$1.$ Write a C$++$ program that does the following:

a$.$ Create a C$++$ file with the name problem$1.$cpp$.$

b$.$ Prompt the user to enter a hurricane category number.

c$.$ Use a nested if$-$then$-$else statement to print the wind speed of the hurricane category the user entered.

For a category $1$ hurricane, the wind speed is $74-95$ mph$.$

For a category $2$ hurricane, the wind speed is $96-110$ mph$.$

For a category $3$ hurricane, the wind speed is $111-130$ mph$.$

For a category $4$ hurricane, the wind speed is $131-155$ mph$.$

For a category $5$ hurricane, the wind speed exceeds $155$ mph$.$

Sample run of the program:

Enter a category of hurricane $(1$ through $5)$: $3$

The wind speed is $111-130$ mph$.$