TopCoder Statistics - Problem Statement

Problem Statement

There is a fixed integer n. All graphs in this problem are undirected unweighted graphs on n vertices. The vertices in each graph are numbered 0 through n-1. Additionally, all graphs are simple, i.e., they do not contain self-loops and multiple edges between the same two vertices.

Given a sequence X of such graphs, the xor of that sequence is again a graph on our n vertices. We will denote this graph XOR(X). For each u and v, vertices u and v are connected by an edge in XOR(X) if and only if the number of graphs in X that contain the edge uv is odd. (In other words, the xor of two graphs is a graph that contains the edge uv if and only if exactly one of those two graphs contains the edge uv. We then extend this definition to a xor of arbitrarily many graphs in exactly the same way that is used to extend the bitwise xor to arbitrarily many integers.)

Given a graph, we can convert it into a string using the following pseudocode:

string(G):
    for u = 0 .. n-1:
        for v = u+1 .. n-1:
            if G contains the edge uv: print 1
            else: print 0

You are given a String[] S that describes a sequence S of n-vertex graphs. Each element of S is the string representation of one of those graphs.

We want to erase some (possibly none, possibly all) graphs from S. Our goal is to produce a sequence T such that XOR(T) is a connected graph. Return the number of ways in which we can do that. (Two ways are considered distinct if the sets of indices of erased graphs differ.)

Note that all n vertices of the graph XOR(T) have to be in the same connected component - there must not be any isolated vertices.

Definition

Class:: Gxor
Method:: countsubs
Parameters:: String[]
Returns:: long
Method signature:: long countsubs(String[] S)
(be sure your method is public)

Constraints

S will contain between 1 and 50 elements, inclusive.
Each element in S will contain exactly n * (n - 1) / 2 characters.
n will be between 2 and 9, inclusive.
Each character in S will be either '0' or '1'.

Examples

{"1","1","0"}

Returns: 4

This S contains three 2-vertex graphs. Two of them contain the edge 0-1, one doesn't. In order to have a connected XOR(T) we have to erase exactly one of the first two graphs, and we may or may not erase the last graph.
{"011001"}

Returns: 0
{"111011"}

Returns: 1
{"110","011","101"}

Returns: 6
{"000","001","010"}

Returns: 2
{"111110","100000","100101","010101"}

Returns: 11
{"110010000000111110101001001001101010", "101011011000101001111110010000000001", "010001101100000010010110000001100010", "101100011110001011101000100010001111", "111010000010010101010111001000000100", "101100001101011101101011011001000010", "111111010000000000110000010101100100"}

Returns: 121
{"000000100000100110001000110001001000","010100001000000000000001001010000000", "101000100010000100000000010000000010","110001101110110000010000000001000101", "000001000000010000000110001010100101","100100010001010000000000000010000010", "111001000000111111001001011001010000","100001100000110001011110000001010001", "111000000001100100000000000011100000","111010110000011000100000000001101000", "001000100000001010001001001000011001","110111001101000100000101000100100100", "100111000010100110001100101101000001","000010100000110111000000000100100000", "000100001010000000010010000000100100","001100000010010000000100100001100000", "001000100100000100001000000100010001","011010000110001000000001010011001100", "000100011111100000000010010010110000","000001010101001010011111100000000110", "000010000010001010100100010001100000","010001011000000000000100000110000001", "010000000100100000000000000000011000","100101001000001100000100001000000001", "100010000000000000000001000000010000","101010000010001001011011000000000100", "000010000000011010111000010111100100","010001101111000100100101110000100000", "000110010000000100000000000010000010","111000001000000010010000011100000100", "000010101100100100010100000000000000","110010001000100100010000000000000000", "011000100000000100110101101100100001","000100000011001110100000001100111010", "000110001101100010100000000000010000","000110010010011001010010100110001001", "110001100000010000000000100100010110","001110011000110000100110000011001000", "000001000100000110011100000100000101","100001000000010000100000101001101100", "011010110000011000110011111101011110","010001100010101100000101000000010001", "011011000101000001101110100011110110","101000001100010010001100011000000010", "001111000011100001110000010010010001","010000001010010000010000101000110000", "001101100001000101000100010011001110","001010110110101000010100101101010101", "000100010111110010010100101000100101","100010000000010101111010010000110001"}

Returns: 1086198432923648
{"010","001","111"}

Returns: 4
{"001000010100101","100001101011101"}

Returns: 3
{"101101","100100","011011"}

Returns: 4
{"110100","000001","101100","000101"}

Returns: 7
{"1001000100","0011100010","0111100110","0011101111"}

Returns: 9
{"0100110010","1101001101"}

Returns: 3
{"100111"}

Returns: 1
{"111101111001001"}

Returns: 1
{"1010111110","0011010001","0001110100"}

Returns: 5
{"110001101000011"}

Returns: 1
{"0110000001","1011011010","0100110111","1010111011"}

Returns: 13
{"000000","101000","111001","100010"}

Returns: 6
{"001000001111111010100100100110101011","101101101110100111111001000000000101","000110110000001001011000111110001010","110001111000101110100010001111111111","101000001001010101011100100001010010","110000110101110110101101100100011011","111101000000011011000001010110010001","000011100010011110011000111011110101","001100101101001101101001111011110111","100100100101011111000110100010001110","100101100011010000110101100000011011","011010010011011110101110111100000010","100011100110001011000010011000100100","010101100100111011101000101111000000","111110000101010100111001101010111000","101010100011000101111100101011111110","011000001101111110101001111110001100","111010010100101111001100010101100010"}

Returns: 252892
{"110010110110100011010111100110111110","101111100101001010001101110101100011","100001111001001011100010111010100011","000101111101110110111111000010000011","000101101011001110010011111001001100","000011010011100100000001110111100000","110000101010001110000001101011011001","000111010111110011010010100111111100","101111010000100001111100101001101011","000011011111010100110001101011000001","100010101101011011000011100001000100","010010101000101101001000010000111001","000001000011010101010011010001011010","000001011111100010101011010110101010","001111101100001101000000100111111111","001100101011110001000001000110000100","010111110010100100010101100010100010","100011101010100001000100111010010101","011011010101111001010011111100001011","000101111111000001001010100000010111","011000011010111100100000100101100001","000010100111111000110110001100100111","100101000111011001011111010000010111","000010110100011100110001010001010000","100100101101110000101011110011011001","100111001000111001100111110001100110","011111000011101101110010010001111110","110001100010001101110110010111100100","100101101010000111110111100111101101","100110110010110100001001001010101100","000100110100111100111001010101011110","100010010011111011111011100111010001","100011010100111111011001001110100010","101000100000010001101001101010101100","101010000010001111101111110111101100","001100101101001010001110111010011010","111001111110110110000100110011101111","111101100111101000011000100110010110","001110010111100010001101000101100111","101010111101011000110010011100011101","111111011100111110000110111011010110","111000010010011010100001111110110111","010100010110110110110101011110100011","110101011001010010100001101001000111","110100111001010100100010110101111001","011100100001010100001001111000000110"}

Returns: 67887402057728
{"1001111011100110000110100110","1101110010110011110101011110","1110111001111111010001010010","0001101101000001110001110101","1010111101001010111111010111","1010110100101001010100110101","0010111000101100000110111110","0011001001001001011101011011","0110011000010110101010101011","0111101101101001001001110100","1001010111010100010011100110","1011111011011110110011101000","0110001010110011011110000111","0000001010010110000010001000","0011001001000100011011001000","1010111101010111000110111010","1010100011011001111101100101","0101011001101011101000100101"}

Returns: 245628
{"101101100000101101000","011100011011011000100","100001010001011111100","011000010100011010101","111001101110110101111","110111001110011110011","101111100010010001100","001111110001001010000","010110111001101100000","011101101011110110111","010010011110010100101","000010100011011111011","010100010111001110000","000101111011110011110","101100110000001100001","101000001110011000001","111010110100111011101","010011011001111000011","111110010110001101000","001010111101111011001","010000110110011000111","001010100110011110100","011011100101000101010","100111000011011011101","110111000110111111111","000000011010010010110","011110101110110110000","010000011000110110110","111011000010110010101","111000111100010101001","101101010101100101011","000100101110010100110","011101101100011100001","110010010000100110010","111111000011001000000","100101110100011111100","011011100110111001110","110100101000111001110","100111110011000010101","111000100011111001100","001100000011010001100","110111011001100101000"}

Returns: 3913822502912
{"0101111010011010110110110011","0001010001011101100110001011","0000010000101000101010001010","1011000010110000101000010011","0001000010010111000101101111","1101011010011000100101111110","0001111111000011011011010101","1001110011000010000111101000","0001000001101111110101001100","1001011010101010100111000000","0010010100100000001000011000","1100110010111010011111111001","1101110011100100011100000101","0010000010000011111100110101","1101001111000001111110011101","1011001000011010011011111111","1011000010000011010100010011","0001111010100010110000101101","0111001000001000001000110100","1100001101011000110100011110","1111000111011011011111110001","0100001001000010110100101000","1001001111011000010110100010","0011000000000101111011111101","0110110011011111100000011000","0011111111001111011100110110","1101111011111010011011011011","1101010100110001101110010101","1100000100011000100010001010","0000111101100000110100110010","0100010001000010110011111001","1110100100000110000011000001","0001000010101110010101111110","1011001001010110000101001111","0001010000100011101111101110","0100001111000010000001101000","0110010110011000101111010001","1110110100100000110000100011","0101110010010000001110011010","1110001000110001001100110000","1100010011010001101110011110","1001011100101011010111010001","1111101110000000110111010110","1000010100001010111101001010","1001100011010111010110111011","1011110001011011000010001110"}

Returns: 65941954101248
{"1010100111111000011100100001","1011100010101111111111011001","0000110111111111110101110110","1100010100100100000011100100","0000100100000000010101010010","0011000110100011110010001100","0011111000011001110110000000","1111111011000010000000111111","1110100001110101000101111101","1011100001011101010001100011","0100111101110010111000111000","0010001010110111101000011101","0100000110111010010011110000","0100100011011101011000101101","0001011100001000101011000111","0100010000101110111011101000","1101100000111110100011110001","0111111011111001000110111011","0101010100001111101000001000","0001111101001000000101111100","1101000101110010000010111100"}

Returns: 1965218
{"101111111010100001010","010010110011111100100","010111001010001101111","111010010100011101010","000101110111011011010","011111111101000011011","010100000011110111101","110001111010011100110","111000111101110001100","010011101010111110010","011110011100000100101"}

