Statistics

Problem Statement for "AddElectricalWires"

Problem Statement

You are given an electrical circuit for a home, with a number of nodes possibly connected by wires. Any pair of nodes may be connected by at most one wire, and a node can't be connected to itself. Each node on the circuit is either an electrical outlet for the house or a connection to the main electrical grid. The String[] wires tells you the wires that are already in place; the xth character of the yth element is '1' (one) if nodes x and y have a wire between them, '0' (zero) otherwise. The int[] gridConnections lists the indices of the nodes that are connections to the main electrical grid.

You'd like to make the circuit safer and more redundant by adding as many extra wires to it as possible. The one complication is that no two main grid connections are currently wired together (directly or indirectly), and you must preserve this, or else disaster will result. Determine the maximum number of new wires you can add to the circuit.

Definition

Class:
AddElectricalWires
Method:
maxNewWires
Parameters:
String[], int[]
Returns:
int
Method signature:
int maxNewWires(String[] wires, int[] gridConnections)
(be sure your method is public)

Constraints

  • wires will contain between 1 and 50 elements, inclusive.
  • Each element of wires will have the same length as wires.
  • Each element of wires will contain only the characters '0' and '1'.
  • Character i of element i of wires will be a '0'.
  • Character i of element j of wires will be the same as character j of element i.
  • gridConnections will contain between 1 and 50 elements, inclusive.
  • Each element of gridConnections will be an integer between 0 and length(wires)-1, inclusive.
  • Each element of gridConnections will be distinct.
  • Each pair of elements of gridConnections will not index nodes connected by a path of '1's in wires.

Examples

  1. {"000","000","000"}

    {0}

    Returns: 3

    Every valid wire can be added.

  2. {"000","000","000"}

    {0,1}

    Returns: 1

    0 and 1 can't be connected, but 0 and 2 (or 1 and 2) still can be.

  3. {"01","10"}

    {0}

    Returns: 0

    This circuit is already complete.

  4. {"00000","00000","00000","00000","00000"}

    {0,1,2,3,4}

    Returns: 0

    Any connections would be disastrous.

  5. {"01000","10100","01010","00100","00000"}

    {2,4}

    Returns: 3

  6. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    {49}

    Returns: 1225

    Largest return value.

  7. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    {4,28,11,15,24,35,17,36,26,48,33,39,19,2,47,49,25,18,32,40,5,21,7,12,14,42,27,6,45,44,30,38,13,37,3,16,29,43,9,22,8,23,20,34,1,10,31,0,46,41}

    Returns: 0

    Largest gridConnections.

  8. {"01111111111111111111111111111111111111111111111111","10111111111111111111111111111111111111111111111111","11011111111111111111111111111111111111111111111111","11101111111111111111111111111111111111111111111111","11110111111111111111111111111111111111111111111111","11111011111111111111111111111111111111111111111111","11111101111111111111111111111111111111111111111111","11111110111111111111111111111111111111111111111111","11111111011111111111111111111111111111111111111111","11111111101111111111111111111111111111111111111111","11111111110111111111111111111111111111111111111111","11111111111011111111111111111111111111111111111111","11111111111101111111111111111111111111111111111111","11111111111110111111111111111111111111111111111111","11111111111111011111111111111111111111111111111111","11111111111111101111111111111111111111111111111111","11111111111111110111111111111111111111111111111111","11111111111111111011111111111111111111111111111111","11111111111111111101111111111111111111111111111111","11111111111111111110111111111111111111111111111111","11111111111111111111011111111111111111111111111111","11111111111111111111101111111111111111111111111111","11111111111111111111110111111111111111111111111111","11111111111111111111111011111111111111111111111111","11111111111111111111111101111111111111111111111111","11111111111111111111111110111111111111111111111111","11111111111111111111111111011111111111111111111111","11111111111111111111111111101111111111111111111111","11111111111111111111111111110111111111111111111111","11111111111111111111111111111011111111111111111111","11111111111111111111111111111101111111111111111111","11111111111111111111111111111110111111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111101111111111111111","11111111111111111111111111111111110111111111111111","11111111111111111111111111111111111011111111111111","11111111111111111111111111111111111101111111111111","11111111111111111111111111111111111110111111111111","11111111111111111111111111111111111111011111111111","11111111111111111111111111111111111111101111111111","11111111111111111111111111111111111111110111111111","11111111111111111111111111111111111111111011111111","11111111111111111111111111111111111111111101111111","11111111111111111111111111111111111111111110111111","11111111111111111111111111111111111111111111011111","11111111111111111111111111111111111111111111101111","11111111111111111111111111111111111111111111110111","11111111111111111111111111111111111111111111111011","11111111111111111111111111111111111111111111111101","11111111111111111111111111111111111111111111111110"}

    {28}

    Returns: 0

    Largest complete circuit.

  9. {"00000000001000000100000000000000000000000000000000","00111000000000000000000000000001001000000000000010","01011000000000000000000000000001001000000000000010","01101000000000000000000000000001001000000000000010","01110000000000000000000000000001001000000000000010","00000000000000000000000000000000000000000000000000","00000000000001010000000000000000000000000000000000","00000000000000000000000000011000010100000000000000","00000000000000000000010101000000100000000000000000","00000000000000000000000000000000000000000101100000","10000000000000000100000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000010000000010000000000000000000000000000000000","00000000000000000010000000000100000000000000000000","00000010000001000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","10000000001000000000000000000000000000000000000000","00000000000000100000000000000100000000000000000000","00000000000000000000000010000010000010000010000000","00000000000000000000000000000000000000000000000000","00000000100000000000000101000000100000000000000000","00000000000000000000000000000000000000000000000000","00000000100000000000010001000000100000000000000000","00000000000000000001000000000010000010000010000000","00000000100000000000010100000000100000000000000000","00000000000000000000000000000000000000000000000000","00000001000000000000000000001000010100000000000000","00000001000000000000000000010000010100000000000000","00000000000000100010000000000000000000000000000000","00000000000000000001000010000000000010000010000000","01111000000000000000000000000000001000000000000010","00000000100000000000010101000000000000000000000000","00000001000000000000000000011000000100000000000000","01111000000000000000000000000001000000000000000010","00000001000000000000000000011000010000000000000000","00000000000000000001000010000010000000000010000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000001000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000010000000000000000000000000000000001100000","00000000000000000001000010000010000010000000000000","00000000010000000000000000000000000000000100100000","00000000010000000000000000000000000000000101000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000100000000000","00000000000000000000000000000000000000000000000000","01111000000000000000000000000001001000000000000000","00000000000000000000000000000000000000000000000000"}

    {43,35,25,49,29,38,13,42,10,3}

    Returns: 150

    Several complete components of random size, connected to the grid. The extra nodes must be joined with the largest one.

  10. {"00001000000000001000000000000011000000000000100000","00000000000000000000000000010000000000000000000000","00000000000100000000000000000000010000010000000000","00000000000000000000000000000000000000000000010000","10000000000000001000000000000010100000000000000000","00000000000000000000100000000100000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000001000000000000001000000000000","00000000000000000000000010000000000000000000000000","00000000000000000000000000010000000000000000000000","00100000000000000000000000000000010000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","10001000000000000000000000000010000000000000000000","00000000000000000000100000000100000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000001000000000000000100000000000","00000100000000000100000000001000000000000000000000","00000000000000000000000000000000010000000000000000","00000000100000000001000000000000000100000100000000","00000000000000000000000000000000000000000000000000","00000000010000000000000000100000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000010000000000000000000000000","01000000001000000000000000000000000000000010000000","00000000000000000000100000000000000000000000000000","00000100000000000100000000000000000000000000000000","10001000000000001000000000000001100000000000000000","10000000000000000000000000000010100000000000100000","00001000000000000000000000000011000000000000000000","00100000000100000000010000000000000000001000000000","00000000000000000000000000000000000000000000000000","00000000000000000000001000000000000000000000000010","00000000000000000000000000000000000000000000000000","00000000100000000000000000000000000000100000000000","00000000000000000001000000000000000001000000000010","00100000000000000000000000000000000000000000000000","00000000000000000000000000000000010000000000000000","00000000000000000000001000000000000000000000000000","00000000000000000000000000010000000000000000000000","00000000000000000000000000000000000000000000000000","10000000000000000000000000000001000000000000000000","00010000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000100100000000000","00000000000000000000000000000000000000000000000000"}

    {4,29,49,19,47,46,45,39,26,1}

    Returns: 207

    Next few cases are the same, except the components aren't complete.

  11. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000001000000","00000000000000000000000000000100000000000100000000","00000000000000000000000000000000000000000000000010","00000000000000000000000000000000100000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000010000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000100000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000010000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000010000000000000001000000","00000000000000000000000000000000000000000000000011","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000010000000000000000","00000000000000000000000100000000000000000010000000","00000000000000000000000000000000000000000000000000","00000100000000000000000000000000000000000100001000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000001000000000000000000000000000000000000000000","00000000000000000000000000100000000000000000000000","00000000000000000000000000000000000000000000010001","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000001","00000000000000000001000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000100000000000100000000000100000000000000000000","00000000000000000000000000010000000000000001000000","00001000000000000000000100000000000000000010000000","00000000000000000000000000000000000000000000000000","00000000010000000000000000000000001000000000000000","00000000000000000000000000000100000000000000000000","00000000000000000000000000000000000000000000000000","00000010000000000000000010000000000000000000000000","00000000000000000000000010000000001000100000000000"}

    {43,31,37,34,41,33,47,10,28,19}

    Returns: 467

  12. {"00000000000000000000000000000000000100000000000000","00000000000000001000000000000000001000000000000000","00000000000000000000000000000000000000000000000000","00000010000001010000000010000000010000000000001000","00000100000000000000000000000001000000000100000000","00001000000000000000000000000001000000000010000000","00010000000001010000000010000000010000000000001100","00000000010000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000001000000000000000000000000000000000000000000","00000000000000000000000000000000000000101000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00010010000000010000000010000000010000000000010000","00000000000000000000000000000010000000000000000010","00010010000001000000000010000000010000000000010100","01000000000000000000001000000000001000000000000000","00000000000000000000001000000000001000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000110000000000000000000","00000000000000001100000000000000001000000000000000","00000000000000000000000000000000000000000000000000","00010010000001010000000000000000000000000000001000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000010000000000000000000000000010","00000000000000100000010000000000000000000000000000","00001100000000000000000000000000000010000110000000","00000000000000000000000000000000000000000000000000","00010010000001010000000000000000000000000000011100","01000000000000001100001000000000000000000000000000","10000000000000000000000000000000000001000000000000","00000000000000000000000000000001000000000000000000","00000000000000000000000000000000000100000000000000","00000000001000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000001000000000000000000000000000000000000000","00001000000000000000000000000001000000000000000000","00000100000000000000000000000001000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000001010000000000000000010000000000001000","00010010000000000000000010000000010000000000010000","00000010000000010000000000000000010000000000000000","00000000000000100000000000000100000000000000000000","00000000000000000000000000000000000000000000000000"}

