Statistics

Problem Statement for "BoardFoldingDiv2"

Problem Statement

Little Petya likes puzzles a lot. Recently he has received one as a gift from his mother. The puzzle has the form of a rectangular sheet of paper that is divided into N rows by M columns of unit square cells. Rows are numbered 0 through N-1 from top to bottom, and columns 0 through M-1 from left to right. Each cell is colored either black or white. You are given a description of the paper, the exact format is specified at the end of this problem statement.

The goal of the puzzle is to fold the paper. This has to be done in a sequence of turns. In each turn, Petya has to fold the paper according to the rules below. He can end the process after any number of turns (including zero), even if there are still valid ways to fold the paper.

In each turn, Petya must follow these steps: To start folding, he must choose a line that is parallel to one of the sides of the paper and passes between two rows/columns of cells. He can then take the smaller part of the paper and fold it on top of the larger part. (If the line divides the current paper in half, he can fold either half on top of the other.) There is one additional restriction: Petya may only perform the fold if all cells of the part that is being folded land on equally-colored cells of the part that remains in place.

For example, consider the following paper (with 0 and 1 representing white and black): 
10010101
11110100
00000000
01101110


Here, Petya could choose the vertical line that goes between the two leftmost columns and the rest of the paper. Note that this is a valid choice: as he makes the fold, the cells from the leftmost two columns will all match their counterparts in the right part of the paper. This is how the paper looks like after the fold (with periods representing empty spaces): 
..010101
..110100
..000000
..101110


Clearly, even after multiple folds the paper will always look like a subrectangle of the original paper. Two states of the game are considered the same if that rectangle has the same dimensions and the same offset with respect to the original top left corner of the paper. (Note that folding order does not matter. Two different sequences of folding may produce the same final state.)

You are given a description of the original state of the paper as a String[] paper. Here N is the number of elements in paper and M is the length of its each element. For each i and j, the character paper[i][j] is either '0' (meaning that the cell (i,j) is white) or '1' (the cell is black). Compute and return the number of possible final states of the game.

Definition

Class:
BoardFoldingDiv2
Method:
howMany
Parameters:
String[]
Returns:
int
Method signature:
int howMany(String[] paper)
(be sure your method is public)

Constraints

  • paper will contain between 1 and 50 elements, inclusive.
  • Each element of paper will contain between 1 and 50 elements, inclusive.
  • All elements of paper will have the same length.
  • paper will contain only characters '0' and '1'.

Examples

  1. {"10", "11"}

    Returns: 1

    There is no valid way to fold this paper, so there is just one possible outcome.

  2. {"1111111", "1111111"}

    Returns: 84

    We can fold it into any of the 84 possible subrectangles of the original rectangle.

  3. {"0110", "1001", "1001", "0110"}

    Returns: 9

  4. {"0", "0", "0", "1", "0", "0"}

    Returns: 6

  5. {"000", "010", "000"}

    Returns: 1

  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"}

    Returns: 1625625

  7. {"111111111111111111111111111111111111111111111111","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","100011000000000110000000010001000001000000000100","011100111111111001111111101110111110111111111011","111111111111111111111111111111111111111111111111","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","011100111111111001111111101110111110111111111011","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","100011000000000110000000010001000001000000000100","100011000000000110000000010001000001000000000100","011100111111111001111111101110111110111111111011","100011000000000110000000010001000001000000000100","000000000000000000000000000000000000000000000000","111111111111111111111111111111111111111111111111","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","100011000000000110000000010001000001000000000100","000000000000000000000000000000000000000000000000","111111111111111111111111111111111111111111111111","100011000000000110000000010001000001000000000100","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","011100111111111001111111101110111110111111111011","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000"}

    Returns: 4

  8. {"0000001111111001","1010011101011100","0000001111111001","1010011101011100","1010011101011100","1010011101011100","0000001111111001","1010011101011100","0000001111111001","0000001111111001","1010011101011100","1010011101011100","1010011101011100","0000001111111001","1010011101011100","1010011101011100","1010011101011100","1010011101011100","1010011101011100","0000001111111001","1010011101011100","0000001111111001","1010011101011100","1010011101011100","1010011101011100","1010011101011100","0000001111111001","1010011101011100","1010011101011100","1010011101011100","1010011101011100","0000001111111001","1010011101011100","1010011101011100"}

