Downtime Puzzle, again

[mahawirasd]

if only i had more time to figure out how to effectively overcome that possibility of you lying...

the "intelligent" and computing-intensive "way" is just too meh because one would have to think of 11 matrices containing up to 1024 numbers each...

the "dumb" way requires the question to be asked subsequently after you answering each question... trial and error basically, and the easiest way is to divide the value in half with each iteration...

gah binaries and regula falsi...

1. is it in this list (all the numbers between 1-2000 which has 1 on its right tail in binary)?
2. is it in this list (all the numbers between 1-2000 which has 1 on its 2nd value from the right in binary)?
3. is it in this list (all the numbers between 1-2000 which has 1 on its 3rd value from the right binary)?
4. is it in this list (all the numbers between 1-2000 which has 1 its 4th value from the right binary)?
and so on until Question 11:
11. is it in this list (all the numbers between 1-2000 which has 1 its 11th value from the right binary)?
then questions 12-15 would have to spot the lie... again in binaries...
12. did you lie on the 1st, 3rd, 5th, 7th, 9th, 11th question?
13. did you lie on the 2nd, 3rd, 6th, 7th, 10th, 11th question?
14. did you lie on the 4th, 5th, 6th, 7th question?
15. did you lie on the 8th, 9th, 10th, 11th question?

the last 4 questions will pinpoint on which of the first 11 questions you lied (if any) and because it's in binary code (yes-no) the corroborated values would pinpoint the secret number. However, this is still not foolproof as you can lie on one of the last four questions and really throw the calculations off...




-w-

[GM-Ayu]

However, this is still not foolproof as you can lie on one of the last four questions and really throw the calculations off...

You are exactly right

[Arie]

Wow, i remember the first downtime puzzles. They are nothing compared to this. Ayu, why have you changed? People have called you evil for a long time, but i never truly believed it until now. You are freaking awesome! =D

[mahawirasd]

well imma wait for you to spill the beans on how to solve this one Ayu, coz i gave it quite a bit of time yesterday and as you said it's not 100% foolproof...

kudos on the puzzle, the "lie" part makes it so many times harder...
but the binary part is quite easy actually... and it's really lame to see how some so-called "magicians" use simple binaries to amaze people... usually they only use up to 5 strings/cues...


-w-

PS: *bump* awaiting answer...

[Shinigami l0_0l]

somehow using binary method,,
i need 16 question..

i'm not sure if it can be solved with only 15 question
for real

(and yeah.. the binary is amazing)

[Frogboy]

wira, she didn't say there wasn't a 100% foolproof way of solving this, but rather your method wasn't 100% foolproof.

there's a method we're not thinking of to solve it with.

[Shinigami l0_0l]

how bout this ayu
(i copied some from wira coz i'm to lazy to type it from begining)

1. is it in this list (all the numbers between 1-2000 which has 1 on its right tail in binary)?
2. is it in this list (all the numbers between 1-2000 which has 1 on its 2nd value from the right in binary)?
3. is it in this list (all the numbers between 1-2000 which has 1 on its 3rd value from the right binary)?
4. is it in this list (all the numbers between 1-2000 which has 1 its 4th value from the right binary)?
and so on until Question 11:
11. is it in this list (all the numbers between 1-2000 which has 1 its 11th value from the right binary)?

and here's for the lie checker
12. did you lie on the 1st, 3rd, 5th, 7th, 9th, 11, 13, 15th question?
13. did you lie on the 2nd, 3rd, 6th, 7th, 10th, 11, 14, 15th question?
14. did you lie on the 4th, 5th, 6th, 7, 10, 12, 13, 14, 15th question?
15. did you lie on the 7-15th question?

that's all
how is it?

[Frogboy]

see i thought about that, but thing is, you haven't gotten to the future questions yet, so you can't exactly ask if they've lied about it or not as they haven't responded yet, nor is there a question readily available.

[Frogboy]

questions 12 - 15:

12. did you lie on 1, 2, 3, 5, 7, 8, 9, 10, 11?
13. did you lie on 2, 4, 5, 6, 7, 8, 10?
14. did you lie on 1, 2, 3, 4, 6, 7, 9, 10, 11?
15. did you lie on 1, 3, 4, 5, 6, 8, 9, 11?

these combinations would ensure that even if there's a lie on any of the last four questions, the liar is caught in a trap, and from there able to determine what the binary number is. i hope that's right anyway lol

[Shinigami l0_0l]

it's wrong i know~~
coz either u lie on number 9 or 1 share the same result