    {37,22,3,31,38,9,29,18}

    Returns: 292

  13. {"00001000000000000000000000000000000000000010000000","00000000000000000000001000000000000000000000000000","00000001000001001100000000000000000000000000000010","00001000000000000000000100000000000000000000000000","10010100000000000000000100000000000000000000000000","00001000000000000001000000000000000000000001000000","00000000000000000000000000000000000000000000000000","00100000000000000000010000000000000000010000000000","00000000000000000000000000100000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000001100010100000010000","00000000000000000000000010000000000010100000011000","00100000000000000000010000010000000100010000000010","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000100000100","00100000000000000010000000000000000100010000000010","00100000000000000000010000000000000100000000000000","00000000000000001000010000010000000100010000000000","00000100000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000001000001000110000000010000000100010000000000","01000000000000000000000000000000000000000000000000","00011000000000000000000000000000000000000000000000","00000000000010000000000000000001101010100000011000","00000000000000000000000000000000000000000000000000","00000000100000000000000000000000000000000000000000","00000000000001000010010000000000000100000000000010","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000100000000000010000000000000000000001000","00000000000100000000000010000000001010000000011000","00000000000000000000000000000000000000000000000000","00000000000000000000000010000000100010100000001000","00000000000001001110010000010000000000000000000000","00000000000110000000000010000000101000000000010000","00000000000000000000000000000000000000000000000000","00000000000110000000000010000000001000000000010000","00000001000001001010010000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000010000000000000000000000000000000100","10000000000000000000000000000000000000000001000000","00000100000000000000000000000000000000000010000000","00000000000000000000000000000000000000000000000000","00000000000110000000000010000000100010100000001000","00000000000010000000000010000001101000000000010000","00000000000000010000000000000000000000000100000000","00100000000001001000000000010000000000000000000000","00000000000000000000000000000000000000000000000000"}

    {9,1,8,29,19,35,41,45}

    Returns: 262

  14. {"00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000100001001000000000","00000000000000000000000100000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000100000001000000000000000","00000000000000000000000000000100000000000000000000","00000000000000000000000010000000000000000000000000","00000000000000000000000011000000000000000000000000","00000000000000010000000000000000000000000000000000","00000000000000000000010000000001001000000011000000","00000000000000100001000000000000000000001000000000","00000000000000000000000000000000000000000000000100","00000000000010000000000000000000000000000000000001","00000000001000000000000000001000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000100001000000000010000000","00000000000010000000001000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000100000000000000100000001000000001000000","00000000000000000001000000000000000010000000000001","00001000000000000000000000000000000100000000000000","00000000110000000000000000000000000000000000000000","00000000010000000000000000000000000000000000000000","00000010000000000010010000000000000000000010000000","00000000000000000000000000000000000000000000000000","00000000000000010000000000000000000000000000000000","00000001000000000000000000000000000000000000000000","00000000000000000000000000000000010000000000000000","00000000000100000010000000000000000000000010000000","00010000000000000000000000000000000000000000000010","00000000000000000000000000000010000000000000000000","00000010000100000000010000000000000000000000000000","00000000000000000000000100000000000000000000000000","00000000000000000000001000000000000001000000000000","00010000000000000000000000000000000010000000000011","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00010000000010000000000000000000000000000100000001","00000000000000000000000000000000000000001000000000","00000000000100000010000000100001000000000000000000","00000000000100000000010000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000001000000000000000000000000000000000000","00000000000000000000000000000000100001000000000000","00000000000000100000001000000000000001001000000000"}

    {11,16,28,4,7,24,33,41}

    Returns: 334

  15. {"00000000000000000000010000000000000000000000000000","00000000000000000000000010000000000000000000000000","00000000000000000000000000000001000000000000000100","00000000000000000000000100000000000000000000000000","00000000001000000001000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000100000000000010000000100000000000","00001000000000000000000000010000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000001000","00000000000000000000000000001000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000010000000000000000000001000000","00000000000000000000000000000000000000000000000000","00000000010000000000000000000010000000000000000000","00000000000000000000000000000000100000000000000000","00001000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","10000000000000010000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00010000000000000000000000000000000000000000000000","01000000000000000000000000000010010000100000000000","00000000000000000000000000000000000000000000100000","00000000000000000000000000000000000000000000000000","00000000001000000000000000000000000000000000000000","00000000000001000000000000000000000000000000000000","00000000000000000000000000000000000000000000000100","00000000010000000100000010000000000010000000000000","00100000000000000000000000000000100000000000000000","00000000000000000010000000000001000000000000000000","00000000000000000000000010000000000000001000000000","00000000000000000000000000000000000000000000010010","00000000000000000000000000000000000000000000000000","00000000000000000000000000000010000000000000000000","00000000000000000000000000000000000000000000010000","00000000010000000000000010000000000000000100000000","00000000000000000000000000000000000000000000000100","00000000000000000000000000000000010000000100000000","00000000000000000000000000000000000000101000000000","00000000000000000000000000000000000000000000000000","00000000000000010000000000000000000000000000000000","00000000000000000000000001000000000000000000000000","00000000000000000000000000000000001001000000000000","00000000000010000000000000000000000000000000000000","00100000000000000000000000000100000000010000000000","00000000000000000000000000000000001000000000000000","00000000000000000000000000000000000000000000000000"}

    {34,42,6,18,3,25,15,36}

    Returns: 410

  16. {"00000001000000001000000011000000000000000100001000","00001000000000000000010000000000000000000000000010","00010001000000000000000001010000010000000000000000","00100000000000100000000010000000000000000000000000","01000000000000000000000000001010000010010000000000","00000000100000010101000000000100100000000001000000","00000000000010000000000000000001000000000000000000","10100000000001001000100000000100010100000000000000","00000100000000010001100000000000100100000000000000","00000000000000010001000010000000000100000101001000","00000000000000000000000000000000001011000000100000","00000000000000000000000000000000000000000000000000","00000010000000000000010000000010000000001000100001","00000001000000000000100010000100000100000000001000","00010000000000000010000000000000010000000001000000","00000100110000000010000001000000100000000000000000","10000001000000000000000000000000010000000100000000","00000100000000000000000001000000000100100001000000","00000000000000110000000000000000010000000000001000","00000100110000000000000000010000000000000100000000","00000001100001000000001000000000000000000100001000","01000000000010000000000000000001000001000000000100","00000000000000000000100000100000000000000000000000","00000000000000000000000000000010000000000000110010","10010000010001000000000000100000000100000000000000","10100000000000010100000000100100000000000001000000","00000000000000000000001011000000000000000100000000","00100000000000000001000000000100000000000100000000","00001000000000000000000000000000000000000010000010","00000101000001000000000001010000000100100001000000","00001000000010000000000100000000000000000000100100","00000010000000000000010000000000000000000000100000","00000100100000010000000000000000000000000001001000","00100001000000101010000000000000000000000000000000","00000000001000000000000000000000000001011000000000","00000001110001000100000010000100000000000000000000","00001000001000000000000000000000000000000000000000","00000000001000000000010000000000001000000000010000","00000000000000000100000000000100000000000001000000","00001000000000000000000000000000001000000000000101","00000000000010000000000000000000001000000010000000","10000000010000001001100000110000000000000000000000","00000000000000000000000000001000000000001000000000","00000100010000100100000001000100100000100000000000","00000000001010000000000100000011000000000000000010","00000000000000000000000100000000000001000000000000","10000000010001000010100000000000100000000000000000","00000000000000000000010000000010000000010000000010","01000000000000000000000100001000000000000000100100","00000000000010000000000000000000000000010000000000"}

    {11,14}

    Returns: 1060

  17. {"00000000000000000000001000000010000000000000000000","00000000000000000000000000000000000000000000011000","00000000000000000000000100000100000000000000000000","00000000000000000000000000000000000000000001000000","00000000000000100000000000000010000000000000000000","00000000000010000000100000000000000000000000000000","00000000000000010000000000000000001000000000000000","00000000001000000000000000000000100000000000000000","00000000000000000100000000000000000000000010000000","00000000000000000000000000010000000000000000000000","00000001000000000000000000000000000000010000000000","00000000000001000000000001000000000000000000000000","00000100000000000000000000000000000010000000000000","00000000000100000000000000000000000000001000000000","00001000000000000010000000000000000000000000000000","00000010000000000000000000010000000000000000000000","00000000000000000000000000000000000000000110000000","00000000100000000000001000000000000000000000000000","00000000000000100000000000000000000000100000000000","00000000000000000000010000000000000000000000000010","00000100000000000000000000000000000000000000000000","00000000000000000001000000000100000000000000000000","10000000000000000100000000000000000000000000000000","00100000000000000000000000000000000000000000010000","00000000000000000000000000001000000000000000000001","00000000000100000000000000100000000000000000000000","00000000000000000000000001000000000000000000100000","00000000010000010000000000000000000000000000000000","00000000000000000000000010000000000000000001000000","00100000000000000000010000000000000000000000000000","10001000000000000000000000000000000000000000000000","00000000000000000000000000000000000001000000100000","00000001000000000000000000000000001000000000000000","00000000000000000000000000000000000100000100000000","00000010000000000000000000000000100000000000000000","00000000000000000000000000000000010000010000000000","00000000000010000000000000000000000001000000000000","00000000000000000000000000000001000010000000000000","00000000000000000010000000000000000000000000000100","00000000001000000000000000000000000100000000000000","00000000000001000000000000000000000000000000000010","00000000000000001000000000000000010000000000000000","00000000100000001000000000000000000000000000000000","00010000000000000000000000001000000000000000000000","00000000000000000000000000100001000000000000000000","01000000000000000000000100000000000000000000000000","01000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000100000000001","00000000000000000001000000000000000000001000000000","00000000000000000000000010000000000000000000000100"}

    {43,45}

    Returns: 568

    Two large linear components.

