')
('4♠', '7♥')
('4♠', '7♦')
('4♠', '7♣')
('4♠', '6♠')
('4♠', '6♥')
('4♠', '6♦')
('4♠', '6♣')
('4♠', '5♠')
('4♠', '5♥')
('4♠', '5♦')
('4♠', '5♣')
('4♠', '4♥')
('4♠', '4♦')
('4♠', '4♣')
('4♥', 'A♠')
('4♥', 'A♥')
('4♥', 'A♦')
('4♥', 'A♣')
('4♥', 'K♠')
('4♥', 'K♥')
('4♥', 'K♦')
('4♥', 'K♣')
('4♥', 'Q♠')
('4♥', 'Q♥')
('4♥', 'Q♦')
('4♥', 'Q♣')
('4♥', 'J♠')
('4♥', 'J♥')
('4♥', 'J♦')
('4♥', 'J♣')
('4♥', '⑽♠')
('4♥', '⑽♥')
('4♥', '⑽♦')
('4♥', '⑽♣')
('4♥', '9♠')
('4♥', '9♥')
('4♥', '9♦')
('4♥', '9♣')
('4♥', '8♠')
('4♥', '8♥')
('4♥', '8♦')
('4♥', '8♣')
('4♥', '7♠')
('4♥', '7♥')
('4♥', '7♦')
('4♥', '7♣')
('4♥', '6♠')
('4♥', '6♥')
('4♥', '6♦')
('4♥', '6♣')
('4♥', '5♠')
('4♥', '5♥')
('4♥', '5♦')
('4♥', '5♣')
('4♥', '4♦')
('4♦', 'A♠')
('4♦', 'A♥')
('4♦', 'A♦')
('4♦', 'A♣')
('4♦', 'K♠')
('4♦', 'K♥')
('4♦', 'K♦')
('4♦', 'K♣')
('4♦', 'Q♠')
('4♦', 'Q♥')
('4♦', 'Q♦')
('4♦', 'Q♣')
('4♦', 'J♠')
('4♦', 'J♥')
('4♦', 'J♦')
('4♦', 'J♣')
('4♦', '⑽♠')
('4♦', '⑽♥')
('4♦', '⑽♦')
('4♦', '⑽♣')
('4♦', '9♠')
('4♦', '9♥')
('4♦', '9♦')
('4♦', '9♣')
('4♦', '8♠')
('4♦', '8♥')
('4♦', '8♦')
('4♦', '8♣')
('4♦', '7♠')
('4♦', '7♥')
('4♦', '7♦')
('4♦', '7♣')
('4♦', '6♠')
('4♦', '6♥')
('4♦', '6♦')
('4♦', '6♣')
('4♦', '5♠')
('4♦', '5♥')
('4♦', '5♦')
('4♦', '5♣')
('4♣', 'A♠')
('4♣', 'A♥')
('4♣', 'A♦')
('4♣', 'A♣')
('4♣', 'K♠')
('4♣', 'K♥')
('4♣', 'K♦')
('4♣', 'K♣')
('4♣', 'Q♠')
('4♣', 'Q♥')
('4♣', 'Q♦')
('4♣', 'Q♣')
('4♣', 'J♠')
('4♣', 'J♥')
('4♣', 'J♦')
('4♣', 'J♣')
('4♣', '⑽♠')
('4♣', '⑽♥')
('4♣', '⑽♦')
('4♣', '⑽♣')
('4♣', '9♠')
('4♣', '9♥')
('4♣', '9♦')
('4♣', '9♣')
('4♣', '8♠')
('4♣', '8♥')
('4♣', '8♦')
('4♣', '8♣')
('4♣', '7♠')
('4♣', '7♥')
('4♣', '7♦')
('4♣', '7♣')
('4♣', '6♠')
('4♣', '6♥')
('4♣', '6♦')
('4♣', '6♣')
('4♣', '5♠')
('4♣', '5♥')
('4♣', '5♦')
('4♣', '5♣')
('4♣', '4♥')
('4♣', '4♦')
('3♠', 'A♠')
('3♠', 'A♥')
('3♠', 'A♦')
('3♠', 'A♣')
('3♠', 'K♠')
('3♠', 'K♥')
('3♠', 'K♦')
('3♠', 'K♣')
('3♠', 'Q♠')
('3♠', 'Q♥')
('3♠', 'Q♦')
('3♠', 'Q♣')
('3♠', 'J♠')
('3♠', 'J♥')
('3♠', 'J♦')
('3♠', 'J♣')
('3♠', '⑽♠')
('3♠', '⑽♥')
('3♠', '⑽♦')
('3♠', '⑽♣')
('3♠', '9♠')
('3♠', '9♥')
('3♠', '9♦')
('3♠', '9♣')
('3♠', '8♠')
('3♠', '8♥')
('3♠', '8♦')
('3♠', '8♣')
('3♠', '7♠')
('3♠', '7♥')
('3♠', '7♦')
('3♠', '7♣')
('3♠', '6♠')
('3♠', '6♥')
('3♠', '6♦')
('3♠', '6♣')
('3♠', '5♠')
('3♠', '5♥')
('3♠', '5♦')
('3♠', '5♣')
('3♠', '4♠')
('3♠', '4♥')
('3♠', '4♦')
('3♠', '4♣')
('3♠', '3♥')
('3♠', '3♦')
('3♠', '3♣')
('3♥', 'A♠')
('3♥', 'A♥')
('3♥', 'A♦')
('3♥', 'A♣')
('3♥', 'K♠')
('3♥', 'K♥')
('3♥', 'K♦')
('3♥', 'K♣')
('3♥', 'Q♠')
('3♥', 'Q♥')
('3♥', 'Q♦')
('3♥', 'Q♣')
('3♥', 'J♠')
('3♥', 'J♥')
('3♥', 'J♦')
('3♥', 'J♣')
('3♥', '⑽♠')
('3♥', '⑽♥')
('3♥', '⑽♦')
('3♥', '⑽♣')
('3♥', '9♠')
('3♥', '9♥')
('3♥', '9♦')
('3♥', '9♣')
('3♥', '8♠')
('3♥', '8♥')
('3♥', '8♦')
('3♥', '8♣')
('3♥', '7♠')
('3♥', '7♥')
('3♥', '7♦')
('3♥', '7♣')
('3♥', '6♠')
('3♥', '6♥')
('3♥', '6♦')
('3♥', '6♣')
('3♥', '5♠')
('3♥', '5♥')
('3♥', '5♦')
('3♥', '5♣')
('3♥', '4♠')
('3♥', '4♥')
('3♥', '4♦')
('3♥', '4♣')
('3♥', '3♦')
('3♦', 'A♠')
('3♦', 'A♥')
('3♦', 'A♦')
('3♦', 'A♣')
('3♦', 'K♠')
('3♦', 'K♥')
('3♦', 'K♦')
('3♦', 'K♣')
('3♦', 'Q♠')
('3♦', 'Q♥')
('3♦', 'Q♦')
('3♦', 'Q♣')
('3♦', 'J♠')
('3♦', 'J♥')
('3♦', 'J♦')
('3♦', 'J♣')
('3♦', '⑽♠')
('3♦', '⑽♥')
('3♦', '⑽♦')
('3♦', '⑽♣')
('3♦', '9♠')
('3♦', '9♥')
('3♦', '9♦')
('3♦', '9♣')
('3♦', '8♠')
('3♦', '8♥')
('3♦', '8♦')
('3♦', '8♣')
('3♦', '7♠')
('3♦', '7♥')
('3♦', '7♦')
('3♦', '7♣')
('3♦', '6♠')
('3♦', '6♥')
('3♦', '6♦')
('3♦', '6♣')
('3♦', '5♠')
('3♦', '5♥')
('3♦', '5♦')
('3♦', '5♣')
('3♦', '4♠')
('3♦', '4♥')
('3♦', '4♦')
('3♦', '4♣')
('3♣', 'A♠')
('3♣', 'A♥')
('3♣', 'A♦')
('3♣', 'A♣')
('3♣', 'K♠')
('3♣', 'K♥')
('3♣', 'K♦')
('3♣', 'K♣')
('3♣', 'Q♠')
('3♣', 'Q♥')
('3♣', 'Q♦')
('3♣', 'Q♣')
('3♣', 'J♠')
('3♣', 'J♥')
('3♣', 'J♦')
('3♣', 'J♣')
('3♣', '⑽♠')
('3♣', '⑽♥')
('3♣', '⑽♦')
('3♣', '⑽♣')
('3♣', '9♠')
('3♣', '9♥')
('3♣', '9♦')
('3♣', '9♣')
('3♣', '8♠')
('3♣', '8♥')
('3♣', '8♦')
('3♣', '8♣')
('3♣', '7♠')
('3♣', '7♥')
('3♣', '7♦')
('3♣', '7♣')
('3♣', '6♠')
('3♣', '6♥')
('3♣', '6♦')
('3♣', '6♣')
('3♣', '5♠')
('3♣', '5♥')
('3♣', '5♦')
('3♣', '5♣')
('3♣', '4♠')
('3♣', '4♥')
('3♣', '4♦')
('3♣', '4♣')
('3♣', '3♥')
('3♣', '3♦')
('2♠', 'A♠')
('2♠', 'A♥')
('2♠', 'A♦')
('2♠', 'A♣')
('2♠', 'K♠')
('2♠', 'K♥')
('2♠', 'K♦')
('2♠', 'K♣')
('2♠', 'Q♠')
('2♠', 'Q♥')
('2♠', 'Q♦')
('2♠', 'Q♣')
('2♠', 'J♠')
('2♠', 'J♥')
('2♠', 'J♦')
('2♠', 'J♣')
('2♠', '⑽♠')
('2♠', '⑽♥')
('2♠', '⑽♦')
('2♠', '⑽♣')
('2♠', '9♠')
('2♠', '9♥')
('2♠', '9♦')
('2♠', '9♣')
('2♠', '8♠')
('2♠', '8♥')
('2♠', '8♦')
('2♠', '8♣')
('2♠', '7♠')
('2♠', '7♥')
('2♠', '7♦')
('2♠', '7♣')
('2♠', '6♠')
('2♠', '6♥')
('2♠', '6♦')
('2♠', '6♣')
('2♠', '5♠')
('2♠', '5♥')
('2♠', '5♦')
('2♠', '5♣')
('2♠', '4♠')
('2♠', '4♥')
('2♠', '4♦')
('2♠', '4♣')
('2♠', '3♠')
('2♠', '3♥')
('2♠', '3♦')
('2♠', '3♣')
('2♠', '2♥')
('2♠', '2♦')
('2♠', '2♣')
('2♥', 'A♠')
('2♥', 'A♥')
('2♥', 'A♦')
('2♥', 'A♣')
('2♥', 'K♠')
('2♥', 'K♥')
('2♥', 'K♦')
('2♥', 'K♣')
('2♥', 'Q♠')
('2♥', 'Q♥')
('2♥', 'Q♦')
('2♥', 'Q♣')
('2♥', 'J♠')
('2♥', 'J♥')
('2♥', 'J♦')
('2♥', 'J♣')
('2♥', '⑽♠')
('2♥', '⑽♥')
('2♥', '⑽♦')
('2♥', '⑽♣')
('2♥', '9♠')
('2♥', '9♥')
('2♥', '9♦')
('2♥', '9♣')
('2♥', '8♠')
('2♥', '8♥')
('2♥', '8♦')
('2♥', '8♣')
('2♥', '7♠')
('2♥', '7♥')
('2♥', '7♦')
('2♥', '7♣')
('2♥', '6♠')
('2♥', '6♥')
('2♥', '6♦')
('2♥', '6♣')
('2♥', '5♠')
('2♥', '5♥')
('2♥', '5♦')
('2♥', '5♣')
('2♥', '4♠')
('2♥', '4♥')
('2♥', '4♦')
('2♥', '4♣')
('2♥', '3♠')
('2♥', '3♥')
('2♥', '3♦')
('2♥', '3♣')
('2♥', '2♦')
('2♦', 'A♠')
('2♦', 'A♥')
('2♦', 'A♦')
('2♦', 'A♣')
('2♦', 'K♠')
('2♦', 'K♥')
('2♦', 'K♦')
('2♦', 'K♣')
('2♦', 'Q♠')
('2♦', 'Q♥')
('2♦', 'Q♦')
('2♦', 'Q♣')
('2♦', 'J♠')
('2♦', 'J♥')
('2♦', 'J♦')
('2♦', 'J♣')
('2♦', '⑽♠')
('2♦', '⑽♥')
('2♦', '⑽♦')
('2♦', '⑽♣')
('2♦', '9♠')
('2♦', '9♥')
('2♦', '9♦')
('2♦', '9♣')
('2♦', '8♠')
('2♦', '8♥')
('2♦', '8♦')
('2♦', '8♣')
('2♦', '7♠')
('2♦', '7♥')
('2♦', '7♦')
('2♦', '7♣')
('2♦', '6♠')
('2♦', '6♥')
('2♦', '6♦')
('2♦', '6♣')
('2♦', '5♠')
('2♦', '5♥')
('2♦', '5♦')
('2♦', '5♣')
('2♦', '4♠')
('2♦', '4♥')
('2♦', '4♦')
('2♦', '4♣')
('2♦', '3♠')
('2♦', '3♥')
('2♦', '3♦')
('2♦', '3♣')
('2♣', 'A♠')
('2♣', 'A♥')
('2♣', 'A♦')
('2♣', 'A♣')
('2♣', 'K♠')
('2♣', 'K♥')
('2♣', 'K♦')
('2♣', 'K♣')
('2♣', 'Q♠')
('2♣', 'Q♥')
('2♣', 'Q♦')
('2♣', 'Q♣')
('2♣', 'J♠')
('2♣', 'J♥')
('2♣', 'J♦')
('2♣', 'J♣')
('2♣', '⑽♠')
('2♣', '⑽♥')
('2♣', '⑽♦')
('2♣', '⑽♣')
('2♣', '9♠')
('2♣', '9♥')
('2♣', '9♦')
('2♣', '9♣')
('2♣', '8♠')
('2♣', '8♥')
('2♣', '8♦')
('2♣', '8♣')
('2♣', '7♠')
('2♣', '7♥')
('2♣', '7♦')
('2♣', '7♣')
('2♣', '6♠')
('2♣', '6♥')
('2♣', '6♦')
('2♣', '6♣')
('2♣', '5♠')
('2♣', '5♥')
('2♣', '5♦')
('2♣', '5♣')
('2♣', '4♠')
('2♣', '4♥')
('2♣', '4♦')
('2♣', '4♣')
('2♣', '3♠')
('2♣', '3♥')
('2♣', '3♦')
('2♣', '3♣')
('2♣', '2♥')
('2♣', '2♦')
Exercise: Write a generator function called combinations that takes an iterator and and integer, r, as arguments. It should generate tuples that represent all sorted subsets of the elements in the iterator with size r and no duplicates.
