Problem 40. Reverse Run-Length Encoder
Given a "counting sequence" vector x, construct the original sequence y.
A counting sequence is formed by "counting" the entries in a given sequence. This is sometimes called run-length encoding.
For example, the sequence
x = 2, 5, 1, 2, 4, 1, 1, 3
can be read as
Two 5's, one 2, four 1's, one 3
which translates to
y = 5, 5, 2, 1, 1, 1, 1, 3
So y is the reconstructed vector that corresponds to the counting sequence x.
For this problem, all elements in the sequences x and y will be in the range from 1 to 9.
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5 Comments
See my function "seqle" on FileExchange. It may not be as compact, but it's easy to use and both encodes and decodes.
The problem statement would have been clearer if the principle of RLE had been explained with an encoding example first. Alternatively, it would have been useful to explicitly mention that the data in vector x is being read pairwise.
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