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Old 06-20-2010, 03:47 PM   #16
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I now know the answer (Paul having kindly explained it to me by PM), but I wouldn't have got this myself in a million years. Logic, probability, etc, I can do. When it comes to puzzles like this I just have a complete mental "blind spot".
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Old 06-20-2010, 03:52 PM   #17
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Originally Posted by HarryT View Post
I now know the answer (Paul having kindly explained it to me by PM), but I wouldn't have got this myself in a million years. Logic, probability, etc, I can do. When it comes to puzzles like this I just have a complete mental "blind spot".
Then just for HarryT, the next one will be a probability puzzle. I promise it'll be simpler than the Tuesday Boys one. But perhaps just as surprising...
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Old 06-20-2010, 03:56 PM   #18
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What is the next number in this sequence?

1
11
21
1211
111221
312211
13112221

Answers in spoiler tags as usual, please.

I found this puzzle while wandering various puzzle pages, but I can no longer remember which web page was the one where I first found it.
ok, i am posting my answer to this before reading any clues or spoiler tags ! i am not sure i'm right but the answer jumped out at me so i'm taking a chance...

Spoiler:

my answer : the next number should be 1113213211
starting from the second line, each line of numbers describes the line of numbers above it, giving the quantity of each digit present, in order, reading from left to right.


now, off to read all the spoiler tags and see if i'm right.
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Old 06-20-2010, 03:56 PM   #19
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Originally Posted by HarryT View Post
I now know the answer (Paul having kindly explained it to me by PM), but I wouldn't have got this myself in a million years. Logic, probability, etc, I can do. When it comes to puzzles like this I just have a complete mental "blind spot".
I am the exact opposite, Harry. Logic and probability drive me crazy, because I always question everything with a "what if" or a "yes, but" as I try to figure it out, then I get lost in the reasoning.
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Old 06-20-2010, 03:59 PM   #20
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woohoo ! having now read all the spoiler tags, most notably dreams' (who pushed her answer a lot further than i did !) i am pretty confident that i've got the right answer. excellent puzzle pdurrant ! thank you !
Last edited by zelda_pinwheel; 06-20-2010 at 04:01 PM.
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Old 06-20-2010, 04:11 PM   #21
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woohoo ! having now read all the spoiler tags, most notably dreams' (who pushed her answer a lot further than i did !) i am pretty confident that i've got the right answer. excellent puzzle pdurrant ! thank you !
Yes, you got the answer too, and expressed the solution in pretty much exactly the words I'll use tomorrow. Congratulations!
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Old 06-21-2010, 08:14 AM   #22
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What is the next number in this sequence?

1
11
21
1211
111221
312211
13112221
The next number is:
Spoiler:


1113213211

It might be clearer if I wrote the numbers in a slightly different way:


1
11
21
12 11
11 12 21
31 22 11
13 11 22 21
11 13 21 32 11

and even clearer (for English speakers) if I add more spaces and some commas and 's's:


1
1 1
2 1s
1 2, 1 1
1 1, 1 2, 2 1s
3 1s, 2 2s, 1 1
1 3, 1 1, 2 2s, 2 1s
1 1, 1 3, 2 1s, 3 2s, 1 1

yes - each number (after the first) is a description of the previous number:

Congratulations to those who got it.
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