Statistics

Problem Statement for "Switching"

Problem Statement

We have run some processes concurrently on a single cpu by time sharing. Only one process could run at a time, but the operating system often switched which of the processes was the one that was running.

Each process, as it ran, frequently checked what time it was and stored that time. The sequence of times that each process observed is given to us. We want to find out how often the context was switched from one of our processes to another. Because it is possible that a process was allowed to execute very briefly and then the cpu was switched to a different process before the first process checked and stored the time, the best we can hope for is to find the minimum possible number of switches that is consistent with the recorded times.

The biggest complication is that times on a computer are discrete. If the time that was recorded was 3, that means that the actual time was sometime between the third and fourth clock tick. Multiple processes could record the same time, and one process could record the same time multiple times.

Create a class Switching that contains a method minSwitch that is given String[] ticks, the sequence of times recorded by each process, and that returns the smallest number of context switches that could have occurred. The i-th element of ticks contains the sequence of times recorded by the i-th process.

Definition

Class:
Switching
Method:
minSwitch
Parameters:
String[]
Returns:
int
Method signature:
int minSwitch(String[] ticks)
(be sure your method is public)

Constraints

  • ticks will contain between 2 and 50 elements inclusive.
  • Each element of ticks will contain between 1 and 50 characters, inclusive.
  • Each element of ticks will consist of integer values separated by single spaces.
  • No element of ticks will have leading or trailing spaces.
  • Each value of each element ticks will be between 1 and 20000 inclusive.
  • The values within each element of ticks will be in non-decreasing order.
  • The values within each element of ticks will have no leading zeroes.

Examples

  1. {"3 5 7 7 8","4 6 7 7 12"}

    Returns: 5

    The only possible order in which these 2 processes (A and B) could have run with only 5 context switches is: A during 3, B during 4, A during 5, B during 6 and 7, A during (a later part of)7 and 8, B during 12. (We can't tell which one was running during 9,10, and 11 but the last switch could have occurred anywhere from late in 8 to early in 12.)

  2. {"3 3 3 3 3","3 3 3 3 3"}

    Returns: 1

    They could have switched back and forth during 3, but it is possible that one of them ran completely first during 3, and then the other ran entirely during a later part of 3.

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

    Returns: 10

    Here is one possible order: B3, C3, A3-4, C4-5, B5-7, A7-8, B8, C8, A9, C9-10, B10. Note that there are 11 separate runs, so 10 switches.

  4. {"3 5","3 5","3"}

    Returns: 3

  5. {"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","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2","2"}

    Returns: 49

  6. {"3 12","3 8 12"}

    Returns: 2

  7. {"9","1","9","6","1 5"}

    Returns: 4

  8. {"36","2 5 7 9 12 13 15 18 21 22 24 26 28 31 33 35 36", "2 22","35","35","35"}

    Returns: 8

  9. {"1 4 6 8 18","1 4 6","1 4 16 18"}

    Returns: 7

  10. {"1 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 8 18","1 4 6","1 4 4 4 4 16 18"}

    Returns: 7

  11. {"1 3 4 6 17","1 3 4 6 7","1 3 14 17","1 3 4 14 17"}

    Returns: 13

  12. {"1 2 5 37","2 5 27 28 30 31 33 36 37","2 5 8 9 17 19 22 28 30", "5 17 19 25 28 31 37","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"}

    Returns: 62

  13. {"1 4 5 6 9 11 14 15 18 21 22 25 26 29 30 33","14 15 18 27", "1 4 6 9 11 14 15 21 22 25 26 27 29","4 6 11 15 21 25 26 27 29 30 33", "33","1"}

    Returns: 29

  14. {"3 6 11 12 13 16 19 21 22 26 27 28 29 30", "3 6 8 12 13 16 19 21 22 23 27 28 29 30", "3 6 8 11 12 14 16 21 22 23 27 28 29 30", "3 6 8 11 13 14 19 21 22 26 27 28 29 30"}

    Returns: 40

  15. {"2 7 9 13 18","4 8 12 15"}

    Returns: 8

  16. {"1 7 10 13 15","4 7 10 14","1 7 14 15","1 7 10 13 14 15", "4 7 13 14 15","1 7 10","4 7 13 14 15","1 7 10 13 14 15","1 7 13", "1 4 7 13 14 15"}

    Returns: 40

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

    Returns: 202

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

    Returns: 158

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

    Returns: 215

  20. {"2 4 5 5 7 9","2 2 4 4 5","2 2 4 5 6 7","1 1 3 3 5 5 7","3 5 6 8 8 8 8 9 10 10 10 10 12 12","1 3 5 6 6 6 7 9 10","2 2 2 2 2 2 2 4","1 2 3 5 7","1 1 1 3 4 6 6","1 1 2 3 5 6 7","2 4 6 8 8 9 9 10 10","2 3 3 3 3 3 5 6 7 8","3 4 5 6 6 6","1 3 4 6 8 10 10 12 12","2 3 5 5 6 8 8 9 11","3 4 4 6 8 8 10 12","2 3 5 7 7 8 10 10 11","1 1 1 3 5 7 8 10 11 13","3 4 5 6 8 10","2 3 3 5 6 7 7 9 11 11","1 3 5 6 8 10","1 2 2 4 6 7 8 9 9","3 4 4 6 6 7 7 8 8 8 8 8"}

    Returns: 119

  21. {"3 4 4 6 8 10 11 12","2 3 4 4 6 7 7 9 11 11","3 4 4 5 5","1 3 3 4 5 5 6 8 10","2 2 3 5 7 9 11","3 3 3 4 4 6 7 7 8 10","2 4 6 7 8 8 8 10 10","1 1 2 3 4","3 4 5 5 7 9 11 12","1 3 3 4 4 4","1 2 3 4 6 6 7 9 11 13 13","1 2 2 4 6 8 9 10","1 2 4 4 5 7 9 10","3 3 5 6 8 10","2 4 5 6 6 6 7 8 9","2 4 5 5 7 7 7","2 3 4 6 7 7 7 7","2 4 6 6 6 6 6 6 6 7","3 4 6 8 10","3 3 4 4 4 5 5 7","1 2 4 6 7 9 11 11","2 3 3 3 3"}

    Returns: 110

  22. {"3 3 5 6 8","1 1 1 2 2 3 5 5 5 6","1 1 2 3 3 5 6 7 9","3 5 6 8 8 10 10 11","1 2 4 5 5 5 6 7 9","1 3 3 4 4 5 6 8 10 11 12 14","1 2 4 6 7 8 10 10 10 11","1 1 3 5 6 8 8","3 3 5 6 7 7 8 9","1 1 3 3 5 5 5 5 6 6","3 5 6 6 8 10","1 3 4 6 6 8 9 11 12","2 3 4 5 6 6 8 9","1 2 3 5 6 8 10","3 3 4 5 5 6 6 6 7 8","3 3 3 5 5 5 6 8","2 4 5 7 7 8 8 10","3 5 6 7 9 10 12 12 13","2 2 3 3 5 7 8 10 10 11","3 4 5 5 7 7","2 4 5 7 7 9 11 11 13 15","1 3 5 6 7 7 9","3 3 5 6 6 7 9 9","3 5 7 7 9 9","1 3 3 4 6 8","3 3 3 5 5 6 7 7 7 8","3 3 4 6 8 9 11 12 14","2 2 2 4 5 7 8 9","2 2 3 3 4 6 8 9 9","3 5 6 6 6 7 8 9 10","3 4 4 4 6 6","1 2 3 3 4 5 7 9 9 10 12 12","3 3 4 4 5 5","2 3 3 4 4 5 7 7 7 7 8 9 10","2 3 4 6 6 6 8 8 9 9 11","3 3 5 7 8 9 9 11 11 13 15","3 4 4 5 5 7 8 8"}