  18. {"0000010000000000000000100000000000000000000000000","0000000000000000100000000000000000000000100000000","0000000000000000000010001000000100000000000000000","0000000000000000000000000100000000000100000000000","0000000000010000000000000000000000000000000000000","1000000000000000000000010000000000000000000000000","0000000000000100000000000000000000000000000000000","0000000000000000000000000000000010000000000000000","0000000000001000010000000000000000000000000000000","0000000000000000100000000000000000000000010000000","0000000000000000000100000000000000000000000000000","0000100000000000000100000000000000000010000000000","0000000010000000000000000000000000000000000000000","0000001000000000000000000000000000000000000000000","0000000000000000000000000101000000010000000000000","0000000000000000100000000000000000000000000000000","0100000001000001000000000000000000000000000000000","0000000010000000000000000000000000000000000000100","0000000000000000000000000000000010010000000000000","0000000000110000000000000000010000100100000000000","0010000000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000100000","1000000000000000000000000000000000000001001000000","0000010000000000000000000000000000000000000000000","0010000000000000000000000000000000000000000000000","0001000000000010000000000000000000000000000000000","0000000000000000000000000000000000000000000000000","0000000000000010000000000000000000000000000000010","0000000000000000000000000000000000000000010001000","0000000000000000000100000000000000000000000000000","0000000000000000000000000000000001000010000000000","0010000000000000000000000000000000000000000010000","0000000100000000001000000000000001000000000000000","0000000000000000000000000000001010000000000000000","0000000000000000000100000000000000000000000000000","0000000000000010001000000000000000000000000000000","0000000000000000000000000000000000000001000000001","0001000000000000000100000000000000000000001000000","0000000000010000000000000000001000000000000000001","0000000000000000000000100000000000001000000000000","0100000000000000000000000000000000000000000000000","0000000001000000000000000000100000000000000001000","0000000000000000000000100000000000000100000000000","0000000000000000000001000000000000000000000000000","0000000000000000000000000000000100000000000000000","0000000000000000000000000000100000000000010000000","0000000000000000010000000000000000000000000000000","0000000000000000000000000001000000000000000000000","0000000000000000000000000000000000001010000000000"}

    {31,10,8,45}

    Returns: 495

  19. {"00000000010000000000000000000000000000000000100","00000000000000000100000000000000000000000000000","00000000000000000100000000000000000000000000001","00000000110000000010010100000000000000000000000","00000000000000000000000001000000000000000000000","00000000000000000010100100000000000010000000000","00000000000000000000100000000100000000000000000","00000000000000000000000000000000000001001000000","00010000000000000000000000000010000100000000000","10010000000000000000000010000000000001000000000","00000000000000001000000000000000001000000000000","00000000000000000000000000010001000000000010000","00000000000000000000000000000000000000000000001","00000000000000000000000000000000000000000000000","00000000000000000000000000100000000000100000000","00000000000000000000000000000000000000000000010","00000000001000000000001000000000001000000000000","01100000000000000000000000000000000000000000000","00010100000000000000000000100000001000000000000","00000000000000000000100000000000000000000000000","00000110000000000001000000101000000000100100000","00010000000000000000000000000000000000000000000","00000000000000001000000000000000000000000000000","00010100000000000000000011101010000110000000000","00000000010000000000000100000000000000000000000","00001000000000000000000100000000000000000000000","00000000000000100010100100000010000001000000000","00000000000100000000000000000000000000000000000","00000000000000000000100100000000000100000001000","00000010000000000000000000000000000001000000000","00000000100000000000000100100000000000000000000","00000000000100000000000000000000000000000000000","00000000000000000000000000000000000000000000001","00000000000000000000000000000000000000000000000","00000000001000001010000000000000000000100000000","00000000100000000000000100001000000000000000000","00000100000000000000000100000000000000000000100","00000001010000000000000000100100000000000000000","00000000000000100000100000000000001000000000000","00000000000000000000000000000000000000000000000","00000001000000000000000000000000000000000000000","00000000000000000000100000000000000000000001000","00000000000100000000000000000000000000000000000","00000000000000000000000000001000000000000100000","10000000000000000000000000000000000010000000000","00000000000000010000000000000000000000000000000","00100000000010000000000000000000100000000000000"}

    {31,13,20,46,39,45}

    Returns: 493

  20. {"00000000000101000000001000000000000000000","00000001000000000011000000000000000000000","00000001000000010001111000000000000000000","00000000001000000100010000010000000000010","00000000001000010010000000001000000000000","00000000000100110000000010000000001000000","00000000000000000000110000001000000000000","01100000000010000000000010010000000100100","00000000000000000100010000010000000000000","00000000000000001000000000000001000000001","00011000000000000000000000101010000000000","10000100000001100000000000100000000000000","00000001000000000000000001000100000000000","10000000000100000000010000110100000000000","00000100000100000101000000000000001100000","00101100000000000000000000010100000000000","00000000010000000000000000000000100010000","00010000100000100000000000000000000000010","01001000000000000000000010010000010000000","01100000000000100000000101000000001001010","00100010000000000000000010010010000000000","00110010100001000000000000000000000001000","10100000000000000000000100000000000001000","00000000000000000001001001001000000000000","00000101000000000010100000000000000000000","00000000000010000001000100000000000000100","00000000001101000000000000000000000000000","00010001100001010010100000000000000000000","00001010001000000000000100000000011000000","00000000000011010000000000000000000000000","00000000001000000000100000000000000000000","00000000010000000000000000000000100000000","00000000000000001000000000000001000000000","00000000000000000010000000001000000000000","00000100000000100001000000001000000100000","00000001000000100000000000000000001000000","00000000000000001000000000000000000000000","00000000000000000001011000000000000000000","00000001000000000000000001000000000000000","00010000000000000101000000000000000000000","00000000010000000000000000000000000000000"}

    {7,31}

    Returns: 528

  21. {"01001100000001001000100100110000000000010","10100010100010000000000000100100101100000","01000000000000000000000001000000000000000","00000010000101010100000000000000000000000","10000000000010001000010010000000000000010","10000000000000000000000000010000000001000","01010000000000010000000000010000010000000","00000000010000010000000001000000001000010","01000000000000000001000010000000100010110","00000001001010100010010000010000011010000","00000000010100000010000100110010000000010","00010000001000001000001000000000011100100","01001000010000010000110010001000111000001","10010000000000001100000000000000000000000","00000000010000001000000010000000000000100","00010011000010000000001101000001010001000","10001000000101100000010000000000000001000","00010000000001000000010000010000000000010","00000000011000000001001000100000000010101","00000000100000000010001000011000000100000","10000000000010000000000010100001000000000","00001000010010001100000000000000100001011","00000000000100010011000000000100001000000","10000000001000010000000000000100110010001","00001000100010100000100000000000010000000","00100001000000010000000000011100001110000","11000000001000000010100000000010000001011","10000110011000000101000001000010001101111","00000000000010000001000001000000101000101","01000000000000000000001101000000000000000","00000000001000000000000000110000010000000","00000000000000010000100000000000000001100","01000000100010000000010100001000000000010","00000010010110010000000110000010000100011","01000001010110000000001001011000000100000","01000000000100000001000001010000011010000","00000000110000000010000101000000000100100","00000100000000011000010000110001000000000","00000000100100100010000000011001000010010","10001001101000000100010000110000110000100","00000000000010000010010100111000010000000"}

    {40}

    Returns: 670

  22. {"000000000000000000000000010000000000000000000000","000000001000000000000000100000000000000000000000","000000000001000010000000000000100000000000000000","000000100100001000000000000100000100101000000001","000000000000000001000001001001000000000000000000","000000000000000000000010000000010000000010001010","000100010000000000000100000000010010000000100010","000000100000000000000100100000000100000100000001","010000000000000000000000100100000000100000000001","000100000000000000000000000100000000000000000010","000000000000000000010010000000000000100010000001","001000000000000000000000000000000000000000000000","000000000000000001000000000000000000000000000000","000000000000001000010010000000010001000110000010","000100000000010000000000000000000001100000000000","000000000000000000000000010000000000000000000000","001000000000000000000000000000000000000000000000","000010000000100000000000000000000000000000000000","000000000000000000000001001000000000000000000000","000000000010010000000110000000000010001000000000","000000000000000000000110100000000000000000000001","000000110000000000011000100000010000001000000000","000001000010010000011000000000000000100000001000","000010000000000000100000001000000000000000000000","010000011000000000001100000000000000000000001000","100000000000000100000000000000000000000000000000","000010000000000000100001000001000000000000000000","000100001100000000000000000000000000000000000000","000000000000000000000000000000000000010000000000","000010000000000000000000001000000000000000000000","001000000000000000000000000000000000000000000000","000001100000010000000100000000000000000000101010","000000000000000000000000000000000000000000010000","000100010000000000000000000000000000000100000010","000000100000000000010000000000000000001000000000","000000000000011000000000000000000000000000100000","000100001010001000000010000000000000000000100000","000000000000000000000000000010000000000000000000","000100000000000000010100000000000010000100000000","000000010000010000000000000000000100001000000000","000001000010010000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000100000000000000000000000010001100000000001","000000000000000000000000000000001000000000000000","000001000000000000000010100000010000000000000001","000000000000000000000000000000000000000000000000","000001100100010000000000000000010100000000000000","000100011010000000001000000000000000000000101000"}

