Please define these 6 functions in Python, they must return the same output as shown in the example of each function.

1. to_hex_string(data) Translates data (RLE or raw) a hexadecimal string (without delimiters). This method can also aid debugging. Ex: to_hex_string ([3,15,6,4]) yields string " 3f64 ". 2. count_runs(flat_data) Returns number of runs of data in an image data set; double this result for length of encoded (RLE) list. Ex: count_runs ([15,15,15,4,4,4,4,4,4]) yields integer 2 . 3. encode_rle(flat_data) Returns encoding (in RLE) of the raw data passed in; used to generate RLE representation of a data. Ex: encode_rle ([15,15,15,4,4,4,4,4,4]) yields list [3,15,6,4]. 4. get_decoded_length (rle_data) Returns decompressed size RLE data; used to generate flat data from RLE encoding. (Counterpart to \#2) Ex: get_decoded_length ([3,15,6,4]) yields integer 9 . 5. decode_rle(rle_data) Returns the decoded data set from RLE encoded data. This decompresses RLE data for use. (Inverse of \#3) Ex: decode_rle ([3,15,6,4]) yields list [15,15,15,4,4,4,4,4,4,4]. 6. string_to_data(data_string) Translates a string in hexadecimal format into byte data (can be raw or RLE). (Inverse of \#1) Ex: string_to_data ("3f64") yields list [3,15,6,4]