    Returns: 6

  9. {"0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0110110000001010100111000100100001000101001","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","1001001111110101011000111011011110111010110","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","1001001111110101011000111011011110111010110","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000","0000000000000000000000000000000000000000000"}

    Returns: 120

  10. {"101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","110110111111000110110","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","110110111111000110110","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111","101110011101111001111"}

    Returns: 628

  11. {"1000100000010000000000000000000000100","1000000001000000001000000000001000000"}

    Returns: 2

  12. {"111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111"}

    Returns: 341334

  13. {"00","11","11","00","11","00","00","00","00","00","00","00","00","00","00","00","00","00","11","11","00","00","00","00","11","00","00","00","00","11","00","00","11","00","00","11","00","00","00","11","00","11","00","11","00"}

    Returns: 6

  14. {"000000000000000000000000000000000000000","101101101000101000110000110111110011110","010010010111010111001111001000001100001","000000000000000000000000000000000000000","000000000000000000000000000000000000000","101101101000101000110000110111110011110","010010010111010111001111001000001100001","000000000000000000000000000000000000000","000000000000000000000000000000000000000","000000000000000000000000000000000000000","000000000000000000000000000000000000000"}

    Returns: 48

  15. {"01111100100110100100010100100101","00001000101000100110001100110001","01111100100110100100010100100101","00001000101000100110001100110001","00001000101000100110001100110001","01111100100110100100010100100101","01111100100110100100010100100101","01111100100110100100010100100101","01111100100110100100010100100101","00001000101000100110001100110001","00001000101000100110001100110001","01111100100110100100010100100101","01111100100110100100010100100101","00001000101000100110001100110001","01111100100110100100010100100101"}

    Returns: 1

  16. {"00000000000000100000000000000110","00000000000000100000000000000110","00000000000000100000000000000110","00000000000000100000000000000110","00000000000000100000000000000110","00000000010000000000000000110000","00000000000000100000000000000110","00000000000000100000000000000110","00000000000000100000000000000110","00000000000000100000000000000110","00000000010000000000000000110000","00000000000000100000000000000110","00000000000000100000000000000110","00000000010000000000000000110000","00000000010000000000000000110000","00000000000000100000000000000110","00000000000000100000000000000110"}

    Returns: 684

  17. {"1111111"}

    Returns: 28

  18. {"1000000001100010000000000100100","1000000001100010000000000100100","0100000000000000001000000000100","1000000001100010000000000100100","1000000001100010000000000100100"}

    Returns: 8

  19. {"00000000000000000","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00000000000000000","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00000000000000000","00000000000000000","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00100000001000011","00000000000000000","00100000001000011"}

    Returns: 72

  20. {"0100000110100100111000001110001000","1111111111111111111111111111111111","0000000000000000000000000000000000","1111111111111111111111111111111111","0000000000000000000000000000000000","0000000000000000000000000000000000","1111111111111111111111111111111111","1011111001011011000111110001110111","0000000000000000000000000000000000","0000000000000000000000000000000000","0000000000000000000000000000000000","0100000110100100111000001110001000","1011111001011011000111110001110111","0000000000000000000000000000000000","0100000110100100111000001110001000","0100000110100100111000001110001000","1011111001011011000111110001110111","0000000000000000000000000000000000","0100000110100100111000001110001000","0000000000000000000000000000000000","0100000110100100111000001110001000","0000000000000000000000000000000000"}

    Returns: 3

  21. {"110101010111011011111110","110101010111011011111110","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","001010101000100100000001","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","001010101000100100000001","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","001010101000100100000001","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","110101010111011011111110","000000000000000000000000","000000000000000000000000","001010101000100100000001","000000000000000000000000","000000000000000000000000","000000000000000000000000","000000000000000000000000","110101010111011011111110"}

    Returns: 4

  22. {"0000000000","0110100111","0000000000","1001011000","0110100111","0000000000","0000000000","0000000000","0110100111"}