    {41,43,18,16,0,42,37,45}

    Returns: 322

  23. {"000000000100000000000000000000000001000000000","001010000000100000000000000000000000100000000","010000000000000000000000000000000000000000000","000000000000000000010000000000000000000000000","010000000000100000000000000000000000100000000","000000000001000000000000000000010001000000000","000000000000000000000000000100000000000000000","000000000000000000000000000000000000000000100","000000000000010000000000000000000010000000000","100000000000000000000000000000010000000001000","000000000000000000000000000000000000010000000","000001000000000000000000000000000000000000000","010010000000000000000000000000000000000000000","000000001000000000000001001000100010000000000","000000000000000000000000100000000000000000000","000000000000000000000000000000000000000000000","000000000000000000000001000001000000000000000","000000000000000000000000010001100000000000000","000000000000000000000000000000000001000000000","000100000000000000000100000000001000000000000","000000000000000000000000000100000000001000001","000000000000000000010000100010000000000000000","000000000000000000000000000100000000011000011","000000000000010010000000010000000000000000000","000000000000001000000100000010000000000000000","000000000000000001000001001000000000000110000","000000000000010000000000010001000000000000000","000000100000000000001010000000000000000000001","000000000000000000000100100000001000000000000","000000000000000011000000001000000000000000000","000000000000010001000000000000000010000110000","000001000100000000000000000000000001000000000","000000000000000000010000000010000000000000000","000000000000000000000000000000000000010000010","000000001000010000000000000000100000000010000","100001000000000000100000000000010000000000000","010010000000000000000000000000000000000000000","000000000010000000000010000000000100000000000","000000000000000000001010000000000000000000001","000000000000000000000000010000100000000000000","000000000000000000000000010000100010000000000","000000000100000000000000000000000000000000000","000000010000000000000000000000000000000000000","000000000000000000000010000000000100000000000","000000000000000000001010000100000000001000000"}

    {43,12,35,30,15,42,14}

    Returns: 113

  24. {"000000000000000000001000000000000000000000000000","000001000001000010010001001000000100010000100000","000010100000000110000000000010110010001000000010","000001010000000000000000001000000000000000100100","001001000100000001000000000000010000001000010101","010110000000000000000000000000000000000100000010","001000000000000111000011000010010000010100010100","000100000001000000100010000001000000001110000010","000000000101001001100001100000000001000010000000","000010001000001001000000001100000000000100000000","000000000000000000001000000000000000000001000000","010000011000000000110010000100000000000010000010","000000000000000000001000000000000000000000000000","000000000000000000001000000000000000000000000000","000000001100000011000000000010000101001100110000","001000100000000000000001000000000000000000000010","011000100000001000100000010010010000011100010000","000010101100001000100001000100000000001000100000","000000011001000011000010101001000000010000000110","010000000001000000000011100000000010010000000100","100000000010110000000000000000000000000001000000","000000000000000000000000000000000000000000001000","000000110001000000110000000000000110000000000010","010000101000000101010000000011000000001000100000","000000001000000000110000000001100100000000000001","000000000000000010000000000001000100000010010000","010100000100000000100000000001010010010100000000","000000000101000001000000000001000001000010010000","001000100000001010000001000000000001001000000001","000000010000000000100001111100000001001000000011","001000000000000000000000100000010011000000000000","001010100000000010000000001000100000000010000000","000000000000000000000000000000000000000000001000","010000000000001000000010110000000001000100000000","001000000000000000010010001000100000000100010110","000000001000001000000000000111100100001010100000","000000000000000000000000000000000000000000001000","010000100000000010110000001000000000000100000100","001010010000001011000001000011000001000010000010","000001110100001010000000001000000110010000000000","000000011001000000000000010100010001001000100100","000000000010000000001000000000000000000000000000","010100000000001001000001000000000001000010000001","000010100000001010000000010100000010000000000000","000000000000000000000100000000001000100000000000","000110100000000000110000000000000010010010000001","001001010001000100100010000001000010001000000000","000010000000000000000000100011000000000000100100"}

    {22,10,21}

    Returns: 553

  25. {"00000000100100100000001000000000000000010000","00000000000000000000000000000000000000000000","00010001000001010000100100001010110010000001","00100010000001000000000100010000000100100110","00000000000000010010010000000010000000000110","00000000000000100001000001000000000000010000","00010001000000000010010000000000100000000001","00100010000001000010010000001000000000000010","10000000000000000000000000000000000000000000","00000000000001000000000000001010000110000110","00000000000010001000000010000000000000000000","10000000000000000001000000000000000000000000","00000000001000000000000010000000000001000000","00110001010000000000000100000000100110100000","10000100000000000001001001000000000000000000","00101000000000000010010000100000100110000110","00000000001000000000000000000000001000000000","00000000000000000000000000000000000000001000","00001011000000010000010000101000100100000000","00000100000100100000001000000000000000010000","00100000000000000000000100010000100000000001","00001011000000010010000100000000000000100100","10000000000000100001000000000000000000000000","00110000000001000000110000100010010000000000","00000000001010000000000000000100000001001000","00000100000000100000000000000000000000000000","00000000000000010010000100001000000100000101","00010000000000000000100000001000010000000011","00100001010000000010000000110010110100100010","00000000000000000000000010000000001000000000","00101000010000000000000100001000000000000000","00000000000000000000000000000000000000000000","00100010000001010010100000001000010100000000","00100000000000000000000100011000100000000100","00000000000000001000000000000100000000001000","00010000010001010010000000101000100000000101","00100000010001010000000000000000000000000010","00000000000010000000000010000000000000000000","00010000000001000000010000001000000000000010","10000100000000000001000000000000000000000000","00000000000000000100000010000000001000000000","00011000010000010000010000100000010100000001","00011001010000010000000000011000000010100000","00100010000000000000100000110000000100000100"}

    {24,1,13,39,31}

    Returns: 228

  26. {"010011010001101000101010001010010000001110","101010010101100001100011001100100000011011","010001000010000100100000100101000000000010","000000000000000000000000000000000010100000","110000001101000000001001110010001000000100","101000000100000110010101100101111100000100","000000000000000011101001110000000100000011","110000000100001001110000000011000100000000","000010000010000000010110010011110000000010","010011010010001010101000100010010000001000","001000001101010110000000001100000000001001","110010000010001110000010100010010000011000","110000000000000110001010010000001000000001","000000000010000100000011010101001000010111","100000010101000111000000010011010000001110","001001000011111000000100101000011100011001","000001100111101000111100110110001000000100","010000110000001000011100100100001100001000","111000110100000010001011001001000100010101","000001011000000011000000001001011000000100","100010100100100011100000100110010000001010","000001001000000111000001001100101000001101","110000001001110000100001110001001100010010","010011100000010000100110011000010000000100","001011100101000111001010010000100000000001","000010101000111010000011100000001100000100","110000000010000100110101000010110100000111","011001000010010011001100000000000000001100","100010011101001010001000001000101100000011","001001011000011000110010000000101100000000","010001001000000000000100101011000000000101","100001001101001100011001001000001000000001","000011000000110111010110010011010000000100","000001110000000101100010011011000000001101","000100000000000000000000000000000001100000","000000000000000000000000000000000010000000","000100000000000000000000000000000010000000","010000000001010100100010000000000000000010","110000000111001101001100000100000100000010","100011000000011010110101011100101100000010","111000101000011000001010001010000000011100","010000100010110100100100101010110100000000"}

    {30,3}

    Returns: 457

  27. {"0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000010000000001","0000010000100001000001000000000000010010000","0000000000000100000000000000011000001000000","0001000000000001000101000010000000010010000","0000000000001000000000000000000000000000000","0000000000000000000000100000000000000000000","0000000000000000000000000000000000000000000","0000000000010000000000000100000000000000000","0001000000000001000000000010000000010000000","0000000001000000000000000100000100000000000","0000001000000000000000000000000000000000000","0000100000000000000000000000010001001000000","0000000000000000010000000001000000000000000","0001010000100000000100000010000000010010000","0000000000000000001000000000000000000000100","0000000000000010000000100000000000000000000","0000000000000000100000000000000000000101010","0000010000000001000000010010000000000010000","0000000000000000000000000000100000000000001","0001010000000000000000000010000000010000000","0000000100000000010000000001000000000000000","0000000000000000000100000010000000000000000","0000000000000000000000000100000000100000000","0000000001010000000000001000000000100000000","0000010000100001000101010000000000000010000","0000000000000010000000100000000000000000000","0000000000000000000010000000000010000000000","0000100000000100000000000000001000000000000","0000100000000000000000000000010001000000000","0000000000010000000000000000000000000000000","0010000000000000000000000000100000000000000","0000000000000100000000000000001000000000000","0000000000000000000000001100000000000000000","0001010000100001000001000000000000000000000","0000100000000100000000000000000000000000000","0000000000000000001000000000000000000000000","0001010000000001000100000010000000000000000","0000000000000000001000000000000000000000100","0000000000000000100000000000000000000001010","0000000000000000001000000000000000000000100","0010000000000000000010000000000000000000000"}

    {0,29,1,18,15,20,24,6,8,7}

    Returns: 51

  28. {"00111000000001000000010101000000000000000011000","00010000110001000010101001110100010011000000100","10001110100000000000010100000000001000001001011","11001001000000000110000000100000000110000010000","10110010000000000000000001100001010100001111000","00100000000000000000101000000001000110000110000","00101001010000000100101100000001001100000010000","00010010000000000000111001110101010000000011000","01100000011001000100111100000000011001000011000","01000010100000000110001101000101001000001000101","00000000100010000110101000000000011011000101100","00000000000000000001000000000000000000000000000","00000000001001000000000100000101010110100101100","11000000100010000110000000110100010000101100110","00000000000000010000000010000000100000000000000","00000000000000100000000010000000100000000000000","00000000000000000000000000000000000000000000000","00010010111001000000011000100000000100000100000","01010000011001000000101100010000011000000010100","00000000000100000000000000000000000000000000000","01000111101000000010011000010000000001000000001","10100001100000000100101000000100010110000001000","01000111111000000110110000010001001001000111110","10100010110010000010000000100101000000000100010","00000000000000110000000000000000000000000000000","11001001010000000000000000000000000010100011100","01011001000001000100000100000100010100100001110","01000001000001000010101000000001001100001010101","00000000000000000000000000000000000000000000000","01000001010011000000010100100001000100001001001","00000000000000000000000000000000000000010000000","00001111010010000000001100010100000010000101110","00000000000000110000000000000000000000000000000","01001001101011000010010000100000000001001000000","00100010111000000010001000010000000111001000100","00011110000010000100010000110100001000000001101","01010100001010000000010001000001001000000101001","01000000101000000000101000000000011000000010001","00000000000011000000000001100000000000000100100","00000000000000000000000000000010000000000000000","00101000010001000000000000010100011000000110000","00001100001011000100001100000001000010101000001","10011111100000000010001001010000000001001000100","10101001101010000000011001100101000110000000000","01000000011011000010001001110001001100100010000","00100000000001000000001100100001000000000000001","00100000010000000000100000010100000111000100010"}

