Statistics

Problem Statement for "PlugStuffIn"

Problem Statement

You have a collection of power cords and devices that use electricity. We will refer to them as "cords" and "devices", and we will use the word "gadgets" to refer to both cables and devices.

Each gadget has exactly one plug.

Devices have no sockets. Cords have one or more sockets. Different cords may have a different number of sockets.

Additionally, there is exactly one socket on the wall: the power outlet.

All plugs have the same shape, all sockets have the same shape, and they all match.


You want to plug all your devices into electricity at the same time. (Plugging in all the cords is optional.)

Determine whether it is possible, and if it is, find one way of doing so.


You are given the int[] gadgets with N elements. This array describes a collection of N gadgets, numbered from 0 to N-1. For each i, gadgets[i] is the number of sockets on gadget number i. (Hence, gadgets with gadgets[i] = 0 are the devices and all other gadgets are the cords.)

If it is possible to plug in all the devices, find one way of doing so and return a int[] that describes it. For each j, element j of the return value should be the number of the gadget into which gadget j is plugged. Use the value -1 for a gadget that remains unplugged, and the value N for a gadget that is plugged into the wall socket.

If there is no solution, return an empty int[] instead.

Definition

Class:
PlugStuffIn
Method:
plug
Parameters:
int[]
Returns:
int[]
Method signature:
int[] plug(int[] gadgets)
(be sure your method is public)

Constraints

  • gadgets will contain between 0 and 50 elements, inclusive.
  • Each element of gadgets will be between 0 and 50, inclusive.

Examples

  1. {0}

    Returns: {1 }

    A single device. The only solution is to plug the device into the wall.

  2. {1, 1, 0, 1, 1, 1}

    Returns: {-1, -1, 4, -1, 6, -1 }

    A single device and five extension cords (each with one socket). Our example return value describes a solution in which we plug cord 4 into the wall and then device 2 into cord 4. Other solutions exist, including the one in which we plug the device straight into the wall and we ignore the cords.

  3. {1, 1, 0, 1, 1, 1, 0}

    Returns: { }

    Now we have two devices. The extension cords are useless - regardless of whether we use them or not, there is no way to plug both devices at the same time.

  4. {0, 0, 2, 0, 2}

    Returns: {2, 4, 5, 4, 2 }

    We have to use everything. In our solution, cord 2 goes into the wall and cord 4 into one of the two sockets on cord 2. This leaves three empty sockets that now all have power: the unused one on cord 2 and both sockets on cord 4. Thus, we can plug our three devices in (taking care to plug each of them into its own socket).

  5. {0, 3, 3}

    Returns: {3, 2, 1 }

    We have a device + two cords, each with three sockets. In our solution we have plugged the device into the wall, cord 1 into one of the sockets on cord 2, and cord 2 into one of the sockets on cord 1. Note that the two cords now don't have power - they are only plugged into each other, but they aren't connected to the electrical network. If we were to plug another device into one of their sockets, that device would not have electricity, and thus such a configuration would NOT be a valid solution.

  6. {10, 20, 30, 40}

    Returns: {-1, 1, -1, -1 }

    No devices here, so we don't have to do anything. But just for good fun we plugged cable 1 (the one with 20 sockets) into one of its own sockets. (As in the previous example, this cable doesn't have electricity.)

  7. {0, 0}

    Returns: { }

  8. {1}

    Returns: {1 }

  9. {47}

    Returns: {1 }

  10. {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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  11. {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, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  12. {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, 0, 0, 0, 49, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 50, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32 }

  13. {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, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 50, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32 }

  14. {1, 6, 8, 7, 9, 5, 4, 8, 6, 6, 9, 0, 6, 10, 0, 1, 0, 4, 7, 8, 0, 5, 9, 6, 3, 3, 8, 8, 5, 7, 3, 0, 8, 5, 5, 9, 5, 8, 9, 3, 3, 0, 2, 5, 1}

    Returns: {45, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 1, 10, 12, 1, 13, 1, 15, 17, 18, 1, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 1, 30, 32, 33, 34, 35, 36, 37, 38, 39, 2, 40, 42, 43 }

  15. {9, 6, 8, 8, 4, 1, 10, 3, 5, 3, 7, 1, 6, 9, 5, 10, 4, 3, 8, 4, 5, 8, 9, 0, 7, 4, 9, 6, 4, 8, 3, 9, 1, 10, 3, 6, 7, 4, 9, 8, 2, 7, 0, 2, 8}

    Returns: {45, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 0, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 0, 41, 43 }

  16. {1, 1, 4, 8, 9, 8, 7, 6, 5, 0, 9, 4, 10, 9, 8, 10, 7, 10, 5, 0, 9, 3, 3, 5, 6, 2, 2, 7, 3, 2, 1, 2, 9, 5, 8, 6, 1, 4, 7, 0, 10, 1, 6, 1, 5, 0, 4, 0, 2, 2}

    Returns: {50, 0, 1, 2, 3, 4, 5, 6, 7, 2, 8, 10, 11, 12, 13, 14, 15, 16, 17, 2, 18, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 2, 38, 40, 41, 42, 43, 3, 44, 3, 46, 48 }

  17. {7, 3, 7, 8, 7, 9, 9, 0, 1, 2, 2, 8, 5, 10, 0, 9, 3, 0, 6, 1, 0, 1, 4, 0, 8, 4, 3, 9, 8, 2, 8, 9, 4, 9, 9, 1, 9, 7, 5, 8, 0, 1, 6, 6, 5, 4, 9, 7}

