AL025 - Cracking Combinations

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Cracking Combinations
Puzzle Number 025
Puzzle Name Cracking Combinations
Picarats Given 30 Picarats
Type Write Answer
Location Museum Grounds
Previous Puzzle AL024 - Mutual Meeting Place
Next Puzzle AL026 - Copy Cats

This is the twenty-fifth puzzle you'll encounter in Professor Layton and the Azran Legacy. To access this puzzle, you must talk to the policeman. In order to solve this puzzle, you must figure out which number safe the police must watch closely.


[edit] Hints

Hint One
    Here are a couple of safe numbers you can create by adding together some of the numbers the thief gave:

    1 + 2 = 3
    1 + 4 = 5

    See if you can create some other safe numbers by adding together the numbers that are listed in the warning note. First, try making the numbers 1-14.

Hint Two
    If you've followed Hint 1 and used various combinations of the numbers that the note lists between 0 and 7 to create every safe number between 1 and 14, the next step is to use the 15 to try to create even bigger safe numbers!

Hint Three
    Following on from Hint 2, you should now have been able to make every number from 1 to 29 using combinations of all the numbers that the note lists from 0 to 15.

    Now, before you start trying to create even higher safe numbers, think about all the combinations you've used so far. That should reduce the amount of calculation you need to do.

Super Hint
    Simply adding together various combinations of 0, 1, 2, 4, 7, 15 and 31 allows you to create every number from 1-29 and from 31-60.

    Once you've worked that out, the answer to this puzzle should be obvious.

[edit] Messages

[edit] When Failed

Too bad.

Read the legendary safe-cracker's warning one more time, and then give it another go.

[edit] When Completed


The legendary safe-cracker is targeting safe number 30. The numbers 1 to 29 and 31 to 60 can all be made by adding together 0, 1, 2, 4, 7, 15 and 31 in various combinations.

30 is the only number between 1 and 60 that cannot be made from these numbers.

[edit] Solution

Safe number 30 is being targeted.

[edit] Progress

795 Picarats and 82 Hint Coins.

Last edited by Squiggle on 2 August 2015 at 21:42
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