Statistics

Problem Statement for "BorelSets"

Problem Statement

*** You may only submit a given problem once - no resubmissions will be accepted. ***

Suppose there is a universal set called U containing the integers between 1 and size inclusive. You will be given some subsets of U. A subset of U is a set of numbers that are in U. The set can contain no numbers (empty set), every number in U, or anything in between. Each subset will be given as a String containing a single space-delimited list of the numbers in the set. The Borel Field B (also called sigma-algebra) generated by subsets is the smallest collection of sets satisfying the following statements:
  • 1) All of the sets in subsets are in B,
  • 2) if X and Y are sets in B then X union Y is in B,
  • 3) if X is a set in B then the complement of X is in B.
Given two sets of numbers, the union is the set of all numbers that are in either or both. The complement of a set X contains all numbers that are in U but not in X (if U=X the complement of X is empty). Given subsets you will return how many distinct sets are in the Borel Field it generates. When comparing sets to see if they are distinct, note that duplicate elements within a set are ignored. In other words, a set does not have any duplicates, but a description of the set may. For example, the sets "1 1 2", "1 2", and "2 2 1" are indistinguishable as sets, but "1 2 3" is distinct from the previous three.

Definition

Class:
BorelSets
Method:
howMany
Parameters:
int, String[]
Returns:
int
Method signature:
int howMany(int size, String[] subsets)
(be sure your method is public)

Constraints

  • size will be between 1 and 10 inclusive.
  • subsets will contain between 1 and 50 elements inclusive.
  • Each element of subsets will contain between 0 and 50 characters inclusive.
  • Each element of subsets will either be an empty string, or a single space-delimited list of integers. Each integer in the list will be between 1 and size inclusive, and will have no leading zeros.
  • Each element of subsets will not have any leading or trailing spaces.

Examples

  1. 4

    {"1 2",""}

    Returns: 4

    We have that U = "1 2 3 4". We know "1 2", and "" are in the resultant Borel Field. By taking the complement of "1 2" we get "3 4". By taking the complement of "" we get "1 2 3 4". There are no other sets in the Borel Field.

  2. 5

    {"1 2","1 3"}

    Returns: 16

  3. 10

    {"","1 3 5 7 9","1 6","4 4"}

    Returns: 32

  4. 10

    {"1","2","3","4","5","1 7","1 9"}

    Returns: 256

  5. 10

    {"","1","2","3","4","5","6","7","8","9","10"}

    Returns: 1024

  6. 5

    {"","1 1 2","1 1 2 2 1 1","","2 1 1"}

    Returns: 4

  7. 10

    {"1 2","2 3","3 1","1 2 3"}

    Returns: 16

  8. 10

    {"1","1","1","1","1","1","1","1","1","1", "1","1","1","1","1","1","1","1","1","1", "1","1","1","1","1","1","1","1","1","1", "1","1","1","1","1","1","1","1","1","1", "1","1","1","1","1","1","1","1","1","1"}

    Returns: 4

  9. 10

    {"","","","","","","","","","", "","","","","","","","","","", "","","","","","","","","","", "","","","","","","","","","", "","","","","","","","","",""}

    Returns: 2

  10. 10

    {"7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7"}

    Returns: 4

  11. 10

    {"5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7"}

    Returns: 8

  12. 10

    {"","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1"}

    Returns: 16

  13. 10

    {"10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10"}

    Returns: 4

  14. 10

    {"9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10"}

    Returns: 16

  15. 10

    {"2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8"}

    Returns: 16

  16. 10

    {"3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3","9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5"}

    Returns: 16

  17. 10

    {"5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4"}

    Returns: 8

  18. 10

    {"1 1 1 7 1 1 3 1 6 1 3 6 7 7 1 1 3 7 7 1 3 3 6 3 7"}

    Returns: 4

  19. 10

    {"5 10 6 4 5 4 5 5 5 6 7 7 6 4 5 5 5 10 7 5 5 10 4","8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8"}

    Returns: 8

  20. 10

    {"9 9 9 8 9 8 9 9 9 8 9 9 9 9 9 8 9 8 9 9 9 9 9 9 9"}

    Returns: 4

  21. 10

    {"7 7 8 7 8 8 7 7 7 7 7 7 8 7 7 8 7 7 7 8 8 8 8 8 7",""}

    Returns: 4

  22. 10

    {"1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","6 10 7 1 1 6 10 1 10 1 1 1 7 1 2 7 7 1 7 1 1 6 6","4 4 4 4 4 3 4 3 3 4 3 3 4 3 4 4 3 3 3 4 4 4 4 4 3","6 6 10 6 6 10 10 6 6 6 6 6 10 6 6 10 10 6 10 6 10"}

    Returns: 32

  23. 10

    {"6 3 9 2 10 9 2 9 3 10 6 3 7 3 9 9 7 3 9 2 3 3 9 7","3 3 3 8 8 4 10 9 3 2 9 8 3 3 8 10 9 3 10 9 9 2 8"}

    Returns: 16

  24. 10

    {"","2 10 2 2 8 8 2 8 8 10 10 2 2 8 2 8 2 5 2 5 2 5 2","","6 9 6 10 5 10 9 4 5 1 10 9 5 1 1 1 9 9 4 9 6 1 5","5 9 9 9 9 9 5 5 9 5 9 5 5 5 9 5 9 9 5 9 9 5 9 5 9"}

    Returns: 64

  25. 10

    {"8 7 9 7 7 3 7 3 7 7 3 7 9 8 9 9 8 9 7 3 9 7 3 7 7","6 6 7 7 9 9 7 7 7 6 6 6 9 7 9 6 7 7 9 7 6 6 7 9 7"}