    {32,39,11,16,28,22}

    Returns: 439

  29. {"00000000000000000000000000000100000000010000","00011000000000011000010001010000101111000111","00010110111000110001111101110010001100100101","01101010011101000000000100001010110101000101","01010111101000010000000100101000100010000011","00101000000011100100000100011001010011101011","00111000110111001100000000111000000110101011","00001000111000000011000110101010000010000100","00101011010001101011111000000000101001000011","00110011101001011000011001111001010010000100","00111001010111001100001110110001000000001011","00010010001000001010111001011010000101001010","00000110001001110010111010100001001101001001","00010110111010100000000000000010011001000000","00100100100011001001010011000000001010101000","01101000010010000001010100000010011101101001","01000010111100100111000100100001101001001110","00000110001000001010010000110011111000000000","00000001100110001101000100001001001011000011","00100001100000111010110100001010000001100101","00100000100110000001001110001010100100000010","01100000110110110101000100000011001110000100","00100000111110000000100001011010010011001100","00111101001000011011110001110000101000001000","00000001001010100000100001000000001100001000","01100000010100100000001110100000011110001010","00101011011010001100000101000001101010001110","01100110011100000100001100001011011101000011","00011111010100000011101000010010101000000100","10000000000000000000000000000000000000010000","00110001000101010101111000011000111000000011","00000100011010001110010000110000101100100110","01011000100000001100100100101011000101101010","00010100010001010100001001010010000010000101","01100000100011111110010111111011000101000001","01110010000110010000110011010001101000101111","01001111010000100010011001100000010000100000","01010100100111011011001000010000101000000110","00100110000000110001000000000001100110001111","10000000000000000000000000000100000000000000","00000110001110111000001111100000100100100000","01110001010000001001011000101001010101100000","01001110101100001010100001110011100101100000","01111110101010010011000000010010011100100000"}

    {39,8}

    Returns: 483

  30. {"00101001100010000100001000100101010010011100000000","00001000010000001100001000100000010000100011001000","10001101110000111010000000000000010000100001110000","00000000000000000000000100000000000000000000000000","11100000000100010100000000110010000000010101110111","00100000100100000010001001010000000011100001110000","00000000001001000000000000000000000100000000000000","10100000110010110110001010000010000000100000001000","10100101000010100000001001010010000010011100110010","01100001000110001010000001101010100000010111100001","00000010000001000001100000000000001100000000000000","00001100010000011110001010000010100011010000110001","10000001110000010000001000010000000011100000000100","00000010001000000000010000000000000100000000000000","00100001100000010110000011100100000001000010100001","00101001000110100010000000111110010000011101001100","01100000010100000000000010101001000000010010001100","11001001000100100000000011011000010000001111111110","00100101010100110000000010000110100001001110001100","00000000001000000000000000000000001000000000000000","00000000001000000000000000000000001100000000000000","00000000000001000000000000000000000000000000000000","11000101100110000000000011111000000010001110010001","00010000000000000000000000000000000000000000000000","00000001000100101110001000011000010000000100010000","00000100110000100100001000101000100000011010100000","11001000010000111000001001000010000011000000000111","00001100100010010100001010000111000011000010101001","00000000010000011100001011000010110010100100000000","10000000000000110010000000010001010001000001010010","00001001110100010010000000111001100000011100000000","10000000000000001000000000010110100010000000010110","00000000010100000010000001001011000010011000010001","11100000000000010100000010001100000010001010101100","00000000001000000001100000000000000000000000000000","00000010001001000000100000000000000000000000000000","10000100100110000000001000111001110001111011000100","00000100000110100010000000110100000010001101101101","01100101000010000000000000001000000010001000100100","10001000110100011000000001000010100010000010100010","10000000100000010110001001000010110011100011010011","10001000110000010110001010001010000001000000000000","01000000010000101110001001010000010010011000011110","01101100010000010100000000000100000011001000000000","00101100110100100100000001010000010001110000010010","00101100100100000100001010000101100000001010101000","01000001000000011110000000010000010001000010010000","00001000000010011110000000100001010011100010000000","00001000100000000100000000100101000000011010100001","00001000010100100000001000110000100001001000000010"}

    {3,6,48}

    Returns: 508

  31. {"000000000000000000000000000000000000001000","000000000000100101000000000110010010000000","000000000000000000001000101000000000000000","000010000000010000010000010000000000000000","000100000010010000100000010000000000100000","000000000000000000000000000000000000000010","000000000000000010000000000000000001010001","000000000000000000000100100000000000000000","000000000000000000000010000000101000000000","000000000000100100000000000110000000000000","000010000000010000110000010000000000000000","000000000000001010000000000000000001010000","010000000100000100000000000110010010000000","000110000010000000110000010000000000100000","000000000001000000000000000000000001010000","010000000100100000000000000000010000000000","000000100001000000000000000000000000000001","010000000000000000000000000100010000000000","000010000010010000010000000000000000000000","000100000010010000100000010000000000100000","001000000000000000000100001000000000000000","000000010000000000001000101000000000000000","000000001000000000000000000000101000000000","000000000000000000000000000001000000000000","001000010000000000000100001000000000000000","000110000010010000010000000000000000100000","001000000000000000001100100000000000000000","010000000100100001000000000010000010000000","010000000100100000000000000100010010000000","000000000000000000000001000000000000000000","000000001000000000000010000000000000000000","010000000000100101000000000010000010000000","000000001000000000000010000000000000000000","000000000000000000000000000000000000000000","010000000000100000000000000110010000000000","000000100001001000000000000000000000010001","000010000000010000010000010000000000000000","000000100001001000000000000000000001000001","100000000000000000000000000000000000000100","000000000000000000000000000000000000001000","000001000000000000000000000000000000000000","000000100000000010000000000000000001010000"}

    {41,29,39,5,33,22,27,19,7}

    Returns: 33

  32. {"000010001110100000011010000001001111000010011","000000000000000000000000000000000000000000000","000100110110110010001111011100000000011001110","001011010100000110100100001011111100001011100","100100001001110100001111011101100100111100010","000100010000011000011110010010000001011011011","001000001010100100011111001111110011010101110","001101001111001110001110111111000101111101010","100010110100011100100100101101111011010000001","101100011010010011010101111010000000011000000","101000110100000001110011100101111111100000111","000010010000000001111010010010001000110100101","101010100000001011000110100110111001010001100","001011001100000000101010101100001100100011100","000001011000100101000110111100101000100110010","000110111000001000001001110011000110010111110","001100010100100000010110000001101111111100110","000000000111101000100011000000110100000011000","000100001011010001010000110000100101010010100","100001100111000010100101100010001110111100100","101011110001010100000100010000101001110110000","001111111100101010011011010110111001000010100","101011110011111011000100001011110011111100111","001010100110000101010100111000010010101000000","000000011110111100110001010100001000101000100","001011010101001100101101100100000111000110111","001110111100011000000011000100001101110110101","001010111010111000000100111001010001001000010","000101110101100100010110000001100110001111111","100110111010000110000010000110000001110010001","000110101010101011101110000010001100010110001","000100101010100001000111000100000010000011101","100100001011111010011100101000100000010100111","100110010010010111110000011010100010111010001","100000101010000110010011010010010101101011111","100001111010100010101110011101000010000010000","000010010011011010011011101001000110000011110","001011111101100110111010001001101100000011111","001111010100000010010011100110000110000010011","000010110001001110011010011010101000000001011","100101000000011101101100011011110111111001100","001101110000110101000000000010010010110110110","001100100011110110110110111010011010110011010","101011110010001110000010010110001010111101101","100001001011000000000010011011111110011100010"}

    {1,4}

    Returns: 510

  33. {"0001000110011010111101000101110110100001110010000","0011010101011000011000000000000100000010011000101","0100110011001011101110100011001011010010011000001","1100010001001011010010010011101000011010000100011","0010011100110101001100011111110100000100000111101","0111100001000000100101010011101000100010010111001","0000100101010011110100010010110111111001010000001","1100101010101000000100010100000011001001001100101","1010000101001101000100000001000011110010001010000","0111011010100110001010011101111010101110000000000","0000100101000001100100100011001010010011000011100","1100101000000100010000000111000000000111010010000","1111000110000011010011110011000111001010001100010","0000100011010000111111011010110100101011010000010","1011001001001001100010000000001101000110101100101","0011101010101010011111000100011010001001000100110","1010011000100110001011010011110110100001101000011","1101001000011101001010100010111011111011100001011","1110100001000101110100010001000110001100110010100","1010111110100101001000010100110001100001010010010","0011000001001111110000000010110001011100000010110","1000010000001101100000011100111100011011110000010","0010000000101000010000001000111000111011100000000","0001111101001100101101000000101001011110110000111","0000100001000100000001100010111001100011001110000","1000100101010001000101000000011011000000000111011","0011111000111100110010001000100011001100100100001","1011110011111000101000000000011010010010010100100","1001111001000100110111111010000010000101111100001","1000101001000101110111101101000101000010100001111","0011010001100011010001111101000010010000011011100","1100101000001110101001000000010011100010101000101","1010001111101001111000000111101100110111000100011","0010001110001010010110011110010100100100100101100","1000011011000100110100101000000111010001110000011","0011001010100000010011110001001010100100110000001","0001001101001101011011110010000000000110000010100","0000100001010010001010010010100011011000000001010","0111010011111110010001111001010110001000011110101","1000001100110101110101101000100010100000100100000","1000000000000010111001110010110101110001000000101","1110011000010100001101010001101000110010000110000","0110000110001010100000001000101100000010000101101","0001110100001011000000001111100011000011011011101","1000110010110000001110001100001000001010010100010","0000110000100000010000000100011001000100001100001","0100100100100011001010010001011101001010101100011","0001000000001101110111010100010010100100000010100","0111111100000010110000010110110110110010101101100"}

