*PYTHON* i need the following methods defined to return correct output as given in example, and also special condition where run cannot be longer than 15. example is shown in second picture with specail cases. please make sure to incorporate special cases. thank you! it wont be correct if the special cases arent incorporated.

if the run length is longer than 15, it should be broken into new run as per instructions

Student classes are required to provide all of the following methods with defined behaviors. We recommene completing them in the following order: 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 (" 3f64n) yields list [3,15,6,4]. You are strongly encouraged to write your own test cases using JUnit. The test cases (similar to the zybooks unit tests) that you might have problem with are listed below: 1. count_runs - input: [4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,7] - output: 6 - input: [1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5,1,2,3,4,5] - output: 25 2. encode_rle - input: [4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,7] - output: [2,4,15,1,15,1,5,1,1,8,1,7] - input: [1,2,3,4,1,2,3,4] - output: [1,1,1,2,1,3,1,4,1,1,1,2,1,3,1,4] - input: [4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] - output: [2,4,15,1,15,1,5,1] - input: [4,5,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1] - output: [1,4,1,515,1,15,1,5,1] 3. decode_rle - input: [2,4,15,1,15,1,5,1,1,8,1,7] - output: [4,4,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,8,7] The images are stored in uncompressed / unencoded format natively. In addition, there are a few other rules to make the project more tractable: 1. Images are stored as a list of numbers, with the first two numbers holding image width and height. 2. Pixels will be represented by a number between 0 and 15 (representing 16 unique colors). 3. No run may be longer than 15 pixels; if any pixel runs longer, it should be broken into a new run. For example, the chubby smiley image (Figure 2) would contain the data shown in Figure 3. NOTE: Students do not need to work with the image file format itself - they only need to work with lists and encode or decode them. Information about image formatting is to provide context