Test your function by generating and printing all hands with two distinct cards.
Then use ilen to count how many there are, and confirm that it’s 52 * 51 / 2.
The itertools library provides a function called combinations that does the same thing.
import itertools
it = card_generator(ranks, suits)
ilen(itertools.combinations(it, 2))
1326
Generating hands#
We can use combinations to write a generator that yields all valid hands with n playing cards, where “valid” means that the cards are in sorted order with no duplicates.
def hand_generator(n=2):
it = card_generator(ranks, suits)
for hand in combinations(it, n):
yield hand
ilen(hand_generator(2))
1326
If you ever find yourself looping through an iterator and yielding all of the elements, you can simplify the code using yield from.
def hand_generator(n=2):
it = card_generator(ranks, suits)
yield from combinations(it, n)
ilen(hand_generator(2))
1326
Now let’s see how many hands there are with 3, 4, and (maybe) 5 cards.
ilen(hand_generator(3))
22100
ilen(hand_generator(4))
270725
I’m not patient enough to let this one finish.
# ilen(hand_generator(5))
But if we only care about the number of combinations, we can use math.comb.
from math import comb
comb(52, 5)
2598960
How many flushes?#
In poker, a “flush” is a hand where all cards have the same suit. To check whether a hand is a flush, it is convenient to extract the suit part of the cards and make a set.
it = hand_generator(4)
hand = next(it)
hand
('A♠', 'A♥', 'A♦', 'K♠')
set(card[1] for card in hand)
{'♠', '♥', '♦'}
Exercise: Write a function called is_flush that takes a hand as an argument and returns True if all cards are the same suit.
Then write a generator function called flush_generator that takes an integer n and return all hands with n cards that are flushes.
What fraction of hands with 3, 4, and 5 cards are flushes?
Write your own product#
So far we’ve been using itertools.product, but in the same way we wrote permutations and combinations, we can write our own product.
If there are only two iterators, we can do it with nested for loops.
def product2(it1, it2):
for x in it1:
for y in it2:
yield x, y
So we can generate the cards like this.
for t in product2(ranks, suits):
card = ''.join(t)
print(card, end=' ')
A♠ A♥ A♦ A♣ K♠ K♥ K♦ K♣ Q♠ Q♥ Q♦ Q♣ J♠ J♥ J♦ J♣ ⑽♠ ⑽♥ ⑽♦ ⑽♣ 9♠ 9♥ 9♦ 9♣ 8♠ 8♥ 8♦ 8♣ 7♠ 7♥ 7♦ 7♣ 6♠ 6♥ 6♦ 6♣ 5♠ 5♥ 5♦ 5♣ 4♠ 4♥ 4♦ 4♣ 3♠ 3♥ 3♦ 3♣ 2♠ 2♥ 2♦ 2♣
Now, we might be tempted to write two-card hands like this.
it1 = card_generator(ranks, suits)
it2 = card_generator(ranks, suits)
for hand in product2(it1, it2):
print(hand)
('A♠', 'A♠')
('A♠', 'A♥')
('A♠', 'A♦')
('A♠', 'A♣')
('A♠', 'K♠')
('A♠', 'K♥')
('A♠', 'K♦')
('A♠', 'K♣')
('A♠', 'Q♠')
('A♠', 'Q♥')
('A♠', 'Q♦')
('A♠', 'Q♣')
('A♠', 'J♠')
('A♠', 'J♥')
('A♠', 'J♦')
('A♠', 'J♣')
('A♠', '⑽♠')
('A♠', '⑽♥')
('A♠', '⑽♦')
('A♠', '⑽♣')
('A♠', '9♠')
('A♠', '9♥')
('A♠', '9♦')
('A♠', '9♣')
('A♠', '8♠')
('A♠', '8♥')
('A♠', '8♦')
('A♠', '8♣')
('A♠', '7♠')
('A♠', '7♥')
('A♠', '7♦')
('A♠', '7♣')
('A♠', '6♠')
('A♠', '6♥')
('A♠', '6♦')
('A♠', '6♣')
('A♠', '5♠')
('A♠', '5♥')
('A♠', '5♦')
('A♠', '5♣')
('A♠', '4♠')
('A♠', '4♥')
('A♠', '4♦')
('A♠', '4♣')
('A♠', '3♠')
('A♠', '3♥')
('A♠', '3♦')
('A♠', '3♣')
('A♠', '2♠')
('A♠', '2♥')
('A♠', '2♦')
('A♠', '2♣')
But that doesn’t work; it only generates the first 52 pairs. Before you go on, see if you can figure out why.
We can solve this problem by making each iterator into a tuple; then we can loop through them more than once. The price we pay is that we have to store all of the elements of the iterators.
def product2(it1, it2):
t1 = tuple(it1)
t2 = tuple(it2)
for x in t1:
for y in t2:
yield x, y
This version of product2 works if the arguments are iterators.
it1 = card_generator(ranks, suits)
it2 = card_generator(ranks, suits)
for hand in product2(it1, it2):
print(hand)
('A♠', 'A♠')
('A♠', 'A♥')
('A♠', 'A♦')
('A♠', 'A♣')
('A♠', 'K♠')
('A♠', 'K♥')
('A♠', 'K♦')
('A♠', 'K♣')
('A♠', 'Q♠')
('A♠', 'Q♥')
('A♠', 'Q♦')
('A♠', 'Q♣')
('A♠', 'J♠')
('A♠', 'J♥')
('A♠', 'J♦')
('A♠', 'J♣')
('A♠', '⑽♠')
('A♠', '⑽♥')
('A♠', '⑽♦')
('A♠', '⑽♣')
('A♠', '9♠')
('A♠', '9♥')
('A♠', '9♦')
('A♠', '9♣')
('A♠', '8♠')
('A♠', '8♥')
('A♠', '8♦')
('A♠', '8♣')
('A♠', '7♠')
('A♠', '7♥')
('A♠', '7♦')
('A♠', '7♣')
('A♠', '6♠')
('A♠', '6♥')
('A♠', '6♦')
('A♠', '6♣')
('A♠', '5♠')
('A♠', '5♥')
('A♠', '5♦')
('A♠', '5♣')
('A♠', '4♠')
('A♠', '4♥')
('A♠', '4♦')
('A♠', '4♣')
('A♠', '3♠')
('A♠', '3♥')
('A♠', '3♦')
('A♠', '3♣')
('A♠', '2♠')
('A♠', '2♥')
('A♠', '2♦')
('A♠', '2♣')
('A♥', 'A♠')
('A♥', 'A♥')
('A♥', 'A♦')
('A♥', 'A♣')
('A♥', 'K♠')
('A♥', 'K♥')
('A♥', 'K♦')
('A♥', 'K♣')
('A♥', 'Q♠')
('A♥', 'Q♥')
('A♥', 'Q♦')
('A♥', 'Q♣')
('A♥', 'J♠')
('A♥', 'J♥')
('A♥', 'J♦')
('A♥', 'J♣')
('A♥', '⑽♠')
('A♥', '⑽♥')
('A♥', '⑽♦')
('A♥', '⑽♣')
('A♥', '9♠')
('A♥', '9♥')
('A♥', '9♦')
('A♥', '9♣')
('A♥', '8♠')
('A♥', '8♥')
('A♥', '8♦')
('A♥', '8♣')
('A♥', '7♠')
('A♥', '7♥')
('A♥', '7♦')
('A♥', '7♣')
('A♥', '6♠')
('A♥', '6♥')
('A♥', '6♦')
('A♥', '6♣')
('A♥', '5♠')
('A♥', '5♥')
('A♥', '5♦')
('A♥', '5♣')
('A♥', '4♠')
('A♥', '4♥')
('A♥', '4♦')
('A♥', '4♣')
('A♥', '3♠')
('A♥', '3♥')
('A♥', '3♦')
('A♥', '3♣')
('A♥', '2♠')
('A♥', '2♥')
('A♥', '2♦')
('A♥', '2♣')
('A♦', 'A♠')
('A♦', 'A♥')
('A♦', 'A♦')
('A♦', 'A♣')
('A♦', 'K♠')
('A♦', 'K♥')
('A♦', 'K♦')
('A♦', 'K♣')
('A♦', 'Q♠')
('A♦', 'Q♥')
('A♦', 'Q♦')
('A♦', 'Q♣')
('A♦', 'J♠')
('A♦', 'J♥')
('A♦', 'J♦')
('A♦', 'J♣')
('A♦', '⑽♠')
('A♦', '⑽♥')
('A♦', '⑽♦')
('A♦', '⑽♣')
('A♦', '9♠')
('A♦', '9♥')
('A♦', '9♦')
('A♦', '9♣')
('A♦', '8♠')
('A♦', '8♥')
('A♦', '8♦')
('A♦', '8♣')
('A♦', '7♠')
('A♦', '7♥')
('A♦', '7♦')
('A♦', '7♣')
('A♦', '6♠')
('A♦', '6♥')
('A♦', '6♦')
('A♦', '6♣')
('A♦', '5♠')
('A♦', '5♥')