    Returns: 16

  26. 10

    {"7 8 9 5 7 7 9 5 9 7 5 5 5 5 7 5 5 9 9 8 9 9 5 7 5","7 3 5 7 2 1 3 5 1 1 7 1 1 5 1 5 2 7 5 2 7 7 1 5 1","10 10 10 10 10 10 5 10 5 5 5 10 5 5 10 10 5 10 5","1 1 4 1 4 1 4 8 9 1 4 3 4 1 1 9 9 1 1 1 1 9 4 1 1","10 6 10 5 9 9 9 6 10 9 10 10 6 10 10 9 10 10 10 6","1 5 1 10 5 5 10 5 10 1 1 10 5 10 1 10 1 10 1 5 10","8 8 5 10 5 10 8 10 5 10 10 8 8 8 5 8 10 5 8 5 5 5","4 4 4 4 2 4 4 3 2 2 2 4 2 4 8 8 4 8 4 2 3 3 3 8 4","8 8 2 6 7 1 6 2 2 8 1 1 1 1 2 2 2 6 6 2 6 6 2 1 2","6 10 10 6 6 10 10 10 10 10 10 6 10 6 10 6 10 6 10","1 2 8 2 2 2 2 5 5 2 1 1 2 8 2 2 2 1 2 5 2 2 2 2 2","3 3 3 4 3 4 5 4 5 3 3 4 3 5 3 3 4 5 4 3 3 5 3 5 3","10 10 1 1 10 1 2 1 1 1 10 9 1 1 10 9 10 2 9 10 2","4 4 6 6 8 10 8 10 8 6 2 8 8 4 4 2 8 2 8 4 6 8 8 4","7 7 10 10 9 10 8 7 4 1 7 1 9 10 10 10 4 8 4 10 4","10 3 10 10 10 3 3 3 3 10 10 10 3 3 10 10 10 3 3 3","","8 5 9 9 5 5 8 8 5 8 9 9 9 9 9 5 9 8 9 9 8 5 9 8 5","6 2 2 10 5 7 2 6 8 3 10 10 6 5 1 10 5 3 3 10 10 5","9 9 10 7 4 10 3 3 4 7 9 10 10 4 7 9 7 7 7 7 7 7 4","","6 9 4 6 9 4 4 9 6 7 7 7 8 8 4 9 7 7 7 9 4 4 7 4 4","7 7 10 10 9 10 7 9 3 3 9 3 10 3 9 9 9 9 10 9 7 9","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10","1 2 1 9 9 2 1 2 9 9 9 9 2 9 9 1 2 1 2 2 9 9 9 9 9","10 1 5 3 5 3 5 5 6 10 6 5 1 5 5 6 9 5 10 1 3 5 5","4 7 7 4 10 6 7 10 4 4 7 2 2 4 6 9 6 6 10 9 6 7 6","5 2 2 7 2 5 2 7 2 2 5 9 5 2 9 9 9 2 7 9 7 5 5 5 5","9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","10 9 9 10 10 2 5 10 5 9 5 9 10 2 1 9 5 2 9 9 10 9","8 8 7 7 8 7 7 7 4 8 8 2 8 7 7 4 8 7 8 4 2 7 2 7 7","","","8 5 1 7 8 5 8 8 5 8 1 8 8 8 8 1 7 8 7 8 7 8 1 8 8","10 1 10 1 1 1 1 1 10 10 1 1 10 1 1 1 10 10 10 1 1","4 4 4 8 8 4 6 4 6 5 8 4 6 8 6 4 5 8 4 5 4 6 8 6 8","3 6 3 3 6 6 3 3 3 3 3 3 6 3 6 6 3 3 6 3 3 3 6 3 3","2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","2 2 2 2 8 2 8 2 2 2 2 2 8 8 8 8 8 2 8 8 2 2 2 2 2","5 9 9 5 3 9 2 5 9 9 5 2 2 2 9 5 9 9 3 9 9 5 2 9 2","","10 1 10 6 6 3 10 3 1 10 3 1 6 6 10 6 3 3 9 6 1 1","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","","3 3 2 2 9 3 3 2 3 9 3 2 3 3 2 2 2 2 3 2 3 3 3 3 9","1 5 4 9 9 8 1 5 8 1 8 9 9 4 9 5 9 4 5 8 4 5 4 8 4","3 3 9 9 3 9 3 3 3 9 3 3 3 9 9 9 9 9 3 9 9 9 3 3 9","4 5 4 5 4 5 5 5 4 4 5 4 5 5 4 5 5 5 4 4 4 4 4 4 4","2 2 5 2 5 2 8 8 8 5 8 8 2 8 8 2 8 2 5 8 5 5 2 5 8"}

    Returns: 1024

  27. 10

    {"2 3 6 2 6 6 2 2 2 3 6 2 2 3 3 2 6 6 6 6 6 2 2 2 6","6 9 4 5 9 4 1 5 4 4 1 1 5 9 4 9 4 2 2 4 1 6 4 9 4","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","1 8 8 1 1 2 1 2 2 1 2 8 8 8 1 8 1 1 1 2 2 1 2 8 8","2 10 2 2 2 2 10 10 10 10 10 10 2 10 2 10 10 10 2","","3 3 6 3 3 6 6 6 6 6 3 6 6 3 6 6 6 3 6 6 6 3 6 6 3"}

    Returns: 512

  28. 10

    {"1 2 1 2 2 9 9 2 4 2 7 2 4 2 1 4 2 9 9 7 1 2 4 1 2"}

    Returns: 4

  29. 10

    {"8 4 2 9 2 9 2 4 8 4 2 9 2 2 2 2 6 6 6 4 2 4 2 2 6","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10"}

    Returns: 8

  30. 10

    {"8 5 3 3 4 8 8 8 8 8 5 8 8 8 5 5 10 8 8 5 8 8 3 3","4 4 2 4 2 4 2 4 2 2 4 4 4 4 2 2 4 4 2 2 2 2 4 4 2"}

    Returns: 16

  31. 10

    {"10 10 5 1 10 10 1 1 5 5 5 1 10 10 10 1 10 10 5 5","5 5 5 5 5 5 5 5 7 8 5 5 5 2 5 8 7 5 5 8 8 2 5 2 5"}

    Returns: 16

  32. 10

    {"6 3 3 6 4 6 3 6 1 1 7 6 6 4 3 4 6 6 6 7 6 6 6 1 7","7 9 8 4 4 9 8 3 2 2 6 8 3 9 6 9 7 4 9 3 9 9 9 8 4","3 8 3 3 8 8 3 8 3 3 3 3 3 3 3 3 8 8 3 8 8 3 8 3 3"}

    Returns: 64

  33. 10

    {"10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10","2 2 1 2 9 1 9 2 9 1 1 1 9 9 2 2 2 1 2 1 1 9 9 9 2","1 3 3 6 4 3 6 3 4 3 6 3 9 1 3 3 1 1 3 6 1 3 2 3 1","2 2 8 2 6 2 6 2 8 2 2 8 8 2 2 8 6 2 2 2 6 2 6 6 2","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","10 8 9 7 10 8 7 7 4 9 9 8 4 10 9 7 9 10 10 7 8 4","8 8 5 2 4 8 8 5 8 8 3 5 2 5 2 4 5 5 2 5 4 3 4 9 4"}

