Assignment: You'll model a simple thermostat that controls a heating and cooling system by implementing a Thermostat class. The thermostat will have a target temperature and a current temperature. It can heat or cool to reach the target temperature, and it can display the current state of the system. The class should contain:

a public double data field named currentTemperature;

a public double data field named targetTemperature;

a parameterized constructor that sets the values of the target and current temperature;

a setTargetTemperature that sets a new target temperature;

an increaseCurrentTemperature function that accepts a double input argument amount and increases the current temperature by amount degrees. If increasing the temperature goes beyond the target temperature, the current temperature should be set to the target temperature instead;

a decreaseCurrentTemperature function that accepts a double input argument amount and decreases the current temperature by amount degrees. If decreasing the temperature goes below the target temperature, the current temperature should be set to the target temperature instead;

a getCurrentTemperature function that returns the current temperature;

a getTargetTemperature function that returns the target temperature;

a getStatus function that returns a string indicating whether the system is "Heating", "Cooling", or $"$At Target Temperature" based on the relationship between the current and target temperatures. For example, if the current temperature is less than the target temperature this method should return "Heating".

All the class attributes and functions are summarised below:

#include

using namespace std;

class Thermostat

$\{$

public:

double currentTemperature; $//$ Current room temperature

double targetTemperature; $//$ Desired target temperature

$//$ Constructor to initialize the thermostat with initial and target temperatures

Thermostat$($double initialTemperature, double target$)$;

$//$ Sets a new target temperature

void setTargetTemperature$($double newTarget$)$;

$//$ Increases the current temperature, not exceeding the target temperature

void increaseCurrentTemperature$($double amount$)$;

$//$ Decreases the current temperature, not falling below the target temperature

void decreaseCurrentTemperature$($double amount$)$;

$//$ Returns the current temperature

double getCurrentTemperature$()$;

$//$ Returns the target temperature

double getTargetTemperature$()$;

$//$ Returns a string indicating the heating$/$cooling status

string getStatus$()$;

$\}$;

IN C$++$