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Congrats to Milhotep for:
A. Getting the correct answer: 042.
B. Explaining the logic behind achieving the correct answer.
C. Pointing out that clues 4 and 5 were unnecessary.
Now that got me to thinking. Why were clues 4 and 5 unnecessary? They were, in fact, unnecessary; I'm not disputing Milhotep's observation. But WHY were they unnecessary? Sometimes, you might reply, puzzles are purposely presented with unnecessary information to make the puzzle more difficult to solve. But in this case, the LAST TWO clues were unnecessary. So one could have solved the puzzle before even arriving at the unnecessary portion of the puzzle. Perhaps, I thought to myself, one of the clues were presented with mistaken information. So, with much time on my hands, I set about changing the clues so that all five clues were quite necessary to arrive at the correct answer of 042. And I think I have come up with a minimal change which requires all five clues: Change the number in the second clue from 614 to 314. Does anyone agree with me? Disagree? Could care less? Think I have too much time? Please let me know.
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042, nice to sharp our minds... thank you
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The problem is that Milhotep's logic is faulty.and the 4 must now come into play--either 48-, 84-, 4-2, or -42.Quote:
Clue 1 and Clue 2: Must be either 8 or 2. Can't be 6, because clue 2 has six--if it were correct, clue 2 says 6 is in the wrong place. So either -8- or --2, and the 4 must now come into play--either 48-, 84-, 4-2, or -42
Clue 3: There's that 6 again, and we already know it isn't right. So, must be 0 & 2. So, because they are in the wrong place, and we know the combo is --2, it must now be 042. Middle number can't be 8 because of Clue 1.
Clue 4: We didn't need this clue or the last one.
Actually, not yet. First, 84- is incorrect, since if it was 8 that was correct in clue 1 then it can't be in position 1. Second, there is nothing that is ruling out 1 - yet. After the first 2 clues it could just as easily be 1-2 or 18- or -81. And any deductions after that are incorrect simply by relying on a previous error.
The logic is:
Clue 1 - 682.
Combined with Clue 2 rules out 6. Can't be both in the right place and wrong place at the same time.
Combined with Clue 4 rules out 8. That means --2 to start.
Clue 3 - 206.
We know 2 is in third position, and 6 is incorrect. So 0 must be correct and not second position or third position. Now it's 0-2
Clue 2 - 614.
The missing number can't be 6 because that's ruled out. It has to be 4 because between 1 and 4, 4 is the only number that can be both correct and in the wrong place
Clue 5 - Irrelevant.
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oh no 042 is correct
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What do I get?
Can I get some XP to get to level 65?
Else I can stay ex-settler :D
Finally, been trying to get here forever, answer is 042
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Thank you very much for replying, Mister_Blister.
You are correct that Milhotep's logic is faulty. I was wrong. He jumps to the conclusion that '4' must be one of the digits without sound logical deduction. However, I still submit that both clues 4 and 5 are unnecessary. This is my logic:
Clues 1 and 2.
A. '6' must not be one of the digits because it cannot be both in the right place and wrong place simultaneously.
B. One of the digits must be '8' or '2', but not both.
C. One of the digits must be '1' or '4', but not both.
D. The '8' or '2' is in the right place.
E. Neither '1' nor '4' is in the right place.
Clue 3.
F. Because of statement A, '2' and '0' are both correct.
G. '2' and '0' are both in the wrong place.
Conclusions using Clues 1, 2, and 3, exclusively.
H. Combining statements B, D, and F, the solution must be --2.
I. With statements F and H, the solution must be 0-2 or -02.
J. G and I give a solution that must be 0-2.
K. C and J produce a solution that must be either 012 or 042.
Final conclusion using statements E and K: 042.
If Mister_Blister, or anyone else, can prove a solution other than 042 using only the first three clues, I would certainly love to see it. Otherwise, I would like to resubmit the suggestion in my first message of this thread that perhaps the clues were displayed to us incorrectly. Also, I resubmit the idea in my first message that a more robust puzzle could have presented to us with the second clue changed to 314.
Thanks again to Mister_Blister for replying to my first message.
"052" or "092"
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