    Returns: 8

  23. {"111111111111111111110111111101111111111111","111111111111111111110111111101111111111111","000000000000000000001000000010000000000000","111111111111111111110111111101111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","111111111111111111111111111111111111111111","111111111111111111110111111101111111111111","111111111111111111111111111111111111111111","000000000000000000001000000010000000000000","111111111111111111110111111101111111111111","111111111111111111110111111101111111111111","000000000000000000001000000010000000000000","000000000000000000001000000010000000000000","111111111111111111111111111111111111111111","111111111111111111110111111101111111111111","111111111111111111110111111101111111111111","000000000000000000001000000010000000000000","111111111111111111111111111111111111111111","111111111111111111110111111101111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111111111111111111111111111","111111111111111111110111111101111111111111","000000000000000000000000000000000000000000","000000000000000000001000000010000000000000","000000000000000000000000000000000000000000","000000000000000000001000000010000000000000","111111111111111111110111111101111111111111","111111111111111111110111111101111111111111","000000000000000000000000000000000000000000","111111111111111111110111111101111111111111","000000000000000000000000000000000000000000","000000000000000000001000000010000000000000","000000000000000000001000000010000000000000","000000000000000000001000000010000000000000","111111111111111111111111111111111111111111","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000"}

    Returns: 1560

  24. {"1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111","1111111111111111111111111"}

    Returns: 266500

  25. {"111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111111111111111111111111110111111111111","111111111111011111111111111111111111101111111111","111111111111011111111111111111111111101111111111"}

    Returns: 240

  26. {"001","100","001","100","100","100","100","001","100","100","100","001","100","001","100","001","100","100","100","100","100","100","001","100","001","100","001","100","001","001","001","100","100","001","100","100","100"}

    Returns: 3

  27. {"00110100100000100100000010001110","00110100100000100100000010001110","10001001000100011010100001010100","10001001000100011010100001010100","00110100100000100100000010001110","10001001000100011010100001010100","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","10001001000100011010100001010100","10001001000100011010100001010100","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","10001001000100011010100001010100","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110","00110100100000100100000010001110"}

    Returns: 51

  28. {"01000010000101011100001001000101","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","01000010000101011100001001000101","01000010000101011100001001000101","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000","00000000001000100010101100100000"}

    Returns: 39

  29. {"000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000100100000100000100000000000000000000001","000100100000100000100000000000000000000001","000000000000000000000000000000000000000000","111011011111011111011111111111111111111110","000000000000000000000000000000000000000000","000100100000100000100000000000000000000001","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","111011011111011111011111111111111111111110","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000","000000000000000000000000000000000000000000"}

    Returns: 720

  30. {"0011111101101011101001111100000100001","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0011111101101011101001111100000100001","0001101111100000101000011111010011100","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0001101111100000101000011111010011100","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0001101111100000101000011111010011100","0011111101101011101001111100000100001","0011111101101011101001111100000100001","0001101111100000101000011111010011100","0011111101101011101001111100000100001"}

    Returns: 60

  31. {"000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","011000100000000000000000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","011000100000000000000000","011000100000000000000000","000000001000000000100000","000000001000000000100000","011000100000000000000000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000","000000001000000000100000"}

    Returns: 490

  32. {"011101110010","011101110010","111111100110","111111100110","011101110010","011101110010","011101110010","011101110010","011101110010","011101110010","111111100110","111111100110","011101110010","011101110010","011101110010","011101110010","011101110010","011101110010","111111100110","111111100110","011101110010","011101110010","011101110010","111111100110","011101110010","111111100110","111111100110","011101110010","111111100110","011101110010","011101110010","111111100110","011101110010"}

    Returns: 33

  33. {"0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","1001100000110100000010001000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0110011111001011111101110111","0000000000000000000000000000","1001100000110100000010001000","1001100000110100000010001000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0000000000000000000000000000","0110011111001011111101110111","0000000000000000000000000000","0000000000000000000000000000"}

    Returns: 234

  34. {"111011111011111111","000000000000000000"}

    Returns: 24

  35. {"1000101001100110101111000010110100001","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","0000000010000100000000010011010010100","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","0000000010000100000000010011010010100","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","1000101001100110101111000010110100001","0000000010000100000000010011010010100","1000101001100110101111000010110100001","1000101001100110101111000010110100001","1000101001100110101111000010110100001"}

