CV116 - The Largest Total

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The Largest Total
116T.gif
116B.gif
Puzzle Number 116
Puzzle Name The Largest Total
Picarats Given 50 Picarats
Type Write Answer
Location Shack Path
Previous Puzzle CV115 - Odd Box Out
Next Puzzle CV117 - Painting a Cube

This is the one hundred and sixteenth puzzle that appears in Professor Layton and the Curious Village. To access this puzzle, you must examine the right-facing window of the shack. In order to solve this puzzle, you must determine the center number when nine numbers between 1 and 51 are arranged on the board to yield the highest total horizontally, vertically, and diagonally.

Contents

[edit] Hints

Hint One
    There are 51 numbers you can choose from, but since you're trying to get the largest total possible, you might want to try the bigger numbers first.

Hint Two
    As stated in Hint One, you should place large numbers in your square.

    Use the numbers 43 through 51 when formulating your answer.

Hint Three
    It might not seem obvious at first, but the center number is used in every single tabulation. Since you're trying to get the largest sums possible, doesn't it make sense to put the largest number right in the middle?


[edit] Messages

[edit] When Failed

Give it another shot!

Are you sure that you've found the number that gives you the largest total when added vertically, horizontally, and diagonally?

What should your total be?

[edit] When Completed

Great job!

To get the largest total possible from any three vertical, horizontal, or diagonal numbers, you should place the largest number available in the middle square.

Once you've decided on that as your middle number, all you need to do is test whether you can complete the square.

The full solution should look something like the diagram above.

[edit] Solution

116ST.gif

51 should go in the center.

[edit] Progress

3505 Picarats and 177 Hint Coins.



Last edited by Squiggle on 6 January 2016 at 02:33
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