Returns: 1826
{"1010001111000110001100001001","1011001001000011011001010110","1010000001001000111011001110","0101100011011000101010111110","1110000011111011110001010001","0010001100010101110001011110","1111001001011001000110110010","0011111111001111111011000011","1010001001000000011001011001","0110001100110111111011011001","0100110110010100001110010110","0110011010110000010110101010","1111001111110100111000011100","0010001101000010010000010001","1010101111010100111010101011","0010111100110010100001111001","0110010010000011111110001100","0010111011011011000000101011","0011101110001000101100000011","1110110100100011000010111000","1101010100111101101000101001","1011010110111111011010111011","1011001101111011100010011000","1011001010010000100100111100","0000011001110100100010001010","1101010001011001001011100000","1110101001100111110011001001","0100000100001001000000000001","1111011100100100110001110011","1011001101010010110111010011","1101010001001100110111111011","0100010011110111010110100000","1011001011000001101010101110","0011101101101111011110111001","1011111100101011011101101101","0010100101110011110010110000","1101101011101101000011100100","1011010100101110101101101111","0011110000000100110110111001","0111111000000101011011110110"}

Returns: 1030343032832
{"1001110011000110101010000011","0100100000110111100100011100","1001011101001011110100010010","1101110101111011100110100110","0011001011010101111011010011","0000010101111000011011110111","1110010001100100111111010110","1110111111101101001001100111","1110001010111101100010100101","1001101100010010011110010001","0101111011100000111110000001","1010011000011011110111101101","0010100000001110001001000011","0010111100101111000100000000","1101010000101101001000011001","0100110000111011001010100110","0011110011110111110101010011","0100011101000110100111100000","0011110010011110110101011010","0111111010100001101010010011","1010010100111011101011111110","0110111010010100101100110000","0100101010001010010101000010","1001001001110001101111011101"}

Returns: 15721862
{"111110001110000010010101011000101111","001110100100011101011111010110110101","110001000010001011010111100111001001","000101111101101100011101010001010010","100010011000000110111111101010001011","110001000010000001110011101100001111","010110000001101101011000100010010110","110001110100111011000011100000001101","001010111001001111100011010100111010","011001010000011000000100011110101011","000010011000011001001010110111011111","110001000101001110101111011111010010","111110000110010100110110010010011100","110011001101011011001101100101100011","101101010000111001010010011001000011","111101100011101010011110111000011101","010100110000000111000100110000000001","010011001101011010101001011101110011","000100110111111001011100101011111110","110111100111001000010110100010001000","111011000110100111011010000101011001","001100000111100010110101111011110101","111101000110001101011010111110110011","100100000001011000101010011111011000","111000100000000011011000000001111110","001000001111101010110000011100001111","110111101101001000000011100010011111","100101001110011110000110010111010001","001110001101111000100001111101001000","101010011011001010110110010111110010","010010110100010010110011000001010000","110001000101000000000011001011111100","000011001010010111110110111011010100","011111100100110100101110110111011111","001010100000000011111100101000101100","101011000110000001110001110001101011","000101111110000111110011010101111110","010001101111001111101101000001000111"}

Returns: 265185164288
{"101001110110101100110","011100001011001010000","010100111001010010111","000001000001111100000","111100111111101001101","011100100111110100011","011000111001010100001","110000001001011010010","010110000001110100101","000001010101100110111","110011001001001000011","010101101000001111000","111011100110101101000","010010000110110110100","101010110001011100010","001111110110000111010","111000110010101100111","110111000010101001100","001101110011001010101","110011111111101111010","010111101110111001111","100100111111010111011","000010111101110000000","110110010010011000110","000001001111000001101","011001001111101111010","111100010010100110011","000110000011101110101","100000100011010101101","000010111100110000100","010000011101011111011","101011000110001111101","100000111100010011010","110101101001101011111","001100110011110111001","110001010011100011100","100000001010100000101","001010101011000010100","010001101001110011100","100110100010100011010","011110011101111111010","110000101000001111110","010100100111110001100","111101010101111111000","011011101111000100000","110110111000011011010","101100110000110011000"}

Returns: 125242320093184
{"1111011000110111010000111001","0000010110010010000101001011","0111011101001011111111100011","0101001101110001011001001111","0010001001110100011010011010","1011000110110100001010100001","0110001010110111000000011000","0101001101110100001010110110","1101000000000101101111111100","0011011001010001110111101011","0110001000001011101110101010","1101000001010000011000110001","1110001000011001111000011110","1011001111010111011011111111","1001000010100011111000100110","1111110110010111000101101101","0110100111110001111101000100","1010111001011010000110100010","1100110111010111000110001000","1010111001110100001111100101","0110111111100000011110001110","0101111111000001010111011100","1000011100000100111111111000","1110110100001010001000110011","0100011110000010100110110001","1000001001000000010010110001","0100010100011110100000011011","0001010101011101011000100010","0001001000010110010001010001","1110100010111001100110110101","0110001000111001011010110010","1101001001110001000101111001","0000110101101011010110001110","0000000101001101110101111110","1110001101011100100010110110","1110001010111011101100000101","1100110001010010011000010100","1010001110111000011110001111","0100110101101001111011001101","1101101101100000111101000100","1000001110100011000011100111","0011100111110100001101110000","1100000001011100000011101111","1100100101101111000101011111","0110100000110101010011110110","1001110001011101100011110011","0111000111001011111001011000","0111110100101110011100010011","1100000111101001110000001000","1010001101101000011100100111"}

Returns: 1055071265619968
{"100101001010000010010","010000001000110010101","101000110101000111001","110111010111111000111","001011111101011001111","100001100100111011010"}

Returns: 56
{"0110101000100001010001111000","1101110100110101011000100100","0001110110001100101100000010","0110010111101100100100000100","1001110011101001101100001010","1100011100101010011010100010","0100001110101011111010000110","1111000011100000001010000101"}

Returns: 239
{"001011000101010011011","110001001010110000011","100110101000011010100","001011001111011110010","111100010001111001000","100100111100001000111","111100110110000111101","100100000011011101001","100100010111001010000","110111111011000101100","010001100001110100100","010100101011111000110","001011000001111001101","001111111011101010010","011101001001101001100","000000100000110100010","110100110010111111110","001100001011010010011","101101001101101101110","111110101110111100000","000011100010111101010","000110111111100101011","000010110101000000010","101100110101100110001","000110000010101110111","000000111100100010010","110010111000000101101","000011101011001010000","011011101101011010000","000011111011000010111","001000100011011000001","001111111010011100100","001001101101010011001","111100000001110100000","000100110100110110111","110010010001001100100"}

Returns: 61153476608
{"011111110011110000111010100101110100","010100100100101000101111010100110101","100111001110001101010100110100111100","001011001101000001101111011010000100","110111011110110101001101001111111101","110111010011001001001011110100010100","010110110100001000100001011011111010","001100101011110001111100010010000111","001110110000011001100111010110011111","010010011000101010100010101111010000","101101110110111111011001110010011011","110000001010010111011010101101010101","100110010110110010001111111100010011","111110110100010000110111111111011100","111011110011001011111111000101100000","010101011101000111000010101110111010","010100100101110110000011010001000110","100101100011000110001011100110000001","010000111110001011011101110101010100","111101000001011011000110110110110000","000111101100101111011100100110101110","111111111100110111100100010111111010","100101001010100100110001101000111011"}

Returns: 8092766
{"1001110001000101101001000010","0010111110000011001100101010","1110100110110111001111100100","1101001100110110110001011001","1101001100100000110110101001","1101000101011110000100010111","0100001111000000000000000111","0000110011001001101101111001","0011000111011010111111111101","0001001011011110000010101110","0011110101111100110001110110","0011011111011011100000110010","1110001010010111010100011101","1000011000000000100001100010","0001110001011111010110101001","0001001111111000110010010100","1110011001100010001011100101","1001001011000101001001101100","1011101001000111001100011110","0101111001101001111010111110","0001111110111010110011100100","1100000101111111011101001010","0101011011110110101100110100","1011111011111001101100000101","0111101111001100011000010101","0011101010010100110000010001","1111110100111100010101001101","0110100110101111111111100001","1011010110011101011110001100","1011011100111100011000001001","0100001100100010010110110101","1110010101001001010111010111","1010101101111111100100011101","1110100110111011000100111101","0000011100111110000100101110","0100011110010000001111011111","1101000110100001100111101100","0000101111111100001010111001","0011010010111010000001010001","0111001011011001100101011111","0000000110001010000001101111","1100100100110001111011111011","1000110101001101110000000101","0101110011000100100000111111","0101110100010001000110100111","1101011000111010100100100110","0001001101111011010100010101","1111010001001100010010010001"}

Returns: 263767816404992
{"0100101011010101101100111111","1100111000000010101001000011","1001000101101010001111101010","1000110010101011110010111011","1110000111100010000101011101","0110111011101101010000010101","1100011111001011010010001001","1010100010001100010000101010","1101110010100111000000010011","1011000101110110101100000001","0110110010010100000001001100","0111001111011010000111110010","1000000110100101001011010110","1110111100101111111001001101","0010110000111010110001001111","0011100011100100011111011011","0111110110001000111011111101","0101010001110110000010110110","0010100000101111110100101101","1100010111001111101000011100","1010101011111111000001111110","0001100100001100101000100100","1000101100010001101011010111","0010000101001100010001000100","1000010110110000000111010111","0111110111110100110110101110","1011101001001110101111011001","0101111101011111001010101000","0000101010011100000011000011","0110011000100101001011110100","1010010010111011001101011001","1011010111100010011111010001","0010111010100011000000011101","0100111110011001101001010001","1001010001011000000000111000","0011101101111100111101011100","0110011111100111100010100001","1010111001100000110001001000","0110010000111110101000000111","0110011000001001001100111000","0001101010110101100111001100","0000001101111101100101110111","0110000100111111100110001101","1100101110101011000010000110","1001000101001000010101001000","1001110100001000101010010111","0010010110110000000111000011","0110010010011011011010101101"}