('A♦', '5♦')
('A♦', '5♣')
('A♦', '4♠')
('A♦', '4♥')
('A♦', '4♦')
('A♦', '4♣')
('A♦', '3♠')
('A♦', '3♥')
('A♦', '3♦')
('A♦', '3♣')
('A♦', '2♠')
('A♦', '2♥')
('A♦', '2♦')
('A♦', '2♣')
('A♣', 'A♠')
('A♣', 'A♥')
('A♣', 'A♦')
('A♣', 'A♣')
('A♣', 'K♠')
('A♣', 'K♥')
('A♣', 'K♦')
('A♣', 'K♣')
('A♣', 'Q♠')
('A♣', 'Q♥')
('A♣', 'Q♦')
('A♣', 'Q♣')
('A♣', 'J♠')
('A♣', 'J♥')
('A♣', 'J♦')
('A♣', 'J♣')
('A♣', '⑽♠')
('A♣', '⑽♥')
('A♣', '⑽♦')
('A♣', '⑽♣')
('A♣', '9♠')
('A♣', '9♥')
('A♣', '9♦')
('A♣', '9♣')
('A♣', '8♠')
('A♣', '8♥')
('A♣', '8♦')
('A♣', '8♣')
('A♣', '7♠')
('A♣', '7♥')
('A♣', '7♦')
('A♣', '7♣')
('A♣', '6♠')
('A♣', '6♥')
('A♣', '6♦')
('A♣', '6♣')
('A♣', '5♠')
('A♣', '5♥')
('A♣', '5♦')
('A♣', '5♣')
('A♣', '4♠')
('A♣', '4♥')
('A♣', '4♦')
('A♣', '4♣')
('A♣', '3♠')
('A♣', '3♥')
('A♣', '3♦')
('A♣', '3♣')
('A♣', '2♠')
('A♣', '2♥')
('A♣', '2♦')
('A♣', '2♣')
('K♠', 'A♠')
('K♠', 'A♥')
('K♠', 'A♦')
('K♠', 'A♣')
('K♠', 'K♠')
('K♠', 'K♥')
('K♠', 'K♦')
('K♠', 'K♣')
('K♠', 'Q♠')
('K♠', 'Q♥')
('K♠', 'Q♦')
('K♠', 'Q♣')
('K♠', 'J♠')
('K♠', 'J♥')
('K♠', 'J♦')
('K♠', 'J♣')
('K♠', '⑽♠')
('K♠', '⑽♥')
('K♠', '⑽♦')
('K♠', '⑽♣')
('K♠', '9♠')
('K♠', '9♥')
('K♠', '9♦')
('K♠', '9♣')
('K♠', '8♠')
('K♠', '8♥')
('K♠', '8♦')
('K♠', '8♣')
('K♠', '7♠')
('K♠', '7♥')
('K♠', '7♦')
('K♠', '7♣')
('K♠', '6♠')
('K♠', '6♥')
('K♠', '6♦')
('K♠', '6♣')
('K♠', '5♠')
('K♠', '5♥')
('K♠', '5♦')
('K♠', '5♣')
('K♠', '4♠')
('K♠', '4♥')
('K♠', '4♦')
('K♠', '4♣')
('K♠', '3♠')
('K♠', '3♥')
('K♠', '3♦')
('K♠', '3♣')
('K♠', '2♠')
('K♠', '2♥')
('K♠', '2♦')
('K♠', '2♣')
('K♥', 'A♠')
('K♥', 'A♥')
('K♥', 'A♦')
('K♥', 'A♣')
('K♥', 'K♠')
('K♥', 'K♥')
('K♥', 'K♦')
('K♥', 'K♣')
('K♥', 'Q♠')
('K♥', 'Q♥')
('K♥', 'Q♦')
('K♥', 'Q♣')
('K♥', 'J♠')
('K♥', 'J♥')
('K♥', 'J♦')
('K♥', 'J♣')
('K♥', '⑽♠')
('K♥', '⑽♥')
('K♥', '⑽♦')
('K♥', '⑽♣')
('K♥', '9♠')
('K♥', '9♥')
('K♥', '9♦')
('K♥', '9♣')
('K♥', '8♠')
('K♥', '8♥')
('K♥', '8♦')
('K♥', '8♣')
('K♥', '7♠')
('K♥', '7♥')
('K♥', '7♦')
('K♥', '7♣')
('K♥', '6♠')
('K♥', '6♥')
('K♥', '6♦')
('K♥', '6♣')
('K♥', '5♠')
('K♥', '5♥')
('K♥', '5♦')
('K♥', '5♣')
('K♥', '4♠')
('K♥', '4♥')
('K♥', '4♦')
('K♥', '4♣')
('K♥', '3♠')
('K♥', '3♥')
('K♥', '3♦')
('K♥', '3♣')
('K♥', '2♠')
('K♥', '2♥')
('K♥', '2♦')
('K♥', '2♣')
('K♦', 'A♠')
('K♦', 'A♥')
('K♦', 'A♦')
('K♦', 'A♣')
('K♦', 'K♠')
('K♦', 'K♥')
('K♦', 'K♦')
('K♦', 'K♣')
('K♦', 'Q♠')
('K♦', 'Q♥')
('K♦', 'Q♦')
('K♦', 'Q♣')
('K♦', 'J♠')
('K♦', 'J♥')
('K♦', 'J♦')
('K♦', 'J♣')
('K♦', '⑽♠')
('K♦', '⑽♥')
('K♦', '⑽♦')
('K♦', '⑽♣')
('K♦', '9♠')
('K♦', '9♥')
('K♦', '9♦')
('K♦', '9♣')
('K♦', '8♠')
('K♦', '8♥')
('K♦', '8♦')
('K♦', '8♣')
('K♦', '7♠')
('K♦', '7♥')
('K♦', '7♦')
('K♦', '7♣')
('K♦', '6♠')
('K♦', '6♥')
('K♦', '6♦')
('K♦', '6♣')
('K♦', '5♠')
('K♦', '5♥')
('K♦', '5♦')
('K♦', '5♣')
('K♦', '4♠')
('K♦', '4♥')
('K♦', '4♦')
('K♦', '4♣')
('K♦', '3♠')
('K♦', '3♥')
('K♦', '3♦')
('K♦', '3♣')
('K♦', '2♠')
('K♦', '2♥')
('K♦', '2♦')
('K♦', '2♣')
('K♣', 'A♠')
('K♣', 'A♥')
('K♣', 'A♦')
('K♣', 'A♣')
('K♣', 'K♠')
('K♣', 'K♥')
('K♣', 'K♦')
('K♣', 'K♣')
('K♣', 'Q♠')
('K♣', 'Q♥')
('K♣', 'Q♦')
('K♣', 'Q♣')
('K♣', 'J♠')
('K♣', 'J♥')
('K♣', 'J♦')
('K♣', 'J♣')
('K♣', '⑽♠')
('K♣', '⑽♥')
('K♣', '⑽♦')
('K♣', '⑽♣')
('K♣', '9♠')
('K♣', '9♥')
('K♣', '9♦')
('K♣', '9♣')
('K♣', '8♠')
('K♣', '8♥')
('K♣', '8♦')
('K♣', '8♣')
('K♣', '7♠')
('K♣', '7♥')
('K♣', '7♦')
('K♣', '7♣')
('K♣', '6♠')
('K♣', '6♥')
('K♣', '6♦')
('K♣', '6♣')
('K♣', '5♠')
('K♣', '5♥')
('K♣', '5♦')
('K♣', '5♣')
('K♣', '4♠')
('K♣', '4♥')
('K♣', '4♦')
('K♣', '4♣')
('K♣', '3♠')
('K♣', '3♥')
('K♣', '3♦')
('K♣', '3♣')
('K♣', '2♠')
('K♣', '2♥')
('K♣', '2♦')
('K♣', '2♣')
('Q♠', 'A♠')
('Q♠', 'A♥')
('Q♠', 'A♦')
('Q♠', 'A♣')
('Q♠', 'K♠')
('Q♠', 'K♥')
('Q♠', 'K♦')
('Q♠', 'K♣')
('Q♠', 'Q♠')
('Q♠', 'Q♥')
('Q♠', 'Q♦')
('Q♠', 'Q♣')
('Q♠', 'J♠')
('Q♠', 'J♥')
('Q♠', 'J♦')
('Q♠', 'J♣')
('Q♠', '⑽♠')
('Q♠', '⑽♥')
('Q♠', '⑽♦')
('Q♠', '⑽♣')
('Q♠', '9♠')
('Q♠', '9♥')
('Q♠', '9♦')
('Q♠', '9♣')
('Q♠', '8♠')
('Q♠', '8♥')
('Q♠', '8♦')
('Q♠', '8♣')
('Q♠', '7♠')
('Q♠', '7♥')
('Q♠', '7♦')
('Q♠', '7♣')
('Q♠', '6♠')
('Q♠', '6♥')
('Q♠', '6♦')
('Q♠', '6♣')
('Q♠', '5♠')
('Q♠', '5♥')
('Q♠', '5♦')
('Q♠', '5♣')
('Q♠', '4♠')
('Q♠', '4♥')
('Q♠', '4♦')
('Q♠', '4♣')
('Q♠', '3♠')
('Q♠', '3♥')
('Q♠', '3♦')
('Q♠', '3♣')
('Q♠', '2♠')
('Q♠', '2♥')
('Q♠', '2♦')
('Q♠', '2♣')
('Q♥', 'A♠')
('Q♥', 'A♥')
('Q♥', 'A♦')
('Q♥', 'A♣')
('Q♥', 'K♠')
('Q♥', 'K♥')
('Q♥', 'K♦')
('Q♥', 'K♣')
('Q♥', 'Q♠')
('Q♥', 'Q♥')
('Q♥', 'Q♦')
('Q♥', 'Q♣')
('Q♥', 'J♠')
('Q♥', 'J♥')
('Q♥', 'J♦')
('Q♥', 'J♣')
('Q♥', '⑽♠')
('Q♥', '⑽♥')
('Q♥', '⑽♦')
('Q♥', '⑽♣')
('Q♥', '9♠')
('Q♥', '9♥')
('Q♥', '9♦')
('Q♥', '9♣')
('Q♥', '8♠')
('Q♥', '8♥')
('Q♥', '8♦')
('Q♥', '8♣')
('Q♥', '7♠')
('Q♥', '7♥')
('Q♥', '7♦')
('Q♥', '7♣')
('Q♥', '6♠')
('Q♥', '6♥')
('Q♥', '6♦')
('Q♥', '6♣')
('Q♥', '5♠')
('Q♥', '5♥')
('Q♥', '5♦')
('Q♥', '5♣')
('Q♥', '4♠')
('Q♥', '4♥')
('Q♥', '4♦')
('Q♥', '4♣')
('Q♥', '3♠')
('Q♥', '3♥')
('Q♥', '3♦')
('Q♥', '3♣')
('Q♥', '2♠')
('Q♥', '2♥')
('Q♥', '2♦')
('Q♥', '2♣')
('Q♦', 'A♠')
('Q♦', 'A♥')
('Q♦', 'A♦')
('Q♦', 'A♣')
('Q♦', 'K♠')
('Q♦', 'K♥')
('Q♦', 'K♦')
('Q♦', 'K♣')
('Q♦', 'Q♠')
('Q♦', 'Q♥')
('Q♦', 'Q♦')
('Q♦', 'Q♣')
('Q♦', 'J♠')
('Q♦', 'J♥')
('Q♦', 'J♦')
('Q♦', 'J♣')
('Q♦', '⑽♠')
('Q♦', '⑽♥')
('Q♦', '⑽♦')
('Q♦', '⑽♣')
('Q♦', '9♠')
('Q♦', '9♥')
('Q♦', '9♦')
('Q♦', '9♣')
('Q♦', '8♠')
('Q♦', '8♥')
('Q♦', '8♦')
('Q♦', '8♣')
('Q♦', '7♠')
('Q♦', '7♥')
('Q♦', '7♦')
('Q♦', '7♣')
('Q♦', '6♠')
('Q♦', '6♥')
('Q♦', '6♦')
('Q♦', '6♣')
('Q♦', '5♠')
('Q♦', '5♥')
('Q♦', '5♦')
('Q♦', '5♣')
('Q♦', '4♠')
('Q♦', '4♥')
('Q♦', '4♦')
('Q♦', '4♣')
('Q♦', '3♠')
('Q♦', '3♥')
('Q♦', '3♦')
('Q♦', '3♣')
('Q♦', '2♠')
('Q♦', '2♥')
('Q♦', '2♦')
('Q♦', '2♣')
('Q♣', 'A♠')
('Q♣', 'A♥')
('Q♣', 'A♦')
('Q♣', 'A♣')
('Q♣', 'K♠')
('Q♣', 'K♥')
('Q♣', 'K♦')
