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33 changes: 32 additions & 1 deletion graphs/possible_bipartition.py
Original file line number Diff line number Diff line change
Expand Up @@ -8,5 +8,36 @@ def possible_bipartition(dislikes):
Time Complexity: ?
Space Complexity: ?
"""
pass
if not dislikes:
return True

dog_group = {dog: 0 for dog in dislikes}
dog_list = [dog for dog in dislikes]
first_dog = list(dislikes.keys())[0]
q = [first_dog]

for dog in dog_group:
while q:
current = q.pop(0)
dog_list.remove(current)

for dog in dislikes[current]:
if dog_group[dog] == 0:
if dog in dog_list:
q.append(dog)

if dog_group[current] == 1:
dog_group[dog] = 2
else:
dog_group[dog] = 1


elif dog_group[dog] == dog_group[current]:
return False

if dog_list:
q.append(dog_list[0])
else:
return True