    Returns: 214

  23. {"3 3 5 7 8 10 12","2 3 5 5 7 7","3 4 6 7 9 9","2 4 6 8 9 11 12 12 12 13","3 5 6 8 8 10 12 13","2 4 4 5 7","3 3 4 4 5 6 7 9","1 2 3 3 5 5 7","2 2 2 4 4 4 5 7 7 9","2 2 3 4 4 6 8 9 11 11 11","2 4 5 7 8 8 9 11 13 13 15","1 2 3 3 5 6 8 8 9 10","1 2 3 4 6 6 7","3 4 4 4 5 6 7 9 9 11 11 12","1 1 1 1 2 3 3 3 5 6 8 10","3 4 4 6 7 8 10 12","2 4 6 6 7 7 8 9 9 10 10","3 3 3 3 3 4 4 6 8 10 10","2 4 6 8 9 10 10 11 13 14","2 2 4 4 4 5 7 8","3 5 6 8 8 10 10 12 12","2 4 5 5 7 9 9 10","1 3 5 5 6 7 7","2 2 2 4 6 6 8 10","3 5 5 6 8 8 10 12 13 13 15 15"}

    Returns: 144

  24. {"2 4 4 5 6 7 7 9 9 9 10 11","3 5 6 6 7 7 7 7 8 8","2 4 5 6 8 9","3 5 6 8 8 10 11","3 3 4 5 7 7","1 1 1 2 3","1 2 2 2 2 3 5 6","1 3 3 4 6 7 7 8","3 3 5 5 6 6 6 6 6","2 2 4 6 8 9 9 10 12","3 5 7 7 8 10 12","1 1 3 5 6 8 10 12 12","3 3 4 5 5 7 8 8 9 10","3 5 6 8 8 9 9","2 3 3 4 4 5 7 8","2 2 2 2 3 4 6 6 7 9","1 1 2 4 6 6 8 10 10 11","2 4 4 4 6 7 9 10","1 3 5 7 8 8 9","2 4 6 8 8 10","1 2 2 4 4 4 4 6","3 4 4 5 5 5 7 7 9","1 3 5 7 7 8 10 12","1 1 2 4 6 6 7 7 8","1 2 2 4 4 6 7 9","1 2 3 4 6 7 8 9","1 1 2 4 5 6 7 9","2 3 4 4 4 4 4 5 5 7 7","2 4 6 6 8","3 4 6 6 8 8 9","3 3 3 5 6 7"}

    Returns: 164

  25. {"3 4 6 7 7 8 8","3 3 4 4 5 6 6 8 8","2 2 2 2 3 5 7","3 4 5 5 5 7","3 4 6 7 8 8 8 10 12 13","1 2 2 2 4 4 5 5 6","2 3 3 4 5 7 8 8 8 10","1 1 1 2 2 3 3 5 7 7 7 9","1 1 3 5 7 9 10","2 3 5 7 9 10 11 11","1 3 3 4 4 4 6 7 8 10","1 1 2 2 4 4","3 5 5 5 6","1 1 1 1 3 5 7 8 9 10 12","3 3 4 6 6 6 8 10 11 12","1 3 3 3 5 7 7 8 9 11 13","1 3 4 6 6 6 7 7 7 8 10 10 12 14","1 3 4 6 7 9 10 12 12","3 5 6 8 10 12 13 15 17 19 19 19","2 2 2 4 4 5 6","2 4 6 8 10 12","2 3 5 5 7 7 9 10 10 12 13 13","2 3 4 6 8 10 10 12 13 14 16","1 3 4 5 7","2 3 4 5 5","1 2 2 3 4 4 4","2 2 2 4 5 6 6","2 3 3 3 4 6 6 8","2 2 2 3 5 7 9 9","2 2 2 2 3","3 5 5 5 7 7 7 8 9 10","3 3 4 5 7 8 8","2 4 6 8 8 10","2 2 3 3 4 4 5","3 4 6 8 8 9 11 12 13 14 14 14 14 16"}

    Returns: 192

  26. {"2 4 5 6 6 7 7 7 7","1 3 3 3 5 7 7 8","3 3 4 5 7 7 9 9","1 3 3 3 4 5 6","3 3 3 4 6 6 7 8 10 10 11 13 14","3 3 5 7 8 8 8 9","1 1 2 2 2 2 4 5","3 5 7 8 8 8 10 11 11 11 13","1 2 4 4 6 8 8 8 9","3 4 6 6 8 10 11","1 2 4 5 7 9","2 3 5 5 5 6 8 10 11 11 12","1 2 4 5 6 8 10 12 14","1 3 5 7 9","3 4 4 4 5 5 7 9 9 11","2 3 3 3 3","3 5 6 7 9 10 10 10 12 12","3 5 6 7 7","1 3 4 5 5 6","3 5 6 7 8 8 9 11 11","3 4 5 5 6 6 6 6","3 4 6 7 8 9 9 9","2 3 4 5 5 6 6 8 8 9","3 5 7 7 9 10 12 13 14 16 16 18","3 3 5 5 6 6 8 9","2 4 6 6 8 9 9 11 11 11 11","2 2 4 5 6 6 6","1 2 3 3 5 7 8","3 3 3 5 6 6","1 2 2 4 4 6 7 8 8","1 3 3 5 7 7","2 2 2 4 4 5 5 6","2 4 5 7 8 8 10","2 4 4 6 7 8 10 11 11 12 13","2 3 4 6 7 8","2 4 4 6 8","2 3 5 7 8 9 11 11 11 13","1 3 3 5 5 7","2 3 4 4 5 5 6 8 9 9 10 11","3 4 5 5 6 6 6 6","2 3 5 5 7 8 10 10 11"}

    Returns: 222

  27. {"2 2 3 5 6 7","2 4 5 7 8 8 8 8 9 11 13","3 4 5 7 9 11 12 14 15 15 16","2 2 3 5 7 9 10 10 12 12 13 14","1 2 3 5 6 6 6 6 6 6"}

    Returns: 23

  28. {"3 4 6 8 8 9 9 11","2 4 5 7 7 9 9 11 13 15","3 5 7 7 7 8 10","3 3 3 4 4 4 5 7 8 10","2 3 5 6 8 9 11 11","2 2 3 3 3 5 6 6 8","1 3 5 6 8 9","2 3 4 5 5 6 6 8","1 2 3 5 7 9 11 13 14 16","1 1 3 3 5 7 9 9","1 1 2 4 4 5 6 7 9 11 12","3 5 5 7 9 10 10 11 12 12 14 14","3 4 6 7 8 10 10 11","1 3 4 4 5 7 8 8 10 10 10","1 3 3 3 3 4 4 5 6 7 9","2 3 5 7 8 9 10","1 2 2 2 3 4","2 3 3 4 5","1 2 2 3 5 7 7","3 3 5 6 6 8 8 8 9 11","1 1 2 3 5 7","2 4 4 4 6 8","1 1 1 3 5 6 8 9 10","1 2 2 2 4 6 7 7","3 4 6 8 10","2 3 4 6 7 8 9 10","1 2 2 4 6 7","2 3 4 5 5 5","2 2 4 5 6 8 9","3 4 6 7 9 10 12 13 15 15 16","1 3 5 6 8 9 10 10","3 5 5 6 6 6 7 9","1 2 4 5 5 6 8 10 12 12 13 13 13","3 5 7 9 9","2 2 4 5 6 8 8 10 10 10","2 4 4 6 6 6 6 8 9","3 3 4 4 5 6 8 8 8","2 2 2 3 4 5 7 7 7","3 4 5 7 7 8 10 10","1 2 2 4 6 8 10 12 14","3 5 7 8 9 10 11 11","1 2 3 4 5 6 6","2 4 4 6 7 7","1 3 5 5 7 7 7 8 9 9 11 12","2 2 3 4 4 4 5 7 7","3 5 5 5 6 6 8","1 1 3 3 3 5 5 5 7 8 8 8","3 4 6 6 6 7 9 11","2 3 3 5 7 8 10 12 13"}

