CV131 - Heavier or Lighter?

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Heavier or Lighter?
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Puzzle Number 131
Puzzle Name Heavier or Lighter?
Picarats Given 99 Picarats
Type Scale
Location Layton's Challenges
Previous Puzzle CV130 - Too Many Queens 5
Next Puzzle CV132 - Princess in a Box 2

This is the one hundred and thirty-first puzzle that appears in Professor Layton and the Curious Village. This puzzle can be accessed through Professor Layton's Challenges. In order to solve this puzzle, you must use the scale to determine which weight is different to the others.

Contents

[edit] Hints

Hint One
    There is no one definitive way to solve this puzzle, but it's best to start by putting four weights on each side of the scale.

    If the scale tips one direction, you know that the four weights off the scale don't contain the weight you are looking for.

    If the scale stays level, you know that one of the four weights you didn't load on the scale is the irregular weight.

Hint Two
    If the scale tips after you weigh eight weights in the fashion described in the first hint, take one set of weights off the scale and keep the other four where they are. Next, put the four unweighed weights on the empty side of the scale.<br.
    If you make it this far, all you need to do is narrow the possible choices down one more time in the next step.

Hint Three
    If your scale doesn't tip after your second weighing as described in the earlier hint, you know the odd weight is somewhere within the four weights you took off the scale. If the scale tips in the same direction as before, you know that the irregular weight is somewhere within the four weights that you kept on the scale. If it tips in the opposite direction than before, the weight you seek is one of the four you loaded on the scale before the second weighing.


[edit] Messages

[edit] When Failed

Too bad.

The irregular weight changes each time you try the problem. Think about what you need to do and try again.

[edit] When Completed

That's correct!

This challenging problem is well known to many puzzle aficionados. If you're lucky, it's possible to find the answer without too much work.

Think of how you could do this if you could use the scale as many times as you wanted.

[edit] Step-By-Step Solution

Place weights 1, 2, 3, and 4 on the left, and weights 5, 6, 7, and 8 on the right.
If the scales are even, go to Weighing 2.1.
If the left side is lighter, go to Weighing 2.2.
If the right side is lighter, go to Weighing 2.3.

[edit] Weighing 2.1

Place weights 1, 2, and 3 on the left, and weights 9, 10, and 11 on the right.
If the scales are even, then the answer is weight 12.
If the left side is lighter, go to Weighing 3.1.
If the right side is lighter, go to Weighing 3.2.

[edit] Weighing 2.2

Place weights 1, 2, and 9 on the left, and weights 3, 4, and 5 on the right.
If the scales are even, go to Weighing 3.3.
If the left side is lighter, go to Weighing 3.4.
If the right side is lighter, go to Weighing 3.5.

[edit] Weighing 2.3

Place weights 1, 2, and 9 on the left, and weights 3, 4, and 5 on the right.
If the scales are even, go to Weighing 3.6.
If the left side is lighter, go to Weighing 3.7.
If the right side is lighter, go to Weighing 3.8.

[edit] Weighing 3.1

Place weight 9 on the left, and weight 10 on the right.
If the scales are even, then the answer is weight 11.
If the left side is lighter, then the answer is weight 10.
If the right side is lighter, then the answer is weight 9.

[edit] Weighing 3.2

Place weight 9 on the left, and weight 10 on the right.
If the scales are even, then the answer is weight 11.
If the left side is lighter, then the answer is weight 9.
If the right side is lighter, then the answer is weight 10.

[edit] Weighing 3.3

Place weight 6 on the left, and weight 7 on the right.
If the scales are even, then the answer is weight 8.
If the left side is lighter, then the answer is weight 7.
If the right side is lighter, then the answer is weight 6.

[edit] Weighing 3.4

Place weights 1 and 5 on the left, and weight 3 and 4 on the right.
If the scales are even, then the answer is weight 2.
If the left side is lighter, then the answer is weight 1.
If the right side is lighter, then the answer is weight 5.

[edit] Weighing 3.5

Place weight 3 on the left, and weight 4 on the right.
If the left side is lighter, then the answer is weight 3.
If the right side is lighter, then the answer is weight 4.

[edit] Weighing 3.6

Place weight 6 on the left, and weight 7 on the right.
If the scales are even, then the answer is weight 8.
If the left side is lighter, then the answer is weight 6.
If the right side is lighter, then the answer is weight 7.

[edit] Weighing 3.7

Place weight 3 on the left, and weight 4 on the right.
If the left side is lighter, then the answer is weight 4.
If the right side is lighter, then the answer is weight 3.

[edit] Weighing 3.8

Place weights 1 and 5 on the left, and weights 3 and 4 on the right.
If the scales are even, then the answer is weight 2.
If the left side is lighter, then the answer is weight 5.
If the right side is lighter, then the answer is weight 1.

[edit] Progress

4785 Picarats and 200 Hint Coins.



Last edited by Squiggle on 7 January 2016 at 03:53
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