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The Ancient Map is a puzzle in Professor Layton and the Diabolical Box.

Puzzle

US Version

An ancient map depicts the possible spots of a vast fortune, as well as directions:

"Inscribe the numbers 1 through 6 in the map's blank spaces so that each set of numbers in a straight line has the same sum. You can use each number only once, and the sum must be the largest one possible. Then go to the spot marked 1, for that is where you'll find your treasure."

The number 4 has been filled in for you. Circle the area where the treasure is hidden.

UK Version

An ancient map depicts the possible spots of a vast fortune along with these directions:
"Inscribe the numbers 1 to 6 in the map's blank spaces so that each set of numbers in a straight line has the same sum. This sum must be the largest one possible given the condition described above. Then grab your shovel and race to the spot marked 1, for it is there that your treasure resides!"
The number 4 has been filled in for you. Circle the spot where the treasure is hidden.

Hints

Click a Tab to reveal the Hint.

US Version

The number 4 is already in place, so your task is to decide where the numbers 1, 2, 3, 5, and 6 go.

Remember, your goal is to make every set of numbers in a straight line add up to the same total. Pay special attention to the two lines that use the number 4, as they are crucial to solving the puzzle.

UK Version

The number 4 is already in place, so your task is to decide where the numbers 1, 2, 3, 5 and 6 go.

Remember, your goal is to make every set of numbers in a straight line add up to the same total. Pay special attention to the two lines that use the number 4, as they are crucial to solving the puzzle.

US Version

Focus your attention on the spot at the far right of the page and how if forms a line with the number 4.

Were you to insert a smaller number like 1 or 2, your total for the whole line couldn't be any larger than 6, making the puzzle unsolvable. So what should go in that far-right blank?

UK Version

Focus your attention on the spot on the far right and how it forms a line with the number 4.

Were you to insert a smaller number like 1 or 2 here, your total for the whole line couldn't be any larger than 6. With a total like that, there'd be no place for you to put the number 6, making the puzzle unsolvable. So, what should go in that far right spot?

US Version

When arranged properly, each line of numbers can add up to either 9 or 10. The puzzle asked you to use the largest sum possible, so you know you should be shooting to make each line add up to 10.

UK Version

When arranged properly, each line of numbers can add up to either 9 or 10. The puzzle asked you to use the largest sum possible, so you know you should be aiming to make each line add up to 10.

Solution

Incorrect

US Version

Are you positive each line of numbers adds up to the same total?

Oh, and what about the sum of each line? Is it the largest number possible given the conditions?

UK Version

Are you certain each line of numbers adds up to the same total?

Oh, and what about the sum of each line? Is it the largest number possible given the conditions?

Correct

You did it!

US Version

The treasure is buried in roughly the center of the map.

The sum you needed to work with was 10. You could organize the numbers so that each line added up to a total of nine, but that wouldn't get you the highest possible sum.

UK Version

The treasure is buried in roughly the centre of the map.

The sum you needed to work with was 10. You could organise the numbers so that each line added up to a total of nine, but that is not the highest possible sum.

A big thanks to http://professorlayton2walkthrough.blogspot.com

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