    {19}

    Returns: 687

  34. {"000101101111111000010101001001001100101000","000001111110001100010011010001010101101100","000001110111111010000011000111010101100110","100000101101001001010101011110011100111001","000001001010000100000011011111011101110111","111010110100111011010111001010110101000111","111101000111110001010000010101001100100101","011001000000010011010000011011100100111001","110110000000001111000111010111001101011110","111101100010001101000101000001011001110011","111010100100110000010000001000111001010010","101100100000001101010101000101011101001111","101001100010011111010101010001111101101000","101001110010101100010100000101100000001111","111101001101110111000001000100011101010011","010010001101111000000111011110110100100100","001001011000101001010111000110000101011110","000101111101101010010110011100101101101000","000000000000000000001000100000000010000000","110101110011110011000001010110111101111110","000000000000000000100000000000000010000000","100101001101110111000001010101000000110101","011011001000000111000000010000111000100001","111111001101101110010100001000010000100100","000000000000000000100000000000000010000000","010110111000100101010110001100010001101111","100111010010000101000001010110010000010101","001110101001011111010100011011010100110100","001111011000000110010000001101001001001111","111010111101110000000100000110000001000100","000001010010110101010010000000000101110011","011111000111101100010011011100000101000101","100110101111101001010010000010000101100010","111111111001101111010000000100111001100010","000000000000000000101000100000000000000000","011011001111101011010000010011111100011100","111110110100100101010111010100101100001111","000110011110001010010100001100100001000101","110100011001110011010000010010000001100111","011011101001010110010101011111010001111000","001011001111011010010000010010101100101001","000111110101011000000110011010110000111010"}

    {18,16}

    Returns: 327

  35. {"00000000001000000100000011000000000000100000","00010000010000000000100000010000000101000000","00001000000000000000000000000000000000000000","01000000010000000000100000010000000001000000","00100000000000000000000000000000000000000100","00000000000100001000000100001000001000011010","00000000000000000000001000000000000000000000","00000000001000000100000000000011000000100000","00000000000000000000000000000100000000000000","01010000000000000000100000000000000100000000","10000001000001000100000011000000000000100000","00000100000000101000000100101000001010001000","00000000000000101010000100000000110010011000","00000000001000000000000001000000000000000001","00000000000110000010000100100000110000011000","00000000000000000001010000000000000000000000","00000100000110000010000100101000111010010000","10000001001000000000000011000010000000000001","00000000000010101000000100100000100010011000","00000000000000010000010000000000000000000000","01010000010000000000000000010000000101000000","00000000000000010001000000000000000000000000","00000010000000000000000000000000000000000000","00000100000110101010000000000000111000010010","10000000001000000100000001000001000000000001","10000000001001000100000010000011000000000001","00000000000100101010000000001000000010011000","01010000000000000000100000000000000000000000","00000100000100001000000000100000010000001010","00000000100000000000000000000000000000000000","00000001000000000100000001000001000000000001","00000001000000000000000011000010000000000000","00000000000010101010000100000000010010001010","00000000000010101000000100001000101010000000","00000100000100001000000100000000010010010000","01000000010000000000100000000000000001000000","00000000000110001010000000100000111000011000","01010000000000000000100000000000000100000000","10000001001000000000000000000000000000000000","00000100000010101010000100100000001010000010","00000100000110100010000000101000100010000000","00001000000000000000000000000000000000000000","00000100000000000000000100001000100000010000","00000000000001000100000011000010000000000000"}

    {27,19,6,7,4,32,29}

    Returns: 82

  36. {"00100100000000010000001100000000000001000","00100000000000000000001100010000000001000","11000100000000010000001100000000000001000","00000000001000000000010000000000100000001","00000011000010001110000000001110011000000","10100000000000010000001000010000000001000","00001001000110101110000000000110010000010","00001010100010101001000000100010010000100","00000001000110100000100000100100001000110","00000000000000000000000010000000000000000","00010000000000000000010000000001100010001","00000010100001001000100000101110001000010","00001011100000001111100000001010010000110","00000000000100100010100000101100000000100","00000011100001001011100000101110001000110","10100100000000000000001000010000000001000","00001011000110100110000000000010011000110","00001010000010001011100000001000011000000","00001010000011101101000000101100011000110","00000001000010100110100000101110011000110","00000000100111100101000000101000001000100","00010000001000000000000000000001100010001","11100100000000010000000100000000000001000","11100000000000000000001000010000000001000","00000000010000000000000000000000000000000","00000000000000000000000000000000000100000","00000001100101100011100000000010001000110","01000100000000010000000100000000000001000","00001000000111100111100000000110011000110","00001010100101100011000000001010001000010","00001011000110101001000000101100011000110","00000000001000000000010000000000100010001","00010000001000000000010000000001000010001","00001011000010001111000000001010000000110","00001000100100101111100000101110000000110","00000000000000000000000001000000000000000","00000000001000000000010000000001100000000","11100100000000010000001100010000000000000","00000001100011101011100000101010011000010","00000010100110101011000000101110011000100","00010000001000000000010000000001100000000"}

    {40,14,25,24,5}

    Returns: 88

  37. {"000000010000000100000000001000100000000000","000000000000000000000001100000000000000000","000000000000000000000000100000000000000000","000000000000000000000000000100010000000000","000000100000001010000000000000000001000000","000000000000000000000000000000000000000000","000010000000001010000000000000000001000100","100000000000000100000000000000000000000000","000000000001010000111010000010000000001010","000000000000000000000000000000000000000000","000000000001010000011010000000000100001000","000000001010010000111010010010000000000010","000000000000000001000000000001000000000001","000000001011000000001000000000000100001000","000010100000000010000000000000000000000000","100000010000000000000100001000001000100000","000010100000001000000000000000000001000100","000000000000100000000000000001000010000000","000000001001000000000010000010000100001000","000000001011000000001010010000000100000000","000000001011010000010010010010000000001010","000000000000000100000000000000101000000000","000000001011000000111000000010000100001000","010000000000000000000000000000000000010000","011000000000000000000000000000000000000000","000000000001000000011000000010000000000010","100000000000000100000000000000101000000000","000100000000000000000000000000010000000000","000000001001000000101010010000000100001000","000000000000100001000000000000000000000001","100000000000000000000100001000001000000000","000100000000000000000000000100000000000000","000000000000000100000100001000100000000000","000000000010010000110010000010000000000000","000000000000000001000000000000000000000001","000010100000000010000000000000000000000000","000000000000000100000000000000000000000000","000000000000000000000001000000000000000000","000000001010010000101010000010000000000010","000000100000000010000000000000000000000000","000000001001000000001000010000000000001000","000000000000100000000000000001000010000000"}

    {0,9,34,27,4,10,5,1}

    Returns: 57

  38. {"0"}

    {0}

    Returns: 0

    Smallest case.

  39. {"000", "000", "000" }

    {0 }

    Returns: 3

  40. {"01000", "10100", "01010", "00100", "00000" }

    {2, 4 }

    Returns: 3

  41. {"00000001000", "00000110000", "00010000000", "00100000000", "00000000000", "01000010000", "01000100000", "10000000100", "00000001001", "00000000000", "00000000100" }

    {2, 4, 7 }

    Returns: 22

  42. {"01111000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000000000000101", "00000000000000000000000000000000000000000000000010" }

    {0, 10, 20, 30, 48 }

    Returns: 943

  43. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000011100000000000000000000000000000000000000", "00000010000000000000000000000000000000000000000000", "00000101100000000000000000000000000000000000000000", "00000010100000000000000000000000000000000000000000", "00000011000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000", "00000000000010100000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000000", "00000000000000010100000000000000000000000000000000", "00000000000000001010000000000000000000000000000000", "00000000000000000101000000000000000000000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

    {0, 2, 4, 6, 16 }

    Returns: 779

  44. {"0100000", "1000000", "0000000", "0000100", "0001010", "0000100", "0000000" }

    {0, 4 }

    Returns: 8

  45. {"000100000", "000000010", "000010000", "100001000", "001000000", "000100000", "000000010", "010000100", "000000000" }

    {2, 7 }

    Returns: 17

  46. {"01000000", "10000000", "00011000", "00100000", "00100000", "00000010", "00000100", "00000000" }

    {1, 3 }

    Returns: 12

  47. {"0100000000000", "1010000000000", "0100000000000", "0000000100000", "0000011000000", "0000100000000", "0000100100000", "0001001000000", "0000000000000", "0000000000100", "0000000001000", "0000000000000", "0000000000000" }

    {2, 4, 12 }

    Returns: 32

  48. {"0000000001", "0000000000", "0000000000", "0000000000", "0000000000", "0000000000", "0000000000", "0000000000", "0000000000", "1000000000" }

    {3, 6, 8 }

    Returns: 27

  49. {"0100", "1000", "0001", "0010" }

    {0, 2 }

    Returns: 0

  50. {"0000", "0000", "0001", "0010" }

    {0, 2 }

    Returns: 2

  51. {"010000000000000000000000000", "101000000000000000000000000", "010000000000000000000000000", "000010000000000000000000000", "000101000000000000000000000", "000010000000000000000000000", "000000010000000000000000000", "000000101000000000000000000", "000000010100000000000000000", "000000001000000000000000000", "000000000001000000000000000", "000000000010100000000000000", "000000000001010000000000000", "000000000000100000000000000", "000000000000000100000000000", "000000000000001010000000000", "000000000000000101000000000", "000000000000000010000000000", "000000000000000000010000000", "000000000000000000101000000", "000000000000000000010100000", "000000000000000000001000000", "000000000000000000000001000", "000000000000000000000010100", "000000000000000000000001010", "000000000000000000000000101", "000000000000000000000000010" }

    {0, 3, 6, 10 }

    Returns: 128

  52. {"000000", "001000", "010000", "000010", "000101", "000010" }

    {0, 5 }

    Returns: 7

  53. {"01000000", "10000000", "00011000", "00101000", "00110000", "00000010", "00000100", "00000000" }

    {0, 2, 5 }

    Returns: 3

  54. {"00000000", "00000000", "00010000", "00101000", "00010100", "00001000", "00000001", "00000010" }

    {0, 2, 6 }

    Returns: 7

  55. {"01100000", "10100000", "11000000", "00001000", "00010000", "00000010", "00000100", "00000000" }

