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Sequence puzzle


I am trying to help my son solve a sequence puzzle.  I tried the "read the line" on this one and still can't figure it out.  

The below is a number puzzle. It should be read left to right, top to bottom.

Question 1 What is the next two rows of numbers.

Question 2 How was this reached.


1 1

2 1

1 2 1 1

1 2 3 1

1 3 1 2 2 1



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It's very similar to the "read the line" solution, just in reverse.


one one

two one

one two, and one one

one two, and three ones

one three, one two, and two ones

one three, two twos, and three ones (1 3 2 2 3 1)

two threes, two twos, and two ones (2 3 2 2 2 1)

one three, four twos, one one (1 3 4 2 1 1)

and so on and so forth. The trick is that the largest number comes first, and then it descends. So instead of the read write sequence breaking up, say, 1 2 1 1 into one one, one two, two ones, this sequence breaks it up into one two and three ones.



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