    Returns: 285

  29. {"3 3 4 5 7 9 11 13 15 17","2 4 4 5 7 9 10 11 11 11 12 12 13","2 4 6 7 8 8 8 8 9 9","1 3 5 6 8 9 10","2 3 5 5 7","2 4 5 6 8 10 11 12 13","3 3 3 3 3 4 5","3 3 5 6 7 7 8 10 11","2 3 4 5 6 6 8 9 11 12","2 2 3 3 4 6 7 9","3 3 3 3 5 7 7 8 10 12","2 3 3 5 5 7","3 3 5 7 8 10 11 13 13 15 17 19 20","3 4 6 6 6","1 3 5 7 9 10 10","1 2 2 4 5 7 8 10 10 10 12 12","3 5 6 6 8","1 1 1 2 2 3 3","3 3 4 4 5 7 8 9 10 12 13","1 2 3 4 5 7 9 9 11","3 5 5 6 7 7 8 10 11"}

    Returns: 121

  30. {"3 3 3 5 5 7 8 10","3 5 7 8 8 8 8 9 9","3 5 5 6 6 7 8","2 3 4 6 7 8 10 11 13 13","1 3 3 4 6 8 10 11","3 5 5 6 7 8","3 4 5 6 6 6 6","2 4 5 5 6 7 8 8 10 11 12","3 3 5 7 7 8","1 2 3 4 6","3 5 6 7 7 8 10 11","2 2 4 4 6 8 8 9 9 9","3 5 5 5 5 7 7 7","2 2 4 6 6","1 2 3 5 7 8 10 12","3 3 3 3 3 4 6 8","2 4 4 4 5 7 8 9 9 10 10 12","1 3 5 5 6 8 10 11 12 12","2 3 5 5 7 7","1 3 5 6 7 9 10","1 2 2 3 5 5 6 8 9","1 2 2 2 4 4 5 6","3 4 5 7 9 11 13","3 5 6 6 7 9 11","2 4 5 7 7 7 7 8 10","2 3 4 4 4 4 5 5 6","2 2 2 2 3 4","3 5 5 5 7 9 10 11 11 13 15 17","1 2 4 4 4 6 6 7 8 8"}

    Returns: 155

  31. {"2 4 6 6 8 9 11 12","1 3 3 4 6 6 7 7 7 9"}

    Returns: 7

  32. {"1 1 1 1 1 3 3","3 5 7 7 9 9 11","2 4 5 7 7 8 9","2 4 6 7 7 9 11 12","1 2 4 5 7 9 10 10 11"}

    Returns: 19

  33. {"2 2 4 5 6 7","2 3 4 4 4 6","3 3 4 6 8","2 3 5 6 7 9 11","2 3 5 6 6 8 9 10","3 3 3 4 5 5 6 6","1 3 4 6 7 7 7 9","1 3 5 5 6 6 7 7 7 9 10","2 3 3 5 5 5 6 6","3 4 4 5 7 9 10 11 11 12","1 1 3 3 5 6 7 9","3 3 3 4 5 6 7 7 7","1 1 3 5 5 7","3 5 7 9 10 11","1 3 5 6 8 9 10","1 1 3 4 4 5","3 5 7 7 7 7 8 9 9 11 11 13","2 3 5 5 7 9 9 9","1 1 3 5 6 7 7 7 8 10 10","2 2 4 4 4 6 7","3 3 4 4 4 5 6","1 2 4 6 8 9 11 13 14 14 15 17 19 20","1 1 1 2 2 4 4 5","3 5 6 6 6 8 10 11","2 4 6 7 7 9 9","3 3 4 6 6 8 8","3 4 5 5 7","3 3 5 7 9 10 11 11 13 14","3 4 4 6 6 6 8 8 8","3 4 4 6 8 8","3 3 5 7 7 7 9 10","3 5 6 6 6 8","2 4 6 6 7 9 9 9 10","1 3 5 7 9 9","1 1 2 3 3 4 4 4 6 6 8","3 5 5 7 8 8 9 9 11 11 12","1 1 3 4 6 6 7","1 1 3 5 7 9 11 13 14 16","2 4 6 6 8 8 8 10","3 4 6 6 7 7 7 8 9","1 1 2 4 5 5 7","1 3 3 5 7 9 9 11 12 14","1 2 4 5 6 6 7 8 8 10","3 4 4 6 6 6 6","2 4 4 6 6 7 9 10 11 11 11","2 4 4 4 4 6 7 7","2 4 5 6 7 7 8 10 11","1 1 2 4 6 7 9 10 10 12 13 15 15"}

    Returns: 261

  34. {"2 2 4 6 7 8 8","3 3 5 5 7 8 8 9 9 11 12","2 2 3 5 5 5 7 8 10","2 2 4 5 6 8 9 10","3 5 5 6 7 8 10 10 10 10 11","2 3 4 4 6 6 8 9 10 10 12","3 5 6 8 8 9 9 9","3 4 5 5 6 7","1 3 3 5 7 8 8 9 10","2 3 3 3 3 4 6","3 3 4 6 7 7 8 10 10 11 12","1 2 3 4 6 8 8","1 1 3 4 4 6 8","3 3 3 5 7 7 7","3 5 6 7 9 10 10 12 12","2 4 5 6 8 8 10","3 5 5 7 9 11 11 12 14 15 17","3 3 5 6 7 7 9 9 11 13 14","2 2 4 5 5 5 5","2 3 4 5 5 7 8 9 10 12 13","1 3 5 7 9 11 12","2 3 5 6 7 8","3 4 6 8 10 10 11 13","1 3 3 4 6 8 8 10 10 11","3 3 3 4 6 8 10 10 10","2 2 2 4 5 6 8","3 4 6 8 8 9 11 11 12","3 3 4 4 4","3 5 5 5 7 7 8","1 3 4 4 5 7 7 7 8","1 3 5 5 6 8","1 3 3 3 4 4 6","3 5 7 8 10 10 12","1 2 4 6 6","3 4 4 5 7 8 9 9 10 10 12 14"}

    Returns: 194

  35. {"3 5 7 7 7 8 10 12","1 2 2 3 3 4 6 6","2 2 3 4 5 6","3 5 7 9 9 11 12 14 14 16","3 3 4 4 5 7","3 5 6 8 8 10 11 11","3 5 7 8 9 9 11","1 2 4 4 4 4 4 5 7"}