    Returns: {48, 0, 1, 2, 3, 4, 5, 0, 6, 8, 9, 10, 11, 12, 0, 13, 15, 0, 16, 18, 0, 19, 21, 0, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 0, 39, 41, 42, 43, 44, 45, 46 }

  18. {2, 1, 8, 1, 7, 10, 7, 0, 6, 9, 8, 1, 4, 7, 8, 1, 3, 5, 5, 2, 7, 0, 9, 1, 10, 7, 7, 4, 10, 8, 10, 0, 8, 3, 10, 4, 0, 4, 8, 7, 6, 1, 1, 8, 9, 9, 7, 8, 5}

    Returns: {49, 0, 1, 2, 3, 4, 5, 0, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 2, 20, 22, 23, 24, 25, 26, 27, 28, 29, 2, 30, 32, 33, 34, 2, 35, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47 }

  19. {4, 6, 10, 3, 10, 1, 1, 8, 4, 6, 5, 8, 5, 1, 1, 9, 6, 5, 0, 5, 9, 0, 6, 10, 4, 4, 3, 4, 3, 7, 10, 4, 7, 7, 5, 10, 0, 2, 9, 7, 0, 0, 6, 7, 8, 7, 9, 4, 4}

    Returns: {49, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 0, 17, 19, 0, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 0, 35, 37, 38, 1, 1, 39, 42, 43, 44, 45, 46, 47 }

  20. {4, 1, 2, 6, 5, 7, 6, 3, 8, 9, 8, 4, 5, 8, 0, 9, 10, 6, 9, 9, 9, 9, 7, 9, 8, 2, 10, 6, 0, 2, 9, 2, 9, 1, 7, 6, 0, 3, 7, 2, 9}

    Returns: {41, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 0, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 0, 27, 29, 30, 31, 32, 33, 34, 0, 35, 37, 38, 39 }

  21. {0, 9, 2, 1, 8, 6, 0, 6, 7, 7, 10, 5, 1, 8, 6, 1, 1, 6, 6, 8, 1, 9, 2, 10, 7, 7, 7, 9, 1, 6, 8, 8, 5, 6, 3, 5, 6, 1, 2, 7, 5, 10, 10, 1, 4, 7}

    Returns: {1, 46, 1, 2, 3, 4, 1, 5, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44 }

  22. {5, 0, 6, 9, 1, 9, 3, 8, 10, 3, 8, 4, 4, 8, 9, 1, 8, 0, 4, 2, 7, 3, 6, 9, 7, 0, 9, 6, 9, 3, 10, 8, 5, 1, 5, 1, 2, 9, 1, 3, 2}

    Returns: {41, 0, 0, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 0, 16, 18, 19, 20, 21, 22, 23, 0, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 }

  23. {2, 8, 2, 2, 1, 1, 2, 9, 6, 5, 1, 6, 4, 8, 10, 3, 10, 5, 1, 10, 5, 1, 0, 3, 8, 2, 5, 1, 5, 10, 6, 8, 8, 9, 10, 5, 8, 8, 6, 10, 7}

    Returns: {41, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39 }

  24. {10, 6, 7, 0, 3, 5, 0, 9, 6, 1, 7, 9, 1, 1, 5, 6, 0, 5, 2, 10, 6, 7, 8, 7, 8, 1, 3, 3, 10, 0, 8, 7, 5, 2, 10, 2, 4, 1, 0, 9, 4, 0, 10, 9, 10, 0}

    Returns: {46, 0, 1, 0, 2, 4, 0, 5, 7, 8, 9, 10, 11, 12, 13, 14, 0, 15, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 28, 30, 31, 32, 33, 34, 35, 36, 0, 37, 39, 0, 40, 42, 43, 0 }

  25. {5, 3, 8, 3, 5, 5, 2, 3, 7, 9, 0, 4, 9, 10, 4, 6, 1, 6, 6, 5, 7, 4, 0, 9, 7, 3, 4, 6, 0, 0, 6, 3, 6, 5, 8, 1, 5, 9, 10, 5, 7, 1, 1, 7}

    Returns: {44, 0, 1, 2, 3, 4, 5, 6, 7, 8, 0, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 21, 23, 24, 25, 26, 0, 0, 27, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42 }

  26. {1, 2, 3, 3, 6, 7, 3, 4, 0, 1, 9, 9, 0, 4, 8, 3, 8, 5, 7, 3, 5, 6, 0, 10, 10, 9, 6, 5, 8, 5, 0, 1, 0, 4, 0, 9, 3, 8, 9, 0, 0, 8, 9, 0}

    Returns: {44, 0, 1, 2, 3, 4, 5, 6, 1, 7, 9, 10, 2, 11, 13, 14, 15, 16, 17, 18, 19, 20, 2, 21, 23, 24, 25, 26, 27, 28, 3, 29, 3, 31, 4, 33, 35, 36, 37, 4, 4, 38, 41, 4 }

  27. {7, 3, 1, 4, 10, 10, 6, 8, 5, 0, 1, 4, 9, 4, 0, 9, 7, 7, 6, 5, 1, 4, 6, 5, 1, 6, 6, 2, 4, 0, 0, 9, 10, 9, 3, 2, 8, 3, 1, 0, 6, 6, 6, 6, 9, 2}

    Returns: {46, 0, 1, 2, 3, 4, 5, 6, 7, 0, 8, 10, 11, 12, 0, 13, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 0, 28, 31, 32, 33, 34, 35, 36, 37, 0, 38, 40, 41, 42, 43, 44 }

  28. {6, 8, 10, 7, 4, 10, 10, 2, 1, 0, 9, 3, 9, 2, 1, 0, 2, 1, 8, 2, 9, 4, 9, 9, 6, 8, 7, 9, 9, 0, 2, 9, 8, 9, 10, 2, 3, 1, 2, 4, 9, 7}

