Our daughter recently conned my wife and I into purchasing interlocking foam squares for her bedroom floor. On each square is a different letter of the alphabet. To cover her entire floor we had to purchase 4 packages. After moving all her furniture to one side of the room I commenced laying out the squares. When I got to the 'K' square in the first package our daughter asked, "How many words can it make?"
With a grid measuring 8 x 13 my question would seem somewhat elementary:
Given 4 packages of interlocking foam squares, with each package containing 26 interlocking pieces, each bearing a different letter of the alphabet A-Z, and using standard word search rules, what is the optimal arrangement of letters such that it yields the maximum number of distinct words?
For reasons too ridiculous to mention one of the perimeter rows measuring 13 must contain two of the "B"'s side by side... See diagram
I thought there might be a computer I could pose the problem to?