###############################################################################
# You should use the two functions below and the following three variables.
#
# n: the length of the equalizer to use
# s_tr: binary array giving a known training message
# y_tr: the received signal when s_tr is transfered
# y: the received signal for an unknown message (you want to decode this!)
###############################################################################

n = 7;

# This function converts a given string to an array of integers corresponding
# to the binary representation of the characters.
function string2binary(s)
    string_int_arr = [int(a) for a in s];
    bin_string = [bin(a, 8) for a in string_int_arr];
    final_string = join(bin_string);
    final_arr = [int(string(a)) for a in final_string];

    return final_arr
end

# This function converts a given array of integers (containing only ones and
# zeros!) back to a string.
function binary2string(arr)
    chunked_arr = [int(arr[i:i+7]) for i in 1:8:8*floor(length(arr)/8)];
    chunked_str_arr = [join(a) for a in chunked_arr];
    final_string = join([char(parseint(a, 2)) for a in chunked_str_arr]);

    return final_string
end

s_tr =
[0,1,0,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,1,1,1,0,0,0,1,0,0,0,0,0,0,1,0,1,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,1,0,1,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,1,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,1,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,1,1,1,1,0,1,1,1,0,1,0,1,0,1,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,1,1,0,1,0,1,1,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,1,0,1,0,1,1,0,0,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,1,1,1,0,1,0,0,0,1,1,0,0,1,0,1,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,1,0,1,1,0,1,0,0,0,0,1,1,0,0,0,0,1,0,1,1,0,1,1,1,0,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,1,1,0,1,1,1,1,0,1,1,0,1,1,1,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,1,1,0,1,1,1,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,1,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,1,1,0,1,0,0,0,0,1,0,1,1,1,0];
y_tr = 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