    Returns: {42, 0, 1, 2, 3, 4, 5, 6, 7, 0, 8, 10, 11, 12, 13, 0, 14, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 0, 28, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40 }

  29. {7, 7, 9, 4, 6, 7, 9, 2, 0, 6, 7, 7, 6, 5, 5, 8, 4, 4, 6, 6, 0, 9, 8, 4, 2, 7, 6, 1, 10, 1, 9, 0, 5, 10, 5, 10, 10, 9, 2, 0, 4, 5, 2, 9, 0, 6, 7, 5, 2, 4}

    Returns: {50, 0, 1, 2, 3, 4, 5, 6, 0, 7, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 0, 30, 32, 33, 34, 35, 36, 37, 0, 38, 40, 41, 42, 0, 43, 45, 46, 47, 48 }

  30. {5, 6, 10, 1, 3, 10, 2, 9, 3, 4, 10, 3, 7, 8, 5, 2, 8, 5, 1, 2, 2, 9, 3, 8, 9, 8, 5, 10, 10, 8, 3, 10, 3, 0, 5, 6, 2, 7, 9, 2, 3, 6, 10, 0}

    Returns: {44, 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, 30, 31, 0, 32, 34, 35, 36, 37, 38, 39, 40, 41, 0 }

  31. {5, 8, 8, 1, 4, 1, 2, 10, 8, 9, 10, 3, 4, 9, 6, 1, 4, 8, 5, 1, 6, 5, 10, 8, 3, 4, 4, 9, 10, 10, 5, 9, 0, 9, 3, 4, 7, 5, 1, 2, 9, 2, 4, 5, 4, 1, 4}

    Returns: {47, 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, 30, 0, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45 }

  32. {0, 4, 9, 10, 3, 3, 10, 7, 7, 1, 6, 10, 0, 10, 9, 2, 1, 6, 4, 3, 6, 3, 1, 3, 10, 10, 10, 3, 8, 1, 8, 6, 4, 5, 5, 1, 1, 5, 7, 3, 1, 10, 1}

    Returns: {1, 43, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 1, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41 }

  33. {10, 5, 9, 7, 3, 0, 5, 4, 10, 6, 4, 9, 0, 1, 4, 7, 8, 3, 8, 8, 7, 4, 5, 6, 8, 3, 9, 10, 10, 5, 9, 10, 3, 9, 2, 3, 3, 0, 0, 9, 8, 9, 4, 9, 4, 3, 5, 9}

    Returns: {48, 0, 1, 2, 3, 0, 4, 6, 7, 8, 9, 10, 0, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 0, 0, 36, 39, 40, 41, 42, 43, 44, 45, 46 }

  34. {10, 8, 5, 8, 2, 5, 5, 2, 2, 10, 7, 1, 0, 6, 7, 7, 4, 9, 1, 10, 7, 10, 4, 5, 4, 3, 6, 1, 4, 9, 6, 5, 7, 4, 2, 3, 2, 5, 3, 4, 0, 3, 9, 7, 0, 5, 0, 10, 4}

    Returns: {49, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 11, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 0, 39, 41, 42, 0, 43, 0, 45, 47 }

  35. {8, 6, 8, 3, 7, 7, 0, 1, 2, 6, 7, 2, 3, 0, 6, 10, 7, 8, 8, 1, 8, 0, 8, 7, 8, 7, 9, 2, 2, 3, 4, 10, 5, 3, 8, 10, 7, 8, 4, 7, 4, 5, 8, 1}

    Returns: {44, 0, 1, 2, 3, 4, 0, 5, 7, 8, 9, 10, 11, 0, 12, 14, 15, 16, 17, 18, 19, 0, 20, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42 }

  36. {4, 3, 0, 2, 3, 7, 1, 5, 8, 10, 10, 3, 5, 10, 1, 4, 8, 2, 4, 5, 2, 2, 1, 2, 0, 8, 2, 9, 10, 8, 9, 9, 1, 4, 0, 5, 2, 1, 7, 4, 1, 4, 3}

    Returns: {43, 0, 0, 1, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 0, 23, 25, 26, 27, 28, 29, 30, 31, 32, 0, 33, 35, 36, 37, 38, 39, 40, 41 }

  37. {7, 9, 2, 2, 3, 8, 3, 9, 4, 4, 10, 7, 0, 4, 3, 0, 6, 2, 4, 7, 3, 7, 0, 5, 10, 3, 6, 8, 2, 2, 2, 9, 0, 3, 5, 9, 6, 10, 4, 4, 10, 1, 4, 3, 0, 8, 7, 4, 3}

    Returns: {49, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 0, 11, 13, 0, 14, 16, 17, 18, 19, 20, 0, 21, 23, 24, 25, 26, 27, 28, 29, 30, 0, 31, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 0, 43, 45, 46, 47 }

  38. {7, 2, 2, 8, 4, 7, 4, 4, 9, 0, 4, 0, 10, 1, 9, 9, 6, 9, 8, 6, 2, 6, 6, 10, 8, 3, 8, 8, 6, 7, 8, 2, 4, 6, 5, 5, 1, 6, 6, 2, 1, 6, 3, 3}

    Returns: {44, 0, 1, 2, 3, 4, 5, 6, 7, 0, 8, 0, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42 }

  39. {4, 8, 0, 5, 6, 8, 4, 3, 4, 1, 10, 0, 3, 2, 9, 5, 5, 1, 10, 7, 4, 4, 9, 5, 3, 0, 4, 7, 3, 10, 1, 8, 4, 2, 6, 4, 9, 3, 8, 4}

