Write a program that calculates the total charges for booking rooms at a hotel. The hotel charges different prices for a room depending on the type of room, the number of people and the number of days according to the following policy:

For a regular room: the basic charge for up to two travelers is $$180$ per day. Every additional person is $$35$ per person per day.

For a deluxe room: the basic charge for up to two travelers is $$280$ per day. Every additional person is $$45$ per person per day.

For example, the charge for a regular room for $3$ people for $2$ days will be $$180*2$ for the first two travelers and $$35*2$ for the third traveler, giving total of $$430.$ The charge for a deluxe room for a single person for a single day will be $$280.$ See sample run below.

Specifically, write a program that

Welcomes the user to the Bellevue Inn.

Asks the user for

the type of the room $(**$ASSUME USER ENTERS VALID INPUT: R$,$ r$,$ D or d $***)$

the number of travelers $(**$ASSUMER USER ENTERS A POSITIVE INTEGER$**)$

the number of days $(**$ASSUMER USER ENTERS A POSITIVE INTEGER$**)$

$($No need to validate inputs$)$

Prints the charge for that room and the total charge so far.

Prompts the user if she wants to continue with more input.

If user enters $$y$$ or $$Y$,$ repeats steps $2-4$ again, otherwise, ends the program by printing the final total charge and prints $$Bye$.$