Statistics

Problem Statement for "BestEvenSplit"

Problem Statement

Time limit is 3 seconds.


There are N students, where N is even. The students are numbered starting from 0.

Some pairs of students are friends: for each valid i, students X[i] and Y[i] are friends.


For a group project the students have to be split into two groups with exactly N/2 students in each of them. The quality of a split can be measured by the number of friendships that are broken by the split. More precisely, for each split we can count the pairs of friends who aren't in the same group, and we want to minimize this value.

Return the number of optimal ways to split the students into two groups. (Two ways of splitting the students are considered the same if each student's groupmates are the same.)

Definition

Class:
BestEvenSplit
Method:
count
Parameters:
int, int[], int[]
Returns:
int
Method signature:
int count(int N, int[] X, int[] Y)
(be sure your method is public)

Constraints

  • N will be between 2 and 30, inclusive.
  • N will be even.
  • X and Y will contain the same number of elements.
  • For each i, 0 <= X[i] < Y[i] <= N-1.
  • All pairs of friends described by X and Y will be distinct.

Examples

  1. 6

    {0, 0, 1, 1, 3}

    {2, 4, 3, 5, 5}

    Returns: 1

    There are five friendships: 0-2, 0-4, 1-3, 1-5, and 3-5. There is an unique optimal split of these students into teams: one team has to be {0,2,4} and the other {1,3,5}. This way everyone's all friends are on their team.

  2. 6

    {}

    {}

    Returns: 10

    Each of the 10 possible splits of these students into two groups is clearly equally good.

  3. 6

    {3}

    {5}

    Returns: 4

    In the optimal split students 3 and 5 have to be in the same group. We have four possibilities for their last teammate.

  4. 30

    { 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 26, 27, 28 }

    { 2, 3, 5, 6, 7, 10, 11, 12, 17, 18, 23, 26, 27, 3, 4, 5, 6, 7, 11, 13, 16, 17, 21, 22, 26, 3, 4, 8, 9, 10, 12, 13, 14, 17, 23, 24, 28, 29, 4, 9, 12, 14, 17, 27, 5, 6, 7, 12, 14, 15, 17, 19, 21, 22, 23, 24, 26, 28, 6, 8, 10, 11, 15, 18, 19, 22, 26, 29, 9, 13, 16, 17, 19, 20, 21, 22, 25, 27, 9, 10, 16, 17, 19, 20, 22, 29, 10, 11, 14, 15, 17, 19, 21, 27, 28, 13, 19, 20, 24, 25, 28, 14, 15, 16, 20, 21, 22, 25, 26, 29, 17, 18, 25, 26, 27, 13, 16, 17, 23, 25, 28, 29, 16, 17, 19, 20, 21, 25, 26, 27, 28, 16, 17, 18, 21, 23, 24, 28, 29, 16, 18, 22, 18, 19, 20, 22, 27, 29, 19, 21, 23, 25, 29, 19, 20, 21, 23, 25, 20, 22, 24, 25, 27, 28, 21, 25, 28, 22, 23, 24, 23, 24, 25, 26, 27, 24, 25, 27, 29, 28, 29, 27, 29, 27, 28, 29 }

    Returns: 8

  5. 2

    {}

    {}

    Returns: 1

  6. 2

    {0}

    {1}

    Returns: 1

  7. 30

    {}

    {}

    Returns: 77558760

  8. 14

    {0, 1, 1, 1, 1, 2, 3, 3, 4, 4, 5, 5, 6, 8, 10, 11, 12}

    {11, 2, 3, 4, 9, 9, 10, 13, 5, 7, 6, 11, 7, 10, 12, 12, 13}

    Returns: 1

  9. 16

    {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 10, 10, 11, 11, 11, 12, 12, 12}

    {1, 4, 6, 7, 11, 12, 13, 4, 5, 7, 9, 4, 5, 7, 8, 9, 10, 12, 13, 15, 4, 5, 6, 9, 11, 12, 13, 15, 6, 7, 8, 9, 10, 11, 12, 13, 14, 8, 15, 8, 9, 10, 12, 14, 8, 10, 11, 12, 13, 14, 15, 9, 11, 12, 10, 14, 12, 15, 13, 14, 15, 13, 14, 15}

    Returns: 3

  10. 22

    {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 18, 19}

    {1, 3, 7, 12, 17, 19, 2, 4, 6, 16, 18, 21, 8, 10, 6, 9, 10, 17, 18, 6, 9, 13, 14, 16, 9, 10, 13, 14, 20, 7, 9, 10, 15, 8, 21, 12, 13, 15, 17, 20, 21, 11, 14, 16, 18, 21, 18, 21, 12, 16, 18, 15, 14, 17, 18, 17, 18, 20, 16, 19, 21, 19, 21, 20, 20}

    Returns: 1

  11. 8

    {0, 0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 5, 6}

    {2, 3, 6, 2, 4, 7, 3, 4, 5, 6, 4, 5, 6, 7, 5, 7, 7, 7}

    Returns: 1

  12. 6

    {0, 1, 3}

    {4, 5, 4}

    Returns: 1

  13. 6

    {0, 0, 0}

    {1, 3, 5}

    Returns: 3

  14. 24

    {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 16, 16, 17, 17, 17, 17, 17, 19, 20, 21}

    {11, 12, 13, 14, 17, 21, 22, 23, 4, 5, 7, 16, 17, 18, 20, 23, 3, 5, 7, 8, 9, 12, 13, 17, 18, 19, 20, 22, 5, 6, 9, 11, 14, 16, 19, 22, 23, 10, 11, 13, 14, 16, 19, 21, 22, 8, 10, 11, 13, 14, 15, 16, 17, 20, 21, 22, 23, 9, 10, 12, 16, 17, 19, 8, 10, 11, 12, 13, 14, 15, 17, 20, 21, 9, 13, 14, 15, 20, 21, 22, 23, 12, 13, 20, 22, 23, 13, 17, 18, 19, 20, 12, 13, 15, 16, 17, 14, 15, 14, 17, 18, 19, 21, 15, 16, 17, 18, 19, 22, 16, 18, 19, 19, 20, 21, 22, 23, 21, 23, 22}

    Returns: 9

  15. 18

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 15}

    {1, 2, 3, 5, 6, 7, 8, 9, 12, 13, 14, 15, 16, 17, 4, 6, 7, 9, 14, 15, 16, 17, 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 16, 17, 5, 7, 8, 10, 11, 14, 15, 16, 17, 5, 6, 7, 8, 10, 11, 13, 15, 6, 7, 9, 10, 11, 12, 14, 15, 8, 9, 10, 13, 14, 15, 16, 17, 8, 9, 10, 11, 13, 17, 9, 11, 12, 13, 14, 15, 16, 17, 10, 12, 13, 14, 15, 13, 15, 12, 13, 14, 16, 13, 14, 16, 17, 14, 15, 16, 17, 15, 16, 16}

    Returns: 2

  16. 10

    {0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 4, 4, 5, 5, 6}

    {4, 7, 3, 4, 7, 3, 4, 5, 9, 5, 6, 7, 7, 9, 8}

    Returns: 2

  17. 22

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 17, 17, 17, 18, 18, 19, 20}

    {1, 2, 3, 4, 5, 9, 10, 13, 14, 15, 16, 17, 18, 19, 20, 21, 2, 3, 4, 5, 6, 11, 14, 16, 17, 18, 20, 21, 5, 7, 10, 11, 12, 17, 18, 19, 4, 5, 6, 7, 10, 11, 12, 13, 14, 16, 17, 19, 5, 7, 8, 9, 11, 13, 14, 15, 17, 18, 19, 20, 21, 6, 7, 8, 9, 10, 11, 12, 15, 16, 17, 18, 20, 21, 8, 10, 11, 12, 13, 14, 15, 17, 19, 20, 21, 8, 9, 10, 12, 13, 14, 15, 17, 19, 21, 10, 11, 13, 14, 16, 17, 20, 21, 11, 12, 13, 14, 15, 16, 17, 19, 20, 21, 11, 12, 16, 20, 21, 17, 18, 20, 21, 13, 14, 15, 16, 17, 19, 20, 21, 14, 16, 17, 16, 17, 18, 19, 20, 21, 16, 17, 18, 19, 20, 19, 18, 20, 21, 20, 21, 21, 21}

    Returns: 1

  18. 24

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 21}

    {1, 2, 3, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 2, 3, 4, 6, 8, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 3, 4, 5, 6, 7, 10, 11, 12, 14, 17, 19, 20, 21, 22, 23, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 21, 22, 23, 7, 8, 9, 11, 12, 13, 16, 17, 18, 19, 20, 21, 23, 7, 8, 9, 10, 11, 15, 16, 17, 19, 20, 21, 22, 23, 8, 9, 10, 12, 13, 14, 16, 17, 19, 20, 21, 22, 23, 9, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 11, 12, 14, 15, 18, 20, 22, 23, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 13, 16, 17, 19, 20, 21, 22, 14, 15, 17, 18, 19, 20, 21, 22, 15, 16, 17, 18, 19, 20, 21, 22, 23, 16, 20, 18, 19, 21, 23, 18, 19, 21, 23, 19, 20, 21, 22, 23, 20, 21, 22, 21, 22, 23, 23}