    Returns: {40, 0, 0, 1, 3, 4, 5, 6, 7, 8, 9, 0, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 0, 24, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38 }

  40. {2, 5, 2, 4, 7, 1, 4, 4, 2, 6, 10, 3, 3, 2, 1, 4, 8, 2, 7, 4, 0, 1, 10, 8, 3, 3, 1, 3, 7, 6, 4, 4, 0, 5, 5, 6, 1, 1, 5, 4, 8, 3}

    Returns: {42, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 0, 19, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 1, 31, 33, 34, 35, 36, 37, 38, 39, 40 }

  41. {2, 3, 10, 7, 8, 10, 3, 0, 2, 0, 9, 5, 3, 10, 5, 3, 3, 7, 5, 3, 6, 2, 7, 9, 9, 3, 0, 6, 7, 3, 6, 0, 6, 9, 8, 1, 7, 3, 6, 3, 0, 3, 7, 8, 0, 8, 4, 7, 5}

    Returns: {49, 0, 1, 2, 3, 4, 5, 0, 6, 1, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 1, 25, 27, 28, 29, 2, 30, 32, 33, 34, 35, 36, 37, 38, 2, 39, 41, 42, 2, 43, 45, 46, 47 }

  42. {9, 10, 8, 10, 8, 6, 9, 3, 10, 0, 3, 3, 7, 9, 7, 7, 6, 8, 6, 2, 6, 5, 0, 8, 5, 8, 1, 9, 5, 8, 6, 4, 2, 0, 3, 0, 9, 4, 4, 2, 5, 9, 5, 3}

    Returns: {44, 0, 1, 2, 3, 4, 5, 6, 7, 0, 8, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 0, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 0, 32, 0, 34, 36, 37, 38, 39, 40, 41, 42 }

  43. {9, 8, 2, 3, 1, 2, 5, 0, 2, 2, 6, 10, 4, 8, 1, 9, 8, 2, 3, 5, 7, 8, 4, 1, 5, 4, 0, 10, 8, 4, 8, 4, 7, 8, 9, 7, 2, 5, 2, 10, 3, 0, 1, 0, 6, 7, 3, 10, 10}

    Returns: {49, 0, 1, 2, 3, 4, 5, 0, 6, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 0, 25, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 0, 40, 0, 42, 44, 45, 46, 47 }

  44. {0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 8, 8, 3, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0}

    Returns: {5, 13, 13, 13, 13, 39, 13, 13, 13, 14, 14, 14, 14, 5, 13, 14, 14, 14, 14, 15, 15, 23, 23, 15, 23, 23, 23, 23, 33, 33, 33, 33, 33, 23, 33, 33, 33, 33, 33 }

  45. {3, 0, 0, 0, 3, 2, 1, 0, 1, 1, 0, 0, 1, 1, 4, 2, 0, 0, 0, 0, 0, 1, 1, 2}

    Returns: {24, 0, 0, 4, 0, 4, 5, 4, 6, 8, 5, 14, 9, 12, 13, 14, 14, 14, 15, 23, 23, 15, 21, 22 }

  46. {0, 0, 0, 2, 5, 0, 2, 1, 0, 1, 0}

    Returns: {3, 4, 4, 11, 3, 4, 4, 6, 4, 7, 6 }

  47. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 36, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13, 13 }

  48. {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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0}

    Returns: {41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 41, 45, 41, 41, 41 }

  49. {0, 3, 1, 0, 0, 1, 0, 2, 0, 0, 0, 3, 1, 1, 2, 1, 0, 0, 2, 5, 2, 2, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 0, 0, 1, 5, 0, 1, 1}

    Returns: {1, 39, 1, 1, 7, 2, 11, 5, 11, 14, 18, 7, 11, 12, 13, 14, 19, 19, 15, 18, 19, 20, 19, 19, 20, 21, 21, 26, 35, 27, 29, 30, 35, 35, 31, 34, 35, 35, 37 }

  50. {2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 1, 5, 0, 3, 3, 0, 0, 4, 2, 3, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 4, 0, 2, 0}

    Returns: {47, 0, 10, 10, 10, 19, 19, 19, 23, 23, 0, 23, 23, 25, 25, 26, 26, 29, 29, 10, 29, 30, 19, 22, 31, 23, 25, 31, 33, 26, 29, 30, 33, 31, 33, 37, 37, 33, 37, 37, 37, 43, 43, 37, 43, 43, 45 }

  51. {0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 4, 0, 7, 4, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {3, 3, 3, 33, 3, 3, 10, 10, 10, 10, 3, 17, 17, 17, 19, 19, 19, 10, 19, 17, 19, 19, 19, 20, 20, 20, 20, 23, 23, 23, 23, 23, 23 }

  52. {0, 0, 0, 0, 2, 0, 1, 0, 0, 2, 0, 1, 6, 3, 0, 0, 0, 3, 0, 3, 6, 0, 0, 0, 0, 0, 0, 1, 0, 4, 0, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 3, 0, 0, 3, 2, 0, 2, 2}

    Returns: {4, 9, 12, 12, 49, 12, 4, 12, 12, 6, 13, 9, 11, 12, 13, 17, 17, 13, 19, 17, 19, 19, 20, 20, 20, 20, 20, 20, 29, 27, 29, 29, 34, 35, 29, 34, 35, 41, 41, 44, 44, 35, 45, 47, 41, 44, 48, 45, 47 }

  53. {0, 0, 0, 0, 0, 3, 3, 0, 1, 2, 3, 0, 2, 0, 0, 2, 2, 2, 1, 0, 0, 3, 1, 0, 0, 0, 1, 0, 0, 4}

