1. Write a C++ program that does the following: a. Create a C++ file with the name problem1.cpp. b. Prompts the user for an integer in the range from 2 to 5, validating the input until the user enters an integer from the range. c. Print the first 10 powers of the entered integer. Sample run of the program: Enter a number between 2 and 5: 2 248 16 32 64 128 256 512 1024