In the game of chess, the chess piece representing the queen can attack horizontally, vertically, and diagonally.

The standard chessboard consists of a grid of $8$ x $8$ squares. For this exercise, assume that you are provided with a smaller, blank, $4$ x $4$ chessboard and you are asked to place $4$ queens on the $4$ x $4$ chessboard such that none of the queens can attack each other.

There are multiple correct solutions to this problem. Try to find one of them and describe how you arrived at the solution.

Instructions:

You can use the following directions for posting your solution.

A $4$ x $4$ chess board has $16$ possible grid locations. Starting at the top$-$left, number the grid locations $1$ to $16$ as shown in Figure $1.$ Provide a possible solution to this problem by stating where you would place the four queens such that they don$$t attack each other $($Note that there is more than one solution, and you need to find any one of them$).$