    Returns: {5, 5, 6, 6, 9, 30, 5, 10, 6, 8, 9, 10, 10, 12, 15, 12, 15, 16, 17, 16, 17, 18, 21, 21, 21, 29, 22, 29, 29, 26 }

  54. {0, 0, 0, 0, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 3, 0, 6, 0, 0, 0, 0, 0, 0, 4}

    Returns: {6, 6, 8, 8, 8, 8, 30, 8, 6, 17, 17, 17, 17, 17, 17, 20, 20, 8, 22, 22, 17, 22, 20, 22, 22, 29, 29, 29, 29, 22 }

  55. {0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 6, 0, 0, 0, 0, 0, 0, 8, 0, 7, 9, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {1, 49, 1, 1, 1, 1, 11, 11, 11, 14, 14, 1, 14, 14, 11, 14, 21, 21, 21, 21, 21, 14, 21, 21, 23, 24, 21, 23, 23, 23, 23, 23, 23, 24, 24, 24, 24, 24, 24, 24, 24, 25, 25, 25, 25, 25, 25, 25, 25 }

  56. {0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 5, 0, 0, 0, 0, 0, 0, 0, 5, 0, 5, 0, 0, 5, 0, 10, 0, 0, 0, 0}

    Returns: {4, 4, 4, 11, 42, 11, 11, 20, 20, 20, 22, 4, 22, 22, 22, 30, 30, 30, 30, 32, 11, 32, 20, 32, 32, 35, 35, 35, 35, 37, 22, 37, 30, 37, 37, 32, 37, 35, 37, 37, 37, 37 }

  57. {4, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0}

    Returns: {18, 0, 0, 0, 6, 6, 0, 6, 6, 6, 15, 15, 15, 15, 15, 6, 15, 15 }

  58. {3, 0, 0, 2, 3, 0, 3, 0, 0, 0, 3, 7, 0, 0, 0, 1, 0, 0, 0, 1, 2, 4, 0, 0, 3, 0, 0, 0, 0, 0, 2, 0, 2, 0, 0, 0, 0}

    Returns: {37, 0, 0, 0, 3, 3, 4, 4, 4, 6, 6, 10, 6, 10, 10, 11, 11, 11, 11, 15, 19, 20, 11, 11, 21, 11, 20, 21, 21, 21, 24, 24, 30, 24, 30, 32, 32 }

  59. {0, 0, 0, 0, 44, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {4, 4, 4, 4, 45, 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, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4 }

  60. {0, 0, 0, 0, 0, 0, 0, 3, 1, 4, 0, 0, 4, 0, 0, 4, 0, 6, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 4, 0, 2, 0, 0, 0, 0, 4, 2, 2, 5, 0, 0, 0, 0, 0}

    Returns: {7, 7, 9, 9, 9, 12, 12, 47, 7, 8, 12, 15, 9, 15, 15, 12, 17, 15, 17, 17, 17, 17, 17, 18, 23, 29, 31, 31, 31, 23, 33, 29, 38, 31, 38, 38, 39, 40, 33, 38, 39, 40, 41, 41, 41, 41, 41 }

  61. {1, 0, 0, 0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 0, 3, 0, 6, 4, 0, 0, 3, 0, 0, 0, 0, 0, 0, 3}

    Returns: {28, 9, 10, 11, 14, 14, 16, 16, 0, 8, 9, 10, 16, 16, 11, 16, 14, 16, 17, 17, 17, 17, 20, 20, 27, 27, 27, 20 }

  62. {5, 0, 0, 0, 0, 0, 0, 3, 0, 0, 4, 0, 0, 0, 0, 0, 3, 3, 0, 0, 0, 1, 1, 0, 0, 2, 2, 6, 4, 0, 0, 0, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 5, 0, 0, 3, 0}

    Returns: {49, 0, 0, 0, 0, 7, 7, 0, 10, 10, 7, 10, 16, 16, 17, 17, 10, 16, 25, 26, 27, 17, 21, 27, 27, 22, 25, 26, 27, 27, 27, 28, 28, 28, 28, 33, 38, 38, 33, 38, 44, 44, 44, 44, 38, 47, 47, 44, 47 }

  63. {0, 0, 0, 0, 10, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 6, 0, 5, 4, 0, 0, 0, 0, 0, 0}

    Returns: {4, 4, 4, 4, 46, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 18, 18, 18, 5, 18, 24, 24, 24, 35, 18, 35, 35, 35, 35, 36, 36, 36, 36, 36, 38, 24, 35, 38, 36, 38, 38, 38, 39, 39, 39, 39 }

  64. {0, 0, 0, 0, 10, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 9, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0}

    Returns: {4, 4, 4, 4, 49, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 16, 6, 16, 16, 16, 16, 16, 16, 30, 30, 30, 30, 30, 31, 31, 16, 30, 31, 31, 31, 31, 31, 31, 45, 45, 45, 45, 45, 45, 45, 31, 45, 45, 45 }

  65. {0, 1, 2, 2, 0, 0, 0, 2, 4, 0, 0, 0, 0, 6, 2, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0, 0, 3, 2, 5, 0, 0}

    Returns: {2, 33, 1, 2, 3, 7, 8, 3, 7, 8, 8, 13, 13, 8, 13, 14, 13, 13, 13, 15, 19, 14, 20, 28, 28, 29, 30, 30, 20, 28, 29, 30, 30 }

  66. {0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 21, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {2, 2, 32, 2, 2, 2, 2, 2, 2, 2, 2, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 2, 23, 23, 23, 23, 23, 23, 23, 23 }

