euler/054/poker.py
Correl Roush 987dc151cf Completed smart hand building, passes all 7 card tests now :)
git-svn-id: file:///srv/svn/euler@12 e5f4c3ec-3c0c-11df-b522-21efaa4426b5
2010-04-01 03:44:03 +00:00

251 lines
No EOL
9.1 KiB
Python

import operator
class InvalidCard(Exception):
pass
class InvalidHand(Exception):
pass
def unique_combinations(items, n):
if n==0: yield []
else:
for i in xrange(len(items)):
for cc in unique_combinations(items[i+1:],n-1):
yield [items[i]]+cc
class Card:
VALUES = {'T': 10, 'J': 11, 'Q': 12, 'K': 13, 'A': 14}
SUITS = {'Hearts': 'H', 'Diamonds': 'D', 'Clubs': 'C', 'Spades': 'S'}
def __init__(self, string):
self.value = string[0]
if self.value in '23456789':
self.value = int(self.value)
else:
try:
self.value = Card.VALUES[self.value]
except KeyError as e:
raise InvalidCard('Invalid value: {0}'.format(string))
self.suit = string[1]
if not self.suit in Card.SUITS.values():
raise InvalidCard('Invalid suit: {0}'.format(string))
def __cmp__(self, other):
return cmp(self.value, other.value)
def __repr__(self):
val = self.value
for k, v in Card.VALUES.iteritems():
if self.value == v:
val = k
return str.format('{0}{1}', val, self.suit)
class Hand:
HIGH_CARD = 0
ONE_PAIR = 1
TWO_PAIRS = 2
THREE_OF_A_KIND = 3
STRAIGHT = 4
FLUSH = 5
FULL_HOUSE = 6
FOUR_OF_A_KIND = 7
STRAIGHT_FLUSH = 8
ROYAL_FLUSH = 9
RANKS = [
'High Card',
'One Pair',
'Two Pairs',
'Three of a Kind',
'Straight',
'Flush',
'Full House',
'Four of a Kind',
'Straight Flush',
'Royal Flush'
]
def __init__(self, cards):
if len(cards) != 5:
raise InvalidHand(cards)
self.__rank = None
self.__cards = sorted([Card(c) for c in cards], reverse=True)
self.__values = []
self.rank()
def __repr__(self):
return str.format("Cards: {0} Rank: '{1}' Values: {2}",
[str(c.value) + c.suit for c in self.__cards],
Hand.RANKS[self.rank()],
self.values())
def rank(self):
if self.__rank:
return self.__rank
flush = True
straight = False
last = None
merged = {}
for c in self.__cards:
if last:
if flush and c.suit != last.suit:
flush = False
last = c
if c.value in merged:
merged[c.value] = merged[c.value] + 1
else:
merged[c.value] = 1
if (len(merged)) == 5:
# All unique cards, check for a straight
if self.__cards[0].value - self.__cards[4].value == 4:
straight = True
if self.__cards[4].value == 2 and self.__cards[1].value == 5 and self.__cards[0].value == 14:
straight = True
# Set the value of the ace to 1 and resort so hand comparisons work correctly
self.__cards[0].value = 1
self.__cards = sorted(self.__cards, reverse=True)
if straight and flush:
if self.__cards[0].value == 14:
self.__rank = Hand.ROYAL_FLUSH
else:
self.__rank = Hand.STRAIGHT_FLUSH
elif flush:
self.__rank = Hand.FLUSH
elif straight:
self.__rank = Hand.STRAIGHT
else:
self.__rank = Hand.HIGH_CARD
self.__values = [c.value for c in self.__cards]
else:
multiples = [m for m in sorted(merged.items(), key = operator.itemgetter(1), reverse = True) if m[1] > 1]
if len(multiples) > 1:
if multiples[0][1] == multiples[1][1]:
self.__rank = Hand.TWO_PAIRS
else:
self.__rank = Hand.FULL_HOUSE
else:
if multiples[0][1] > 3:
self.__rank = Hand.FOUR_OF_A_KIND
elif multiples[0][1] == 3:
self.__rank = Hand.THREE_OF_A_KIND
else:
self.__rank = Hand.ONE_PAIR
mvalues = [m[0] for m in multiples]
self.__values = mvalues + [c.value for c in self.__cards if c.value not in mvalues]
return self.__rank
def values(self):
if not self.__values:
self.rank()
return self.__values
@staticmethod
def create_best_hand(cards):
if len(cards) == 5:
return Hand(cards)
elif len(cards) < 5:
raise InvalidHand
else:
