Seongbeom Park 6269b9b896 memoization and early termination
Verifying solution...
Test 1 passed!
Test 2 passed!
Test 3 failed  [Hidden]
Test 4 passed! [Hidden]
Test 5 failed  [Hidden]
2022-04-24 05:48:40 +09:00

51 lines
1.5 KiB
Python

def solution(banana_list):
fewest_possible_number = len(banana_list)
memo = {}
for pairs in generate_trainer_pairs(list(range(len(banana_list)))):
possible_number = len(banana_list)
for i, j in pairs:
if check_loop(banana_list[i], banana_list[j], memo):
possible_number -= 2
if possible_number < fewest_possible_number:
fewest_possible_number = possible_number
if fewest_possible_number < 2: # early termination
break
return fewest_possible_number
import copy
def generate_trainer_pairs(trainer_id_list):
if len(trainer_id_list) < 2:
yield []
else:
first_id = trainer_id_list[0]
for second_id in trainer_id_list[1:]:
reduced_list = copy.deepcopy(trainer_id_list)
seduced_list.remove(first_id)
reduced_list.remove(second_id)
for pairs in generate_trainer_pairs(reduced_list):
yield [(first_id, second_id)] + pairs
def check_loop(a, b, memo):
if (a, b) in memo:
return memo[(a, b)]
while a != b:
if (a + b) % 2 == 1: # sum is odd
memo[(a, b)] = True
return True
if a > b:
a, b = (a - b)/2, b
else:
a, b = a, (b - a)/2
memo[(a, b)] = False
return False
tests = [
([1], 1),
([1, 1], 2),
([1, 7, 3, 21, 13, 19], 0),
]
for i, o in tests:
result = solution(i)
print(i, result == o, result, o)