  67. {0, 1, 0, 0, 7, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8}

    Returns: {4, 24, 4, 4, 1, 4, 4, 4, 10, 10, 4, 10, 10, 10, 10, 23, 23, 23, 23, 23, 23, 23, 23, 10 }

  68. {1, 1, 3, 1, 1, 3, 1, 2, 1, 0, 1, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 0, 2, 1, 0, 2, 1, 0, 1, 0, 0, 0, 0, 1, 1, 2, 3}

    Returns: {37, 0, 1, 2, 3, 4, 5, 6, 7, 2, 8, 2, 5, 5, 10, 14, 7, 14, 15, 18, 19, 18, 20, 22, 22, 23, 25, 25, 26, 35, 36, 36, 36, 28, 33, 34, 35 }

  69. {3, 0, 6, 0, 1, 2, 0, 3, 0, 0, 1, 0, 2, 0, 0, 2, 0, 0, 2, 2, 0, 2, 1, 0, 0, 2, 3, 0, 0, 0, 0, 1, 3, 0, 0, 0, 0, 1}

    Returns: {38, 0, 0, 0, 2, 4, 2, 5, 2, 2, 7, 2, 10, 2, 5, 12, 7, 7, 15, 18, 12, 19, 21, 15, 18, 22, 25, 19, 21, 25, 26, 26, 31, 26, 32, 32, 37, 32 }

  70. {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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 49, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38 }

  71. {0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 17, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {2, 2, 50, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 14, 38, 38, 38, 38, 38, 14, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38, 38 }

  72. {0, 0, 2, 3, 2, 0, 2, 0, 0, 1, 6, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2, 2, 2, 4, 0, 1, 0, 0, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 0, 3, 0}

    Returns: {2, 3, 41, 2, 3, 3, 4, 4, 6, 6, 9, 10, 10, 10, 12, 10, 10, 10, 14, 18, 18, 20, 21, 22, 20, 23, 21, 22, 23, 25, 29, 30, 31, 23, 23, 30, 31, 39, 39, 32, 39 }

  73. {0, 1, 2, 1, 1, 0, 2, 2, 1, 0, 0, 2, 0, 1, 4, 1, 0, 0, 0, 0, 2, 1, 1}

    Returns: {2, 23, 1, 2, 3, 6, 4, 6, 7, 7, 11, 8, 14, 11, 13, 14, 14, 14, 20, 22, 15, 20, 21 }

  74. {2, 2, 2, 1, 1, 1, 0, 1, 2, 0, 1, 1, 2, 1, 0, 0, 1, 4, 0, 0, 1, 0, 0, 0, 1, 2, 2, 1, 2, 2, 1, 2, 0, 1, 1, 0, 1, 1, 1, 0, 1, 1, 0, 0}

    Returns: {44, 0, 1, 2, 3, 4, 0, 5, 7, 1, 8, 10, 11, 12, 2, 8, 13, 16, 12, 17, 17, 17, 17, 25, 20, 24, 25, 26, 27, 28, 29, 30, 26, 31, 33, 28, 34, 36, 37, 29, 38, 40, 31, 41 }

  75. {0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 1, 0, 0, 0, 0, 8}

    Returns: {6, 6, 6, 7, 7, 7, 17, 6, 16, 16, 16, 7, 16, 16, 16, 16, 11 }

  76. {2, 2, 0, 0, 0, 0, 0, 0, 0, 1, 3, 2, 0, 0, 0, 0, 1, 0, 1, 2, 0, 1, 3, 0, 0, 0, 1, 2, 2, 0, 1, 0, 4, 3, 4, 2, 0, 3, 4, 0, 0, 0, 0, 1, 1, 0, 1, 0, 2}

    Returns: {49, 0, 0, 1, 10, 10, 11, 19, 22, 1, 9, 10, 22, 27, 28, 32, 11, 32, 16, 18, 32, 19, 21, 33, 33, 34, 22, 26, 27, 34, 28, 34, 30, 32, 33, 34, 35, 35, 37, 37, 37, 38, 38, 38, 43, 38, 44, 48, 46 }

  77. {1, 4, 0, 0, 3, 2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 2, 0, 3, 0, 1, 0, 0, 3, 1}

    Returns: {28, 0, 1, 1, 1, 4, 1, 5, 4, 7, 4, 5, 9, 12, 16, 19, 13, 16, 21, 17, 21, 19, 26, 21, 26, 27, 23, 26 }

  78. {0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {4, 4, 4, 4, 46, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32 }

  79. {0, 0, 10, 0, 0, 0, 0, 5, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {2, 2, 38, 2, 2, 2, 2, 2, 2, 2, 2, 7, 7, 7, 7, 7, 11, 11, 11, 11, 11, 11, 11, 24, 11, 24, 24, 24, 24, 24, 24, 28, 28, 28, 28, 28, 28, 28 }

  80. {0, 2, 1, 1, 2, 0, 1, 0, 1, 2, 0, 0, 1, 3, 1, 0, 0, 2, 1, 0, 3, 0, 1, 1, 0, 0, 0, 0, 3, 1, 1, 0, 0, 1, 1, 2, 2, 4, 0, 1, 1}

    Returns: {1, 41, 1, 2, 3, 4, 4, 9, 6, 8, 13, 13, 9, 12, 13, 17, 20, 14, 17, 20, 18, 28, 20, 22, 28, 35, 36, 37, 23, 28, 29, 37, 37, 30, 33, 34, 35, 36, 40, 37, 39 }

