Problem 3070. Pattern Recognition 3 - Variable Unit and Array Length (including cell arrays)

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You will be given various arrays, composed of numbers or strings, including cell arrays of strings. For this problem, the pattern unit length is variable, ranging from three to half the array length (the unit will be completely repeated at least once). Write a function to determine if the supplied array is a strict repeating pattern. The array will not necessarily have a length that is a multiple of the unit length.For example, [1 2 3 4 5 1 2 3 4 5 1 2 3] would return true since the first block (1:5) is strictly repeated through the remainder of the array (including the last [1 2 3]). On the other hand, 'abcabcabcabcabcabea' would return false, since the last complete block is 'abe' rather than 'abc', as indicated by the first block.This problem is a follow-on to <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3068-pattern-recognition-1-known-unit-length">Problem 3068</a> and <a href = "https://www.mathworks.com/matlabcentral/cody/problems/3069-pattern-recognition-2-known-unit-length-various-array-length-including-cell-arrays">Problem 3069</a>.

You will be given various arrays, composed of numbers or strings, including cell arrays of strings. For this problem, the pattern unit length is variable, ranging from three to half the array length (the unit will be completely repeated at least once). Write a function to determine if the supplied array is a strict repeating pattern. The array will not necessarily have a length that is a multiple of the unit length.

For example, [1 2 3 4 5 1 2 3 4 5 1 2 3] would return true since the first block (1:5) is strictly repeated through the remainder of the array (including the last [1 2 3]). On the other hand, 'abcabcabcabcabcabea' would return false, since the last complete block is 'abe' rather than 'abc', as indicated by the first block.

This problem is a follow-on to <https://www.mathworks.com/matlabcentral/cody/problems/3068-pattern-recognition-1-known-unit-length Problem 3068> and <https://www.mathworks.com/matlabcentral/cody/problems/3069-pattern-recognition-2-known-unit-length-various-array-length-including-cell-arrays Problem 3069>.

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Last Solution submitted on Oct 07, 2022

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Binbin Qi on 8 Mar 2015

array = [1 10 100 1 10 1 10 100 1 10 100 1];
in test 18, this is false, I think it should true,and you?

Alfonso Nieto-Castanon on 8 Mar 2015

The way I interpret it, the last (partial) segment in the sequence <1 10 100 1 10> <1 10 100 1 10> <100 1 ... does not match the expected pattern. The other alternative, sequence <1 10 100 1 10 1 10 100> <1 10 100 1...> has a correct partial match but it does not include a pattern that is repeated at least once...

Binbin Qi on 8 Mar 2015

thanks,I see

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Problem 3070. Pattern Recognition 3 - Variable Unit and Array Length (including cell arrays)

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