Returns: 263767816404992
{"010011011010011101000001010110000000","110110000011101111000011111100101101","100011111010010110000101001001101000","001000010001111010100100111110011110","111000001001100101110101111110111100","111101100011001001110111110000010110","011100100100000101001111111011000011","111011000110101110111110011010100110","000000110001010100100000111111110100","101101100000111101111100010110000110","101110010010001101010101010101101000","110001001101001001111011001111001100","000100110001011111000011100111110110","110010110011101000011110010010011111","100111011100101110101011100100110001","100001100100010011111110100110000010","000110101011001100101101101001100101","111101010000100101001001011111011000","111110010100101011011001100011000001","110011111000010010001001000101010000","101001001111101000111011111011001011","010100000011010100011011111100011110","001001000100001110101010001101011100","001111100100010110000000100100100111","111001110101011011110110101010000100","000111100101111000111110010011001011","000100100011110010101000111101001010","101110010110111111011110001100011101","101001100010000111111100100111111011","110111011010010011001011110010110000","101111111000010010110111110100100110","011000110111101111111110010000101010","010011101110010110000110010110101110"}

Returns: 8287037296
{"101100011110100001111111010000011011","000000110010001011110000010010001101","101001001011111110111000011000101010","110000011001001010100101101000011111","010111100011110011110011011010100000","100101101011111001010011000101100100","011100011011110001000100011010010010","000001101100010110100111010101011101","000010111000011010011111010000101011","011110111100010101011001100011100101","100101010111011010100011100111011000","100111010000000000001100001110111110","000010010011010111001011001111001100","010101010100011100010110111100000110","001000011100100111001001000000000000","011001111011010110001001111110110110","100101100111000011010001010110111010","000110011100000010011011010000000100","111100101000000101011001011010000100","100110011001010100011001101101100000","000010111001111000110101001011110100","100110111000000110101110111001011011","011110101101010110101110000011111101","100010001000000111010111101011111101","011010001011111011000110001111011111","000101010001101111110100010100010010","100001010010100010100111101100011010","101010111011001111011111011000010100","001101100001001111111111000111011100","111111100111111011100110101010011111","101011101010001011000101100111100001","111001111101000100111010100110101100","001101110110011111101110001111001010","110101110011001010001100100110101011","101001100101010010001011111100110001","110111011100000100100010001100101111","100101001011111100010100101101011001","111101001110101010001100100110110101","100110001011100101011000110100111010","011111000010100101001111000100101010","000101111110000110111000101110011000","111001111011011101000100100010111111"}

Returns: 4242962628608
{"100100000111111101010010010011010101","110110110111010011111100100000000010","100011011000000100101100011111000101","011000111100010111010001000111111111","110100000100101010101110010000101001","011000011010111011010110110010001101","111110100000001101100000101011001000","100001110001001111001100011101111010","100110010110100110110100111101111011","110010010010101111100011010001000111","010010110001101000011010110000001101","101101001001101111010111011110000001","010001110011000101100001001100010010","001010110010011101110100010111100000","011111000010101010011100110101011100","010101010001100010111110010101111111","001100000110111111010100111111000110","011101001010010111100110001010110001","001110010110110100011010111100110111","110101111100101001010001101110101100","011100001111001001011100010111010100","011000101111101110110111111000010000","011000101101011001110010011111001001","100000011010011100100000001110111100","000110000101010001110000001101011011","001000111010111110011010010100111111","100101111010000100001111100101001101","011000011011111010100110001101011000","001100010101101011011000011100001000","100010010101000101101001000010000111","001000001000011010101010011010001011","010000001011111100010101011010110101","010001111101100001101000000100111111","111001100101011110001000001000110000","100010111110010100100010101100010100","010100011101010100001000100111010010","101011011010101111001010011111100001","011000101111111000001001010100000010","111011000011010111100100000100101100","001000010100111111000110110001100100","111100101000111011001011111010000010","111000010110100011100110001010001010","000100100101101110000101011110011011","001100111001000111001100111110001100","110011111000011101101110010010001111","110110001100010001101110110010111100","100100101101010000111110111100111101","101100110110010110100001001001010101","100000100110100111100111001010101011","110100010010011111011111011100111010"}

Returns: 1086198432923648
{"0110001101010011111101100100","1110100010101000100000010001","1010011010101011001010100000","1000111110111111011110110000","1100101101001010001110111010","0110101110011111101101100001","0011001110111111110110011110","1000011000100110010110001110","0101111000100011010001011001","1110101011110101100011001001","1100011101111111011100111110","0001101110110101101110000100","1001101010000111111011011101","0100010110110110110101011110","1000111101010110010100101000","0110100100011111010011100101","0100100010110101111001011100","1000010101000010011110000001","1001100111101110011000011010","0110110111001011001111010101","1110111011100111111101000101","0010000110110100000111000111","0101101011110100101011111101","0111101011010010100101010011","0101001011100010110000011011","1110001100100100100101110101","1011011001100001011010101010","1011011110110110100100100111","0100100101011101010001001110","0110101111101101111011001110","1000011000101011001101111000","0111000000101001011000001000","1000001100100100010001101100","1000101011110101011100011011","1010101010001101100111110110","0101010101100110101110100010","0101111011011000001011010000","1110001101101100010010000101","0001011111100011000010100011","0101011110011011101101011111","1011100111001111001110111110","0010010001100001111110001001","0100000101101110011011000000","1110110101111011011101001001","1110010100101000010100011011","1110110101000101110011100000","0010111101111001111010110011","0000001100001101000001110011","0000011110101101001110111010","1001101100111100001111111001"}

Returns: 1055071265619968
{"1100011010000010101111011110","1100101000011011001100011100","1010100110011110100011011100","1010001010101001110000110110","1110111011100011011111111100","0000011010010010110011110101","1101101100000100000110001101","1011011101100001011001010111","1000111100010101001101101010","1011001010110001001011100101","0011001110110110001110000111","0010010000100110010111111000","0110010000001001011101000111","1110001101110011011100111011","0100101000111001110100111110","0110000101011110001000111110","0110000110000001101000110011","0111011001100101000010101111","0100110101101101100110001010","0010111011001100010110000010","0001010001010100010101011000","0101100001010000100110001000","0100101110001011011111101011","0100110001001011111100001111","1110000110110110101011001110","0110000100001111010000001000","0011011111101010011001001011","0101010101001110000000010010","1001000000010000110001100110","0101110100111111110011101110","0111001000111000001010010000","0100000111111001101011101001","1110000011111100111011011001","0000110100110111111111011000","0100000110101000100110001111","0101000101100001011010111001","0000010000010001101001100001","1010110001101000111101111000","1110110110111111100010100001","0010000101101001010001001001","1110110000101101000100011000","0000001011110111111010110110","0110111111000000110000011111","1110011110111001101101101111","0111110100110110110111101010","1001100011011100101011100000","1000110001000100010100000111","1011000001101001100100100010","0010000101100111110011110100","1000001100000110000010001000"}

Returns: 1055071265619968
{"1010111001010111111010110010","0101011000010100111100010100","0010001110111110111001000011","1100001000000110100001100101","1001100010111101000111101101","0010000011000010001101011100","1001000000111001101011100010","0011000100110011000011000100","1101000110111001111010010111","0010101101011101000111111011","1000000011011101011010000101","0000101011110100101010011000","1101011101011011101110111100","0101101100001000111000101010","0111111000011100100001101110","0010101111111111011001000011","0111111111110101110110110001","0100100100000011100100000010","0100000000010101010010001100","0110100011110010001100001111","1000011001110110000000111111","1011000010000000111111111010","0001110101000101111101101110","0001011101010001100011010011","1101110010111000111000001000","1010110111101000011101010000","0110111010010011110000010010","0011011101011000101101000101","1100001000101011000111010001","0000101110111011101000110110","0000111110100011110001011111","1011111001000110111011010101","0100001111101000001000000111","1101001000000101111100110100","0101110010000010111100101011","1111101010000101001001011001","1111100100010111001010001101","1111110100101000111010100001","0111011101101101001111111110","1000011011010100000011110111","1011100011110100111001101110","0011110111000110001001110101","0111110010011110011100000100","1011110100011110001100011000","0100110110010010000110110010","1011010100000010010001110110","0111001011000110110001010101","1111011100000111110111100010","1000100100011000101011100010","1111011110010010110010001101"}

Returns: 1055071265619968
{"001000111111110011111110110000111010","001001000000011001011001011000110011","011111101101100101001101100101000011","100101100110011010110000010110101010","111100111111010011100001110000100011","010000100100000100011010101111010100","111010101011001011110011001010000111","100101100100100000111111100011000010","111011011011000000101011001110111000","100010110000001111101101001000110000","101110001101010100111101101000101001","101101011011111101101011101110110011","011110111000100110001011001010010000","100100111100000001100111010010001000","101011010100010110010010111000001110","101001100111110011001001010000010000","100100000000000111110111001001001100","011100111011001101010010110111010011","110101000100110011011111101101000100","111101110101101000001011001011000001","101010101110001110110110111101111011","100110111111001010110111011011010010","100101110011110010110000110110101110","110100001110010010110101001011101011","011011110011110000000100110110111001","011111100000010101101111011011100111","001100011010101000001101001000001101","111001000111001001011101001011110100","010010110111010111101110011010011000","110010110101011110110100110000010101","111000011011110111111001000110010011","111101011011101111111011010010011001","111110001010111101100010100101100110","110001001001111001000101011110111000","001111100000011010011000011011110111","101101001010000000111000100100001100","101111001011110001000000001101010000","101101001000011001010011000011101100","101010011000111100111101111101010100","110100011101000110100111100000001111","001001111011010101101001111110101000","011010100100111010010100111011101011","111110011011101001010010110011000001","001010100010100101010000101001001001","110001101111011101111111100011100000","100101010110001011110011101001000111","010111110101101101011100010000100010","110101111001110010010001011111011011","000111010100010100101000100110000001","101111111010100010111100010000100000"}

Returns: 1086198432923648
{"001","000","001","111","111","010","100","100","100","110","101","011","101","101","101","110","100","111"}

Returns: 131072
{"1001000000","0001010001","1011000000","1001011000","1111100010","1011000111","1000101110","1000100011","1111111110","1000001001","0101010111","0010000101","0010110000","1101011101","1010110110","0100011011","1111010000","0001101100","0001010110","0100010000","1110001001","1110011000","1110111101","0100110010","1101001101","1010011110","1111011110","0100100101","0111110001","1010001000","1110100101","1000110100","0011010110","0000011011","0110100100","1101111010","1110111100","0000101000","1110011000","1011000010","0110001001","0001010110"}

Returns: 3126736191488
{"001110111010001","011110000001111","100001010101001","110011010101110","001010101000110","001011111001010","111111100110000","011011111101010","011111100011001","110100101001011"}

Returns: 848
{"001100010101100010011100101101101000","110101111001101111101011111001010010","100011011101011000111000011110010010","111000101110101000110001011111011101","101111110000100000110001011010110011","100100111110010011000000110100111001"}

