Statistics

Problem Statement

A caterpillar tree is a tree in which every node is on a central stalk or only one graph edge away from the stalk. The figure below illustrates to the left a caterpillar tree with 14 nodes (the stalk marked in blue), and on the right a non-caterpillar tree with 9 nodes.

Given the description of a tree, determine the least number of nodes that must be removed for the tree to become a caterpillar tree. The tree will be described as a string of 0's and 1's. Starting from some node in the tree, a '1' in the string traverses the tree to a previously unvisited node, while a '0' backtracks to the previous node. The trees in the figure above would be described as "11101011111010010001000100" and "1111100100110000", respectively, if the traversals starts at node 1 and the nodes are visited in the numbered orders.

Create a class CaterpillarTree containing the method fewestRemovals which takes a String[] tree containing the description of the tree (concatenate the elements to get the full description), and returns an int containing the fewest number of nodes that must be removed for the tree to become a caterpillar tree.

Definition

Class:

CaterpillarTree

Method:

fewestRemovals

Parameters:

String[]

Returns:

int

Method signature:

int fewestRemovals(String[] tree)

(be sure your method is public)

Constraints

• tree will contain between 1 and 50 elements, inclusive.
• Each element in tree will only contain the characters '0' and '1'.
• Each element in tree will contain between 1 and 50 characters, inclusive.
• tree will describe a valid tree.

Examples

1. {"11101011111010010001000100"}

   Returns: 0

   This is the leftmost picture above. Since it already is a caterpillar tree, no nodes have to be removed.

2. {"1111100100110000"}

   Returns: 1

   This is the rightmost picture. One of the leaf nodes to the left must be removed for it to become a caterpillar tree.

3. {"1111100000", "1111100000", "1111100000", "1111100000", "1111100000"}

   Returns: 12

   This is a star graph, with one node in the center and five arms containing five nodes each. If we delete four of the five nodes in three of the arms, we end up with a graph that is a caterpillar tree.

4. {"1","0"}

   Returns: 0

5. {"11111111000110100101111100000011100101001101110001","10011000110110100111010011010001101000011101111100","01100011011001010011010101001101010100011110100101","10011000011010100011000110100111001011100110110001","10100000111110011101010011001000110101011000110011","10110100011010101000011111101010010110100010111010","10100111001101000001111110001101011110100011100110","01001001110101001100000111010011000111110001101011","10001000000110011110101000000111110101011000100110","10110111000010011101011010010011100011111001110010","10110000101110110100000111110101001110010010000110","00110101011010000011111101000110011101000100111100","11001001110011010010000001111110111100001101001001","10000110110101011100101000011101110101100011001100","11101010010001100000001111100110101000110110100100","110100001111010011000000"}

   Returns: 337

6. {"11111110010100110101011000111010011011011010000110","10010011100110101010011010000111111010110010011101","10100110011100000110011011010100001111000011111010","00110000100110101110011001010010001111111010101001","11110011000110101000110011110110101000110100101000","00011110010100110101100000111110110010011100110011","01010100011100101100011000111100010111110001110101","00000010011111010011111000111110011000101101001100","00111010101001101010010011110101001011001101000001","10101001111010011001110111001100010010000111101010","00110101110010011100110100000011111111110101000100","00011101010000111101001011000110000000011101100101","11000011110101100100110111100001001101110010100110","00000000011111001100101000111111010110100100111101","01100100001101010010011111001001100011011100110101","10100100100111100101010010111101000100011010100011","10110100110101010011101000011100110100101001111000","11100000000011111111111110101001101000111011001100","10010011101100100110011010010011111010111010010100","01100100111010100101011111000100111011001100100010","11100111010001000011101100110100010011101001101001","01100000001110100000011111000110101100011101100000","11111111100001101001010001011100101100110001100000","11010000000010011111111011001010011111101010011001","10110010011000111110100110101100100011100011101010","01110100010110000111100110011000101101000111101010","10001101010100110010011110110001100101101010000000","11110011010001111101100110101010001100001111000101","11010001000111101001010010110101010011000011110111","00011010100011101101010000100111101101010011101000","01110101010001111110100111010011001000011001111100","00111001001011110101000110011100110101001100000001","10000000111101010010011110101000011010011101010010","11010110001111001101010100111001110100110100011101","00011101001000000011100111111111001100110001111001","10011101001001110011000001101100110010011101001100","11000000000111010000011000000001111111101101010011","01010000011101010011011010100110011000100011111101","00010100001111010101000111111110001101001100011011","01001101011000100110100110001111110100010100100000","00111111110101001110100001101100110101100001101110","01001010000110101010011111001000111110001101001100","00110100011100110100111011001011000111011100011011","00001100000001101011001101000111110100001110010110","00110100000111100111110000110100100110101000110111","1010011000001110101101001001110100110001000000"}

   Returns: 1068

7. {"11110100111100100111100110100110001110101001111000", "1101100000011100110000111001101100010000"}

   Returns: 23

8. {"11111101001011010101010000110101011001010011011001","01010101000111011010101000111111101100100111101100","10110001100110110000101101000111011010101001000001","11010100110110010100110101000111011011001010010011","01010100111010010110010110100110101000101100000011","10110100110101010100011011010100111000110001101010","10011001101010011010101100101000011110101010011011","00110101100100100110101010011100101010100111010101","00011100110101110100010101110100011000110101010010","11101000011010100011010110011001100001111110101001","11001111010010001010110101010101010011010001101010","10101001101100101100101010000111110110011010011010","10110000110101010100001110101010011011010010011010","01001100100111010101010010100111110100110011100101","00111010100110101000110101011001000111010011010001","11101010011101001000000001101010110001110100111010","10010111011001101100100110101001010011010001110101","00110001100111111010100010101101010001100000111010","10101001101010100101010110100001111110101000110011","01000011010101010011010101010011011010100110100101","11010010101000111110101010101001011011010101010011","11001010000110100111001011000110101101010100000011","101010100000"}

   Returns: 501

9. {"11111001110101100011101101010001101110100110011000","00011101100100111111100100110011100100000111000011","10011110100000001110100101111011010001110010100000","11111101101000011010111001010000111111100001010011","11110110011000110111100101001001000000111010100001","11101001011100100011111001001101010010001111111100","00111001010001110100101100010011101001010001110010","00011110011111010110001011110011000100000110111000","00101111111110011100100000011111001100001111100000","00111110001000000000011111111010011101110011010110","00100000111100111000011010100111011110011011001000","01000001111011111111101001111100101101000000101110","10000000111110100110010010011010100111111001100010","11101001101100100110110000000011101000001111111010","00111010000110101101000111010011011001100000111110","00101111001010000001111010001101010001111100001111","10011100001111110000110000001111111100111101010001","11110100110101000011101001000011111001110000100001","10000001111100110010011100110100110000000000001111","01100100111101000111000000111111010001111110011010","10001101001000110100011010001111111101100111100101","00110011100000001101110011010000100011101110110100","10001101010001111100001000000111100100110100111111","11000011110010110000000111010100110000000011111111","11100001110100011000100111111100010000110011101100","11010001101100100001111100110011101001111001001100","01000101111010100000000111111010010001001000111111","00110001111101000110011100110010001110100100011110","10000001111101111000111000110100000111111010001111","00011110011010100100001110110010011011001100011100","10000001111100110100010111110010001100100000000011","11110111110000110000000000"}

   Returns: 719

10. {"11110011001101010010011101100111010010101010010001","11010110001110011110100101101001100011010100011010","100110100000"}

    Returns: 26

11. {"11111010011010001101011001100110001101110010101010","01101010001101010101001111101001000110110100011010","10110001100110101100100001110101001011011001011010","10010011001111101010100111111011001000010000101110","01010110001101101000110101000000"}

    Returns: 76

12. {"11111111001011001000111111010100111100110010100011","00011010101001111000001101011101011011000110001111","11001101010010111101000001101010011011101101000101","10001011010101000000000011111101100110101000011100","11000110001110101000011001101010011101001110100011","01100010001111111001011010000110100111001101010001","11100101001100110000111100101110000111001011010111","01001001000011101101010011010001100100110100011101","01001111001110010011100110001110111000101000010110","10001101101110100010011011100101001011000000011101","10001111110110110100010100110011111001110110010011","01000111001111001000110110000001110100101011010001","10110011100011000000111001100111000011111110001010","01110000010111010101001100111001101001100100011101","00001101010000011111110011101010001000111100101010","01111001111001011000011111010011100101000101000011","10000011010100011111010011100111001101100011100000","11100110100011101001111011001100011010000001100110","01111111000010010111100011000111001010001110110100","11101010001001100110101100001110100111111010100000","11010001111110101011000111011010101000101100110000","11010101100001110110011101110110010100000010001000","00011101011101001111000011000100110101001011011100","11001001010000001111111110101001010110101000011101","00101100011100101010000111010101001101010011100100","11010101000111110100100111110100011110100100111000","10100001111010001011100110110100100011010000011100","11111100111010010000100100111001100110100011101011","01010010011110101001110110100001010000001111111010","01001101001001101101011100000111101010100000111100","11100110011100101011100001000000111111010010110010","01001110001100011100111100111010001010001110111001","01000111110101001101010011010110000001111100110100","01110110011010100100000110100011011110101000110001","10010000111110110011100100011101001101010000110111","00000111110001111010100111001100100010001101110100","10111001010001100011100101000111111010010011101001","11000110000010000011111111010100101110000011010011","10000001111010011110011000111010011000011000011000","01111011010001110100111010100010110001011010001101","11010011001010010110001001111010101001101010100011","11101011001001110010110011101000001101101010100101","10000111001000111111011001001100110001110011101100","001100110000111011101000010000111001101001010000"}

    Returns: 1033

13. {"11111010010111110010011100111001001100011100001110","01110010011110110100101000001110101001101000111101","10011010000000111100110101110100111010101000011011","01000011111111111000010110100100110001110101000100","00111100011110001010011100001110011101000011111101","00101101001000000011101100110110100010011011101010","00110100011101001111010101001111101001010011001110","01011000100011101001111010100010000111001111010110","01100001111000101100000000011111110011001011010001","11101011001001000100111111000111010100111010001001","00110101011010100001110010111100110000110000111010","01111010100011011110000000011111111101011001110100","00110100001101101001100111111000100000011111000110","01000011111011001011000110101001001111110011011000","10100110011000001100011101000011011101101010000111","00111000111000110000011101100100111011000101001011","01111010110000000011111011101011110001110000110001","11010010111010000011010001110011100011010101101000","00011111010011101101100001101100101000110101101100","00110110100111110010000110110011000000111101001100","11001111001110011010001111010001110101000000011011","00101101011000011101001110101001100011010110100111","00110100110010000111101010010011001101010000000001","11110101010011010001110001110011001101010100001110","10100111111001110001100000111111100110110001101000","00011101001110101001010111010100000011111010000111","10100101001101001101000101100011010001101001100000","00"}

