Efficient List Operations in Python

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Introduction

In this Python challenge, we will create a class that can insert an integer to a list and calculate the maximum, minimum, mean, and mode of the list in O(1) time complexity.


Skills Graph

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Math Ops

Problem

Create a Python class with an insert method that can insert an integer to a list. The class should also support calculating the maximum, minimum, mean, and mode of the list in O(1) time complexity. The class should handle the following scenarios:

  • If the input is not valid, it should raise a TypeError.
  • If the list is empty, it should raise a ValueError.
  • If there are multiple modes, it can return any of the modes.

Requirements

To achieve the above problem, we need to follow these requirements:

  • The inputs may not be valid, so we cannot assume that the inputs are valid.
  • The range of inputs is between 0 and 100 inclusive.
  • The mean should return a float.
  • The other results should return an integer.
  • If there are multiple modes, the class can return any of the modes.
  • We can assume that the list fits into memory.

Example Usage

Here are some examples of how to use the class:

  • None -> TypeError
  • [] -> ValueError
  • [5, 2, 7, 9, 9, 2, 9, 4, 3, 3, 2]
    • max: 9
    • min: 2
    • mean: 4.909090909090909
    • mode: 9 or 2

Summary

In this Python challenge, we have learned how to create a class that can insert an integer to a list and calculate the maximum, minimum, mean, and mode of the list in O(1) time complexity. We have also learned how to handle different scenarios such as invalid inputs and empty lists.

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