Returns: 63
{"0000011101111000001100001010","1000111000000110101101100100","0111010111110011010010100111","1111001011110100001000011111","0010100110101100001101111101","0100110001101011000001100010","1011010110110000111000010001","0001001010100010110100100001","0000111001000001000011010101","0100110100010110100000010111","1110001010101101011010101000","1111101100001101000000100111","1111110011001010111100010000","0100011000010001011111001010","0100010101100010100010100011","1010101000010001001110100101","0101101101010111100101001111","1100001011000101111111000001","0010101000000101110110000110","1011110010000010010110000100","0010100111111000110110001100","1001111001010001110110010111","1101000001011100001011010001","1100110001010001010000100100","1011011100001010111100110110","0110011100100011100110011111","0001100110011111000011101101","1100100100011111101100011000","1000110111011001011110010010","0101101010000111110111100111","1011011001101100101101000010","0100101010110000010011010011","1100111001010101011110100010","0100111110111110111001110100","0110001101010011111101100100","1110100010101000100000010001","1010011010101011001010100000","1000111110111111011110110000","1100101101001010001110111010","0110101110011111101101100001","0011001110111111110110011110","1000011000100110010110001110","0101111000100011010001011001","1110101011110101100011001001","1100011101111111011100111110"}

Returns: 32970977050624
{"011011","101101","011011","100001","001001","101010","000111","111011","011101","010001","011011","011011","010101","111010","001111","010101","100101","001010","000110","100100","011111","010011","100101","010010","001011","010111","100101","110010","000101","010000","100111","100000","011001","100111","101110","011000","011010","011011","011100"}

Returns: 326417514496
{"110","011","110","101","011","110","111","011","100","111","111","101","000","101","001","000","011","011","010","000","011","100","011","101","011","010","111","101","001","010","111","111","010"}

Returns: 4294967296
{"110101101001010010101001101010010111","000101100000110111110001100100100100","101110101101101100110000101101010101","010110111101101101001001001110100100","101011101010001001110011010111110110","111101100111010000110001010110011011","110000111000000101001011000001000100","000110010010001000110110010001010111","101010111000110111010101010001101100","111110110010101010110011010111010001","001011110110110000010110100001110001","101101100010010000101000101111110001","100001010001101010111100110111011010","111111011100111001111001110111110001","001000110000111111000100101000001011","011100110110000001110110101111011011","101001001111001010010100001010001101","111101101010001011100111000000010111","101111001111010110011000000110000110","100000111001100000111101011010011101","110101001101100111100001111111001011","000110100000101011110111101100101000","011011001100011100101010011001111010","001101110010100010101010011100001101"}

Returns: 16185570
{"111011101110001101111","111110000000110100100","101100111101011101101","100000100000110001101","101101110110000101100","101011110001111000101","010011011010101011001","010110001001011100101","001100111011011000111","000011100100100001001","100101111110000110010","000001001011101000111","111000110111001101110","011101101001010001110","011101001111100110000","101011110001000111110","011000011000000110100","011001101110110011001","010000101011110100110","101101101100110001010","001011101100110001011","000001000010100010101","000101010110000101100","001010000100110001000","010010111000101101111"}

Returns: 29860096
{"010110100110001001011","111100001111111000011","011011010101100111001","100001000011110100000","010000011011111101010","011001001011010101010","100111000000001001010","010000000100001100011","001100101110100111111","110011101110011100100","011100000101001000001","000001111110011010111","010011110000011111100","111011011001000011010","011011111111101100001","000001101010001001100","011110101000101100001","011010111001000001000","001000110100110000110","101100011010001111011","110001110110110111111","100010100001001000010"}

Returns: 3732480
{"0100101000","1001001111","0110000101","1010001000","1100000000","0101111011","1111010110","1100110111","1110000001","1000001111","1111001111","0111001101","1011011110","1111101001","1011011011","1101010100","1100011011","1001010111","0000010001","1000100010","0010100000","1111011000"}

Returns: 2981888
{"110100110010010","001000100001011","001111100111101","001000001100000","110000010001000","010101110010101","111110101100100","101011000010100","111100010100001","000111011111011","100100001111000","010000001101000","011001011001100","010111101000111","101101001000001","100001000110101","110010010000001","110011010111000","100011000100110","011000011000100","110100011011100"}

Returns: 1709056
{"110","100","101","110","010","101","101","011","101","000","111","111","011","100","000","001"}

Returns: 32768
{"111","010","110"}

Returns: 4
{"0001010000","1010111101","0010101001","1000110101","1101011011","1011101111","0001011011","0000100011","1000101010","0111111000","0111001000","0110111000","1010111111","1111011001","0000110111","1111111101","0111011011","0001010010","0100000011"}

Returns: 372736
{"010000001001000000000","101010100100011000110","100011110010001100001","111100001100111011000","000011111110110000100","000001111111110100001","110101000101111101101","110000101110101000110","001101001111011100101","110001110000010001010","110111101000011101010","000011011101001001111","000001001000110111010","110001011010001011100","001000101011000111010","001000010111011101110","100011011000001111101","000111100010111111011","111001000110111011010","101010000111110100000","100000011111010010000","001011111001101000101","110010000010111100101","011111110101000010100","100101100111111001000","101110010100011011111","110100101000111010100","001011101110110110100","111111111010000110110"}

Returns: 477761536
{"1000000111","1011110111","0001111010"}

Returns: 5
{"110011","011100","011110","111000","110001","001110","101011","111001","001111","001110","000010","010111","101000","111100","011000","110000","100110","110010","010000","110110","010101","101010","000001","001000","111011","001110","010110","001101","100010","101011"}

Returns: 637534208
{"101","110","000","011","111","011","110","001","010","001","001","000","110","001","010","111","000","101","111","011","110","010","010","110","010","001","101","100","100","011","111","111","001","111","111","011","000","011","101","000","100","100"}

Returns: 2199023255552
{"000110010110010","110001100110111","111011011001010","011011001010000","111001011001100","110101100000101","101010101111001","111110100111000","011100001000110","100001001000001","000110101011110","101001110101010","110010111100110","010100001111001","011001001000001","111111000110000","101110110110110","000001010110011","101110001000101","100000011111011","010010001100001","011100011010101","001111011010001","010011011010110","111111011010111","011101100110111","101110001001100","010110010100100","001001001111000","000011001110100","100010001010110","101000101100100","101110000011101","010011001111100","110010010100000","100001001000000","000001111101110"}

Returns: 112004694016
{"001001100011100","111011001101010","010110111010011","110101000100110","011011111101101","000100111101110","101101000001011","001011000001101","010101110001110","110110111101111","011100110111111","001010110111011","011010010100101","110011110010110","000110110101110","110100001110010","010110101001011","101011011011110","011110000000100","110110111001011","111100000010101","101111011011100","111001100011010","101000001101001","000001101111001","000111001001011","101001011110100","010010110111010","111101110011010","011000110010110","101011110110100","110000010101111","000011011110111","111001000110010","011111101011011","101111111011010","010011001111110","001010111101100","010100101100110","110001001001111"}

Returns: 896037552128
{"1000101011110111000001111100","0000110100110000110111101111","0110100101000000011100010010","0001100101111001011110001000","0000011010100001011010010000","1100101001100001110110010101","0011000111100111101111101010","1001101000111010001101001111","0000000111100100111101101010","1101001111110101000011010100","1001110100101001110111010111","1111001101110100101001011001","1000001001010100010100101010","0001010010010011100011011110","1110111111110001110000010010","1010110001011110011101001000","1110101111101011011010111000","1000010001011010111100111001","0010001011111011011000111010","1000101001010001001100000011","0111111101010001011110001000","0100000011100111011000011110","1011000000110110101100010001","0010110110001110100111011000","0111000000011010010101110010","0111110001101010011101001100","1010000011000000100011110101","0110000100110000110010010101","1011101111111000100010100111","0101111011111010010111110000","1100101001101100100100111001","1001100110101101100110110010","1100011101101010000111001010"}

Returns: 8049554944
{"0","0","1","1","0","0","1","0","0","0","0","1","1","1"}

Returns: 8192
{"101","100","011","101","010","011","110","111","000","011","101","010","100","110","000","000","111","000","100","110","000","000","001","010","011","001","101","011","010","101"}

Returns: 536870912
{"1011101110011000100110111111","0010111001010111111101101111","0011100100001011010001000100","0111011000110100111011010000","1010110010011000001111000101","1010111101111010111110100011","0001101011010111110110011100","1000000010110001010100111110","1100011100010000000001101100","0000001111110001000001111101","0101100000111000011111101111","0110100100000001110001001111","1100101001110011110000110010","1110100010011100011011110001","0000111110100100010101001101","1001010110110010111110010010","0101101000100101100110000010","1000011000100010100000000001","1001011111100000011001010010","1111101101110110101000111111","0010011010010111011011101111","1001010100000000011111100101","0001011001010110001100000011","1000111000110101100010111111","0000111110011010101111110010","0011011110011111011010000010","0011110101001110110101100110","0111000010110010100000101001","1100101001011100000100000111","1100000111100111111101001101","0111001001111101000110110001","1100101010000111000000100101","1010010010110000001110100101"}

Returns: 8049554944
{"0001010101100110111110011001","0010010000110101011010000011","1100011101110011010110100001","0010000110110110100101010110","0010111000100011111101100001","1101011100011001010110011111","0111000010101001100001101110","0110010101011100111111111011","1101001011110111011100111110","0100111111010111011000010111","1011100000001101100100100110","0011000000100111100000110101","1001001111101111010111100010","0101001100110001100000111011","1010110000010001101010110100"}

Returns: 30681
{"101111","001100","001000"}

Returns: 4
{"000","011","101","011","111","011","101","011","000","110","001","111","101","100","000","111","100","010","011","010","110","101","101","001","101","011","111","001","100","110","011","110","111","001","110"}

Returns: 17179869184
{"101001","110001","110010","000000","101010","000010","100101"}

Returns: 80
{"010110000101000","100011010011100","111001001101000","101000110100111","100111011111110","101100001010000","011111100101001","001111100011001","111010101011111","110000110111011","110001000001101","101110000110110","101011001100001","100110000111110","110001101110100","001110010000010","110010010000101","001011011101110","100101111111110","001101010011011","100010110010011","110010001001110","100011010011010","101100011011010","000101010000101","100010101101110","000000110000101","001101110100001","010110110110100","000000010110111","111110000110110","010100011101111","010110110001000","001011101110101","010110100000101","000001100011000","111100010000110","011110000111101","011001111010111","011011111111100","100001010001111","100010011011111","101100101110001","011011010110100","111110001111101","000100101011100","101101000011010","001011001101110","101110001100010","001010111001110"}

