Write a well-documented (commented) program in Java, "RelativelyPrimeArray," that takes an integer command-line argument "n" and creates an (n+1)-by-(n+1) Boolean array "rpa" such that rpa[i][j] (for ij>0) is true if i and j are relatively prime (have no common factors), and is false otherwise. It should then output as is shown by the sample run below. If the indexes ij (for ij>0) are equal, it should output a single space. If the indexes are not equal, then it should output a "T" character if the array element specified by the indexes is true or an "F" character if it is false.

A sample run would be as follows.

> java RelativelyPrimeArray 9 1 2 3 4 5 6 7 8 9 1 TIIIIIII 2T TETETET 31T TIETTE 4 TET TETET STIIT TIIT 6TFEET TEE ZIIIIII TT 8 TFTETET T 9TIEIIETT