    {0, 3 }

    Returns: 11

  56. {"01100000000", "10100000000", "11000000000", "00001110000", "00010110000", "00011010000", "00011100000", "00000000111", "00000001011", "00000001101", "00000001110" }

    {0, 3 }

    Returns: 16

  57. {"010000000", "100000000", "000100000", "001000000", "000001100", "000010000", "000010000", "000000001", "000000010" }

    {4, 8 }

    Returns: 17

  58. {"00000000000", "00111000000", "01001000000", "01001000000", "01110000000", "00000011000", "00000100100", "00000100100", "00000011000", "00000000000", "00000000000" }

    {0, 5 }

    Returns: 36

  59. {"0000000000000000000", "0000011000010000000", "0000000000000000000", "0000100000000000000", "0001000001000000000", "0100000000000000000", "0100000000010000000", "0000000000000000000", "0000000000100000000", "0000100000000000000", "0000000010000000000", "0100001000000000000", "0000000000000111100", "0000000000001010000", "0000000000001100000", "0000000000001000100", "0000000000001001000", "0000000000000000001", "0000000000000000010" }

    {1, 2, 8, 12 }

    Returns: 59

  60. {"00000", "00100", "01000", "00000", "00000" }

    {0, 1 }

    Returns: 5

  61. {"0000000", "0010000", "0100000", "0000100", "0001010", "0000100", "0000000" }

    {0, 1, 3 }

    Returns: 4

  62. {"00000", "00000", "00000", "00000", "00000" }

    {0, 1, 2, 3, 4 }

    Returns: 0

  63. {"0" }

    {0 }

    Returns: 0

  64. {"000000", "000000", "000000", "000010", "000100", "000000" }

    {3, 5 }

    Returns: 9

  65. {"0000000", "0000000", "0000000", "0000100", "0001010", "0000101", "0000010" }

    {2, 3 }

    Returns: 12

  66. {"000100100", "000010001", "000010000", "100001000", "011000000", "000100000", "100000010", "000000100", "010000000" }

    {3, 4 }

    Returns: 9

  67. {"01100000", "10100000", "11000000", "00000000", "00000111", "00001011", "00001101", "00001110" }

    {0, 7 }

    Returns: 4

  68. {"00000", "00000", "00010", "00101", "00010" }

    {1, 4 }

    Returns: 4

  69. {"00010000000000000000000000000000000000000000000000", "00000111000000000000000000000000000000000000000000", "00000000110000000000000000000000000000000000000000", "10001000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000000000000", "01000011000000000000000000000000000000000000000000", "01000101000000000000000000000000000000000000000000", "01000110000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000001010000000000000000000000000000000000000", "00000000000101000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000000011000000000000000000000000000000000", "00000000000000101000000000000000000000000000000000", "00000000000000110000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

    {0, 1, 2 }

    Returns: 936

  70. {"000000", "001000", "010000", "000000", "000001", "000010" }

    {0, 1 }

    Returns: 8

  71. {"0100", "1000", "0000", "0000" }

    {0 }

    Returns: 5

  72. {"0110000000000000000", "1001000000000000000", "1000000000000000000", "0100100000000000000", "0001010000000000000", "0000100000000000000", "0000000111100000000", "0000001011100000000", "0000001101100000000", "0000001110100000000", "0000001111000000000", "0000000000001000000", "0000000000010100000", "0000000000001000000", "0000000000000001010", "0000000000000010100", "0000000000000001010", "0000000000000010100", "0000000000000000000" }

    {3, 6 }

    Returns: 80

  73. {"011100000000", "100000000000", "100000000000", "100000000000", "000001111000", "000010110000", "000011011000", "000011100000", "000010100000", "000000000010", "000000000100", "000000000000" }

    {0, 4 }

    Returns: 22

  74. {"0000", "0010", "0100", "0000" }

    {0, 1 }

    Returns: 2

  75. {"01000000", "10000000", "00010000", "00101000", "00010000", "00000010", "00000101", "00000010" }

    {1 }

    Returns: 23

  76. {"0100000", "1000000", "0000000", "0000000", "0000001", "0000001", "0000110" }

    {0, 5 }

    Returns: 8

  77. {"010000000", "101000000", "010100000", "001000000", "000001000", "000010000", "000000000", "000000001", "000000010" }

    {2, 6, 8 }

    Returns: 11

  78. {"01000", "10010", "00000", "01000", "00000" }

    {2, 4 }

    Returns: 4

  79. {"010", "100", "000" }

    {2 }

    Returns: 2

  80. {"0110000000", "1010000000", "1100000000", "0000001000", "0000011000", "0000100000", "0001100000", "0000000000", "0000000000", "0000000000" }

    {1, 3 }

    Returns: 18

  81. {"01111000000000000000", "10111000000000000000", "11011000000000000000", "11101000000000000000", "11110000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000000", "00000000000000000001", "00000000000000000001", "00000000000000000001", "00000000000000000001", "00000000000000000001", "00000000000000000001", "00000000000001111110" }

    {2, 17 }

    Returns: 99

  82. {"0000", "0000", "0001", "0010" }

    {1, 2 }

    Returns: 2

  83. {"01100", "10100", "11000", "00000", "00000" }

    {1, 4 }

    Returns: 3

  84. {"00", "00" }

    {0, 1 }

    Returns: 0

  85. {"0100", "1000", "0001", "0010" }

    {0 }

    Returns: 4

  86. {"000", "001", "010" }

    {0 }

    Returns: 2

  87. {"010000", "100000", "000110", "001000", "001000", "000000" }

    {0, 2 }

    Returns: 4

  88. {"0100000", "1000000", "0001100", "0010000", "0010000", "0000000", "0000000" }

    {0, 2 }

    Returns: 8

  89. {"01100000", "10000000", "10000000", "00001100", "00010000", "00010000", "00000001", "00000010" }

    {0, 3 }

    Returns: 8

  90. {"000000", "001000", "010000", "000000", "000000", "000000" }

    {0, 1 }

    Returns: 9

  91. {"00100", "00001", "10000", "00000", "01000" }

    {0, 1 }

    Returns: 2

  92. {"011000", "100000", "100000", "000000", "000001", "000010" }

    {3, 4 }

    Returns: 7

  93. {"011000000", "100000000", "100000000", "000011100", "000100000", "000100000", "000100000", "000000000", "000000000" }

    {0, 3 }

    Returns: 13

  94. {"010000", "101000", "010100", "001000", "000001", "000010" }

    {2, 4 }

    Returns: 3

  95. {"0100", "1010", "0100", "0000" }

    {3 }

    Returns: 4

  96. {"00000", "00100", "01000", "00001", "00010" }

    {0, 1 }

    Returns: 4

  97. {"010000", "100000", "000000", "000000", "000000", "000000" }

    {1, 3 }

    Returns: 9

  98. {"01000000000", "10000000000", "00010000000", "00101100000", "00010000000", "00010000000", "00000000000", "00000000000", "00000000000", "00000000000", "00000000000" }

    {0, 2, 6, 7 }

    Returns: 18

  99. {"00000000000000100000000000000000000000000000", "00000000000000000000000000000000000010000000", "00000000000000000000000100000000000000000000", "00000000000000000000000000000000100000000000", "00000000000001000000000000000000000000000000", "00000000000000000000000000000000010000000000", "00000000000000000000100000000000000010000000", "00000000000000000000100000000000000010000000", "00000000010000000010000000000000000000000000", "00000000100000000000000000000000000000000000", "00000000000000000000000000000000010000000000", "00000000000010000000000000000000000000000000", "00000000000100001000000000000000000000000000", "00001000000000000000001000001000000000000000", "10000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000", "00000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000", "00000000000000000000000000000000000001000000", "00000011000000000000000000000000000000010000", "00000000000000000000000000000100000000000000", "00000000000001000000000000000010000000000000", "00100000000000000000000000000000000000000000", "00000000000000000000000001000000000000001100", "00000000000000000000000010010000100000001101", "00000000000000000000000000000000010000000000", "00000000000000000000000001000000000000000000", "00000000000001000000000000000010000000000000", "00000000000000000000010000000000000000000000", "00000000000000000000001000001000000010000000", "00000000000000000000000000000000010000000000", "00010000000000000000000001000000000100001011", "00000100001000000000000000100001000000000000", "00000000000000000000000000000000000000100000", "00000000000000000000000000000000100000000000", "01000011000000000000000000000010000000010000", "00000000000000000001000000000000000000000000", "00000000000000000000000000000000001000000000", "00000000000000000000100000000000000010000000", "00000000000000000000000011000000100000000010", "00000000000000000000000011000000000000000000", "00000000000000000000000000000000100000001000", "00000000000000000000000001000000100000000000" }

    {2, 7, 9, 14, 15, 16, 17, 19, 25, 29, 33, 38 }

    Returns: 81

  100. {"011", "101", "110" }

    {0 }

    Returns: 0

  101. {"01000000", "10100000", "01010000", "00100000", "00000100", "00001010", "00000101", "00000010" }

    {2, 6 }

    Returns: 6

  102. {"0110000000000000000000", "1000000000000000000000", "1000000000000000000000", "0000110000000000000000", "0001000000000000000000", "0001000000000000000000", "0000000110000000000000", "0000001000000000000000", "0000001000000000000000", "0000000000100000000000", "0000000001000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000", "0000000000000000000000" }

    {0, 3, 6, 18 }

    Returns: 104

  103. {"000000000001100", "001110000000000", "010000000000000", "010010000000000", "010100000000000", "000000000000000", "000000010000010", "000000100000010", "000000000110000", "000000001000000", "000000001000000", "100000000000100", "100000000001000", "000000110000000", "000000000000000" }

    {1, 8, 13 }

    Returns: 30

  104. {"00000", "00000", "00011", "00100", "00100" }

    {0, 2 }

    Returns: 4

  105. {"0100000000", "1000000000", "0000000000", "0000000000", "0000010000", "0000100000", "0000000110", "0000001001", "0000001001", "0000000110" }