Returns: 917542453379072
{"000111110010101101111111000000111100","011100101111111000001010111011100100","001110000010011111111100011101101000","010100010001100110100011110000010100","110110001100000100100000001001011000","101000101000111101000000110110001010","101011101011000100010000100100001011","001000101000111101000101110011001101","101010110001000111001011010110010110","100100111000100010111100100001101011","010110101100011100000000101001101110","101111110111000110101110010001011011","011100010101110111011000001011100110","001010010011000010100101000111011100","001111000111101001101011010011110110","011011101101101100000111101000100100","000111010001100001110011100111001111","101000011011100001100000001011100000","011101111110010010110111100010101111","101101000001101010100111101101001110","001011101100011110011011100011100101","111100101100001111101001011100111000","100111100000111101001110000001000101","000110110100001110010011111100101001","010000010010010000001000110010101101","000110101000111001110111010111111000","111001011111101011001111100001100100","111011010010110101000100001010001111","000110111010011010101100010010000011","101100011001011000000100110010111101","100100100000100100111001110100110110","000101011000111001010100110101000100","100001110101011111010000110111100001"}

Returns: 8287036192
{"000","000","010","100"}

Returns: 4
{"1","0","1","0","1","0","0","1","0","1","1","0","0"}

Returns: 4096
{"010100","110111","100010","010101","100000","111001","101010","000110","101000","010110","011110","111100","101111","000100","011110","010001","001001","111000","010001","111111"}

Returns: 622592
{"1"}

Returns: 1
{"1100001111","0110010000","0011011101","0011001000","1011100101","0000110111","1110110001","0110001000","1100001110","1001000101","0010101111","1000110001","0110000011","1100110100","1111111011","1010100100","1110100100","1101001100","0000001000","0011010001","0110100110","0101111111","1000110000","1011010010","0111011010","0110110110","1110111110","1011101111","0000000001","1100010111","1010100001","1011111110","0101011000","0101101010","0000001010"}

Returns: 24427626496
{"001","101","011","001","100","010","001","100","000","101"}

Returns: 512
{"1","1","0","1","1","1","0","0","0","0","0","0","1","1","1","1"}

Returns: 32768
{"100010010110010","111000000101101","000011101011001","010000011011101","101011010000000","011111011000010","111001000100011","011000001001111","111010011100100","001001101101010","011001111100000","001110100000000","100110100110110","111110010010001","001100100000111","111100111100001","110101001011101","000101001001001","010001011110101","001101011001110","011100011010101","001101001111000","010110011010000","011011110110100","001001101110111","101101010011010","011111111011101","110100110010010","010111101000101","000101101101000","010001000010110","111110100011001","010111100011111","000100100001110","011101100000110","011001110101100","111110100100110","001010101000101","011110100001011","011101101111110","110011100100110","111100000010100","101110110101011","010101011001100","101101100100011","111111000100111","111101101000100","001101111111110","111001110111100"}

Returns: 458771226689536
{"001011111111000101100000010101011101","000111000010101110111010010100100101","110110000011010001000110100101100011","000110001011100110000001010000111110","001011011101110101010100111101000001","011011000110110110110000000111101100","101111011100100110101110111111111100","110111100100010111111010100101001010","100100110001101000111011011001110001","000101101001000010001011111000001100","110010101011101001101101110011111001","001101001100110110110001011001110100","110010000011011010100111010001010111","100001000101110100001111000000000000","000111000011001100100110110111100100","110001110110101111111111010001001011","011110000010101110001111010111110011","000111011000110111110110111000001100","101110001010010111010100011101100001","100000000010000110001000011100010111","110101101010010001001111111000110010","010100111001100110001000101110010110","010010110001010010011011001011101001","000111001100011110010111100110100111","101011111000011111101110101100111001","001100000101111111011101001010010101","101111011010110011010010111110111110","011011000001010111101111001100011000","010101001110101001010011000001000111","111101001111000101010011010110100110","101111111111100001101101011001110101","111000110010110111001111000110000010","010100001100100010010110110101111001","010100100101011101011110101011011111","111001000111011110100110111011000100","111101000001110011111000010010111001","000111100100000011110111111101000110","100001100111101100000010111111110000","101011100100110100101110100000010100","010111001011011001100101011111000000","011000101000000110111111001001001100","011110111110111000110101001101110000","000101010111001100010010000011111101","011101000100010001101001111101011000","111010100100100110000100110111101101","010001010111110100010011000100100100"}

Returns: 67887402057728
{"110100101011010","101101100111111","110011100000001","010100100001110","010001011010100","011111010101000","110010101011110","010111011111000","011110001000010","101110101101110","111011010100000","101011100011111","001011010010001","001101010001000","110001000010101","011011100101001","110000000100111","011000101110110","101100000001011","011001001010000","000100110001110","011110110100001","111100101000000","110100101001011","010110111011110","010111111100100","110100101100001","110101100010011","110011100011100","100011111011011","011111011000100","011101111110101","010100011101100","000101101100010","100000101111110","100101101110001","011100111110100","001110010101010","111111110000011","111100001100100","001100101000100","100100010110001"}

Returns: 3584150208512
{"011010110101110","010000101001100","010001000100100","001011011000000","011101011101111","101111101001101","101011101011101","001001110101111","011001010111110","101111100101010","100000001010100","111000000110000","110110011000100","101001011110100","101001001011101","100110101100110","110101111000100","111110100010010","111010100011000","000011101010011","111001100110100","101000110010100","010110000000001","110000011101101","111100111101011","100011001111110","011110001010000","110101110011000","001100010010000","110010000111110","101000000111011","001100000100100","110011100000011","010101101011001","110011000000001"}

Returns: 28001173504
{"111110110010111011101100001001111111","001100011011100101110101011000010000","110100100010100100001010100100010011","101000010001010100101110010010110110","000000111000011011001001001101101101","010110110010011011010011101000001010","110000000110110000011101111000011111","100101101100011111010010110000101001","001101000001000010001111010100100111","110011110111000001001100101110101111","110111100111101100011001001110111110","000010110011100100100000101001111111","011000011111011000110101110111110011","010100110000000110001010100100000111","111110100101101100000111101111100010","110000110101110010010001101010101010","101101000110001001101001001111011001","111001100000100110001011111000011100","111110110110010110011101000011110010","010011111100111011100101110101011100","100110001100001100100010011111110100","110000010000110101011001100101101101","001100101111101010000100101001001011"}

Returns: 8092714
{"101100011111001010010","101101100110001100000","111001111100001001000","100100010101000010100","100111110100011101111","101100101101010000001","101010001101111110001","111000100100010000111"}

Returns: 225
{"010100011010111","000011111001000","101100000001001","001001111110011","101010110111101","101010100001000","001111001011110","001111100100110","010110001001000","111100101010001","111010010101011","100101101111110","111100011000111","011010011000100","001111111001001","111110111101110","110100100110010","111100101100001","011111110000100","101101111101001"}

Returns: 854528
{"1100110001101111011111111100","1000010101001001110111001011","0000110010110101110111011000","1111010000111111101000001101","1000000110010001011110000010","0100011011010010010111111101","1100001100010101011000001100","1001010100101101000011111010","1111000111100111100110110101","0000010010110101111100101001","1000101100100011100011011110","0010001000110100100100000011","0110001011010011101010101110","1000010111000011010011111010","0001010110111101111000101010","1100110001110010110010101011","1011010100011100111011000100","1110100000000000011000011101","1111000001001001101011100101","1001111001100010101010100011","1000101101111000001100010000","1110010011100100100000000000","0011001111011010110001001111","1101101101001011001110000110","1000101011011101000011001110","0000010011011010000000100111","1001010000001010110010110100","0010010011001100101010001100","1101101100000000010111001111","0001101010010111101001001101","1100000011010111011100101101","1011110101101010110101110000","0111111011000100010000001110","1011110101111110101101000101","1111011000110001111011111000","1010100011011111101000101000","1001010000101001010001010011"}

Returns: 128792879104
{"011000110101010101110110011110111110","110000101000011011000010011111111110","001110111001111111001111110111001101","010100111111010111010100010110001011","001111000011110011111010001001110101","001101011000011011101100111111011100","011110010101101011100110010100011001","001101010111010011001010100100010111","111001100011101110111000001001000100","011001011111001010010111111000101001","011010110011111010011101010100011001","001101101011001100010111001010110001","101001110100111110000101001010011110","001001010100001011111100001101110001","011100110001110011110110111010001001","000101111110011110010110011100010111","100010010001000101000011000101000100","101000001010110111100110000110110001","000000101100001011100111111111001101","001001111000011111000001111001101110","010000111110111001001110011110000101","000110001110000010000110011111110110","110111001111110000101111100110000000","100000101011111001111101011110000101","001101111011011111111110101011011010","110010101001100101101010011011101110"}

Returns: 64742430
{"000110011001110011111101111100000000","001001100110111111101110011001010100","010000000000100111110110101110001100","110001111011110000101111101000011000","101001010000001000100111111101101110","110100001001111011111111000001010111","011000101100000101110110101000011001","101000010010011001100010101111001111","100100101111110000010111000100000011","010011000011101010111010011011010101","101010000110110111101011010000010110","010011101011011011111011000000100001","000010101101011101000011011101110110","011100101100100101000010000110110011","101100110101110100011010011001000110","011010101000000111101101001011000011","100000000100000011011010000001000001","001100110111010101110000001100001010","100110010111010011010100101010101000","100111000111010001011011011011110100","110101100011111011110000000011001000","111110001001000001100110011011101010"}

Returns: 4046570
{"0010110110","0000100001","1100111001","0101111100","1101000100","0111011010","1101010010","0111001001","0100100000","0011000000","1000000101","1110010100","1110101101","0001000000","1001010011","0010011010","1000000001"}

Returns: 93184
{"1011110111001101001110101000","0110110101101010011101110010","0010001101100111101001010110","0110111111111101100001110011","0010011001110111001101010001","0010111000001000110101010011","0000111001001011110101011110","0111011111010001111001100100","0011110010111010010111111010","1000100111000000000101100110","0001011110111110111000001111","1000001111101111100010100110","1100110100010011111111100100","0011010110111001001011010101","1110111010110011001101100000","1011010010011100010101000111","0001100001111010111000010010","0010011010100001001000101010"}