    Returns: 621

14. {"11111110110101001110100111001001000001101101001001","11001111010011000111000100110101010010011010110101","01000011110111001001010010001110011010100110001111","11011101010110000110100011111001100110000011110110","00110011001001101110000100111101010100101101001100","00011101001101101001100110001100011010100111111010","10001110011001100011001110011100110011000110000000","01111101111101010110000000111110001001100110101100","10001111111101000001110001101110001010001110011011","00100000111100100001111010100101100010110100111001","01100000000111111101001101000110101010001111101001","10001011010000011010100110001011101010100111110101","01101011000011010110001100111011000110100000011110","01101101010111001000011101110010001010001101010001","11101010100100101110010000111111100011010110111010","10001100110100001110100110001111010010111110001111","00100001000001111010010011111010101100001100001101","11000001111010011010001111001110010100011001110100","01111001000011001111001100011101011001001100100111","10010100000001111111110101001001100110001110100110","10011010010001010110101000011101001110111010001111","00110110001101010000001101100100111011100010000011","011010101000111001101010000000"}

    Returns: 511

15. {"11111111111001101001001111111000001101001110110100","11001000000001111010001101110100010100110110011010","10011000111110110000110000011110001011101100010000","01111100011010001111011011010010011100000011000011","11101011000011010100111100110010000110110010011110","00111101001011001000101110101101011001100011010000","00011111001101110101001101001100011110001100011101","10101100000001111111010011010010111010010100001100","11100101111010100100010011110100010000111000000111","11111111010101001100110011100001100110100111111111","10100011010001111010101001100110101001100010000001","11010011110011010100010111010011010110001100001101","00000011101110110100110100011100011101010100010011","00011100111011100000111010010011010000110110110101","00110001000111100111100110101000011010100110001101","01100011011010111011100100000110110100000011101100","11010011000000011111111100100110011000011110110100","00110110011000001111111011000110110101100000000110","01110010001111011001100110001111101010011101001101","01011000000011111001110110010100001110100110001101","00111101010100110110101010000001110101001011100110","10001101010100000111110010101101000011001101001111","11010011101000011001110010101000110101111100110101","00001100000000000110110011001100001111111010100101","00011101001100011101010011101000101111101000110100","01101101100001110001101000000001110110110100101110","00011111110010110110000011110100011001100100011101","01001010100011111010000110100101101101010010110000","0111001100100000"}

    Returns: 644

16. {"11111100101110011000110011010101010101010010011110","10100100110100110100101011010100110110101000110001","10101010110101101000011110010101010101010011101001","01101001011001100011101001101010100110011010001111","01001100110010011011010000011011101101010011010011","00101101010000111001101001001111110100010011010101","00110100110011010110011001101000001111101010101000","11010101010011010100010011010110011100010101011000","11101001010000111100110101010011001111000110101000","01101001101010011101011010000111101100101011010010","11010100001110100101011010100001101010011010101010","01110100100001110101010011010011010110101001101001","10100100111110010110100011010011101100101001101000","11010101001110011001000111001110011010101010000110","11101000101100110101000111010010110010101010100011","00011101011001010101010011110110100101100101001001","11110101001011101010100001101010100001101010110101","01001100011100111001101001011010101010010110101100","00110101010101001110101010100110001101001100011110","10100011101010100110001101010111001010000111101010","10101100000111011010010101100010011010101000110101","00110101100110011010101010011001101010101001100011","10100101110010010110100100111010011010100111010100","01011010101010011010101001100100111001100101011010","01100110101000011110111010101000110101010101010011","10110011001010110100001101001101000111010101001000","01110100111101001100011010011010100000"}

    Returns: 604

17. {"11111111110001100110100011011100110011010110010000","01100011010011101001100011110011010101011000111011","01001100011110010110001011000111001101000111100101","00001111001010101100011010000111111010001101100010","10100110011110001101001101001100011000111100010110","10011010100000111101101010010011010110000110100110","01111010001100111101010110010000011000001110101010","01111111110101101010011010000111010001110011010100","11001011011010000100110111010011010110001001101100","01100011000011010011101100011010100001110011010111","00010011001101010100111101100010000111111010101001","01100001110101010100111101010100110011010100101101","10010110000000011010111101000000111001101010000110","11110011010101001101010100101101000011101110100110","10101000101101000011100110101001011010001110011010","10011001100110000011101101010100110111110010001110","11110101000000011101001010001110011100000111100110","00111111000110111010001100100100111110010101001110","01100101010011110011010011011000000011111001000000","11101100110010010111000110101100100111010011001101","00001101010101100001110110011001001111001101010011","00000111101010011011001101000111010100001101010100","01111100011110100010110101010011010000001110110011","01100011110010100001101010011001110111010100011000","00011101001110101011100001110100110100101101001000","11001111011010100011110110110001100001110011001100","00110101000111001110100101100110100011001110101000","0000"}

    Returns: 619

18. {"11111001110110000100111101101011000100111111111111","10110001001101011000000111111110010100011001101010","00011111010010110001111001010011011010011010000111","11000011011100101000111011000000011111100111110101","00011101001010011110010100110100000100101101101000","01110111000011111100110000000111001100100010111100","01110101001101010011101001000000111101010011001001","11000111010100111110100011010010011111001001100011","01010000000111011001110111101011000110100000001111","11010001001111101111111110100001101001101010000111","01011100100000011001111001011000000111111110101001","01001100011100000000111100001111101100100100000111","10010100000011111001100010010100000000000011111110","10011010110000011101110100111001000011111010100000","00000111111011111001101011110100000110100001110101","10101000000001110110111101010011111001100011001000","11101101001101000110110010000101110100110111101000","10000000111101010011101010001111001001111010001100","01000001111111010011010100100111001011000110001011","01010001111100010100001111000000011100111110001111","00010110001001101011010001111011101100111100100000","01111100111100110011101010011100110000011010110100","00001101101110000100000011101011100101100001111101","00111111110000011010100001011101010010000111110111","00010001111001101000001101111000110000001110011001","00111110100110100111010100000111101101110000110101","00000110000111111011110110100000100111100100000111","10101001100100111101010011000111111010010111100101","0000011100110000001100000000"}

    Returns: 640

19. {"11111111101001001110100101001100110100011111011010","10010111001010101110000001011001101010000111010101","10010010110101010010001111001010100111010001110010","01111010101001101001101010100111100100000010110101","10101001010011110011011100011000111001101000111101","10000110011000110101000111001110100111001010110010","00101111110110010110011000011110010101010000000000","11110101100101001110001110101110000001111100110110","01010000110101001101001101010101000111011011000110","01011000101110101011000001111001100101011000111010","01101100001110101001101010101001011101001000100111","10101010010011101010011011001011001001101000001111","10101111010011010000111001010001101100101101010100","01101011010100110010011000111101001111101001101010","10000111010100110011010011010101000011110101010010","01111010100101011110101010100001100011111100010101","00110011010001110011010011111101101000000011010101","00001111010101001110011010011001100011011101100111","00000111101001100000001110101010100111101110001101","00001101110010001101010100001100000111001110011011","01001000001111010001110010101010011010011101110000","01001110111001100110010001101010011101010010110101","00110011000001111100101001110100110101100110001011","00011001110010001111110110010110010011010000110111","00010100001111111110001101001110011001100110000111","10110100001110110101100001100100001111001010111010","10100001110100110100110100000011111000110100110010","11011010000011010000111001010100111010011101100111","00100110101001001101010011010100111010000000110111","11100011100101100001100011000001111111110101000111","00011100111010001110011001000110100111000011110101","00010101110001111100001100110100001100110101011100","00111100101011000111111010100110010100010110011101","11000101010000000111010011011001011010001110000111","00111100011001110001100100011101101001110001011000","11010010110110100011101010100110000111100111010100","10010110100100111110101100101000011011111001010100","01101010011011001001111000110110000011110100110011","10010100110101001000110001110110110001111010001010","11000011101011000011110101001100001001111010101001","10110101001100000000011111110001110001100110101010","11000100111111001101001101010001011001101000000111","11001010001111101010100110011010010000111101010110","00011010100001110110111000011000111110100111100010","11010010000111010000111001010101001110011011001000","110111100010110001011100011100101000000000"}

    Returns: 1078

20. {"11011011111000001101000111101010010111110010000011","1001001101010000"}

    Returns: 11

21. {"11111010100110100111001101001010101101001000111010","10011100101010111010000110101010100110100101100100","11110010110110011100010111000110001101101010100110","10110010011010101001110011100011000011101001011001","01010001111010101010101001111001010101101001000110","10001110100101100110011101001010110010001110100110","10001101101100110001101000011110000011111101001101","01010110010100111010101000111001100101001100001111","11100101100110101011001000101110100101100100110100","10001110011010100111010101100101000011101000110101","01010011011000001110100110011010101001001110010110","01011010100110011100110100001111100001110100100011","10100111010101010001101010101001100000111011101001","11001110100011010011100000111010100101101010101100","01001110011010101001101010011000011101010100110100","10100011111010011001110101000011010011101001101010","01101010101001101100110011000101001111001100100110","01101011001001100100110011101010100101101010011011","01001101010011010010001101010101000111010011100110","01110101010100011101010000110110101001100110100101","00110110011010011010011000011110101010101001101110","01100010101101010011010001110101000110110100101111","00100010011010110010101001101011010010110001101010","10101000111011001101000111100111001100011001010010","10110110100110101010010001101101010011010100111111","01010000101000011101010011001010011101000111010100","11101010101010000110101000111110011010101010011000","01101010100111010010101101001000111101010011010100","00011101100101011010010011111000100110101010101001","11011010101000011010001101000001110111010011001110","10110010101011010100001101010100000110110010101011","01001110011001110000011101010100111010100011111001","01101001010001101010110101010011000011101001011010","10101001111010100111010101011000000000"}

    Returns: 780

22. {"11111111100111100110101110001100001011010101000110","01111001110010110001100110100011011100101010000001","11100110101001110011010011011010100110011100000100","11111001011011010011000000111110011101100011101001","00100000111110110000011101100100000101110101001101","00110111001010011101010100110011001101100100011010","00111111110100110110100110100100001111001001101001","11111001010010111001010110100000110000000000111010","10110110000111100111010010101100011110110101001101","01010001100100011101011000001111101010011111110101","11011010000000000011100101000111110001101010011100","00011101001110010000000000"}

    Returns: 233

23. {"11111101001101000011111101011000111111100110110110","01001000111111010110000111110000101101000000000011","11111100011101111010010110100001110000110110110010","00000001111000110000011111100110100100111110111000","10011101010000001110011111101100000011101001011100","11000011000111110010110001100000011101111001101001","10000000111111111011100100000110001110010110110100","11000001110010100111110110101001100001100110000011","11100111111111101001000111111000011011001110000110","10100001101010000111100110011000000000011111011110","10000011001001001111010011010000111111110100010001","11000111110100001110000001111110001111000101001001","01001110001000000000011111111110101001111010100110","10000000011111110011000011001101000000111111101001","10001011101001101000011110010110000011010011101100","11011000011100011010000111010110001110110010011001","00000011111100111110100110100000111111100001100111","00110100100011101110110101000111111010011110100100","00111111001100100001101110000111000011110111001001","11110100011001001000111011001000000000111010000001","11110100110001110111100001110100100001101000110111","10000111001000000111111101000111000011011001111011","01000111100011110001000110100011110100110101000000","00111110011000110110011000111110011111000001000111","01111011001000100110100000000001111100101100011111","00111000110110000000111101110000011100101101100100","01101101111110000011110011000100001100001100000011","11111100011100110001111011011100001100000011111101","11100011110010100101100000001110011101010000111001","10000111111111001100001101100100010010111001101001","10111001101000000000011101101010001101001100000000"}

    Returns: 702

24. {"11111110100100110100110101101010010101001100001101","00110101001110110010001101010010011101010100110011","01011001010100110100100111110001101010101011001010","01101101010001100011010011101001110011010010011010","10101010001111001011110011010101010000110001100110","11000110101010101000111101001101010100011001001111","11000010110101001100111001010010101101010100001101","10010101010001110010110010011110011010101010110100","01101001101010110001101001011110011001010110010001","1000011100111010101010011010101011000000"}

    Returns: 195

25. {"11111011001110001010011001010110110001010011111011","00101011010100101001110100011011001100101010011110","10010000111010110010100111011001100001110010111001","11100001101010001011100111011101001000000111000000","11111001010010011100110100011101010100101101001101","01010001101101001010110001101011011000110010110100","11011011001100010000011111110010101011011010100100","00110101001101001110101001101101001101010100010111","00101100101101100110100010110101000011101011010110","10011000100111111101010011001101010110010011010100","01101010101100000001101010110100101000110101110101","00100111010010101001001111000110101001000011110101","01001101010110010000011111100110100110101010010100","01101001110100101011001010100111010100110011000110","10011010001101101001010110011010001111101010011001","10010110101001101000000111111010101010010111001101","00100011011001100101100011101010011101100100110000","01110101010101001100110101001011010100110011000110","10101000110110011001101010100110001111011100101100","01101010000111101011100010110110010100101101000000","11101111001011010000110100110011101011010011001100","10100111111001001010101010100111010010110000110001","10101001011100110011000011010000111010101011010101","0001010000"}

    Returns: 516

26. {"11111011010011000111011010010101011010001110101010","01001101010011100111001110101010001101001100111010","10001001111000000011101011000111110101010011001011","01001100000111110001110100011001001110100110101010","10010110011010011011010011000111001000011001110011","01010010011010101101001100001111111101010010100011","10100101010110100110001100101101001101001101010001","10101010101001101010011100101101100100101101010010","11010101010100011110101100110001110011100101110010","10010011010100110101010001111011010100100011101000","11010100111010100110100000110101000111011001101101","10011010001011011000111010100100110100110001101001","10101100101010100110101011010010010011010101000111","10011010011001100110100101001111010100111001010101","10000011101100011111011000100011010100110101001101","01010100100110110010110001101010001101010011010101","01000011110101010101001110101010101010011101001010","11001000111101000110001110011001110100001110101001","10101001100110101010100110110000111001101000000001","11111010101010011010011010101010010101101001110011","00110000110100110011110011110010101010100011001100","11010100110010011011011100001110100111001010100101","00011101110010101101001000111001100110100101100001","11101010101001000011010101010100001111101001110010","01010101110000011011010100110100111001100100110100","11010101010100011100110010101010011111010101010110","10001101000011010101010010011010100011111111010101","01010011010001101001110111010101001100110101010100","01100011000110110011001010100111101011000011010101","01010100110101010011010010111000000111010111010110","01010100001111010011100100110101000110111010000011","11011000110100110100110001101100101101001010110100","00111001111001100110011011010010011000011010011010","01011100011101110100110000001101001110110101010101","01001001101001101101000111010101001010101001100100","00011101100101100110001110100110101001101010001110","10011110100010101101001001110001101010101001110010","10101010100111101000010011110011010011010100011001","10101010011101001100101101010010011110010101011010","10001101110101010100000101100011001111010101010011","00100110011011000110100110100110011010001111010101","01010000011101001110011010101010110001100011010101","10011000111010011011010010100110101010101001100100","11111010101001010110011010101010001101001110110111","10110100110010101000011000000011001101011001100101","000000"}

    Returns: 1058

27. {"11111101001100011011001010011010101110100011011010","01100100011101101100010100111010101010001011010011","00000111011110101010000110011111001101010010100110","10100110101111001001101010110000110100000111100110","01001101111101001011010011001101000110101101010000","00001111011001101010011110010110100000110100111101","00100110110010110100001110101000011110110101101001","10001101010011011001001110000001110111000000111001","10101011001001111000111100000111101000101011010101","00110100001110110010100110101001111010000111001111","01000011010110100011110101001011001011000000111100","11011011001010100010011100100110100111011001100111","10100101000100011011111100011010101000110011010100","10000001111100111101101001100100110100110001110110","10010011001101100111010011000110000110010111100100","11010100110011101010001110010110100100001110101001","11110100001110011011000111001010110001101000110101","01011100001101100110110010010011010100011111010011","01010100111100010011010110100110101010011010101000","01100011111100011010100110101010011000111100110010","10100011101001100101100000111010011011010011001101","00100001111100011101010101001111011001101000101101","00001100011100011110010110101000001110010110000011","11000001111001101010011001001101001101010000111110","10110010001110110100001110100110101011000001111011","00110001101001101001101000011101001100111010011010","11001100110000011100110011100011000111010100001111","10010110100110100110101000011010011011101010100100","11010001111011111010000001110010010111101000001111","10100100011001110111000010000010011111101001011100","11100000111110001110011010001101001101010010001110","10100110100111010100000000"}

    Returns: 726

28. {"11111100110101010001111010111001011001001100001101","00111111010101101010000001001101111010011010001101","00110100100001111000101111010010101000110000111111","10100001101111100001000111100110010100100111010100","00011110100110011000111010001110101100100110110100","00011111000110011010001100110000110110011010000111","11101010100110101110001100001111011001111011001010","00110100110110100011011001101010011010000111111001","01001101010100110000000001110101100100111111101000","01101100001101101001011011000011100101101010011010","10100001110010110011000000111111001100011111101100","00110000011101010011001001111011001001100100101000","11111101010011010110100100101001101001111101110111","00011000000110001110110100101000000011011111100101","11010010101100001101100100111111010100001110010100","01001101010000110011101000011101110110010001110100","01101010000111111110100001111110100110001101000111","00101100110101010000011101110001011010001101010000","00111110011010101001100100011111011001100011011010","10000111001011000111101001001000011110100011001010","00000111101010100111001110100011001101000110101001","11001110010100001111001100011101001101100000011111","01010110100011001110011001110000010111001100110001","11110010011010110010001110011100000011101010011100","10101110000110010011111100011101100101100000110101","1100011000011100101000011010110100100000"}

    Returns: 589

29. {"11111111001110110010010010011111001100110100001111","01101010001101000011110000001111101010010111010000","10011101010001001100011111011010011100001111110111","00100000010001111110110100100111110011000111010001","00101001000000011110101100010111000011110011010110","00111111110100001101000111010100100011110110000011","10000001111111111100011100011000111110010000000011","10010001111000001100011011010000001111111101001011","000111001100100000011100100111001101010011000000"}

    Returns: 181

30. {"11110101100101100110010100111111100110010100111100","11001011001101010100011110011001011110001010100001","10101010101000011100101100110101001100100101101010","00011101011001001111011001000111010100110100100100","00110101001101011010010111001010100011011010100100","11101010100110010001110101100011100101100110101000","11101011010101010101010000110111001100110100100011","11010101011010100111010001101001001011101010001101","01010011101001010111001010010010011100101010101000","11111001001100110100110100110101000110100110101001","10011100110101110101000101101010011000110000111011","00110101010011001100110100101000011110101001111010","10100011010100011101010001011101101010010110101010","10100100011101000011101010101010100110011110101011","00100101100011010001101001101010011001001101011110","00011101011001101001110001010011010101011000110110","10100101011001011001001110101001111100101010001100","11001011010100011010001000111010101001110101001010","11100100110011010010011100101011001010101000111010","10011010011010101010100111100010010001111001101110","00110101001111000111010000101011010001101010010101","10001101001111000110010110011010100001111111010101","01010001101110100110001110100101110101010101010010","01101001101010000111111100101000110010110000011110","10011100101001000011010101000110110110100101100111","00010010011100111001011001010100111101010101010100","11011001000011101010101010001101011001100101101000","11011001010110010100110110101000110101000011110010","11001101010010101101001100011001111001100101011011","00011001001011011010010110010101010011011010011001","00110101010101001011010100011110010111001011001001","10101010110010001110100100011110101101000110101100","11001011000110101001101010011000011001111010100101","10100011101001101001100110110101001101001101001011","000001101010101011000000"}

    Returns: 799

31. {"11111010101010111000010101111000110101000110101010","01101000111110011000011010010110111101001110100100","00101101000011111110100011110011010011010010000111","01001000110110101001101010011010101000111001010100","11011101010100111100011001100010101101011000000111","11101010011101010100110110100001110110000110101100","10011000111101001100110010000111101101010011000000","10111110101001010010011101110001101011001011001101","01010001101010011010011010100001101011001101010001","10101000100000"}

    Returns: 186

32. {"11111110100110101001101000111101001101100110010000","11000111011101001001101110100001101000011111101001","10011001100010011010000111111100011101010001010011","10001111101010000001110100001111000111110101001101","00111000110000000001110110011010100100111010101001","00110000"}

    Returns: 96

33. {"11111111110100110101001110100100011111111101101101","10100000111100111100101110000111001010011010100001","11011001110100000110111010100000111111110111101010","00010001110011001100001011000011010011110101000110","10011101111001000100111100111010010100011010000000","00011111110100111010110001111000100110110010001110","10100100011110001001111100110011100110000011101010","01101110000000001111111010011001101000011101001000","11111101100110001110111001101001001110100110000000","01111100100111011111110010100100111001111101000000","00001111001100001110011000001110010110000001111010","01110011111100010100110000110001101000111110110100","11000000011101110011010010001111001101100110100000","00000011111010100111111101011010100010100011111001","01100011111001110001101010000000111011110011010010","01001101100000000001111100001110001100011111110110","00010110001011000010001000011011000000111111101101","00000111111110101100011010010010111101111010100110","10011010001100110000011101100100111110000101100001","11101100100111110010100000000111111101011000001001","11111100110011010110000000101000111110011010100001","11101010011001111110010000110000111101100110101000","11111010011100100010100000110001110011101111100011","00001101010001101010011100110010001111111001010011","00011000000001110011100011110010100000111011110110","00011011000001110100110111111100011101010011010010","00000111101000100011111001001110001101101000000111","10110011110101001000001101000011110011010001011110","11010010000000011111100110110100010011111111101010","01010010000111011000101100011000111110011001111001","00110010001111001000011100110100000011101101000111","11001111010000111001000111101100011101011000001111","11000010001110000110001111110100010100110100011101","01001111100110110100110101000010110000001111100001","11110100100100011111001100110001111011000011110100","00011010001100000000110111101011000101000011111110","00111111011011001001100011100001110011111001100110","10110000011100100000110110100110000011111111001111","01010011100010001110100111010001101000011110010011","11101011000011110100000011101000000011110001000111","01111001000010000111001011000011010000000111011111","00011110111111111001000011000010110000111011110110","01000000000011110100111010011001100011100001111101","01100000111011010110000010011101010000011100001111","01010011100111010001111010011111001100011001001101","10011010000111110101000110111001110011001101000000","11000000000000"}

    Returns: 1075

34. {"11111010100110010111001010101010100111010010101101","00101000111010101101010100110101010011010011010001","11001011001101010100011000011111010011101010110110","10010011010000111010101010110000111001010011010001","11101101001100011011000101110100001111101000110101","00111010001100010010001110011010010101000111010101","01001101101010011010001111011010010011100110101010","01101010101010001110101001100011010011110101001101","11001011010010101011010001110101000000001101001101","10101010011010100110001111010101000100110111010011","01010001110011001101010010011000011111001100101100","11101010010101001001100011101001100011110110010101","01011000110101001001100110001101100101100101001110","100110101010011010011010010000"}

    Returns: 287

35. {"111100001101010101010100111100001101010101010100"}

    Returns: 6

36. {"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","00000000000000000000000000000000000000000000000000","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: 0

37. {"10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010","10101010101010101010101010101010101010101010101010"}

    Returns: 0

38. {"11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100","11001100110011001100110011001100110011001100110011","00110011001100110011001100110011001100110011001100"}

    Returns: 623

39. {"11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001110","00111000111000111000111000111000111000111000111000","11100011100011100011100011100011100011100011100011","10001110001110001110001110001110001110001110001100"}

    Returns: 829

40. {"11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001111","00001111000011110000111100001111000011110000111100","00111100001111000011110000111100001111000011110000","11110000111100001111000011110000111100001111000011","11000011110000111100001111000011110000111100001100"}

    Returns: 931

41. {"11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000","11111000001111100000111110000011111000001111100000"}

    Returns: 992

42. {"11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000","11111111110000000000111111111100000000001111111111","00000000001111111111000000000011111111110000000000"}

    Returns: 1107

43. {"11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000","11111111111111111111111110000000000000000000000000"}

    Returns: 1152

44. {"11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000","11111111111111111111111111111111111111111111111111","00000000000000000000000000000000000000000000000000"}

    Returns: 1127

45. {"11111111011000111101001100110011010001110011001000","01110110100101110101000011110100011101001010100110","10100110110001110101101000001111001100111010110010","10011010011001011000110101001101000110101000011101","01000111100011001011001101000111101010101001101100","11010101001101100100110001110010101010000011101110","01001111001011000110100100111010000001111101101001","10000111110100101110000100110011100111010001100000","11110100110001011110110001010110011101100011000000","11111110011101001100010111100111000110010001000010","00011111001001111110101001101010100101101010001111","00010110010010011110011010011110100100001011110101","01101100010010011010011100011011010100011101001011","10100011010000111010100110011100101101011001010011","11101010101001000001100111010011010011000011100001","11101001001101010011101010101000111001100011101001","10000111111100110100011010100001101011001010011010","01110011100000111110100110011010010110001101000000","00011100111011001001010110011010000111111110101010","01011100101001100111101010001100110000011011100100","11010100111100000011111100011100110101010011010011","01001111011010001110111001000011010110001111001110","00100011101010000111110100000001101111000110101100","01101010100101101000110101000001110100110000111001","11101010100101001101101110101000010110100001111011","10101100101000110101110010001110000011100101101000","11010101001101001111000110100101010001101101010010","00111111101001111111000100000110101010000011110010","00111010110100110100001011011000011101010100110100","11011101010101000111110101011000110110010011100111","00011010000000111010011100110110001100110101001001","10101010011011100000000111110100110101000110110010","11001000111011000101011000101111001110001110010100","11011011000101010011100000011111010011010010011010","01111100110100011011011010100010100110000001111100","10101001101111010000111010000111001011001101000111","01001110001100110001101011001000111110001001111100","10101001101010011110100101101010011000011101010010","10010011111001010011100110110001101011100000000011","01101101010101001110011010100110011101000100100110","10101001110101001110011010011000100110110101010100","11101001100100110011000001110100111010010110100110","01111001011001001000111010011001100111100110010000","11011100111000111010000110100100110110101101010011","0101001100011010011000000000"}

    Returns: 1043

46. {"11111111110011100110001001111100110001111010000110","11001001000011110101001110101111101001101101001011","00011010100000000011111010001100010111100110100001","10100011111101000101100010010110000111010110100011","01011100010011110101110010011000011100111100101100","10010010110101000000110100111111110100110000011010","00111101101010100011000111010010110100000011110110","01101001001010110101010001111111001000110100110101","10011011000011110100000011100110000111110101000111","00100110110001111111010010111010011010010110100011","01010000000011010100110100000001110101101010001110","11000111000011111000111011001100001111100100111010","01110100001110011001010000111110011001100100101000","01111110010110101011000100011100101010001111000111","10011100100101000111011011000110001111011101100110","01001101011101000010011010010010111111010101001100","01110100101100100000000111101101001001011111100000","00111100110100011111101110100110101001011100001101","01101001100000001100010110101000111011011000110110","00000011110101101100100011111110101001010011000110","10011010001111001011010010011010100110101001000001","11001100110001111100011111001101000100011101110100","01101000001110101000110110110100100110001101011100","00001111010100101010011111101000101001111000110100","11101101000000011110110001101000000011111101010110","00111001010011110101010011000110100110000111110111","11000001101000110100111011000110101001110001000111","10100110001110100001110010100011000011100011110011","10011011001010010011101100110001100111101100101000","11001001101000001111111010100111000011000111011010","11100000010110100001111110101000000111101010100011","00110000000111111110011101000101001111101001100001","10001110000111101110001001001111010101001001111001","10011001000010011010000111001100101101010100001110","10011110100110100001101100101000111110111100101000","11010100001111001100111001011001000001001111110011","01010000110110011001100001111100111010101001100100","10111111100110010000011100011010000000011110110010","10011111100010101001111101110010101000110001101110","01010110001000110011110101000110010000011110010100","100111101010010000111101001101101010000000"}

    Returns: 950

47. {"11111111110011110101101010000010000111010100111001","10010011000111010110100011010100110000111111101111","10010011110100101000010001111101010001011110000000","00000111111011111010010011111100011011000001000100","01100000111110010011000111111101000111011000001111","01100010110101100001101101000010001111010001100001","10111110010011110011100000100111100110001101111000","00111100011100000000001111111100011010001110111001","10100100000011010100110101111000000111110010100111","00100010111011000000111111110011111110011010010000","00001111101011010001111100100100010000011101010001","10100001111110011101110001000000111011110100101000","00011111001001001111101011000111100000110100110000","11111111101110001101000001101010001111111011011010","01001110100111000000000110000011110101000111100110","00111001101100110001101000111110100000001110100110","10011110000001111110101101100000111011110100001110","01000100111011001000000111000000011111111100100111","11100110100001100011111100101110000111111010011010","01110110100111100110101001001110011100100000001110","11110100000000111100111001101000110000000011000011","11111111111001100111001101000001101101010000111111","10110001010011010010001101000111001011000000011101","00110110100000111011011001100000111100100101111001","01101000110100000000001111111001100111101001110100","11010000001101100110100001111111000111010011110011","01000011000000000100011111011001111001100011001000","01101010000011110110011011110100001100000110001111","10011100101100001111111100110100100110110100110100","00000111100100111001011000111010011101110010100000","00111111100100101110100110110010000101101101010011","10101001010000111101100100011100110001000000011111","11111000011101100110001101000000111010011101000110","00010011111111000101100011111110111101110100001001","11001101110010000000001000000111111110100100101001","11100111100011101010011000000111001101000000011101","0110001101100100111101101001001100000000"}

    Returns: 845

48. {"11111111100111101101011000011100100001101001100001","11100100110100001111100011011001001110010110101000","00001111010110011000111101111001010001101001110000","00110100111111001111011001100000000101111110100011","00010000011111111010101101000110011011010010100110","11001101000000011111101000110010011101001100110011","00010110101101100000111001011000001111111000110110","01000111001100101001101100110000011111010011010001","11001011000011011101000110010011010110000011110100","11001101000111011111000011000101000110100001101110","00110010001111101100011110010001110100101011000010","11010110011000110100011111010100101101010100110000","10011111111110010100001110011011001000110110110010","10011011010111010000011011000011000111010011100110","10111010010101100011101011000000111010100001110100","000111100010000001111001100101001011010011100000"}

    Returns: 348

49. {"11111111101001111001011010011101000110000110110011","10011000001111010011100111100111001110011010011000","10110101010100011010111100100011001101000011010101","00111001010100011011101000110101010011010101011000","10011110101110100010011110010000001110110010011101","01001101001011011000100111101001110010110001101010","00111010100011010101001101010100110110100000111010","10010111001110011000101100100111100001100011111010","11001011000101101000110111001010010001110110101100","01100100110100111010100110101000110001101101001100","00001110111001110010010011101101100101000011000111","10010110001110101010010110100100110001110111010010","11011010100101100001011110010110010110001100000111","10011110100001100010110010011100111100110100001000","11010110011000111110100011111110100010110110100000","11101100101000100110101001011010001110110100110011","01011001000110101101001111000100001111011001100110","10001011100101111101011001001110110001110010110001","10110010011100000000011101001100100111011110011010","01001001110010100111010001110010111010100100001101","10000000001111110011100010100011001110100110101001","00111010101010011010011010101000110110010110010001","01110011101000110101001110101000111001010101000111","01110011001011100101010001011010000001110110010011","10110011001011010100001110100110101001101110101010","11000000011110100101001110010101001101100011110101","00011111110100110100110101001101100100000110101001","11101001011000001101001101010100111101000100110001","11110011010100101100011010110000110011101010100101","10100110011110100000011100110110010110010011110101","00110100011100100111001100100110011000001111001110","01100010011010011111110100101010001101010011100101","00110010000111101101010000110101010000011111011011","10011101001010111010010111100110100000001100001000","11010011110101001101010011101010010101000111010101","00110101101011000100110101010011010101000110101100","10100011111010010100110110010101001100011101100110","00100011111010100110010110011000111110101001101001","11110101001100011010100100011010101001000111011001","11010010011000001111001011010100110001100111011001","0100101010011000000000"}

    Returns: 945

50. {"11111001110100001101100011010100110110010100100111","10110001110101100101001101011010010110001101001101","01101000011011100101011001001111000110101010100110","11000101001101010100011110101100100111100101010011","10100110011001001110100100001110101001001111001101","01001101010110100001100011001110011100111001001101","01001101000111000000011111101110010011010110101010","00010110101010011101100101010001110000110111001011","01010010100111010101001101000111101000000110101001","11110100010111001100101000110101010110110000111101","01001100100101000110101010100011101110001010100111","01001100110011101010010001110011010101001011000011","11111011101000111000111001010101101000110100011010","10000000011101010011110010011001011010010010110101","00011111111110101001100110101100110000011101010011","00011010011010001110100110100111000111001100101100","01100001110110100011010001111100111010101010011010","00011010101001110010110000100110111100011001011001","00001110011111110000111010101000110101001000011110","01011001100110001111101001111011001000010011010011","00000000111100111001101010100111011101000010110011","00011010001111010100111101001011010011010100001110","01010101000111101010011011000110010011101001111000","11100110010101000000111011000110101010100100011110","11010100111011000110000011011010110010011001100011","11010011010011010011000110110101010011000011110100","11100011010001101011001111101010001000110111001000","01110100110001101010000011110101001101001110010110","01011010001101000111010101010011001110010101001101","01001101000100111111010011101001010101001101010001","10011100011010011010110000111101010011010010101000","11101101001111000001101101001100110010010111110010","11001101010000011010110010100011110100110001101010","1010001110100111110011010000000000"}

    Returns: 786

51. {"11111010100101011010100110011000111111101001011101","01010011001101010101010010011110010110010100110011","00011010101010100000011110101010101010001110010101","10100011110001101010011010011001101100001100111001","00110101100110101001000110101000011111010010110110","10011000110101011000111010101010000011010100110100","11011010100111101000110001001101001111100100110011","01001011101101000110000111010101010001110100110011","01001101001101000111001110101010100101001000011100","11011001010011011110011010101010011001100110001100","11010001001100011110101001001110101011001100100111","01101000110110101010100100110101000011010011100110","11010101010001100110101010100011011010111001000110","10101001100110100100110101010101001001111110110101","01000110110110100110001100101101100110001110011000","11000111010011001101010101000110110101010010101010","01110010110110010100011010101011001110101010001000","11010101001111010100011010101010000000"}

    Returns: 392

52. {"11110101010001110101010011010101010110001110101001","10110001101001101001001111010110001011101000100001","10111011001100000100"}

    Returns: 35

53. {"11111100110011010010101001110101010011100101000111","01010000011100010110111101001011001101010010100011","01010010110101001101101010011010000111101001110101","01100011001011001100110101000110100111010011111001","10000011001011001101000110101101010101001011001100","0000"}

    Returns: 88

54. {"11111010010110100110001110110001111001110010101101","00011100110100001111100011001000111001101010011101","00011100100000011111111111100001101010001110011001","00001111100111001100011000111111001110110001000111","00111101101001101001101000011001101000111011001100","11010001011000011011010011010010001111101100100111","00101100000001110011101000000001111001110001100100","01111011010011111001000111001101000111101101000110","01000111101100010100001110101001000011111100111011","00101000011110100110001110101001011010101001100001","01111110000011110100100011010010000000000111111110","010101001101010100110011100000001101010100110000"}

    Returns: 248

55. {"11100111101111100111010100011000111011010101001101","01001001110100101101001011010100001101010000110110","10100110011010011010100101001110011010101001101000","01110101101010100011010100111101001011100101001100","11010100001101010101010100011111001101010001110001","10011100011100010110100111000011010100110101010110","00110100011101110101010011011010101010101001100001","01110101010011101010101000101001110101100001110100","10101010101010011101010000111101000101010110011010","01011010100001111100101101010100101011010101000111","01001101010110100101001100011011001101011000101100","01101101010101010011101001100011010001101010011110","10110011001000101000111100101011001100101001110110","01010100110101010011000001111010110101001011010011","11010101001110001101000000111001100110100101110011","00100011010101001110001101010011101001101001100101","01101001110100010011101010110011010010101101010001","11011001100110010101011000010111010101001101001001","11001100110100011010101000111001010101010000111010","11001010011111010101010101010011010101010100100001","10101100111001001110101001100101101001001101010100","01110100110100111101010101000011010101000110101001","11010100111001011010100011101010101010011100110101","01010010100100110011110010110011101000011101010100","11110011010011001011000001101011010010101011001001","00110101101100100101011010011001101000011010100110","00011101110100011011001010110001100111100110010101","00001110011010101001101001101010101000111010110101","01010001101010101010100111010100011110101100110001","00110101010100011100110010101101001010011001101010","10001101100110100101101001001111011010101010110011","10100100110000110110101001110100101010110001101010","10101001110011101001011010010001100110001101010101","01001110101010011010010100111011100010110011001001","10110010110100110101000110011101001101010101001110","10001101000111001100101100110001110100110100110010","11001001101101001101001101010101010001110011010100","00111001011011001010101001101010101010100110000011","010000"}

    Returns: 885

56. {"11110011110010101001101010010011101010001011101000","01110101001101001011011000110100011011111001000100","1000"}

    Returns: 26

57. {"11111111010110010100110100110100110001110101001100","11000111001100111010100110100101110101000001011010","01101011001010101001101001110100110101001010101000","11111001100101100101010011110101100010101111001100","11001100101100010011010101001101000111010011110001","10001010111010000110110011010101011000110110100000","01111110010010110100101011010011010011010100011010","01101010101010011010110011001010010001111111010010","11010101011001010100110100111011001100110011001100","11010000111100100011010100001111111010100010101010","10011100101110101010001101010100110100001110011011","01001011010100110100010100011110011001001110101101","01001010101011010000001110101001101010101010010101","10110100100110100110001100111101001010110011001100","01110011000111010100110101010010011010100110001110","01000011101010101001111010100110110000111010100110","10110010101010100110001101010100111101010011101010","10101010011010010011000011101010100110101010010110","01101000111011010001010110001101010001110101101010","01101011001110001011010110011000100111010101010010","10011110101010100011000110111000110010110001001100","01101001110101011001100011101100101100110100100110","00101110101001101001101010100001101010100111010011","01101001000011101010101010011010101001011010101001","10100111001010010110101000000101101101001100110101","01010100110101100101010100110101010100011010100111","11000101101010011010001101010100111001100101100101","10100110100011100110101100110010101010010111010011","10101010001010110101010101010100110101001001111101","0011001011001100101100000001110100100000"}

    Returns: 677

58. {"11111001101010101001010011110011010001100011100111","01001011001010101001101001001110110101001101010100","11011000001111110011010101001101010010001101100010","11010100111011010011000000011110010101101010001101","00110010011111011010010011100110100110100101001110","01101010001110011010100101100011011001010110001110","01010100110110011010100000111101001100110011010101","00101010011010010100111110111001001100101001110001","10100110101010100011101001011101000011100110110101","00110011100100101100110001110001110101011100110101","00011101010100000100110001111001100110100101110000","11101010001110010101001110101001011010100011000001","11011110001011001011001010011100110011011000110011","01010101000111001110010101100101011010000101101010","00111110011101001001010101100011010101011000111001","11001101101000011101001100110000111001101001100101","10100100110011010101000011110010011100011000110101","01010111000100111111100101010110010010110011101010","01110101000011001101010110010001101010011110101010","10011000111010101100101100100100111010101010100011","00011101010100111101010100110110101001001011010100","11101010011010100000111010011010011100100110000000","11111101010011101001011001100101101001100010111011","01000110101001000110101101010100110101010011010100","11110010001101101001100001101101101001010101000011","10010101010110101010000110011011011010011000111010","10011011010000110101010101100010110110010000011111","00110011111001100101010001101000110011010001111001","10011001110100100110100110001101010011010101010101","00110101001101011001010001101101010101010100101101","01010101010011010010011110101001100111001011001010","11000001110110001101010011001110011110001000011100","110101001011000000"}

    Returns: 751

59. {"11110110101101000001111111100011100101110010000111","10001111001101100011000011111010001011011010110110","00010001110011001101000111111001110010000110101001","11010100110000000011111110101000101101000010000111","11111101010010100011001101110101110000011100101100","00011011011001111000001111100111001011010000011011","00100111111001100100000001111110011111011001001100","00111100000100011010001111000111011101100000001111","11010010000000111010011111010011110110101000000011","11110001101001000011111101000001100110100001100000","0000"}

    Returns: 202

60. {"11111001101010011001011010100101100011101001110101","00110101010011010011010001110010110101001010110101","01001101001100001111010101001100110011000111111001","01011010010110010110000100101101011001001101110100","11001110000110101100110100011010101010011001110011","11110100101010100011001101000111001100100110100011","10101010100011011010100110000110100011101010001111","11101010100110100101100110011100101001001101010111","01000101000111100110100011100110001101010101000001","10001110101001110100011001101010100110100110101010","10011010000111101010100110101001101001101010101001","10110100101010101100001101001111010100100000111110","01101011000110101011001011000100011110011010010110","01010011111101010101100100011101010100111100110000","10110100110011101010100010100011010101010100011111","10010101011001100001100110110001101011000111001101","01010100110100111001000101000111010101010100110100","00111101010111001100010110100011010101100101001110","10100011010101010011101000110011010100111000011101","10100000111011010011111010110000111100100101101001","11000101101010100101000011001110100110110010101010","01110010110010110010101001011101000101101000110011","11001001100101010110010000111101001010110011001100","01111011001100110110100010101010011011010011001010","11010101010010010111011001001100101101010010011010","01110001001110010111010101010001101001101010011010","00000111010011010011100101100110100011001101010101","01010001101001101011001011010001101010010000"}

