Please write the program in Java if possible. If you don't know java but know another langauge that's ok.

This assignment is about exploring the validity of the solution to this question: "How many integer solutions are there to the equation x+y+z=10 for which x,y and z are greater or equal than -3?" In class and in the book, we found out that the answer to this problem is equivalent to adding 9 stars, 3 for each variable. Thus, C(21,2)=C(21,19)=210. Some of you were puzzled by this approach because you correctly noticed that the worst-case scenario is x=3,y=3 and z=16. This would suggest that we only need to add 6 stars and not 9 . Your goal is to investigate these two claims and find a final answer by doing the following: - Write a program in your preferred programming language that finds all possible solutions of the above problem and writes them into a comma delimited file with one solution per line (e.g.,0,0,10) Upload the file with your code here (saved as pdf,.pleasel). - Upload the comma delimited file with all of the possible solutions here. (saved as.csv,_please!) - Count the lines in the output file and discuss your findinas