Analyze the following problem:

$($Retrieve of Gaddis, T$.,2018,$ p$.225)$ Programming Challenges, $17.$Personal Best, Chapter $4.$

Personal Best

Write a program that asks for the name of a pole vaulter and the dates and vault heights $($in meters$)$ of the athlete$$s three best vaults. It should then report, in order of height $($best first$),$ the date on which each vault was made and its height.

Input Validation: Only accept values between $2\mathrm{.}0$ and $5\mathrm{.}0$ for the heights.

Design a class MeterCentimeter that holds two attributes:

Declare one attribute named meter of integer datatype.

Declare one attribute named centimeter of integer datatype.

The class should define the relational operators.

Design a class Vault that holds two attributes:

Declare one attribute named height of MeterCentimeter class data type.

Declare one attribute named date of Date class data type.

Implement your code's Constructors, Destructor, Copy Constructor, Mutators, and Accessor functions.

Overload operators in your classes.

Define in the driver program three objects of Valult datatype, and sorted them. C$++$