('Q♣', 'K♣')
('Q♣', 'Q♠')
('Q♣', 'Q♥')
('Q♣', 'Q♦')
('Q♣', 'Q♣')
('Q♣', 'J♠')
('Q♣', 'J♥')
('Q♣', 'J♦')
('Q♣', 'J♣')
('Q♣', '⑽♠')
('Q♣', '⑽♥')
('Q♣', '⑽♦')
('Q♣', '⑽♣')
('Q♣', '9♠')
('Q♣', '9♥')
('Q♣', '9♦')
('Q♣', '9♣')
('Q♣', '8♠')
('Q♣', '8♥')
('Q♣', '8♦')
('Q♣', '8♣')
('Q♣', '7♠')
('Q♣', '7♥')
('Q♣', '7♦')
('Q♣', '7♣')
('Q♣', '6♠')
('Q♣', '6♥')
('Q♣', '6♦')
('Q♣', '6♣')
('Q♣', '5♠')
('Q♣', '5♥')
('Q♣', '5♦')
('Q♣', '5♣')
('Q♣', '4♠')
('Q♣', '4♥')
('Q♣', '4♦')
('Q♣', '4♣')
('Q♣', '3♠')
('Q♣', '3♥')
('Q♣', '3♦')
('Q♣', '3♣')
('Q♣', '2♠')
('Q♣', '2♥')
('Q♣', '2♦')
('Q♣', '2♣')
('J♠', 'A♠')
('J♠', 'A♥')
('J♠', 'A♦')
('J♠', 'A♣')
('J♠', 'K♠')
('J♠', 'K♥')
('J♠', 'K♦')
('J♠', 'K♣')
('J♠', 'Q♠')
('J♠', 'Q♥')
('J♠', 'Q♦')
('J♠', 'Q♣')
('J♠', 'J♠')
('J♠', 'J♥')
('J♠', 'J♦')
('J♠', 'J♣')
('J♠', '⑽♠')
('J♠', '⑽♥')
('J♠', '⑽♦')
('J♠', '⑽♣')
('J♠', '9♠')
('J♠', '9♥')
('J♠', '9♦')
('J♠', '9♣')
('J♠', '8♠')
('J♠', '8♥')
('J♠', '8♦')
('J♠', '8♣')
('J♠', '7♠')
('J♠', '7♥')
('J♠', '7♦')
('J♠', '7♣')
('J♠', '6♠')
('J♠', '6♥')
('J♠', '6♦')
('J♠', '6♣')
('J♠', '5♠')
('J♠', '5♥')
('J♠', '5♦')
('J♠', '5♣')
('J♠', '4♠')
('J♠', '4♥')
('J♠', '4♦')
('J♠', '4♣')
('J♠', '3♠')
('J♠', '3♥')
('J♠', '3♦')
('J♠', '3♣')
('J♠', '2♠')
('J♠', '2♥')
('J♠', '2♦')
('J♠', '2♣')
('J♥', 'A♠')
('J♥', 'A♥')
('J♥', 'A♦')
('J♥', 'A♣')
('J♥', 'K♠')
('J♥', 'K♥')
('J♥', 'K♦')
('J♥', 'K♣')
('J♥', 'Q♠')
('J♥', 'Q♥')
('J♥', 'Q♦')
('J♥', 'Q♣')
('J♥', 'J♠')
('J♥', 'J♥')
('J♥', 'J♦')
('J♥', 'J♣')
('J♥', '⑽♠')
('J♥', '⑽♥')
('J♥', '⑽♦')
('J♥', '⑽♣')
('J♥', '9♠')
('J♥', '9♥')
('J♥', '9♦')
('J♥', '9♣')
('J♥', '8♠')
('J♥', '8♥')
('J♥', '8♦')
('J♥', '8♣')
('J♥', '7♠')
('J♥', '7♥')
('J♥', '7♦')
('J♥', '7♣')
('J♥', '6♠')
('J♥', '6♥')
('J♥', '6♦')
('J♥', '6♣')
('J♥', '5♠')
('J♥', '5♥')
('J♥', '5♦')
('J♥', '5♣')
('J♥', '4♠')
('J♥', '4♥')
('J♥', '4♦')
('J♥', '4♣')
('J♥', '3♠')
('J♥', '3♥')
('J♥', '3♦')
('J♥', '3♣')
('J♥', '2♠')
('J♥', '2♥')
('J♥', '2♦')
('J♥', '2♣')
('J♦', 'A♠')
('J♦', 'A♥')
('J♦', 'A♦')
('J♦', 'A♣')
('J♦', 'K♠')
('J♦', 'K♥')
('J♦', 'K♦')
('J♦', 'K♣')
('J♦', 'Q♠')
('J♦', 'Q♥')
('J♦', 'Q♦')
('J♦', 'Q♣')
('J♦', 'J♠')
('J♦', 'J♥')
('J♦', 'J♦')
('J♦', 'J♣')
('J♦', '⑽♠')
('J♦', '⑽♥')
('J♦', '⑽♦')
('J♦', '⑽♣')
('J♦', '9♠')
('J♦', '9♥')
('J♦', '9♦')
('J♦', '9♣')
('J♦', '8♠')
('J♦', '8♥')
('J♦', '8♦')
('J♦', '8♣')
('J♦', '7♠')
('J♦', '7♥')
('J♦', '7♦')
('J♦', '7♣')
('J♦', '6♠')
('J♦', '6♥')
('J♦', '6♦')
('J♦', '6♣')
('J♦', '5♠')
('J♦', '5♥')
('J♦', '5♦')
('J♦', '5♣')
('J♦', '4♠')
('J♦', '4♥')
('J♦', '4♦')
('J♦', '4♣')
('J♦', '3♠')
('J♦', '3♥')
('J♦', '3♦')
('J♦', '3♣')
('J♦', '2♠')
('J♦', '2♥')
('J♦', '2♦')
('J♦', '2♣')
('J♣', 'A♠')
('J♣', 'A♥')
('J♣', 'A♦')
('J♣', 'A♣')
('J♣', 'K♠')
('J♣', 'K♥')
('J♣', 'K♦')
('J♣', 'K♣')
('J♣', 'Q♠')
('J♣', 'Q♥')
('J♣', 'Q♦')
('J♣', 'Q♣')
('J♣', 'J♠')
('J♣', 'J♥')
('J♣', 'J♦')
('J♣', 'J♣')
('J♣', '⑽♠')
('J♣', '⑽♥')
('J♣', '⑽♦')
('J♣', '⑽♣')
('J♣', '9♠')
('J♣', '9♥')
('J♣', '9♦')
('J♣', '9♣')
('J♣', '8♠')
('J♣', '8♥')
('J♣', '8♦')
('J♣', '8♣')
('J♣', '7♠')
('J♣', '7♥')
('J♣', '7♦')
('J♣', '7♣')
('J♣', '6♠')
('J♣', '6♥')
('J♣', '6♦')
('J♣', '6♣')
('J♣', '5♠')
('J♣', '5♥')
('J♣', '5♦')
('J♣', '5♣')
('J♣', '4♠')
('J♣', '4♥')
('J♣', '4♦')
('J♣', '4♣')
('J♣', '3♠')
('J♣', '3♥')
('J♣', '3♦')
('J♣', '3♣')
('J♣', '2♠')
('J♣', '2♥')
('J♣', '2♦')
('J♣', '2♣')
('⑽♠', 'A♠')
('⑽♠', 'A♥')
('⑽♠', 'A♦')
('⑽♠', 'A♣')
('⑽♠', 'K♠')
('⑽♠', 'K♥')
('⑽♠', 'K♦')
('⑽♠', 'K♣')
('⑽♠', 'Q♠')
('⑽♠', 'Q♥')
('⑽♠', 'Q♦')
('⑽♠', 'Q♣')
('⑽♠', 'J♠')
('⑽♠', 'J♥')
('⑽♠', 'J♦')
('⑽♠', 'J♣')
('⑽♠', '⑽♠')
('⑽♠', '⑽♥')
('⑽♠', '⑽♦')
('⑽♠', '⑽♣')
('⑽♠', '9♠')
('⑽♠', '9♥')
('⑽♠', '9♦')
('⑽♠', '9♣')
('⑽♠', '8♠')
('⑽♠', '8♥')
('⑽♠', '8♦')
('⑽♠', '8♣')
('⑽♠', '7♠')
('⑽♠', '7♥')
('⑽♠', '7♦')
('⑽♠', '7♣')
('⑽♠', '6♠')
('⑽♠', '6♥')
('⑽♠', '6♦')
('⑽♠', '6♣')
('⑽♠', '5♠')
('⑽♠', '5♥')
('⑽♠', '5♦')
('⑽♠', '5♣')
('⑽♠', '4♠')
('⑽♠', '4♥')
('⑽♠', '4♦')
('⑽♠', '4♣')
('⑽♠', '3♠')
('⑽♠', '3♥')
('⑽♠', '3♦')
('⑽♠', '3♣')
('⑽♠', '2♠')
('⑽♠', '2♥')
('⑽♠', '2♦')
('⑽♠', '2♣')
('⑽♥', 'A♠')
('⑽♥', 'A♥')
('⑽♥', 'A♦')
('⑽♥', 'A♣')
('⑽♥', 'K♠')
('⑽♥', 'K♥')
('⑽♥', 'K♦')
('⑽♥', 'K♣')
('⑽♥', 'Q♠')
('⑽♥', 'Q♥')
('⑽♥', 'Q♦')
('⑽♥', 'Q♣')
('⑽♥', 'J♠')
('⑽♥', 'J♥')
('⑽♥', 'J♦')
('⑽♥', 'J♣')
('⑽♥', '⑽♠')
('⑽♥', '⑽♥')
('⑽♥', '⑽♦')
('⑽♥', '⑽♣')
('⑽♥', '9♠')
('⑽♥', '9♥')
('⑽♥', '9♦')
('⑽♥', '9♣')
('⑽♥', '8♠')
('⑽♥', '8♥')
('⑽♥', '8♦')
('⑽♥', '8♣')
('⑽♥', '7♠')
('⑽♥', '7♥')
('⑽♥', '7♦')
('⑽♥', '7♣')
('⑽♥', '6♠')
('⑽♥', '6♥')
('⑽♥', '6♦')
('⑽♥', '6♣')
('⑽♥', '5♠')
('⑽♥', '5♥')
('⑽♥', '5♦')
('⑽♥', '5♣')
('⑽♥', '4♠')
('⑽♥', '4♥')
('⑽♥', '4♦')
('⑽♥', '4♣')
('⑽♥', '3♠')
('⑽♥', '3♥')
('⑽♥', '3♦')
('⑽♥', '3♣')
('⑽♥', '2♠')
('⑽♥', '2♥')
('⑽♥', '2♦')
('⑽♥', '2♣')
('⑽♦', 'A♠')
('⑽♦', 'A♥')
('⑽♦', 'A♦')
('⑽♦', 'A♣')
('⑽♦', 'K♠')
('⑽♦', 'K♥')
('⑽♦', 'K♦')
('⑽♦', 'K♣')
('⑽♦', 'Q♠')
('⑽♦', 'Q♥')
('⑽♦', 'Q♦')
('⑽♦', 'Q♣')
('⑽♦', 'J♠')
('⑽♦', 'J♥')
('⑽♦', 'J♦')
('⑽♦', 'J♣')
('⑽♦', '⑽♠')
('⑽♦', '⑽♥')
('⑽♦', '⑽♦')
('⑽♦', '⑽♣')
('⑽♦', '9♠')
('⑽♦', '9♥')
('⑽♦', '9♦')
('⑽♦', '9♣')
('⑽♦', '8♠')
('⑽♦', '8♥')
('⑽♦', '8♦')
('⑽♦', '8♣')
('⑽♦', '7♠')
('⑽♦', '7♥')
('⑽♦', '7♦')
('⑽♦', '7♣')
('⑽♦', '6♠')
('⑽♦', '6♥')
('⑽♦', '6♦')
('⑽♦', '6♣')
('⑽♦', '5♠')
('⑽♦', '5♥')
('⑽♦', '5♦')
('⑽♦', '5♣')
('⑽♦', '4♠')
('⑽♦', '4♥')
('⑽♦', '4♦')
('⑽♦', '4♣')
('⑽♦', '3♠')
('⑽♦', '3♥')
('⑽♦', '3♦')
('⑽♦', '3♣')
('⑽♦', '2♠')
('⑽♦', '2♥')
('⑽♦', '2♦')
('⑽♦', '2♣')
('⑽♣', 'A♠')
('⑽♣', 'A♥')
('⑽♣', 'A♦')
('⑽♣', 'A♣')
('⑽♣', 'K♠')
('⑽♣', 'K♥')
('⑽♣', 'K♦')
('⑽♣', 'K♣')
('⑽♣', 'Q♠')
('⑽♣', 'Q♥')
('⑽♣', 'Q♦')
('⑽♣', 'Q♣')
('⑽♣', 'J♠')
('⑽♣', 'J♥')
('⑽♣', 'J♦')
('⑽♣', 'J♣')
('⑽♣', '⑽♠')
('⑽♣', '⑽♥')
('⑽♣', '⑽♦')
('⑽♣', '⑽♣')
('⑽♣', '9♠')
('⑽♣', '9♥')
('⑽♣', '9♦')
('⑽♣', '9♣')
('⑽♣', '8♠')
('⑽♣', '8♥')
('⑽♣', '8♦')
('⑽♣', '8♣')
('⑽♣', '7♠')
