Algorithms & Data Structures Question

1-question: Sorting algorithm BucketSort: a) idea of the algorithm, b) example with a 10-element array illustrating the algorithm (have at least 3 repeated elements); c) a program implementing the algorithm in a programming language of the student’s choice, d) results of the program execution for an array with several elements equal to 10.

2- question: Give a definition of the data structure ‘pyramid (heap)’;

3rd question: Write 3 subroutines for a dynamic sorted list of integers: to search for element X, to write element X and to delete element X. Give the results of executing the subroutines for a list of 8 elements and a given value of X .