Returns: 245638
{"000000100000100110001000110001001000","010100001000000000000001001010000000","101000100010000100000000010000000010","110001101110110000010000000001000101","000001000000010000000110001010100101","100100010001010000000000000010000010","111001000000111111001001011001010000","100001100000110001011110000001010001","111000000001100100000000000011100000","111010110000011000100000000001101000","001000100000001010001001001000011001","110111001101000100000101000100100100","100111000010100110001100101101000001","000010100000110111000000000100100000","000100001010000000010010000000100100","001100000010010000000100100001100000","001000100100000100001000000100010001","011010000110001000000001010011001100","000100011111100000000010010010110000","000001010101001010011111100000000110","000010000010001010100100010001100000","010001011000000000000100000110000001","010000000100100000000000000000011000","100101001000001100000100001000000001","100010000000000000000001000000010000","101010000010001001011011000000000100","000010000000011010111000010111100100","010001101111000100100101110000100000","000110010000000100000000000010000010","111000001000000010010000011100000100","000010101100100100010100000000000000","110010001000100100010000000000000000","011000100000000100110101101100100001","000100000011001110100000001100111010","000110001101100010100000000000010000","000110010010011001010010100110001001","110001100000010000000000100100010110","001110011000110000100110000011001000","000001000100000110011100000100000101","100001000000010000100000101001101100","011010110000011000110011111101011110","010001100010101100000101000000010001","011011000101000001101110100011110110","101000001100010010001100011000000010","001111000011100001110000010010010001","010000001010010000010000101000110000","001101100001000101000100010011001110","001010110110101000010100101101010101","000100010111110010010100101000100101","100010000000010101111010010000110001"}

Returns: 1086198432923648
{"100011100000010000100001010011001000","000010101010010101001111010000011001","000000000000000001000100110101000010","010000000001001101001110100111011000","110101110000000010101000100000100011","100000000100000010110000000100000101","000100100001000100000101100000111000","111100000001010100100110110110001111","111010010011100110001000011110000000","001010000100001101010010001000001000","001000001000000001001010100011101000","011001100001010000001011000100001111","000000100001100000000100000000011000","011001000100000010110110001100100001","010110011000100100001001001011011000","000101110010010010000100010000011000","111111010000000000101010011000101001","000000000010111000101001101000011001","000000100100000110000001000111001001","000010100001110100111101010010001010","011100001000010010000011011001001001","000100000000001101101110100010001100","100000110100000110001100000010001000","100000000010000100101010010101001000","001101010101011000110000100000001100","001010100010100000000000101000000110","010000000001000100100100001101010010","000000100110101001000001100000101001","000100010110000010000000001100000000","000010001000001100010100001101101100","000010000010010011000100101010001000","000110001010001000111000100100001100","101111010010000000100100010001010000","100001001100001001111001010000000001","010001010101011000101001001001100001","000010010100000000000001000000100001","000000001010100001101000010000100001","000010101100010000000001100000100100","110001010000110001010000000000011000","100101010001100001000001100010010000","001010010100110000110000101000000100","000001000000101100001000111000110000","000010110101000000011000010000100100","000000000110100000100011000101000000","010000001110001000000001010101000100","001110110010101111111101010000000000","100001000001000001000000101000010000","100010000000010110101100110000101011","100100011000000100000010101010010000","011010010000000001011001110101010001"}

Returns: 1086198432923648
{"100001100001110011000000100000000110","010101000000111000110010010100000110","001000000100011110110100000100000100","000000011100000001000100100000010101","101100000000010110000000000010010010","000111011001010000000010001110100100","100001000000010100010110010000000000","101000000110010100101000110001001000","010001001000010000000001011000000100","000100011000100110000000000010010000","000100000101100010110110000001000100","110100100001010011100001010101010001","000000000001000000010010000000100010","011100000100000100011011100100011100","010001010000110000010001100010000010","010000011000000011101100101100001010","001000110100000100001110100100000000","000000100101001001100111010100001010","011010101010010100001111111100110001","110100010100101111010000000101000111","001001011110101000100101001000000000","000011000001000001110000000101000100","110100001000010101001000011001001000","100110100111010010010010010000000000","111010001010110101010000110000000000","001100011110000100001001000011010000","000000000001110111110000000001000010","000011000001011100000000011010101000","000000010000011011100010011011100010","001010110000000010001000000011000001","101101000000000010000101110001000000","000001000000110110010001000001110000","000101000111100001000001001010000000","000000011000000010000001101100000000","000100100000001000110101010000010000","110100000000111000001000101010001000","000001000000010011010000110011011011","000010100001000001101010011001010000","010001010000000010010111110011000100","001100001000110100101011001101000001","100000000010010000011100000110010110","100100010000010000000011111000111000","000011000000010000010001100000000000","110100101000010001100111101100010000","000010100000110001000011000100100100","010000000011011010011000100000000100","100100110000000110010000100000000100","110010010001010000001001101111000001","100000010001000101101100110000010000","000011100000100010001010000001010010"}

Returns: 1086198432923648
{"000100101001001100010000110001111010","110000010000000000000000010100110000","000001010000101000001000000000000000","010000010001100010001000101001001101","110111000010000000010010001000000000","011100010010000100100000100000000101","001101100000010000001001101000000110","001000000000101000000010101000100000","010000010001011100100100010010001000","110001010001000001100010011100100110","000101100001011000001101010010001101","010000000111010011100000000000000011","000000010000010010000010000101111000","000100010000001100011101011111001100","110100001011101000000011011100000000","011100000000110000001001101000000010","000000100100100011001001100110010011","000011010000000011000101100100000011","001001100101000010010001000100110110","000010000000010111100000100001010001","010001001001010111010000110010000101","011010000110001110000010110100011100","010000011001010100001100100001000001","110110001010000011011000010000010100","010100010100001000010000001000100000","110000010010010000100101001101001100","001100001000000000001010100000010010","000110000010010111000000101000011110","000000011000001101100010000101100000","000001010010010100010010000000100001","010010110000000101100000000001000010","001011010100010100100110100111010101","000100000010100100000001000000110100","000000100000000100010100111110101010","000100000101001010100001000000100010","000000001000000000000010000000000000","011000000101010000101000000000001000","000000011010111000110000000100000100","000001010000100101110001001000001100","001101010000000000001000010000000000","000001000010011000010100000100000010","000110110110000001000110000000000110","001000011001100010010000010000000011","011110000001000000001100001000000001","000100000100100000000010111001001000","001001001000000000101010000010001110","011000010000100110010000001001000001","100010000010001100010000110001010100","110100010100101000000011100100001010","100011100001100000000000000000001011"}

Returns: 1086198432923648
{"000010000000000000000001000000000000","000000000010000001000010000000000001","000000000000000001000100010100000000","000000000000001000000100000000000000","010000110000000000101000000000100011","000000000100000010000000000100000000","000100000000000100000000100000000000","000000000000010100100000000100001001","001010000000100100001000001010000000","000010000100000000000010000000000000","001000000000000000001010000001000000","000001100000010000000001000100001100","000000000000000000000000000000000000","011000000000000010000000001000000000","000000011000000000000000001001000000","000100100010010010000000000000010000","000001000000000000101000011000000000","000000000010011000101001000000001001","000000000100000010000001000101000000","000000000000010000000100000000000000","000000000000000000000001000000000001","000100000000001100000000100000000000","000000000000000100001000000000001000","000000000010000100000000000000001000","000001010001010000100000100000001000","000000000000100000000000000000000000","010000000000000000000100001000000000","000000100100001000000000000000000000","000000010000000000000000000100000000","000010000000000100010000000000000000","000000000000000011000100101000001000","000000000000000000000000000100000000","001010000000000000000100010000010000","000000000000000000010000010000000001","010001000101011000100000000001100001","000010010000000000000000000000000001","000000000010000000000000000000100000","000000001100000000000000100000000000","000001000000110001000000000000000000","000100000000000000000001000000010000","001000000100100000000000000000000100","000001000000100100000000010000100000","000010110000000000011000010000000100","000000000000100000100010000101000000","010000000000001000000001000000000100","001000100000101111111000000000000000","000000000000000000000000101000000000","000000000000000100001000010000000000","000100010000000100000000000000000000","001000000000000001010000000000000000"}

Returns: 1077422383955968
{"000000000000000010000000000001000000","010000000000000000000000000000000000","000000000000000000000000000000000000","000000000010000000000000000000000000","000000000000000000000010000000100100","000100000000000000000000000010000000","100000000000011001000000000000000000","000000000000010001000000000000000000","000000000000000000000000000001000000","011000000000000000000000000000001000","000000000000000000000000000000000000","010000000000000100000000000000000000","000000000010000010000000000000000000","000000000000000000000000000100100000","000000000000000000000000000000000000","000000000000000000000000100001000000","001000000000000000000000000000000000","010000000000000000000000000010000000","000100000010000000000000000000010000","000000000000000000000010000000000000","000000000000001000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000010000","000100000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000010000000000000","000000000000000000000000000100000000","000000000000000100000100000000000000","000000000000000000000000000000000000","001000000000000010000000010100000000","000010000100000000010100000000000000","000010000000000000000000000000000000","000000000000000000000000001000000000","000000000000001000000000000000001000","000000000001000000000000000000000000","000000000000000000000000000000000000","100000100000000000000000000000000000","000000000000010000000000000000000000","000000000100000000000000000000000100","000000000000010000000000000000100000","001000000000010000000000000001000000","000000000000001000000000000000010001","001000000000000001100000000001000100","000000000000000000000000000000000000","000001000000000000000000000010000000","000000000000000000000000001000100000","000001000000000000000100000000000010","000000000000000000000000001100000000","000000010010010000000000000000000000","000000000000000000000000000000010000"}

Returns: 1038323783041024
{"000000000000000000000001000000000000","000000000010000000000010000000000001","000000000000000000000100010000000000","000000000000000000000000000000000000","010000000000000000101000000000000010","000000000100000000000000000000000000","000000000000000100000000000000000000","000000000000000100000000000000000000","000000000000100100000000001000000000","000000000000000000000010000000000000","001000000000000000001000000000000000","000000000000000000000000000100000100","000000000000000000000000000000000000","011000000000000000000000001000000000","000000001000000000000000001000000000","000000000000010000000000000000010000","000001000000000000101000001000000000","000000000000000000000001000000001001","000000000000000000000000000101000000","000000000000010000000000000000000000","000000000000000000000000000000000001","000000000000000100000000100000000000","000000000000000100000000000000000000","000000000000000100000000000000000000","000000000000010000100000000000000000","000000000000100000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000000","000000000000000000000000100000001000","000000000000000000000000000000000000","000010000000000000000100000000000000","000000000000000000010000010000000000","000000000101000000100000000000000000","000000010000000000000000000000000001","000000000000000000000000000000100000","000000000100000000000000100000000000","000000000000110000000000000000000000","000000000000000000000001000000000000","000000000000000000000000000000000100","000001000000100000000000000000100000","000010000000000000000000000000000000","000000000000100000000000000101000000","010000000000001000000000000000000100","000000000000100010100000000000000000","000000000000000000000000100000000000","000000000000000100000000010000000000","000100000000000100000000000000000000","000000000000000001000000000000000000"}