  81. {0, 0, 0, 12, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 9, 3, 0, 0, 5, 0, 0, 0, 0, 2, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {3, 3, 3, 44, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 15, 9, 15, 16, 15, 15, 15, 15, 19, 15, 15, 24, 15, 16, 16, 19, 19, 19, 19, 27, 24, 27, 27, 27, 27, 35, 35, 35 }

  82. {0, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 13, 0, 0, 0, 0, 5, 0, 0}

    Returns: {5, 5, 18, 18, 18, 27, 18, 18, 19, 19, 19, 19, 19, 19, 19, 19, 19, 19, 5, 18, 19, 19, 24, 24, 19, 24, 24 }

  83. {1, 1, 1, 1, 2, 0, 2, 0, 0, 2, 0, 4, 1, 2, 1, 1, 0, 2, 0, 3, 0, 0, 1, 2, 1, 1, 2, 1, 0, 0, 0, 0, 1, 1, 1, 0, 3, 3, 0, 0, 1, 1, 0, 3, 0, 0, 1}

    Returns: {47, 0, 1, 2, 3, 4, 4, 6, 9, 6, 11, 9, 11, 12, 13, 14, 11, 15, 11, 17, 13, 17, 19, 22, 23, 24, 25, 26, 19, 19, 23, 26, 27, 32, 33, 36, 34, 36, 36, 37, 37, 40, 37, 41, 43, 43, 43 }

  84. {0, 0, 0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 3, 0, 0, 1, 0, 0, 0, 8, 6, 0, 4, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 8}

    Returns: {9, 9, 9, 9, 9, 9, 16, 16, 23, 42, 23, 23, 23, 23, 23, 23, 9, 24, 24, 16, 24, 24, 24, 19, 23, 26, 24, 26, 26, 26, 27, 35, 41, 41, 41, 27, 41, 41, 41, 41, 41, 35 }

  85. {0, 0, 0, 3, 0, 5, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 2, 7, 3, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0}

    Returns: {3, 3, 5, 32, 5, 3, 5, 5, 5, 8, 8, 8, 8, 10, 19, 20, 20, 20, 20, 10, 19, 20, 20, 20, 21, 21, 21, 24, 24, 24, 24, 24 }

  86. {2, 0, 0, 1, 0, 2, 0, 0, 0, 2, 2, 0, 0, 2, 0, 3, 1, 1, 0, 3, 0, 0, 1, 0, 0, 4, 3, 2, 1, 0, 2, 0, 3, 1, 2, 1, 0, 2, 0, 0, 0}

    Returns: {41, 0, 5, 0, 9, 3, 10, 13, 15, 5, 9, 15, 19, 10, 19, 13, 15, 16, 25, 17, 25, 25, 19, 26, 26, 22, 25, 26, 27, 27, 28, 30, 30, 32, 33, 34, 32, 35, 32, 34, 37 }

  87. {2, 3, 2, 0, 2, 0, 1, 2, 1, 2, 0, 0, 2, 2, 1, 1, 2, 2, 1, 2, 0, 4, 1, 0, 1, 1, 1, 0, 1, 1, 2, 1, 0, 0, 2, 0, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 0, 0, 0, 0}

    Returns: {50, 0, 1, 0, 2, 1, 4, 6, 7, 8, 1, 2, 9, 12, 13, 14, 15, 16, 17, 18, 4, 19, 21, 7, 22, 24, 25, 9, 26, 28, 29, 30, 12, 13, 31, 16, 17, 34, 19, 21, 37, 21, 21, 40, 43, 44, 30, 34, 40, 43 }

  88. {3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 7, 0, 0, 0, 0, 0, 0, 0, 5, 7, 0, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0}

    Returns: {35, 0, 0, 11, 11, 11, 11, 11, 13, 13, 13, 0, 13, 11, 13, 13, 21, 21, 21, 21, 22, 13, 21, 22, 22, 22, 22, 22, 22, 27, 31, 27, 31, 31, 31 }

  89. {0, 3, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 1, 1, 0, 1, 1, 1, 0, 2, 1, 2, 1, 0, 2, 1, 1, 0, 1, 2, 1, 2, 0, 0, 0, 1, 3}

    Returns: {1, 37, 1, 2, 3, 1, 4, 4, 7, 8, 19, 9, 11, 12, 21, 13, 15, 16, 24, 17, 19, 20, 21, 29, 22, 24, 25, 31, 26, 28, 29, 30, 36, 36, 36, 31, 35 }

  90. {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, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {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, 46, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27 }

  91. {0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 6, 3, 0, 2, 5, 0, 2, 0, 0, 0, 0, 4, 0, 0, 0}

    Returns: {1, 25, 1, 10, 10, 10, 10, 10, 11, 11, 1, 10, 13, 11, 13, 14, 14, 14, 14, 14, 16, 16, 21, 21, 21 }

  92. {2, 0, 0, 0, 1, 0, 2, 0, 2, 0, 1, 1, 1, 0, 4, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 0, 2, 1, 2, 2, 2, 1, 2}

    Returns: {34, 0, 6, 8, 0, 14, 4, 14, 6, 14, 8, 10, 11, 15, 12, 14, 15, 19, 27, 16, 19, 29, 30, 31, 33, 20, 33, 25, 27, 28, 29, 30, 31, 32 }

  93. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: {11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 11, 48, 11, 11, 11, 11, 11, 11, 11, 11, 29, 29, 29, 29, 29, 29, 29, 29, 29, 11, 29, 36, 36, 36, 36, 36, 29, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36 }

  94. {8, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  95. {1, 0, 0, 0, 1, 0, 2, 0, 3, 0, 0, 0, 1, 0, 4, 0, 0, 3, 1, 0, 3, 0, 1, 0, 1, 2, 2, 3, 2, 1, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 5}