    Returns: 1024

  34. 10

    {"4 5 5 4 1 1 4 4 5 4 4 1 4 1 1 4 1 5 5 1 5 5 5 5 1","1 1 5 9 3 3 9 3 3 5 5 9 10 1 1 5 1 5 3 10 3 10 1","8 9 7 7 9 3 7 7 7 9 3 4 7 7 4 3 8 7 3 8 7 4 8 8 7","3 2 3 1 5 2 3 4 10 10 10 5 2 1 4 2 5 2 1 10 8 7 3","3 1 3 3 4 7 4 4 7 10 1 10 3 5 4 4 5 5 8 8 10 1 8","6 6 3 6 3 3 6 1 1 1 6 3 6 6 1 3 3 3 6 3 6 3 3 1 6","5 9 9 9 9 9 9 5 5 5 5 9 5 5 9 9 9 5 9 9 9 5 5 5 5","4 7 4 4 9 7 5 4 4 5 4 5 4 4 7 4 7 9 4 4 4 7 9 4 7","1 2 7 1 6 1 1 1 1 7 1 1 1 2 6 1 1 2 2 7 2 2 1 6 7","","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","1 6 1 6 3 9 9 6 6 1 3 3 9 3 9 9 9 3 1 9 9 6 9 3 9","7 2 5 5 6 10 4 5 5 8 8 4 8 5 5 7 5 5 4 5 7 8 8 5","4 4 5 4 7 4 7 4 3 4 1 8 7 4 4 7 3 4 1 7 4 1 8 1 4","","8 1 1 3 3 2 2 3 8 2 8 2 2 8 8 8 2 8 2 3 8 3 8 2 8","2 9 3 4 2 3 2 3 3 9 9 2 7 2 8 9 3 8 9 9 3 7 4 3 9","5 4 7 9 7 5 7 7 8 9 8 4 8 5 7 7 4 9 7 4 7 9 7 5 4"}

    Returns: 1024

  35. 10

    {"5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","","1 1 8 8 8 1 7 7 1 7 6 7 6 8 7 10 7 6 6 8 7 6 7 10","8 5 8 10 8 1 8 1 8 1 1 8 8 8 1 1 5 5 8 8 5 1 8 8","","1 3 1 8 3 8 6 7 8 3 7 8 3 8 1 7 7 3 1 1 8 8 8 3 8","2 10 2 2 2 2 7 10 2 10 2 2 7 2 10 2 2 2 2 2 1 7 2","9 9 9 3 3 3 3 3 9 9 3 9 9 9 3 9 9 9 3 3 3 9 3 3 3","6 3 4 4 6 3 6 3 2 2 2 2 2 4 2 3 2 2 4 4 2 6 6 6 2","6 9 5 5 5 9 3 6 6 5 3 5 9 9 8 9 10 10 10 9 5 3 10","9 3 2 3 3 2 10 2 10 6 2 10 3 6 2 9 10 3 6 2 3 9 6","9 4 4 4 7 3 7 4 7 9 4 6 3 8 8 8 9 8 4 3 6 9 9 4 8","5 3 5 5 5 9 6 10 3 5 5 5 6 5 5 9 9 6 5 9 6 10 6 3","2 2 7 2 2 2 7 7 2 2 7 2 7 2 2 7 7 7 7 7 7 2 7 7 7","5 4 2 5 4 4 5 6 6 2 4 5 2 5 2 2 6 4 5 2 6 6 4 6 2","7 3 6 1 1 7 5 6 3 6 6 6 5 7 8 8 8 1 1 1 6 5 8 5 7","7 9 7 9 2 7 2 9 7 7 2 7 2 7 7 7 2 7 7 7 7 2 2 2 7","10 10 10 4 10 7 8 7 7 4 7 7 10 8 10 4 9 8 8 9 4 4","6 1 1 1 6 6 6 1 1 1 1 1 1 1 1 1 6 6 1 1 1 1 6 1 1","4 1 4 1 1 4 1 4 4 4 4 1 4 4 4 1 1 1 4 1 4 1 4 4 4","7 10 7 3 10 1 1 1 5 7 7 2 5 7 1 7 5 1 3 2 1 3 5 7","9 7 9 7 9 5 5 9 5 7 5 9 7 7 7 5 5 9 5 9 5 9 7 9 7","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","10 8 6 10 6 10 1 1 3 8 4 8 6 9 3 8 7 8 4 1 9 6 9","1 2 5 5 7 7 5 5 2 5 2 5 5 1 1 2 1 1 7 5 5 5 5 5 7","8 8 10 9 1 10 10 10 1 10 1 10 1 2 9 9 8 1 1 9 10","2 9 9 9 8 6 6 8 6 6 6 2 2 9 6 9 9 6 2 9 9 9 6 9 2","4 4 4 10 8 6 4 6 10 10 10 6 8 6 4 8 10 10 10 4 6","10 5 5 5 5 5 10 5 4 5 10 10 4 10 10 5 4 4 10 5 10","7 10 10 9 7 7 3 10 10 10 10 10 10 9 7 10 7 10 9 3","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","6 6 5 5 6 5 5 8 6 5 10 5 10 2 2 6 5 10 5 6 8 2 10","6 3 5 6 6 2 5 5 3 5 6 3 5 5 6 3 6 5 6 5 6 2 5 2 3","","","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10","1 2 7 5 5 9 6 7 1 5 7 6 1 5 6 2 5 5 6 5 9 2 8 6 6","10 5 2 2 2 5 10 2 10 10 5 10 5 10 3 5 5 3 3 5 3 2","9 9 3 9 8 3 8 3 9 8 3 8 3 9 8 8 3 8 8 9 3 3 3 3 3","1 3 5 1 1 2 3 10 1 2 1 1 3 3 2 1 5 2 3 3 3 1 3 10","10 7 4 3 7 7 4 4 7 3 4 10 7 7 10 7 3 4 7 7 7 10 3"}

    Returns: 1024

  36. 10

    {"","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","1 7 4 1 1 1 1 1 4 1 7 1 4 4 1 7 4 4 4 7 4 7 4 7 7","","3 3 3 3 6 3 6 6 3 3 3 6 3 3 3 6 6 6 6 3 6 6 3 3 6","3 3 1 3 6 2 6 9 9 1 3 6 6 3 1 6 3 1 1 9 9 3 9 2 2","6 3 10 6 6 6 10 5 5 3 6 5 10 6 10 3 3 3 3 6 5 3 3","9 9 1 4 10 9 3 1 1 10 1 9 4 9 4 4 10 1 3 9 1 9 1","8 6 3 8 8 6 6 6 5 5 3 8 4 5 9 8 8 3 8 8 8 4 6 9 3","8 3 6 6 3 3 1 4 4 4 8 7 4 7 1 1 3 4 8 1 4 8 8 1 1"}

