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A Boatload of Trouble is a puzzle in Professor Layton and the Azran Legacy. The puzzle must be solved in order to progress the story.

Puzzle

A boatbuilder has received an urgent request for six boats, each of which will require ten logs to build.

The boatbuilder heads down to the timber merchant, only to find that he must buy his logs for adjacent at a time and that the pallets don't have a set number of logs.

Can you help the poor boatbuilder by dividing the timber into six four-pallet loads, each containing ten logs?

Hints




Click a Tab to reveal the Hint.

Each pallet contains between one and five logs. You need to work out how to combine the pallets so the total number adds up to ten each time.

There are many ways of combining four numbers between one and five to that they add up to ten. In this puzzle, however, only three of those combinations are used. One of the combinations used is 1 + 2 + 2 + 5. Can you work out the other two?

The three four-pallet combinations used here are as follows:

1 + 2 + 2 + 5

1 + 1 + 3 + 5

1 + 2 + 3 + 4

There aren't that many pallets in the yard. Start by making four-pallet sets using pallets that have five logs.

None of the four-pallet sets you need to make involve two adjacent pallets with the same number of logs.

For example, if you've for two three-log pallets right next to each other, you know that they need to be in different sets.

Let's start with the corners. Combine four pallets along the bottom, including the one in the bottom-right corner. This should be a 2 + 1 + 4 + 3 = 10 combination.

Next up, create an L-shaped set in the bottom-left corner: 1 + 5 + 3 + 1 = 10.

Now you've only got four sets left to make!


Solution

Correct

Crafty!

Without those boats, the merchant's profits would have taken a real dive!

AL057
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