    Returns: { }

  96. {0, 0, 0, 0, 3, 1, 3, 2, 0, 0, 2, 3, 0, 0, 1, 1, 1, 0, 1, 1, 0, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 2, 3, 0, 2, 1, 2, 3, 1, 4}

    Returns: { }

  97. {0, 0, 0, 0, 0, 3, 1, 2, 2, 1, 0, 2, 0, 1, 0, 1, 0, 1, 1, 0, 0, 2, 2, 1, 2, 3, 0, 0, 3, 1, 1, 1, 2, 0, 0, 0, 3, 0, 1}

    Returns: { }

  98. {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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0}

    Returns: { }

  99. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 13, 0, 0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  100. {6, 0, 3, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 2, 0, 4, 0, 0, 0, 0, 0, 0, 3, 0, 1, 0, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0}

    Returns: { }

  101. {0, 0, 0, 0, 0, 26, 0, 0, 20, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  102. {0, 0, 0, 0, 0, 0, 0, 45, 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  103. {0, 2, 0, 1, 0, 0, 0, 0, 1, 3, 1, 0, 0, 3, 0, 2, 4, 0, 0, 4, 0, 5, 1, 1, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 3, 3, 0, 0, 0}

    Returns: { }

  104. {0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47, 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, 0, 0, 0, 0, 0, 0}

    Returns: { }

  105. {0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 13, 0, 0, 0, 0, 0, 0, 0, 0, 11, 0, 6, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  106. {0, 0, 6, 0, 1, 0, 0, 0, 0, 5, 0, 0, 0, 0, 1, 1, 0, 2, 0, 5, 0, 0, 0, 1, 2, 0, 0, 2, 2, 0}

    Returns: { }

  107. {0, 0, 3, 1, 5, 0, 6, 0, 0, 0, 4, 0, 0, 0, 2, 3, 0, 0, 0, 0, 0, 0, 2, 0, 0, 6, 2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  108. {2, 4, 0, 4, 4, 0, 0, 0, 0, 0, 0, 0, 2, 3, 0, 0, 1, 0, 0, 0, 0, 0}

    Returns: { }

  109. {2, 3, 4, 0, 0, 0, 0, 2, 0, 1, 1, 0, 1, 1, 3, 0, 0, 1, 0, 0, 0, 1}

    Returns: { }

  110. {0, 7, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 5, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 3, 0, 3}

    Returns: { }

  111. {0, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 12, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 10, 0}

    Returns: { }

  112. {1, 0, 0, 0, 2, 3, 2, 0, 0, 0}

    Returns: { }

  113. {2, 0, 0, 1, 1, 3, 1, 1, 0, 1, 3, 1, 1, 1, 0, 0, 3, 0, 1, 0, 0, 1, 0, 1, 0, 0, 2, 3, 0, 0, 0, 0, 1, 0, 1, 0, 2, 3, 2, 1, 0, 0, 1, 0, 0, 6}

    Returns: { }

  114. {0, 0, 0, 0, 0, 0, 3, 0, 0, 5, 4, 0, 0, 1, 3, 0, 0, 2, 0, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 2, 5, 0, 0, 0, 4}

    Returns: { }

  115. {2, 1, 0, 0, 1, 3, 0, 0, 0, 2, 1, 1, 2, 0, 1, 0, 0, 2, 3, 2, 0, 1, 1, 1, 1, 0, 2, 0, 0, 0, 3, 1, 1, 0, 2, 1, 2, 0, 0, 2, 2, 1, 0, 0}

    Returns: { }

  116. {0, 0, 5, 4, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 6, 2, 5, 0, 4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0}

    Returns: { }

  117. {0, 4, 0, 0, 0, 0, 5, 0, 0, 0, 3, 0, 2, 0, 0, 0, 0, 0, 3, 0, 0, 2, 1, 2, 3, 1, 1, 0, 0, 0, 2, 0, 3, 0}

    Returns: { }

  118. {3, 1, 2, 0, 1, 0, 0, 0, 0, 0, 1, 2, 1, 0, 2, 6, 3, 0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 3, 1, 0, 4, 1}

    Returns: { }

  119. {0, 2, 1, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 2, 0, 0, 0, 2, 0, 0, 5, 2, 0, 3, 2, 4, 1, 0, 1, 1, 2, 0, 1, 0}

    Returns: { }

  120. {2, 3, 0, 0, 1, 0, 0, 2, 0, 0, 4, 0, 0, 1, 0, 4, 0, 3, 0, 1, 2, 2, 1, 0, 0, 0, 0, 0, 1, 0, 2, 3, 3, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 3, 4}

    Returns: { }

  121. {0, 0, 0, 0, 0, 18, 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, 20, 0, 0, 0, 0, 0, 0, 0, 0}

    Returns: { }

  122. {0, 3, 2, 2, 0, 2, 0, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 1, 2, 1, 1, 2, 0, 2, 0, 0, 0, 2, 1, 1, 0, 2, 0, 2, 3}

    Returns: { }

  123. {0, 0, 0, 11, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 6, 0, 0, 0, 5, 0, 0, 0}

    Returns: { }

  124. {1, 1, 1, 1 }

    Returns: {4, 0, 1, 2 }

  125. { }

    Returns: { }

  126. {0, 1, 0, 1, 2 }

    Returns: {4, 5, 4, 1, 3 }

  127. {2, 0, 0, 0, 1, 1, 1, 1, 1, 1, 2 }

    Returns: {11, 0, 10, 10, 0, 4, 5, 6, 7, 8, 9 }

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