    Returns: 1024

  37. 10

    {""}

    Returns: 2

  38. 10

    {"3 3 1 1 4 5 6 3 3 3 6 3 3 3 3 3 5 5 4 6 6 5 3 3 3","1 7 7 1 7 7 1 1 7 7 7 1 1 7 1 7 1 7 1 1 1 7 1 1 7","3 3 3 3 10 2 7 2 4 8 7 7 4 4 3 10 4 2 4 4 2 4 4 4","7 7 7 10 8 1 1 10 1 9 8 9 7 1 1 1 9 7 1 7 1 1 9 7"}

    Returns: 128

  39. 10

    {"2 4 2 2 2 1 4 5 5 1 10 1 5 2 5 5 4 10 2 5 1 2 2 4","1 1 4 1 1 5 1 5 5 4 4 5 5 1 1 5 4 4 5 5 1 4 1 5 4","5 7 5 7 7 5 3 5 7 7 3 3 5 7 7 2 7 3 7 5 5 5 5 3 7","2 6 7 2 5 2 3 2 3 6 3 3 10 5 3 3 6 3 10 3 7 3 3 2","8 2 10 4 10 2 2 2 2 8 2 2 7 4 2 2 7 8 4 7 2 2 7 4","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5"}

    Returns: 1024

  40. 10

    {"5 9 5 2 2 5 9 2 2 5 5 5 5 2 9 2 9 5 2 9 5 2 9 9 2","1 1 1 8 1 1 1 8 1 1 1 8 1 1 1 8 8 8 8 8 8 1 1 1 8","6 4 4 4 6 4 1 6 8 2 4 1 5 3 5 8 8 8 8 6 8 6 4 2 1","","1 1 4 3 1 3 4 10 1 1 3 8 4 10 5 4 4 10 4 10 10 5","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","3 8 3 8 2 7 7 2 8 2 7 3 8 8 2 2 8 3 3 2 2 3 8 8 3","2 7 7 7 9 7 2 7 9 9 7 7 9 9 7 9 7 9 7 2 7 7 7 2 2","7 6 7 5 6 6 6 6 5 7 5 5 6 6 1 7 7 10 10 6 6 6 10","4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4","3 5 6 3 6 6 3 3 3 4 10 5 4 10 3 10 3 4 10 10 6 5","","1 1 1 7 9 8 7 2 1 7 7 10 7 2 6 9 2 6 8 1 7 9 6 1","","6 6 10 10 6 6 4 6 10 4 10 6 6 10 4 4 10 10 10 4 4","2 2 10 9 8 8 8 1 2 9 1 10 9 10 10 8 9 2 2 2 8 9 2","8 10 8 7 7 10 4 8 10 4 10 10 4 7 10 8 7 7 7 7 8 8","8 3 6 3 3 8 8 5 8 6 5 8 5 8 5 8 8 6 8 6 6 5 5 3 6","2 7 2 7 8 7 8 2 2 7 2 9 2 8 8 8 9 9 9 9 2 8 7 7 8","4 10 10 1 1 10 10 1 3 3 4 1 10 3 3 3 3 3 1 10 3 1","6 9 7 6 5 7 7 7 5 1 5 1 1 9 6 6 7 1 5 1 5 9 7 1 9","3 1 1 1 1 6 6 6 3 6 6 1 10 7 6 2 3 1 1 7 6 6 8 3","10 10 9 10 10 9 4 4 9 9 10 9 4 9 9 4 4 10 10 4 9","2 10 2 2 9 10 2 8 9 2 2 2 8 9 2 2 9 2 9 2 2 10 2","7 4 3 3 1 3 3 7 6 3 4 3 4 1 1 7 6 3 4 4 3 3 3 7 6","5 5 1 1 1 5 5 5 5 5 1 5 1 5 5 5 1 1 5 1 1 1 5 1 1","10 4 4 3 10 6 4 10 6 4 3 10 3 4 10 4 10 4 4 3 3 6","3 3 3 4 3 8 1 3 3 1 1 3 4 1 8 3 3 3 1 1 1 4 8 3 3","3 6 9 6 9 3 6 3 3 3 6 9 6 3 9 3 6 3 3 3 6 3 6 9 3","","6 6 1 1 6 2 6 1 3 6 2 2 2 2 6 1 2 3 6 3 1 3 2 3 2","3 3 3 5 3 3 5 3 3 3 5 5 3 5 3 3 5 5 3 5 3 5 5 3 5","2 5 9 2 2 9 2 2 4 7 7 5 5 5 7 6 7 4 5 4 5 2 5 5 6","9 1 9 9 9 9 9 6 5 5 6 6 1 5 9 1 5 9 1 6 5 6 9 9 9","9 3 9 8 8 5 5 9 3 9 5 1 5 3 8 1 8 8 3 1 9 1 9 5 8","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10","","3 2 3 3 3 3 2 3 2 3 2 2 3 2 3 3 2 2 3 2 3 3 2 2 2","","5 5 5 10 1 10 1 5 5 1 5 10 10 1 10 5 1 10 1 5 5 5"}

    Returns: 1024

  41. 10

    {"1 2 10 1 1 2 1 10 2 9 2 9 10 10 10 2 1 10 1 1 10","8 4 6 6 8 4 8 8 4 8 6 4 8 8 6 6 4 6 6 8 4 8 4 8 6","2 6 8 2 8 4 2 1 3 6 10 2 2 1 6 10 9 1 1 4 3 4 9 2","1 5 1 1 5 5 1 5 5 1 5 1 5 5 1 1 5 5 5 5 5 5 5 1 5","10 6 10 9 7 10 9 10 10 6 9 6 10 8 10 4 7 8 9 8 7","4 8 4 10 8 8 9 4 8 4 10 10 10 8 8 8 10 8 8 9 8 8","10 2 4 2 6 6 8 8 4 8 6 6 6 2 6 8 10 9 8 2 2 4 10","7 3 1 9 9 9 9 7 6 9 7 7 5 7 7 3 8 5 9 2 9 9 9 2 9","9 10 1 7 9 3 1 9 7 3 9 3 7 1 1 3 1 1 1 9 9 1 1 1"}

