LS073 - Bottle Game

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Bottle Game
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Puzzle Number 073
Puzzle Name Bottle Game
Picarats Given 45 Picarats
Type Strategy
Location Hotel Lobby
Previous Puzzle LS072 - Checkerboard Caps
Next Puzzle LS074 - Emergency Lighting

This is the seventy-third puzzle in Professor Layton and the Last Specter. To access this puzzle, you must talk to Joseph. In order to solve this puzzle, you must take turns removing bottles from the counter, leaving the loser to take the last one.

Contents

[edit] Hints

Hint One
    Experiment by taking different numbers of bottles. Can you make out any significant patterns?

Hint Two
    If is possible for the player who goes first to win this game every time.

    You need to be sure to leave only one bottle on your last turn. Think about how many bottles you would need to leave on the turn before last to make that possible.

Hint Three
    If you can arrange it so that there are five bottles left before one of your opponent's turns, you can win. So how many bottles would you need to leave on the turn before that?

    Just work your way backward until you know how many bottles you need to leave on the counter after your first turn.

Super Hint
    On your first turn, you should take two bottles, leaving 13. The number of bottles you should leave at the end of each turn is:
    1st turn: 13 bottles
    2nd turn: ? bottles
    3rd turn: 5 bottles
    4th turn : 1 bottle
    Just work how many bottles you should leave at the end of your second turn!


[edit] Messages

[edit] When Failed

You cannot fail this puzzle.

[edit] When Completed

Well done!

It's important to take two bottles on your first turn. Then if you leave 13 bottles, then 9, then 5, and then finally 1 bottle, you will win.

[edit] Solution

  • Take two bottles.
  • On the remaining turns:
    • If Joseph takes one bottle, take three bottles.
    • If Joseph takes two bottles, take two bottles.
    • If Joseph takes three bottles, take one bottle.

[edit] Progress

2805 Picarats and 264 Hint Coins.



Last edited by Squiggle today at 19:57
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