Write a function called rec_dig_sum that takes in an integer and returns the recursive digit sum of that number. Examples of recursive digit sums:
101 => 1+0+1 = 2
191 => 1+9+1 = 11 => 1+1 = 2
5697 => 5+6+9+7 = 27 => 2+7 = 9

Then use that function within another function called distr_of_rec_digit_sums, that returns a dictionary where the keys are recursive digit sums, and the values are the counts of those digit sums occurring between a low and high (inclusive) range of input numbers. Assume low and high are positive integers where high is greater than low, and neither low nor high are negative. Your function should return a dictionary, not just print it.

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This question involves a class named textfile that represents a text file. public class textfile { private string filename; private string filename; private arraylist words; // constructors not shown // postcondition: returns the number of bytes in this file public int filesize() { } // precondition: 0 < = index < words.size() // postcondition: removes numwords words from the words arraylist beginning at // index. public void deletewords(int index, int numwords) { } // precondition: 0 < = index < = words.size() // postcondition: adds elements from newwords array to words arraylist beginning // at index. pub lic voidaddwords(int index, string[] newwords) { } // other methods not shown } complete the filesize() method. the filesize() is computed in bytes. in a text file, each character in each word counts as one byte. in addition, there is a space in between each word in the words arraylist, and each of those spaces also counts as one byte. for example, suppose the words arraylist stores the following words: { mary had a little lamb; its fleece was white as snow. } the filesize() method would compute 4 + 3 + 1 + 6 + 5 + 4 + 6 + 3 + 5 + 2 + 5 as the sum of the lengths of each string in the arraylist. the value returned would be this sum plus 10, because there would also be 10 spaces in between the 11 words. complete the filesize() method below: // postcondition: returns the number of bytes in this file public int filesize() { }

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