    Returns: 1024

  42. 10

    {"7 1 1 9 1 9 9 8 8 7 7 7 8 7 7 1 9 1 7 7 8 1 7 8 1","8 1 6 8 1 8 10 10 5 8 8 1 9 1 5 9 8 8 1 1 5 10 8","","5 2 5 5 2 3 3 2 1 5 5 5 1 2 2 5 5 5 1 2 3 3 2 2 1","3 8 3 3 7 3 3 7 3 3 8 7 3 3 7 10 3 5 10 8 7 7 10","3 10 10 9 9 9 10 10 10 3 3 9 9 10 9 9 3 9 3 9 10","8 8 8 8 8 10 10 10 8 8 10 10 8 8 10 8 8 10 10 10","10 3 3 6 7 6 10 10 6 6 10 7 6 5 5 10 3 3 6 3 3 10","10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10","7 1 7 10 3 10 4 7 1 1 10 10 3 7 3 1 10 1 4 3 4 3","10 2 10 2 1 3 2 1 2 2 10 2 10 6 2 6 2 2 2 2 2 3 2","7 7 7 7 7 10 7 10 7 7 10 10 10 10 7 7 10 7 7 10 7","10 8 8 8 10 2 8 8 10 10 10 10 10 8 8 2 2 2 2 10 8","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","9 9 3 1 9 4 4 4 4 4 3 10 1 7 9 3 7 7 1 9 4 9 7 10","10 10 10 10 10 10 10 2 10 4 2 1 10 1 2 4 10 10 2","3 8 1 3 8 8 3 4 5 1 5 7 4 3 8 4 5 4 1 3 1 7 4 3 8","","9 4 6 4 1 2 6 1 1 1 9 2 1 6 1 2 6 1 2 2 6 1 6 2 9","7 10 1 7 1 7 10 7 1 7 4 4 4 4 7 7 4 4 7 1 4 7 4 7","","5 10 9 5 3 10 2 10 1 9 10 9 3 1 2 9 5 3 5 2 5 3 5","6 7 9 2 2 4 4 6 5 7 5 6 6 7 1 4 4 3 7 9 7 3 9 4 4","4 3 4 3 3 3 2 3 3 3 3 2 2 3 3 4 3 4 3 4 2 2 4 2 4","10 1 10 9 8 1 9 4 9 8 1 10 8 4 4 10 8 10 8 4 1 4","4 2 4 2 2 4 2 2 4 4 4 2 4 2 4 4 4 4 4 2 2 2 2 2 4","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","3 5 3 10 10 5 5 10 10 5 3 5 10 5 10 5 10 3 10 3 5","8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8"}

    Returns: 1024

  43. 10

    {"2 6 6 10 2 2 2 2 10 10 2 6 10 10 8 2 8 6 6 6 6 6","7 1 7 9 7 7 1 7 7 1 7 9 7 7 7 1 1 7 9 7 9 7 1 7 7","","2 2 5 5 7 5 7 2 7 2 4 5 7 2 7 5 7 7 2 7 5 5 2 5 7","8 8 1 6 8 6 2 2 8 1 8 2 2 6 8 6 8 1 1 8 2 1 1 1 1","6 5 3 6 6 5 3 3 7 5 7 6 3 3 3 7 3 3 3 3 3 7 6 7 3","3 3 3 3 3 3 9 9 3 4 9 9 9 3 3 9 3 4 4 9 10 10 3 5","2 2 9 5 2 10 2 9 2 9 10 10 8 2 8 10 9 10 2 2 10 9","5 6 9 6 9 6 6 5 6 9 6 5 5 5 5 9 5 5 5 5 6 9 6 9 6","4 9 4 4 5 2 9 4 4 4 5 2 5 2 4 5 4 2 9 4 4 4 9 9 4","7 6 3 3 7 8 7 8 3 3 8 7 6 7 1 8 7 3 7 7 3 8 1 7 7","7 7 9 9 7 9 5 1 1 7 1 5 7 9 1 9 1 5 1 5 7 9 1 9 9","2 2 2 8 2 2 2 8 2 2 8 2 2 10 8 2 2 10 8 2 10 8 10","3 3 8 4 8 8 3 8 3 4 4 4 3 8 4 4 8 4 8 8 8 4 4 4 8","10 10 4 10 6 4 10 6 10 4 10 8 6 6 10 6 6 8 4 4 4","5 1 5 4 8 9 1 4 4 8 5 4 4 8 8 8 8 8 1 8 8 8 9 9 8","7 5 2 7 5 2 2 2 5 9 2 9 4 2 5 2 5 5 2 5 9 5 2 2 7","10 3 5 5 8 5 7 7 1 1 10 6 5 7 7 7 5 7 3 10 10 6 7","7 2 7 2 10 5 4 2 7 10 5 2 7 10 2 2 2 7 7 5 7 7 7","7 9 9 9 4 7 9 9 9 9 9 4 9 7 9 9 9 7 7 9 4 9 4 9 7","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","2 2 8 4 2 7 2 4 4 4 8 2 2 6 2 8 4 7 6 6 7 2 7 7 2","1 3 1 2 10 1 2 2 10 1 3 10 10 10 10 1 2 5 2 5 5 2","7 7 7 7 1 7 9 1 7 7 7 7 7 7 7 1 7 1 7 7 7 7 1 7 9","4 10 4 5 4 7 10 5 7 10 10 5 7 7 4 10 7 10 5 7 10",""}