Returns: 1051365929385984
{"000001100000100000000000000000000010","000000000000100000000000000000000000","001000000100010100000100000100000000","000000001000000001000000000000000000","000000000000000000000000000000000000","000010000001000000000010000000000000","000000000000000000000000000000000000","101000000000000000000000000000000000","010000000000000000000000000000000000","000000010000000000000000000000000000","000000000001000010000010000000000000","000000000000000001000000010000000000","000000000000000000010000000000000010","000000000100000000000001100000011100","000000010000000000000000000000000000","010000010000000000000000000000000000","000000000000000100000000000000000000","000000000000000001000010000000000000","000000100010000000000000000000000000","010000000000000110000000000000000010","000000010000000000100001000000000000","000000000000000000000000000000000000","000100000000000000000000011000001000","000000000001010000000000000000000000","001000000000100001000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000010","000000000000000000000000000010000000","000000010000000000000010000000000000","000000010000000000000000000010000000","000001000000000010000000000000000000","000000000000000000010000000000000000","000100000000000000000001001000000000","000000000000000010000000001000000000","000000000000000000000000000000000000","000100000000000000000000000000000000","000000000000010010000000010000000010","000000000000000000100000010000010000","000000000000000000010001000000000100","000000000000000000000000000100000000","000000000010000000010100000000010000","000000000000000000000001000000000000","000000000000000000000000000000000000","000000000000010000000000000100000000","000000000000000000000000000000000000","000000000000000010000000000000000100","000000000000000000010000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000000","000000000000000010000000000000010010"}

Returns: 995712359727104
{"000000001000000100000000000000000000","000000000000000000000000000000000000","000000000000001000000000000000000000","000000000000000000000000000000000000","000110000000000000000000000000000000","000000010000000000000000100000000000","001000000000000000001000001000000000","001000000000000000000010001000000000","000000000000001000000000000000000000","100000000001000000000000010000000000","000100100000001000000001000010000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000100000000","010100000010100000000001000000000000","011000000000000000000000000000000000","000000000000000001000000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000010","000000000000000000000000000001000000","000000000000000010000000000000000000","011000000000000000000000000000000100","000000010001000000000000000000000000","010000000000000000000000000000000000","000000010000000000000000000000000000","000000000000000000000100000000000000","000000000000000000000000000000010000","000010000000000100000000000000000100","000000000000000100000000000000100000","000000000000000000010000000000000000","010000010000000000000000000000000000","000000000000000100000000100001000000","000000000000000000000000000000000000","000000000000000000000000000000000010","000000000000000000100000000000000010","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000100000000100000000","000000010000000000000000000000000000","001001000000000000000000000000000000","000000000000000000010000000000000000","000010000000000000000010000000000000","000000001001000000000000000000000000","000100000000000000000000001000000000","000100000000100000000000000000000000","000001001000000000001000000000000000","010000000000000000000000001000000000","000000000000000000000000000000010000","000000000100100000000001000000000000","100000000001000000000000000000001001"}

Returns: 1064876472532992
{"000000000000000000000000000000000000","000000000000000000010000000000000000","000000000000000000000000000000000000","001000000000000000001000000000000010","000000100000000010010000000000000000","000010000000000001100000000000000000","000000000011000000001000000000000000","000010000000000000000000000001000000","000010010000001000001000000101000110","000000000000010010000000000000000000","000000010000000000000000000000000000","100000000000000000000000000000000000","000000000000010000000000001011000000","000000100000000000000000000000010000","000000000000000000100000000010000000","100000000001100000000000100000010000","000000000000001000000010000000000000","000000000000010000000000000000000000","000000100000000000000010000000000000","010000000000000000000000000000000001","000000000000000000000010000000100000","000001000001000000000000000000000000","000001000000100000000000000000000000","000000000000000000000000000000000000","000000000000000100000000000000000000","000000001000000000000000000000001000","000000000000000000000001000000100100","000000000000001000001000000000000000","000000000000000000000000000000000000","000000000000000000000001011100000000","000100000000000000000000000000000000","000000001000000000001000000010000000","000010000000000000000000000000000000","000000000000000000000000110000000000","000000000000000000000000000000001000","000000000000000000000000000000000001","011000000000000000000000000000000000","000000000000000000000010100000000000","000100000000000000000000000000000000","000000000000000000000010000000000000","000100000000000000000000000000001000","000000000000001001010000000000000000","000000100000000000000000000000000000","000101000000000000000000000000000000","000000000000001000000000000000000000","000000000000000110100000000000000000","000010000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000010000000010000000000"}

Returns: 1060471583014912
{"000000000000000000000000000000000000","010000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000100","000100000000000000000000000010000000","000000000000001001000000000000000000","000000000000010001000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000100000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","010000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000010000000000000","000000000000001000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000010000000000000","000000000000000000000000000100000000","000000000000000000000100000000000000","000000000000000000000000000000000000","000000000000000000000000010000000000","000010000100000000000000000000000000","000010000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000100000000000000000000000100","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000000000000000000001","001000000000000000000000000000000100","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000001000000000000000100000000000010","000000000000000000000000000000000000","000000000010010000000000000000000000","000000000000000000000000000000000000"}

Returns: 518763329880064
{"000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000010000000000","000000000000000000000000000000000000","000000000000000000100000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000100000000001000000000","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000000000","011000000000000000000000001000000000","000000001000000000000000000000000000","000000000000000000000000000000000000","000001000000000000101000000000000000","000000000000000000000001000000001001","000000000000000000000000000100000000","000000000000000000000000000000000000","000000000000000000000000000000000001","000000000000000100000000000000000000","000000000000000000000000000000000000","000000000000000100000000000000000000","000000000000010000000000000000000000","000000000000100000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000000","000000000000000000000000100000000000","000000000000000000000000000000000000","000010000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000100000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000001000000000000000000000000000000","000000000000000000000000000000000000","000000000000100000000000000100000000","000000000000000000000000000000000000","000000000000000010100000000000000000","000000000000000000000000000000000000","000000000000000100000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000"}

Returns: 591361162084352
{"000001000000100000000000000000000010","000000000000000000000000000000000000","000000000000010100000000000000000000","000000001000000000000000000000000000","000000000000000000000000000000000000","000010000000000000000000000000000000","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000010000000000000000","000000000000000000000000000000001100","000000010000000000000000000000000000","000000000000000000000000000000000000","000000000000000100000000000000000000","000000000000000000000010000000000000","000000100000000000000000000000000000","000000000000000100000000000000000010","000000010000000000000001000000000000","000000000000000000000000000000000000","000100000000000000000000000000000000","000000000001000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000010","000000000000000000000000000000000000","000000010000000000000000000000000000","000000010000000000000000000000000000","000000000000000000000000000000000000","000000000000000000010000000000000000","000100000000000000000001000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000100000000000000000000000000000000","000000000000010010000000010000000000","000000000000000000000000000000010000","000000000000000000010000000000000000","000000000000000000000000000100000000","000000000010000000010100000000000000","000000000000000000000001000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000000","000000000000000000000000000000000010"}

Returns: 781415612416000
{"000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000010000000000000000100000000000","001000000000000000000000000000000000","000000000000000000000010000000000000","000000000000000000000000000000000000","100000000001000000000000010000000000","000000000000000000000001000010000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000100000000","010000000010100000000000000000000000","011000000000000000000000000000000000","000000000000000001000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000001000000","000000000000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000000000","000000000000000000000000000000000000","000000010000000000000000000000000000","000000000000000000000100000000000000","000000000000000000000000000000010000","000000000000000000000000000000000000","000000000000000000000000000000100000","000000000000000000000000000000000000","010000010000000000000000000000000000","000000000000000100000000100000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000010","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000100000000","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000010000000000000000","000000000000000000000010000000000000","000000000000000000000000000000000000","000100000000000000000000001000000000","000000000000100000000000000000000000","000000001000000000000000000000000000","010000000000000000000000000000000000","000000000000000000000000000000010000","000000000100000000000001000000000000","100000000001000000000000000000000001"}

Returns: 922735605710848
{"000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","001000000000000000001000000000000010","000000000000000010000000000000000000","000010000000000000100000000000000000","000000000010000000000000000000000000","000000000000000000000000000000000000","000010000000000000001000000100000110","000000000000000000000000000000000000","000000010000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000001000000","000000000000000000000000000000010000","000000000000000000100000000010000000","100000000001100000000000000000000000","000000000000001000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000001","000000000000000000000000000000100000","000000000000000000000000000000000000","000000000000100000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000001000","000000000000000000000000000000100000","000000000000001000000000000000000000","000000000000000000000000000000000000","000000000000000000000000010000000000","000000000000000000000000000000000000","000000000000000000001000000000000000","000000000000000000000000000000000000","000000000000000000000000110000000000","000000000000000000000000000000001000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000010000000000000","000000000000000000000000000000000000","000000000000000001010000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000110100000000000000000","000010000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000000000000000000000"}

Returns: 843795717423104
{"000000000000000010000000000000000000","010100000000000000000000000000000000","100000100000000000000000000000000000","010000000010000000000000000000000000","000001000000010000000000000000000000","000100010001000000000000000000000000","111001000000011001000000000000000000","000000000000010001000000000000000000","011000000000000100000000000000000000","111000100000000000000000000000000000","000000100000000000000000000000000000","110000001000000100000000000000000000","100000000010000110000000000000000000","000000000000000000000000000000000000","000000001000000000000000000000000000","001000000000000000000000000000000000","001000000000000000000000000000000000","010010000100000000000000000000000000","000100010110000000000000000000000000","000000000001001000000010000000000000","000010000000001000000000000000000000","000000000000000000000000000000000000","010000000000000000000000000000000000","000100000000000100000000000000000000","100010000000000000000000000000000000","100000000000000000000010000000000000","000000000000000000000000000100000000","010000000000000100000100000000000000","000100000000000000000000000000000000","111000001000000010000000010000000000","000010100100000000010100000000000000","010010000000000000000000000000000000","001000100000000000000000000000000000","000000000010001000000000000000000000","000000000101100000000000000000000000","000110000000000000000000000000000000","100000100000000000000000000000000000","000000001000010000000000000000000000","000000000100000000000000000000000000","000001000000010000000000000000000000","011000110000010000000000000000000000","010000000000001000000000000000000000","001010000000000001100000000000000000","100000001000000000000000000000000000","000101000000000000000000000000000000","000000000000000000000000000000000000","000001000000000000000100000000000000","000000000100000000000000000000000000","000000010110010000000000000000000000","100000000000000000000000000000000000"}

