from itertools import combinations
# Define the cards with their attributes
cards = [
"O2RS", # Card 1
"O1PH", # Card 2
"O2GS", # Card 3
"S1GO", # Card 4
"D3GH", # Card 5
"S2RS", # Card 6
"D3GO", # Card 7
"S3GO", # Card 8
"D3RH", # Card 9
"O1PO", # Card 10
"O2RH", # Card 11
"O3GS" # Card 12
]
# Function to check if three cards form a Set
def is_set(cards):
# Check each attribute
for i in range(4):
# If all are the same or all are different
if len(set(card[i] for card in cards)) not in [1, 3]:
return False
return True
# Find all possible Sets
sets = [
(i+1, j+1, k+1) for (i, j, k) in combinations(range(len(cards)), 3)
if is_set([cards[i], cards[j], cards[k]])
]
sets
[(2, 6, 7), (3, 4, 5), (5, 6, 10), (5, 8, 12), (10, 11, 12)]
To identify all possible Sets in the given layout, we need to check combinations of three cards and verify if they satisfy the Set game rules for each attribute:
Let’s analyze the cards and find all possible Sets.The possible Sets from the given layout are:
These combinations satisfy the condition that for each attribute, the cards must all have the same attribute or all different attributes.