    Returns: 15

  36. {"11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","01101100001010010101000100010110","11111111111111111111111111111111","01101100001010010101000100010110","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","10010011110101101010111011101001","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111","01101100001010010101000100010110","11111111111111111111111111111111","11111111111111111111111111111111","11111111111111111111111111111111"}

    Returns: 36

  37. {"000000000001000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000001000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000110000000","000000000000000000000000000000000000000000000000","000000000000000010000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000010000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000010000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000100","000000000000000001000000000000000000000000000000","000000000001000000000100000000000000000000000000","000001000000000000000000000000000000000000010000","000000000000000000000000000000000000000000000000","000000000000000010000000000000000000000000000000","000000000000000000000000100000001000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","100000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000000000000000000000000000","000000000000000000000000010000000000000000000000","000000001000000000000000000000000000100000000000","000000000000000000100000000000000000000000000000"}

    Returns: 2

  38. {"00000010000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000100000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","00000000000000000","01000000000000000","00000000000000000"}

    Returns: 8

  39. {"00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000010000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000100000000000","00000000000000000000","00000000000010000000","00000000000000000000","00100000000000000000","00100000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000000000000000000","00000010000000000000","00000000001000000000","00000000010000000000","00000000001000000000","00000000000000000000","00000000000000000000","00000000000010000000","00000000000000000000"}

    Returns: 70

  40. {"0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000001000","0000000000000010000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0100000000000000000010000","0000000000000000000000000","1000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0001000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000010000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0100000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000","0000000000000000000000000"}

    Returns: 54

  41. {"0000000000000000000000000000000000000000","0000000000000000000000000000000000000000","0000000000000000000000000000000000000000","0000000000000000000000000000000000000000","0000000000000000000000000000000000000000","0000000000000000000000000000000000000000"}

    Returns: 17220

  42. {"00000000000000000000000000000000000000001000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000"}

    Returns: 3360

  43. {"000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000001000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000010000000000000000000000000000","010000000000000000000000000000010000","000000000000000000000000000000000000","000000010000000000000000000000000000","000000000000000000000001000000000000","000000000000000010000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000100000","000000000000000000000000100000000000","000000000000000000000000000000000100","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000100000000000000","000000000000010000000000000000000000","000000010000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000001000000000000","000000000000000000000000000000000000","100000000000000000000000000000000000"}

    Returns: 14

  44. {"000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","000000","001000","000000","000000"}

    Returns: 444

  45. {"00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000100","00001000000000","00000000000000","10000000100000","10000000000000","00000000000001","00000000000000","00000000000000","00000000000001","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000010000","00000000000000","00000000000000","00000000001000","00000001000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000","00000000000000"}

    Returns: 35

  46. {"000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000001000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000001000000000","000010000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000","000000000000000000000000000000"}

    Returns: 504

  47. {"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","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000"}

    Returns: 2401

  48. {"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","00000000000000000000000000000000000000000000000001"}

    Returns: 2401

  49. {"00000000000000000000000000000000000000000000000001","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"}

    Returns: 2401

  50. {"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","10000000000000000000000000000000000000000000000000"}

    Returns: 2401

  51. {"10000000000000000000000000000000000000000000000001","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"}

    Returns: 2401

  52. {"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","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000001"}

    Returns: 1

  53. {"00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111"}

    Returns: 109650

  54. {"01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101"}

    Returns: 109650

  55. {"01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010"}

    Returns: 7396

  56. {"01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010"}

    Returns: 7396

  57. {"01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010","01101001100101101001011001101001100101100110100101","10010110011010010110100110010110011010011001011010"}