    Returns: 1024

  44. 10

    {"4 5 8 5 5 10 5 4 5 5 10 5 5 10 5 5 8 4 5 5 5 5 10","3 2 2 3 2 7 9 2 7 3 2 2 2 7 3 9 3 9 3 7 9 9 2 9 9","8 6 6 1 6 6 6 1 6 6 8 8 1 8 1 1 1 8 1 8 6 6 8 6 8","","","","1 1 1 1 9 8 1 1 8 8 8 9 1 8 1 1 1 9 1 9 1 1 1 8 1","5 1 9 2 5 9 2 10 9 1 2 2 1 2 2 10 6 10 10 9 10 1","8 4 5 3 3 5 8 3 5 5 5 8 8 8 8 5 4 1 5 8 1 4 8 8 8","","7 7 7 7 5 7 7 5 7 5 7 5 5 5 5 7 7 5 7 5 7 7 5 5 7","2 1 2 2 8 8 1 2 9 3 7 9 2 8 1 7 8 2 2 2 2 1 3 8 1","2 3 7 2 2 2 3 7 3 7 7 3 7 2 3 2 7 2 7 2 7 7 7 7 7","5 4 4 4 4 1 8 8 1 4 2 5 8 2 2 2 4 2 5 4 1 5 2 2 8","4 4 9 2 4 2 4 2 5 9 9 4 9 4 5 5 9 2 4 9 4 4 9 5 5","4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4","10 2 2 10 3 10 4 2 2 2 2 3 2 9 2 9 9 9 7 4 9 4 10","7 7 7 7 2 7 10 7 7 2 7 7 5 7 9 10 7 5 7 7 10 2 9","8 10 6 3 6 1 1 3 1 8 1 6 3 10 10 6 5 5 5 5 5 5 6","1 2 2 4 7 3 2 8 8 9 8 2 2 8 9 3 1 4 7 4 10 4 2 4","8 4 8 4 4 8 4 8 4 8 8 4 4 4 4 4 4 4 4 4 4 4 8 8 8","8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8","2 2 2 3 2 2 3 2 3 2 3 2 3 3 2 3 3 3 3 3 2 2 2 2 2","10 10 10 6 10 10 6 10 6 10 6 10 10 10 6 10 10 6 6","3 7 4 4 7 5 5 7 5 4 4 3 4 7 7 4 3 3 5 4 9 9 9 7 4","4 4 4 6 6 6 4 6 4 6 4 6 6 6 6 6 6 6 4 6 4 4 4 4 6","","6 6 10 7 7 1 6 1 5 2 7 7 7 1 5 2 5 6 1 7 5 5 1 2","6 2 2 8 5 6 8 2 2 8 5 8 8 8 2 6 5 2 5 6 5 5 2 2 5"}

    Returns: 1024

  45. 10

    {"6 7 6 7 7 7 7 10 3 7 6 7 7 8 8 7 2 3 6 8 6 7 7 7","1 3 7 7 1 4 6 6 1 6 1 1 1 3 3 1 6 4 1 1 3 4 6 1 7","5 7 8 5 7 5 7 5 5 8 5 5 7 5 8 8 8 5 5 7 7 8 8 7 7","6 6 1 9 9 6 1 9 6 9 9 6 6 9 6 6 6 6 1 1 6 9 1 6 9","9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","2 1 2 1 2 5 6 6 6 5 2 4 2 2 1 1 2 6 4 8 1 2 1 6 2","4 5 5 3 1 2 1 2 8 6 8 8 5 6 5 1 2 6 2 5 1 8 8 1 1","10 5 10 5 5 10 10 5 10 5 7 7 10 5 10 4 5 10 5 10","3 3 3 1 3 3 3 3 1 1 1 1 1 1 1 1 3 3 1 3 1 3 3 1 1","10 3 10 4 4 4 2 10 4 2 7 4 10 2 10 3 10 7 7 7 4 4","6 8 8 9 4 4 6 1 6 8 8 9 9 6 8 1 6 8 6 6 1 4 1 9 9","10 6 7 7 6 7 7 10 9 9 9 10 6 10 10 2 10 2 6 10 2","4 8 9 4 8 8 8 3 8 9 4 8 4 9 9 4 9 4 5 10 9 7 5 8","4 5 4 7 6 5 5 6 4 6 4 4 7 7 7 5 7 6 4 7 6 6 4 4 5","1 6 1 6 4 4 5 1 1 7 5 4 3 4 1 3 5 7 5 6 5 5 7 7 6","2 6 6 2 2 2 6 2 2 4 6 6 1 8 2 8 1 2 8 6 6 6 9 2 2","4 8 3 4 3 8 8 8 4 3 3 4 3 8 3 8 3 8 4 3 3 4 3 4 3","","8 8 4 4 8 8 8 8 8 8 4 8 8 4 8 4 4 8 7 4 8 8 8 7 7","3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3","10 10 10 3 10 5 8 7 6 8 7 6 10 7 10 4 8 3 10 3 4","8 7 5 8 1 5 8 2 5 8 8 7 8 1 8 2 2 7 7 1 1 7 1 1 7","10 6 3 8 2 5 5 3 5 6 5 8 5 2 6 2 5 5 3 3 2 2 5 3","1 9 1 9 1 1 1 10 1 1 1 10 1 1 1 1 1 1 1 9 9 10 9","5 1 8 8 8 7 2 1 8 8 8 8 7 7 8 1 8 8 2 5 1 8 2 1 2","6 5 9 2 9 6 9 1 9 9 9 9 5 9 5 9 9 9 9 9 6 9 9 1 5","","3 7 6 6 6 7 1 7 3 7 7 3 1 7 1 1 7 1 1 7 7 7 7 1 7","10 5 2 2 2 10 8 8 4 2 2 5 2 10 8 4 2 4 5 5 2 2 5","3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3","3 3 1 3 3 1 1 1 3 3 1 3 3 1 3 3 1 1 1 3 3 1 1 3 3","","8 8 6 6 1 1 7 5 1 5 5 7 5 1 8 8 7 8 6 6 8 6 7 6 7","10 10 2 10 10 2 10 10 10 10 10 10 6 10 10 6 6 2 6","","7 2 2 2 2 1 6 1 8 6 1 6 2 7 8 1 5 2 1 5 1 6 7 7 6","6 6 2 6 2 6 6 6 2 2 6 2 6 2 6 6 6 6 2 2 6 6 6 6 6","4 4 8 5 7 4 8 10 10 5 1 10 10 5 9 10 1 8 8 4 9 1","3 9 9 9 9 8 9 10 10 3 9 9 9 9 8 8 9 9 8 3 8 9 9 9","6 5 1 5 1 5 5 5 5 1 6 1 1 5 5 6 1 1 5 5 10 1 5 5","3 7 7 3 6 6 8 3 7 7 7 6 2 6 7 8 6 3 7 6 6 4 6 4 6","9 3 9 9 3 3 3 9 9 3 9 9 9 3 3 3 9 9 9 9 9 9 3 9 3","3 3 3 1 3 5 7 9 4 1 1 1 5 7 1 10 1 1 1 5 7 8 3 1"}

