build me a simple simple simple game

I want a very simple puzzle game solver to be done. I don't care about design, art, appeal, its only for me and Im not planning on selling it. The puzzle is simple. There is a 10 by 10 grid of 100 squares. The goal is to start at the top left corner, and interact with all the squares by dragging the mouse without lifting the mouse. Theres a series of black squares around the board, you can't interact with them or you die, and you can't backtrack to previously interacted squares. So just imagine trying to draw one giant line through all the non black squares.
Like I said I don't care about design, all I care about is if the solution is solved, I'll be paying a flat fee of 100 dollars. Please message me if you're interested