# 12 balls, logical problem (bit like a game), can you solve it?

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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Paul wrote:

No, leaves you with just one potential heavy and one potential light off the scale.

You couldn't have two balls from the first weighing off the scales if you replaced a weighed ball with an unweighed ball in the second scale. You must have three. You've only put two heavies back on the scales of the original set of four. If the scales balance, which they might do as the spy is in deep cover on the table, you can't determine from one weighing which of the three balls is the rogue if you don't also already know if the rogue is a Sandor or a Tyrion.

You got weigh closer than I did (!).

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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Paul wrote:Im clearly as good at explaining logic problems as I am at teaching games.

You did better than me! Full credit to you Paul for solving it!

By the way, I think your solution may be incomplete. Assuming the 1st weighing is unbalanced; what happens if the second weighing is balanced? Pretty straight forward and trivial really. It means one of the balls that made weighing 1, and put aside for weighing 2, is the culprit. Which is just 3 balls, and we know 1 is a potential light rouge, and the other 2 are potential heavy rouges; which you'd just weigh against each other, and Bob's your uncle!

**Jamie**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Yes, lost track of my balls there.

With 2 pot. Heavy and one pot. Light, left off the scales, if they balance you with the two pot. Heavies. If THEY balance the pot. Light is the rogue otherwise it's the heavier of the pot. Heavies.

With 2 pot. Heavy and one pot. Light, left off the scales, if they balance you with the two pot. Heavies. If THEY balance the pot. Light is the rogue otherwise it's the heavier of the pot. Heavies.

**PaulC**- Starting player token
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Also, interesting that there are multiple solutions to this!

**Jamie**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Yup, that was Sam's worry too. Luckily our solutions were the same.Jamie wrote:Paul wrote:Im clearly as good at explaining logic problems as I am at teaching games.

You did better than me! Full credit to you Paul for solving it!

By the way, I think your solution may be incomplete. Assuming the 1st weighing is unbalanced; what happens if the second weighing is balanced? Pretty straight forward and trivial really. It means one of the balls that made weighing 1, and put aside for weighing 2, is the culprit. Which is just 3 balls, and we know 1 is a potential light rouge, and the other 2 are potential heavy rouges; which you'd just weigh against each other, and Bob's your uncle!

Do I get to work for Google now?

**PaulC**- Starting player token
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Oh, duh, I get it now.

**SamVS**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Give us another one!

**SamVS**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Paul wrote:Yup, that was Sam's worry too. Luckily our solutions were the same.

They seemed a little different to me; on the second weighing, I use all 4 balls from set A (2 on each side of the scale); you're only using 3 balls from set A (2 on one side, 1 on the other). Very close though!

Paul wrote:Do I get to work for Google now?

Nope; far too clever for them!

I've got more logic puzzles; may have to wait for next Tuesday night to unleash them though; don't want to be responsible for Sam blowing a fuse!

**Jamie**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Sam wrote:Give us another one!

Okay, you asked for it! I'll post on another thread. Here you go Sam: http://www.sheffieldboardgamers.com/t612-eye-colour-problem

**Jamie**- Count of Carcassonne
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Jamie wrote:Paul wrote:Yup, that was Sam's worry too. Luckily our solutions were the same.

They seemed a little different to me; on the second weighing, I use all 4 balls from set A (2 on each side of the scale); you're only using 3 balls from set A (2 on one side, 1 on the other). Very close though!Paul wrote:Do I get to work for Google now?

Nope; far too clever for them!

I've got more logic puzzles; may have to wait for next Tuesday night to unleash them though; don't want to be responsible for Sam blowing a fuse!

I meant my solution to the sub-problem highlighted by Sam was the same as yours. Overall, yes, our solutions were different.

**PaulC**- Starting player token
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## Re: 12 balls, logical problem (bit like a game), can you solve it?

Jamie wrote:Paul wrote:Yup, that was Sam's worry too. Luckily our solutions were the same.

They seemed a little different to me; on the second weighing, I use all 4 balls from set A (2 on each side of the scale); you're only using 3 balls from set A (2 on one side, 1 on the other). Very close though!Paul wrote:Do I get to work for Google now?

Nope; far too clever for them!

I've got more logic puzzles; may have to wait for next Tuesday night to unleash them though; don't want to be responsible for Sam blowing a fuse!

**PaulC**- Starting player token
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