    Returns: 2

  19. 22

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 20}

    {3, 4, 5, 6, 7, 9, 11, 12, 13, 15, 16, 20, 21, 2, 3, 4, 5, 6, 8, 14, 16, 20, 21, 3, 8, 9, 10, 12, 13, 16, 18, 5, 6, 7, 9, 10, 11, 12, 15, 21, 7, 8, 11, 13, 18, 9, 12, 14, 18, 20, 21, 7, 8, 9, 13, 16, 17, 12, 13, 17, 19, 20, 10, 11, 13, 15, 18, 19, 20, 21, 11, 12, 16, 17, 19, 20, 13, 14, 15, 16, 18, 21, 14, 18, 19, 20, 21, 15, 16, 20, 21, 21, 16, 17, 18, 16, 17, 18, 19, 20, 21, 19, 20, 21, 21, 20, 21}

    Returns: 3

  20. 6

    {0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 3, 3}

    {2, 4, 5, 2, 3, 4, 5, 3, 4, 5, 4, 5}

    Returns: 2

  21. 18

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 16}

    {1, 2, 3, 4, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 2, 3, 4, 7, 8, 9, 12, 14, 15, 16, 17, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 6, 8, 9, 11, 12, 14, 15, 17, 5, 6, 7, 8, 9, 12, 13, 15, 16, 17, 7, 8, 9, 10, 12, 14, 16, 17, 8, 9, 10, 11, 13, 14, 15, 16, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 9, 10, 11, 13, 15, 17, 11, 12, 14, 15, 16, 17, 11, 12, 13, 15, 16, 17, 12, 13, 14, 16, 13, 14, 15, 16, 17, 14, 17, 15, 17, 17, 17}

    Returns: 1

  22. 4

    {0, 0, 1, 1, 2}

    {1, 3, 2, 3, 3}

    Returns: 2

  23. 4

    {0, 1, 1, 2}

    {1, 2, 3, 3}

    Returns: 1

  24. 14

    {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 5, 5, 5, 5, 6, 6, 6, 7, 7, 7, 8, 8, 9, 10, 10, 10, 11}

    {1, 3, 4, 5, 7, 12, 2, 4, 5, 6, 11, 13, 4, 8, 10, 7, 8, 9, 9, 10, 6, 8, 12, 13, 7, 11, 13, 8, 10, 11, 10, 13, 13, 11, 12, 13, 13}

    Returns: 1

  25. 4

    {1, 2}

    {3, 3}

    Returns: 2

  26. 10

    {0, 0, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 6, 7}

    {2, 9, 2, 3, 4, 4, 6, 8, 9, 5, 6, 7, 8, 6, 7, 9, 6, 7, 9}

    Returns: 1

  27. 28

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 25, 26}

    {1, 2, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 25, 2, 3, 4, 5, 7, 8, 11, 13, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 4, 6, 7, 8, 9, 10, 11, 12, 14, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 5, 6, 7, 8, 9, 12, 13, 14, 16, 17, 18, 19, 20, 21, 23, 25, 26, 27, 6, 7, 8, 9, 12, 13, 14, 15, 17, 18, 20, 22, 23, 24, 26, 27, 8, 11, 13, 14, 15, 16, 18, 19, 22, 23, 24, 25, 8, 10, 11, 13, 14, 16, 17, 19, 22, 25, 26, 27, 9, 10, 12, 13, 14, 17, 24, 25, 10, 11, 12, 13, 14, 19, 20, 21, 22, 23, 26, 27, 11, 12, 13, 14, 16, 18, 19, 20, 21, 22, 24, 25, 26, 27, 13, 14, 15, 16, 19, 20, 21, 22, 23, 24, 26, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 27, 14, 17, 18, 19, 20, 21, 22, 23, 24, 15, 16, 18, 19, 20, 21, 22, 23, 24, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 17, 19, 20, 23, 24, 27, 20, 21, 22, 23, 25, 26, 20, 21, 23, 25, 27, 20, 21, 22, 23, 24, 26, 27, 21, 22, 26, 27, 24, 27, 23, 24, 25, 26, 27, 24, 25, 26, 27, 25, 26, 27}

    Returns: 2

  28. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 26, 26, 26, 27, 28}

    {1, 2, 3, 4, 5, 7, 8, 15, 16, 17, 19, 21, 23, 24, 25, 26, 29, 3, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 19, 21, 22, 23, 24, 26, 27, 28, 29, 3, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 23, 26, 28, 29, 4, 5, 7, 10, 11, 13, 14, 16, 17, 19, 20, 21, 22, 25, 26, 28, 29, 8, 11, 13, 14, 15, 19, 20, 23, 26, 29, 9, 11, 13, 14, 15, 17, 18, 22, 23, 24, 25, 26, 28, 29, 7, 10, 11, 12, 14, 15, 18, 19, 20, 22, 27, 28, 8, 10, 11, 12, 14, 16, 17, 19, 20, 23, 24, 9, 12, 13, 14, 15, 18, 23, 24, 27, 28, 29, 12, 15, 17, 18, 19, 20, 23, 24, 25, 11, 12, 14, 15, 17, 18, 21, 22, 23, 24, 26, 28, 29, 12, 13, 14, 18, 19, 20, 21, 22, 23, 26, 28, 29, 15, 16, 17, 18, 22, 23, 25, 26, 28, 29, 14, 16, 18, 19, 21, 22, 26, 27, 28, 29, 15, 16, 19, 22, 24, 26, 28, 16, 17, 22, 24, 28, 17, 25, 26, 28, 21, 22, 23, 24, 25, 26, 27, 28, 19, 22, 23, 25, 26, 27, 28, 29, 20, 23, 24, 26, 27, 28, 29, 24, 25, 26, 27, 28, 29, 22, 23, 24, 25, 29, 24, 27, 28, 29, 24, 25, 26, 27, 25, 26, 29, 26, 27, 28, 29, 28, 29}

    Returns: 1

  29. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 25, 26, 27}

    {3, 4, 6, 7, 11, 12, 13, 15, 16, 17, 18, 19, 22, 23, 24, 25, 26, 27, 28, 29, 4, 5, 6, 7, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 3, 5, 6, 7, 10, 11, 12, 14, 15, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 5, 6, 7, 9, 10, 13, 14, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 27, 29, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 21, 22, 26, 27, 28, 29, 6, 7, 9, 10, 11, 12, 14, 15, 16, 17, 20, 21, 22, 23, 24, 25, 27, 28, 29, 7, 8, 9, 10, 11, 12, 13, 14, 17, 18, 19, 20, 22, 23, 24, 25, 27, 29, 9, 10, 11, 13, 15, 16, 19, 20, 22, 23, 25, 27, 29, 9, 10, 11, 12, 14, 15, 16, 19, 20, 21, 22, 23, 25, 26, 27, 29, 10, 12, 14, 15, 17, 18, 19, 20, 21, 24, 25, 27, 29, 11, 12, 13, 14, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 12, 13, 14, 15, 18, 22, 25, 26, 29, 14, 17, 18, 19, 20, 22, 23, 25, 26, 27, 28, 29, 14, 15, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 16, 17, 18, 19, 23, 24, 26, 29, 17, 18, 19, 22, 23, 27, 28, 19, 20, 21, 25, 26, 28, 29, 19, 20, 21, 22, 23, 24, 25, 26, 27, 20, 22, 23, 25, 27, 28, 29, 22, 24, 25, 27, 28, 29, 22, 24, 25, 26, 27, 28, 29, 23, 24, 25, 26, 28, 29, 25, 26, 27, 28, 27, 28, 29, 27, 28, 29}

    Returns: 1

  30. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 26, 26, 27}

    {3, 5, 6, 7, 13, 14, 15, 17, 18, 19, 21, 23, 25, 26, 28, 29, 2, 4, 6, 10, 12, 14, 15, 17, 18, 20, 22, 24, 25, 27, 3, 4, 5, 7, 8, 9, 13, 14, 15, 20, 21, 23, 25, 26, 27, 28, 29, 4, 5, 6, 7, 10, 12, 16, 17, 19, 23, 24, 27, 28, 5, 6, 7, 10, 11, 12, 13, 14, 16, 19, 23, 25, 26, 7, 8, 9, 10, 12, 13, 15, 17, 18, 19, 22, 24, 25, 7, 9, 10, 14, 15, 19, 20, 22, 23, 24, 28, 29, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 10, 13, 15, 16, 18, 19, 20, 21, 23, 24, 25, 26, 27, 29, 10, 11, 12, 16, 18, 19, 20, 21, 23, 25, 11, 13, 14, 15, 16, 17, 19, 20, 21, 25, 13, 14, 16, 20, 22, 23, 24, 25, 14, 17, 22, 23, 24, 27, 14, 18, 19, 22, 25, 26, 27, 29, 15, 16, 18, 22, 23, 26, 28, 29, 17, 18, 19, 20, 21, 22, 26, 29, 17, 19, 22, 25, 26, 29, 18, 19, 20, 23, 24, 25, 26, 27, 28, 29, 20, 22, 23, 24, 25, 28, 29, 20, 21, 22, 23, 25, 26, 28, 29, 24, 26, 27, 28, 29, 22, 23, 25, 26, 29, 23, 26, 27, 28, 29, 24, 26, 27, 28, 26, 27, 28, 29, 27, 28, 29, 27, 29, 29}

    Returns: 4

  31. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 21, 22, 22, 22, 22, 23, 24, 26, 26, 28}

