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Any kind of cheating or use of AI is strictly prohibited. Yo…

Any kind of cheating or use of AI is strictly prohibited. You should not discuss anything with your classmates. If you have any question please ask me. If I find any cheating in your submission, you will get a 0. Please write a Java program to compute the factorial of a list of numbers. The skeleton of the code should look like   public Class Factorial {     public static void main(String args[])     {     }     public static int calcFact(int number)      {         //this function will be invoked for each number in the range. The function takes an integer and returns an integer     } } Since you are using the Programiz you have to copy the code from the programiz window and paste it inside the given box. Click here for Programiz You need to ask the user to input the range.  Ask the user for two numbers: (1) the lower limit, let’s call it start, and (2) the higher limit, let’s call it end.  The start is an integer that denotes the first number in the series for which one would like to compute the factorial, and the end is the last number in the series (include that number as well). Also, the start should be smaller and equal to the end, and both the start and end are positive integers greater than 1 and less than 15. For example If the user input for start is 3 and end is 5 then you should call the function calcFact three times calcFact (3) calcFact(4) calcFact(5) The value the function will return must be printed out from the main. You must not print the result from the calcFact function. Now, The logic i.e. how the factorial is calculated: The factorial of any number n is  = n*(n-1)*(n-2)*…..*3*2*1 So for the number 3, the factorial will be = 3*2*1 =6 for the number 4, the factorial will be = 4*3*2*1 =24 for the number 5, the factorial will be = 5*4*3*2*1 =120 The main function should display the output in the following way: The factorial of 3 is = 6 The factorial of 4 is = 24 The factorial of 3 is = 120 Input Requirements: (1) Your program should ensure that the user input is a positive integer and nothing else. (2) both user inputs must be greater than 1 and less than 15. (3) Also, ensure the start is less than the end. (4) If the user does not do it right, then you should give them a chance until they comply with the requirement. Range must be dynamic and user-driven: The range allowed in your program must be dynamic.  For example, if the user defines the start as 2 and the end as 10, then you should calculate the factorial for 9 numbers 2,3,4,5,6,7,8,9,10. Again if the user defines the start as 5 and the end as 6, then you need to calculate it for two numbers, 5 and 6.  Here is the rubric for grading: For input requirement: 40 Correct logic on how to calculate the factorial: 30 Printing the output from the main following the display shown above: 10 calcFact takes one input and returns the factorial to the main to be printed: 10 Proper variable naming, code indentation, and commenting. 5 [Donot use excessive commenting] The range allowed in your program must be dynamic, without any hard coding. 5   You should paste the code in the response section. Do not use share in the program as it may not retain your code, and if I do not see your code, you will get a zero on the exam. So DON’T SHARE; instead, copy and paste the code in the answer.