    Returns: 34

  36. {"2 2 4 4 5 6 6 7 7 9","3 5 5 7 9 11 11 12 12","3 3 3 3 4 6 7 7 9","2 3 5 6 8 9 9 11 11 11 12","3 3 5 7 7 9 10 12","3 3 5 5 5 7 9 11 13 13 14 15","2 4 5 5 5 7 8 9 11 13 15","1 3 4 4 5 7 8 9 9 10 11 13","3 4 5 5 7 9","2 3 5 5 6 8 8 8","3 4 4 5 6 8 8 9 10 10","3 3 4 6 8 10 11","2 3 3 5 5 6 7 7 7 9","2 3 3 4 4 6 7 8","2 2 2 4 4 4","3 4 4 4 6 8 9 9 11 11","1 2 4 4 6","2 4 5 7 9 9 9 9","3 4 6 8 10 11 13","3 3 3 5 7 7 7 9 9 11 13","3 4 4 6 6 7 9 11 12","1 1 1 2 4 5 6 8 8 10 12","3 4 6 8 8 10 10 10 12","1 2 4 6 8 8","1 2 4 6 8 10 12 14 16","1 1 1 3 4","1 2 4 4 6 7 9 10 11","3 5 5 5 5 6 7 7 8","1 1 1 2 3 5 6 6"}

    Returns: 166

  37. {"3 5 5 6 8 9","3 5 7 8 10 11 12 13","1 2 2 3 3 3 4 5","3 4 4 5 6 6","2 3 5 5 6 7 8 9 11 12 12","1 3 5 6 7 8","1 2 3 5 6 8","3 4 4 4 5 5 5 5 6 6","2 2 4 6 8 8 9 11 13 14 14 15 15 16","3 4 4 5 5 6 7 9","1 1 2 3 5 6 6","1 2 4 4 5 7 8 10","2 2 4 6 8 10 10 12 12 12 14","1 2 3 5 5 5 6","1 3 5 6 6 6 7 8 8 9","2 2 3 4 6 7 8 10 12 12","2 4 6 7 7 8 8 9 11","1 2 4 6 8 10","2 3 5 7 9 11 12","3 4 5 6 6 8 8 8 8 8","1 1 2 2 2 4 5 5 6","2 4 6 6 8 10 10 11 12","2 4 6 6 6 8 9 11","3 5 7 8 9 11","1 1 3 3 5 5 6 7","2 2 4 5 5 6","1 3 4 5 5","3 4 5 6 6 8 10 11","1 2 4 6 6 7","2 2 2 2 2 3 4 6","1 2 2 4 6 7 7 9 9 10 10","2 2 4 6 7","3 5 5 6 7 7 7 7 9 11","1 3 3 3 5 5 7 7"}

    Returns: 186

  38. {"3 4 6 7 8 10 12","3 5 7 7 8 8 8 9 10 12 14","3 4 4 5 5 6 7 7 7 9 10 10","3 4 5 6 7 8 10","3 4 5 5 7","2 2 4 4 6 7 7 7 8","2 4 6 8 9 10 12","3 5 5 6 6 6 8","2 3 4 6 6 8 9","3 3 3 3 4","1 3 5 6 6","3 4 6 7 9 10 11 11 11 12 14 14 16 18","2 3 4 4 5 5 6 6 8","2 4 5 6 7 9 11","2 3 3 5 5 5 6 7 7","3 5 5 5 7 7 7 8","1 1 2 4 4 6 6 7 7 7 8 10 10 10","1 2 4 5 7 8 8 8 9 9","2 3 3 4 4 4 4 4","2 4 6 7 9 11 13 13","1 3 5 7 7 7 8 9 9 10 12","2 3 5 6 6 7 7","3 5 6 6 7 7 8 10","2 3 5 5 5 7","2 2 2 3 5 6 8 10","1 1 2 4 6 8 10","1 1 1 3 4 5 7 8 8 10 12","2 3 3 3 5 5","2 2 3 3 5","1 3 4 5 7 7 9 11 12 14 16 18 18","3 4 4 5 6 7 9 10","2 4 5 6 8 8 9 10","3 5 5 6 8 8 10","3 3 5 7 8 8 10 12","2 4 5 6 7 7 9 10 11 13 15 15 16 16","3 4 6 8 9 9 9 11 11","3 3 4 4 6 7 8","1 1 2 4 5 7 8 9","1 1 1 3 4 4 4 5 5","1 2 2 2 4 4 4 4","2 4 5 6 6","1 3 3 4 5 7 9 9 9 10","1 2 2 2 3 4 4 5 5","2 4 5 5 5 5 5 5 5","2 4 6 6 6 8 9 11 12 12 14 16 16","3 5 5 7 8 10 10 12 13","2 3 3 3 3 4 6 7 8"}

    Returns: 265

  39. {"3 4 4 4 5 6","1 3 4 4 4 4","2 3 4 4 6","3 3 4 4 4 6 6 8","2 2 4 6 7","3 3 3 5 7 9 9 11","2 2 3 3 3 4 5","1 1 2 3 3"}

    Returns: 23

  40. {"2 2 2 3 4 5 7 8","2 2 3 3 4 5"}

    Returns: 4

  41. {"1 1 3 5 6 8 9","3 4 6 8 9 9 9 9 10 12 12","2 4 5 6 6 7 9 11 13","3 5 5 5 5 5 5 7","1 3 4 4 4 4","1 1 3 5 7 9 11","2 2 2 3 3 5 5 6 8","3 3 3 3 5 6 8","2 4 6 7 8 10 12 13 13 13","3 3 5 7 9 11 13","3 5 5 5 7 8 10 12 12","1 1 2 3 3 3 3 3 5","2 4 5 7 8 10 12 12","1 2 3 3 4","2 3 4 5 5 5","1 3 5 5 5 5 5 6","3 3 4 4 4 6","2 2 4 5 5 7 9 11","2 2 2 4 6 8","2 2 2 3 3 5 5 5 6","1 3 4 4 5 5","1 2 3 4 5 7 8 9 11 11 13 13 14 16","1 3 3 5 7 9 11 11 13 15 15","1 1 1 2 2 4 6 6 8","3 3 5 6 6 6 8 8 9","2 3 4 4 6 7 8 10 12 14","1 3 4 5 7 9 9 11 13","2 2 4 6 7 9 10 10 10","1 3 5 5 6 7 8","1 3 5 6 6 7 9 11","2 4 5 6 7 8 9 9 10 10","2 2 4 5 7 7 9 9 10 12 14","2 4 5 5 7 7 9 10 11","3 3 3 4 4 6 7 7 8 10","1 3 5 6 6 6 8 8 8 9 10 10 11 12","1 3 4 6 8 9 11 11 11","1 2 2 4 6 8 9","3 3 4 6 7","1 3 4 6 7 8","1 1 3 3 5 6 7 7","2 3 5 5 5 6 8 10","1 3 3 5 7 9","3 4 5 6 6 8","1 1 1 3 4 6 6 8 8 9 9","2 3 3 4 4 5 5 5"}

    Returns: 250

  42. {"2 4 5 6 8 8 10","2 2 4 6 6 7 8 9 10 10","3 3 4 4 6 6 7 8 10 10 12","3 4 5 5 7 9 9 9 10","2 4 6 7 7 9 11 13","3 3 3 4 5 7 9 10 10","1 3 5 6 8 9","2 2 2 2 4 4 6 7 9 11 12","2 4 4 5 7 7","2 3 4 4 4 4 4","1 2 2 4 6 7","2 2 4 5 5 5 5 6 7 8","1 2 4 5 5 5 7 7 7 9 10 11","3 4 5 6 8 8 8 9 11 12","3 3 5 6 6 6 6","3 3 5 6 6 6 8 10 10 10 10","3 3 4 5 6 7 7","2 2 2 4 6 7 7 8 8 8","2 4 4 4 5 6 6 6","3 3 3 5 6 6 7 7 9","2 3 4 6 8 10 11","1 2 2 4 5 6","2 2 3 4 4","1 3 4 4 6 8 10 10 12 14 15","3 4 5 6 6 8 8 8 10","2 3 5 6 8 10 11 13"}

