simple living, careful thinking, collective fun
Having computed the optimal number of moves from each position to the final one in SlidingMin, I have upgraded the game difficulty to its maximum.
There is a total of 239500800 different valid positions.
Only 3 of these positions require 53 moves to solve (not 18 positions, since for SlidingMin the blank is located at the middle right of the 3x4 grid and not in the corner as usual).
Here is the distribution:
There are many online solvers for the 15 Puzzle and variants, but people can learn how to reach an optimal solution in SlidingMin without solvers, since this game automatically increases the amount of hints it gives, thus decreasing its difficulty throughout the day, until there are only 10 moves left.
SlidingMin also rates solutions (five stars for the optimal) and allows people to play together.
Each daily challenge now requires at least 50 moves.
There are other novelties ready at GameBot.club, including the fourth and the fifth kinds of daily challenge.
I will address those in subsequent posts...
September 8, 2022