return Hand.create_best_hand_smart(cards)
return false
@staticmethod
def create_best_hand_bruteforce(cards):
combos = unique_combinations(cards, 5)
hands = [Hand(combo) for combo in combos]
hands = sorted(hands, reverse=True)
return hands[0]
@staticmethod
def create_best_hand_smart(cards):
"""
TODO: Implement the following logic (or something better):
* Find all flushes
* Find all straights
** Return best hand present in both flushes and straights, if applicable
* Find all sets
** Return best quads with top remaining card
** Find and return best full house
** Find and return best three of a kind with top remaining cards
** Find and return best two pair with top remaining cards
** Find and return best single pair with top remaining cards
** Return top 5 cards
"""
cards = sorted([Card(c) for c in cards], reverse=True)
# Get all flushes
flushes = []
for suit in Card.SUITS.values():
suited = [str(c) for c in cards if c.suit == suit]
if len(suited) >= 5:
combos = unique_combinations(suited, 5)
for combo in combos: flushes.append(Hand(combo))
flushes = sorted(flushes, reverse=True)
if (flushes and flushes[0].rank() >= Hand.STRAIGHT_FLUSH):
# Straight flush! No need to check anything else
return flushes[0]
#Get all sets
merged = {}
for c in cards:
if c.value in merged:
merged[c.value] = merged[c.value] + 1
else:
merged[c.value] = 1
multiples = [m for m in sorted(merged.items(), key = operator.itemgetter(1), reverse = True) if m[1] > 1]
quads = [c[0] for c in multiples if c[1] == 4]
quads = [c for c in cards if c.value in quads]
trips = [c[0] for c in multiples if c[1] == 3]
trips = [c for c in cards if c.value in trips]
pairs = [c[0] for c in multiples if c[1] == 2]
pairs = [c for c in cards if c.value in pairs]
remaining = [c for c in cards if c.value not in [m[0] for m in multiples]]
if quads:
h = quads[:4]
remaining = [c for c in cards if c.value not in [cc.value for cc in h]][:1]
for r in remaining: h.append(r)
return Hand([str(c) for c in h])
if trips and pairs:
# Get a full house together
h = trips[:3]
remaining = pairs[:2]
for r in remaining: h.append(r)
return Hand([str(c) for c in h])
if flushes:
# We've already got a flush, return it!
return flushes[0]
# Look for a straight!
mvals = sorted(merged.keys(), reverse=True)
for i in range(0, len(mvals) -4, 1):
if (mvals[i] - mvals[i + 4]) == 4:
# Regular straight
h = [[c for c in cards if c.value == v][0] for v in mvals[i:i + 5]]
return Hand([str(c) for c in h])
elif 14 in [c.value for c in cards] and mvals[i + 1] == 5 and mvals[i + 4] == 2:
# Ace low straight
h = [[c for c in cards if c.value == v][0] for v in mvals[i + 1:i + 5]]
h.append([c for c in cards if c.value == 14][0])
return Hand([str(c) for c in h])
if trips:
h = trips[:3]
remaining = [c for c in cards if c.value not in [cc.value for cc in h]][:2]
for r in remaining: h.append(r)
return Hand([str(c) for c in h])
if pairs:
if len(pairs) > 2:
h = pairs[:4]
remaining = [c for c in cards if c.value not in [cc.value for cc in h]][:1]
for r in remaining: h.append(r)
return Hand([str(c) for c in h])
else:
h = pairs
remaining = [c for c in cards if c.value not in [cc.value for cc in h]][:3]
for r in remaining: h.append(r)
return Hand([str(c) for c in h])
# High card, send the top 5 reverse-sorted cards
return Hand([str(c) for c in cards[:5]])
def __cmp__(self, other):
# Compare hand rankings
result = cmp(self.rank(), other.rank())
if (result == 0):
# Compare hand values
for i in range(len(self.values())):
result = cmp(self.values()[i], other.values()[i])
if (result != 0):
return result
return result