    Returns: 138

  43. {"3 4 4 5 5 5 6 6","1 2 2 2 2 4 4 5","1 1 3 3 4 6 7 8 8","2 3 5 7 7 9 9 9","2 2 3 5 5","3 4 4 5 6 7 9","1 3 5 6 6 6 8 9 10","3 3 4 5 5 6 6 6 7 7 7","1 3 4 5 6 7 7 9 10 10","3 3 4 6 7","1 3 3 3 5 7 8 8 9","3 5 5 7 7 8","3 5 5 7 7 9 11 11 12 13 13","3 4 5 6 8 9 9 10 11","3 5 6 6 7 9 10 12 13 13","3 5 6 8 8 8 9 10","1 3 5 6 6 7","3 4 6 6 6","1 3 3 3 5 5 5 5 6 8","2 3 3 3 5 6 8","2 2 4 6 8 9 9 10 10 12 14 14 14","1 2 3 3 5 7 8","3 4 4 4 4","1 3 5 6 6 7 8","3 3 3 3 5 6 8 9","3 5 5 6 7 9 10 10 12 13","2 2 3 5 6 6 7","1 2 2 3 5 6 7 7 9 10","2 2 3 3 3 5","2 4 5 5 7 9 11 11 13 13 14"}

    Returns: 154

  44. {"1 3 3 5 6 6 8","1 3 4 5 7 9 11 13 15","3 5 7 9 10 12 13 14 16"}

    Returns: 16

  45. {"1 3 4 6 6 6 7 8 8","1 1 2 2 4 4 6 6 7 9 9","3 4 4 6 7 8 10 11","2 4 5 5 6 6 6 7 7 8","2 3 5 6 7 9 11 12 13 15 15","1 2 2 3 5 6 6 8","3 4 5 5 6 7","2 3 3 3 5 6 7 7 8","2 3 4 6 7 7 7","1 3 5 7 7 7 9 11 12","2 4 5 5 5","2 4 5 7 7","1 1 3 3 5 7 7 8 8 9 10","3 4 5 7 9 11 13 14 16","3 3 3 4 5 6 7 8 8 9 11 13","1 2 2 4 5 7 9 9","1 1 1 1 3 4 6","2 4 6 6 6 6 6 8","2 4 5 6 7 9 10","3 5 5 5 7 8 9 11 13","2 4 4 5 5 5 7 8","3 5 6 6 7 9","1 1 3 4 5 5 5","1 3 5 5 6 7 7 8","2 4 5 7 9 10 12","1 2 2 3 5 5 5 5 6","3 3 3 4 4 6 8 9 11","3 3 3 3 3 5 5 6 7 7","1 1 1 2 4 6 7 7 8 10 10","3 5 5 7 7 7 9 11 11 11 13 13","2 2 4 6 7 7 9","2 2 3 5 7 7 7","1 3 5 6 8","3 5 6 8 9 9 9","2 2 2 3 4 5 5","3 5 7 8 8 9 9 10 10 10","3 3 3 3 3 3 5 6"}

    Returns: 197

  46. {"1 1 1 1 3 5 7 7 7","2 3 4 5 5 5 7","2 3 3 4 5 6 8 10 12 12 12","2 4 5 7 8 9","1 1 1 3 3 4 5 5 6 6 8 8","3 4 6 7 8 9 11 12","2 3 5 6 7 8","3 4 5 7 7 9 11 11","3 4 6 6 7","1 1 2 3 5 7 7 8","3 5 6 8 8 10 11 13","3 3 5 7 8 10 10 12 14","2 3 5 5 5 7 7 7 7 9 10","1 1 1 1 1 1 1 1 3 3 4 5","2 2 4 6 7 9 9","1 2 2 3 3 4 6","3 3 4 5 6 8","3 3 4 4 5 7 9 11","3 4 5 7 7 8 9 9 9 9","1 1 3 4 4 4 4 5","1 2 3 5 7 9 9 10","2 2 4 4 5 6","2 2 3 3 5 6 8 9","1 2 2 2 2 4 4 6 7","3 3 5 7 7 7 7 7","3 4 6 7 7","2 4 5 6 8 8 8 8 8","2 3 5 7 7 7 8 10 12 14 16 18 20","3 5 6 8 8 10 12","2 3 5 5 7 7 8 10 12","3 4 6 7 9 11","1 2 4 5 7 9","2 3 5 7 9 10 12 14 16","3 3 4 5 5 5 6 7 7","3 4 6 8 10 10 11 11 13 13 13 13 14 14","1 3 3 4 4 5","1 2 3 3 4 4 5 7 8 8","3 4 6 7 9 11 12","3 3 4 4 4 6","3 3 3 3 3 4 4 6 8","1 1 3 4 5 6 7 8 10 12"}

    Returns: 224

  47. {"2 3 3 5 6 7 7","2 4 6 6 6 6 8 8","3 4 6 8 9 10 11","3 5 5 5 6 7","3 3 5 6 7 8 10","2 2 2 3 4 6 6 6 8","1 1 3 4 5 6 8","1 1 1 2 3 5 5","3 5 7 8 10 10 10 12","3 3 4 4 6 7 9","3 3 5 5 5 6 7","1 3 4 6 6 6 6 6 6 7 7 7","2 4 6 6 8 9 10 11","3 3 4 5 5","1 3 5 7 8 8 10 10","3 4 6 6 8 8 10 10","1 3 5 5 5","1 3 3 4 5 7 9","3 5 6 8 10 10 11 12 12 13 13 13","2 4 4 5 6 6 6 6 7 7 7 8 10 11 12","3 5 7 8 10 10 11 13 14 16","3 5 5 6 8","2 3 5 7 8","2 3 3 3 3 4 6","1 2 3 5 6 6 8","2 2 4 5 7 9 9","2 4 6 7 8 8 10 11 11 12","1 3 5 7 8","1 3 5 6 7 8 8 10 11 12 13 15","1 3 3 4 4 5 5 6 8 10 10","2 2 3 5 5 7 8 9","3 5 7 8 10 10","1 2 3 3 4 6 7 9 9 11 11 12 14","3 5 6 6 8 10 10","3 4 6 8 9 10 11 11 11 12","2 2 3 3 4 6 8","3 3 3 5 7","2 2 2 2 3 3 4 6","2 3 5 7 9 11 13","3 3 4 4 4 5 7 7 7","3 5 5 6 7 9 10 11","1 3 4 4 5"}

    Returns: 226

  48. {"2 3 4 5 6 7 7 8","2 3 4 6 8 9 10 12"}

    Returns: 6

  49. {"3 3 3 3 4 6 7","2 4 5 5 7 7 7 9 10","1 2 2 2 4 4 5","1 2 2 3 3 3 4 6 6 8","3 3 5 6 7 8","1 2 4 5 6","2 3 3 5 5 5 6","1 2 3 5 5 7","2 2 3 4 4 6 6 7 8 8 8 10","1 3 3 5 6 7 8","3 3 5 5 5 5","3 5 6 8 8 10 12","2 3 3 3 5 6 7 8","1 2 4 4 4 5 5 7 9","2 4 6 7 7 8","1 2 3 5 7 9 10 11 11","1 3 4 6 7 8 10 11","3 4 5 6 6 8 10 12 14 14 14 15 17","3 3 4 6 8 10 11 13","3 4 5 6 8 10","3 5 5 7 9 11 12 12 14 14","1 2 4 6 8","2 4 6 7 9 10 12 12 14 14","3 4 4 4 4 4 4 6 8 10","3 4 6 7 8 10 12","2 2 4 6 8 10 11 11","3 4 5 7 7 9 10 10 10 10 11","1 3 5 5 7 7 8 10 10 10","1 1 3 3 4 5","1 2 4 4 5 5 5"}

