# The next line is...

Virak
Posers and Puzzles 23 Oct '05 18:57
1. 23 Oct '05 18:57
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1

The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.
2. royalchicken
CHAOS GHOST!!!
23 Oct '05 19:01
Originally posted by Virak
1
1 1
2 1
1 2 1 1
1 1 1 2 2 1

The problem is to find the next line. I can give the next line but then you must give the one after that. Effectively the real challenge is to get the rule for generating lines.
312211

Hint: a 4 will never appear in this sequence.
3. gaurav2711
walking...
23 Oct '05 19:53
Originally posted by royalchicken
312211

Hint: a 4 will never appear in this sequence.
3312211
4. royalchicken
CHAOS GHOST!!!
23 Oct '05 20:28
Originally posted by gaurav2711
3312211
"three ones, two twos, one one"

Of course, there are uncountably many correct answers to this puzzle.
5. Nemesio
Ursulakantor
24 Oct '05 07:45
Originally posted by royalchicken
312211

Hint: a 4 will never appear in this sequence.
13112221
1112213211
312211131221
1311223113112211
11132122132113212221
3113121122111312211312113211

Gee whiz!

Why is it that a four will never appear? I mean, how does one mathematically
express/prove such a thing? (not that I disbelieve you!)

Nemesio
6. AThousandYoung
All My Soldiers...
24 Oct '05 08:24
Originally posted by Nemesio
13112221
1112213211
312211131221
1311223113112211
11132122132113212221
3113121122111312211312113211

Gee whiz!

Why is it that a four will never appear? I mean, how does one mathematically
express/prove such a thing? (not that I disbelieve you!)

Nemesio
That's a new Poser/Puzzle! It grew naturally out of the original one!
7. 24 Oct '05 20:46
if a line has a 4, then the previous line must contain the sequence nnnn

this parses as either:
...n's, n n's, n...
or ... n n's, n n's

both of which are illegal
8. 24 Oct '05 21:26
The really long string of lines is correct.
Not going to expose the rule (publically) yet though. If anyone wants it then pm me.