    Returns: 7396

  58. {"11111100111111111111111111111111111111111111111111"}

    Returns: 300

  59. {"10111111101111111111111111111111111111111111110111"}

    Returns: 21

  60. {"11111111111111111111111111111111111111111111110111"}

    Returns: 138

  61. {"11111111111111111111111010111111111111111111011111"}

    Returns: 322

  62. {"11111111111111111111111111111111111111111101111111"}

    Returns: 294

  63. {"11111111111111111101111111111011111111111111111"}

    Returns: 481

  64. {"11111011110111111011111111111111111"}

    Returns: 201

  65. {"11111111111"}

    Returns: 66

  66. {"11111111111111111111111111111111111111111"}

    Returns: 861

  67. {"1111111101111111111111111111101111"}

    Returns: 152

  68. {"10111111111111111111111"}

    Returns: 21

  69. {"11111111"}

    Returns: 36

  70. {"111011111111111111111111"}

    Returns: 60

  71. {"011111111111111111111111"}

    Returns: 23

  72. {"1"}

    Returns: 1

  73. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 1275

  74. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 1275

  75. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","0","1","0","1","1","0","1","1","1","1","1","1","0","1","1","1","1","1","0","1","0","1","1","1","1","1","0","1","1","1","1","1","1"}

    Returns: 102

  76. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","0","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","0","1","1","1","1","1"}

    Returns: 105

  77. {"1","1","1","1","1","0","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 88

  78. {"0","1","1","1","1","1","1","1","1","1","0","0","1","1","1","1","1","1","1"}

    Returns: 8

  79. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 1081

  80. {"1","1","1"}

    Returns: 6

  81. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 225

  82. {"1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","0","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 347

  83. {"1","1","1","1"}

    Returns: 10

  84. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 196

  85. {"1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","0","1","1","1","1","1","1","1","1","1","1"}

    Returns: 120

  86. {"1","0","1"}

    Returns: 1

  87. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 1275

  88. {"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"}

    Returns: 1625625

  89. {"11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111","11111111111111111111111111111111011111111111111111"}

    Returns: 693600

  90. {"00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000","00000010000000000000100000100100000000000000001000"}

    Returns: 91800

  91. {"00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000","00000101000100000000000000000000000000000001000000"}

    Returns: 38250

  92. {"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"}

    Returns: 1625625

  93. {"00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110","00000000000000000000110010000000010010000100000110"}

    Returns: 73950

  94. {"00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000","00000010100000010000000100000010100000000000000000"}

    Returns: 130050

  95. {"00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000","00000000000000000000000000000000000010000000000000"}

    Returns: 596700

  96. {"01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111","01010000010001000011000000010110001110011000001111"}

    Returns: 5100

  97. {"00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100","00000000100000000000000000000000000000000001100100"}

    Returns: 20400

  98. {"00010000000001000100000000000","00010000000001000100000000000","00010000000001000100000000000","00010000000001000100000000000","00010000000001000100000000000"}

    Returns: 495

  99. {"00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000","00000000000100000000000"}

    Returns: 25410

  100. {"000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010","000000000000001000100010"}

    Returns: 12642

  101. {"0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010","0100100010000100010000000000000000010"}

    Returns: 180

  102. {"00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000","00000000000000000000000000000000000"}

    Returns: 740880

  103. {"1","1","1","1","1","1","1","1","1","1","1","1","1","1","1"}

    Returns: 120

  104. {"0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000","0000"}

    Returns: 2100

  105. {"1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000","1000000000000"}

    Returns: 11352

  106. {"111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011","111101111001101110011"}

    Returns: 3036

  107. {"000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000","000100000000000000"}

    Returns: 20832

  108. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111101111110111111111111111111111111111111", "11011111111111111111110111110111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111011111111111111111111111111110111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111011111111", "11110111111111111111111111111111111111101111111111", "11111111111110111111111111111111111111101111111111", "11111101111111111111111111111011111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111110111110111111111111111111" }

    Returns: 24

  109. {"10", "11" }

    Returns: 1

  110. {"0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110", "0111111111111111111111111111111111111111111111110" }

    Returns: 45

  111. {"11", "11" }

    Returns: 9

  112. {"0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000000000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000", "0000000000000000000000010000000000000000000000000" }

    Returns: 128800

  113. {"11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111" }

    Returns: 1625625

  114. {"000", "011", "011" }

    Returns: 4

  115. {"111", "100", "111" }

    Returns: 2

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This problem was used for: