TopCoder Statistics - Problem Statement

Problem Statement

You are given an undirected graph G on n vertices, labeled 0 through n-1. Find any undirected graph H on those n vertices such that such that for all pairs of vertices u != v, the distance between u and v in G is different from the distance between u and v in H.

More precisely, you are given the adjacency matrix of G in the String[] g: g[i][j] is '1' if there is an edge between vertices i and j, and it is '0' otherwise. Return the adjacency matrix of your H in the same format. It can be shown that there is always a solution. If there are multiple answers, you may return any of them.

Definition

Class:: ChangeDistances
Method:: findGraph
Parameters:: String[]
Returns:: String[]
Method signature:: String[] findGraph(String[] g)
(be sure your method is public)

Notes

The distance between two vertices in a graph is the smallest number of edges one needs to traverse in order to get from one of them to the other. If there is no path between the two vertices, the distance is considered to be infinity.
The returned String[] must be symmetric according to the main diagonal, and it must have '0's on the main diagonal.

Constraints

n will be between 1 and 50 elements, inclusive.
g will have exactly n elements.
Each element of g will have exactly n characters.
Each character of each element of g will be either '0' or '1'.
For all u and v, g[u][v] = g[v][u].
For all u, g[u][u] = 0.

Examples

{"011","100","100"}

Returns: {"000", "001", "010" }

The graph G contains the edges 0-1 and 0-2. Thus, distG(0,1) = distG(0,2) = 1, and distG(1,2) = 2. The graph H that corresponds to the return value shown above contains only the edge 1-2. Thus, distH(0,1) = distH(0,2) = infinity and distH(1,2) = 1.
{"000","000","000"}

Returns: {"011", "100", "100" }

The given graph G consists of three isolated vertices. All distances are infinite. The return value describes the graph H that contains edges 0-1 and 0-2. In this graph all distances are finite, and therefore different from the corresponding distances in G.
{"0100","1000","0001","0010"}

Returns: {"0011", "0010", "1100", "1000" }
{"0100","1010","0101","0010"}

Returns: {"0011", "0001", "1000", "1100" }
{"0"}

Returns: {"0" }
{"01","10"}

Returns: {"00", "00" }
{"00","00"}

Returns: {"01", "10" }
{"0100100001", "1011001000", "0101101101", "0110011101", "1010000001", "0001001011", "0111010000", "0011000001", "0000010000", "1011110100"}

Returns: {"0011011110", "0000110111", "1000010010", "1000100010", "0101011110", "1110100100", "1000100111", "1100111010", "1111101101", "0100001010" }
{"01111111111111111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110"}

Returns: {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }
{"01111111111111111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011101111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111011101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110"}

Returns: {"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }
{"01111111111111111111111111111111111111111101111111", "10111111111111111111111111101111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111110111111111111111111101111111111111111", "11110111111111111011111111111111111111111111101111", "11111011111111011111111101111111111111111111111111", "11111101111111111111111111111110111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111011111111111101111111111111111", "11111111101111111111111110111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111011111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11101111111110111111111111111111111111111101111111", "11111011111111011111111111111111111111111111111111", "11111111111111101111111111011111111111111111111111", "11111111111111110111111111111111111111111111111111", "11110111111011111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111011111111111011111011111111111111111011111", "11111111111111111111101111111111111111111110111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111011111111111111111101111111111111111111111111", "11111111101111111111111110111111111111011111111111", "11111111111111101111011111011111111111111111111111", "10111111111111111111111111101111111111111111111111", "11111111111111111111111111110111011111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111011111111111", "11111101111111111111111111111110111111111111111111", "11111111111111111111111111110111011111111111111111", "11101111011111111111111111111111100111111111111111", "11111111111111111111111111111111100111111111011111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111110111", "11111111111111111111111110111101111111011011111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111011011111111", "01111111111110111111111111111111111111111101111111", "11111111111111111111101111111111111111111110111111", "11111111111111111111011111111111110111111111011111", "11110111111111111111111111111111111111111111101111", "11111111111111111111111111111111111110111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110"}

Returns: {"00000000000000000000000000000000000000000010000000", "00000000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000001000000000000000000010000000000000000", "00000000000000000100000000000000000000000000010000", "00000000000000100000000010000000000000000000000000", "00000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000100000000000010000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00010000000000000000000000000000000000000010000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000", "00000000000000000000000000000000000000000000000000", "00001000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000100000000000000000100000000000000000100000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000010000000000000000000000000000100000000000", "00000000000000010000100000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000100000000000", "00000010000000000000000000000000000000000000000000", "00000000000000000000000000001000000000000000000000", "00010000100000000000000000000000001000000000000000", "00000000000000000000000000000000010000000000100000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000", "00000000000000000000000001000010000000000100000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000100000000000", "10000000000001000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000", "00000000000000000000100000000000001000000000000000", "00001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000" }
{"01111111111111011111101111111111111111101101111011", "10111101111111111111111111111111111111111111111011", "11011111111111111111101111111111110101111111111111", "11101011111111111111111111101111111111111111111101", "11110101111111111111011111110111111111111111011111", "11101001011111111110111111111111111011111011111110", "10110001111111111111111111011111011111111111111011", "11111110101111100111111111111111101111100111111111", "11111011011111111101111110110101111111111111001110", "11111110100111101111111111111011101111110111011011", "11111111100110111111111110111110111011011111111111", "11111111111011110111011111111111111111011110111111", "11111111111101101011111111111111110111111111111111", "11111111110110111011111111101111111011111111111111", "01111111111111011111010111111011111111111111111111", "11111110101101101000111111111101111011011111111111", "11111110111011110010111111010111111101111011010111", "11111111111100100001111111111111111111111111111111", "11111111011111101001011110011111011111111111111111", "11111011111111100110111011111011111111111001111111", "11110111111011011101011111111111111110111111111111", "01011111111111111111101111100111110111111111111111", "11111111111111011111110111100111110111111011111111", "11111111111111111110111010011111111011111101111111", "11111111111111111111111101111111110111111111111110", "11111111010111111101111010111110111111111111101111", "11111101111111110101111011011110111111111111111111", "11101111111110111111100111101111111111110101011111", "11110111011111110111100111110111111111111111101111", "11111111101111011110111111111011110111011111100011", "11111111011111101111111111111101111111111111101111", "11111111110111111111111110011110101011111111111111", "11111101111111111101111111111111011111111110100111", "11111110101111111111111111111110101011111111111111", "11011111111101111111100101111011110111111111111111", "11111011110110101111111011111110101011111111111011", "11011111111111110111111111111111111101111111111111", "11111111111111111111011111111111111110111110111010", "11111111110011101111111111111011111111010011111111", "01111110111111111111111111111111111111101111111110", "11111110101111111111111111101111111111010110011111", "11111011111111110110110111111111111111011011111111", "01111111111111111110111011101111111111111101011110", "11111111111011111111111111111111011110110110111111", "11110111001111110111111111101111111111110101011111", "11111111011111111111111110110001011111111111101111", "11111111111111110111111111111011011111111111110101", "00111101101111111111111111111011111010111111111011", "11101111111111111111111111111111111111111111110101", "11111011011111111111111101111111111110101101111110"}

Returns: {"00000000000000100000010000000000000000010010000100", "00000010000000000000000000000000000000000000000100", "00000000000000000000010000000000001010000000000000", "00000100000000000000000000010000000000000000000010", "00000010000000000000100000001000000000000000100000", "00010010100000000001000000000000000100000100000001", "01001100000000000000000000100000100000000000000100", "00000000010000011000000000000000010000011000000000", "00000100000000000010000001001010000000000000110001", "00000001001000010000000000000100010000001000100100", "00000000010001000000000001000001000100100000000000", "00000000000000001000100000000000000000100001000000", "00000000000000010100000000000000001000000000000000", "00000000001000000100000000010000000100000000000000", "10000000000000000000101000000100000000000000000000", "00000001010010000111000000000010000100100000000000", "00000001000100000101000000101000000010000100101000", "00000000000011011010000000000000000000000000000000", "00000000100000010100100001100000100000000000000000", "00000100000000011000000100000100000000000110000000", "00001000000100100010000000000000000001000000000000", "10100000000000000000000000011000001000000000000000", "00000000000000100000000000011000001000000100000000", "00000000000000000001000001100000000100000010000000", "00000000000000000000000000000000001000000000000001", "00000000101000000010000100000001000000000000010000", "00000010000000001010000100000001000000000000000000", "00010000000001000000011000000000000000001010100000", "00001000100000001000011000000000000000000000010000", "00000000010000100001000000000000001000100000011100", "00000000100000010000000000000000000000000000010000", "00000000001000000000000001100000010100000000000000", "00000010000000000010000000000000000000000001011000", "00000001010000000000000000000001000100000000000000", "00100000000010000000011010000100000000000000000000", "00000100001001010000000100000001010000000000000100", "00100000000000001000000000000000000000000000000000", "00000000000000000000100000000000000000000001000101", "00000000001100010000000000000100000000001100000000", "10000001000000000000000000000000000000000000000001", "00000001010000000000000000010000000000100001100000", "00000100000000001001001000000000000000100000000000", "10000000000000000001000100010000000000000000100001", "00000000000100000000000000000000100001001000000000", "00001000110000001000000000010000000000001010000000", "00000000100000000000000001001110100000000000000000", "00000000000000001000000000000100100000000000000010", "11000010010000000000000000000100000101000000000000", "00010000000000000000000000000000000000000000001000", "00000100100000000000000010000000000001010010000000" }
{"01111100001011010101110110000000100100010010001110", "10101101111010110011111000000100100111101101010001", "11000101011001101001111110010001011110000111100100", "10001101100011001111110000100110101111101010101011", "11010101110000111100011001111001111100011110110100", "11111011111101100111111101010000000111111100101111", "00000100111111011101001111011110111100101101001011", "01111100001101110100001100100101100111101111101001", "01011110011100011010100111100010111111111110011111", "01101110100111101111001110100010111110011101101111", "11100111100010010011101101111110001110111011000011", "00000111110001101100111000001111111011010010110000", "11010010011001011010111010101001101101011111100110", "10110111010110001011011110111011111010110111001111", "01101101010100011101101100001101111111101110101110", "11001011101010101010011100001011000111101110010111", "00111010110111110110101000001100100011111111011101", "10011111010100101011010111111010111101101101101000", "01010100111011011101101110100011101010111101010100", "11110110011001100110011111011110110111111000110011", "11110100101110101010000111010011110110110101001101", "11111100000111010101000001001011011111111111101101", "01101111011111111011000111000011111000110011011110", "10100111111001110111101011111111111111001110111001", "10100010110011000111101101111100001010111111100111", "00001110101000000101111110010101010111100111111010", "00011001111011000110000110011011001110111011000100", "00101110001001000101100111100111111000100101000110", "00001010001111111101010110100011000001110011101111", "01010011001100101001000111010010111001011101110011", "00010010111101010111111100111101100111001100111110", "00101001000111110010111101111010100111110110111010", "11011011110111101111101100010111011111111001111111", "00101010110101100101111101010100101101111111010110", "00111010111111100110011110110100110100000110111001", "11111111111010110101110101100011111011110111000101", "01110101111101111011110111100011100101001001101011", "01010101100110111101010101001111110110000111000111", "01010111101001111111111011111001110100011011010101", "10001100111111001011111010101101110100100011100001", "01011111111010111111010110100110110010100111111011", "01101111110011111110110111010111011101001000011011", "10111001101111111000011111101001011101111000111110", "01100011011011001110111011111100110111111000110110", "00111101010110100101010111001111101010011011010110", "01001000100100011011001101000111111000101111101110", "10010111110001101100111101001011101010001110010101", "10101100110011111010111010111010110101100011111010", "10010110111011110001001011011111110011001111110101", "01010111111001011001110110001100101111111100001010"}

Returns: {"00000011110100101010001001111111011011101101110001", "00010010000101001100000111111011011000010010101110", "00011010100110010110000001101110100001111000011011", "01100010011100110000001111011001010000010101010100", "00100010001111000011100110000110000011100001001011", "00000000000010011000000010101111111000000011010000", "11111001000000100010110000100001000011010010110100", "10000010110010001011110011011010011000010000010110", "10100001000011100101011000011101000000000001100000", "10010001001000010000110001011101000001100010010000", "00011000010101101100010010000001110001000100111100", "11111000001010010011000111110000000100101101001111", "00101101100100100101000101010110010010100000011001", "01001000101000110100100001000100000101001000110000", "10010010101011000010010011110010000000010001010001", "00110100010101000101100011110100111000010001101000", "11000101001000000001010111110011011100000000100010", "01100000101011010000101000000101000010010010010111", "10101011000100100000010001011100010101000010101011", "00001001100110011000100000100001001000000111001100", "00001011010001010101011000101100001001001010110010", "00000011111000101010101110110100100000000000010010", "10010000100000000100110000111100000111001100100001", "01011000000110001000010000000000000000110001000110", "01011101001100111000010000000011110101000000011000", "11110001010111111010000000101010101000011000000101", "11100110000100111001111001000100110001000100111011", "11010001110110111010011000001000000111011010111001", "11110101110000000010101001010100111110001100010000", "10101100110011010110111000101001000110100010001100", "11101101000010101000000011000000011000110011000001", "11010110111000001101000010000100011000001001000101", "00100100001000010000010011101000000000000110000000", "11010101001010011010000010101011000010000000101001", "11000101000000011001100001001011000011111001000110", "00000000000101001010001010011100000000001000111010", "10001010000010000100001000011100011000110110010100", "10101010011001000010101010110000001000111000111000", "10101000010110000000000100000110001011000100101010", "01110011000000110100000101010010001011001100011110", "10100000000101000000101001011001001101010000000100", "10010000001100000001001000101000100010110011100100", "01000110010000000111100000010110100010000101000001", "10011100100100110001000100000011001000000110001001", "11000010101001011010101000110000010101100100001001", "10110111011011100100110010111000000111010000000001", "01101000001110010011000010110100010101110001100010", "01010011001100000101000101000101001010011100000001", "01101001000100001110110100100000001100110000001000", "10101000000110100110001001110011010000000011110100" }
{"00000000000001100000010000000001000001000111000010", "00001100000100010000001000100000000010100000000010", "00000000000001000000000000000111110000011011001000", "00000100110000000010000000001001000000000001000000", "01000000010000000100100000100000000011000100000100", "01010010000100000010000000001100100010000100001000", "00000100001001010000000010001000000000100000010010", "00000000000000000000101010010111000000000000100000", "00010000000000000001000011100000001000010000000000", "00011000000001000000000010000000100100000000000000", "00000010000100000001010000110110000000100000100000", "01000100001001000001101011010010000001000010110011", "00000000000000000100100000010100000000000000101000", "10100010010100011000000000101000010000010010000100", "10000000000000011000001000000100000100000000010001", "01000010000001100000010000000000001000000000010010", "00000000000001100001000001001000001100010000000101", "00001000000010000000000000000000000010000000001000", "00010100000000000000000010001100000000000000000010", "00000000101100001000011010000100001101000010000001", "00001001000110000000000011000000011000000001000001", "10000000001000010001000010000000000000000000100110", "01000001000100100001000000000000000010000010000000", "00000000000000000000000000010000000000100000010010", "00000011110100000011110001000000000001000000001010", "00000000100100001000100010100000001000001000001000", "01001000101001000000000001000000000000000100100000", "00000001001110000000000100000010010010010000000000", "00010110000001001010000000000000000100001010000001", "00100101001010100011000000000000000001010010000100", "00100001001100000000000000010001000100000100000000", "10110001000000000000000000000010010000101000001100", "00100100010000000000000000000000000000001001001001", "00100000000001000000100000010001000100000100000000", "00000000100000011001100001000000000001000000100100", "00000000010000101001000000001010010010000000000000", "01001100000000000100001000010000000100000000100000", "10001000000100000001000010000100001000000000001000", "01000010001000000000000100000001000000000000000100", "00100000100001001000000000010100000000000000000001", "00100000000000000000000001001001100000000000011100", "10001100000000000000000000100010010000000000000001", "10100000000101000001001000001100000000000000101100", "10110000000000000000100000000000100000000000010000", "00000001001110000000010000100000001010000010000011", "00000010000100110000000100000000000000001001000000", "00100100000010000100000011000001100001001010000000", "00001000000001001000010000000101001000101010000000", "11000010000100010010010110000000000000000000100000", "00000000000100101001100000001000100000010100100000"}

Returns: {"01111111111110011111101111111110111110111000111101", "10110011111011101111110111011111111101011111111101", "11011111111110111111111111111000001111100100110111", "11101011001111111101111111110110111111111110111111", "10110111101111111011011111011111111100111011111011", "10101001111011111101111111110011011101111011110111", "11111001110110101111111101110111111111011111101101", "11111110111111111111010101101000111111111111011111", "11101111011111111110111100011111110111101111111111", "11100111101110111111111101111111011011111111111111", "11111101110011111110101111001001111111011111011111", "10111011110010111110010100101101111110111101001100", "11111111111101111011011111101011111111111111010111", "01011101101010100111111111010111101111101101111011", "01111111111111000111110111111011111011111111101110", "10111101111110001111101111111111110111111111101101", "11111111111110010110111110110111110011101111111010", "11110111111101111011111111111111111101111111110111", "11101011111111111101111101110011111111111111111101", "11111111010011110110100101111011110010111101111110", "11110110111001111111011100111111100111111110111110", "01111111110111101110101101111111111111111111011001", "10111110111011011110110111111111111101111101111111", "11111111111111111111111011101111111111011111101101", "11111100001011111100001100111111111110111111110101", "11111111011011110111011100011111110111110111110111", "10110111010110111111111110011111111111111011011111", "11111110110001111111111011101101101101101111111111", "11101001111110110101111111110111111011110101111110", "11011010110101011100111111111011111110101101111011", "11011110110011111111111111101100111011111011111111", "01001110111111111111111111111100101111010111110011", "11011011101111111111111111111111011111110110110110", "11011111111110111111011111101110101011111011111111", "11111111011111100110011110111111110110111111011011", "11111111101111010110111111110101101001111111111111", "10110011111111111011110111101111111001111111011111", "01110111111011111110111101111011110110111111110111", "10111101110111111111111011111110111111011111111011", "11011111011110110111111111101011111111101111111110", "11011111111111111111111110110110011111110111100011", "01110011111111111111111111011101101111111011111110", "01011111111010111110110111110011111111111101010011", "01001111111111111111011111111111011111111110101111", "11111110110001111111101111011111110101111101011100", "11111101111011001111111011111111111111110110101111", "11011011111101111011111100111110011110110101110111", "11110111111110110111101111111010110111010101111011", "00111101111011101101101001111111111111111111011101", "11111111111011010110011111110111011111101011011110" }
{"00000000000001000000000000000000000000001000000000", "00000000000100000000000001000000000000000000001000", "00000000010000000000000000000000000000000000000000", "00000000000000000000000000000000100000000000010000", "00000000000000000000000000001000000000000000000000", "00000000000000000001000000000000000100000000000000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000", "00000000000100000000000000000000000000100000000000", "00100000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000", "01000000100000000000000000000000100000000000001000", "00000000000000000000000000000000000000000000000001", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000100000000000000000", "00000000000000000000000000000010000000000000000000", "00000000000000000000001001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000001000001000000000000000000000100", "00000100000000000010001000000000000000100000000000", "00000000000000000000010010001000000000000000000000", "00000000000000000000100001000000000000000000000000", "00000000000000001001000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000100000100000000000000000000000", "01000000000000001010010000001000000000000001000000", "00000000000000000000000010000000000000000000000000", "00000000000000000000000000000010000001001000000000", "00001000000000000000100001000000010001000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000010000000000010000000000000000000000", "00000000000000000000000000000000000000000000000000", "00010000000100100000000000000000000100000001000000", "00000000000000000000000000001000000000000000000000", "00000000000000000000000000000000000000000100000000", "00000100000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000010", "00000000000000000000000000011000000000000010000000", "00000000100000000001000000000000000000000000000110", "00000000010000000000000000000000000000000000000000", "10000000000000000000000000010000000000000000000001", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000100000001000000000000", "00000010000000000000000001000000100000000000000000", "00000000000000000000000000000000000000000000000001", "00010000000000000000000000000000000000000000000000", "01000000000100000000000000000000000000000000000000", "00000000000000000010000000000000000000100000000000", "00000000000000000000000000000000000010100000000000", "00000000000010000000000000000000000000001000100000"}

Returns: {"01111111111110111111111111111111111111110111111111", "10111111111011111111111110111111111111111111110111", "11011111101111111111111111111111111111111111111111", "11101111111111111111111111111111011111111111101111", "11110111111111111111111111110111111111111111111111", "11111011111111111110111111111111111011111111111111", "11111101111111111111111111111111111111111110111111", "11111110111111111111111111111111111111111111111111", "11111111011011111111111111111111111111011111111111", "11011111101111111111111111111111111111101111111111", "11111111110111111111111111111111111111111111111111", "10111111011011111111111111111111011111111111110111", "11111111111101111111111111111111111111111111111110", "01111111111110111111111111111111111111111111111111", "11111111111111011111111111111111011111111111111111", "11111111111111101111111111111101111111111111111111", "11111111111111110111110110111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111100111110111111111111111111111011", "11111011111111111100110111111111111111011111111111", "11111111111111111111001101110111111111111111111111", "11111111111111111111001110111111111111111111111111", "11111111111111110110110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111011101011111111111111111111111", "10111111111111110101101110110111111111111110111111", "11111111111111111111111101011111111111111111111111", "11111111111111111111111111101101111110110111111111", "11110111111111111111011110110111101110111111111111", "11111111111111111111111111111011111111111101111111", "11111111111111101111111111101101111111111111111111", "11111111111111111111111111111110111111111111111111", "11101111111011011111111111111111011011111110111111", "11111111111111111111111111110111101111111111111111", "11111111111111111111111111111111110111111011111111", "11111011111111111111111111111111011011111111111111", "11111111111111111111111111111111111101111111111101", "11111111111111111111111111100111111110111101111111", "11111111011111111110111111111111111111011111111001", "11111111101111111111111111111111111111101111111111", "01111111111111111111111111101111111111110111111110", "11111111111111111111111111111111110111111011111111", "11111111111111111111111111111011111110111101111111", "11111101111111111111111110111111011111111110111111", "11111111111111111111111111111111111111111111011110", "11101111111111111111111111111111111111111111101111", "10111111111011111111111111111111111111111111110111", "11111111111111111101111111111111111111011111111011", "11111111111111111111111111111111111101011111111101", "11111111111101111111111111111111111111110111011110" }
{"00000000000000000000000000000000000000000000000000", "00000000000000000100000000000000001000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000010", "00000000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000100000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000", "00000000000000100000000000000000000000000010000000", "00000000000000000000000000000000000000100000000000", "00000000000000000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "01100000000000000000000000000000000000000000000000", "00000000000000000000000001000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000001000000000000001000000", "00000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000", "00000000000100000000001000000000000000000000000000"}

Returns: {"01111111111111111111111111111111111111111111111111", "10111111111111111011111111111111110111111111111111", "11011111111111111111111111111111110111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111101111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111101", "11111111011111111111111111111111011111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111110", "11111111111101101111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111011111111111111111111", "11111111111101101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "10111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111110", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111011111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111110111", "11111111111111011111111111111011111111111101111111", "11111111111111111111111111111101111111011111111111", "11111111111111111111111111111110111111111111111111", "11111111011111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "10011111111111111111111111111111110111111111111111", "11111111111111111111111110111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111101111111011111111111", "11111011111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111011111111111101111111", "11111111111111111111111111111111111111111110110111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111110111111111111110110111", "11111111111111111111111111111111111111111111111011", "11111110111111111111111111111111111111111111111101", "11111111111011111111110111111111111111111111111110" }
{"00000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "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: {"01111111111111111111111111111111111111111111111111", "10110111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "10110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }
{"00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "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: {"01111111111111111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111111111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111111111111111111111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111111111111", "11111111111111111111111111101111111111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }
{"011111111111111", "101111111111111", "110111111111111", "111011111111111", "111101111111111", "111110111111111", "111111011111111", "111111101111111", "111111110111111", "111111111011111", "111111111101111", "111111111110111", "111111111111011", "111111111111101", "111111111111110"}

Returns: {"000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000" }
{"011111111111111", "101111111111111", "110111111111111", "111011111111111", "111100111111111", "111100111111111", "111111011111111", "111111101111111", "111111110111111", "111111111011111", "111111111101111", "111111111110111", "111111111111011", "111111111111101", "111111111111110"}

Returns: {"000000000000000", "000000000000000", "000000000000000", "000000000000000", "000001000000000", "000010000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000" }
{"011111111111111", "101111111111111", "110111111111111", "111011111111111", "111101111111110", "111110011111111", "111110011111111", "111111101111111", "111111110111111", "111111111011111", "111111111101111", "111111111110111", "111111111111011", "111111111111101", "111101111111110"}

Returns: {"000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000001", "000000100000000", "000001000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000000000000000", "000010000000000" }
{"001011101100110", "000010111001100", "100001011101000", "000011000000010", "110100010010001", "101100010001110", "110000000010100", "011011000000111", "111000000001001", "101000000000101", "000010100000001", "011001001000001", "110001110100001", "100101010000000", "000010011111100"}

Returns: {"010100010011001", "101101000110011", "010110100010111", "111000111111101", "001001101101110", "010010101110001", "001111011101011", "100100101111000", "000111110110110", "010111111011010", "111101011101110", "100110110110110", "001110001011010", "011010101111101", "111101100000010" }
{"000010010000100", "001000100100011", "010010010001010", "000000000001000", "101000001000001", "000000100011011", "010001000000100", "101000000000001", "000010000100010", "010000001000010", "000001000000000", "001101000000000", "100000100000010", "011001001100100", "010011010000000"}

Returns: {"011101101111011", "100111011011100", "100101101110101", "111011111110111", "010101110111110", "111110011100100", "101110011111011", "010111101111110", "111101110011101", "101111110011101", "111110111101111", "110010111110111", "011111011111001", "100110110011001", "101100101111110" }
{"00000010000000000000100010000000000", "00001010110010100000101010010010111", "00000000101000000000010000100100100", "00000101000010000000011010001100101", "01000000000100010010100000001000010", "00010000100000001000001010100101100", "11000000100111000000110001010001001", "00010000100010010000010000001000001", "01100111000000000100000000000000000", "01000000000110100110000000000001110", "00100000000010011011000100111000001", "00001010010010010000010010011000000", "01010011011100000000001000101000100", "00000010000000001110010010000001001", "01000000010000000010000100110010000", "00001001001100000011101010010000010", "00000100001001000000001000001100000", "00000000110001000000010000111010010", "00001000011001110000000000010100101", "00000000001000010000010000010001100", "11001010000000010000000000000000000", "00110011000101000101000000100000000", "01010100000010011000000010010010100", "00000000001000100000000000010101001", "11010100000101010000001000100001000", "00000010000000000000000000100010001", "00100100001010100100010011010000000", "01000010001100110111001100100000000", "00011001001110001100000000000010000", "00110100000000001010000100000010101", "01000000000000100100001001001100100", "00000110010001000001000110000000010", "01110100010010000011001000000110001", "01001000010000010100000000000001000", "01010011001001000010000101000100100"}

Returns: {"01111101111111111111011101111111111", "10110101001101011111010101101101000", "11011111010111111111101111011011011", "11101010111101111111100101110011010", "10110111111011101101011111110111101", "11101011011111110111110101011010011", "00111101011000111111001110101110110", "11101110011101101111101111110111110", "10011000011111111011111111111111111", "10111111101001011001111111111110001", "11011111110101100100111011000111110", "11110101101001101111101101100111111", "10101100100001111111110111010111011", "11111101111110110001101101111110110", "10111111101111011101111011001101111", "11110110110011101100010101101111101", "11111011110110110111110111110011111", "11111111001110111011101111000101101", "11110111100110001101111111101011010", "11111111110111101110101111101110011", "00110101111111101111011111111111111", "11001100111010111010101111011111111", "10101011111101100111110101101101011", "11111111110111011111111011101010110", "00101011111010101111110101011110111", "11111101111111111111111110011101110", "11011011110101011011101100001111111", "10111101110011001000110011001111111", "11100110110001110011111111110101111", "11001011111111110101111011111001010", "10111111111111011011110110110001011", "11111001101110111110111001111110101", "10001011101101111100110111111001010", "10110111101111101011111111111110101", "10101100110110111101111010111011010" }
{"00000000000000000000000000000000000", "00000001000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "01000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000100000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000001000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000"}

Returns: {"01111111111111111111111111111111111", "10111110111111111111111111111111111", "11011111111111111111111111111111111", "11101111111111111111111111111111111", "11110111111111111111111111111111111", "11111011111111111111111111111111111", "11111101111111111111111111111111111", "10111110111111111111111111111111111", "11111111011111111111111111111111111", "11111111101111111111111111111111111", "11111111110111111111111111111111111", "11111111111011111111111111111111111", "11111111111101111111111111111111111", "11111111111110111111111111111111111", "11111111111111011111111111111111111", "11111111111111101111111111111111111", "11111111111111110111111111111011111", "11111111111111111011111111111111111", "11111111111111111101111111111111111", "11111111111111111110111111111111111", "11111111111111111111011111111111111", "11111111111111111111101111111111111", "11111111111111111111110111111111111", "11111111111111111111111011111111111", "11111111111111111111111101111111111", "11111111111111111111111110111111111", "11111111111111111111111111011111111", "11111111111111111111111111101111111", "11111111111111111111111111110111111", "11111111111111110111111111111011111", "11111111111111111111111111111101111", "11111111111111111111111111111110111", "11111111111111111111111111111111011", "11111111111111111111111111111111101", "11111111111111111111111111111111110" }
{"00100000000010000000000000000000000", "00001000000000000000000000000011000", "10000000000000000000000000000000000", "00000000000000000010001000000000000", "01000000000000000000000000000000000", "00000000000000000000100000000000000", "00000000000000000000000000000000000", "00000000000000000101010000000000000", "00000000000000000000000000000000000", "00000000000000000000100000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "10000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000001000000000", "00000000000000000100010010000000000", "00000000000000000001000000000000000", "00000001000000010000000000000000000", "00010000000000000000000000000000000", "00000001000000001000000000000000000", "00000100010000000000000000000100000", "00000001000000010000000010000000000", "00010000000000000000000000100000001", "00000000000000000000000000000000000", "00000000000000010000010000000000000", "00000000000000100000000000000000000", "00000000000000000000001000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000100000000000000", "01000000000000000000000000000000000", "01000000000000000000000000000000000", "00000000000000000000000000000000010", "00000000000000000000000000000000100", "00000000000000000000001000000000000"}

Returns: {"01011111111101111111111111111111111", "10110111111111111111111111111100111", "01011111111111111111111111111111111", "11101111111111111101110111111111111", "10110111111111111111111111111111111", "11111011111111111111011111111111111", "11111101111111111111111111111111111", "11111110111111111010101111111111111", "11111111011111111111111111111111111", "11111111101111111111011111111111111", "11111111110111111111111111111111111", "11111111111011111111111111111111111", "01111111111101111111111111111111111", "11111111111110111111111111111111111", "11111111111111011111111110111111111", "11111111111111101011101101111111111", "11111111111111110110111111111111111", "11111110111111101011111111111111111", "11101111111111111101111111111111111", "11111110111111110110111111111111111", "11111011101111111111011111111011111", "11111110111111101111101101111111111", "11101111111111111111110111011111110", "11111111111111111111111011111111111", "11111111111111101111101101111111111", "11111111111111011111111110111111111", "11111111111111111111110111011111111", "11111111111111111111111111101111111", "11111111111111111111111111110111111", "11111111111111111111011111111011111", "10111111111111111111111111111101111", "10111111111111111111111111111110111", "11111111111111111111111111111111001", "11111111111111111111111111111111001", "11111111111111111111110111111111110" }
{"01111111111111111111111111111111111", "10111111111111111111111111111111111", "11011111111111111111111111111111111", "11101111111111111111111111111111111", "11110111111111111111111111111111111", "11111011111111111111111111111111111", "11111101111111111111111111111111111", "11111110110111111111111111111111111", "11111111011111111111111111111111111", "11111111101111111111111111111111111", "11111110110111111111111111111111111", "11111111111011111111111111111111111", "11111111111101111111111111111111111", "11111111111110111111111111111111111", "11111111111111011111111111111111111", "11111111111111101111111111111111111", "11111111111111110111111111111111111", "11111111111111111011111111111111111", "11111111111111111101111111111111111", "11111111111111111110111111111111111", "11111111111111111111011111111111111", "11111111111111111111101111111111111", "11111111111111111111110111111111111", "11111111111111111111111011111111111", "11111111111111111111111101111111111", "11111111111111111111111110111111111", "11111111111111111111111111011111111", "11111111111111111111111111101111111", "11111111111111111111111111110111111", "11111111111111111111111111111011111", "11111111111111111111111111111101111", "11111111111111111111111111111110111", "11111111111111111111111111111111011", "11111111111111111111111111111111101", "11111111111111111111111111111111110"}

Returns: {"00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000001000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000001000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000" }
{"01111111111111111111111111111111111", "10111111111111111111111111111111111", "11011111111111111111111111111111111", "11101111111111111111111111111111111", "11110111111111111111111111111111111", "11111011111111111111111111111111111", "11111101111111111111111111111111111", "11111110111111111111111111111111111", "11111111011111111111111111111111111", "11111111101111111111111111111111111", "11111111110111111111111111111111111", "11111111111011111111111111111111111", "11111111111101111111111111111111111", "11111111111110111111111111111111111", "11111111111111011111111111111111111", "11111111111111101111111111111111111", "11111111111111110111111111111111111", "11111111111111111011111111111111111", "11111111111111111101111111111111111", "11111111111111111110111111111111111", "11111111111111111111011111111111111", "11111111111111111111101111111111111", "11111111111111111111110111111111111", "11111111111111111111111011111111111", "11111111111111111111111101111111111", "11111111111111111111111110111111111", "11111111111111111111111111011111111", "11111111111111111111111111101111111", "11111111111111111111111111110111111", "11111111111111111111111111111011111", "11111111111111111111111111111101111", "11111111111111111111111111111110111", "11111111111111111111111111111111011", "11111111111111111111111111111111101", "11111111111111111111111111111111110"}

Returns: {"00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000", "00000000000000000000000000000000000" }
{"0101001000", "1001001000", "0000110111", "1100001000", "0010010111", "0010100111", "1101000000", "0010110011", "0010110101", "0010110110"}

Returns: {"0010110111", "0010110111", "1101001000", "0010110111", "1101001000", "1101001000", "0010110111", "1101001000", "1101001000", "1101001000" }
{"0100011010", "1000001110", "0001000001", "0010100000", "0001000001", "1000001110", "1100010010", "0100010010", "1100011100", "0010100000"}

Returns: {"0011100101", "0011110001", "1100111110", "1100011111", "1110011110", "0111100001", "0011100101", "1011101001", "0011100001", "1101011110" }
{"00001110101000010010", "00010001010100100101", "00010000000100101101", "01100000010100101101", "10000110101011010010", "10001010001000010010", "10001100101001010010", "01000000000000101101", "10001010001011010010", "01010000000100101101", "10001110100011010010", "01110000010000100101", "00001000101001010010", "00001010101010000010", "01110001010100001000", "10001110101010000000", "00110001010000100101", "01110001010100001001", "10001110101011000000", "01110001010100001100"}

Returns: {"01110001010111101101", "10101110101011011010", "11001111111011010010", "10001111101011010010", "01110001010100101101", "01110001110111101101", "01110001010110101101", "10111110111111010010", "01110101010100101101", "10101111101011010010", "01110001010100101101", "10001111101011011010", "11110111010100101101", "11110101010100111101", "10001110101011010111", "01110001010101101111", "11001110101111010010", "10001110101011110010", "01110001010100111101", "10001110101011110010" }
{"00100011011011011000", "00011100100100100111", "10000011011011011000", "01001100100100100111", "01010100100100100111", "01011000100100100111", "10100001011011011000", "10100010011011011000", "01011100000100100111", "10100011001011011000", "10100011010011011000", "01011100100000100111", "10100011011001011000", "10100011011010011000", "01011100100100000111", "10100011011011001000", "10100011011011010000", "01011100100100100011", "01011100100100100101", "01011100100100100110"}

Returns: {"01011100100100100111", "10100011011011011000", "01011100100100100111", "10100011011011011000", "10100011011011011000", "10100011011011011000", "01011100100100100111", "01011100100100100111", "10100011011011011000", "01011100100100100111", "01011100100100100111", "10100011011011011000", "01011100100100100111", "01011100100100100111", "10100011011011011000", "01011100100100100111", "01011100100100100111", "10100011011011011000", "10100011011011011000", "10100011011011011000" }
{"010001000011110110011100100101", "100001000011110110011100100101", "000110111100001001100011011010", "001010111100001001100011011010", "001100111100001001100011011010", "110000000011110110011100100101", "001110011100001001100011011010", "001110101100001001100011011010", "001110110100001001100011011010", "001110111000001001100011011010", "110001000001110110011100100101", "110001000010110110011100100101", "110001000011010110011100100101", "110001000011100110011100100101", "001110111100000001100011011010", "110001000011110010011100100101", "110001000011110100011100100101", "001110111100001000100011011010", "001110111100001001000011011010", "110001000011110110001100100101", "110001000011110110010100100101", "110001000011110110011000100101", "001110111100001001100001011010", "001110111100001001100010011010", "110001000011110110011100000101", "001110111100001001100011001010", "001110111100001001100011010010", "110001000011110110011100100001", "001110111100001001100011011000", "110001000011110110011100100100"}

Returns: {"001110111100001001100011011010", "001110111100001001100011011010", "110001000011110110011100100101", "110001000011110110011100100101", "110001000011110110011100100101", "001110111100001001100011011010", "110001000011110110011100100101", "110001000011110110011100100101", "110001000011110110011100100101", "110001000011110110011100100101", "001110111100001001100011011010", "001110111100001001100011011010", "001110111100001001100011011010", "001110111100001001100011011010", "110001000011110110011100100101", "001110111100001001100011011010", "001110111100001001100011011010", "110001000011110110011100100101", "110001000011110110011100100101", "001110111100001001100011011010", "001110111100001001100011011010", "001110111100001001100011011010", "110001000011110110011100100101", "110001000011110110011100100101", "001110111100001001100011011010", "110001000011110110011100100101", "110001000011110110011100100101", "001110111100001001100011011010", "110001000011110110011100100101", "001110111100001001100011011010" }
{"001010010110101011111011001011", "000101101001010100000100110100", "100010010110101011111011001011", "010001101001010100000100110100", "101000010110101011111011001011", "010100101001010100000100110100", "010101001001010100000100110100", "101010000110101011111011001011", "010101100001010100000100110100", "101010010010101011111011001011", "101010010100101011111011001011", "010101101000010100000100110100", "101010010110001011111011001011", "010101101001000100000100110100", "101010010110100011111011001011", "010101101001010000000100110100", "101010010110101001111011001011", "101010010110101010111011001011", "101010010110101011011011001011", "101010010110101011101011001011", "101010010110101011110011001011", "010101101001010100000000110100", "101010010110101011111001001011", "101010010110101011111010001011", "010101101001010100000100010100", "010101101001010100000100100100", "101010010110101011111011000011", "010101101001010100000100110000", "101010010110101011111011001001", "101010010110101011111011001010"}

Returns: {"010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "010101101001010100000100110100", "010101101001010100000100110100", "010101101001010100000100110100", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "010101101001010100000100110100", "101010010110101011111011001011", "101010010110101011111011001011", "010101101001010100000100110100", "101010010110101011111011001011", "010101101001010100000100110100", "010101101001010100000100110100" }
{"000001001000110010000001000001", "000000000001000000101100100010", "000101000010010010000011000101", "001000000110001000000001000100", "000000100000000000110000001010", "101000001010001000000011000000", "000010010000000101001000110010", "000000100000000000000100011000", "100001000000111000000001000100", "000100000010000000000000000100", "001101000100101000000011000001", "010000000000000100011000101010", "100000001010001000000011000101", "101000001000001000000001000001", "000101001010110010000010000001", "000000100001000000111100111000", "101000000000001000000001000000", "000000100000000000010100000010", "010010000000000100010100101000", "000010000001000101101100000000", "010000100001000100010100111010", "010000010000000101111000101000", "001001000010101000000000000001", "101101001010110010000000000000", "010000100001000100101100000010", "000000110000000100001000001010", "000010010001000100101100010010", "001100001100100000000000000000", "010010100001000001001000111000", "101000000010111000000010000000"}

Returns: {"011110110111001101111110111110", "101111111110111111010011011101", "110010111101101101111100111010", "110011111001110111111110111011", "111101011111111111001111110101", "010110110101110111111100111111", "111101001111111010110111001101", "111111001111111111111011100111", "011110110111000111111110111011", "111011111001111111111111111011", "110010111001010111111100111110", "101111111110111011100111010101", "011111110101010111111100111010", "010111110111100111111110111110", "111010110101000101111101111110", "111111011110111011000011000111", "010111111111110101111110111111", "111111011111111110101011111101", "101101111111111011001011010111", "111101111110111010000011111111", "101111011110111011100011000101", "101111101111111010000011010111", "110110111101010111111101111110", "010010110101001101111110111111", "101111011110111011010011011101", "111111001111111011110111100101", "111101101110111011010011100101", "110011110011011111111111111011", "101101011110111110110111000101", "010111111101000111111101111110" }
{"000000010011100010000000101000", "001001000100000001100110000001", "010101000100001001100100010001", "001010100100010001000010000001", "000100000000001101001010000000", "011000100000010101101100000000", "000101000000000001100110010001", "100000000010000010000001100010", "000000000011000000000001001110", "011100000000011001100100000001", "100000011000100000000000001110", "100000001000100010000000100010", "100000000011000010000000100010", "000101000100001100100110000000", "001010000100010000011010010000", "000011000000010000000110010001", "100000010001100000000000001000", "011111100100000000000110010000", "011001100100010000000100000000", "000000000000001000001110010001", "000011000000001000010100010001", "011001100100010101111010000001", "010110100000011101010100000000", "000000011000000000000000000110", "100000010001100000000000001100", "001000100000001101011000000000", "100000001010000010000000100000", "000000001010000000000001100000", "000000011011100000000001000000", "011100100100000100011100000000"}

Returns: {"011111101100011101111111010111", "100110111011111110011001111110", "100010111011110110011011101110", "110001011011101110111101111110", "111001111111110010110101111111", "100110011111101010010011111111", "111010011111111110011001101110", "011111101101111101111110011101", "111111110100111111111110110001", "100011111011100110011011111110", "011111100101011111111111110001", "011111110110011101111111011101", "011111111100011101111111011101", "111010111011100011011001111111", "110101111011100111100101101111", "111100111111101011111001101110", "011111101110011101111111110111", "100000011011111110111001101111", "100110011011101111011011111111", "111111111111110111100001101110", "111100111111110111100011101110", "100110011011101010000001111110", "101001011111100010101001111111", "111111100111111111111110111001", "011111101110011111111111010011", "110111011111110010100111101111", "011111110101111101111111010111", "111111110101111111111110011011", "111111100100011111111110111101", "100011011011111011100011111110" }
{"0001100000000000001000000010000000110000", "0010000101100000000000000100000000000011", "0100000010100000000000000100000101000000", "1000100000000000011010000000000000101000", "1001001000010000001000000011010000110000", "0000000010100000000000000100000000000001", "0000100000000000011010000001000000001000", "0100000001000000000000100100000001000011", "0010010000100000000000000000000000000010", "0100000100000001000000000000000100000000", "0110010010000000000100000000000100000011", "0000100000000000010000000000000000110000", "0000000000000100000001011000000000000000", "0000000000001010000001000000000000000000", "0000000000000100000000000000100000000000", "0000000001000000000100000100000100000001", "0000000000000000000000000000000000000000", "0001001000010000001010000011000000001000", "1001101000000000010010000010000000000000", "0000000000100001000000100000000000000000", "0001001000000000011000000011000000010000", "0000000000001100000000001000000000000100", "0000000100000000000100000100000000000010", "0000000000001000000000000000101000000000", "0000000000001000000001000000001000000000", "0110010100000001000000100000000000000010", "1000100000000000011010000000000010011000", "0000101000000000010010000000000010111000", "0000000000000010000000010000000000000100", "0000100000000000000000000000000010000000", "0000000000000000000000011000000000000100", "0010000001100001000000000000000001000001", "0000000000000000000000000011010000000000", "0010000100000000000000000000000100000010", "1001100000010000000000000001000000000000", "1000100000010000000010000011000000001000", "0001001000000000010000000011000000010000", "0000000000000000000001000000101000000000", "0100000110100000000000100100000001000000", "0100010100100001000000000000000100000000"}

Returns: {"0110011111111111110111111101111111001111", "1001111010011111111111111011111111111100", "1001111101011111111111111011111010111111", "0110011111111111100101111111111111010111", "0110010111101111110111111100101111001111", "1111101101011111111111111011111111111110", "1111010111111111100101111110111111110111", "1011111010111111111111011011111110111100", "1101101101011111111111111111111111111101", "1011111010111110111111111111111011111111", "1001101101011111111011111111111011111100", "1111011111101111101111111111111111001111", "1111111111110011111110100111111111111111", "1111111111110001111110111111111111111111", "1111111111111001111111111111011111111111", "1111111110111110111011111011111011111110", "1111111111111111011111111111111111111111", "1110110111101111100101111100111111110111", "0110010111111111100101111101111111111111", "1111111111011110111011011111111111111111", "1110110111111111100101111100111111101111", "1111111111110011111110110111111111111011", "1111111011111111111011011011111111111101", "1111111111110111111111101111010111111111", "1111111111110111111110110111110111111111", "1001101011111110111111011011111111111101", "0111011111111111100101111101111101100111", "1111010111111111101101111110111101000111", "1111111111111101111111101111011111111011", "1111011111111111111111111111101101111111", "1111111111111111111111100111110111111011", "1101111110011110111111111111111010111110", "1111111111111111111111111100101101111111", "1101111011111111111111111111111010111101", "0110011111101111111111111110111111011111", "0111011111101111111101111100111111100111", "1110110111111111101111111100111111100111", "1111111111111111111110111111010111111011", "1011111001011111111111011011111110111101", "1011101011011110111111111111111011111110" }
{"0010100010000000001000000000000000000000", "0000000010001000101001100000000000100000", "1000001000000100011001100100000000100000", "0000010101000000000110000000001000010100", "1000000010000000000000000001000100100000", "0001000000000000000000000000001000010100", "0010000000000000010000100001000100100001", "0001000000100010000110000000000000000000", "1100100000001000000000000001000000100000", "0001000000000010000100000000001000010000", "0000000100000000000010000000001000001000", "0000000000000001000000010000010000000000", "0100000010000100111001100000000100000001", "0010000000001000000000000000000100100000", "0000000101000000000010001000000000001000", "0000000000010000000000000000100000000000", "0100000000001000000000000101000000100000", "0010001000001000001001000000000100000000", "1110000000001000010000000100000100100000", "0001000101000000000010001000000000000000", "0001000100100010000100001000000000000100", "0110000000001000010000100000000100000000", "0110001000001000000001000000000100000001", "0000000000010000000000000010100000000000", "0000000000000010000110000000001000000000", "0010000000000000101000000000000000100001", "0000000000000000000000010000100010000000", "0000101010000000100000000000000000100001", "0000000000000001000000010010000010000010", "0000000000010000000000000000000000000010", "0001010001100000000000001000000000000100", "0000101000001100011001100000000000000000", "0000000000000000000000000010100000000010", "0000000000000000000000000000000000000010", "0110101010000100101000000101000000000001", "0001010001000000000000000000000000001100", "0000000000100010000000000000000000010000", "0001010000000000000010000000001000010000", "0000000000000000000000000000110011000000", "0000001000001000000000100101000000100000"}

Returns: {"0101011101111111110111111111111111111111", "1011111101110111010110011111111111011111", "0101110111111011100110011011111111011111", "1110101010111111111001111111110111101011", "0111011101111111111111111110111011011111", "1110101111111111111111111111110111101011", "1101110111111111101111011110111011011110", "1110111011011101111001111111111111111111", "0011011101110111111111111110111111011111", "1110111110111101111011111111110111101111", "1111111011011111111101111111110111110111", "1111111111101110111111101111101111111111", "1011111101110011000110011111111011111110", "1101111111110011111111111111111011011111", "1111111010111101111101110111111111110111", "1111111111101110111111111111011111111111", "1011111111110111011111111010111111011111", "1101110111110111100110111111111011111111", "0001111111110111100111111011111011011111", "1110111010111111111001110111111111111111", "1110111011011101111001110111111111111011", "1001111111110111101110011111111011111111", "1001110111110111111110011111111011111110", "1111111111101111111111101101011111111111", "1111111111111101111001110111110111111111", "1101111111111111010111111011111111011110", "1111111111111111111111101101011101111111", "1111010101111111011111111110111111011110", "1111111111111110111111101101011101111101", "1111111111101111111111111111101111111101", "1110101110011111111111110111110111111011", "1111010111110011100110011111111011111111", "1111111111111111111111111101011101111101", "1111111111111111111111111111111110111101", "1001010101111011010111111010111111011110", "1110101110111111111111111111111111100011", "1111111111011101111111111111111111100111", "1110101111111111111101111111110111101011", "1111111111111111111111111111001100111101", "1111110111110111111111011010111111011110" }
{"0000000001000100001000110000010000000000", "0000000000000010100000000100100000000110", "0001001100000001000101000010000000001001", "0010001010000001000100000010000100100001", "0000010000000010000000000001000000000010", "0000100000100000000000000101000000000100", "0011000010000001000001000010000000000000", "0010000010000001000101000000000000000000", "0001001100000000000101000000000000101000", "1000000000000000000000011000011001010000", "0000010000010010100000000001100010000000", "0000000000100010100000000100000010000110", "0000000000000100011000110000001001010000", "1000000000001000011010010000001001000000", "0100100000110000000000000100100000000110", "0011001100000000000101000010000100101000", "0100000000110000000000000101100010000110", "0000000000001100000010010000011000010000", "1000000000001100000000110000011001010000", "0011000110000001000001000010000100100000", "0000000000000100010000111000010001010000", "0010001110000001000100000000000100100001", "1000000000001000001010001000001001000000", "1000000001001100011010001000001001010000", "0000000001000000000010110000011000000000", "0100010000010010100000000000100000000100", "0011001000000001000100000000000100100001", "0000110000100000100000000000100010000110", "0100000000100010100000000101000010000000", "1000000001000000011010001000001000000000", "0000000001001100011000111000010001010000", "0001000000000001000101000010000000101000", "0000000000110000100000000001100000000100", "0000000001001100001010110000001000000000", "0001000010000001000101000010000100001000", "0000000001001000011010010000001000000000", "0010000010000001000000000000000100100000", "0100010000010010100000000101000010000010", "0100100000010010100000000001000000000100", "0011000000000000000001000010000000000000"}

Returns: {"0111111110111011110111001111101111111111", "1011111111111101011111111011011111111001", "1100110011111110111010111101111111110110", "1100110101111110111011111101111011011110", "1111001111111101111111111110111111111101", "1111001111011111111111111010111111111011", "1100110101111110111110111101111111111111", "1101111001111110111010111111111111111111", "1110110001111111111010111111111111010111", "0111111110111111111111100111100110101111", "1111101111001101011111111110011101111111", "1111111111001101011111111011111101111001", "1111111111110011100111001111110110101111", "0111111111110011100101101111110110111111", "1011011111001101111111111011011111111001", "1100110011111110111010111101111011010111", "1011111111001111011111111010011101111001", "1111111111110011101101101111100111101111", "0111111111110011110111001111100110101111", "1100111001111110111010111101111011011111", "1111111111111011101101000111101110101111", "1101110001111110111010111111111011011110", "0111111111110111110101010111110110111111", "0111111110110011100101100111110110101111", "1111111110111111111101000111100111111111", "1011101111101101011111111011011111111011", "1100110111111110111011111101111011011110", "1111001111011111011111111110011101111001", "1011111111011101011111111010011101111111", "0111111110111111100101110111100111111111", "1111111110110011100111000111100110101111", "1110111111111110111010111101111011010111", "1111111111001111011111111110011101111011", "1111111110110011110101001111110110111111", "1110111101111110111010111101111011010111", "1111111110110111100101101111110111101111", "1101111101111110111111111111111011010111", "1011101111101101011111111010111101111001", "1011011111101101011111111110111111111001", "1100111111111111111110111101111111111110" }
{"0000010000000011010101010000000000010110", "0011001101010000100010001011001101100001", "0101001101010000100010001011001101100001", "0110001101010000100010001011001101100001", "0000000010101100001000100100110010001000", "1000000000000011010101010000000000010110", "0111000101010000100010001011001101100001", "0111001001010000100010001011001101100001", "0000100000101100001000100100110010001000", "0111001100010000100010001011001101100001", "0000100010001100001000100100110010001000", "0111001101000000100010001011001101100001", "0000100010100100001000100100110010001000", "0000100010101000001000100100110010001000", "1000010000000001010101010000000000010110", "1000010000000010010101010000000000010110", "0111001101010000000010001011001101100001", "1000010000000011000101010000000000010110", "0000100010101100000000100100110010001000", "1000010000000011010001010000000000010110", "0111001101010000100000001011001101100001", "1000010000000011010100010000000000010110", "0000100010101100001000000100110010001000", "1000010000000011010101000000000000010110", "0111001101010000100010000011001101100001", "0000100010101100001000100000110010001000", "0111001101010000100010001001001101100001", "0111001101010000100010001010001101100001", "0000100010101100001000100100010010001000", "0000100010101100001000100100100010001000", "0111001101010000100010001011000101100001", "0111001101010000100010001011001001100001", "0000100010101100001000100100110000001000", "0111001101010000100010001011001100100001", "0111001101010000100010001011001101000001", "1000010000000011010101010000000000000110", "0000100010101100001000100100110010000000", "1000010000000011010101010000000000010010", "1000010000000011010101010000000000010100", "0111001101010000100010001011001101100000"}

Returns: {"0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1111011101010011110111011011001101110111", "0111101111111100101010101111111111101001", "0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110", "0111101111111100101010101111111111101001", "1111011101010011110111011011001101110111", "0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110", "0111101111111100101010101111111111101001", "1111011101010011110111011011001101110111", "0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1111011101010011110111011011001101110111", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "1111011101010011110111011011001101110111", "1000110010101111011101110100110010011110", "1000110010101111011101110100110010011110", "0111101111111100101010101111111111101001", "1111011101010011110111011011001101110111", "0111101111111100101010101111111111101001", "0111101111111100101010101111111111101001", "1000110010101111011101110100110010011110" }
{"00001000110110101100000010100110011110000011001100", "00110111001001010011111101011001100001111100110011", "01010111001001010011111101011001100001111100110011", "01100111001001010011111101011001100001111100110011", "10000000110110101100000010100110011110000011001100", "01110011001001010011111101011001100001111100110011", "01110101001001010011111101011001100001111100110011", "01110110001001010011111101011001100001111100110011", "10001000010110101100000010100110011110000011001100", "10001000100110101100000010100110011110000011001100", "01110111000001010011111101011001100001111100110011", "10001000110010101100000010100110011110000011001100", "10001000110100101100000010100110011110000011001100", "01110111001000010011111101011001100001111100110011", "10001000110110001100000010100110011110000011001100", "01110111001001000011111101011001100001111100110011", "10001000110110100100000010100110011110000011001100", "10001000110110101000000010100110011110000011001100", "01110111001001010001111101011001100001111100110011", "01110111001001010010111101011001100001111100110011", "01110111001001010011011101011001100001111100110011", "01110111001001010011101101011001100001111100110011", "01110111001001010011110101011001100001111100110011", "01110111001001010011111001011001100001111100110011", "10001000110110101100000000100110011110000011001100", "01110111001001010011111100011001100001111100110011", "10001000110110101100000010000110011110000011001100", "01110111001001010011111101001001100001111100110011", "01110111001001010011111101010001100001111100110011", "10001000110110101100000010100010011110000011001100", "10001000110110101100000010100100011110000011001100", "01110111001001010011111101011000100001111100110011", "01110111001001010011111101011001000001111100110011", "10001000110110101100000010100110001110000011001100", "10001000110110101100000010100110010110000011001100", "10001000110110101100000010100110011010000011001100", "10001000110110101100000010100110011100000011001100", "01110111001001010011111101011001100000111100110011", "01110111001001010011111101011001100001011100110011", "01110111001001010011111101011001100001101100110011", "01110111001001010011111101011001100001110100110011", "01110111001001010011111101011001100001111000110011", "10001000110110101100000010100110011110000001001100", "10001000110110101100000010100110011110000010001100", "01110111001001010011111101011001100001111100010011", "01110111001001010011111101011001100001111100100011", "10001000110110101100000010100110011110000011000100", "10001000110110101100000010100110011110000011001000", "01110111001001010011111101011001100001111100110001", "01110111001001010011111101011001100001111100110010"}

Returns: {"01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100", "01110111001001010011111101011001100001111100110011", "01110111001001010011111101011001100001111100110011", "10001000110110101100000010100110011110000011001100", "10001000110110101100000010100110011110000011001100" }
{"00100010010100010001010100000001001000000001101100", "00011001100010001010000000011000010001110010000001", "10000010010100010001010100000001001000000001101100", "01001001100010001010000000011000010001110010000001", "01010001100010001010000000011000010001110010000001", "00000000001001100100101011100110100110001100010010", "10100000010100010001010100000001001000000001101100", "01011000100010001010000000011000010001110010000001", "01011001000010001010000000011000010001110010000001", "10100010000100010001010100000001001000000001101100", "00000100000001100100101011100110100110001100010010", "10100010010000010001010100000001001000000001101100", "01011001100000001010000000011000010001110010000001", "00000100001000100100101011100110100110001100010010", "00000100001001000100101011100110100110001100010010", "10100010010100000001010100000001001000000001101100", "01011001100010000010000000011000010001110010000001", "00000100001001100000101011100110100110001100010010", "01011001100010001000000000011000010001110010000001", "10100010010100010000010100000001001000000001101100", "00000100001001100100001011100110100110001100010010", "10100010010100010001000100000001001000000001101100", "00000100001001100100100011100110100110001100010010", "10100010010100010001010000000001001000000001101100", "00000100001001100100101001100110100110001100010010", "00000100001001100100101010100110100110001100010010", "00000100001001100100101011000110100110001100010010", "01011001100010001010000000001000010001110010000001", "01011001100010001010000000010000010001110010000001", "00000100001001100100101011100010100110001100010010", "00000100001001100100101011100100100110001100010010", "10100010010100010001010100000000001000000001101100", "00000100001001100100101011100110000110001100010010", "01011001100010001010000000011000000001110010000001", "10100010010100010001010100000001000000000001101100", "00000100001001100100101011100110100010001100010010", "00000100001001100100101011100110100100001100010010", "01011001100010001010000000011000010000110010000001", "01011001100010001010000000011000010001010010000001", "01011001100010001010000000011000010001100010000001", "00000100001001100100101011100110100110000100010010", "00000100001001100100101011100110100110001000010010", "01011001100010001010000000011000010001110000000001", "10100010010100010001010100000001001000000000101100", "10100010010100010001010100000001001000000001001100", "00000100001001100100101011100110100110001100000010", "10100010010100010001010100000001001000000001100100", "10100010010100010001010100000001001000000001101000", "00000100001001100100101011100110100110001100010000", "01011001100010001010000000011000010001110010000000"}

Returns: {"01011101101011101110101011111110110111111110010011", "10100110011101110101111111100111101110001101111110", "01011101101011101110101011111110110111111110010011", "10100110011101110101111111100111101110001101111110", "10100110011101110101111111100111101110001101111110", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "10100110011101110101111111100111101110001101111110", "10100110011101110101111111100111101110001101111110", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "10100110011101110101111111100111101110001101111110", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "10100110011101110101111111100111101110001101111110", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110", "10100110011101110101111111100111101110001101111110", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110", "10100110011101110101111111100111101110001101111110", "10100110011101110101111111100111101110001101111110", "11111011110110011011010100011001011001110011101101", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110", "01011101101011101110101011111110110111111110010011", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "01011101101011101110101011111110110111111110010011", "01011101101011101110101011111110110111111110010011", "11111011110110011011010100011001011001110011101101", "10100110011101110101111111100111101110001101111110" }
{"01001100000000000000000010000000101010000010000101", "10001100000000000000000010000000101010000010000101", "00000000101000110010001100000111000100010000101000", "00000010010010000001110001111000010000101000000000", "11000100000000000000000010000000101010000010000101", "11001000000000000000000010000000101010000010000101", "00010000010010000001110001111000010000101000000000", "00000000000101001100000000000000000001000101010010", "00100000001000110010001100000111000100010000101000", "00010010000010000001110001111000010000101000000000", "00100000100000110010001100000111000100010000101000", "00000001000001001100000000000000000001000101010010", "00010010010000000001110001111000010000101000000000", "00000001000100001100000000000000000001000101010010", "00100000101000010010001100000111000100010000101000", "00100000101000100010001100000111000100010000101000", "00000001000101000100000000000000000001000101010010", "00000001000101001000000000000000000001000101010010", "00100000101000110000001100000111000100010000101000", "00010010010010000000110001111000010000101000000000", "00010010010010000001010001111000010000101000000000", "00010010010010000001100001111000010000101000000000", "00100000101000110010000100000111000100010000101000", "00100000101000110010001000000111000100010000101000", "11001100000000000000000000000000101010000010000101", "00010010010010000001110000111000010000101000000000", "00010010010010000001110001011000010000101000000000", "00010010010010000001110001101000010000101000000000", "00010010010010000001110001110000010000101000000000", "00100000101000110010001100000011000100010000101000", "00100000101000110010001100000101000100010000101000", "00100000101000110010001100000110000100010000101000", "11001100000000000000000010000000001010000010000101", "00010010010010000001110001111000000000101000000000", "11001100000000000000000010000000100010000010000101", "00100000101000110010001100000111000000010000101000", "11001100000000000000000010000000101000000010000101", "00000001000101001100000000000000000000000101010010", "00010010010010000001110001111000010000001000000000", "00100000101000110010001100000111000100000000101000", "00010010010010000001110001111000010000100000000000", "00000001000101001100000000000000000001000001010010", "11001100000000000000000010000000101010000000000101", "00000001000101001100000000000000000001000100010010", "00100000101000110010001100000111000100010000001000", "00000001000101001100000000000000000001000101000010", "00100000101000110010001100000111000100010000100000", "11001100000000000000000010000000101010000010000001", "00000001000101001100000000000000000001000101010000", "11001100000000000000000010000000101010000010000100"}

Returns: {"00110011111111111111111101111111010101111101111010", "00110011111111111111111101111111010101111101111010", "11011111010111001101110011111000111011101111010111", "11101101101101111110001110000111101111010111111111", "00110011111111111111111101111111010101111101111010", "00110011111111111111111101111111010101111101111010", "11101101101101111110001110000111101111010111111111", "11111110111010110011111111111111111110111010101101", "11011111010111001101110011111000111011101111010111", "11101101101101111110001110000111101111010111111111", "11011111010111001101110011111000111011101111010111", "11111110111010110011111111111111111110111010101101", "11101101101101111110001110000111101111010111111111", "11111110111010110011111111111111111110111010101101", "11011111010111001101110011111000111011101111010111", "11011111010111001101110011111000111011101111010111", "11111110111010110011111111111111111110111010101101", "11111110111010110011111111111111111110111010101101", "11011111010111001101110011111000111011101111010111", "11101101101101111110001110000111101111010111111111", "11101101101101111110001110000111101111010111111111", "11101101101101111110001110000111101111010111111111", "11011111010111001101110011111000111011101111010111", "11011111010111001101110011111000111011101111010111", "00110011111111111111111101111111010101111101111010", "11101101101101111110001110000111101111010111111111", "11101101101101111110001110000111101111010111111111", "11101101101101111110001110000111101111010111111111", "11101101101101111110001110000111101111010111111111", "11011111010111001101110011111000111011101111010111", "11011111010111001101110011111000111011101111010111", "11011111010111001101110011111000111011101111010111", "00110011111111111111111101111111010101111101111010", "11101101101101111110001110000111101111010111111111", "00110011111111111111111101111111010101111101111010", "11011111010111001101110011111000111011101111010111", "00110011111111111111111101111111010101111101111010", "11111110111010110011111111111111111110111010101101", "11101101101101111110001110000111101111010111111111", "11011111010111001101110011111000111011101111010111", "11101101101101111110001110000111101111010111111111", "11111110111010110011111111111111111110111010101101", "00110011111111111111111101111111010101111101111010", "11111110111010110011111111111111111110111010101101", "11011111010111001101110011111000111011101111010111", "11111110111010110011111111111111111110111010101101", "11011111010111001101110011111000111011101111010111", "00110011111111111111111101111111010101111101111010", "11111110111010110011111111111111111110111010101101", "00110011111111111111111101111111010101111101111010" }
{"00011000001000001010000000100001000001000010101000", "00000000000011000000000000000000000100000001010000", "00000001000000010101110001000000001000000000000010", "10001000001000001010000000100001000001000010101000", "10010000001000001010000000100001000001000010101000", "00000000000000000000001100010110100000010000000101", "00000000110100100000000010001000010010101100000000", "00100000000000010101110001000000001000000000000010", "00000010010100100000000010001000010010101100000000", "00000010100100100000000010001000010010101100000000", "10011000000000001010000000100001000001000010101000", "00000010110000100000000010001000010010101100000000", "01000000000001000000000000000000000100000001010000", "01000000000010000000000000000000000100000001010000", "00000010110100000000000010001000010010101100000000", "00100001000000000101110001000000001000000000000010", "10011000001000000010000000100001000001000010101000", "00100001000000010001110001000000001000000000000010", "10011000001000001000000000100001000001000010101000", "00100001000000010100110001000000001000000000000010", "00100001000000010101010001000000001000000000000010", "00100001000000010101100001000000001000000000000010", "00000100000000000000000100010110100000010000000101", "00000100000000000000001000010110100000010000000101", "00000010110100100000000000001000010010101100000000", "00100001000000010101110000000000001000000000000010", "10011000001000001010000000000001000001000010101000", "00000100000000000000001100000110100000010000000101", "00000010110100100000000010000000010010101100000000", "00000100000000000000001100010010100000010000000101", "00000100000000000000001100010100100000010000000101", "10011000001000001010000000100000000001000010101000", "00000100000000000000001100010110000000010000000101", "00000010110100100000000010001000000010101100000000", "00100001000000010101110001000000000000000000000010", "01000000000011000000000000000000000000000001010000", "00000010110100100000000010001000010000101100000000", "10011000001000001010000000100001000000000010101000", "00000010110100100000000010001000010010001100000000", "00000100000000000000001100010110100000000000000101", "00000010110100100000000010001000010010100100000000", "00000010110100100000000010001000010010101000000000", "10011000001000001010000000100001000001000000101000", "01000000000011000000000000000000000100000000010000", "10011000001000001010000000100001000001000010001000", "01000000000011000000000000000000000100000001000000", "10011000001000001010000000100001000001000010100000", "00000100000000000000001100010110100000010000000001", "00100001000000010101110001000000001000000000000000", "00000100000000000000001100010110100000010000000100"}

Returns: {"01100111110111110101111111011110111110111101010111", "10111111111100111111111111111111111011111110101111", "11011110111111101010001110111111110111111111111101", "01100111110111110101111111011110111110111101010111", "01100111110111110101111111011110111110111101010111", "11111011111111111111110011101001011111101111111010", "11111101001011011111111101110111101101010011111111", "11011110111111101010001110111111110111111111111101", "11111101001011011111111101110111101101010011111111", "11111101001011011111111101110111101101010011111111", "01100111110111110101111111011110111110111101010111", "11111101001011011111111101110111101101010011111111", "10111111111100111111111111111111111011111110101111", "10111111111100111111111111111111111011111110101111", "11111101001011011111111101110111101101010011111111", "11011110111111101010001110111111110111111111111101", "01100111110111110101111111011110111110111101010111", "11011110111111101010001110111111110111111111111101", "01100111110111110101111111011110111110111101010111", "11011110111111101010001110111111110111111111111101", "11011110111111101010001110111111110111111111111101", "11011110111111101010001110111111110111111111111101", "11111011111111111111110011101001011111101111111010", "11111011111111111111110011101001011111101111111010", "11111101001011011111111101110111101101010011111111", "11011110111111101010001110111111110111111111111101", "01100111110111110101111111011110111110111101010111", "11111011111111111111110011101001011111101111111010", "11111101001011011111111101110111101101010011111111", "11111011111111111111110011101001011111101111111010", "11111011111111111111110011101001011111101111111010", "01100111110111110101111111011110111110111101010111", "11111011111111111111110011101001011111101111111010", "11111101001011011111111101110111101101010011111111", "11011110111111101010001110111111110111111111111101", "10111111111100111111111111111111111011111110101111", "11111101001011011111111101110111101101010011111111", "01100111110111110101111111011110111110111101010111", "11111101001011011111111101110111101101010011111111", "11111011111111111111110011101001011111101111111010", "11111101001011011111111101110111101101010011111111", "11111101001011011111111101110111101101010011111111", "01100111110111110101111111011110111110111101010111", "10111111111100111111111111111111111011111110101111", "01100111110111110101111111011110111110111101010111", "10111111111100111111111111111111111011111110101111", "01100111110111110101111111011110111110111101010111", "11111011111111111111110011101001011111101111111010", "11011110111111101010001110111111110111111111111101", "11111011111111111111110011101001011111101111111010" }
{"00000000000000001000010000100000000000000000000000", "00000010010000000000000000000000000111000100010000", "00000001001000000000000001000110000000100000000000", "00000000100000000001000000001000000000010000000000", "00000000000010000000000000000000000000000000000011", "00000000000000000000000000000000000000000000000000", "01000000010000000000000000000000000111000100010000", "00100000001000000000000001000110000000100000000000", "00010000000000000001000000001000000000010000000000", "01000010000000000000000000000000000111000100010000", "00100001000000000000000001000110000000100000000000", "00000000000000000010000000000000100000001000000100", "00001000000000000000000000000000000000000000000011", "00000000000000000100000000000000001000000010100000", "00000000000000010000101110010000010000000001001000", "00000000000000100000101110010000010000000001001000", "10000000000000000000010000100000000000000000000000", "00000000000001000000000000000000001000000010100000", "00000000000100000000000000000000100000001000000100", "00010000100000000000000000001000000000010000000000", "00000000000000110000001110010000010000000001001000", "10000000000000001000000000100000000000000000000000", "00000000000000110000100110010000010000000001001000", "00000000000000110000101010010000010000000001001000", "00000000000000110000101100010000010000000001001000", "00100001001000000000000000000110000000100000000000", "10000000000000001000010000000000000000000000000000", "00000000000000110000101110000000010000000001001000", "00010000100000000001000000000000000000010000000000", "00100001001000000000000001000010000000100000000000", "00100001001000000000000001000100000000100000000000", "00000000000000000000000000000000000000000000000000", "00000000000100000010000000000000000000001000000100", "00000000000000110000101110010000000000000001001000", "00000000000001000100000000000000000000000010100000", "01000010010000000000000000000000000011000100010000", "01000010010000000000000000000000000101000100010000", "01000010010000000000000000000000000110000100010000", "00100001001000000000000001000110000000000000000000", "00010000100000000001000000001000000000000000000000", "00000000000100000010000000000000100000000000000100", "01000010010000000000000000000000000111000000010000", "00000000000001000100000000000000001000000000100000", "00000000000000110000101110010000010000000000001000", "00000000000001000100000000000000001000000010000000", "01000010010000000000000000000000000111000100000000", "00000000000000110000101110010000010000000001000000", "00000000000100000010000000000000100000001000000000", "00001000000010000000000000000000000000000000000001", "00001000000010000000000000000000000000000000000010"}

Returns: {"01111111111111110111101111011111111111111111111111", "10111101101111111111111111111111111000111011101111", "11011110110111111111111110111001111111011111111111", "11101111011111111110111111110111111111101111111111", "11110111111101111111111111111111111111111111111100", "11111011111111111111111111111111111111111111111111", "10111101101111111111111111111111111000111011101111", "11011110110111111111111110111001111111011111111111", "11101111011111111110111111110111111111101111111111", "10111101101111111111111111111111111000111011101111", "11011110110111111111111110111001111111011111111111", "11111111111011111101111111111111011111110111111011", "11110111111101111111111111111111111111111111111100", "11111111111110111011111111111111110111111101011111", "11111111111111001111010001101111101111111110110111", "11111111111111001111010001101111101111111110110111", "01111111111111110111101111011111111111111111111111", "11111111111110111011111111111111110111111101011111", "11111111111011111101111111111111011111110111111011", "11101111011111111110111111110111111111101111111111", "11111111111111001111010001101111101111111110110111", "01111111111111110111101111011111111111111111111111", "11111111111111001111010001101111101111111110110111", "11111111111111001111010001101111101111111110110111", "11111111111111001111010001101111101111111110110111", "11011110110111111111111110111001111111011111111111", "01111111111111110111101111011111111111111111111111", "11111111111111001111010001101111101111111110110111", "11101111011111111110111111110111111111101111111111", "11011110110111111111111110111001111111011111111111", "11011110110111111111111110111001111111011111111111", "11111111111111111111111111111110111111111111111111", "11111111111011111101111111111111011111110111111011", "11111111111111001111010001101111101111111110110111", "11111111111110111011111111111111110111111101011111", "10111101101111111111111111111111111000111011101111", "10111101101111111111111111111111111000111011101111", "10111101101111111111111111111111111000111011101111", "11011110110111111111111110111001111111011111111111", "11101111011111111110111111110111111111101111111111", "11111111111011111101111111111111011111110111111011", "10111101101111111111111111111111111000111011101111", "11111111111110111011111111111111110111111101011111", "11111111111111001111010001101111101111111110110111", "11111111111110111011111111111111110111111101011111", "10111101101111111111111111111111111000111011101111", "11111111111111001111010001101111101111111110110111", "11111111111011111101111111111111011111110111111011", "11110111111101111111111111111111111111111111111100", "11110111111101111111111111111111111111111111111100" }
{"00000010000000000000000000100100010000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000001000000000000000000000000000000001", "00000000000100000000000000000000000000000000000000", "00000010000000000000000000010100010000000000000000", "10000100000000000000000000110001000000000000000000", "00000000001000000000100000000000000000000111000000", "00000000010000000000000000000000000000000000000010", "00000000100000000000000010000000000000000000000000", "00000001000000000000100000000000000000000001000000", "00001000000000000000000000000000000000000000000100", "00000000000000000000000000000000001000100000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000010000000000000000000000000000", "00000000000000000000000000000010001000100000000000", "00010000000000000100000000000000000000000000000000", "00000000000000001000000000000000000000000000001001", "00000000000000000000000000000000100000000000000000", "00000000000000000000000100000000000000001000100000", "00000001001000000000000000000000000100000110000000", "00000000000000100000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000001000000000000000000000000000000", "00000000010000000000000000000000000000000000000010", "00000000000000000000000000000000000000001000000000", "10000010000000000000000000000001010000000000000000", "00000110000000000000000000000001000000000000000000", "00000000000000000000000000000000000001000000000000", "10000100000000000000000000000001000000000000000000", "00000000000000010000000000000000000000000000000000", "00000010000000000000000000110100010000000000000000", "00000000000000000010000000000000000000000000000000", "10000100000000000000000000100001000000000000000000", "00000000000010010000000000000000000000100000000000", "00000000000000000000100000000000000000000100000000", "00000000000000000000010000000000000000000000000000", "00000000000000000000000000001000000000000000000000", "00000000000010010000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000001000001000000000000000000100000", "00000001000000000000100000000000000100000001000000", "00000001000000000000100000000000000000000001000000", "00000001001000000000000000000000000000000110000000", "00000000000000000001000000000000000000001000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000100000000000000010000000000000000000000000", "00010000000000000100000000000000000000000000000000"}

Returns: {"01111101111111111111111111011011101111111111111111", "10111111111111111111111111111111111111111111111111", "11011111111111111111111111111111111111111111111111", "11101111111111110111111111111111111111111111111110", "11110111111011111111111111111111111111111111111111", "11111001111111111111111111101011101111111111111111", "01111001111111111111111111001110111111111111111111", "11111110110111111111011111111111111111111000111111", "11111111001111111111111111111111111111111111111101", "11111111001111111111111101111111111111111111111111", "11111110110111111111011111111111111111111110111111", "11110111111011111111111111111111111111111111111011", "11111111111101111111111111111111110111011111111111", "11111111111110111111111111111111111111111111111111", "11111111111111011111101111111111111111111111111111", "11111111111111101111111111111101110111011111111111", "11101111111111110011111111111111111111111111111111", "11111111111111110011111111111111111111111111110110", "11111111111111111101111111111111011111111111111111", "11111111111111111110111011111111111111110111011111", "11111110110111111111011111111111111011111001111111", "11111111111111011111101111111111111101111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111110111011111111111111111111111111", "11111111101111111111111101111111111111111111111101", "11111111111111111111111110111111111111110111111111", "01111101111111111111111111011110101111111111111111", "11111001111111111111111111101110111111111111111111", "11111111111111111111111111110111111110111111111111", "01111011111111111111111111111010111111111111111111", "11111111111111101111111111111101111111111111111111", "11111101111111111111111111001010101111111111111111", "11111111111111111101111111111111011111111111111111", "01111011111111111111111111011110101111111111111111", "11111111111101101111111111111111110111011111111111", "11111111111111111111011111111111111011111011111111", "11111111111111111111101111111111111101111111111111", "11111111111111111111111111110111111110111111111111", "11111111111101101111111111111111110111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111110111110111111111111110111011111", "11111110111111111111011111111111111011111010111111", "11111110111111111111011111111111111111111100111111", "11111110110111111111111111111111111111111000111111", "11111111111111111110111111111111111111110111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111011111111111111111111111111110111", "11111111111011111111111111111111111111111111111011", "11111111011111111111111101111111111111111111111101", "11101111111111111011111111111111111111111111111110" }
{"00000000000000110000000000010000000001000000000100", "00000000000000000000010000000000000000000100000000", "00010000000000000000100001001000100000000010000000", "00100000100000000000000000000000001000000000100000", "00000000000000110000001000110000000000000000000000", "00000000100000000000000000001000101000000000000000", "00000000000010000000000000000101000000000000000010", "00000000000001000000000000000000000000000000010000", "00010100000000000000000000001000101000000010100000", "00000000000000000000000000000000000000000000000000", "00000000000001000100000010000000000000000000010000", "00000000000000001000000100000000000110001001000010", "00000010000000000000000000000000000010001000000010", "00000001001000000100000010000000010000000000000001", "10001000000000000001001000010000000000000000000100", "10001000000000000000001000010000000001000000000000", "00000000000100000000000000000101000100001001000000", "00000000001001000000000010000000010000000000001000", "00000000000000000000000000000100000100001001000000", "00000000000000100000001000010000000000000000000100", "00100000000000000000000001001000100000000010100000", "01000000000000000000000000000010000000000100000000", "00001000000000110001000000000000000000000000000100", "00000000000100000000000000000001000110001001000000", "00000000001001000100000000000000010000000000011001", "00100000000000000000100000001000001000000010000000", "00001000000000000000000000010000000001000000000100", "10001000000000110001000000100000000000000000000100", "00100100100000000000100001000000000000000010000000", "00000010000000001010000000000000000010001000000000", "00000000000000000000010000000000000000010000000000", "00000010000000001000000100000000000100001000000000", "00100100100000000000100000000000001000000000100000", "00000000000001000100000010000000000000000000001001", "00010100100000000000000001000000100000000000000000", "00000000000100001010000100000001000000001001000000", "00000000000110000000000100000100000000000001000010", "10000000000000010000000000100000000000000000000100", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000010000000000000000000", "00000000000110001010000100000101000100000000000000", "01000000000000000000010000000000000000000000000000", "00100000100000000000100001001000000000000000100000", "00000000000100001010000100000000000110000000000010", "00010000100000000000100000000000100000000010000000", "00000001001000000000000010000000000000000000000000", "00000000000000000100000010000000010000000000000000", "10000000000000100001001000110000000001000000000000", "00000010000110000000000000000000000010000001000000", "00000000000001000000000010000000010000000000000000"}

Returns: {"01111111111111001111111111101111111110111111111011", "10111111111111111111101111111111111111111011111111", "11001111111111111111011110110111011111111101111111", "11001111011111111111111111111111110111111111011111", "11110111111111001111110111001111111111111111111111", "11111011011111111111111111110111010111111111111111", "11111101111101111111111111111010111111111111111101", "11111110111110111111111111111111111111111111101111", "11101011011111111111111111110111010111111101011111", "11111111101111111111111111111111111111111111111111", "11111111110110111011111101111111111111111111101111", "11111111111011110111111011111111111001110110111101", "11111101111101111111111111111111111101110111111101", "11111110110110111011111101111111101111111111111110", "01110111111111011110110111101111111111111111111011", "01110111111111101111110111101111111110111111111111", "11111111111011110111111111111010111011110110111111", "11111111110110111011111101111111101111111111110111", "11111111111111111101111111111011111011110110111111", "11111111111111011110110111101111111111111111111011", "11011111111111111111011110110111011111111101011111", "10111111111111111111101111111101111111111011111111", "11110111111111001110110111111111111111111111111011", "11111111111011111111111011111110111001110110111111", "11111111110110111011111101111111101111111111100110", "11011111111111111111011110110111110111111101111111", "11110111111111111111111111001111111110111111111011", "01110111111111001110111111001111111111111111111011", "11011011011111111111011110110111111111111101111111", "11111101111111110101111111111011111101110111111111", "11111111111111111111101111111101111111101111111111", "11111101111111110111111011111110111011110111111111", "11011011011111111111011111111111010111111111011111", "11111111111110111011111101111111101111111111110110", "11101011011111111111111110111111010111111111111111", "11111111111011110101111011111110111011110110111111", "11111111111001111111111011111011111101111110111101", "01111111111111101111111111011111111110111111111011", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111101111111101111111111", "11111111111001110101111011111010111011110111111111", "10111111111111111111101111111111111111111011111111", "11011111011111111111011110110111111111111101011111", "11111111111011110101111011111111111001111110111101", "11101111011111111111011111111111011111111101011111", "11111110110111111111111101111111111111111111101111", "11111111111111111011111101111111101111111111110111", "01111111111111011110110111001111111110111111111011", "11111101111001111111111111111111111101111110111101", "11111111111110111111111101111111101111111111111110" }
{"01100000000000000000000000001000110000010000000000", "10000000100000000000100000000000010000010000000000", "10000000000000000000000000000000110000010000000000", "00000000000011000000000000000000001100000000000100", "00000000000000000100000101110000000001000000001000", "00000001010000000010001010000010000000000100110010", "00000000000000000101010000100000000001000000001000", "00000100010000011000001000000001000000100000000000", "01000000001000000000100000001000010000000001000000", "00000101000100101000000000000010000000000100000010", "00000000100000000000100000000000100000010000000000", "00000000010000011010000010000001000000000100100011", "00010000000000000000000000000100001110000000000100", "00010000000000000000000000000000001100000010000100", "00000000010000000000000000000000000000000000100001", "00000001000100001000000010000000000000100100110010", "00000001010100010010001000000001000000100100000011", "00001010000000000001000000000000000000000000001000", "00000100000100001000001010000000000000100000110000", "00000010000000000100010001010000000001000000001000", "01000000101000000000000000000000010000000000000000", "00000010000000000001000000110000000000000000001000", "00000101000000001010000000000001000000100100010001", "00001000000000000000000001110000000000000000001000", "00000100000100010010000000000010000000000100010000", "00001000000000000001000100010000000001000000000000", "00001010000000000000010100010000000000000000000000", "00001000000000000001010101100000000000000000001000", "10000000100000000000000000000000100000000000000000", "00000000000010000000000000000000000110000010000100", "00000100010000000000000010000001000000000100010001", "00000001000100001000001000000010000000100000000000", "10100000001000000000000000001000000000010000000000", "11100000100000000000100000000000000000010001000000", "00010000000011000000000000000000000010000010000000", "00010000000011000000000000000100000010000000000100", "00000000000010000000000000000100001100000010000000", "00001010000000000001000001000000000000000000001000", "00000001000000011010001000000001000000000000010000", "11100000001000000000000000000000110000000001000000", "00000000000000000000000000000000000000000000000100", "00000100010100011000001010000010000000000000010001", "00000000000001000000000000000100001010000000000100", "00000000100000000000000000000000010000010000000000", "00000100000100110010000000000000000000000000000010", "00000100000000010010001010000010000000100100000001", "00001010000000000101010100010000000001000000000000", "00010000000011000000000000000100000100001010000000", "00000100010100011000000000000000000000000000100000", "00000000000100101000001000000010000000000100010000"}