    {1, 3, 4, 6, 7, 12, 25, 26, 2, 4, 5, 7, 10, 11, 12, 13, 19, 28, 3, 5, 9, 17, 20, 21, 25, 26, 27, 7, 10, 12, 13, 20, 22, 23, 25, 28, 8, 9, 18, 21, 23, 26, 29, 14, 18, 22, 23, 7, 9, 11, 16, 18, 21, 22, 25, 26, 27, 28, 9, 11, 12, 13, 16, 18, 20, 21, 22, 25, 26, 28, 29, 12, 15, 17, 19, 21, 24, 25, 26, 12, 13, 16, 17, 20, 23, 24, 12, 18, 21, 25, 27, 13, 14, 17, 18, 21, 28, 15, 18, 24, 25, 26, 27, 29, 19, 21, 24, 25, 28, 17, 19, 23, 25, 17, 21, 22, 26, 18, 22, 25, 27, 21, 23, 25, 21, 24, 25, 26, 20, 22, 25, 26, 22, 25, 24, 25, 27, 28, 29, 29, 27, 29, 29}

    Returns: 8

  32. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 26, 27}

    {5, 6, 9, 10, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 2, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 4, 8, 9, 10, 11, 12, 13, 14, 15, 18, 20, 21, 22, 23, 24, 25, 27, 28, 29, 6, 8, 9, 10, 12, 13, 14, 15, 17, 19, 20, 22, 28, 29, 8, 11, 13, 14, 15, 16, 20, 21, 25, 26, 6, 8, 10, 11, 12, 14, 15, 16, 17, 19, 20, 22, 23, 25, 26, 27, 29, 8, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 29, 8, 9, 14, 16, 17, 18, 19, 20, 21, 23, 24, 25, 27, 29, 9, 11, 12, 15, 19, 20, 21, 23, 27, 28, 29, 10, 11, 12, 13, 16, 17, 22, 23, 24, 28, 29, 11, 13, 14, 15, 16, 19, 20, 21, 23, 24, 26, 27, 28, 13, 14, 15, 16, 18, 21, 22, 23, 24, 25, 27, 29, 13, 16, 18, 19, 21, 23, 25, 26, 28, 16, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 15, 16, 18, 19, 20, 24, 25, 27, 28, 16, 17, 20, 23, 25, 26, 27, 29, 17, 19, 20, 21, 24, 25, 26, 27, 28, 21, 22, 23, 24, 25, 26, 29, 20, 21, 23, 25, 27, 28, 29, 21, 23, 26, 27, 29, 23, 24, 26, 27, 29, 22, 27, 28, 29, 23, 24, 25, 26, 27, 28, 29, 24, 25, 29, 28, 29, 27, 28, 29, 27, 28, 29, 29}

    Returns: 6

  33. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 21, 21, 21, 21, 22, 22, 22, 22, 22, 24, 24, 24, 24, 25, 25, 25, 25, 26, 27, 27}

    {1, 2, 3, 4, 6, 12, 13, 15, 18, 20, 21, 22, 24, 25, 27, 28, 29, 2, 3, 4, 10, 12, 14, 18, 19, 20, 22, 24, 27, 28, 3, 4, 5, 10, 11, 14, 15, 16, 17, 20, 23, 24, 26, 28, 5, 6, 7, 8, 12, 14, 16, 22, 24, 25, 27, 28, 29, 5, 6, 7, 8, 12, 14, 16, 17, 23, 27, 29, 9, 10, 13, 15, 18, 21, 22, 24, 25, 28, 8, 9, 10, 11, 12, 13, 15, 17, 19, 22, 27, 29, 8, 9, 10, 13, 14, 15, 16, 17, 18, 22, 23, 24, 25, 27, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 29, 10, 13, 14, 17, 19, 23, 26, 28, 11, 12, 20, 21, 22, 26, 27, 29, 18, 20, 21, 22, 24, 25, 26, 28, 21, 23, 24, 25, 27, 28, 29, 17, 18, 23, 26, 27, 15, 17, 18, 21, 22, 25, 27, 28, 29, 16, 17, 18, 21, 22, 23, 24, 25, 28, 29, 19, 20, 22, 24, 26, 28, 29, 18, 19, 20, 21, 23, 26, 19, 21, 23, 25, 27, 29, 21, 23, 24, 26, 29, 24, 25, 26, 27, 23, 24, 25, 28, 29, 25, 26, 27, 28, 26, 27, 28, 29, 27, 28, 29}

    Returns: 1

  34. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 25}

    {1, 2, 5, 6, 8, 9, 11, 12, 19, 21, 22, 24, 26, 28, 29, 2, 3, 5, 6, 7, 10, 12, 13, 14, 17, 21, 23, 26, 29, 4, 7, 8, 9, 11, 16, 17, 23, 4, 5, 8, 9, 13, 15, 16, 19, 24, 25, 26, 28, 29, 5, 11, 13, 16, 22, 23, 24, 7, 10, 14, 18, 20, 21, 22, 26, 27, 29, 7, 8, 10, 11, 13, 14, 17, 19, 21, 22, 25, 26, 28, 8, 9, 10, 12, 17, 21, 25, 29, 9, 13, 14, 15, 19, 20, 21, 23, 26, 29, 13, 14, 17, 21, 24, 26, 29, 12, 15, 16, 19, 21, 23, 24, 29, 15, 17, 25, 27, 16, 20, 21, 22, 23, 24, 25, 15, 19, 20, 22, 23, 26, 27, 28, 15, 20, 21, 22, 25, 26, 27, 29, 16, 17, 18, 19, 20, 27, 28, 29, 20, 23, 24, 29, 18, 21, 22, 24, 25, 26, 27, 28, 29, 23, 26, 27, 28, 21, 28, 29, 21, 23, 24, 25, 27, 28, 25, 26, 27, 24, 25, 28, 24, 26, 27, 28, 29, 26, 27, 29, 27, 28, 29}

    Returns: 3

  35. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 26, 26, 26}

    {1, 3, 4, 7, 8, 10, 11, 12, 14, 19, 21, 23, 25, 27, 29, 6, 7, 8, 9, 11, 14, 15, 18, 21, 22, 23, 24, 29, 5, 6, 7, 9, 13, 14, 15, 16, 17, 18, 22, 23, 24, 29, 5, 6, 7, 10, 16, 19, 21, 23, 25, 26, 28, 6, 8, 10, 11, 20, 21, 23, 24, 26, 27, 28, 29, 8, 9, 10, 11, 12, 13, 14, 17, 18, 19, 20, 21, 24, 25, 27, 29, 9, 10, 13, 14, 16, 20, 22, 23, 25, 27, 28, 29, 10, 12, 14, 15, 16, 19, 20, 21, 23, 25, 26, 28, 9, 21, 22, 24, 25, 28, 10, 11, 12, 15, 19, 20, 22, 25, 29, 11, 12, 13, 16, 17, 19, 20, 22, 25, 26, 28, 13, 14, 16, 18, 19, 21, 23, 24, 25, 27, 28, 29, 15, 16, 19, 20, 21, 22, 23, 24, 25, 28, 14, 15, 16, 18, 19, 20, 21, 22, 24, 28, 15, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 29, 16, 19, 20, 21, 22, 23, 24, 25, 27, 29, 17, 19, 20, 21, 23, 24, 25, 28, 18, 21, 25, 26, 27, 19, 20, 22, 23, 27, 29, 21, 25, 26, 28, 29, 21, 25, 26, 29, 22, 27, 28, 24, 28, 29, 24, 26, 28, 29, 25, 27, 28, 29, 27, 29, 27, 28, 29}

    Returns: 1

  36. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 21, 21, 22, 22, 22, 23, 23, 24, 24, 25, 27, 28}

    {2, 8, 9, 10, 15, 18, 19, 20, 26, 27, 28, 4, 5, 7, 9, 10, 12, 15, 17, 18, 19, 23, 25, 5, 7, 12, 14, 25, 4, 10, 13, 14, 24, 25, 27, 28, 29, 6, 13, 14, 15, 19, 22, 24, 26, 27, 6, 10, 12, 16, 17, 19, 20, 21, 26, 12, 13, 14, 18, 20, 22, 23, 24, 10, 13, 17, 18, 19, 22, 23, 28, 9, 19, 21, 23, 24, 25, 29, 11, 12, 22, 25, 26, 29, 12, 16, 17, 20, 22, 25, 29, 14, 17, 19, 21, 22, 23, 15, 21, 14, 16, 18, 19, 20, 28, 29, 15, 16, 17, 19, 27, 29, 20, 21, 22, 25, 26, 20, 21, 22, 27, 22, 23, 26, 19, 21, 23, 24, 25, 27, 28, 20, 21, 24, 27, 22, 23, 24, 28, 25, 28, 29, 24, 25, 25, 27, 27, 29, 29}

