In C$++,$Write a program to generate Collatz sequences with a starting value given by the user, to be stored in a value of type unsigned int. The program will output the values obtained until $1$ is reached. The length of the sequence will also be given. To avoid integer overflow, include a defined constant LIMIT in your program with the value one billion. If the next value generate exceeds LIMIT then you should stop the loop and print "Limit exceeded!"

The user can continue with more starting values until they decide to quit when

Use a do$-$while loop for the outer loop. and a while loop for the inner loop. Also DO NOT USE BREAK IN THIS PROGRAM.

screenshot of a sample run with inputs $27,837799$ and $0($to quit$).$

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