JAVA - Question: COVID cases (100 points) The coronavirus pandemic has affected our lives, our economy, and nearly every corner of the globe. In country A, we found that the COVID cases are growing in a specific pattern. The cases triple in even months and double in odd months. Please see the following for the first 12 months assuming the start cases is three. Month 1

Month	1	2	3	4	5	6	7	8	9	10	11	12
cases	3	9	18	54	108	324	648	1944	3888	11664	23328	69984

in the starter code, you need to complete the two methods: JAVA getCases and getNumMonth. The getCases method should return the number of cases given the start cases and the target month.

For example, getCases(3,7) should return 648

getCases(3,12) should return 69984

The getNumMonth is the recursive method that returns the month of the cases collected. The first argument is the number of cases and the second argument is the start cases.

For example,

getNumMonth(3888, 3) should return 9.

getNumMonth(23328, 3) should return 11.