    Returns: 3

  37. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 25, 26, 27, 28}

    {1, 2, 3, 4, 5, 6, 7, 8, 10, 11, 12, 16, 17, 18, 19, 20, 21, 23, 24, 27, 28, 29, 3, 4, 5, 8, 10, 12, 13, 15, 16, 17, 18, 19, 20, 22, 23, 26, 27, 29, 3, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 19, 22, 23, 25, 27, 28, 29, 4, 5, 8, 9, 10, 12, 13, 16, 17, 18, 20, 21, 23, 27, 28, 29, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 19, 20, 21, 23, 24, 26, 27, 28, 29, 7, 11, 12, 13, 14, 15, 17, 18, 19, 22, 24, 25, 26, 27, 29, 7, 8, 9, 10, 13, 15, 16, 20, 21, 26, 8, 10, 11, 12, 13, 15, 16, 18, 19, 21, 23, 24, 25, 27, 28, 29, 10, 11, 13, 14, 16, 17, 18, 20, 21, 22, 25, 26, 27, 29, 11, 12, 15, 16, 17, 19, 21, 23, 25, 26, 28, 11, 12, 13, 14, 15, 17, 18, 20, 21, 23, 24, 25, 28, 29, 12, 13, 14, 15, 16, 17, 18, 21, 23, 24, 26, 27, 28, 29, 13, 14, 15, 17, 18, 21, 23, 24, 26, 28, 29, 14, 15, 16, 17, 18, 20, 22, 24, 26, 28, 15, 16, 18, 20, 22, 23, 24, 25, 26, 27, 28, 16, 20, 21, 23, 25, 26, 27, 28, 18, 19, 20, 22, 23, 24, 26, 21, 23, 25, 26, 27, 28, 29, 19, 20, 23, 24, 27, 28, 29, 20, 21, 22, 23, 25, 27, 28, 29, 21, 22, 25, 22, 23, 25, 26, 29, 23, 24, 25, 28, 29, 26, 27, 28, 29, 26, 27, 28, 29, 26, 27, 28, 29, 27, 28, 29}

    Returns: 4

  38. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 26, 27}

    {1, 3, 4, 5, 6, 11, 13, 15, 16, 17, 23, 24, 2, 4, 8, 11, 12, 14, 16, 19, 22, 26, 27, 28, 3, 4, 5, 6, 7, 8, 9, 11, 16, 17, 20, 22, 28, 29, 5, 6, 8, 12, 13, 15, 16, 17, 18, 19, 21, 22, 24, 6, 8, 10, 12, 16, 17, 21, 23, 24, 25, 26, 28, 29, 8, 14, 15, 16, 18, 19, 20, 22, 25, 26, 7, 9, 11, 16, 18, 19, 20, 23, 25, 26, 27, 9, 15, 18, 20, 23, 9, 14, 18, 19, 23, 27, 13, 14, 19, 21, 23, 24, 25, 28, 11, 18, 19, 21, 22, 26, 27, 29, 14, 15, 16, 17, 19, 22, 23, 25, 28, 29, 13, 15, 16, 17, 19, 24, 25, 26, 28, 29, 18, 26, 17, 22, 24, 26, 28, 29, 19, 20, 22, 23, 26, 28, 20, 22, 23, 25, 19, 21, 22, 23, 25, 28, 28, 20, 21, 26, 27, 29, 21, 22, 23, 26, 27, 28, 23, 25, 28, 23, 24, 25, 26, 28, 25, 28, 26, 27, 27, 28, 28}

    Returns: 1

  39. 30

    {0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 23, 25, 27}

    {5, 13, 15, 22, 23, 27, 28, 6, 10, 12, 16, 17, 20, 22, 24, 25, 29, 5, 7, 10, 12, 16, 19, 24, 25, 5, 6, 14, 17, 18, 5, 10, 12, 14, 19, 21, 22, 24, 25, 7, 9, 18, 19, 24, 11, 12, 23, 24, 25, 27, 18, 20, 21, 23, 27, 10, 11, 14, 18, 25, 26, 10, 15, 27, 13, 21, 23, 26, 12, 19, 26, 13, 14, 21, 23, 29, 16, 24, 26, 29, 16, 23, 27, 28, 16, 20, 27, 19, 27, 28, 19, 22, 23, 26, 27, 22, 23, 24, 22, 23, 23, 26, 27, 23, 24, 28, 29, 23, 29, 24, 28, 28}

    Returns: 10

  40. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 26, 27, 28}

    {1, 2, 3, 7, 9, 12, 14, 16, 18, 19, 20, 25, 27, 3, 7, 9, 13, 14, 15, 20, 21, 26, 29, 7, 10, 11, 12, 13, 17, 21, 22, 4, 6, 8, 9, 10, 13, 14, 15, 17, 19, 20, 23, 24, 26, 27, 28, 5, 7, 8, 10, 13, 14, 15, 16, 20, 24, 27, 6, 7, 10, 11, 13, 17, 19, 20, 22, 23, 24, 26, 27, 28, 7, 8, 10, 11, 15, 16, 17, 22, 24, 27, 8, 10, 11, 12, 13, 14, 19, 21, 22, 27, 12, 14, 16, 17, 18, 20, 22, 23, 24, 25, 26, 27, 10, 11, 15, 19, 24, 25, 26, 28, 29, 12, 17, 21, 22, 23, 25, 26, 27, 13, 15, 16, 18, 19, 24, 26, 28, 16, 18, 21, 24, 27, 28, 17, 21, 23, 25, 26, 29, 16, 18, 20, 21, 17, 19, 20, 22, 25, 26, 29, 17, 21, 25, 27, 28, 29, 18, 23, 24, 25, 26, 27, 29, 22, 26, 28, 20, 22, 23, 29, 23, 26, 28, 29, 22, 23, 24, 26, 27, 28, 23, 25, 26, 27, 29, 26, 27, 29, 26, 27, 27, 29, 29}

    Returns: 4

  41. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 22, 22, 23, 23, 24, 24, 24, 24, 25, 26, 27}

    {6, 7, 8, 17, 18, 23, 24, 25, 27, 4, 7, 11, 12, 17, 18, 21, 23, 27, 28, 29, 4, 7, 10, 14, 16, 17, 18, 20, 21, 23, 27, 28, 29, 4, 13, 14, 17, 18, 22, 29, 5, 11, 17, 18, 19, 20, 24, 25, 29, 9, 19, 20, 21, 22, 24, 28, 16, 17, 18, 20, 29, 10, 11, 13, 14, 17, 19, 20, 23, 28, 11, 14, 26, 12, 15, 22, 23, 27, 28, 29, 12, 16, 17, 18, 20, 21, 22, 26, 13, 18, 20, 21, 23, 24, 26, 27, 28, 29, 13, 17, 18, 19, 23, 25, 16, 24, 25, 27, 28, 18, 19, 22, 24, 26, 16, 17, 19, 23, 26, 29, 18, 20, 21, 25, 26, 28, 19, 20, 22, 24, 25, 27, 29, 23, 24, 26, 29, 21, 25, 27, 28, 22, 23, 24, 26, 27, 29, 22, 25, 23, 28, 28, 29, 26, 27, 28, 29, 27, 27, 29}

    Returns: 2

  42. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 26, 28}

    {1, 3, 4, 6, 10, 12, 14, 15, 16, 17, 18, 20, 21, 22, 23, 25, 27, 3, 6, 7, 8, 9, 13, 16, 20, 21, 22, 23, 24, 25, 26, 29, 5, 6, 7, 9, 11, 12, 14, 15, 16, 17, 18, 21, 22, 25, 28, 29, 5, 7, 9, 11, 12, 13, 14, 17, 19, 20, 23, 26, 27, 8, 9, 10, 12, 13, 14, 16, 17, 20, 21, 23, 25, 26, 27, 7, 12, 14, 15, 16, 18, 19, 20, 21, 23, 24, 25, 28, 29, 10, 12, 13, 14, 16, 17, 18, 19, 20, 24, 29, 10, 11, 12, 13, 15, 17, 18, 20, 22, 23, 24, 28, 10, 14, 15, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 18, 19, 21, 22, 23, 25, 11, 12, 13, 21, 23, 24, 25, 26, 27, 28, 29, 13, 14, 18, 22, 23, 27, 13, 14, 15, 17, 18, 20, 23, 24, 26, 28, 29, 15, 16, 17, 18, 19, 20, 21, 25, 26, 27, 28, 15, 16, 18, 22, 23, 24, 26, 17, 18, 20, 22, 23, 26, 27, 28, 29, 17, 18, 20, 21, 23, 25, 26, 27, 28, 18, 21, 22, 24, 27, 28, 20, 22, 24, 27, 28, 29, 20, 22, 28, 22, 24, 25, 27, 29, 23, 25, 27, 23, 24, 25, 28, 29, 24, 25, 26, 28, 25, 28, 28, 29, 27, 29}

    Returns: 2

  43. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 17, 17, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 24, 24, 25, 25, 25}

    {1, 2, 6, 7, 11, 12, 17, 22, 29, 6, 11, 12, 18, 19, 21, 26, 28, 3, 5, 21, 25, 26, 29, 10, 13, 19, 21, 22, 26, 28, 5, 7, 12, 18, 23, 27, 28, 14, 21, 29, 7, 14, 17, 18, 26, 29, 8, 9, 15, 20, 27, 11, 16, 17, 18, 24, 27, 28, 13, 24, 28, 11, 26, 28, 29, 12, 17, 18, 19, 25, 26, 13, 15, 28, 29, 15, 17, 18, 22, 23, 25, 27, 28, 19, 21, 23, 24, 28, 22, 25, 20, 21, 18, 19, 23, 25, 28, 19, 21, 27, 23, 28, 22, 24, 29, 22, 25, 26, 25, 28, 24, 25, 27, 28, 26, 27, 29}

    Returns: 1

  44. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 17, 18, 18, 18, 18, 18, 18, 19, 20, 20, 21, 22, 22, 22, 22, 23, 23, 24, 25, 26, 27}