('⑽♣', '7♥')
('⑽♣', '7♦')
('⑽♣', '7♣')
('⑽♣', '6♠')
('⑽♣', '6♥')
('⑽♣', '6♦')
('⑽♣', '6♣')
('⑽♣', '5♠')
('⑽♣', '5♥')
('⑽♣', '5♦')
('⑽♣', '5♣')
('⑽♣', '4♠')
('⑽♣', '4♥')
('⑽♣', '4♦')
('⑽♣', '4♣')
('⑽♣', '3♠')
('⑽♣', '3♥')
('⑽♣', '3♦')
('⑽♣', '3♣')
('⑽♣', '2♠')
('⑽♣', '2♥')
('⑽♣', '2♦')
('⑽♣', '2♣')
('9♠', 'A♠')
('9♠', 'A♥')
('9♠', 'A♦')
('9♠', 'A♣')
('9♠', 'K♠')
('9♠', 'K♥')
('9♠', 'K♦')
('9♠', 'K♣')
('9♠', 'Q♠')
('9♠', 'Q♥')
('9♠', 'Q♦')
('9♠', 'Q♣')
('9♠', 'J♠')
('9♠', 'J♥')
('9♠', 'J♦')
('9♠', 'J♣')
('9♠', '⑽♠')
('9♠', '⑽♥')
('9♠', '⑽♦')
('9♠', '⑽♣')
('9♠', '9♠')
('9♠', '9♥')
('9♠', '9♦')
('9♠', '9♣')
('9♠', '8♠')
('9♠', '8♥')
('9♠', '8♦')
('9♠', '8♣')
('9♠', '7♠')
('9♠', '7♥')
('9♠', '7♦')
('9♠', '7♣')
('9♠', '6♠')
('9♠', '6♥')
('9♠', '6♦')
('9♠', '6♣')
('9♠', '5♠')
('9♠', '5♥')
('9♠', '5♦')
('9♠', '5♣')
('9♠', '4♠')
('9♠', '4♥')
('9♠', '4♦')
('9♠', '4♣')
('9♠', '3♠')
('9♠', '3♥')
('9♠', '3♦')
('9♠', '3♣')
('9♠', '2♠')
('9♠', '2♥')
('9♠', '2♦')
('9♠', '2♣')
('9♥', 'A♠')
('9♥', 'A♥')
('9♥', 'A♦')
('9♥', 'A♣')
('9♥', 'K♠')
('9♥', 'K♥')
('9♥', 'K♦')
('9♥', 'K♣')
('9♥', 'Q♠')
('9♥', 'Q♥')
('9♥', 'Q♦')
('9♥', 'Q♣')
('9♥', 'J♠')
('9♥', 'J♥')
('9♥', 'J♦')
('9♥', 'J♣')
('9♥', '⑽♠')
('9♥', '⑽♥')
('9♥', '⑽♦')
('9♥', '⑽♣')
('9♥', '9♠')
('9♥', '9♥')
('9♥', '9♦')
('9♥', '9♣')
('9♥', '8♠')
('9♥', '8♥')
('9♥', '8♦')
('9♥', '8♣')
('9♥', '7♠')
('9♥', '7♥')
('9♥', '7♦')
('9♥', '7♣')
('9♥', '6♠')
('9♥', '6♥')
('9♥', '6♦')
('9♥', '6♣')
('9♥', '5♠')
('9♥', '5♥')
('9♥', '5♦')
('9♥', '5♣')
('9♥', '4♠')
('9♥', '4♥')
('9♥', '4♦')
('9♥', '4♣')
('9♥', '3♠')
('9♥', '3♥')
('9♥', '3♦')
('9♥', '3♣')
('9♥', '2♠')
('9♥', '2♥')
('9♥', '2♦')
('9♥', '2♣')
('9♦', 'A♠')
('9♦', 'A♥')
('9♦', 'A♦')
('9♦', 'A♣')
('9♦', 'K♠')
('9♦', 'K♥')
('9♦', 'K♦')
('9♦', 'K♣')
('9♦', 'Q♠')
('9♦', 'Q♥')
('9♦', 'Q♦')
('9♦', 'Q♣')
('9♦', 'J♠')
('9♦', 'J♥')
('9♦', 'J♦')
('9♦', 'J♣')
('9♦', '⑽♠')
('9♦', '⑽♥')
('9♦', '⑽♦')
('9♦', '⑽♣')
('9♦', '9♠')
('9♦', '9♥')
('9♦', '9♦')
('9♦', '9♣')
('9♦', '8♠')
('9♦', '8♥')
('9♦', '8♦')
('9♦', '8♣')
('9♦', '7♠')
('9♦', '7♥')
('9♦', '7♦')
('9♦', '7♣')
('9♦', '6♠')
('9♦', '6♥')
('9♦', '6♦')
('9♦', '6♣')
('9♦', '5♠')
('9♦', '5♥')
('9♦', '5♦')
('9♦', '5♣')
('9♦', '4♠')
('9♦', '4♥')
('9♦', '4♦')
('9♦', '4♣')
('9♦', '3♠')
('9♦', '3♥')
('9♦', '3♦')
('9♦', '3♣')
('9♦', '2♠')
('9♦', '2♥')
('9♦', '2♦')
('9♦', '2♣')
('9♣', 'A♠')
('9♣', 'A♥')
('9♣', 'A♦')
('9♣', 'A♣')
('9♣', 'K♠')
('9♣', 'K♥')
('9♣', 'K♦')
('9♣', 'K♣')
('9♣', 'Q♠')
('9♣', 'Q♥')
('9♣', 'Q♦')
('9♣', 'Q♣')
('9♣', 'J♠')
('9♣', 'J♥')
('9♣', 'J♦')
('9♣', 'J♣')
('9♣', '⑽♠')
('9♣', '⑽♥')
('9♣', '⑽♦')
('9♣', '⑽♣')
('9♣', '9♠')
('9♣', '9♥')
('9♣', '9♦')
('9♣', '9♣')
('9♣', '8♠')
('9♣', '8♥')
('9♣', '8♦')
('9♣', '8♣')
('9♣', '7♠')
('9♣', '7♥')
('9♣', '7♦')
('9♣', '7♣')
('9♣', '6♠')
('9♣', '6♥')
('9♣', '6♦')
('9♣', '6♣')
('9♣', '5♠')
('9♣', '5♥')
('9♣', '5♦')
('9♣', '5♣')
('9♣', '4♠')
('9♣', '4♥')
('9♣', '4♦')
('9♣', '4♣')
('9♣', '3♠')
('9♣', '3♥')
('9♣', '3♦')
('9♣', '3♣')
('9♣', '2♠')
('9♣', '2♥')
('9♣', '2♦')
('9♣', '2♣')
('8♠', 'A♠')
('8♠', 'A♥')
('8♠', 'A♦')
('8♠', 'A♣')
('8♠', 'K♠')
('8♠', 'K♥')
('8♠', 'K♦')
('8♠', 'K♣')
('8♠', 'Q♠')
('8♠', 'Q♥')
('8♠', 'Q♦')
('8♠', 'Q♣')
('8♠', 'J♠')
('8♠', 'J♥')
('8♠', 'J♦')
('8♠', 'J♣')
('8♠', '⑽♠')
('8♠', '⑽♥')
('8♠', '⑽♦')
('8♠', '⑽♣')
('8♠', '9♠')
('8♠', '9♥')
('8♠', '9♦')
('8♠', '9♣')
('8♠', '8♠')
('8♠', '8♥')
('8♠', '8♦')
('8♠', '8♣')
('8♠', '7♠')
('8♠', '7♥')
('8♠', '7♦')
('8♠', '7♣')
('8♠', '6♠')
('8♠', '6♥')
('8♠', '6♦')
('8♠', '6♣')
('8♠', '5♠')
('8♠', '5♥')
('8♠', '5♦')
('8♠', '5♣')
('8♠', '4♠')
('8♠', '4♥')
('8♠', '4♦')
('8♠', '4♣')
('8♠', '3♠')
('8♠', '3♥')
('8♠', '3♦')
('8♠', '3♣')
('8♠', '2♠')
('8♠', '2♥')
('8♠', '2♦')
('8♠', '2♣')
('8♥', 'A♠')
('8♥', 'A♥')
('8♥', 'A♦')
('8♥', 'A♣')
('8♥', 'K♠')
('8♥', 'K♥')
('8♥', 'K♦')
('8♥', 'K♣')
('8♥', 'Q♠')
('8♥', 'Q♥')
('8♥', 'Q♦')
('8♥', 'Q♣')
('8♥', 'J♠')
('8♥', 'J♥')
('8♥', 'J♦')
('8♥', 'J♣')
('8♥', '⑽♠')
('8♥', '⑽♥')
('8♥', '⑽♦')
('8♥', '⑽♣')
('8♥', '9♠')
('8♥', '9♥')
('8♥', '9♦')
('8♥', '9♣')
('8♥', '8♠')
('8♥', '8♥')
('8♥', '8♦')
('8♥', '8♣')
('8♥', '7♠')
('8♥', '7♥')
('8♥', '7♦')
('8♥', '7♣')
('8♥', '6♠')
('8♥', '6♥')
('8♥', '6♦')
('8♥', '6♣')
('8♥', '5♠')
('8♥', '5♥')
('8♥', '5♦')
('8♥', '5♣')
('8♥', '4♠')
('8♥', '4♥')
('8♥', '4♦')
('8♥', '4♣')
('8♥', '3♠')
('8♥', '3♥')
('8♥', '3♦')
('8♥', '3♣')
('8♥', '2♠')
('8♥', '2♥')
('8♥', '2♦')
('8♥', '2♣')
('8♦', 'A♠')
('8♦', 'A♥')
('8♦', 'A♦')
('8♦', 'A♣')
('8♦', 'K♠')
('8♦', 'K♥')
('8♦', 'K♦')
('8♦', 'K♣')
('8♦', 'Q♠')
('8♦', 'Q♥')
('8♦', 'Q♦')
('8♦', 'Q♣')
('8♦', 'J♠')
('8♦', 'J♥')
('8♦', 'J♦')
('8♦', 'J♣')
('8♦', '⑽♠')
('8♦', '⑽♥')
('8♦', '⑽♦')
('8♦', '⑽♣')
('8♦', '9♠')
('8♦', '9♥')
('8♦', '9♦')
('8♦', '9♣')
('8♦', '8♠')
('8♦', '8♥')
('8♦', '8♦')
('8♦', '8♣')
('8♦', '7♠')
('8♦', '7♥')
('8♦', '7♦')
('8♦', '7♣')
('8♦', '6♠')
('8♦', '6♥')
('8♦', '6♦')
('8♦', '6♣')
('8♦', '5♠')
('8♦', '5♥')
('8♦', '5♦')
('8♦', '5♣')
('8♦', '4♠')
('8♦', '4♥')
('8♦', '4♦')
('8♦', '4♣')
('8♦', '3♠')
('8♦', '3♥')
('8♦', '3♦')
('8♦', '3♣')
('8♦', '2♠')
('8♦', '2♥')
('8♦', '2♦')
('8♦', '2♣')
('8♣', 'A♠')
('8♣', 'A♥')
('8♣', 'A♦')
('8♣', 'A♣')
('8♣', 'K♠')
('8♣', 'K♥')
('8♣', 'K♦')
('8♣', 'K♣')
('8♣', 'Q♠')
('8♣', 'Q♥')
('8♣', 'Q♦')
('8♣', 'Q♣')
('8♣', 'J♠')
('8♣', 'J♥')
('8♣', 'J♦')
('8♣', 'J♣')
('8♣', '⑽♠')
('8♣', '⑽♥')
('8♣', '⑽♦')
('8♣', '⑽♣')
('8♣', '9♠')
('8♣', '9♥')
('8♣', '9♦')
('8♣', '9♣')
('8♣', '8♠')
('8♣', '8♥')
('8♣', '8♦')
('8♣', '8♣')
('8♣', '7♠')
('8♣', '7♥')
('8♣', '7♦')
('8♣', '7♣')
('8♣', '6♠')
('8♣', '6♥')
('8♣', '6♦')
('8♣', '6♣')
('8♣', '5♠')
('8♣', '5♥')
('8♣', '5♦')
('8♣', '5♣')
('8♣', '4♠')
('8♣', '4♥')
('8♣', '4♦')
('8♣', '4♣')
('8♣', '3♠')
('8♣', '3♥')
('8♣', '3♦')
('8♣', '3♣')
('8♣', '2♠')
('8♣', '2♥')