    Returns: 621

61. {"11111001111010010101101001100001101010100111011001","01011000111000001110001111001101011000110010001001","11110011010100111010101000011111001111011001000110","00011011010110010100111101010101001101001011100101","01000011111111010100101101001011100000001100111110","00000111111010010011010010101001110011001100100110","10100000111011010100111100101001101010101000100000","11111111010001101010011100101001101001100001101111","01010100111001011010011001101000001110100101110010","01100010111010110010100100011000111111010101000110","01001111100101010010101000000011110101110010001111","10010101100111001011000011001011100100111001010110","00011101010011011001100100101111101100111101010010","00110110101001001110000100000101111001010101001100","11010101001101010000000111110101001010100011110101","10100110000110001101001111011001001110101001101001","10010100111001100011010011000111011010001110101001","11011001010100110101011010000001110101001110011000","11100110010101000011111101101010011000111001001111","00100100110101010110111010000000000111111101010011","01110101110100000100101101001000011111010011001101","01010100111101001011010000011010100111011101100101","01100000000111010010101100100111001101001001111010","01101011001010000000011111101000111001000111010101","01001101000110011010111010010001111001101100001011","10010101010000111111111010100111010011001110010101","10001011010001111001110001011101000110100011110000","11111000110010011010100011101110101000111100111000","11010011001000001000001101010000001111101100110100","11001101010100011110100111010110001100100110010110","10100011010011000110111110101001101000111000110100","01111100101011000001111001101001011010001110010000","11100110101100100110100110101000011101001100001110","10010110101001001111101010100111111010100110101000","10111010100000011110110111101100010001001100110101","00110101101010011000000111010010110111001001100110","00101100001011101010100011101010110010000111101000","11010101001100001110101000001111110101001010100011","01100101010010111110101001110011100010001101100100","00011101010110011000111110010101101101000110001110","01101010100101011010001110100011011000001111111001","01110110010100100011100111011100110010011001100001","11101011010000000110110011001010011110000110100111","11011100001100110101010000000001110010101000111100","11101101001011000001100000"}

    Returns: 1039

62. {"11111011010010011100110011010100101111010010010110","00100110101001111010101001100011011110000100011101","01001011010011011010101101001001100011010101000011","11110010111001101011001011010001011101100110010100","11101010101000111101001100101011000000011101011001","10101010100110011000110101110010110011001010001100","11010100000111010101001100111101010011010001100111","01000110001101010101100010110111001010100101011010","00011101001111001100101011001000111100110100101101","01100100101100001100111001101010100110000111010101","01001110111001101001011001001011000011010010110101","01010011000111100110100111001101001011010001101000","11101110101010110000111001011000110011011101100110","00101100110101010110001011000110100110110101010011","00011110011011001110100110100011100101000001101010","00110101101001000011011010010000111010011101011010","10100011101010010011000111010110110011100100011000","01110011010110010001101100110000111110101001101100","10100101110101001100101010011100111101011000000110","10101010100011100111001100110101010001101011000101","10000001111010100101010110100100111101001101010100","11010110100111001000011010101100011010101100011010","01101000111011101000110011100100011110101010100101","01100110100110000110101001111001100101101001011110","11000101010010001101010011101010101010011110110010","00110000111110011010010110001100111010101001100101","10100010111001001100011010000011101111010100111100","11010001011010100110101000111001101001010011011100","01101000111010101001100000110101001111101010011010","00100110101100101010011010001101010011101101001100","10101001011011110000110101001011000101101010011010","00011110010101101001111010001010101001100011111010","10000110101110101000111011001100100011010101000000","01111011001001110100111101001011100011000001100111","010101010011001101010011001011101100000000"}

    Returns: 802

63. {"11111101010011101001010110101001100010100110111100","10110000111100101010110100111000010110101011001110","01001001101100111101010100010001101010100110101011","00100001111010011100000110001111110010100111101101","10010101110000111011010011101100100100101101000101","10101001111010100110100011010010010100000111110001","10011011000110100011101100011101010010110010100110","00011110101001101101010101010001110010110000111010","10100101100100110110010110011010101011000110101100","00111111010001000111101001101010010001110110011001","10000111101100110100110100110101000000001111011010","10010100110101001101100101001110011010100110101001","01101010001001110011001101001101100100110110100110","01011010101000100111010111010110011001010011010110","10110001101000011011001100110011010011011010000110","10101010000100011110100111101010101000001111010001","11010011010110100110100100111001100010011101001101","10001010011000111000000111111111100010001110011010","11001001100101001100111110011010110011101000010010","11100110100101101001101000001111101010100110001110","10010110100110110011010000110100110110100111010010","00100000011110011010110100110001010111000111011011","01010010010110101001000011100110001110010111100101","01101001100100001111010001110101000110101010001111","11000110101010100110100011011001010100011001110001","11101010010101100000011110101001101010100110100110","00111010100110101001001111010100001110011010100110","01100011101010100110101010000111101001101010110000","11001101010011101010011010101010011101001101010001","11010011010101010100101101010000111100111010000110","11110101001000110111010100001011101001011100101101","00000001111011010100110100100101111101010101000110","0000100000"}

    Returns: 741

64. {"11110011100111100101010101011010000011101010110101","01001100100110101010000111011001010101001101010101","01001110110101010001100110101001101001011010100100","10011001110010100110110101001011000110101010100111","101011001010100101101100100010110000"}

    Returns: 78

65. {"11110101010110100011100101001110101011010011001001","11011001110100100101100101100011001010110101010011","00110110011000001110000111101010101001100110101010","01101000110101001110101100101100110101000110101100","10101010011010101011000100111010101001011001011010","01010110001101010110010101010001101101100011010101","00101100011101011001010101010011010100111101000101","10011101000100011110100110101010101010011101010011","10011100101101010100100001110100111001001011101010","01010011010101000011100111010101010100011101010010","10011001011110101010011010101011000001110101010011","01101000110101010000111100110101001100110110110000","01101010101010011101101010110011000011101010101011","01000110101010101011000111011001010110100110011000","11001101010011100110010100110101010101100110100001","10011000011101101010100110101010110100100011100101","00111010010101101011000010110110110101010010010110","01101010011001001110100110101010001101000111010100","11100111010010110001010110100011000011110110110100","10110101001010100110110101010100111001110010011010","00011100101011001101010011000011110001110101100101","10011000010010111010101110100110101001100010110110","01000011110100010111010100110001101010100100111100","10101101000101101010101010100111001100100110101010","01100110101010011101001000111010100110110010101101","01010011101010000011010100000111101010100110011110","10111000101011001101010011010001111101011001010001","11001101000001101010011010011101010011011000111010","01000011101010011010110010101100000111010011101010","00110101010101001111010110011000110110100011001110","01100100101101001101000110110101010100001110110100","11010100100111101001101000110101010011001011101010","10001010100111101001011010101010101000110101010100","11001101100100111010101010101010001011010001111100","11101010110011010011001000110101010011000001110111","01010100110101000110110000000001111101010100110101","01100110010010110011001010011101001101010011011001","10101010011010100111010001110100100111001010101010","11001000110011101100101100101011010001101010010110","10100001101010110101001101010101010011010001110111","00010101110010010011101111100001011010010011100011","10011010001011010011010101010011010101000011101011","00110101010100001110101001011010100110101001011010","0101100011010101100101000000"}

    Returns: 1019

66. {"11111101100101101000111110100001110100111001010011","01010011000110010111010011001011001000111110101101","01001101010000111010100011101010011011001100110000","11110101000011110101000101010110100001111011100011","00101100001110100110010011110100011001101000001111","10110101010001110011010100110001001100101100011111","01101001100100111010000000111110101001011010001011","00110001111010101101010001110010111000110000010101","10100001111111111110001100011000101100110001111010","10010000011010101001101010011111110011000111100011","01001101010000110100001101010000000111110101001100","11010010110001101000011101010100111010001110101010","01110100011010101000001101111001000110001111110011","01010011010010001111111000001110101101100011010010","01100110101000011000111110111111001000000011011010","10001110110011010101011000110100001111010101001101","01000001101100100000111110011001100011110011010101","01100010111100110100101100010001101100100111010100","11000110110101001100001111010011001110100010011010","10011011000001111100101001111100010100010111010101","01001110100011111010011000001101011101000001110111","11001011010000110101000100111011010011100010011011","01000110100111010100000011100011101010100101101010","00011111010010110101001100110100011101100110010100","11100101001110100001001110110011101000110011000111","00101010110001111010101001001000111011001010001110","01011100110000111011010101010001110011001100100111","01011001000111010101000100000111110011100100111000","10011101010011010100111011010011000011100110100011","00011111111010100110010101001110001101100011010000","00111010101100100000111101111000110101010000101101","01010011010101000111010101001101010100110100100011","01100000"}

    Returns: 749

67. {"11101110010101010011110101001111010010101011000111","00101010000111101011001010011001100000101101110010","11010100011101101001010011001110000001111100111011","10100010011110100111010000110110100010001101001100","11100101010001111010100100101101101010100011101100","01101011010100110001010000111010001111111000110010","10011010100110011001001110000111110110001001100101","10000110110011001001101010001111001011010100011101","00011110101101101010001011000101000001111100101011","01111010010101101100101000010011010101011000011111","00101001111111010010100111000000110110101001100111","00111010000110100000011111100110100010110011100110","10010011101100110101001100100001111110101001001101","01010000111001100100111111111011000111011010100100","00110110110100011010001011010101001101010100011100","11111010110010100000111100111100101011010100011101","00011101010100110001111111010001001000010001110011","00111100111010101000010000011011001010110100000001","11101010011010100011101100001111001010110100010110","10000000011100101110100110001101110100010110100000","01111110100110001101000111110001001010100110101100","01111101001011100101001101001001110000110000111100","01110101001101011010100110100100010110011110101100","10011000001110110100101010011111000100111001001101","10000011110010101110010011000111110100111100011011","01010001101000001101010011110010110101001011101000","01110100110101010100011001100011110011010010111101","10100011010011010011100101010000000111110101001001","00110011100110010100111010010100111010011010100000","11100000"}