    {1, 3, 5, 7, 8, 11, 24, 26, 27, 28, 2, 9, 10, 13, 14, 15, 16, 23, 24, 4, 5, 7, 9, 12, 13, 14, 19, 23, 24, 26, 6, 7, 9, 12, 15, 18, 19, 21, 24, 7, 21, 22, 26, 28, 6, 9, 10, 13, 25, 29, 11, 12, 16, 17, 18, 16, 21, 22, 27, 10, 15, 23, 26, 28, 29, 13, 15, 24, 25, 11, 21, 23, 27, 13, 18, 21, 23, 26, 28, 29, 15, 18, 20, 22, 25, 26, 27, 14, 22, 26, 27, 16, 19, 21, 22, 25, 29, 18, 20, 24, 26, 27, 23, 24, 25, 22, 20, 21, 24, 25, 28, 29, 23, 21, 23, 22, 23, 24, 26, 29, 25, 28, 25, 27, 28, 29}

    Returns: 1

  45. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 25, 26, 26, 27}

    {1, 2, 5, 7, 8, 9, 10, 13, 14, 15, 16, 17, 19, 20, 21, 24, 25, 26, 27, 28, 29, 4, 5, 7, 8, 9, 10, 11, 12, 13, 16, 17, 18, 21, 22, 23, 25, 26, 28, 29, 3, 4, 6, 7, 8, 9, 10, 11, 13, 15, 16, 17, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 4, 6, 7, 10, 11, 12, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 24, 25, 27, 28, 29, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 18, 19, 22, 23, 24, 25, 28, 29, 7, 8, 9, 10, 12, 13, 14, 16, 18, 20, 21, 22, 23, 24, 25, 27, 8, 10, 11, 12, 13, 14, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 29, 10, 12, 17, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 11, 12, 14, 16, 17, 18, 19, 20, 22, 23, 24, 27, 28, 29, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 12, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 29, 13, 14, 15, 17, 19, 20, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 18, 19, 20, 22, 23, 25, 27, 28, 16, 17, 18, 19, 20, 21, 22, 26, 27, 28, 29, 17, 18, 19, 20, 21, 22, 23, 24, 26, 28, 29, 18, 19, 20, 21, 22, 24, 25, 26, 27, 29, 18, 20, 21, 22, 25, 28, 29, 19, 21, 22, 23, 24, 26, 27, 29, 21, 22, 23, 24, 25, 27, 28, 29, 21, 22, 23, 24, 25, 26, 27, 28, 29, 23, 24, 25, 26, 27, 28, 29, 23, 24, 29, 24, 25, 27, 29, 25, 26, 27, 28, 26, 27, 29, 28, 29, 29}

    Returns: 1

  46. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 21, 22, 22, 22, 23, 23, 24, 26, 26, 28}

    {4, 5, 14, 15, 19, 21, 25, 27, 3, 4, 17, 18, 19, 22, 24, 27, 29, 5, 11, 19, 25, 27, 6, 8, 11, 15, 18, 21, 6, 14, 16, 18, 19, 20, 22, 23, 26, 27, 7, 10, 13, 14, 25, 27, 8, 18, 19, 20, 26, 12, 14, 23, 25, 27, 9, 10, 11, 13, 14, 16, 25, 28, 10, 11, 13, 15, 23, 26, 11, 14, 16, 21, 23, 24, 12, 16, 17, 20, 21, 26, 18, 21, 16, 19, 25, 27, 28, 15, 16, 16, 18, 19, 20, 23, 25, 29, 19, 21, 22, 25, 28, 19, 24, 19, 20, 22, 27, 28, 29, 20, 23, 24, 26, 27, 29, 26, 26, 23, 26, 28, 27, 29, 28, 27, 29, 29}

    Returns: 5

  47. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28}

    {2, 3, 4, 5, 6, 7, 8, 9, 11, 15, 17, 18, 19, 22, 27, 28, 3, 4, 5, 6, 9, 10, 11, 12, 13, 15, 18, 19, 20, 22, 24, 26, 27, 4, 6, 7, 8, 10, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 25, 26, 27, 29, 4, 5, 6, 7, 10, 11, 12, 13, 16, 17, 18, 19, 20, 21, 22, 23, 25, 28, 5, 6, 7, 8, 9, 11, 12, 15, 16, 17, 18, 19, 20, 23, 26, 27, 28, 6, 8, 9, 10, 11, 15, 16, 19, 20, 22, 23, 25, 27, 29, 8, 9, 10, 11, 12, 13, 14, 16, 17, 18, 21, 22, 23, 24, 25, 26, 27, 29, 8, 9, 10, 11, 12, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 26, 27, 28, 29, 9, 10, 11, 12, 14, 15, 16, 17, 18, 20, 21, 22, 24, 26, 29, 10, 11, 13, 14, 15, 16, 17, 18, 19, 21, 22, 25, 26, 27, 28, 29, 11, 12, 14, 16, 17, 18, 19, 21, 23, 24, 25, 26, 28, 12, 13, 14, 17, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 13, 14, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 15, 17, 18, 20, 22, 23, 24, 25, 26, 27, 28, 29, 17, 18, 20, 22, 25, 26, 27, 28, 29, 16, 18, 19, 21, 22, 25, 26, 28, 29, 17, 18, 19, 20, 21, 23, 24, 27, 28, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 19, 20, 22, 23, 26, 27, 28, 29, 22, 23, 24, 27, 28, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 24, 26, 27, 28, 24, 25, 26, 27, 24, 25, 26, 27, 28, 26, 28, 29, 26, 27, 27, 28, 29, 28, 29, 29}

    Returns: 3

  48. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 14, 14, 14, 14, 14, 15, 15, 16, 16, 16, 16, 17, 18, 18, 18, 18, 18, 19, 19, 19, 20, 21, 21, 22, 22, 22, 23, 24, 27}

    {1, 9, 12, 13, 17, 18, 19, 22, 29, 5, 6, 8, 13, 16, 18, 19, 22, 24, 27, 29, 8, 11, 17, 21, 28, 29, 8, 10, 13, 14, 19, 22, 8, 24, 26, 27, 29, 8, 14, 17, 19, 26, 8, 9, 10, 11, 14, 17, 24, 29, 14, 16, 19, 21, 22, 25, 29, 10, 12, 13, 14, 15, 16, 19, 21, 27, 11, 19, 20, 21, 26, 13, 16, 17, 21, 23, 24, 25, 26, 27, 28, 12, 14, 16, 18, 24, 26, 27, 14, 20, 24, 15, 19, 17, 22, 23, 24, 29, 19, 21, 17, 22, 27, 28, 26, 19, 22, 24, 26, 28, 23, 26, 27, 25, 24, 29, 23, 25, 29, 28, 27, 28}

    Returns: 12

  49. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 18, 18, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 24, 25, 25, 26, 27, 27}

    {1, 6, 8, 16, 17, 19, 26, 28, 29, 8, 10, 11, 14, 17, 23, 25, 26, 27, 28, 5, 8, 9, 14, 15, 19, 21, 23, 24, 26, 29, 5, 11, 12, 15, 16, 19, 23, 24, 25, 27, 28, 5, 6, 9, 13, 19, 21, 26, 27, 6, 9, 12, 13, 14, 17, 19, 20, 23, 25, 26, 27, 28, 9, 11, 13, 17, 23, 28, 9, 10, 12, 13, 14, 20, 21, 22, 24, 28, 11, 12, 14, 16, 18, 19, 20, 21, 22, 23, 27, 29, 10, 14, 17, 19, 24, 25, 27, 28, 12, 14, 15, 16, 17, 19, 20, 23, 26, 27, 28, 29, 13, 25, 26, 27, 29, 14, 15, 19, 20, 21, 26, 27, 29, 15, 16, 17, 20, 21, 24, 25, 29, 15, 16, 17, 18, 19, 22, 28, 29, 18, 22, 23, 24, 25, 28, 17, 21, 24, 25, 27, 29, 18, 19, 20, 19, 24, 25, 28, 29, 21, 26, 21, 22, 24, 26, 29, 26, 28, 29, 25, 26, 28, 25, 26, 28, 25, 26, 26, 28, 27, 28, 29}

    Returns: 1

  50. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 24, 24, 25, 25, 25, 25, 26, 27, 27, 28}

    {1, 2, 3, 4, 6, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 29, 4, 5, 6, 7, 8, 9, 11, 15, 18, 19, 20, 21, 24, 26, 29, 3, 4, 5, 6, 8, 9, 11, 12, 14, 15, 17, 19, 20, 23, 24, 25, 26, 28, 6, 7, 8, 9, 10, 11, 13, 15, 17, 18, 21, 22, 23, 25, 26, 28, 29, 6, 7, 8, 9, 10, 15, 16, 18, 20, 21, 24, 26, 28, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 17, 19, 21, 24, 25, 27, 29, 8, 10, 11, 12, 13, 15, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 8, 9, 11, 12, 14, 16, 17, 20, 21, 22, 23, 24, 26, 27, 9, 10, 11, 13, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 26, 28, 29, 10, 11, 12, 16, 17, 19, 21, 26, 28, 11, 15, 16, 19, 20, 23, 24, 27, 28, 29, 12, 13, 14, 15, 16, 17, 18, 20, 22, 23, 24, 26, 28, 29, 13, 14, 16, 17, 19, 20, 21, 23, 25, 27, 28, 29, 14, 15, 16, 17, 18, 20, 22, 23, 25, 27, 28, 29, 15, 16, 18, 21, 23, 24, 25, 26, 27, 16, 19, 21, 25, 26, 27, 29, 18, 21, 24, 26, 27, 29, 18, 19, 22, 23, 24, 25, 26, 28, 29, 19, 21, 22, 24, 25, 26, 27, 28, 21, 25, 26, 27, 28, 29, 21, 22, 23, 27, 28, 29, 22, 23, 24, 25, 28, 29, 24, 25, 26, 27, 28, 24, 26, 26, 27, 26, 27, 28, 29, 29, 28, 29, 29}

