Write a java program that takes the numbers in $2$ sorted files and merges them into a third.

The program must merge the files. not input the $2$ files into $1$ big array, and sort them $--$so that the numbers in the output file are sorted

Input the file names, and be sure to check the file exists. no need to check if the output file exists, only the $2$ input files

after the merge is complete

read the numbers from the output file and print them to the screen

note$--$either of the $2$ input files may have more numbers than the other

extra credit

HEC

You may use $1$ dimensional arrays for the extra credit. You are on your own if you do it$.$ It can be done without arrays, using extra file$($s$)$

the numbers in the $2$ original files are not sorted, so they must be input and sorted first. Then output them back to the original files and then follow the project instructions