    Returns: 657

68. {"11111010101001101010011011000110100111100110011010","10101010100101010011001001100011101001100110010110","11001010101100010110011000111101001001101010010110","01101001111010001000111010100110011010010101001111","11100101010101010100011010100110101001101010110101","00011101010101001110010011010100101001101100000011","10101001110110010011000011011010100001111110100111","01010100111101000101001100011101010101001110000111","00110010101010101001110010101011001100101001101101","00110101010001011010001110101001110101000110010101","01010011101001011001110001100101101010100011101010","01101010100110101001100110011011001010011101000111","11001111000001110100101101010101000100001110011011","01010001110010110011001101010100101000111001010101","00111101010010011101001100101010101001110011001011","00010110101010100110101010010001111100110101100101","10010100110101010010100101101000111101100101100110","10001011101011001101001101000110101010101001011010","10100011000111011110100110101010001011000110100101","11001100101101001011000111000001101010100001101110","00110000111101011000110101001101010101000111100110","01011000110100101101001110101000110101001100110101","01010101000111101010101001100011010100111010100110","01010011011001010101010100110110011010000110011001","10110100101001111110011000101101010000101101001101","10001101010011100000111001111101000111001110101000","01101000110110100110101010010101010011010101010110","10100110011000110110010111000001110101010011010011","01010001111100110101001101010101001110101010100011","01010101010100100000011110110101001011001101001001","10101010100011101010110010100111010011010011001010","01110101000011100110101001101100101011010010100110","10100111001111010001101010110101010000110000111001","01011010010110101001000111010101001110101010101010","01100001110100111101101010001110100110001110100111","01000110011010101010011001101001011010100011010100","11010101010001110010001111011011000011011000110001","11010100101011101010010110011000101100011101000111","00111010101001011001100000111101010010111111011001","01001101010010100111010010111010010100110010110101","01001001101010011010101010010111001001110101001111","01010011100010001110011100110101010001101000001101","01010101000000111101001101010101001101001110100100","10111101000001111010001111010001011010100001110010","11001100101101000000"}

    Returns: 1040

69. {"11110101100110001110011101010100010110110100110101","00101010011100111010011001011011010000111110001101","10100110001000111110100100000111111000110101010010","11010010110101010100000011110101001100100001111010","10101001101011010010110100110001100111101001101001","11100101010101010001101010001101101010011010101001","10000111010110101010100111001011000110101010101001","11101010001100101010100011101010011011001010110010","00110101000011111011010101010100110101001100111010","10101001010110001010001101010011101001110011010101","10010101100000111010011010011010100110100110010110","00111001110100011010100101010011011001011100000011","01110100110011101010001110011001101010100100111001","10100110001101001001111000101011001011010011000111","01011011000100111010101010011010010110011100101100","01001110100110011001100010001110110010110101000101","01110110001011010101010011100101100101011010001110","10100110011000111001010110000111010101011001010011","10011001100101100011000110101010011101010101010100","11010000111101100101100000011110100110101100011001","01101001110011110100111001001000110100111110111000","10110101010011100011001000111001001101010101000000","11110110010011000011101101010101001100111010001001","10101010101001110101000011010101010100111010101010","11010101001001111010100010110101010100110010101100","00111110011010010101001101010100110100110011010101","01001100110100000111101101001010101011011001010001","10101010001110100110100110010000"}

    Returns: 625

70. {"11111100101010010011111001110110110000111010100001","10001111011001010000011111011101100100000110110011","10110100000111110001011000001111011000100111011001","11011000011011110010100000000001111101101110110010","01011010100011101011001001110001101011001100000111","11110111010100001111000101000011010010001110011001","00011111010101100001101011101110001000010011100111","00101010001110100110001110101101001110000000111111","11111011001010010101000011101010100011101011000111","01100101001111000110100000011110101010001110101000","10111100101010011011001110001001110110111000001111","10111001100001101001000001101000011100111101110100","01010001111001111100100001100110001101001101000110","01110011001110100010000000111001100110101000000011","11101101101010011110110101000011000110001110011101","00101010000111101100111011111100001110001010011111","10000101011000011000000111100101101001001111001000","11100011110110010000000011111000101001110011000011","11110110101001100111100110010000111111111101010011","00001110011010100110010001101010110101000001101010","01111001100011001110011000001100011111010001110101","01100011000110010001100011111101000100011101001111","00001000011101001100111001101010011001110100000000","0000"}

    Returns: 512

71. {"11111111110101011000110100110101100110000110100011","11110011100111001000111010110101000000111100111000","10011101000011110011101000011110100111001010100011","10010101000110100011110100111110001110011010011010","11000110100011110101001111101010011100000110011010","10000001111001100011001011000001110010101110011001","00000000000111111001000111001110010100110011010100","00111101001111000011010110010001011111110100111010","10001010011100111010010101001111000110101001000011","10010110110100111100000011101001110111010000111010","11011001000000011101001011011100110101000011110100","11000001101001110101001011101001110010110100011000","00100001111111111010010110100110000110100000011010","00111010011001101010100011100101001101110110011001","10101000110110010100011101010011010100000111110011","01010011101001101001000111110011000110010011010001","11110011010010001101010000111110110100110101011000","01111011001001100101101000001100111100010111110011","00100000011111101000110001111001110011001100011110","10011101001000000011110010101100011101011001001100","01110110010011010000001101110101100110000111111111","00000111110110101001110100011101010000110111001011","00100101000000011010100111101000100011101000111001","01100100111110101010011001100011010011000111100110","0100110010000000"}

    Returns: 542

72. {"11110110010101010011110101010100111011101000111001","01010001101010101010101001111000110010110001101010","01101100110101010100001110100010110100110111001010","01011011001100100110100100111101001101000110001111","10100110100100110010011010100110111010101000011010","01110011010011010101010010110101000111010100110110","01101010011101010100000111001100100001110011100010","10110010011111001011010010110100110010011111010110","01011010010110100000111010111011001011000010011010","10101110100010011010011010000110101001110110101010","10101001110000110011010101101001000111011010100101","10101001001100110101001101010101010100110011010101","01000101110011110000101100110010110011000110100000","11101110100110001101010011001100111001110000110100","11000101111010101001110101010001010111000110101010","01101010101000100101101101010100110011011001101001","01010110001111010000110000110100011011101001100110","01011001101010110010011010011010001111011001101001","10001110101010000011101010011010101110001101010101","00011010010001110101010101010100111111011010101001","01011010001101011010100101011000101101011010100110","10101010100110101010100101110010010011011011001100","01100110001110101101010101000111100110100110001011","00011001100011100110011011010010100110001101110001","01101100101000011011100101100110010101100010110100","01111010100101010100110110100010110011010001101110","10011001110100001101001101010011110010101011010011","00000011101010101010101001101011001000011101010101","00111100001101010100111101010101011001011000110101","00101011010101000011101010100110101010010110011010","01101000111010101010011110011010011000110011000000","01111010101001101100101100110010100101110110010110","10011010010001110101010101010010110010101100100011","10101001101001111010101010100110101010101001101101","01010011000001110101001011100101100110010001101100","11001101010011010101001110100010011000111111010001","10001111010101001100101100010111010010001111111011","01011000101100101101001010001101110100110001100111","00101001011010100110101010101000000011110110100010","01101101010001011000000111111010010111000101101001","01100100111100101010100110101010101001101100101101","00110100110101000110011101001010110010001111001101","01010101010001011010011100011000111001011001100101","10001111010100110100100111010011010100110001101010","01011010101010100110110000110101011001010110000011","01010101101010010101001101101010010111000110100100","11010101010001111001110100111001110101000110100110","01100110001010110101001100110001111010101001100001","100111010100110011101001000000"}

    Returns: 1143

73. {"11110101010011101010001111100101001010101011001001","10100110011000011110101001101010101001100110100101","10110011010001101010101010001111010100110001011001","10011100110101001100001111011110001100001101110011","00101100100111010010001110011010110010100111001101","01010000100111001010101010001110101010110010010011","10100110100001111001101100101100101010001101001101","00111010010101100100111101000110101000111001001100","0100"}

    Returns: 159

74. {"11110100110010110101001001111110100011110100100011","01110001101100010101001110010011010010011100110011","01010100101100011001100010111010011111010100100101","11000011100101000100110001111100110011010010111101","01001100001101000011111101010011011001001101101100","01101000100111010101100011000011111010011010100110","11001001101100011010000110100111100100001110100110","10100101000111010010110101100100110100110001111111","10010101100111001000111010100110101000011110101010","01011000101110100110101001000000011110101001111101","01000011101001100110011010101010100100011110100100","11000000110111010010010110100011101100100110011001","11010100011101010011100100000111110110010110011000","11010011010100111010101000111011010011101010010100","10000111111010011100101010011001100110010010110111","00101101010010100000111101010100101100110010001110","11110001101000110101100110011010001101011001010001","11001110010100001110101001100111001001001100111001","00001111100110101001011100110101000101001110100011","11011000110010101001100111001100001101101001011000","00111110100011010011010101010100110101001101001110","01011010011010101010011010101000001111111110001010","10101000111000101010110100010110101000011100110110","10010110011010100011110011001101010101001110001101","10010100000001111100110101001110111001000101010100","11001101100100011101010101001101010101001110100011","01010101001101010101001100010111010101001010101011","00011110100101010100111010011001011010011010001101","01010000111100111101000110010100010111001101100111","01000100111110010100001110100110011010101000111010","10101100100011000110101100101100001111001100101010","10011011001101100001111101010100010110001110001100","01111110001100111000110101000110101010001110101001","10010010111011010100110100111101001100100001101100","11010101001001110101000110000011110100100011110111","00111001100101110100010100011111000011101001011001","01100100110011101001100100111100100111000001110100","11100010110110010100011110011101001101001101010101","00111001100110011001000011101000111001100101100100","11110101000110101010000001101010011010100111011010","10101010011010110100110011010100110101000110101010","00111010011010101010011010011001101001101010101010","00010011110100110111000100111010101001100101101010","10100011011101101010000001111101010101000111111011","00110100110100101000000101011000011010100111011010","01001100110101100101011000011100110011010101010100","11101100100011010010000111010011010100110100110101","0011011010010000"}

    Returns: 1116

75. {"11110011010101010100110010101001110100110100100110","10011010101001110011010100110101001000"}

    Returns: 19

76. {"11110111101001010011110010111101100001000011100101","00110100011101100101100100110101010100110100001111","00100111010110001110101101001010010101100001111100","10011110001111000100110110110011101010010001101100","10110100011101010000111101010100100111001100010011","00011110011010100000000111001101001101000110110011","01000111011110100101010110000110101001111101100000","00110111101001010101001101100110011000101101100011","10011010100001111011010100000011110101011001110010","11000000011111001101100011110010011010010010011111","01010101001101001110110100110010100000110100111010","10101001000110101011000111111001101010010011001101","00111101000110000001110110010110001111110100011010","01101001011011000011010100100011010000110011100111","10010100110010100011011001111001010001001111010100","11010001110011111110001101000000110011101010011101","00101011010011000011010001100000"}