('8♣', '2♦')
('8♣', '2♣')
('7♠', 'A♠')
('7♠', 'A♥')
('7♠', 'A♦')
('7♠', 'A♣')
('7♠', 'K♠')
('7♠', 'K♥')
('7♠', 'K♦')
('7♠', 'K♣')
('7♠', 'Q♠')
('7♠', 'Q♥')
('7♠', 'Q♦')
('7♠', 'Q♣')
('7♠', 'J♠')
('7♠', 'J♥')
('7♠', 'J♦')
('7♠', 'J♣')
('7♠', '⑽♠')
('7♠', '⑽♥')
('7♠', '⑽♦')
('7♠', '⑽♣')
('7♠', '9♠')
('7♠', '9♥')
('7♠', '9♦')
('7♠', '9♣')
('7♠', '8♠')
('7♠', '8♥')
('7♠', '8♦')
('7♠', '8♣')
('7♠', '7♠')
('7♠', '7♥')
('7♠', '7♦')
('7♠', '7♣')
('7♠', '6♠')
('7♠', '6♥')
('7♠', '6♦')
('7♠', '6♣')
('7♠', '5♠')
('7♠', '5♥')
('7♠', '5♦')
('7♠', '5♣')
('7♠', '4♠')
('7♠', '4♥')
('7♠', '4♦')
('7♠', '4♣')
('7♠', '3♠')
('7♠', '3♥')
('7♠', '3♦')
('7♠', '3♣')
('7♠', '2♠')
('7♠', '2♥')
('7♠', '2♦')
('7♠', '2♣')
('7♥', 'A♠')
('7♥', 'A♥')
('7♥', 'A♦')
('7♥', 'A♣')
('7♥', 'K♠')
('7♥', 'K♥')
('7♥', 'K♦')
('7♥', 'K♣')
('7♥', 'Q♠')
('7♥', 'Q♥')
('7♥', 'Q♦')
('7♥', 'Q♣')
('7♥', 'J♠')
('7♥', 'J♥')
('7♥', 'J♦')
('7♥', 'J♣')
('7♥', '⑽♠')
('7♥', '⑽♥')
('7♥', '⑽♦')
('7♥', '⑽♣')
('7♥', '9♠')
('7♥', '9♥')
('7♥', '9♦')
('7♥', '9♣')
('7♥', '8♠')
('7♥', '8♥')
('7♥', '8♦')
('7♥', '8♣')
('7♥', '7♠')
('7♥', '7♥')
('7♥', '7♦')
('7♥', '7♣')
('7♥', '6♠')
('7♥', '6♥')
('7♥', '6♦')
('7♥', '6♣')
('7♥', '5♠')
('7♥', '5♥')
('7♥', '5♦')
('7♥', '5♣')
('7♥', '4♠')
('7♥', '4♥')
('7♥', '4♦')
('7♥', '4♣')
('7♥', '3♠')
('7♥', '3♥')
('7♥', '3♦')
('7♥', '3♣')
('7♥', '2♠')
('7♥', '2♥')
('7♥', '2♦')
('7♥', '2♣')
('7♦', 'A♠')
('7♦', 'A♥')
('7♦', 'A♦')
('7♦', 'A♣')
('7♦', 'K♠')
('7♦', 'K♥')
('7♦', 'K♦')
('7♦', 'K♣')
('7♦', 'Q♠')
('7♦', 'Q♥')
('7♦', 'Q♦')
('7♦', 'Q♣')
('7♦', 'J♠')
('7♦', 'J♥')
('7♦', 'J♦')
('7♦', 'J♣')
('7♦', '⑽♠')
('7♦', '⑽♥')
('7♦', '⑽♦')
('7♦', '⑽♣')
('7♦', '9♠')
('7♦', '9♥')
('7♦', '9♦')
('7♦', '9♣')
('7♦', '8♠')
('7♦', '8♥')
('7♦', '8♦')
('7♦', '8♣')
('7♦', '7♠')
('7♦', '7♥')
('7♦', '7♦')
('7♦', '7♣')
('7♦', '6♠')
('7♦', '6♥')
('7♦', '6♦')
('7♦', '6♣')
('7♦', '5♠')
('7♦', '5♥')
('7♦', '5♦')
('7♦', '5♣')
('7♦', '4♠')
('7♦', '4♥')
('7♦', '4♦')
('7♦', '4♣')
('7♦', '3♠')
('7♦', '3♥')
('7♦', '3♦')
('7♦', '3♣')
('7♦', '2♠')
('7♦', '2♥')
('7♦', '2♦')
('7♦', '2♣')
('7♣', 'A♠')
('7♣', 'A♥')
('7♣', 'A♦')
('7♣', 'A♣')
('7♣', 'K♠')
('7♣', 'K♥')
('7♣', 'K♦')
('7♣', 'K♣')
('7♣', 'Q♠')
('7♣', 'Q♥')
('7♣', 'Q♦')
('7♣', 'Q♣')
('7♣', 'J♠')
('7♣', 'J♥')
('7♣', 'J♦')
('7♣', 'J♣')
('7♣', '⑽♠')
('7♣', '⑽♥')
('7♣', '⑽♦')
('7♣', '⑽♣')
('7♣', '9♠')
('7♣', '9♥')
('7♣', '9♦')
('7♣', '9♣')
('7♣', '8♠')
('7♣', '8♥')
('7♣', '8♦')
('7♣', '8♣')
('7♣', '7♠')
('7♣', '7♥')
('7♣', '7♦')
('7♣', '7♣')
('7♣', '6♠')
('7♣', '6♥')
('7♣', '6♦')
('7♣', '6♣')
('7♣', '5♠')
('7♣', '5♥')
('7♣', '5♦')
('7♣', '5♣')
('7♣', '4♠')
('7♣', '4♥')
('7♣', '4♦')
('7♣', '4♣')
('7♣', '3♠')
('7♣', '3♥')
('7♣', '3♦')
('7♣', '3♣')
('7♣', '2♠')
('7♣', '2♥')
('7♣', '2♦')
('7♣', '2♣')
('6♠', 'A♠')
('6♠', 'A♥')
('6♠', 'A♦')
('6♠', 'A♣')
('6♠', 'K♠')
('6♠', 'K♥')
('6♠', 'K♦')
('6♠', 'K♣')
('6♠', 'Q♠')
('6♠', 'Q♥')
('6♠', 'Q♦')
('6♠', 'Q♣')
('6♠', 'J♠')
('6♠', 'J♥')
('6♠', 'J♦')
('6♠', 'J♣')
('6♠', '⑽♠')
('6♠', '⑽♥')
('6♠', '⑽♦')
('6♠', '⑽♣')
('6♠', '9♠')
('6♠', '9♥')
('6♠', '9♦')
('6♠', '9♣')
('6♠', '8♠')
('6♠', '8♥')
('6♠', '8♦')
('6♠', '8♣')
('6♠', '7♠')
('6♠', '7♥')
('6♠', '7♦')
('6♠', '7♣')
('6♠', '6♠')
('6♠', '6♥')
('6♠', '6♦')
('6♠', '6♣')
('6♠', '5♠')
('6♠', '5♥')
('6♠', '5♦')
('6♠', '5♣')
('6♠', '4♠')
('6♠', '4♥')
('6♠', '4♦')
('6♠', '4♣')
('6♠', '3♠')
('6♠', '3♥')
('6♠', '3♦')
('6♠', '3♣')
('6♠', '2♠')
('6♠', '2♥')
('6♠', '2♦')
('6♠', '2♣')
('6♥', 'A♠')
('6♥', 'A♥')
('6♥', 'A♦')
('6♥', 'A♣')
('6♥', 'K♠')
('6♥', 'K♥')
('6♥', 'K♦')
('6♥', 'K♣')
('6♥', 'Q♠')
('6♥', 'Q♥')
('6♥', 'Q♦')
('6♥', 'Q♣')
('6♥', 'J♠')
('6♥', 'J♥')
('6♥', 'J♦')
('6♥', 'J♣')
('6♥', '⑽♠')
('6♥', '⑽♥')
('6♥', '⑽♦')
('6♥', '⑽♣')
('6♥', '9♠')
('6♥', '9♥')
('6♥', '9♦')
('6♥', '9♣')
('6♥', '8♠')
('6♥', '8♥')
('6♥', '8♦')
('6♥', '8♣')
('6♥', '7♠')
('6♥', '7♥')
('6♥', '7♦')
('6♥', '7♣')
('6♥', '6♠')
('6♥', '6♥')
('6♥', '6♦')
('6♥', '6♣')
('6♥', '5♠')
('6♥', '5♥')
('6♥', '5♦')
('6♥', '5♣')
('6♥', '4♠')
('6♥', '4♥')
('6♥', '4♦')
('6♥', '4♣')
('6♥', '3♠')
('6♥', '3♥')
('6♥', '3♦')
('6♥', '3♣')
('6♥', '2♠')
('6♥', '2♥')
('6♥', '2♦')
('6♥', '2♣')
('6♦', 'A♠')
('6♦', 'A♥')
('6♦', 'A♦')
('6♦', 'A♣')
('6♦', 'K♠')
('6♦', 'K♥')
('6♦', 'K♦')
('6♦', 'K♣')
('6♦', 'Q♠')
('6♦', 'Q♥')
('6♦', 'Q♦')
('6♦', 'Q♣')
('6♦', 'J♠')
('6♦', 'J♥')
('6♦', 'J♦')
('6♦', 'J♣')
('6♦', '⑽♠')
('6♦', '⑽♥')
('6♦', '⑽♦')
('6♦', '⑽♣')
('6♦', '9♠')
('6♦', '9♥')
('6♦', '9♦')
('6♦', '9♣')
('6♦', '8♠')
('6♦', '8♥')
('6♦', '8♦')
('6♦', '8♣')
('6♦', '7♠')
('6♦', '7♥')
('6♦', '7♦')
('6♦', '7♣')
('6♦', '6♠')
('6♦', '6♥')
('6♦', '6♦')
('6♦', '6♣')
('6♦', '5♠')
('6♦', '5♥')
('6♦', '5♦')
('6♦', '5♣')
('6♦', '4♠')
('6♦', '4♥')
('6♦', '4♦')
('6♦', '4♣')
('6♦', '3♠')
('6♦', '3♥')
('6♦', '3♦')
('6♦', '3♣')
('6♦', '2♠')
('6♦', '2♥')
('6♦', '2♦')
('6♦', '2♣')
('6♣', 'A♠')
('6♣', 'A♥')
('6♣', 'A♦')
('6♣', 'A♣')
('6♣', 'K♠')
('6♣', 'K♥')
('6♣', 'K♦')
('6♣', 'K♣')
('6♣', 'Q♠')
('6♣', 'Q♥')
('6♣', 'Q♦')
('6♣', 'Q♣')
('6♣', 'J♠')
('6♣', 'J♥')
('6♣', 'J♦')
('6♣', 'J♣')
('6♣', '⑽♠')
('6♣', '⑽♥')
('6♣', '⑽♦')
('6♣', '⑽♣')
('6♣', '9♠')
('6♣', '9♥')
('6♣', '9♦')
('6♣', '9♣')
('6♣', '8♠')
('6♣', '8♥')
('6♣', '8♦')
('6♣', '8♣')
('6♣', '7♠')
('6♣', '7♥')
('6♣', '7♦')
('6♣', '7♣')
('6♣', '6♠')
('6♣', '6♥')
('6♣', '6♦')
('6♣', '6♣')
('6♣', '5♠')
('6♣', '5♥')
('6♣', '5♦')
('6♣', '5♣')
('6♣', '4♠')
('6♣', '4♥')
('6♣', '4♦')
('6♣', '4♣')
('6♣', '3♠')
('6♣', '3♥')
('6♣', '3♦')
('6♣', '3♣')
('6♣', '2♠')
('6♣', '2♥')
('6♣', '2♦')
('6♣', '2♣')
('5♠', 'A♠')
('5♠', 'A♥')
('5♠', 'A♦')
('5♠', 'A♣')
('5♠', 'K♠')
('5♠', 'K♥')
('5♠', 'K♦')
('5♠', 'K♣')
('5♠', 'Q♠')
('5♠', 'Q♥')
('5♠', 'Q♦')
('5♠', 'Q♣')
('5♠', 'J♠')
('5♠', 'J♥')
('5♠', 'J♦')
('5♠', 'J♣')
('5♠', '⑽♠')
('5♠', '⑽♥')
('5♠', '⑽♦')