    Returns: 162

  50. {"2 4 5 5 6 6","2 3 5 7 9 11 13","1 1 2 4 6 7 9","1 3 3 3 4 6 7 9 10","1 1 3 5 6 6 7 7 8","3 3 5 5 7 9 11 13"}

    Returns: 26

  51. {"2 4 5 5 6 7 7","3 5 6 8 9 11 11","1 3 4 4 4 6 6 7","2 2 4 5 6 7 9","2 3 3 3 4 4 6 7","3 3 3 4 6 7","2 3 4 5 5 6 6 8 9 10 11","3 4 4 6 8 8 8"}

    Returns: 35

  52. {"3 4 4 5 6 6 8 9","2 3 3 4 5 6 6","3 5 5 5 7 9 9 10 12 12","3 3 3 3 5 6 7 9 10 11","2 4 6 6 8 9","3 4 4 5 5 7 7 8 8","1 2 2 4 5 7 8 9 10 11 13 13","1 1 3 5 5 6 8 8","2 2 3 5 5 6 6 6 6 6","3 3 3 5 5 6","2 3 3 3 3 4 5 6","3 5 6 8 8 9 11 12","1 3 5 5 5 7","1 3 4 4 6 8 9 9","2 3 3 4 6 8 10 10 11 13 13","2 3 5 7 8 9 10 12","3 5 7 8 8 10 11 11 12","2 2 3 5 5 7","1 2 2 4 4 5 6 6 7 7 9","2 4 6 8 10 10 11 11 12 12 12 12 12","3 3 3 3 4 6 8","1 2 3 4 5 6 7 7 7 8 8","3 5 7 7 9 11","1 2 4 6 6 6 6 6","1 3 5 7 7 9 11","1 2 4 4 6 6 7 7 9 10 10","1 2 3 3 3 4 6 6","2 3 3 3 5","3 4 4 6 7 8","2 2 4 4 6 6","1 3 4 6 8 8 8 9 11 13","3 3 4 5 5 7"}

    Returns: 169

  53. {"3 3 3 4 4 5 6 7","3 3 4 4 4 6 7 8 8","2 3 5 5 7 9 11 13 14","3 5 5 5 7 9 10 11 12","3 3 4 5 7 9 10 12 14 15","3 4 6 6 6","2 4 6 8 8 9 9 11 13","3 3 3 4 4 4 6 6 7","3 4 4 6 7 8 8 10 11 12 12 13 13 15","3 5 6 6 6 6 6 6 8 8 9 9 11","1 1 1 1 2 4 5","1 3 3 3 5 5 6 7 9 9"}

    Returns: 59

  54. {"1 1 3 4 4 6","3 3 5 5 6 6 8","2 3 5 5 5 6 6 6 8 10 12 13","2 4 6 6 7 7 9 11","3 5 5 5 5 5 5 7","2 2 3 5 7 9 11","3 5 6 6 8 10 10 11 13 15 17 17","1 2 3 3 4 4 5 5 6 6 8 9","1 2 4 5 7 8 9","3 5 5 6 8 9 9 9 11 12 14","3 3 4 5 5 7 9","1 1 2 4 5 5","2 3 4 4 5 7 8 10 12","1 3 3 4 5 7 8 10 11","1 3 3 4 6 6 8 8","1 3 5 5 5 5 5","1 1 1 2 2 3 5 6 6 8","3 4 6 8 8 9 10 12 13","2 2 4 6 7 9 11 11 13","3 3 5 7 7 7 8 8 10 11","1 2 2 2 4 6 6","1 3 5 6 7 8 9 10 10","1 3 3 3 4 6 6 8 9 10 10","2 3 3 4 6 7 9 10 11 13 14","3 3 4 6 7 7 7","2 2 2 3 3 3 3 4 4","1 1 3 4 4 6 6 8 10 11","1 3 3 3 3 4 5 6 6 7","2 2 3 5 6 7","3 3 3 4 6 6 6 8 9 11","2 4 6 6 7 7 9 11 13 14 14","1 3 5 5 5 5"}

    Returns: 179

  55. {"2 3 5 7 8","1 2 2 2 4 6 8 8","2 3 5 6 6 6 8 8","3 5 7 9 11 13 15 17 19 19","1 3 5 5 6 6 8 10","1 1 1 2 2 4 6","3 4 4 4 6 8 8 10 12 13","1 2 2 3 4 6 7 8","1 1 1 1 1","3 3 4 5 5 6 7 7 8 10","3 3 3 5 7 7","1 3 3 4 5 5 5 5 7 8","2 2 3 3 3 3 5 6 7 7 8 8 10","2 3 4 4 6 6 8 10"}

    Returns: 66

  56. {"1 3 3 3 5 5 6 6 7 7 7","3 5 7 7 9 11 11 12","3 3 4 5 7 9 10 10 11 12 13","2 4 4 5 5 5 6 7","2 3 5 6 7 8 8","2 2 4 4 4 4 5 6","1 1 3 3 5 5 5 7","3 3 3 4 6 7 7","3 5 5 6 7 8 10 11 12 13 14","2 3 4 5 5 6 7 8 8 8 9 11","2 2 2 4 6 8 8 8 10 12 13 14 14","2 3 4 6 8 10 11 13 15 15","3 4 4 6 7 7 8 9 10","2 4 6 6 8 8 8 9 11","2 3 3 3 5 6 8 8 8 8 10 12","1 3 5 5 5 7 8 10","1 3 3 4 5 6 6 6 6 7","2 4 5 5 6 6 8","3 3 3 3 3 4 4","3 5 6 6 7","2 2 4 4 6 6 8 8 8","3 5 5 7 9 10 11","3 3 4 4 4 4 4 6","2 3 3 5 5 7 8 10","1 3 3 5 7","2 3 5 6 7 9 11","3 5 6 8 10 10 12","3 3 4 5 7","2 2 2 3 5 7","2 2 2 4 5 5 7 9","1 1 3 5 5 6 8 10 11"}

    Returns: 165

  57. {"2 2 2 2 3 3","2 4 5 6 7 9 9 9 10 11 11 13","1 2 2 2 3 5 6 8 9","2 2 4 4 5 6 7 8 8","2 3 3 5 6 8 9 9 11 12 14","3 5 7 7 9 11","2 2 3 3 4 4 5","2 4 6 7 7 9 9","3 5 5 5 5 5 7","3 3 3 3 3 3 3","1 3 3 3 3 3 3","3 5 6 7 9 9 9 9","1 3 5 7 7 9","1 3 4 4 4 6","1 1 2 3 4 6","3 3 3 4 4 6 8 9","1 3 4 5 5","3 4 5 5 5 5 7 9","3 5 5 6 6 6 7 7 8","3 3 4 4 4 5 5 5 7","2 4 4 6 8 8","1 1 2 4 5 6 6 6 8 10","1 1 1 1 2 3 4","3 3 5 6 6 8 9 9 10 12 13","3 3 4 6 8 8 10 12 13 15 16 16 17","1 1 2 2 4 6 8 9 11 13 13 13","1 1 1 3 5 7 9 10 11 11 12","1 1 1 3 4 6 6 8","3 5 6 7 7 9 10","3 5 6 6 8 9","2 4 4 5 6 8 9 9","1 3 3 3 4","2 2 2 3 5 6 6 8 9","1 1 3 3 4 6 6 6","1 2 4 6 7 8 9 10 10","3 3 5 6 8 8 9 10","1 1 2 4 5 6","3 4 5 5 7 8 10 10 10","2 3 4 5 7 9 11 13","2 4 4 4 6 6 8 9 10 10","2 3 3 4 6 7 7 9 9 11 11","3 3 3 3 3 3 4 4 5 6"}

