UF020 - Making the Rounds

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Making the Rounds
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Making the Rounds
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Puzzle Number 020
Puzzle Name Making the Rounds
Picarats Given 30 Picarats
Type Circle Answer
Location Reception
Previous Puzzle UF019 - Checkerboard Bridge
Next Puzzle UF021 - Medicine Time

This is the twentieth puzzle you will encounter in Professor Layton and the Unwound Future. To access this puzzle, you must talk to Natalia. In order to solve this puzzle, you must determine which room the doctor will visit fifth.

Contents

[edit] Hints

Hint One
    Try listing all the digits used in all of the room numbers (there are 18 in total). How often can each digit be used?

Hint Two
    There are some digits that can only be used once. This means that if you're in a room with a number that contains one of these digits, the only room numbers you can proceed to are those that contain the other digit.

Hint Three
    Of the nine digits used in the room numbers, the two that can only be used once in the doctor's unique round are two and seven. The rooms that contain these digits are 29 and 71. So the doctor must visit one of these rooms first and the other one last.

Super Hint
    If the doctor starts from room 29, the order of her round will go 29, 49, 54... If she starts from 71, the order will be 71, 18, 38...

    Since rooms 29 and 71 have to come at either the start or the finish of her round, the fifth room visited will always be the same.

    So...which room is it?


[edit] Messages

[edit] When Failed

Too bad!

Study the numbers closely.

[edit] When Completed

Correct!

Room 63 is the fifth room she will visit using this unique method.

The two and seven can only be used once. The rest of the digits can be used at least twice, so the order of her round will be as shown above. Whether she starts from room 29 or 71, the fifth room visited will always be 63.

[edit] Solution

The doctor will visit room 63 fifth.

[edit] Progress

420 Picarats and 86 Hint Coins.



Last edited by Squiggle on 10 November 2015 at 03:42
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