('5♠', '⑽♣')
('5♠', '9♠')
('5♠', '9♥')
('5♠', '9♦')
('5♠', '9♣')
('5♠', '8♠')
('5♠', '8♥')
('5♠', '8♦')
('5♠', '8♣')
('5♠', '7♠')
('5♠', '7♥')
('5♠', '7♦')
('5♠', '7♣')
('5♠', '6♠')
('5♠', '6♥')
('5♠', '6♦')
('5♠', '6♣')
('5♠', '5♠')
('5♠', '5♥')
('5♠', '5♦')
('5♠', '5♣')
('5♠', '4♠')
('5♠', '4♥')
('5♠', '4♦')
('5♠', '4♣')
('5♠', '3♠')
('5♠', '3♥')
('5♠', '3♦')
('5♠', '3♣')
('5♠', '2♠')
('5♠', '2♥')
('5♠', '2♦')
('5♠', '2♣')
('5♥', 'A♠')
('5♥', 'A♥')
('5♥', 'A♦')
('5♥', 'A♣')
('5♥', 'K♠')
('5♥', 'K♥')
('5♥', 'K♦')
('5♥', 'K♣')
('5♥', 'Q♠')
('5♥', 'Q♥')
('5♥', 'Q♦')
('5♥', 'Q♣')
('5♥', 'J♠')
('5♥', 'J♥')
('5♥', 'J♦')
('5♥', 'J♣')
('5♥', '⑽♠')
('5♥', '⑽♥')
('5♥', '⑽♦')
('5♥', '⑽♣')
('5♥', '9♠')
('5♥', '9♥')
('5♥', '9♦')
('5♥', '9♣')
('5♥', '8♠')
('5♥', '8♥')
('5♥', '8♦')
('5♥', '8♣')
('5♥', '7♠')
('5♥', '7♥')
('5♥', '7♦')
('5♥', '7♣')
('5♥', '6♠')
('5♥', '6♥')
('5♥', '6♦')
('5♥', '6♣')
('5♥', '5♠')
('5♥', '5♥')
('5♥', '5♦')
('5♥', '5♣')
('5♥', '4♠')
('5♥', '4♥')
('5♥', '4♦')
('5♥', '4♣')
('5♥', '3♠')
('5♥', '3♥')
('5♥', '3♦')
('5♥', '3♣')
('5♥', '2♠')
('5♥', '2♥')
('5♥', '2♦')
('5♥', '2♣')
('5♦', 'A♠')
('5♦', 'A♥')
('5♦', 'A♦')
('5♦', 'A♣')
('5♦', 'K♠')
('5♦', 'K♥')
('5♦', 'K♦')
('5♦', 'K♣')
('5♦', 'Q♠')
('5♦', 'Q♥')
('5♦', 'Q♦')
('5♦', 'Q♣')
('5♦', 'J♠')
('5♦', 'J♥')
('5♦', 'J♦')
('5♦', 'J♣')
('5♦', '⑽♠')
('5♦', '⑽♥')
('5♦', '⑽♦')
('5♦', '⑽♣')
('5♦', '9♠')
('5♦', '9♥')
('5♦', '9♦')
('5♦', '9♣')
('5♦', '8♠')
('5♦', '8♥')
('5♦', '8♦')
('5♦', '8♣')
('5♦', '7♠')
('5♦', '7♥')
('5♦', '7♦')
('5♦', '7♣')
('5♦', '6♠')
('5♦', '6♥')
('5♦', '6♦')
('5♦', '6♣')
('5♦', '5♠')
('5♦', '5♥')
('5♦', '5♦')
('5♦', '5♣')
('5♦', '4♠')
('5♦', '4♥')
('5♦', '4♦')
('5♦', '4♣')
('5♦', '3♠')
('5♦', '3♥')
('5♦', '3♦')
('5♦', '3♣')
('5♦', '2♠')
('5♦', '2♥')
('5♦', '2♦')
('5♦', '2♣')
('5♣', 'A♠')
('5♣', 'A♥')
('5♣', 'A♦')
('5♣', 'A♣')
('5♣', 'K♠')
('5♣', 'K♥')
('5♣', 'K♦')
('5♣', 'K♣')
('5♣', 'Q♠')
('5♣', 'Q♥')
('5♣', 'Q♦')
('5♣', 'Q♣')
('5♣', 'J♠')
('5♣', 'J♥')
('5♣', 'J♦')
('5♣', 'J♣')
('5♣', '⑽♠')
('5♣', '⑽♥')
('5♣', '⑽♦')
('5♣', '⑽♣')
('5♣', '9♠')
('5♣', '9♥')
('5♣', '9♦')
('5♣', '9♣')
('5♣', '8♠')
('5♣', '8♥')
('5♣', '8♦')
('5♣', '8♣')
('5♣', '7♠')
('5♣', '7♥')
('5♣', '7♦')
('5♣', '7♣')
('5♣', '6♠')
('5♣', '6♥')
('5♣', '6♦')
('5♣', '6♣')
('5♣', '5♠')
('5♣', '5♥')
('5♣', '5♦')
('5♣', '5♣')
('5♣', '4♠')
('5♣', '4♥')
('5♣', '4♦')
('5♣', '4♣')
('5♣', '3♠')
('5♣', '3♥')
('5♣', '3♦')
('5♣', '3♣')
('5♣', '2♠')
('5♣', '2♥')
('5♣', '2♦')
('5♣', '2♣')
('4♠', 'A♠')
('4♠', 'A♥')
('4♠', 'A♦')
('4♠', 'A♣')
('4♠', 'K♠')
('4♠', 'K♥')
('4♠', 'K♦')
('4♠', 'K♣')
('4♠', 'Q♠')
('4♠', 'Q♥')
('4♠', 'Q♦')
('4♠', 'Q♣')
('4♠', 'J♠')
('4♠', 'J♥')
('4♠', 'J♦')
('4♠', 'J♣')
('4♠', '⑽♠')
('4♠', '⑽♥')
('4♠', '⑽♦')
('4♠', '⑽♣')
('4♠', '9♠')
('4♠', '9♥')
('4♠', '9♦')
('4♠', '9♣')
('4♠', '8♠')
('4♠', '8♥')
('4♠', '8♦')
('4♠', '8♣')
('4♠', '7♠')
('4♠', '7♥')
('4♠', '7♦')
('4♠', '7♣')
('4♠', '6♠')
('4♠', '6♥')
('4♠', '6♦')
('4♠', '6♣')
('4♠', '5♠')
('4♠', '5♥')
('4♠', '5♦')
('4♠', '5♣')
('4♠', '4♠')
('4♠', '4♥')
('4♠', '4♦')
('4♠', '4♣')
('4♠', '3♠')
('4♠', '3♥')
('4♠', '3♦')
('4♠', '3♣')
('4♠', '2♠')
('4♠', '2♥')
('4♠', '2♦')
('4♠', '2♣')
('4♥', 'A♠')
('4♥', 'A♥')
('4♥', 'A♦')
('4♥', 'A♣')
('4♥', 'K♠')
('4♥', 'K♥')
('4♥', 'K♦')
('4♥', 'K♣')
('4♥', 'Q♠')
('4♥', 'Q♥')
('4♥', 'Q♦')
('4♥', 'Q♣')
('4♥', 'J♠')
('4♥', 'J♥')
('4♥', 'J♦')
('4♥', 'J♣')
('4♥', '⑽♠')
('4♥', '⑽♥')
('4♥', '⑽♦')
('4♥', '⑽♣')
('4♥', '9♠')
('4♥', '9♥')
('4♥', '9♦')
('4♥', '9♣')
('4♥', '8♠')
('4♥', '8♥')
('4♥', '8♦')
('4♥', '8♣')
('4♥', '7♠')
('4♥', '7♥')
('4♥', '7♦')
('4♥', '7♣')
('4♥', '6♠')
('4♥', '6♥')
('4♥', '6♦')
('4♥', '6♣')
('4♥', '5♠')
('4♥', '5♥')
('4♥', '5♦')
('4♥', '5♣')
('4♥', '4♠')
('4♥', '4♥')
('4♥', '4♦')
('4♥', '4♣')
('4♥', '3♠')
('4♥', '3♥')
('4♥', '3♦')
('4♥', '3♣')
('4♥', '2♠')
('4♥', '2♥')
('4♥', '2♦')
('4♥', '2♣')
('4♦', 'A♠')
('4♦', 'A♥')
('4♦', 'A♦')
('4♦', 'A♣')
('4♦', 'K♠')
('4♦', 'K♥')
('4♦', 'K♦')
('4♦', 'K♣')
('4♦', 'Q♠')
('4♦', 'Q♥')
('4♦', 'Q♦')
('4♦', 'Q♣')
('4♦', 'J♠')
('4♦', 'J♥')
('4♦', 'J♦')
('4♦', 'J♣')
('4♦', '⑽♠')
('4♦', '⑽♥')
('4♦', '⑽♦')
('4♦', '⑽♣')
('4♦', '9♠')
('4♦', '9♥')
('4♦', '9♦')
('4♦', '9♣')
('4♦', '8♠')
('4♦', '8♥')
('4♦', '8♦')
('4♦', '8♣')
('4♦', '7♠')
('4♦', '7♥')
('4♦', '7♦')
('4♦', '7♣')
('4♦', '6♠')
('4♦', '6♥')
('4♦', '6♦')
('4♦', '6♣')
('4♦', '5♠')
('4♦', '5♥')
('4♦', '5♦')
('4♦', '5♣')
('4♦', '4♠')
('4♦', '4♥')
('4♦', '4♦')
('4♦', '4♣')
('4♦', '3♠')
('4♦', '3♥')
('4♦', '3♦')
('4♦', '3♣')
('4♦', '2♠')
('4♦', '2♥')
('4♦', '2♦')
('4♦', '2♣')
('4♣', 'A♠')
('4♣', 'A♥')
('4♣', 'A♦')
('4♣', 'A♣')
('4♣', 'K♠')
('4♣', 'K♥')
('4♣', 'K♦')
('4♣', 'K♣')
('4♣', 'Q♠')
('4♣', 'Q♥')
('4♣', 'Q♦')
('4♣', 'Q♣')
('4♣', 'J♠')
('4♣', 'J♥')
('4♣', 'J♦')
('4♣', 'J♣')
('4♣', '⑽♠')
('4♣', '⑽♥')
('4♣', '⑽♦')
('4♣', '⑽♣')
('4♣', '9♠')
('4♣', '9♥')
('4♣', '9♦')
('4♣', '9♣')
('4♣', '8♠')
('4♣', '8♥')
('4♣', '8♦')
('4♣', '8♣')
('4♣', '7♠')
('4♣', '7♥')
('4♣', '7♦')
('4♣', '7♣')
('4♣', '6♠')
('4♣', '6♥')
('4♣', '6♦')
('4♣', '6♣')
('4♣', '5♠')
('4♣', '5♥')
('4♣', '5♦')
('4♣', '5♣')
('4♣', '4♠')
('4♣', '4♥')
('4♣', '4♦')
('4♣', '4♣')
('4♣', '3♠')
('4♣', '3♥')
('4♣', '3♦')
('4♣', '3♣')
('4♣', '2♠')
('4♣', '2♥')
('4♣', '2♦')
('4♣', '2♣')
('3♠', 'A♠')
('3♠', 'A♥')
('3♠', 'A♦')
('3♠', 'A♣')
('3♠', 'K♠')
('3♠', 'K♥')
('3♠', 'K♦')
('3♠', 'K♣')
('3♠', 'Q♠')
('3♠', 'Q♥')
('3♠', 'Q♦')
('3♠', 'Q♣')
('3♠', 'J♠')
('3♠', 'J♥')
('3♠', 'J♦')
('3♠', 'J♣')
('3♠', '⑽♠')
('3♠', '⑽♥')
('3♠', '⑽♦')
('3♠', '⑽♣')
('3♠', '9♠')
('3♠', '9♥')
('3♠', '9♦')
('3♠', '9♣')
('3♠', '8♠')
('3♠', '8♥')
('3♠', '8♦')
('3♠', '8♣')
('3♠', '7♠')
('3♠', '7♥')
('3♠', '7♦')
('3♠', '7♣')
('3♠', '6♠')
('3♠', '6♥')
('3♠', '6♦')
('3♠', '6♣')
('3♠', '5♠')
('3♠', '5♥')
('3♠', '5♦')
('3♠', '5♣')