    Returns: 1024

  46. 10

    {"","10 10 1 1 1 10 10 1 1 10 10 10 10 10 1 10 10 10 1","6 8 4 5 6 8 3 3 3 3 4 4 4 6 5 4 6 5 6 3 6 4 6 7 7","6 1 10 4 1 1 4 4 5 1 4 1 1 5 1 5 4 4 1 6 1 1 10 4","7 2 2 4 7 2 4 4 7 7 2 7 4 7 2 2 7 2 2 2 2 7 4 2 2","","9 7 9 7 9 2 8 9 2 9 2 9 8 7 8 9 9 7 2 9 9 9 2 9 7","9 10 10 10 2 5 5 10 3 3 10 9 10 10 10 10 2 2 10 2","9 9 10 10 10 10 1 10 1 10 1 9 9 9 1 1 10 10 9 1 9","10 10 3 10 2 2 3 3 10 2 10 10 10 10 10 3 10 2 2 3","5 3 5 3 5 3 5 5 5 5 3 3 5 1 3 3 5 1 1 5 5 3 5 1 1","6 1 6 1 4 6 4 4 1 4 1 6 6 1 1 4 4 6 1 6 4 4 4 4 6","4 9 7 9 7 9 4 4 4 4 9 9 4 7 9 7 9 9 9 7 9 4 4 4 7","3 1 6 8 3 3 1 3 8 6 3 9 6 10 8 10 3 1 10 8 9 8 3","6 3 6 6 3 6 6 2 10 10 6 10 3 3 6 3 10 10 3 2 2 3","6 6 6 3 10 10 2 2 10 6 6 6 6 10 6 6 6 6 10 6 10 6","7 5 5 3 7 7 1 8 3 9 9 9 7 3 5 1 9 9 3 9 1 5 7 5 8","8 8 8 6 6 8 6 8 8 8 8 8 6 8 8 8 6 6 6 8 6 8 8 8 6","1 7 7 1 7 1 1 1 7 7 7 7 1 1 7 1 1 7 7 1 1 7 7 1 7","3 8 3 5 2 5 8 3 2 3 3 8 2 4 4 2 8 10 2 3 4 5 3 5","7 3 10 10 10 4 10 3 7 3 10 4 3 4 10 7 4 1 1 4 7 3","1 8 4 1 8 3 2 1 3 1 1 1 3 1 1 1 3 4 2 4 4 4 5 5 3","9 4 9 7 4 9 4 2 7 9 9 9 9 4 9 4 9 2 9 7 9 9 4 9 2","4 7 6 4 4 6 1 4 7 4 4 4 4 9 4 10 10 7 6 4 6 3 9 4","","","10 4 6 4 6 4 2 2 6 4 6 4 6 2 6 2 4 4 4 10 2 6 6 6","10 10 3 6 3 3 6 3 10 3 3 10 3 3 3 3 10 3 3 3 10 3","8 3 8 2 8 8 3 8 8 8 8 8 2 2 2 8 8 8 7 8 8 3 8 3 8","10 10 3 10 3 5 5 7 10 5 5 5 6 3 7 10 6 5 5 7 7 5","4 6 4 6 6 4 4 6 6 6 6 4 6 6 4 4 4 4 6 4 4 4 6 4 6","6 9 10 2 1 3 1 10 1 8 9 7 1 6 1 2 2 2 1 9 7 8 8 3","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","9 9 9 7 9 7 7 7 7 7 7 7 9 7 9 7 7 7 7 7 7 7 9 7 7","1 2 5 2 5 5 2 3 3 3 1 1 1 2 2 3 2 2 5 5 2 2 1 1 1","5 2 2 2 1 1 3 3 1 5 1 2 2 2 2 3 2 3 2 2 1 5 2 2 3","3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4","8 3 4 3 8 3 9 4 8 9 3 8 9 9 3 4 9 4 9 8 9 8 9 3 4","8 2 8 2 2 8 10 4 4 10 8 2 1 8 1 5 8 8 4 10 10 10","6 6 7 6 7 1 6 7 6 1 1 7 1 1 1 1 5 5 6 1 7 1 1 1 1"}

    Returns: 1024

  47. 10

    {"7 4 4 2 1 7 6 7 4 7 2 4 4 1 7 6 4 7 4 4 4 6 7 4 1","9 9 8 7 6 9 9 2 9 9 4 2 3 2 8 6 6 7 6 2 6 9 6 3 2","4 4 4 7 7 4 7 7 7 4 7 4 7 4 7 4 7 4 7 4 7 4 4 7 4","3 2 8 8 2 8 8 3 3 8 2 8 8 2 8 2 8 3 3 8 8 3 2 2 3"}

    Returns: 128

  48. 10

    {"1 2 3","4 5 6 7 8 9 10","1 2 3 4 5 6 7 8 9 10",""}

    Returns: 4

  49. 10

    {"9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","6 6 6 5 6 6 6 5 6 6 5 6 6 5 6 6 5 5 6 5 5 6 5 5 5","1 8 8 1 8 8 8 1 1 1 1 1 1 1 1 1 8 8 8 1 1 1 1 1 8","3 3 3 3 2 2 9 3 3 3 5 2 3 9 5 9 6 9 6 3 9 2 9 5 3"}

    Returns: 32

  50. 10

    {"1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","2 2 5 5 1 5 2 1 1 1 5 1 1 2 1 5 2 2 2 2 5 2 2 5 2","7 7 7 7 7 3 7 7 2 3 7 8 7 8 3 8 8 2 8 8 3 3 8 7 8","1 2 3 4 6 4 6 4 10 2 6 10 1 6 2 9 2 2 2 1 6 1 1 6"}

    Returns: 64

  51. 10

    {"6 6 6 6 9 9 6 6 9 9 9 6 6 6 6 9 6 6 9 9 9 6 9 9 9","1 1 2 6 7 7 6 6 6 2 6 1 1 6 6 1 1 7 1 7 6 6 7 7 6","6 6 6 9 4 1 6 9 6 6 9 4 9 9 4 1 4 9 4 4 4 9 9 9 1","2 9 9 9 7 9 2 9 7 7 7 2 7 2 7 2 7 2 2 7 9 9 9 7 9"}

    Returns: 64

  52. 10

    {"4 7 1 1 6 7 9 6 7 7 6 4 6 1 6 8 6 8 7 7 9 4 8 7 4","10 5 3 1 1 1 1 7 1 7 7 1 10 1 10 1 7 1 5 5 1 7 7","7 2 2 7 7 2 7 7 2 7 2 7 7 2 2 7 7 2 7 2 2 7 2 2 2","7 6 1 6 5 6 1 1 2 1 7 6 7 1 1 1 5 8 3 1 5 1 8 5 7",""}

    Returns: 128

  53. 10

    {"1 9 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 9","5 5 6 6 6 6 6 6 5 6 6 6 6 5 6 5 5 6 5 5 5 6 5 6 5","7 9 10 5 3 9 10 10 9 7 7 3 10 5 9 3 10 5 9 9 9 5",""}