Returns: {"00011111111111111111111111110111001111101111111111", "00111111011111111111011111111111101111101111111111", "01011111111111111111111111111111001111101111111111", "11101111111100111111111111111111110011111111111011", "11110111111111111011111010001111111110111111110111", "11111010101111111101110101111101111111111011001101", "11111101111111111010101111011111111110111111110111", "11111010101111100111110111111110111111011111111111", "10111111010111111111011111110111101111111110111111", "11111010101011010111111111111101111111111011111101", "11111111010111111111011111111111011111101111111111", "11111111101011100101111101111110111111111011011100", "11101111111101111111111111111011110001111111111011", "11101111111110111111111111111111110011111101111011", "11111111101111011111111111111111111111111111011110", "11111110111011100111111101111111111111011011001101", "11111110101011100101110111111110111111011011111100", "11110101111111111010111111111111111111111111110111", "11111011111011110101110101111111111111011111001111", "11111101111111111010101110101111111110111111110111", "10111111010111111111011111111111101111111111111111", "11111101111111111110101111001111111111111111110111", "11111010111111110101110111111110111111011011101110", "11110111111111111111111010001111111111111111110111", "11111011111011101101111101111101111111111011101111", "11110111111111111110111010101111111110111111111111", "11110101111111111111101011001111111111111111111111", "11110111111111111110101010001111111111111111110111", "01111111011111111111111111110111011111111111111111", "11111111111101111111111111111011111001111101111011", "11111011101111111111111101111100111111111011101110", "11111110111011110111110111111100111111011111111111", "01011111110111111111111111110111011111101111111111", "00011111011111111111011111111111101111101110111111", "11101111111100111111111111111111110101111101111111", "11101111111100111111111111111011111001111111111011", "11111111111101111111111111111011110001111101111111", "11110101111111111110111110111111111110111111110111", "11111110111111100101110111111110111111011111101111", "00011111110111111111111111111111001111101110111111", "11111111111111111111111111111111111111110111111011", "11111011101011100111110101111101111111111011101110", "11111111111110111111111111111011110101111101111011", "11111111011111111111111111111111101111101110111111", "11111011111011001101111111111111111111111111011101", "11111011111111101101110101111101111111011011101110", "11110101111111111010101011101111111110111111110111", "11101111111100111111111111111011111011110101111011", "11111011101011100111111111111111111111111111011101", "11111111111011010111110111111101111111111011101110" }
{"00000001100001000100100000000000001001000000100000", "00000000010000110010010001000110000000010000001000", "00000000010010100000000000000110010010110000000100", "00000000000010100010000101000110000010000100000100", "00000001000000000000100000000000001000000000000010", "00000000000100000000000000000001000000000010010001", "00000000000100000000001000010000000000000011000001", "10001000001001000101000000001000000000000000000000", "10000000001000000101100000001000000000000000000010", "01100000000010110000010101100110000000010100000100", "00000001100000000101100000001000001001000000100000", "00000110000000000000000000000001000000000010000001", "00110000010000100010000101100100000100100100001100", "10000001000000000001000000001000001001000000100000", "01110000010010010010000011000010000000110000000000", "01000000010000100010000001000110010100110000000100", "00000000000000000000100000001000000000001000000000", "10000001101000000001100000001000000000001000000000", "01010000000010110000000100100010000110010000001100", "00000001101001000100100000001000001000000000000000", "10001000101000001101000000001000001000001000100010", "01000000010000000000000011100100000000100000000100", "00000010000000000000000000010000100000000010000000", "00010000010010000010000010000100000110100000000100", "00000000000000100000010101000100000100100100000000", "01010000010010110000010010000010010010010000000000", "00000000010010000010010000000110010010100000001000", "00000010000000000000001000000000100000000001010000", "00000001101001001101100000000000001001001000000000", "01110000010010010000010110100010000010110100001100", "01110000010000110010000001100100010010100000001000", "00000100000100000000000000000000000000000000000001", "00000000000000000000001000010000000000000001010001", "00100000000000010000000001100010000000010100001000", "10001000001001000001100000001000000000000000100010", "00000000000010010010000110000000000000100000000100", "00110000000000000010000101100110000000110000001100", "10000000001001000000000000001000000000001000000010", "00100000000010110000010110100110000110010000000100", "01100000010000110010000001000100010010100100001000", "00000000000000001100100000001000000001000000100000", "00010000010010000000000010000100010000010000001000", "00000110000100000000001000000000000000000000010000", "00000010000000000000000000010000100000000000000000", "10000000001001000000100000000000001000001000000000", "00000100000000000000000000010000100000000010000001", "01000000000010000010000000100110010010010100000100", "00110000010010010010010100000100000110100000001000", "00001000100000000000100000000000001001000000000000", "00000110000100000000000000000001100000000000010000"}

Returns: {"01111110011110111011011111111111110110111111011111", "10111111101111001101101110111001111111101111110111", "11011111101101011111111111111001101101001111111011", "11101111111101011101111010111001111101111011111011", "11110110111111111111011111111111110111111111111101", "11111011111011111111111111111110111111111101101110", "11111101111011111111110111101111111111111100111110", "01110110110110111010111111110111111111111111111111", "01111111010111111010011111110111111111111111111101", "10011111101101001111101010011001111111101011111011", "11111110010111111010011111110111110110111111011111", "11111001111011111111111111111110111111111101111110", "11001111101101011101111010011011111011011011110011", "01111110111110111110111111110111110110111111011111", "10001111101101001101111100111101111111001111111111", "10111111101111001101111110111001101011001111111011", "11111111111111110111011111110111111111110111111111", "01111110010111111010011111110111111111110111111111", "10101111111101001101111011011101111001101111110011", "11111110010110111010011111110111110111111111111111", "01110111010111110010011111110111110111110111011101", "10111111101111111111101100011011111111011111111011", "11111101111111111111110111101111011111111101111111", "11101111101101111101111001111011111001011111111011", "11111111111111011111101000111011111011011011111111", "10101111101101001111101100111101101101101111111111", "11111111101101111101101111011001101101011111110111", "11111101111111111111110111101111011111111110101111", "11111110010110110010011111110111110110110111111111", "10001111101101101111101001011001111101001011110011", "10001111101111001101111110011001101101011111110111", "11111011111011111111111111111110111111111111111110", "11111111111111111111110111101111011111111110101110", "11011111111111101111111110011101101111101011110111", "01110111110110111110011111110111110111111111011101", "11111111111101101101111001111111111011011111111011", "11001111111111111101111010011001111101001111110011", "01111111110110111111111111110111111110110111111101", "11011111111101001111101001011001111001001111111011", "10011111101111001101111110111011101101001011110111", "11111111111111110011011111110111111110110111011111", "11101111101101111111111101111011101111101011110111", "11111001111011111111110111111111111111111101101111", "11111101111111111111111111101111011111111110111111", "01111111110110111111011111111111110111110111011111", "11111011111111111111111111101111011111111101101110", "10111111111101111101111111011001101101101011110011", "11001111101101101101101011111011111001011111110011", "11110111011111111111011111111111110110111111111101", "11111001111011111111111111111110011111111111101110" }
{"00000110001000001110100000000111000000000001001000", "00100000100110010001010000010000100101001000000000", "01010000100011010000000100010000100101000000000000", "00100000110000000001010000010000000100001000100000", "00000110001000000110101001100011000000010000001000", "10001011000000000100001001100010000010010001000011", "10001101000000001000001001100110001000110001011011", "00000110001000101000000001000110000010000001000110", "01110000000111010001010010000000000100000100000000", "00010000000010000000000110011000000100000010100000", "10001001000000001000100001100000011010010001011101", "01000000100010000000010000001000100101000010100000", "01100000110101000000000100011000100001001000000000", "00100000100010000001010010000000100101000110100000", "00000001000000001110000000100110001000110001001110", "01100000100000000000010110000000100100001000100000", "10000011001000100000101000000100011010010000000010", "10001100000000100010101001000010001010110001010000", "10001000000000100100000000000100001000100000000101", "01010000100001000000000000010000100101001110000000", "10001000001000001100000000000100000010010001001110", "01010000100101010000000000001000000000001100100000", "00001110000000001100000001100011001010100001001000", "00100000010010010000000010010000000000000000100000", "00000000110001010000000100000000100000001100000000", "00001111001000000100001000000111010010100000010011", "00001110001000100000001000000100010000000001000100", "01110000010010000001000100001000000101000110000000", "00000000010110000000010000010000100101001010000000", "10000011000000101010100001100001010000100000001100", "10001111000000100100001001000001001010010000011111", "10001000000000000000001001000110010000100000000101", "01100000000111010001000010001000000000001010000000", "00000000001000001000000001100101001010010000000101", "00000010001000101110001000000010010010110000000111", "01110000110101010001000000011000000001000110000000", "00000101001000001100101001000010011000000000011000", "01100000000111000001000000011000000100001010100000", "00000010000000100110001001000101001000000000001111", "00001110001000101100100000000010011000000001010011", "01010000000010010001010010001000100001000010100000", "00000000100001000001010010010000000100000010100000", "00000000010101000001000000011000100101001100100000", "10000111001000100100101000100000000000010000011000", "00010000010101010000010100000000000001001110000000", "00000010001000000100000001000010000010010001001100", "10001010001000100000101000000110000010100001010010", "00000001001000100010100000100111011000100000010000", "00000111000000101000100001000010001000110000001001", "00000110001000000010000001000011011000110000000010"}

Returns: {"01111001110111110001011111111000111111111110110111", "10011111011001101110101111101111011010110111111111", "10001111011100101111111011101111011010111111111111", "11001111001111111110101111101111111011110111011111", "11110001110111111001010110011100111111101111110111", "01110000111111111011110110011101111101101110111100", "01110000111111110111110110011001110111001110100100", "11111000110111010111111110111001111101111110111001", "10001111011000101110101101111111111011111011111111", "11101111101101111111111001100111111011111101011111", "01110110110111110111011110011111100101101110100010", "10111111011001111111101111110111011010111101011111", "10011111001000111111111011100111011110110111111111", "11011111011100111110101101111111011010111001011111", "11111110111111010001111111011001110111001110110001", "10011111011111101111101001111111011011110111011111", "01111100110111010111010111111011100101101111111101", "01110011111111011001010110111101110101001110101111", "01110111111111011001111111111011110111011111111010", "10101111011110111110111111101111011010110001111111", "01110111110111110011011111111011111101101110110001", "10101111011010101111101111110111111111110011011111", "11110001111111110011110110011100110101011110110111", "11011111101101101111111001101111111111111111011111", "11111111001110101111111001111111011111110011111111", "11110000110111111011110110111000101101011111101100", "11110001110111011111110111011011101111111110111011", "10001111101101111110111011100111111010111001111111", "11111111101001111111101111100111011010110101111111", "01111100111111010101011110011010101111011111110011", "01110000111111011011110110111100110101101111100000", "01110111111111111111110110111000101111011111111010", "10011111111000101110111101110111011111110101111111", "11111111110111110111111110011010100101101111111010", "11111101110111010001110111111101100101001111111000", "10001111001010101110111111100111111010111001111111", "11111010110111110011010110111101100101111111100111", "10011111111000111110111111100111111010110101011111", "11111101111111011001110110111010110111011111110000", "11110001110111010011011111111101100111101110101100", "10101111111101101110101101110111011110110101011111", "11111111011110111110101101101111111011111001011111", "11111111101010111110111111100111011010110001011111", "01111000110111011011010111011111111111101110100111", "11101111101010101111101011111111111110110001011111", "11111101110111111011111110111101111101101110100011", "01110101110111011111010111111001111101011110100101", "11111110110111011101011111011000100111011111101011", "11111000111111010111011110111101110111001111110100", "11111001110111111101111110111100100111001111111100" }
{"00100000000000000000001100000000000000000000010000", "00001000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000000000000000001000100000000000000000100", "01000000000000000000000000000000000000000011000000", "00000000000000000000000000000000011000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000010000000000000000000000001000000", "00000000000001000000000000000000000000000000100100", "00000000000000000000000000000001000100000000000000", "00000000000000000000000000100000000000000100000000", "00000000000000000000000000000000000000100000000000", "00000000000000010000000000000000000000000000000010", "00000000100000000000000000000000000000000010100000", "00000000000000000100000000000000000000000100000000", "00000000000010000000010000000000000100000000000010", "00000000000000000000000000000010000000000100000000", "00000000000000100000000100000000010000000000000000", "00000001000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000010000000100", "00000000000000010000000000000000000000000000000000", "10000000000000000000000010000000000000000000000000", "10000000000000000100000000100010000000000000000000", "00000000000000000000001000000000010001000000000000", "00010000000000000000000000000001000000000000000000", "00000000001000000000000100000000001000000000000000", "00000000000000000000000000000000000000000010001000", "00000000000000000000000000000000001000001000000000", "00010000000000000000000000000001000000000000000100", "00000000000000001000000100000000001001000000000000", "00000000010000000000000001000100000000010010000100", "00000000000000000000000000000000001000000000000000", "00000100000000000100000010000000000000000000000000", "00000100000000000000000000101010100000000000010000", "00000000010000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000010000000000000000010000010000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000000000000000100000000001000000000000001000", "00000000000000000000000000001000000000000000000000", "00000000001000101000000000000000000000000000000000", "00001000000001000000000000010001000000000000000000", "00001001000000000000000000000000000000000000000000", "00000000100001000000000000000000000000000000000000", "10000000000000000000000000000000001000000000000000", "00000000000000000010000000010000000000010000000000", "00010000100000000000100000000101000000000000000000", "00000000000010010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

