DB054 - Painting the Flag

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Painting the Flag
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Painting the Flag
Puzzle Number 054
Puzzle Name Painting the Flag
Picarats Given 25 Picarats
Type Write Answer
Location Wheat Field
Previous Puzzle DB053 - Boys Club
Next Puzzle DB055 - Sammy's Necklace

This is the fifty-fourth puzzle you will encounter in Professor Layton and the Diabolical Box. To access this puzzle, you must talk to Kostya. In order to solve this puzzle, you must determine how many different designs can be painted onto the flag without having two adjacent sections being the same color.


[edit] Hints

Hint One
    You have three paints you can use on the flag, but that doesn't mean those are the only colors at your disposal.

Hint Two
    Maybe you've noticed that the white color of the flag's fabric is another color you can use in making your designs.

Hint Three
    Adding white to the three paints you have gives you four colors you can use to make flag designs.

    If the leftmost third of your flag is white, you will have a total of nine distinct designs.

[edit] Messages

[edit] When Failed

Too bad!

Give the puzzle another try.

[edit] When Completed

Sharp thinking!

Once you incorporate the white color of the unpainted flag into your designs, you actually have four colors you can work with. If you assign a color to the left third of the flag and list all designs possible, you get a total of nine variations.

Multiply this number by four, which represents the number of colors at your disposal, to get the answer: 36 variations.

[edit] Solution


There are 36 different variations that can be created.

[edit] Progress

1215 Picarats and 72 Hint Coins.

Last edited by Squiggle on 6 December 2015 at 23:23
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