    Returns: 64

  54. 10

    {"8 5 9 1 10 8 6 9 1 6 8 5 8 8 3 6 10 10 8 6 3 10 5","8 3 3 3 9 9 3 3 8 3 3 3 3 9 3 9 9 3 3 9 9 8 8 9 3","7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","9 10 10 8 7 3 8 10 10 10 6 2 9 6 3 6 8 7 8 2 6 3","5 10 4 7 8 10 5 5 8 7 1 5 4 10 10 8 7 5 10 5 8 8","","1 9 1 1 9 9 1 1 1 1 1 9 1 1 9 9 1 1 1 9 1 9 9 1 9"}

    Returns: 1024

  55. 10

    {"5 5 8 8 7 8 5 6 5 8 2 7 5 6 2 5 2 2 5 6 7 7 5 5 2","1 1 6 6 9 4 6 3 9 7 10 8 10 9 4 2 8 8 9 4 10 1 3","2 2 6 9 9 2 6 6 2 2 2 2 5 2 6 6 5 2 2 9 2 5 6 6 2","3 3 3 3 3 9 7 3 9 1 1 3 9 7 9 7 1 3 1 9 3 1 3 3 3","5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5","9 9 1 9 2 9 9 9 7 9 9 2 2 9 7 9 9 9 2 2 9 2 7 9 1","4 1 7 1 9 4 4 4 7 9 7 3 3 1 4 7 1 4 1 9 4 7 9 9 7"}

    Returns: 1024

  56. 10

    {"3 9 3 3 3 3 8 8 3 1 1 8 1 9 1 9 3 3 9 5 9 1 8 8 3","8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8","5 2 3 5 7 2 3 4 7 2 6 2 7 7 7 2 4 3 7 5 4 2 2 2 4","9 9 9 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 10 9 9","3 3 3 3 3 3 5 9 5 6 3 3 6 3 3 2 3 3 3 3 3 3 3 3 5","10 8 7 9 7 4 7 4 7 9 4 10 4 10 7 4 8 4 7 7 7 4 4","3 3 6 3 3 6 6 3 3 6 3 3 3 3 6 6 3 6 6 3 6 3 6 6 3","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","7 10 10 6 9 6 10 3 7 7 4 9 5 4 6 3 3 9 6 6 4 6 4","3 9 5 1 8 6 8 3 6 6 2 6 1 3 9 6 6 3 6 6 8 1 6 1 8","6 6 2 5 2 6 2 10 2 2 10 10 2 5 10 2 2 6 10 1 6 2"}

    Returns: 512

  57. 10

    {"9 7 9 6 9 7 6 9 7 9 9 9 6 7 7 9 9 9 9 9 9 6 6 9 9","9 3 3 3 9 3 10 7 3 7 9 9 3 7 10 10 10 3 7 3 7 7 3","10 3 3 4 10 10 4 10 9 5 9 9 4 9 5 4 4 10 4 10 10","7 3 3 3 3 9 9 3 7 3 3 9 9 9 3 7 9 9 3 7 9 3 9 7 7","2 2 2 10 10 1 1 10 1 2 1 2 1 2 2 2 10 2 10 2 10 2","7 2 2 5 10 5 5 10 2 2 10 5 10 10 7 5 2 7 2 5 5 5"}

    Returns: 1024

  58. 10

    {"3 2 10 10 10 3 3 3 2 10 4 4 2 2 10 2 8 8 3 10 4 2","5 5 5 7 5 8 5 5 8 7 8 8 5 5 8 8 5 5 5 5 5 5 5 5 5","3 4 1 7 7 7 3 4 4 1 7 7 3 7 4 4 2 7 3 7 3 4 2 4 7","1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1","10 8 4 4 10 8 7 10 8 9 9 9 10 10 4 7 7 9 9 4 7 4"}

    Returns: 512

  59. 10

    {"6 3 4 6 7 3 4 1 3 6 1 3 1 4 4 1 7 10 3 4 1 1 1 7","","","8 10 10 3 4 3 3 8 3 4 4 4 2 3 8 8 4 4 2 3 4 8 2 4","4 3 3 4 4 4 4 4 3 4 4 3 4 3 3 3 3 4 4 4 4 3 3 3 3"}

    Returns: 32

  60. 10

    {"7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7","","6 4 9 6 10 1 9 9 9 10 4 9 9 6 9 10 6 6 1 9 9 9 6","5 6 5 5 5 5 6 5 5 5 6 6 6 6 6 6 6 6 6 5 6 5 6 5 6"}

    Returns: 32

  61. 10

    {"6 8 4 6 1 1 4 4 4 4 6 1 8 4 8 8 1 6 4 4 6 4 4 1 1","10 7 7 10 10 10 7 7 9 9 8 6 9 6 9 8 10 3 7 5 9 9","",""}

    Returns: 16

  62. 10

    {"6 1 1 4 6 1 6 1 4 4 4 6 6 1 1 4 6 1 1 1 1 1 4 1 1","5 5 9 5 9 7 7 7 3 3 7 5 3 3 9 5 3 9 5 3 3 3 3 9 3","3 6 6 3 4 6 3 6 6 4 4 6 4 6 3 6 6 4 6 3 6 4 6 3 6","6 4 4 4 4 6 6 7 7 6 4 4 6 6 6 4 4 4 7 7 4 7 4 6 4","","","9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9","1 10 1 7 10 1 7 7 7 10 7 10 7 10 10 10 10 10 7 7"}

    Returns: 256

  63. 10

    {"3 4 2 3 3 4 2 3 7 7 2 4 2 3 7 4 9 7 3 4 2 3 2 4 2","1 1 4 4 4 1 4 4 1 1 4 4 4 1 1 4 4 4 4 1 1 4 1 4 1","","","6 4 6 5 7 6 5 8 9 6 5 8 10 8 6 9 8 6 9 8 6 6 2 2","2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2","10 7 7 1 5 10 1 1 9 1 10 10 1 10 9 9 6 9 9 9 7 5"}

    Returns: 128

  64. 10

    {"1","2","2 3 4 5 6 7 8 9 10","1 3 4 5 6 7 8 9 10","1 2 3 4 5 6 7 8 9 10","","1 2","3 4 5 6 7 8 9 10"}

    Returns: 8

  65. 10

    {"2","2 3 4 5 6 7 8 9 10","1 3 4 5 6 7 8 9 10","1 2 3 4 5 6 7 8 9 10","","1 2","3 4 5 6 7 8 9 10"}

    Returns: 8

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