    {0, 6 }

    Returns: 23

  106. {"01111111111111111111111110000000000000000000000000", "10111111111111111111111110000000000000000000000000", "11011111111111111111111110000000000000000000000000", "11101111111111111111111110000000000000000000000000", "11110111111111111111111110000000000000000000000000", "11111011111111111111111110000000000000000000000000", "11111101111111111111111110000000000000000000000000", "11111110111111111111111110000000000000000000000000", "11111111011111111111111110000000000000000000000000", "11111111101111111111111110000000000000000000000000", "11111111110111111111111110000000000000000000000000", "11111111111011111111111110000000000000000000000000", "11111111111101111111111110000000000000000000000000", "11111111111110111111111110000000000000000000000000", "11111111111111011111111110000000000000000000000000", "11111111111111101111111110000000000000000000000000", "11111111111111110111111110000000000000000000000000", "11111111111111111011111110000000000000000000000000", "11111111111111111101111110000000000000000000000000", "11111111111111111110111110000000000000000000000000", "11111111111111111111011110000000000000000000000000", "11111111111111111111101110000000000000000000000000", "11111111111111111111110110000000000000000000000000", "11111111111111111111111010000000000000000000000000", "11111111111111111111111100000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000010", "00000000000000000000000000000000000000000000000101", "00000000000000000000000000000000000000000000000010" }

    {0 }

    Returns: 923

  107. {"0100000000", "1000000000", "0001000000", "0010100000", "0001000000", "0000001000", "0000010000", "0000000010", "0000000101", "0000000010" }

    {0, 2 }

    Returns: 23

  108. {"00000", "00000", "00011", "00100", "00100" }

    {1, 2 }

    Returns: 4

  109. {"0110", "1000", "1000", "0000" }

    {3 }

    Returns: 4

  110. {"000000", "001000", "010000", "000011", "000100", "000100" }

    {1, 3 }

    Returns: 4

  111. {"0100000000000000", "1010000000000000", "0101000000000000", "0010000000000000", "0000010000000000", "0000101000000000", "0000010100000000", "0000001010000000", "0000000100000000", "0000000000100000", "0000000001000000", "0000000000000100", "0000000000000010", "0000000000010000", "0000000000001000", "0000000000000000" }

    {12, 11, 10 }

    Returns: 58

  112. {"0000000", "0010000", "0101000", "0010000", "0000000", "0000000", "0000000" }

    {0, 1 }

    Returns: 13

  113. {"00011110101", "00000000000", "00010101100", "10100000101", "10000100101", "10101011100", "10000100101", "00100100101", "10111111001", "00000000000", "10011011100" }

    {1, 9 }

    Returns: 22

  114. {"01000", "10000", "00011", "00100", "00100" }

    {0 }

    Returns: 7

  115. {"0000", "0000", "0001", "0010" }

    {0, 1 }

    Returns: 2

  116. {"01000000000", "10000110000", "00010000000", "00100000000", "00000000000", "01000010000", "01000100000", "00000000100", "00000001001", "00000000000", "00000000100" }

    {2, 4, 7 }

    Returns: 22

  117. {"000000", "001000", "010000", "000011", "000100", "000100" }

    {0, 1 }

    Returns: 7

  118. {"01000", "10000", "00010", "00100", "00000" }

    {0, 4 }

    Returns: 4

  119. {"0000", "0000", "0000", "0000" }

    {0 }

    Returns: 6

  120. {"0000000", "0000000", "0001000", "0010100", "0001010", "0000101", "0000010" }

    {0, 2 }

    Returns: 11

  121. {"0100", "1001", "0001", "0110" }

    {1 }

    Returns: 3

  122. {"01000", "10000", "00000", "00000", "00000" }

    {0, 2 }

    Returns: 5

  123. {"0111100000", "1011100000", "1101100000", "1110100000", "1111000000", "0000000010", "0000000010", "0000000010", "0000011100", "0000000000" }

    {0, 7 }

    Returns: 8

  124. {"0000", "0001", "0000", "0100" }

    {0, 1 }

    Returns: 2

  125. {"000101", "000001", "000011", "100001", "001001", "111110" }

    {3 }

    Returns: 8

  126. {"0100000", "1000000", "0001100", "0010100", "0011000", "0000001", "0000010" }

    {0, 2 }

    Returns: 6

  127. {"00000", "00000", "00010", "00101", "00010" }

    {1, 3 }

    Returns: 4

  128. {"00100000", "00010000", "10001010", "01000101", "00100010", "00010001", "00101000", "00010100" }

    {0, 1 }

    Returns: 4

  129. {"01100000000000000000000000000000000000000000000000", "10010000000000000000000000000000000000000000000000", "10010000000000000000000000000000000000000000000000", "01100000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00001010000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000010100000000000000000000000000000000000000", "00000000001010000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

    {2, 5, 7 }

    Returns: 984

  130. {"01000000000000000000000000000000000000000000000000", "10100000000000000000000000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00010100000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000", "00000010100000000000000000000000000000000000000000", "00000001010000000000000000000000000000000000000000", "00000000101000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000101000000000000000000000000000000000000", "00000000000010100000000000000000000000000000000000", "00000000000001010000000000000000000000000000000000", "00000000000000101000000000000000000000000000000000", "00000000000000010100000000000000000000000000000000", "00000000000000001010000000000000000000000000000000", "00000000000000000101000000000000000000000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000010000000000000000000000000000", "00000000000000000000101000000000000000000000000000", "00000000000000000000010100000000000000000000000000", "00000000000000000000001010000000000000000000000000", "00000000000000000000000101000000000000000000000000", "00000000000000000000000010100000000000000000000000", "00000000000000000000000001010000000000000000000000", "00000000000000000000000000101000000000000000000000", "00000000000000000000000000010100000000000000000000", "00000000000000000000000000001000000000000000000000", "00000000000000000000000000000001000000000000000000", "00000000000000000000000000000010100000000000000000", "00000000000000000000000000000001010000000000000000", "00000000000000000000000000000000101000000000000000", "00000000000000000000000000000000010100000000000000", "00000000000000000000000000000000001010000000000000", "00000000000000000000000000000000000101000000000000", "00000000000000000000000000000000000010100000000000", "00000000000000000000000000000000000001010000000000", "00000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000001010000000", "00000000000000000000000000000000000000000101000000", "00000000000000000000000000000000000000000010100000", "00000000000000000000000000000000000000000001010000", "00000000000000000000000000000000000000000000101000", "00000000000000000000000000000000000000000000010100", "00000000000000000000000000000000000000000000001010", "00000000000000000000000000000000000000000000000101", "00000000000000000000000000000000000000000000000010" }

    {0, 5, 8 }

    Returns: 909

  131. {"01100", "10100", "11010", "00100", "00000" }

    {2, 4 }

    Returns: 2

  132. {"000000000", "001000000", "010010000", "000010000", "001100000", "000000000", "000000001", "000000001", "000000110" }

    {3, 6 }

    Returns: 13

  133. {"01111", "10111", "11011", "11101", "11110" }

    {0 }

    Returns: 0

  134. {"0010000000000", "0001000000000", "1000000100000", "0100001000000", "0000010000000", "0000100000000", "0001000000000", "0010000000000", "0000000000000", "0000000000000", "0000000000000", "0000000000000", "0000000000000" }

    {3, 7, 9, 12 }

    Returns: 26

  135. {"0100000", "1000000", "0001000", "0010100", "0001000", "0000001", "0000010" }

    {0, 2 }

    Returns: 7

  136. {"0100000000", "1010000000", "0101000000", "0010000000", "0000010000", "0000101000", "0000010100", "0000001000", "0000000001", "0000000010" }

    {2, 6 }

    Returns: 14

  137. {"01100000", "10000000", "10000000", "00000000", "00000110", "00001010", "00001101", "00000010" }

    {0, 4 }

    Returns: 7

  138. {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }

    {0, 1, 2, 3, 4 }

    Returns: 1035

  139. {"000000", "001100", "010000", "010000", "000001", "000010" }

    {0, 1 }

    Returns: 7

  140. {"0010", "0001", "1000", "0100" }

    {0, 1 }

    Returns: 0

  141. {"0000", "0010", "0100", "0000" }

    {2, 0 }

    Returns: 2

  142. {"000000", "001000", "010000", "000010", "000101", "000010" }

    {1, 3 }

    Returns: 4

  143. {"010000", "100000", "000100", "001000", "000001", "000010" }

    {0, 2, 4 }

    Returns: 0

  144. {"00000010", "00101000", "01001000", "00000100", "01100000", "00010000", "10000000", "00000000" }

    {2, 3 }

    Returns: 11

  145. {"00000", "00100", "01000", "00001", "00010" }

    {0, 4 }

    Returns: 4

  146. {"0000", "0000", "0001", "0010" }

    {0, 3 }

    Returns: 2

  147. {"0100000000", "1010000000", "0100000000", "0000101000", "0001010000", "0000100000", "0001000000", "0000000000", "0000000000", "0000000000" }

    {0, 3 }

    Returns: 19

  148. {"00000", "00000", "00010", "00101", "00010" }

    {0, 4 }

    Returns: 4

  149. {"00000", "00000", "00010", "00101", "00010" }

    {0, 2 }

    Returns: 4

  150. {"00001000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000000000000000", "01010000000000000000000000000000000000000000000000", "00101000000000000000000000000000000000000000000000", "10010000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000111111111000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000001001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000001100000000000000000", "00000000000000000000000000000010100000000000000000", "00000000000000000000000000000011000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000110000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000001000010100", "00000000000000000000000000000000000000001000101000", "00000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000100010", "00000000000000000000000000000000000000000000000100", "00000000000000000000000000000000000000000000000000" }

    {0, 10, 22, 30, 40 }

    Returns: 535

  151. {"010000", "100000", "000100", "001010", "000100", "000000" }

    {0, 2 }

    Returns: 4

  152. {"010000", "101000", "010000", "000010", "000101", "000010" }

    {0, 3 }

    Returns: 2

  153. {"000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000", "000000000000000000000000000000" }

    {0 }

    Returns: 435

  154. {"00000", "00000", "00011", "00101", "00110" }

    {0, 2 }

    Returns: 3

  155. {"0000000110", "0010000000", "0100000000", "0000000001", "0000000000", "0000001000", "0000010000", "1000000000", "1000000000", "0001000000" }

    {3, 4, 5 }

    Returns: 17

  156. {"0110000", "1000000", "1000000", "0000100", "0001010", "0000101", "0000010" }

    {0, 3 }

    Returns: 4

  157. {"001", "000", "100" }

    {0, 1 }

    Returns: 0

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