This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
def split_array_helper(nums, index, sum1, sum2, arr1, arr2, cache):
size = len(nums)
if index == size:
return sum1 == sum2
key = tuple(arr1), tuple(arr2)
if key in cache:
return cache[key]
arr1.append(nums[index])
if split_array_helper(nums, index + 1, sum1 + nums[index], sum2, arr1, arr2, cache):
cache[key] = True
return True
arr1.pop()
arr2.append(nums[index])
if split_array_helper(nums, index + 1, sum1, sum2 + nums[index], arr1, arr2, cache):
cache[key] = True
return True
arr2.pop()
cache[key] = False
return False
def split_array(nums, arr1, arr2, cache):
sum1, sum2 = 0, 0
return split_array_helper(nums, 0, sum1, sum2, arr1, arr2, cache)
n = int(input())
arr = list(map(int, input().split()))
arr2, arr3 = [], []
res = []
total_sum = sum(arr)
cache = {} # Cache for split_array function results
for i in range(1, total_sum + 1):
ruined = False
size = len(arr)
if size > n:
arr.pop()
arr.append(i)
to_delete = set(arr)
for k in range(n + 1):
if arr[k] in to_delete:
continue
arr2.append(arr[k])
if not split_array(arr, arr2, arr3, cache):
ruined = True
break
arr2.pop()
if not ruined:
res.append(i)
print(len(res))
if res:
print(" ".join(map(str, res)))
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