Add more, smarter bots

[PWardell86]

Bots to add

• Simple bot --> Just flags and reveals tiles based on how many tiles are already flagged or revealed near it.
• Smart bot --> Can recognize different situations and will take it's best guess when it has to
• Random bot

Updates

• Added SimpleBot. Just flags tiles and reveal them if it can. No special rules
• Added IntermediateBot. Recognizes two patterns and uses all rules from simple bot too
• New idea for SuperiorBot --> uses probability
• New idea for NoFlagBot --> Will not flag any tiles and attempt to finish

[PWardell86]

SuperiorBot --> Bot with probabilities

Keep a 2 dimensional array to represent the probabilities of each tile being a bomb. Can ignore flagged, and reveal tiles...
Go through each revealed tile and check if it has any unrevealed tiles near it. For each of those tiles mark down the probability that it is a bomb.
Formula where:
V = value of tile
F = flags near the tile
H = # of unrevealed tiles near this tile
P = existing probability of the tile

To find the probability of tiles near one tile not considering anything else...
P = (V - F) / H

If the tile already has a probability...
Suppose we see that from two different reveal tiles, tile A and tile B, they each give a probability for the same tile. The resulting probability of the tile will then be
Pab = P(A) + P(B) * (1 - P(A))

If you have tile C to consider, it will look like:
Pabc = Pab + P(C) * (1 - Pab)

Expand for any amount of tiles