    Returns: 1

  51. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 12, 12, 13, 13, 13, 14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 18, 18, 18, 19, 19, 20, 20, 21, 22, 23, 23, 23, 23, 25, 25, 26}

    {1, 2, 5, 6, 9, 14, 15, 17, 23, 27, 28, 8, 9, 12, 29, 3, 4, 8, 10, 11, 13, 14, 15, 17, 18, 21, 22, 23, 29, 8, 11, 14, 16, 17, 20, 25, 7, 13, 16, 17, 20, 21, 22, 23, 24, 6, 11, 13, 14, 16, 20, 23, 7, 10, 12, 13, 16, 21, 25, 13, 17, 20, 22, 26, 27, 28, 14, 16, 17, 19, 24, 25, 27, 28, 11, 12, 15, 16, 17, 20, 25, 28, 13, 14, 17, 18, 29, 20, 21, 26, 27, 19, 20, 15, 17, 28, 21, 25, 18, 28, 18, 20, 21, 22, 26, 28, 20, 24, 28, 20, 24, 27, 23, 27, 27, 28, 22, 24, 24, 26, 27, 28, 27, 28, 27}

    Returns: 3

  52. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 25, 25, 25, 25, 26, 27, 27}

    {4, 8, 12, 13, 14, 15, 16, 24, 26, 27, 28, 29, 4, 6, 7, 8, 9, 10, 11, 12, 14, 15, 16, 24, 3, 4, 6, 9, 10, 15, 26, 28, 5, 6, 9, 10, 12, 15, 16, 17, 23, 24, 25, 26, 28, 29, 6, 10, 12, 14, 15, 16, 17, 18, 20, 24, 25, 29, 7, 8, 9, 10, 13, 19, 20, 22, 26, 28, 13, 15, 16, 17, 18, 19, 20, 22, 25, 29, 10, 11, 14, 15, 16, 17, 22, 24, 25, 28, 9, 16, 17, 22, 25, 28, 13, 14, 15, 20, 22, 24, 25, 27, 28, 12, 15, 16, 17, 19, 20, 21, 22, 24, 25, 19, 21, 22, 27, 29, 19, 20, 21, 22, 23, 24, 25, 27, 18, 24, 26, 28, 15, 18, 20, 21, 24, 25, 16, 23, 24, 27, 28, 18, 22, 26, 27, 29, 19, 20, 21, 23, 27, 29, 19, 22, 24, 25, 21, 23, 26, 29, 22, 24, 25, 26, 28, 22, 24, 25, 27, 29, 24, 25, 27, 28, 27, 29, 27, 29, 26, 27, 28, 29, 28, 28, 29}

    Returns: 4

  53. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 19, 20, 20, 22, 22, 22, 23, 24, 24, 24, 25, 26}

    {2, 3, 5, 9, 11, 14, 15, 18, 21, 22, 25, 27, 28, 8, 11, 18, 22, 25, 28, 8, 11, 15, 16, 17, 20, 23, 25, 26, 29, 4, 6, 9, 12, 14, 17, 18, 24, 27, 29, 7, 11, 27, 13, 16, 19, 20, 21, 26, 7, 12, 13, 18, 23, 25, 10, 13, 16, 18, 20, 22, 24, 25, 26, 28, 29, 10, 12, 15, 18, 20, 26, 12, 14, 15, 23, 24, 25, 26, 29, 12, 14, 16, 18, 23, 15, 16, 17, 18, 22, 23, 28, 18, 21, 14, 16, 17, 18, 19, 21, 22, 24, 27, 15, 16, 18, 19, 25, 26, 16, 18, 27, 28, 21, 25, 26, 27, 18, 25, 28, 29, 19, 24, 27, 28, 29, 23, 27, 28, 25, 26, 28, 29, 27, 29}

    Returns: 1

  54. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 25, 25, 26, 27}

    {1, 2, 4, 8, 9, 10, 12, 13, 14, 15, 18, 19, 21, 23, 24, 25, 26, 27, 29, 5, 9, 10, 11, 13, 19, 22, 23, 3, 7, 8, 11, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 26, 27, 4, 6, 7, 8, 11, 14, 15, 16, 17, 19, 21, 22, 24, 25, 27, 28, 9, 10, 12, 16, 17, 20, 21, 22, 23, 24, 25, 26, 28, 6, 10, 12, 13, 15, 16, 17, 22, 23, 25, 27, 7, 9, 11, 12, 13, 14, 15, 16, 22, 28, 29, 9, 12, 13, 17, 18, 22, 27, 28, 29, 10, 11, 13, 14, 16, 17, 23, 24, 27, 10, 12, 14, 15, 17, 18, 20, 21, 23, 24, 25, 26, 27, 29, 11, 15, 16, 17, 20, 21, 23, 27, 29, 13, 15, 18, 20, 23, 24, 26, 27, 28, 29, 18, 19, 23, 15, 19, 22, 23, 26, 27, 15, 16, 18, 20, 21, 22, 26, 29, 16, 17, 18, 21, 25, 29, 19, 22, 25, 26, 27, 28, 29, 21, 22, 24, 25, 28, 29, 19, 20, 21, 24, 25, 26, 28, 29, 21, 24, 25, 27, 28, 29, 22, 23, 24, 26, 27, 22, 23, 26, 23, 26, 27, 26, 27, 28, 27, 29, 27, 29}

    Returns: 4

  55. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 25, 26, 26, 26, 27, 27}

    {1, 2, 8, 11, 12, 13, 14, 16, 17, 18, 21, 23, 24, 25, 26, 28, 29, 2, 4, 6, 7, 9, 10, 11, 13, 14, 15, 17, 21, 23, 25, 26, 27, 4, 5, 6, 7, 8, 9, 10, 11, 13, 15, 16, 18, 21, 22, 23, 25, 26, 27, 4, 5, 14, 16, 17, 18, 19, 20, 23, 24, 25, 26, 6, 8, 9, 10, 11, 12, 14, 15, 21, 23, 24, 27, 28, 6, 8, 13, 15, 17, 18, 19, 20, 21, 23, 25, 28, 29, 8, 10, 11, 12, 14, 15, 16, 17, 20, 22, 23, 25, 26, 28, 29, 9, 10, 11, 12, 13, 14, 15, 16, 17, 21, 24, 26, 27, 28, 9, 10, 11, 12, 13, 14, 15, 16, 19, 20, 21, 22, 27, 28, 29, 11, 13, 14, 16, 18, 19, 20, 21, 22, 23, 25, 27, 28, 29, 11, 12, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 12, 15, 17, 18, 21, 23, 28, 29, 14, 15, 16, 18, 19, 21, 25, 26, 27, 28, 14, 22, 23, 24, 25, 29, 17, 19, 20, 21, 23, 24, 25, 27, 29, 16, 21, 22, 24, 25, 26, 27, 29, 17, 18, 19, 20, 21, 24, 25, 27, 18, 19, 21, 22, 23, 26, 27, 29, 20, 21, 22, 24, 27, 28, 20, 21, 23, 24, 25, 26, 28, 29, 22, 23, 24, 26, 27, 29, 23, 24, 25, 26, 27, 23, 24, 27, 24, 25, 26, 27, 28, 29, 25, 26, 27, 29, 28, 27, 28, 29, 28, 29}

    Returns: 5

  56. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 24, 25, 25, 25, 26, 26, 27, 28}

    {2, 3, 9, 10, 11, 13, 16, 17, 19, 25, 26, 27, 28, 2, 3, 5, 7, 10, 12, 13, 15, 16, 17, 18, 19, 20, 21, 23, 24, 29, 4, 5, 8, 9, 12, 14, 15, 16, 17, 18, 21, 22, 23, 25, 26, 28, 4, 6, 9, 11, 14, 16, 18, 21, 24, 25, 26, 27, 28, 29, 5, 6, 7, 8, 9, 10, 11, 12, 13, 17, 18, 19, 20, 21, 22, 24, 26, 28, 29, 7, 8, 9, 11, 12, 13, 15, 17, 20, 21, 26, 27, 28, 29, 8, 9, 12, 16, 17, 18, 20, 21, 22, 24, 27, 28, 8, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 9, 10, 11, 13, 14, 15, 16, 17, 19, 21, 24, 25, 27, 28, 29, 11, 12, 14, 15, 18, 19, 20, 21, 22, 23, 25, 13, 14, 16, 17, 18, 20, 21, 23, 24, 25, 26, 27, 12, 13, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 13, 15, 16, 17, 19, 20, 21, 24, 26, 27, 28, 15, 17, 18, 23, 24, 25, 26, 28, 29, 15, 16, 17, 19, 20, 23, 24, 25, 26, 28, 29, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 17, 18, 19, 21, 22, 23, 24, 26, 27, 28, 29, 18, 20, 21, 22, 23, 24, 25, 27, 29, 20, 21, 22, 23, 25, 26, 29, 21, 22, 23, 24, 22, 24, 28, 29, 23, 24, 25, 26, 27, 28, 24, 25, 26, 28, 29, 24, 25, 26, 25, 27, 28, 26, 27, 28, 27, 29, 28, 29}

    Returns: 1

  57. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 19, 19, 20, 20, 20, 21, 21, 21, 21, 22, 22, 23, 23, 26, 26, 26}