Returns: {"01011111111111111111110011111111111111111111101111", "10110111111111111111111111111111111111111111111111", "01011111111111111111111111111111111111111111111111", "11101111111111111111111110111011111111111111111011", "10110111111111111111111111111111111111111100111111", "11111011111111111111111111111111100111111111111111", "11111101111111111111111111111111111110111111111111", "11111110111111111101111111111111111111111110111111", "11111111011110111111111111111111111111111111011011", "11111111101111111111111111111110111011111111111111", "11111111110111111111111111011111111111111011111111", "11111111111011111111111111111111111111011111111111", "11111111111101101111111111111111111111111111111101", "11111111011110111111111111111111111111111101011111", "11111111111111011011111111111111111111111011111111", "11111111111101101111101111111111111011111111111101", "11111111111111110111111111111101111111111011111111", "11111111111111011011111011111111101111111111111111", "11111110111111111101111111111111111111111111110111", "11111111111111111110111111111111111111111111111111", "11111111111111111111011111111111111111101111111011", "11111111111111101111101111111111111111111111111111", "01111111111111111111110101111111111111111111111111", "01111111111111111011111011011101111111111111111111", "11111111111111111111110101111111101110111111111111", "11101111111111111111111110111110111111111111111111", "11111111110111111111111011011111110111111111111111", "11111111111111111111111111101111111111111101110111", "11111111111111111111111111110111110111110111111111", "11101111111111111111111111111010111111111111111011", "11111111111111110111111011111101110110111111111111", "11111111101111111111111110111010111111101101111011", "11111111111111111111111111111111010111111111111111", "11111011111111111011111101111111101111111111111111", "11111011111111111111111111010101010111111111101111", "11111111101111101111111111111111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111101111111111111111101111101111110111111111111", "11111111111011111111111111111111111111011111111111", "11111111111111111111011111111110111111101111110111", "11111111111111111111111111110111111111110111111111", "11111111110111010111111111111111111111111011111111", "11110111111110111111111111101110111111111101111111", "11110110111111111111111111111111111111111110111111", "11111111011110111111111111111111111111111111011111", "01111111111111111111111111111111110111111111101111", "11111111111111111101111111101111111111101111110111", "11101111011111111111011111111010111111111111111011", "11111111111101101111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }
{"00000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000010000001000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000", "00000100000000010000000000001000000000000100000000", "00001000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000001", "00000000000000000000000000000000000010000000010000", "00100000000000000000000000000000000010101000000000", "00000000000100000000000000000000000000000000000010", "10000000001000000001000000000000000100000000000000", "00000000000001000000000000000000010000000000000000", "00000001000010000000000000010000010000000000000000", "00000000000000000000000000000000000000000000000000", "00001000000000000000000000000000000000000010000000", "00100000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000100010000000010000000000", "00000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000001000000000000000000000000000", "00000000000000000000010000000000000000000010000000", "00000000000000001000000000000000000001000000000000", "00000000000000000000000000000100000000000000000000", "00000000000000000000000000010000000000000000000000", "00000000000000000010000000000000000000000000010000", "00000000000001000000000001000000000000000000000000", "00001000000000000000000000000000000000000000000000", "00000000000000000000000010000000000100000000000000", "00000000000000000010000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000011000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000100000000000000000100000000000000000000", "00000000110000000000000000000000000000000000000000", "00000000000000000000000100000000000000000000000000", "00000000010000000000000000000000000000001000100000", "00000000000000000010000000000000000000000000000000", "00000000010000000000000000000000000000100000100000", "00001100000000000000000000000000000000000010000000", "00000000000000010000001000000000000000000100000000", "00000000000000000000000000000000000000000000000000", "00100000000000000000000000000000000000101000000000", "00000000100000000000000000100000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000001000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000"}

Returns: {"01111111111011111111111111111111111111111111111111", "10111111111111111111111111111111111111111111111111", "11011111101111110111111111111111111111111111011111", "11101111111111111111111111111111111111111111111111", "11110011111111101111111111110111111111111011111111", "11110011111111111111111111111111111111111011111111", "11111101111111111111111111111111111111111111111111", "11111110111110111111111111111111111111111111111110", "11111111011111111111111111111111111101111111101111", "11011111101111111111111111111111111101010111111111", "11111111110011111111111111111111111111111111111101", "01111111110011111110111111111111111011111111111111", "11111111111100111111111111111111101111111111111111", "11111110111100111111111111101111101111111111111111", "11111111111111011111111111111111111111111111111111", "11110111111111101111111111111111111111111101111111", "11011111111111110111111011111111111111111111111111", "11111111111111111011111111111111111111111111111111", "11111111111111111101111111011101111111101111111111", "11111111111011111110111111111111111111111111111111", "11111111111111111111011111111111111111111111111111", "11111111111111111111100111111111111111111111111111", "11111111111111111111100111111111111111111101111111", "11111111111111110111111011111111111110111111111111", "11111111111111111111111101111011111111111111111111", "11111111111111111111111110101111111111111111111111", "11111111111111111101111111011111111111111111101111", "11111111111110111111111110101111111111111111111111", "11110111111111111111111111110111111111111111111111", "11111111111111111111111101111011111011111111111111", "11111111111111111101111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111100111111111111111111101111111111111111", "11111111111111111111111111111111110111111111111111", "11111111111011111111111111111011111011111111111111", "11111111001111111111111111111111111101111111111111", "11111111111111111111111011111111111110111111111111", "11111111101111111111111111111111111111010111011111", "11111111111111111101111111111111111111101111111111", "11111111101111111111111111111111111111010111011111", "11110011111111111111111111111111111111111001111111", "11111111111111101111110111111111111111111001111111", "11111111111111111111111111111111111111111110111111", "11011111111111111111111111111111111111010111011111", "11111111011111111111111111011111111111111111101111", "11111111111111111111111111111111111111111111110111", "11111111111111111111111111111111111111111111111011", "11111111110111111111111111111111111111111111111101", "11111110111111111111111111111111111111111111111110" }
{"00000000010000000000000000000010000000000000000100", "00000000000000000000010000000000000000010000000000", "00000000000000000000000000000000000100000000000000", "00000000000000000100000000000000000000000000000000", "00000000000000000001000000000000000000000100000000", "00000000000000000000001000000000100000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000010000001000000000000000000000", "00000000000000000000010000000000000000000000000000", "00010000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00001000000000000000100000010000000000000100000000", "00000000000000000001000000000000000000000001000000", "01000000000000011000000000000000000000000000000000", "00000100000000000000000000000000000000000010000000", "00000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000000000100", "00000000000000000000000000100000000000000000000000", "00000000000000000000000001001000000000000000000000", "00000000000000000001000000000000000100000000000000", "00000000000000010000000000100000000000000000000000", "00000000000000000000000000000000000000000000010000", "10000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000001", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000010000000000000000000000000000000000000", "00100000000000000000000000010000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "00000000000001000000000100000000000000000000001000", "00001000000000000001000000000000000000000000000000", "00000000000000000000001000000000000000000000000000", "00000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000100000000000000000000", "00000000000000000000000000000000000000001000000000", "10000000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000"}

Returns: {"01111111101111111111111111111101111111111111111011", "10111111111111111111101111111111111111101111111111", "11011111111111111111111111111111111011111111111111", "11101111111111111011111111111111111111111111111111", "11110111111111111110111111111111111111111011111111", "11111011111111111111110111111111011111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "01111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111111111101111111111111111111110111111111111111", "11111111111110111111111111111111111111110111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111101111110111111111111111111111", "11111111111111110111101111111111111111111111111111", "11101111111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11110111111111111110011111101111111111111011111111", "11111111111111111110011111111111111111111110111111", "10111111111111100111101111111111111111111111111111", "11111011111111111111110111111111111111111101111111", "11111111111111111111111011111111111111110111111111", "11111111111111111111111101111111111111111111111011", "11111111111111111111111110011111111111111111111111", "11111111111111111111111110010111111111111111111111", "11111111111111111110111111101111111011111111111111", "11111111111111101111111111010111111111111111111111", "11111111111111111111111111111011111111111111101111", "01111111111111111111111111111101111111111111111111", "11111111111111111111111111111110111111111111111110", "11111011111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "11111111111101111111111111111111110111111111111111", "11011111111111111111111111101111111011111111111111", "11111111111111111111111111111111111101111111111111", "11111111111111111111111111111111111110111111111111", "11111111111111111111111111111111111111011111111111", "10111111111111111111111111111111111111101111111111", "11111111111110111111111011111111111111110111110111", "11110111111111111110111111111111111111111011111111", "11111111111111111111110111111111111111111101111111", "11111111111111111111011111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111011111111111111101111", "11111111111111111111111111111111111111110111110111", "01111111111111111111111101111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111110111111111111111110" }
{"00000000000000000000000000000000000000000000100000", "00000000000000000000000000000000000000000000000000", "00000000000000001000010000000000100000000000000000", "00000000000000000000000000000000100000000000000000", "00000000000000000000100000000000000000000000000100", "00000000000000000100000000001000000000000000000000", "00000000000000010000000010000000000000000000000000", "00000000000010000000000000000000000000000000000000", "00000000000000000000000000000000000000000000001000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000001000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000010000", "00000000000000000000000000000000000000000000000000", "00000010000000000000100000000010000000000000000000", "00100000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00001000000000010000000010000000000000000000000000", "00100000000000000000000000000000100000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000010000000000000100000000000000000000000000100", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000001000000", "00000000000000000000000000000000000000000000000000", "00000100000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000010000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00110000000000000000010000000000000000000000000000", "00000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000010000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000001000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000010010000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000000100000000000000000000000", "10000000000000000000000000000000000000000000000000", "00000000000001000000000000000000000000000000000000", "00000000100000000000000000000000000000000000000000", "00001000000000000000000010000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000"}

Returns: {"01111111111111111111111111111111111111111111011111", "10111111111111111111111111111111111111111111111111", "11011111111111110111101111111111011111111111111111", "11101111111111111111111111111111011111111111111111", "11110111111111111111011111111111111111111111111011", "11111011111111111011111111110111111111111111111111", "11111101111111101111111101111111111111111111111111", "11111110111101111111111111111111111111111111111111", "11111111011111111111111111111111111111111111110111", "11111111101111111111111111111111111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111111111111111111111111111111111", "11111110111101111111111111111111111111111111111111", "11111111111110111111111111111111111111111111101111", "11111111111111011111111111111111111111111111111111", "11111101111111101111011111111101111111111111111111", "11011111111111110111111111111111111111111111111111", "11111011111111111011111111111111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111111111111111111111111111111", "11110111111111101111011101111111111111111111111111", "11011111111111111111101111111111011111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111111111111", "11111101111111111111011101111111111111111111111011", "11111111111111111111111110111111111111111111111111", "11111111111111111111111111011111111111111110111111", "11111111111111111111111111101111111111111111111111", "11111011111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111101111111111111101111111111111111111", "11111111111111111111111111111110111111111111111111", "11001111111111111111101111111111011111111111111111", "11111111111111111111111111111111101111110111111111", "11111111111111111111111111111111110111101111111111", "11111111111111111111111111111111111011111111111111", "11111111111111111111111111111111111101110111111111", "11111111111111111111111111111111111110111101111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111110111101111111111", "11111111111111111111111111111111101101110111111111", "11111111111111111111111111111111111111111011111111", "11111111111111111111111111111111111110111101111111", "11111111111111111111111111011111111111111110111111", "01111111111111111111111111111111111111111111011111", "11111111111110111111111111111111111111111111101111", "11111111011111111111111111111111111111111111110111", "11110111111111111111111101111111111111111111111011", "11111111111111111111111111111111111111111111111101", "11111111111111111111111111111111111111111111111110" }
{"00000000000000000000000000000000001000000000000010", "00000000000000000000000000000000000000000000000100", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000001000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000100000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000010000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000100000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000010000000000000000000000000", "00000000000100000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000010000000", "00000000000000000001000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000100000000000000000000000000000000", "00000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000010000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "10000000000000000000000000010000000000000000000010", "00000000000000000000000000000000000000000000000000", "00001000000001000000000000000000000000000000000000", "00000000000000000000000000000000000000000100000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000001000000000000", "00000000000000000000000100000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "00000000000000000000000000000000000000000000000000", "01000000000000000000000000000000000000000000000000", "10000000000000000000000000000000001000000000000000", "00000000000000000000000000000000000000000000000000"}

Returns: {"01111111111111111111111111111111110111111111111101", "10111111111111111111111111111111111111111111111011", "11011111111111111111111111111111111111111111111111", "11101111111111111111111111111111111111111111111111", "11110111111111111111111111111111111101111111111111", "11111011111111111111111111111111111111111111111111", "11111101111111111111111111111111111111111111111111", "11111110111111111111111111111111111111111111111111", "11111111011111111111111111111111111111111111111111", "11111111101111111111111111111110111111111111111111", "11111111110111111111111111111111111111111111111111", "11111111111011111111011111111111111111111111111111", "11111111111101111111111111111111111111111111111111", "11111111111110111111111111111111111101111111111111", "11111111111111011111111111111111111111111111111111", "11111111111111101111111111111111111111111111111111", "11111111111111110111111111111111111111111111111111", "11111111111111111011111111011111111111111111111111", "11111111111111111101111111111111111111111111111111", "11111111111111111110111101111111111111111111111111", "11111111111011111111011111111111111111111111111111", "11111111111111111111101111111111111111111111111111", "11111111111111111111110111111111111111111111111111", "11111111111111111111111011111111111111111101111111", "11111111111111111110111101111111111111111111111111", "11111111111111111111111110111111111111111111111111", "11111111111111111011111111011111111111111111111111", "11111111111111111111111111101111110111111111111111", "11111111111111111111111111110111111111111111111111", "11111111111111111111111111111011111111111111111111", "11111111111111111111111111111101111111111111111111", "11111111101111111111111111111110111111111111111111", "11111111111111111111111111111111011111111111111111", "11111111111111111111111111111111101111111111111111", "01111111111111111111111111101111110111111111111101", "11111111111111111111111111111111111011111111111111", "11110111111110111111111111111111111101111111111111", "11111111111111111111111111111111111110111011111111", "11111111111111111111111111111111111111011111111111", "11111111111111111111111111111111111111101111111111", "11111111111111111111111111111111111111110111111111", "11111111111111111111111111111111111110111011111111", "11111111111111111111111011111111111111111101111111", "11111111111111111111111111111111111111111110111111", "11111111111111111111111111111111111111111111011111", "11111111111111111111111111111111111111111111101111", "11111111111111111111111111111111111111111111110111", "10111111111111111111111111111111111111111111111011", "01111111111111111111111111111111110111111111111101", "11111111111111111111111111111111111111111111111110" }
{"0" }

Returns: {"0" }
{"0000", "0010", "0101", "0010" }

Returns: {"0111", "1001", "1000", "1100" }
{"0100", "1010", "0100", "0000" }

Returns: {"0011", "0001", "1001", "1110" }

Statistics

Problem Statement for "ChangeDistances"

Problem Statement

Definition

Notes

Constraints

Examples