pallidin
- 2,207
- 3
Here's my stab at it:
Q to Stone 1: Which door leads to heaven?
Q to Stone 2: Which door leads to heaven?
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Now, at this point, I have established a 50/50 chance. Not bad.
So, my next step is to determine the sequencing(TFTFT or FTFTF)
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Q to Stone 3: Which doors lead to Hell?
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According to my tests on paper, here's what happens:
If the sequence is TFTFT, the STONE 3's answer will exclude one of the above previous stones numbers.
However, and this is interesting, if the hidden sequence is FTFTF, Stones 3's answer will include the same answer as the Stones 3 TFTFT answer!
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With that prize we now establish true sequencing through the next step:
Q to Stone 4: Which doors lead to Hell?
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If Stone 4's answer is different than Stone 3, the sequence is TFTFT.
If it is the same, it is FTFTF
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At this point we do not even need Stone 5. Sequencing determines which of Stone's 1 and 2 answer is correct!
---- Why this works:
First, we force a 1/5 potential into a 1/2 potential(Through the Q's to Stones 1 and 2)
Second, we force Stone 3 to answer in exactly the same way regardless of its T/F status. This works because we switch the question from being "Which door leads to heaven to Which doors lead to Hell, KNOWING that the answer is dependent on Stone 2. This causes Stone's 3 answer to be the same, regardless of TFTFT or FTFTF.
Third, we force sequencing identity by asking the same question to Stone 4 as was asked of Stone 3.
Because of the "forced" inter-relationship of the previous stones, a same answer results in FTFTF and a different being TFTFT.
If Stone 4's answer is different than Stone 3, the door to heaven is given by Stone 1.
If Stone 4's answer is the same as Stone 3, the door to heaven is given by Stone 2.
Stone 5 is not needed.
Q to Stone 1: Which door leads to heaven?
Q to Stone 2: Which door leads to heaven?
----
Now, at this point, I have established a 50/50 chance. Not bad.
So, my next step is to determine the sequencing(TFTFT or FTFTF)
----
Q to Stone 3: Which doors lead to Hell?
----
According to my tests on paper, here's what happens:
If the sequence is TFTFT, the STONE 3's answer will exclude one of the above previous stones numbers.
However, and this is interesting, if the hidden sequence is FTFTF, Stones 3's answer will include the same answer as the Stones 3 TFTFT answer!
-----
With that prize we now establish true sequencing through the next step:
Q to Stone 4: Which doors lead to Hell?
-----
If Stone 4's answer is different than Stone 3, the sequence is TFTFT.
If it is the same, it is FTFTF
----
At this point we do not even need Stone 5. Sequencing determines which of Stone's 1 and 2 answer is correct!
---- Why this works:
First, we force a 1/5 potential into a 1/2 potential(Through the Q's to Stones 1 and 2)
Second, we force Stone 3 to answer in exactly the same way regardless of its T/F status. This works because we switch the question from being "Which door leads to heaven to Which doors lead to Hell, KNOWING that the answer is dependent on Stone 2. This causes Stone's 3 answer to be the same, regardless of TFTFT or FTFTF.
Third, we force sequencing identity by asking the same question to Stone 4 as was asked of Stone 3.
Because of the "forced" inter-relationship of the previous stones, a same answer results in FTFTF and a different being TFTFT.
If Stone 4's answer is different than Stone 3, the door to heaven is given by Stone 1.
If Stone 4's answer is the same as Stone 3, the door to heaven is given by Stone 2.
Stone 5 is not needed.
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