    {2, 3, 9, 10, 19, 20, 22, 27, 9, 10, 12, 17, 21, 24, 25, 26, 27, 29, 3, 4, 8, 9, 13, 14, 17, 19, 23, 25, 26, 5, 10, 14, 17, 25, 26, 5, 11, 16, 19, 22, 24, 9, 12, 14, 15, 18, 23, 26, 27, 8, 10, 11, 13, 14, 16, 20, 23, 26, 28, 12, 13, 17, 19, 23, 25, 27, 29, 9, 10, 13, 16, 18, 19, 21, 23, 26, 10, 11, 13, 16, 17, 20, 21, 23, 25, 15, 19, 20, 16, 19, 20, 23, 24, 26, 28, 14, 19, 21, 27, 29, 14, 21, 24, 25, 15, 17, 21, 23, 24, 26, 17, 22, 23, 24, 26, 29, 17, 19, 20, 27, 21, 24, 27, 28, 21, 22, 27, 25, 28, 29, 24, 26, 27, 28, 24, 26, 27, 29, 27, 28, 29}

    Returns: 3

  58. 30

    {0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 11, 11, 11, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 18, 18, 19, 20, 20, 20, 20, 21, 22, 22, 22, 23, 23, 23, 24, 24, 25, 27, 27}

    {10, 12, 14, 27, 29, 6, 8, 11, 19, 23, 24, 28, 29, 4, 5, 6, 8, 11, 17, 21, 23, 24, 26, 27, 4, 9, 11, 13, 16, 17, 20, 22, 26, 29, 5, 14, 15, 23, 25, 27, 6, 9, 16, 27, 29, 8, 12, 13, 22, 25, 8, 14, 19, 21, 23, 28, 15, 20, 23, 13, 14, 15, 16, 17, 19, 26, 27, 25, 22, 28, 29, 26, 14, 17, 20, 22, 25, 28, 23, 26, 28, 22, 26, 27, 20, 24, 25, 27, 20, 23, 22, 29, 28, 21, 24, 28, 29, 27, 24, 28, 29, 24, 26, 28, 25, 28, 27, 28, 29}

    Returns: 4

  59. 30

    {0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 19, 21, 22, 22, 22, 23, 23, 24, 24, 25, 26, 26, 27}

    {9, 10, 14, 19, 23, 29, 2, 3, 6, 7, 10, 18, 19, 22, 25, 29, 4, 7, 10, 14, 17, 21, 22, 12, 16, 19, 20, 24, 29, 11, 12, 18, 21, 17, 19, 23, 26, 7, 8, 9, 14, 20, 22, 26, 28, 11, 12, 16, 21, 25, 29, 11, 23, 26, 27, 10, 13, 14, 18, 21, 23, 24, 28, 14, 20, 29, 17, 18, 21, 22, 25, 29, 14, 19, 24, 25, 28, 14, 26, 15, 20, 18, 21, 18, 20, 26, 18, 25, 27, 29, 19, 21, 26, 28, 23, 24, 29, 24, 29, 27, 28, 26, 27, 29, 29}

    Returns: 1

  60. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 23, 23, 23, 24, 25, 25, 25, 26, 26, 27, 28}

    {2, 8, 9, 12, 13, 15, 21, 22, 25, 26, 27, 28, 2, 3, 4, 7, 10, 11, 12, 13, 15, 19, 20, 22, 23, 27, 28, 29, 4, 5, 6, 8, 9, 11, 12, 14, 19, 20, 21, 23, 24, 29, 4, 5, 6, 10, 11, 12, 13, 14, 16, 20, 21, 22, 23, 24, 26, 27, 29, 6, 7, 10, 13, 14, 16, 17, 18, 19, 21, 23, 24, 25, 26, 27, 6, 9, 10, 11, 12, 13, 14, 16, 17, 18, 21, 25, 28, 29, 8, 9, 10, 13, 14, 15, 17, 19, 21, 22, 23, 24, 26, 27, 8, 10, 11, 12, 13, 14, 15, 19, 21, 23, 24, 25, 28, 11, 12, 14, 17, 18, 19, 20, 22, 24, 25, 26, 27, 28, 29, 13, 15, 18, 19, 20, 23, 25, 26, 27, 11, 12, 14, 15, 17, 18, 19, 20, 22, 27, 28, 12, 19, 20, 21, 22, 24, 26, 28, 13, 14, 16, 17, 20, 21, 22, 23, 24, 27, 29, 17, 18, 19, 20, 22, 23, 25, 26, 27, 29, 15, 16, 17, 18, 20, 21, 23, 24, 25, 26, 17, 20, 21, 22, 26, 27, 28, 17, 18, 19, 20, 21, 22, 23, 25, 18, 19, 20, 21, 22, 23, 24, 25, 28, 19, 20, 21, 22, 26, 27, 29, 23, 24, 25, 26, 28, 29, 22, 23, 24, 25, 26, 27, 22, 23, 26, 27, 28, 24, 26, 27, 24, 27, 29, 29, 26, 27, 28, 28, 29, 29, 29}

    Returns: 1

  61. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 13, 13, 14, 14, 14, 14, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 17, 18, 19, 19, 19, 19, 19, 19, 19, 20, 20, 21, 22, 22, 23, 23, 23, 24, 24, 24, 27, 27, 28}

    {1, 2, 3, 10, 12, 14, 15, 17, 20, 21, 23, 25, 3, 5, 6, 9, 11, 12, 16, 20, 21, 22, 25, 27, 29, 4, 6, 12, 15, 17, 18, 19, 26, 28, 29, 4, 5, 8, 10, 16, 20, 21, 23, 28, 29, 5, 13, 21, 22, 23, 11, 13, 14, 16, 18, 19, 20, 24, 25, 27, 7, 9, 11, 19, 20, 26, 27, 12, 14, 18, 19, 23, 26, 27, 28, 12, 13, 17, 18, 20, 22, 10, 12, 13, 14, 20, 21, 22, 26, 27, 22, 24, 27, 17, 18, 19, 20, 21, 28, 29, 14, 22, 24, 14, 18, 19, 25, 29, 17, 19, 23, 26, 21, 23, 24, 25, 27, 17, 19, 22, 23, 27, 23, 25, 20, 21, 22, 25, 26, 28, 29, 22, 28, 23, 24, 27, 24, 26, 27, 25, 27, 28, 28, 29, 29}

    Returns: 5

  62. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25, 25, 27, 28}

    {2, 6, 7, 8, 11, 12, 14, 20, 21, 27, 28, 3, 4, 5, 7, 8, 11, 14, 15, 16, 17, 18, 19, 21, 25, 26, 28, 29, 3, 4, 5, 6, 9, 10, 12, 13, 14, 15, 17, 19, 20, 22, 23, 27, 28, 7, 8, 10, 11, 14, 15, 18, 20, 21, 24, 25, 26, 27, 5, 6, 7, 9, 10, 11, 12, 15, 17, 18, 19, 20, 21, 23, 24, 28, 7, 10, 12, 14, 15, 17, 19, 21, 23, 24, 25, 26, 8, 12, 14, 16, 20, 25, 26, 28, 9, 10, 12, 14, 15, 16, 17, 18, 20, 22, 23, 24, 25, 26, 28, 10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 23, 25, 26, 27, 28, 10, 11, 14, 17, 20, 21, 22, 23, 25, 28, 11, 15, 16, 18, 20, 21, 22, 24, 26, 27, 28, 29, 13, 14, 15, 19, 20, 22, 23, 26, 29, 15, 17, 19, 22, 25, 29, 18, 19, 21, 23, 24, 26, 16, 18, 20, 24, 25, 26, 17, 18, 20, 19, 23, 25, 28, 18, 19, 20, 22, 23, 25, 26, 28, 20, 21, 22, 23, 22, 23, 27, 22, 23, 24, 28, 25, 26, 27, 23, 27, 25, 26, 27, 28, 29, 26, 29, 27, 28, 28, 29}

    Returns: 1

  63. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 21, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 24, 25, 25, 26, 26, 27}

    {1, 2, 3, 4, 5, 8, 9, 10, 11, 18, 20, 22, 23, 25, 26, 2, 4, 5, 7, 12, 13, 14, 16, 19, 21, 23, 25, 27, 4, 5, 6, 9, 11, 12, 13, 14, 15, 17, 19, 20, 21, 22, 23, 24, 28, 29, 9, 10, 11, 15, 18, 23, 25, 26, 27, 6, 9, 10, 11, 12, 13, 14, 16, 20, 21, 24, 26, 28, 6, 8, 9, 10, 11, 12, 14, 16, 18, 19, 27, 13, 16, 24, 27, 28, 8, 9, 10, 16, 18, 19, 21, 22, 24, 26, 27, 29, 11, 12, 13, 17, 18, 22, 24, 25, 26, 27, 28, 29, 10, 11, 12, 16, 17, 22, 24, 28, 29, 15, 17, 18, 19, 24, 26, 29, 13, 17, 18, 19, 22, 28, 29, 13, 15, 16, 19, 29, 14, 15, 16, 17, 19, 25, 26, 27, 28, 29, 15, 16, 18, 19, 20, 21, 22, 23, 24, 26, 27, 28, 17, 19, 23, 24, 25, 26, 27, 28, 29, 17, 19, 23, 25, 21, 25, 26, 29, 20, 21, 23, 26, 27, 28, 20, 21, 24, 25, 26, 27, 28, 29, 22, 23, 28, 22, 23, 24, 27, 29, 23, 24, 25, 28, 24, 25, 26, 28, 29, 25, 26, 29, 26, 27, 27, 28, 29}