    Returns: 214

  58. {"1 3 4 5 6 6","1 2 4 4 6 7 9 11 11","3 3 3 5 6 6 6 6","3 3 4 6 7 9 9 10 11 13","1 3 4 5 6 7 8 10 12 12 13 14","3 5 5 7 9 9 9 10 11 12","1 1 3 4 4 4 5 6","1 2 3 3 5 6 6 7 9 10","1 3 4 5 5 5 6 6 7 8 9 11","3 4 4 5 7 8 8 9","1 1 2 3 4 5 7 7 9 9","3 4 5 5 6 6 8 8","2 4 5 6 8 9 9 11 13 14","1 3 5 7 9 10 10 12 14","3 5 6 6 8","2 4 6 7 8 8 9 11 12 13 13 15","3 4 6 7 8 9 10 11","2 2 2 3 5 6 6 8 10 11 11","3 4 5 5 5 5 7 9 10 10","2 2 3 3 3 3 4","3 3 3 5 5 6 8 9","1 1 3 3 4 5 7 8 8","3 5 5 6 7 9 9","3 3 3 3 5 5 6 6 8","2 4 5 6 8 9 11 12 14 14 15 17 19","3 3 3 5 5 7 9 9 10 11","1 3 5 6 8 10 11 12 12 14 14","1 3 4 4 6 8 9 10","1 1 1 1 1","1 3 5 7 8 8 8 9 10 10","1 3 4 4 6 7 7 8","1 1 1 1 2 4 4 5","3 4 4 5 7 7 9","1 2 4 4 5 7 8 10 11 13","3 5 7 8 8 9 11 12 14 14 15 16 17","2 3 4 5 6 7","2 3 4 5 6","1 3 3 4 4 5 7","3 4 5 6 7 8 10 12 13 14 16 18 19","1 3 4 5 6 7 8 10","1 1 2 3 5","3 4 5 6 7 8 10 10 11 12","1 2 2 3 5 5 5 6 7 7 7 7","2 3 3 4 5 6 6","3 3 3 3 3","2 3 4 6 8 10 11 12 12","3 4 4 4 5","1 3 3 4 5 6 6 6 8 8 9 11","2 2 4 4 5 5 6"}

    Returns: 301

  59. {"2 3 4 4 5 6 7 9","2 2 4 6 6 6 6","2 3 5 5 5 5 5 7 7","1 1 3 4 4 4 5 6 8 9","2 4 5 7 7 9","3 3 5 5 5 5 5 7","1 3 4 6 8 9 11 12","1 2 3 4 6 8 9 9 9","1 2 3 3 3 4 5 7 7 7 7 9","3 5 6 6 8 9 10 11","1 1 2 2 3 3 5","3 3 4 5 6 8 9 9 10","1 2 2 4 4 5 6 8","2 4 6 6 8 8 10 11 13 15 17 17","3 3 4 5 6 6","2 3 4 4 4 4 5 5","1 2 3 4 5 7 8 10 11","2 2 2 4 5 5 6","3 5 7 9 10 11 12","3 4 5 5 6","1 1 2 4 6 7 7 8","1 3 5 6 6 7 9","2 2 4 4 5 7 8 8","3 4 4 4 5 5 7 9 10 11","3 3 3 4 5 7 7 8 8 9 11","1 3 3 4 5 6 7 7 9","3 4 6 7 8 10 12 12 13 13","1 2 4 6 7 7 8 8 9 9","2 3 4 5 6 6 7 9","3 5 5 6 8 10 10 10","2 3 3 4 4 5 7","1 2 3 5 5 5 7","1 3 3 4 6 6 6","3 3 5 7 8","1 3 3 4 5","2 4 4 4 5 5 5 7 9 9 11 11","2 3 5 5 7 8","3 4 5 7 8","2 2 4 5 6 6 7 9 10 10","1 3 5 5 7 7 9 9","3 5 7 8 10 10","1 1 3 4 5 7 9 11","2 2 4 4 5 6","3 4 4 4 5 5","2 3 5 5 5 6 6 6","1 3 3 4 5","1 2 4 4 5 7 7","2 4 4 5 6 6 7 9 9","1 1 2 4 6 8 10"}

    Returns: 260

  60. {"1 2 4 5 6","3 4 4 4 6 8 9 10","2 3 5 6 6 7 9 9","2 3 4 5 6 7 7","1 3 4 4 5 6 6 6","2 3 4 6 8 8","1 2 3 4 5 5 5 6 6","2 3 5 5 6 8 9 11","2 4 6 8 8 8 9","1 3 3 3 3 5 6 8 9","1 2 4 4 6 6 6 7 8 8 9 9 9 9","1 1 3 4 6 6 6 6 8 8 10 10 11","2 2 4 5 6 8 10 11 11 13 13 13","3 4 6 6 6 7 7","3 3 3 3 4 4 5 6 7","1 1 3 3 5 5 6 8 10","2 4 4 5 5 6 7 8","1 1 3 3 4 5 7 9 9 11","1 2 4 4 6 7","2 2 3 4 4 6 7 9 9 9","1 2 2 4 6 7 7 9","2 4 4 6 8 10 12 14","3 5 5 6 6","2 2 2 4 4 6 8","1 1 1 2 4 4 4","1 1 2 3 3 5 5 6 7 7 7 8","1 1 3 4 5 5 6 7 9 9 10 11","2 3 3 4 4 6 6 7 7","1 1 3 4 6 6 8 9 9 11 11 12","2 3 4 6 6 7 7 8 10","1 2 4 6 8 9 11 13 14 15","3 4 4 5 7 9","2 4 6 7 8 10","1 1 2 3 5 6 6 8","2 4 4 4 6 7 7","1 1 3 4 4 5 5 6 7 7 8 9","1 2 4 5 5 5","1 3 5 5 7 7 8 8","1 1 2 3 4 6 8 9 9 10 12","3 4 4 5 5 7 7","1 1 1 3 4 5 7 8 10 12 13 15","1 1 1 2 2 4 5 5","1 3 4 6 6 7 9 10 10","1 2 3 5 7 7 9 10 10 10 12","1 2 2 2 2 3 4","3 5 7 9 10 10 12 12"}

