flops.py

from itertools import product, combinations, permuatations

ranks = 'AKQJT98765432'
suits = 'abcd'


def high_flops():
    # the order of the cards is relevant here
    # suit a will be suit of leftmost card.
    # suit b is first different suit encountered left to right.
    for x,y,z in combinations(ranks,3):
        yield  4, (x+'a', y+'a', z+'a') # 0 0 0
        yield 12, (x+'a', y+'a', z+'b') # 0 0 1
        yield 12, (x+'a', y+'b', z+'a') # 0 1 0
        yield 12, (x+'a', y+'b', z+'b') # 0 1 1
        yield 24, (x+'a', y+'b', z+'c') # 0 1 2
        
def pair_flops():
    for pair,side in permutations(ranks,2):
        # 12 patterns for suits (order matters because one suit is matched)
        yield  12, (pair+'a', pair+'b', side+'a')
        # 6 pattens of suits for the pair (order irrelevant) * 2 other suits
        yield 24, (pair+'a', pair+'b', side+'c')

def trip_flops():
    # order of suits is irrelevant. 4=3!4
    for r in ranks:
        yield 4, tuple(r+s for s in 'abc')

def flops():
    yield from high_flops()
    yield from pair_flops()
    yield from trip_flops()


count = 0
for dupes, flop in flops():
    count += dupes
    print('{0:3d} {1}'.format(dupes, flop))
print('# 3!52 = 22100 possible flops')
print('counted: %s flops' % count)
print(22100-count, ' unaccounted for')