C - Where Souls Return

  • image
  • Thoughts.
    • It’s stacked, so you can’t just remember the colors on the edges, because after they disappear, the colors inside appear.
    • There are up to 50 balls and 2^50 options.
    • Whether or not it is always okay to erase when you can.
      • It’s easy if you can prove you can turn it off.
      • If you can’t erase it, you can always erase it next time by putting it in such a way that the same color as the next color among the three colors on the left, right and current color is exposed.
      • This way, if the length is 2, the next is 1 or 3, and that 3 is always 2 next
      • Solve the short sequence by force and see if it looks OK.
    • I think I can make it about 2^21.
  • Official Explanation
    • No, there is a user commentary: https://kort0n.hatenablog.com/entry/2020/01/08/002039
    • The above procedure can maintain less than 3 pieces at all times.
    • No need to go through a complicated state because it can maintain it until the end of the station.
      • The logic is: [Optimal solution because it matches the lower boundary.

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