#!/usr/bin/env python3 """ Created on 27 Sep 2021 @author: David Doblas Jiménez @email: daviddoji@pm.me Solution for problem 54 of Project Euler https://projecteuler.net/problem=54 """ from pathlib import Path from utils import timeit @timeit("Problem 54") def compute(): """ In the card game poker, a hand consists of five cards and are ranked, from lowest to highest, in the following way: High Card: Highest value card. One Pair: Two cards of the same value. Two Pairs: Two different pairs. Three of a Kind: Three cards of the same value. Straight: All cards are consecutive values. Flush: All cards of the same suit. Full House: Three of a kind and a pair. Four of a Kind: Four cards of the same value. Straight Flush: All cards are consecutive values of same suit. Royal Flush: Ten, Jack, Queen, King, Ace, in same suit. The cards are valued in the order: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King, Ace. If two players have the same ranked hands then the rank made up of the highest value wins; for example, a pair of eights beats a pair of fives (see example 1 below). But if two ranks tie, for example, both players have a pair of queens, then highest cards in each hand are compared (see example 4 below); if the highest cards tie then the next highest cards are compared, and so on. Consider the following five hands dealt to two players: Hand Player 1 Player 2 Winner 1 5H 5C 6S 7S KD 2C 3S 8S 8D TD Player 2 Pair of Fives Pair of Eights 2 5D 8C 9S JS AC 2C 5C 7D 8S QH Player 1 Highest card Ace Highest card Queen 3 2D 9C AS AH AC 3D 6D 7D TD QD Player 2 Three Aces Flush with Diamonds 4 4D 6S 9H QH QC 3D 6D 7H QD QS Player 1 Pair of Queens Pair of Queens Highest card Nine Highest card Seven 5 2H 2D 4C 4D 4S 3C 3D 3S 9S 9D Player 1 Full House Full House With Three Fours with Three Threes The file, poker.txt, contains one-thousand random hands dealt to two players. Each line of the file contains ten cards (separated by a single space): the first five are Player 1's cards and the last five are Player 2's cards. You can assume that all hands are valid (no invalid characters or repeated cards), each player's hand is in no specific order, and in each hand there is a clear winner. How many hands does Player 1 win? """ # 3 help functions. def replace_values_in_string(text: str, args_dict: dict) -> str: for k, v in args_dict.items(): text = text.replace(k, str(v)) return text def n_of_a_kind(hand: list, n: int) -> int: return max([x for x in hand if hand.count(x) == n] or [0]) def to_numerical(hand: list) -> list: return sorted([int(x[:-1]) for x in hand], reverse=True) # 10 Ranks functions. def high_card(str_hand: list) -> list: return to_numerical(str_hand) def one_pair(hand: list) -> int: return n_of_a_kind(hand, 2) def two_pair(hand: list) -> int: pairs = set([x for x in hand if hand.count(x) == 2]) return 0 if len(pairs) < 2 else max(pairs) def three_of_a_kind(hand: list) -> int: return n_of_a_kind(hand, 3) def straight(hand: list) -> int: return 0 if not list(range(hand[0], hand[-1]-1, -1)) == hand else max(hand) def flush(str_hand: list) -> bool: return len(set([x[-1] for x in str_hand])) == 1 def full_house(hand: list) -> int: return three_of_a_kind(hand) if one_pair(hand) and three_of_a_kind(hand) else 0 def four_of_a_kind(hand: list) -> int: return n_of_a_kind(hand, 4) def straight_flush(str_hand: list) -> int: straight_result = straight(to_numerical(str_hand)) return straight_result if straight_result and flush(str_hand) else 0 def royal_flush(str_hand: list) -> bool: return flush(str_hand) and list(range(14, 9, -1)) == to_numerical(str_hand) replace_map = {"T": 10, "J": 11, "Q": 12, "K": 13, "A": 14} score = [0, 0] file = Path("/datos/Scripts/Gitea/Project_Euler/src/files/Problem54.txt") for line in open(file, "r").read().splitlines(): line = replace_values_in_string(line, replace_map).split() hands = line[:5], line[5:] for rank in (royal_flush, straight_flush, four_of_a_kind, full_house, flush, straight, three_of_a_kind, two_pair, one_pair, high_card): should_convert_hand = "str" not in rank.__code__.co_varnames[0] # Checks parameter name. result = [rank(to_numerical(hand) if should_convert_hand else hand) for hand in hands] if result[0] != result[1]: score[0 if result[0] > result[1] else 1] += 1 break return score[0] if __name__ == "__main__": print(f"Result for Problem {int(54):003d}: {compute()}")