    Returns: 359

77. {"11110110101011010100100110101001110101010101010011","10011110010101100110010110000111010101001101001010","11101010010001110101001010111001010100001110101000","11011010010011100110010110101010010001101010100011","11101010101010100011101010100010111010101001010011","00110011001101010101010110010001111100011100111010","10011001001001010110100110000111010010101110101000","11010100001111010101010011101010001101011011010100","11110000101011010010000111001011101101010001100101","00110011001100101100011010101010100110101000111100","10110101010011001101101001101001100000111111010010","11010101010101100110100010111101010100111000101100","00001111001001011100011101010001110001100111001011","01010100101011000111010101000001110110101001011101","10010010011010101010101001001111010011010101001101","01010101000001111100110101011001101010101001100011","00110100110110010011010100001101011001100110110011","01001010110101010010001111101010101010100110101010","01001110101010101001110010101001101010010110101001","10010011001101000111010011001101010011001101010101","00101110010001110101010100101110100001101011001010","10100001011011010010110100110010110000111111011010","10101001101001101011100010101010011001101001101101","00110101001010001110100111000101100110010110110001","00001111010100001111110101010011001100100001110100","11001101001001110101001101010011011101000101100011","01001110010010011101010101100011111001101010100000","11010101100110100110011000111110001001010110100011","10011010011010011010100011101001010100011100110101","00110110011100011010101010010010110100011101010100","11010101010101001101011001010110010100101101011001","01100011000011110101010011001011101101001010001010","10111010101010100110100001110010100101110010101011","00011010011010101010100011010101010101000111010101","01010011100110101010100101011001011011010000110101","01010001110110001111001100110000110110100110011111","01000011010101001100111010100001101010101010011101","01001101101010010001110001110000111010110011100011","00110110010101000111011010101010001101010011001110","10110101001100000011001111001001110110001100011100","10011100001111010011010010110011001101010101001001","10101010101000000111101010101010011010100111010101","00110010011100100110101001110100100011110101100010","11010100101101000111010101101001100011101010101001","10100001100110011011100110010110011001001100110011","00110101010001110010110101000110101010100111010101","01010101001110011101000110101100101010010110100011","01010101000000"}

    Returns: 1116

78. {"11111010101001111010011111010100011000100011110101","01001100110001110001110001101000011101010011000011","10101001111001001111100010101001111100011000001100","11010100011011100110001110011010010100110100011111","01001110110010000000011111011110000110100011010100","00111110110010100111111100110001000101110011000111","01010000011111000110010011110001111000100111000011","01001111101010011001110001000000011111010111001000","00111101000011011010000111101100110100000111010100","00111101000110100111001011011100101001110010101000","11101001110000000111011101001010011101010011110111","11001110000000011010100011010011010100011111001111","11000000111010110000000011111111100101101101100001","11011001010011001100001111101011010100100000111010","00111001110101000110011010000000111110100011100101","10001000111101010001100111111100100011101100010011","10010101100000111110011100100101000111100111010010","10001101110010110010011000010110110011000011010100","11111001100001101001000111010110110101000100001110","11000101111011010000010000011111111010100111011010","01101010001001101001111000100010011101010110001000","11101110100011011001010001011100101100001111100110","10101100001111100100110100110011100000111101000001","10111001101000011000111111001110110010010000011111","10101010001101100001111100110101000000110011100110","10010110000001111010100101111010100011111000111110","01000101100000011110101000110101001111100011010100","10110101101001000011100101101000000011110011001110","00111010101100000110110001111001011001000111110010","10001110001100001110101010011100110101010001111111","10010100101110001101000000011010100011110100111101","00000000"}

    Returns: 719

79. {"11111101010100110110010111010011010100001101010011","11001001101000110110011010101000001111110011100100","10100111000110110010010101101011010011001101001000","01110101001100111100011001110001001010110101010100","01110001111100110011100001011101010001100110101010","00001110101001110010110011100110100100011101001100","01100110110100110000111110100111100011010100011001","11001110101010101001110100110100010000111110101001","11010101010100110101101000000111111010101010100101","01100011100110101100101000001111100101001100110101","01010010001110011011101001011010010000001110100110","10100110100110100001111111011100101010101101010100","01011010000110110100101010100110101010001110010010","00111010110101001011010011100110011001101001000111","01110101010100100011010000111110110001100011110100","11001100001110100111101100011110010010101010100011","10101010100010001111100011110010011001100001111010","100110101010101001000011010010000000"}

    Returns: 391

80. {"11111111001010010101011010001101010100110101010011","10100111100101011010000110010011100001111111010110","00110001100110100101100100110101001101010101011001","00110011010100111010011010011010011001101000110100","00111001011100011011001011001100110001101010010100","01110110011001101001100011111001010011110101001101","00101100110101010011001001101010110010100111001011","00100011101010011010100110100101000011101001111001","01010100010100111001011011001001011011000101001110","01101001100110101001011000111011001011010001110101","01001101010100110011010101010100110110010000111011","01001101101100010001101100110010110100110100100111","10110010011010000111011001001001101100110010000111","10111010011010100111010100101100010011101001011000","11010000011100110010110010011111010010110100110100","11010101000110100110100110001110011110100100110011","01010101000101011010100100011011010011100110100011","10011010010110011010010110101000110110110010010111","001001110101010100000000"}

    Returns: 407

81. {"11111101010011110100010110011010001101001001111010","01011011001101001101001001110101111010000110000011","01101010010000111010100111110111100110100011010110","00011100111001000110100011101100110101010011100101","00000110101001110101010000111110100110010011010100","11101001101010011000001111100101101100110001101001","11010101000000011110001011001101000011101001101001","10011110010110000111010011101010000011101001000111","11101001110100111101100011010011010010110001100011","10100111010000111001101100011010011010011010000110","10101011010000111111010011010101010001110001101101","00011000111001100110100011100111011001010100110101","00001110101010011001100110101001101000011111010011","10101001001110011001100110011000111101010011001011","00000011010100111001101010100110011010011010000011","10111010010011000111110110010110101100101001111011","00001100100001001101010100101101000111101110010110","10101000110100100111100110010010111011001010011000","11000011100110101101001101010100100110100001110110","10010011110101110010010011111011100101010100011010","01000011110101000011010101001101000000111111111101","00110011010001111011001101010010110000111010100011","01001110110101010000111010111000100101110101001101","00110001111001101100101001100001110100110011101010","00110000001110011100011010101001101010101000110011","01110001101001110101001000111010110011010010011101","00101010000000000111111101101001010100111001111000","11101010000011110110011010010100110101010100110101","01000111010100111101110100110101100101000011101001","00111100011110101000010000001101011010011100011011","01001000011111001100110101000110110010110000111011","10100011000111100110001111011010010000110110100100","11000111101010101001100111011010100110100000110100","01101110101001110100110000110110011010100111010010","10101001101000111111001101000001110010011011001001","10100100000001110111001001111110010110001101000011","01010100101111000011010110101010011100100000110110","10001110010101101010000011111100110101010110000110","10000101110100101101000111010011010000011101001111","01010100101000110001111010011010101010011110001011","10000110110010101000111010101001100111110101001001","00011111100101100101100000011010101010001111010100","11010110010011010101001111001011000111001101001010","11100000001111001011001001110010110101000110100011","11101010101001110111000100011101010100001101100101","00110011101100010100111101001101001101001001100111","11101000001010011110100011101010100101100110000000","0000"}

    Returns: 1108

82. {"11111101111100110010110000111001010011001001111001","10100011111010101110000001101101001000011111101001","10001011000111001001110011000100000011111111111010","10100011010111110101000000111100110010011100110100","11010000111111100001110010101001000001111100111001","01010001100001111010101100001011111010011001101010","10011100000111010010101000010011110101001100110101","00011001111010001101100010010000011111110001100101","10100011010011010001110101001011110011000101101001","11110100010011001101000011000011111011011001001001","11001011001101000111110111101001100001101011001100","01000000111110000111100001100011011001011010000111","10101001010011010011011010010010011011001111010101","00010000111101010011001101000111111110110100011010","10011100101100110001101100110011101001000011011100","00111001100101100011101100100001100111001001100000","11111110111010100011110001101011001100011010111100","00110001000000110101001111100110001100010111101010","01110010111000011010011100110011000000000111100110","01100100000000111111111001001110100011100111111100","01101010000111010010110000010011010110000111110100","01111000001101110011101011010011010001000110000111","01010011100111000110010010000111101110100111111001","10001101001101010010001011010110011000100110111001","01001110101000111010011001110010011100110100000011","11110110001101101011001001100110100000111011001100","01101001101101000000111011101000101100000110110100","11111100111011001100000000000011011001110000111110","10100111000011110111000111001010110000110100111110","00000111010000111111110110000110001101000111110000","00110101001111101001101100000011100001101010000111","10101101100100001111100110011101000001111010010100","11000111001100101100011011010100001111110100001101","01001110010100011101010011011000101101000011010101","00011111101011100111100000011110100001101110100011","00111100000011110111100011001101001100011001001111","10011101100100111101100110101000110100000011101001","10000001101101000110101000011111101101010100011001","10010000001000011111110100011111010100001101010011","11101000111110010110010000110100100001111010010011","01100011010101001110101000011111011010001111000000","00011111011101010001001000111001101101010000111110","00110001011000111011010100110001011011100100000111","0101111100101100011001100000000000"}

    Returns: 1019

83. {"11101001110101100110010110001101001110011001010101","00111001101010011001110100010001111110110011001101","01010000101010110010011010100011101010010001111010","01111100100010101001101010011010011010100111101010","10100000111110010011010110010101001011010101001101","01100100011011001101001100001110101010011010110010","11000011110100111011010011010101001110010100110101","00001100110101010011101001000001111100110100110101","01010110000110100111110101010101011000001011010001","11011010101000111001110101001110100101000010110101","11010100010000111110101001011010100110101010001101","10010110010101001101010101000110101010110100011110","10010110110010100110011110010101010110000110000110","10101000011110010110100101001101101001010111010011","00101010011010011000110011110100110011000111011101","01010011010100001011010011100101100101011000001101","10101010100110101001100111001011010100011000110101","0101011001100000"}

    Returns: 385

84. {"11111010100011111110100110000111011100100110100011","00001111011100011000000111001110011110101100010000","0000"}

    Returns: 26

85. { "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", "00000000000000000000000000000000000000000000000000", "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: 0

86. { "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111101001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "0010010010010010010010010010010010010010010010"}

    Returns: 0

87. { "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111110100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "0010010010010010010010010010010010010010010010"}

    Returns: 0

88. { "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111111111111111111111111111111", "11111111111111111111111110100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "10010010010010010010010010010010010010010010010010", "01001001001001001001001001001001001001001001001001", "00100100100100100100100100100100100100100100100100", "100100100100100100100100100100100100100100100100"}

    Returns: 0

89. {"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", "00000000000000000000000000000000000000000000000000", "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: 0

90. {"11111111110000000000", "11111111110000000000", "11010101010101010101010101010101010101010100", "11010101010101010101010101010101010101010100" }

    Returns: 18

91. {"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", "00000000000000000000000000000000000000000000000000", "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: 0

92. {"11111111110000000000", "11111111110000000000", "11010101010101010101010101010101010101010100", "11010101010101010101010101010101010101010100" }

    Returns: 18