    Returns: 263

  61. {"1 2 3 3 5 6 7 9 11 13","1 1 2 4 4 6 7","3 3 5 7 8 8 8 9","1 1 2 3 4 5 5","3 3 3 5 6 7 7","1 3 4 5 6 8 10 11 11 11 12 13 14","1 3 5 6 6 6 7 7 7 7 8 9","3 3 5 6 6 7 7 9 9 10","2 4 6 8 10 11 13 13 13","2 2 2 4 4 4 6 6 7 8","2 3 4 6 6 6 6 7 8","3 5 5 7 8 10 10","3 3 4 4 4 6 8 8 9 11","2 2 2 3 3 5 7 7 7 7","1 1 2 3 4 6 6 6 8","1 2 2 4 4","3 5 5 6 6 7","3 3 5 7 8 8","2 4 5 7 8 9","2 3 5 7 8 9 10 10 11 11 13","1 2 3 5 5 6 7 8 9 10","1 3 4 4 4 5 6 8 9","2 2 2 4 4 6 6","1 1 1 1 2","3 3 4 4 5 7","1 2 4 4 6","1 1 1 1 3 5 5 7 8 8 9","1 3 5 5 6 6 8","1 2 4 4 4 4 6","1 3 4 4 4 5"}

    Returns: 152

  62. {"2 4 5 6 6 7","2 4 6 8 8 8 9 11 11 12","1 2 4 4 5 6","1 2 2 3 4 4 6","2 4 4 4 5 6 7 8","3 3 4 5 5 6 6 8 8","2 2 2 3 3 3 4","3 3 3 5 5 7 8 9 11 11","1 1 2 3 3 3 5 6 8 9 11 13","3 5 6 8 9 10 12","1 1 2 2 4 5 5 5","1 2 2 3 4 6 8 10 11","2 3 4 6 6 6 8 9 11","3 5 6 6 7 8 9 9 9 9 10 10","1 2 2 4 4 6 7 9 10 12 14","1 1 2 3 4 5 5 5 6","2 2 3 4 6 8 10 12","3 3 4 6 7 8 10 10 11 13 13","3 5 7 9 11 11","3 3 3 5 5 7 8 10 12 12 14 14 14","2 3 4 4 5 5 7 7 9 10 12","2 4 4 6 7 9 10 12","1 3 5 5 5 5 5 7","3 4 5 5 5 7 9 9 10","1 3 5 5 6","1 3 3 3 3 3 3 3 4 5","1 2 3 3 3 3 4 6 7","3 5 7 9 9 11 12","2 2 2 2 2 2 3 5 6","2 4 5 6 8 10 10 12 12","3 3 5 7 9","2 4 6 7 8 9 9 11 13 14","3 4 4 4 5 7 9 9 10 10 11","2 2 3 5 7 9 11 12 14 15","1 1 1 1 3 3","1 1 1 2 4 6 7 8","3 4 4 4 6 7 7 9 11 13 13 13","2 4 6 6 8 9 10","3 4 4 6 6 6 8","1 2 4 6 8 10 11 12 12 14","3 5 6 7 7 7 9 9 11","2 3 4 5 5 7 9 10","3 3 3 4 4 4 6 7","3 3 5 7 7"}

    Returns: 251

  63. {"3 5 5 6 6 8 10","2 3 3 3 3 4 4 5 6 6","3 4 6 7 9 9 11","3 4 6 7 8 10","2 4 6 7 7 7 9","3 3 3 4 6 6 8 10 10 10 12","2 4 4 5 6 6 6 8","3 3 5 6 7","1 1 3 3 4 5 7","1 1 2 2 3 4","3 5 5 7 9 9 11 13 14 14 16","3 4 6 7 9 11 13 13 15 17 18 18","2 4 5 5 7 9 10 11 13 14","2 3 3 3 3 5 7 7 9 10 11","1 1 1 2 2 4 6 7 7","3 5 6 8 9 11","2 3 4 6 7 8 8 8","1 2 2 3 4 4 6 7","2 4 4 5 7 8","2 2 3 3 5 5","3 5 5 6 6 7 7","2 4 4 5 5 6 6","3 5 5 6 6 7","1 3 4 4 5 7 9","2 3 3 4 5 6 7 9 9 9","2 4 4 5 7 8 10","3 3 3 3 5 5 7 8 10 11 11","2 4 6 8 8 10 10 12 14 16 18","2 2 2 2 2 3 3 3 5","3 3 5 5 6","1 3 4 5 6 7 8 10 11 13","2 2 4 5 7","2 4 5 7 9","1 1 1 1 2 2 4 5 6 6 7","2 2 4 6 6 7 9 10 10 12","3 5 5 5 6 7 9","3 3 5 7 7 9 9 11","1 1 1 1 2 3 3","2 2 4 4 5 6 6 7 7 9","1 1 2 4 4 4 4 4 6","1 1 1 2 2 4 5 7 8","3 4 5 5 7 8 8 10","3 5 5 6 8 10 10","2 2 3 3 4 4 4","2 4 4 4 4 5 5 7","1 3 3 4 6 7 7 7 8 9","2 2 3 5 5 6 8 9 10","2 3 5 6 8 10 11","3 3 5 6 7 7 8","3 4 4 5 6 8 10 12 13 13 14 14"}

    Returns: 268

  64. {"3 5 7 8 9 11 12 14","2 3 5 7 8 8 9 9"}

    Returns: 5

  65. {"3 4 5 6 8 10 12 12","1 1 2 4 4 4 6 8","1 3 4 6 8 8 10 11","3 4 6 8 10","2 3 4 6 8 10","2 2 2 3 3 4 4","2 2 4 4 6 7 8 8 9","2 3 5 6 6 6","2 4 6 6 6 7 9 10 10 10 12","2 3 3 5 7 7 7 8 8 10","1 2 2 4 4 5 7 8","3 4 4 6 7 8 10 12","1 2 3 5 6 8 8 8 8 9","2 3 3 4 5 7 9 10 12","2 4 6 7 8 8 10 12 14 14 16","2 4 5 6 6 7","2 2 2 3 4","1 2 4 5 7 8 8 8 9","3 3 3 4 5 6 7 8","1 2 2 2 4 6 7 9 11","3 5 7 9 11 11 12 13 14 14","3 5 7 8 8 10 12 14 14 16 16","1 2 4 5 7","3 3 5 5 6 6","1 2 2 4 6 7 9 10 11 13","2 3 5 6 8 8 8","2 3 4 5 5 5 5 6 8 8 8 8","2 2 4 4 5 7 8 10 10 10","1 3 4 4 5 7 8 10 12 13","3 5 6 7 9 9 9 9 10","2 3 3 5 6 8 9 10","1 3 5 5 5 5 5 6 7","2 4 4 4 5 6 7 7 9 10","3 5 7 8 8 10 11 12 13","1 3 4 4 6 7 9 10 10","2 2 2 4 4 4","3 4 6 6 7 9 9 11 12 13 13","3 5 5 7 8 8 9 9 11"}

    Returns: 221

  66. {"1 1 2 4 6 8","1 3 5 5 6 7 9 10 12 12","2 4 6 8 9 11 11 11 12 13","3 4 5 7 7 9","3 5 7 9 9 9 10 12 12","3 3 5 6 8 8 9","1 1 1 2 4 4 4 6","3 4 4 4 4 4 6 8 8 8","2 2 3 4 4 6 8 9 9 10 10","2 4 5 7 7 9 10 10 12 12","3 4 6 7 7 8 9 9 10","2 2 2 4 4 6 6 7","2 2 3 3 4 4","3 3 4 4 6 6 8 8 9","2 3 5 6 6 8 8 10","1 2 2 4 5 6 8 8 8","2 3 3 4 5 6 7 9 11 13 15 15","3 3 3 4 6 7","1 2 2 4 6 8 9 9","1 3 5 5 6 7 7","1 1 1 3 5 6 7 8 9","1 3 3 5 6 6 7 8 8","3 5 6 7 8 9 11 12 13","1 3 5 6 7 7 9 11 11"}

    Returns: 131

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