    Returns: 3

  64. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 24, 24, 24, 24, 25, 25, 26, 26, 26, 27, 27, 28}

    {1, 2, 4, 6, 7, 8, 9, 12, 14, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 29, 3, 4, 6, 8, 9, 10, 11, 12, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 27, 29, 3, 6, 7, 10, 13, 15, 17, 19, 25, 26, 27, 28, 29, 4, 5, 6, 7, 9, 12, 13, 16, 17, 18, 19, 20, 23, 24, 25, 26, 28, 29, 7, 8, 9, 10, 11, 13, 14, 16, 17, 18, 19, 20, 21, 24, 27, 28, 29, 6, 7, 8, 9, 10, 12, 14, 16, 19, 21, 22, 23, 24, 26, 27, 28, 29, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 27, 28, 29, 8, 10, 11, 13, 14, 15, 19, 20, 23, 27, 28, 29, 9, 10, 11, 12, 13, 15, 18, 19, 20, 21, 22, 23, 24, 25, 27, 11, 12, 13, 16, 17, 19, 20, 21, 22, 23, 24, 28, 29, 12, 13, 15, 17, 18, 19, 21, 22, 23, 24, 25, 26, 29, 13, 17, 18, 19, 20, 24, 25, 26, 28, 29, 13, 16, 17, 18, 19, 21, 23, 24, 27, 29, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 27, 28, 29, 16, 17, 20, 21, 23, 24, 25, 27, 28, 29, 16, 17, 18, 19, 20, 21, 22, 25, 26, 27, 28, 29, 17, 18, 19, 22, 23, 24, 25, 29, 20, 21, 23, 25, 26, 27, 28, 29, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 27, 28, 22, 23, 24, 25, 26, 27, 28, 29, 23, 25, 26, 27, 28, 29, 24, 25, 28, 29, 26, 27, 28, 29, 28, 29, 27, 28, 29, 28, 29, 29}

    Returns: 4

  65. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 22, 23, 23, 23, 23, 24, 24, 25, 25, 27, 28}

    {4, 6, 8, 9, 11, 12, 14, 16, 18, 19, 22, 24, 26, 29, 2, 4, 9, 10, 14, 16, 20, 23, 25, 27, 28, 29, 3, 4, 5, 10, 13, 19, 22, 25, 26, 27, 28, 29, 7, 8, 10, 13, 14, 18, 20, 21, 22, 23, 26, 27, 28, 29, 5, 7, 13, 15, 16, 18, 23, 25, 29, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 20, 21, 24, 25, 26, 28, 7, 12, 14, 15, 16, 17, 20, 22, 28, 29, 8, 10, 12, 16, 19, 20, 24, 25, 11, 12, 14, 15, 19, 20, 22, 23, 24, 27, 28, 29, 10, 11, 13, 15, 16, 17, 18, 19, 21, 22, 23, 24, 25, 27, 14, 15, 16, 18, 19, 20, 22, 25, 26, 29, 12, 13, 14, 18, 19, 20, 22, 25, 26, 29, 13, 15, 16, 17, 19, 21, 22, 23, 25, 27, 28, 15, 16, 17, 18, 21, 22, 25, 26, 27, 16, 18, 20, 21, 24, 27, 28, 16, 18, 21, 22, 23, 25, 27, 28, 29, 19, 21, 23, 25, 26, 27, 28, 19, 20, 21, 22, 26, 27, 19, 21, 22, 23, 24, 27, 28, 20, 24, 25, 27, 21, 22, 23, 24, 25, 25, 28, 29, 24, 25, 27, 24, 27, 28, 29, 27, 29, 26, 29, 28, 29}

    Returns: 3

  66. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 19, 19, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 23, 23, 23, 24, 24, 25, 26, 27}

    {2, 5, 6, 8, 12, 14, 19, 20, 21, 22, 23, 26, 28, 5, 6, 7, 8, 10, 11, 15, 16, 17, 20, 22, 25, 27, 3, 14, 15, 17, 19, 23, 27, 29, 5, 7, 9, 13, 14, 15, 22, 24, 26, 27, 29, 5, 11, 14, 15, 17, 20, 21, 23, 28, 29, 6, 7, 8, 11, 14, 15, 16, 17, 22, 23, 25, 29, 7, 13, 16, 17, 19, 22, 23, 25, 26, 27, 13, 18, 20, 22, 26, 28, 9, 13, 14, 15, 18, 20, 22, 24, 25, 27, 29, 10, 11, 13, 15, 19, 21, 23, 24, 26, 29, 12, 13, 14, 16, 18, 20, 21, 22, 23, 26, 27, 29, 12, 13, 14, 15, 16, 23, 25, 27, 15, 16, 17, 19, 20, 24, 25, 16, 19, 21, 17, 22, 24, 19, 21, 26, 29, 17, 18, 21, 22, 26, 29, 19, 24, 27, 28, 28, 29, 20, 29, 21, 22, 23, 25, 27, 24, 25, 26, 27, 28, 29, 23, 25, 26, 27, 29, 24, 26, 27, 25, 29, 29, 28, 28}

    Returns: 1

  67. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 24, 24, 25, 25, 25, 26, 26, 26, 27, 27, 28}

    {1, 3, 4, 5, 8, 9, 10, 11, 16, 17, 19, 20, 21, 22, 25, 27, 29, 2, 4, 6, 7, 8, 9, 11, 12, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 26, 27, 28, 29, 3, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 16, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 5, 7, 10, 11, 12, 13, 14, 16, 21, 22, 23, 24, 25, 26, 27, 28, 5, 6, 7, 8, 9, 11, 13, 14, 15, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 6, 7, 8, 9, 11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 25, 26, 28, 29, 9, 10, 11, 12, 13, 14, 15, 16, 18, 19, 20, 21, 25, 26, 27, 29, 8, 9, 10, 11, 13, 14, 16, 18, 20, 23, 24, 26, 27, 28, 29, 9, 10, 12, 13, 14, 15, 16, 17, 18, 21, 23, 25, 27, 28, 29, 11, 14, 15, 16, 17, 20, 21, 22, 24, 26, 27, 28, 11, 12, 13, 14, 16, 17, 19, 20, 22, 23, 24, 25, 26, 29, 12, 13, 14, 15, 16, 17, 19, 20, 21, 22, 23, 24, 25, 27, 28, 29, 13, 14, 15, 16, 17, 18, 19, 20, 22, 23, 24, 25, 26, 28, 29, 14, 16, 17, 19, 20, 22, 23, 24, 26, 29, 15, 16, 17, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 16, 17, 19, 21, 23, 24, 25, 26, 27, 29, 17, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 19, 20, 21, 22, 23, 25, 26, 27, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 22, 24, 26, 27, 28, 29, 24, 25, 26, 27, 28, 29, 26, 27, 28, 29, 23, 24, 25, 26, 28, 29, 24, 26, 27, 28, 29, 27, 29, 26, 27, 29, 27, 28, 29, 28, 29, 29}

    Returns: 8

  68. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 28}

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 24, 25, 26, 27, 28, 29, 23, 24, 25, 26, 27, 28, 29, 24, 25, 26, 27, 28, 29, 25, 26, 27, 28, 29, 26, 27, 28, 29, 27, 28, 29, 28, 29, 29}

    Returns: 77558760

  69. 30

    {0, 0, 3, 7, 11}

    {1, 9, 12, 29, 28}

    Returns: 2016812

  70. 6

    {0, 2, 4}

    {1, 3, 5}

    Returns: 6

  71. 8

    {0, 1, 2, 3}

    {4, 5, 6, 7}

    Returns: 3

  72. 30

    { }

    { }

    Returns: 77558760

  73. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 28 }

    {1, 2, 3, 4, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 17, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 4, 5, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 24, 25, 26, 27, 28, 29, 23, 24, 25, 26, 27, 28, 29, 24, 25, 26, 27, 28, 29, 25, 26, 27, 28, 29, 26, 27, 28, 29, 27, 28, 29, 28, 29, 29 }

    Returns: 1352078

  74. 30

    {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 }

    {15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 }

    Returns: 14

  75. 30

    {0, 0, 1, 0, 1, 2, 0, 1, 2, 3, 0, 1, 2, 3, 4, 0, 1, 2, 3, 4, 5, 0, 1, 2, 3, 4, 5, 6, 0, 1, 2, 3, 4, 5, 6, 7, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28 }

    {1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 25, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 26, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 28, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29, 29 }

    Returns: 77558760

  76. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 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, 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, 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, 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, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20, 20, 20, 20, 20, 20, 21, 21, 21, 21, 21, 21, 21, 21, 22, 22, 22, 22, 22, 22, 22, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 25, 25, 25, 25, 26, 26, 26, 27, 27, 28 }

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 21, 22, 23, 24, 25, 26, 27, 28, 29, 22, 23, 24, 25, 26, 27, 28, 29, 23, 24, 25, 26, 27, 28, 29, 24, 25, 26, 27, 28, 29, 25, 26, 27, 28, 29, 26, 27, 28, 29, 27, 28, 29, 28, 29, 29 }

    Returns: 77558760

  77. 30

    {0, 1 }

    {1, 2 }

    Returns: 17383860

  78. 30

    {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6 }

    {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18 }

    Returns: 66


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