('3♠', '4♠')
('3♠', '4♥')
('3♠', '4♦')
('3♠', '4♣')
('3♠', '3♠')
('3♠', '3♥')
('3♠', '3♦')
('3♠', '3♣')
('3♠', '2♠')
('3♠', '2♥')
('3♠', '2♦')
('3♠', '2♣')
('3♥', 'A♠')
('3♥', 'A♥')
('3♥', 'A♦')
('3♥', 'A♣')
('3♥', 'K♠')
('3♥', 'K♥')
('3♥', 'K♦')
('3♥', 'K♣')
('3♥', 'Q♠')
('3♥', 'Q♥')
('3♥', 'Q♦')
('3♥', 'Q♣')
('3♥', 'J♠')
('3♥', 'J♥')
('3♥', 'J♦')
('3♥', 'J♣')
('3♥', '⑽♠')
('3♥', '⑽♥')
('3♥', '⑽♦')
('3♥', '⑽♣')
('3♥', '9♠')
('3♥', '9♥')
('3♥', '9♦')
('3♥', '9♣')
('3♥', '8♠')
('3♥', '8♥')
('3♥', '8♦')
('3♥', '8♣')
('3♥', '7♠')
('3♥', '7♥')
('3♥', '7♦')
('3♥', '7♣')
('3♥', '6♠')
('3♥', '6♥')
('3♥', '6♦')
('3♥', '6♣')
('3♥', '5♠')
('3♥', '5♥')
('3♥', '5♦')
('3♥', '5♣')
('3♥', '4♠')
('3♥', '4♥')
('3♥', '4♦')
('3♥', '4♣')
('3♥', '3♠')
('3♥', '3♥')
('3♥', '3♦')
('3♥', '3♣')
('3♥', '2♠')
('3♥', '2♥')
('3♥', '2♦')
('3♥', '2♣')
('3♦', 'A♠')
('3♦', 'A♥')
('3♦', 'A♦')
('3♦', 'A♣')
('3♦', 'K♠')
('3♦', 'K♥')
('3♦', 'K♦')
('3♦', 'K♣')
('3♦', 'Q♠')
('3♦', 'Q♥')
('3♦', 'Q♦')
('3♦', 'Q♣')
('3♦', 'J♠')
('3♦', 'J♥')
('3♦', 'J♦')
('3♦', 'J♣')
('3♦', '⑽♠')
('3♦', '⑽♥')
('3♦', '⑽♦')
('3♦', '⑽♣')
('3♦', '9♠')
('3♦', '9♥')
('3♦', '9♦')
('3♦', '9♣')
('3♦', '8♠')
('3♦', '8♥')
('3♦', '8♦')
('3♦', '8♣')
('3♦', '7♠')
('3♦', '7♥')
('3♦', '7♦')
('3♦', '7♣')
('3♦', '6♠')
('3♦', '6♥')
('3♦', '6♦')
('3♦', '6♣')
('3♦', '5♠')
('3♦', '5♥')
('3♦', '5♦')
('3♦', '5♣')
('3♦', '4♠')
('3♦', '4♥')
('3♦', '4♦')
('3♦', '4♣')
('3♦', '3♠')
('3♦', '3♥')
('3♦', '3♦')
('3♦', '3♣')
('3♦', '2♠')
('3♦', '2♥')
('3♦', '2♦')
('3♦', '2♣')
('3♣', 'A♠')
('3♣', 'A♥')
('3♣', 'A♦')
('3♣', 'A♣')
('3♣', 'K♠')
('3♣', 'K♥')
('3♣', 'K♦')
('3♣', 'K♣')
('3♣', 'Q♠')
('3♣', 'Q♥')
('3♣', 'Q♦')
('3♣', 'Q♣')
('3♣', 'J♠')
('3♣', 'J♥')
('3♣', 'J♦')
('3♣', 'J♣')
('3♣', '⑽♠')
('3♣', '⑽♥')
('3♣', '⑽♦')
('3♣', '⑽♣')
('3♣', '9♠')
('3♣', '9♥')
('3♣', '9♦')
('3♣', '9♣')
('3♣', '8♠')
('3♣', '8♥')
('3♣', '8♦')
('3♣', '8♣')
('3♣', '7♠')
('3♣', '7♥')
('3♣', '7♦')
('3♣', '7♣')
('3♣', '6♠')
('3♣', '6♥')
('3♣', '6♦')
('3♣', '6♣')
('3♣', '5♠')
('3♣', '5♥')
('3♣', '5♦')
('3♣', '5♣')
('3♣', '4♠')
('3♣', '4♥')
('3♣', '4♦')
('3♣', '4♣')
('3♣', '3♠')
('3♣', '3♥')
('3♣', '3♦')
('3♣', '3♣')
('3♣', '2♠')
('3♣', '2♥')
('3♣', '2♦')
('3♣', '2♣')
('2♠', 'A♠')
('2♠', 'A♥')
('2♠', 'A♦')
('2♠', 'A♣')
('2♠', 'K♠')
('2♠', 'K♥')
('2♠', 'K♦')
('2♠', 'K♣')
('2♠', 'Q♠')
('2♠', 'Q♥')
('2♠', 'Q♦')
('2♠', 'Q♣')
('2♠', 'J♠')
('2♠', 'J♥')
('2♠', 'J♦')
('2♠', 'J♣')
('2♠', '⑽♠')
('2♠', '⑽♥')
('2♠', '⑽♦')
('2♠', '⑽♣')
('2♠', '9♠')
('2♠', '9♥')
('2♠', '9♦')
('2♠', '9♣')
('2♠', '8♠')
('2♠', '8♥')
('2♠', '8♦')
('2♠', '8♣')
('2♠', '7♠')
('2♠', '7♥')
('2♠', '7♦')
('2♠', '7♣')
('2♠', '6♠')
('2♠', '6♥')
('2♠', '6♦')
('2♠', '6♣')
('2♠', '5♠')
('2♠', '5♥')
('2♠', '5♦')
('2♠', '5♣')
('2♠', '4♠')
('2♠', '4♥')
('2♠', '4♦')
('2♠', '4♣')
('2♠', '3♠')
('2♠', '3♥')
('2♠', '3♦')
('2♠', '3♣')
('2♠', '2♠')
('2♠', '2♥')
('2♠', '2♦')
('2♠', '2♣')
('2♥', 'A♠')
('2♥', 'A♥')
('2♥', 'A♦')
('2♥', 'A♣')
('2♥', 'K♠')
('2♥', 'K♥')
('2♥', 'K♦')
('2♥', 'K♣')
('2♥', 'Q♠')
('2♥', 'Q♥')
('2♥', 'Q♦')
('2♥', 'Q♣')
('2♥', 'J♠')
('2♥', 'J♥')
('2♥', 'J♦')
('2♥', 'J♣')
('2♥', '⑽♠')
('2♥', '⑽♥')
('2♥', '⑽♦')
('2♥', '⑽♣')
('2♥', '9♠')
('2♥', '9♥')
('2♥', '9♦')
('2♥', '9♣')
('2♥', '8♠')
('2♥', '8♥')
('2♥', '8♦')
('2♥', '8♣')
('2♥', '7♠')
('2♥', '7♥')
('2♥', '7♦')
('2♥', '7♣')
('2♥', '6♠')
('2♥', '6♥')
('2♥', '6♦')
('2♥', '6♣')
('2♥', '5♠')
('2♥', '5♥')
('2♥', '5♦')
('2♥', '5♣')
('2♥', '4♠')
('2♥', '4♥')
('2♥', '4♦')
('2♥', '4♣')
('2♥', '3♠')
('2♥', '3♥')
('2♥', '3♦')
('2♥', '3♣')
('2♥', '2♠')
('2♥', '2♥')
('2♥', '2♦')
('2♥', '2♣')
('2♦', 'A♠')
('2♦', 'A♥')
('2♦', 'A♦')
('2♦', 'A♣')
('2♦', 'K♠')
('2♦', 'K♥')
('2♦', 'K♦')
('2♦', 'K♣')
('2♦', 'Q♠')
('2♦', 'Q♥')
('2♦', 'Q♦')
('2♦', 'Q♣')
('2♦', 'J♠')
('2♦', 'J♥')
('2♦', 'J♦')
('2♦', 'J♣')
('2♦', '⑽♠')
('2♦', '⑽♥')
('2♦', '⑽♦')
('2♦', '⑽♣')
('2♦', '9♠')
('2♦', '9♥')
('2♦', '9♦')
('2♦', '9♣')
('2♦', '8♠')
('2♦', '8♥')
('2♦', '8♦')
('2♦', '8♣')
('2♦', '7♠')
('2♦', '7♥')
('2♦', '7♦')
('2♦', '7♣')
('2♦', '6♠')
('2♦', '6♥')
('2♦', '6♦')
('2♦', '6♣')
('2♦', '5♠')
('2♦', '5♥')
('2♦', '5♦')
('2♦', '5♣')
('2♦', '4♠')
('2♦', '4♥')
('2♦', '4♦')
('2♦', '4♣')
('2♦', '3♠')
('2♦', '3♥')
('2♦', '3♦')
('2♦', '3♣')
('2♦', '2♠')
('2♦', '2♥')
('2♦', '2♦')
('2♦', '2♣')
('2♣', 'A♠')
('2♣', 'A♥')
('2♣', 'A♦')
('2♣', 'A♣')
('2♣', 'K♠')
('2♣', 'K♥')
('2♣', 'K♦')
('2♣', 'K♣')
('2♣', 'Q♠')
('2♣', 'Q♥')
('2♣', 'Q♦')
('2♣', 'Q♣')
('2♣', 'J♠')
('2♣', 'J♥')
('2♣', 'J♦')
('2♣', 'J♣')
('2♣', '⑽♠')
('2♣', '⑽♥')
('2♣', '⑽♦')
('2♣', '⑽♣')
('2♣', '9♠')
('2♣', '9♥')
('2♣', '9♦')
('2♣', '9♣')
('2♣', '8♠')
('2♣', '8♥')
('2♣', '8♦')
('2♣', '8♣')
('2♣', '7♠')
('2♣', '7♥')
('2♣', '7♦')
('2♣', '7♣')
('2♣', '6♠')
('2♣', '6♥')
('2♣', '6♦')
('2♣', '6♣')
('2♣', '5♠')
('2♣', '5♥')
('2♣', '5♦')
('2♣', '5♣')
('2♣', '4♠')
('2♣', '4♥')
('2♣', '4♦')
('2♣', '4♣')
('2♣', '3♠')
('2♣', '3♥')
('2♣', '3♦')
('2♣', '3♣')
('2♣', '2♠')
('2♣', '2♥')
('2♣', '2♦')
('2♣', '2♣')
it1 = card_generator(ranks, suits)
it2 = card_generator(ranks, suits)
ilen(product2(it1, it2))
2704
Now let’s take it up a notch. What if you want the product of more than two iterators.
The version of product we got from itertools can handle this case.
import itertools
for pair in itertools.product(range(2), range(3), range(4)):
print(pair)
(0, 0, 0)
(0, 0, 1)
(0, 0, 2)
(0, 0, 3)
(0, 1, 0)
(0, 1, 1)
(0, 1, 2)
(0, 1, 3)
(0, 2, 0)
(0, 2, 1)
(0, 2, 2)
(0, 2, 3)
(1, 0, 0)
(1, 0, 1)
(1, 0, 2)
(1, 0, 3)
(1, 1, 0)
(1, 1, 1)
(1, 1, 2)
(1, 1, 3)
(1, 2, 0)
(1, 2, 1)
(1, 2, 2)
(1, 2, 3)
Exercise: Write a generator function that takes an arbitrary number of iterables and yields their Cartesian product. Compare the results to itertools.product.
Hint: I found it easiest to write this recursively.