In Conway's Game of Life, there is an infinite square grid of cells, each of which is alive or dead. The pattern changes each "generation". A dead cell with exactly 3 live neighbors (orthogonal or diagonal) becomes a live cell. A live cell only lives to the next generation if it has 2 or 3 live neighbors. These simple rules lead to very complex behaviors. The most well-known pattern is the glider, a pattern that moves diagonally one cell every 4 generations and looks like this:
Your task is to create two patterns which will eventually result in an empty board when by themselves (a.k.a. a diehard), but when combined in a certain non-bordering and non-overlapping arrangement, eventually spawn a single glider and nothing else.
Rules and Scoring
- Each of the lone diehards must fit all live cells within a 100x100 cell box and may not contain more than 100 live cells.
- The combination glider synthesizer must contain both diehards such that their bounding boxes surrounding all live cells are separated by at least one dead cell.
- It does not matter which direction the single glider is facing
- Your score is the sum of the number of generations it takes to reach an empty board from the initial states for the diehards, plus the number of generations it takes to reach a state where there is exactly one glider and nothing else (i.e. there are exactly 5 live cells on the board in a glider pattern) for the combined glider synthesizer. Highest score wins.