Returns: 700397496827904
{"000010000000000000000000000000000000","000000000010000001000010000000000000","000000000000000000000100010000000000","000000000000001000000000000000000000","110100110000000000101000000000000000","000000000100000010000000000000000000","000100000000000100000000000000000000","000000000000010100000000000000000000","111010000000100100000000001000000000","001010000100000000000000000000000000","001000000000000000001000000000000000","000001100000000000000000000000000000","000000000000000000000000000000000000","011000000000000000000000001000000000","000110011000000000000000000000000000","000100100010010000000000000000000000","001011000000000000101000000000000000","000000000010011000000001000000000000","000000000100000000000000000100000000","000000100000010000000000000000000000","010000000000000000000000000000000000","000100000000001100000000100000000000","000000000000000100000000000000000000","000000000010000100000000000000000000","000001010001010000100000000000000000","000010000000100000000000000000000000","010000000000000000000000000000000000","000000100100001000000000000000000000","000000010000000000000000000100000000","000010000000000100000000000000000000","000010000000000000000000100000000000","000000000000000000000000000000000000","001010010000000000000100000000000000","000001000000000000010000000000000000","010001000101011000100000000000000000","000010010000000000000000000000000000","000000000010000000000000000000000000","000000001100000000000000000000000000","000001000000110001000000000000000000","100100000000000000000000000000000000","001010000100100000000000000000000000","000001000000100100000000000000000000","000010110000000000000000000000000000","000000000000100000000000000100000000","010000000000001000000000000000000000","001000100000101110100000000000000000","100000000000000000000000100000000000","000000000000000100000000000000000000","100100010000000100000000000000000000","001000000000000001000000000000000000"}

Returns: 894987969495040
{"100001100000110000000000000000000000","000101000000100000000000000000000000","001000000100010100000100000000000000","000000011000000001000000000000000000","101000000000000000000000000000000000","000010011001000000000000000000000000","000000000000000000000000000000000000","101000000000000000000000000000000000","010000001000000000000000000000000000","000000010000100000000000000000000000","000000000001100010000000000000000000","010000100000010011000000000000000000","000000000000000000010000000000000000","010000000100000000000001100000000000","000000010000000000000000000000000000","010000010000000000000000000000000000","000000010000000100000000000000000000","000000000000000001000010000000000000","001000100010000000000000000000000000","110000000000100110000000000000000000","001000010100000000100001000000000000","000000000001000000000000000000000000","100100000000000000000000000000000000","000100000001010000000000000000000000","001000000000100001000000000000000000","001000000100000000000000000000000000","000000000000100010000000000000000000","000000000000000000000000000000000000","000000010000010000000000000000000000","001010010000000000000000000000000000","001001000000000010000000000000000000","000001000000000000010000000000000000","000100000001000000000001000000000000","000000010000000010000000000000000000","000000100000000000000000000000000000","100100000000110000000000000000000000","000000000000010010000000010000000000","000000000000000001100000000000000000","010001000000000000010001000000000000","001100000000000000000000000100000000","000000000010000000010100000000000000","100000000000000000000001000000000000","000011000000000000000000000000000000","000000000000010000100000000000000000","000000100000100000000000000000000000","000000000000010010000000000000000000","100000100000000000010000000000000000","000010010000000000000000000100000000","000000010001000000000000000000000000","000001000000000010000000000000000000"}

Returns: 673044729167872
{"000000001000000100000000000000000000","000000010000000000000000000000000000","000000010000001000000000000000000000","000000000000000000000000000000000000","010111000000000000000000000000000000","001100010000000000000000100000000000","001001000000000000001000000000000000","001000000000100000000010000000000000","000000000000001000000000000000000000","110001000001000001000000010000000000","000100100000001000000001000010000000","000000000000000000000000000000000000","000000000000010000000000000000000000","000000000000000100000000000100000000","110100000010100000000000000000000000","011100000000010000000000000000000000","000000000000000001000000000000000000","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000000000000001000000","010000000000000010000000000000000000","011000000000000000000000000000000000","000000010001010000000000000000000000","110010000000000000000000000000000000","000100010000001000000000000000000000","000000000010000000000100000000000000","000000000000000000000000000000000000","000010000010000100000000000000000000","000000001000000100000000000000000000","000000010000010000010000000000000000","010000110000000000000000000000000000","000000010000000100000000100000000000","000100000000000000000000000000000000","000000000000000000000000000000000000","000000000000000000100000000000000000","000000000000000000000000000000000000","001000000000000000000000000000000000","000000000000000000100000000100000000","000001010000000000000000000000000000","001001000000000000000000000000000000","000000000000000000010000000000000000","000110000100000000000010000000000000","001000001001100000000000000000000000","011100000000000000000000001000000000","000100000100100000000000000000000000","000001001000000000001000000000000000","010000000000000000000000000000000000","000000000000000000000000000000000000","000000000100100000000001000000000000","100000000001000000000000000000000000"}

Returns: 969210691846144
{"000000000000000000000000000000000000","000010000000000000010000000000000000","001000000000000000000000000000000000","001100000000000000001000000000000000","000010100000000010010000000000000000","000010000000000001100000000000000000","000001000111000000001000000000000000","001010000100100000000000000000000000","000010010001001100001000000100000000","100000000001010010000000000000000000","000000010000000000000000000000000000","100100000000000000000000000000000000","000000000000010000000000000000000000","000000100000000000000000000000000000","010000000000000000100000000010000000","100000000101100100000000000000000000","000000000001001000000010000000000000","000000000100010000000000000000000000","000000100000000000000010000000000000","010000100000000000000000000000000000","000000000000000000000010000000000000","000011000001000000000000000000000000","000001000000100000000000000000000000","100010010000000000000000000000000000","000000000000000100000000000000000000","000000001010000000000000000000000000","000100000000000000000001000000000000","001001010000001000001000000000000000","000000000000000000000000000000000000","000000000000000000000000010000000000","000101000000000000000000000000000000","110000001100000000001000000000000000","000110000000000010000000000000000000","000000000000000000000000110000000000","000100010000000000000000000000000000","000100001100000000000000000000000000","011000000000010101000000000000000000","000101010000100000000000000000000000","001100010000000000000000000000000000","010000000000000001000010000000000000","000100000000000000000000000000000000","000000000000001001010000000000000000","000000100000000000000000000000000000","000101000000000010000000000000000000","000000000000001000000000000000000000","001000010000000110100000000000000000","000010000000000000000000000000000000","000001000000000000000000000000000000","000001100000000000000000000000000000","010000000000000010100000000000000000"}

Returns: 875143039549440
{"000000001000000000000000000000000000","000000000000000000000100000000000000","000000000000000000000000000000000001","000000000000000100000000000000000000","100000000000000000000000000000000000","000000000000000100000000000000000000","000000001000000000000000000000000000","000000000000000100000000000000000000","000000001000000000000000000000000000","000000000000000100000000000000000000","000000000000000000000000000000100000","000000001000000000000000000000000000","000000000000000000000000001000000000","100000000000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000100000","000000001000000000000000000000000000","000000000000000000000000000000100000","000000001000000000000000000000000000","100000000000000000000000000000000000","000000000000000100000000000000000000","000000000000000100000000000000000000","000000001000000000000000000000000000","000000000000000000000000001000000000","000000000000000000000100000000000000","000000000000000000000000000000000001","000000000000000000000000000000000001","000000000000000000000000000000000100","000000000000000000000000000000000001","000000000000000000000000001000000000","000000000000000000000000000000000100","000000000000000000000000000000000100","000000000000000000000000000000100000","000000000000000000000000001000000000","000000000000000000000000000000000100","000000000000000000000000000000000100","000000000000000000000100000000000000","000000000000000000000000000000000001","000000000000000000000000000000000001","000000001000000000000000000000000000","000000001000000000000000000000000000","000000000000000000000000000000000001","000000001000000000000000000000000000","000000000000000000000000000000000001","000000001000000000000000000000000000","000000000000000000000000000000100000","000000001000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000100000","000000000000000000000000001000000000"}

Returns: 4398046511104
{"000000000000000000000000000000000100","000000000000000100000000000000000000","000000000000000100000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000100000","100000000000000000000000000000000000","000000000000000000000000001000000000","000000000000000000000000000000000001","000000000000000100000000000000000000","000000000000000000000000000000000001","000000000000000100000000000000000000","000000000000000000000000000000000001","100000000000000000000000000000000000","000000001000000000000000000000000000","000000000000000000000000001000000000","000000000000000000000100000000000000","000000000000000000000100000000000000","000000001000000000000000000000000000","000000000000000100000000000000000000","000000000000000000000000000000000100","000000000000000000000100000000000000","000000000000000000000000001000000000","000000000000000000000000000000000100","000000000000000000000000001000000000","000000000000000000000000001000000000","000000000000000000000000000000100000","000000000000000000000000001000000000","000000000000000000000000000000000001","000000000000000000000000001000000000","000000000000000000000000001000000000","000000001000000000000000000000000000","000000000000000000000000000000000100","000000000000000000000000000000100000","000000000000000000000000000000000001","000000000000000100000000000000000000","000000000000000100000000000000000000","000000000000000000000000001000000000","000000000000000000000000001000000000","000000000000000000000000000000000001","000000000000000000000100000000000000","100000000000000000000000000000000000","000000000000000000000000000000100000","100000000000000000000000000000000000","000000000000000000000100000000000000","000000000000000000000000000000000001","000000000000000000000000000000100000","000000000000000000000000000000000100","000000001000000000000000000000000000","000000000000000000000000000000100000","000000000000000100000000000000000000"}

Returns: 4398046511104
{"110010000000111110101001001001101010", "101011011000101001111110010000000001", "010001101100000010010110000001100010", "101100011110001011101000100010001111", "111010000010010101010111001000000100", "101100001101011101101011011001000010", "111111010000000000110000010101100100" }

Returns: 121

Statistics

Problem Statement for "Gxor"

Problem Statement

Definition

Constraints

Examples