Shortest common supersequence: Difference between revisions

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The '''[[wp:shortest common supersequence|shortest common supersequence]]''' is a problem closely related to the [[longest common subsequence]], which you can use as an external function for this task.
The '''[[wp:shortest common supersequence|shortest common supersequence]]''' is a problem closely related to the [[longest common subsequence]], which you can use as an external function for this task.



Given two strings <math>u</math> and <math>v</math>, find the shortest possible sequence <math>s</math>, which is the shortest common supersequence of <math>u</math> and <math>v</math> where both <math>u</math> and <math>v</math> are a subsequence of <math>s</math>. Defined as such, <math>s</math> is not necessarily unique.
;Task:
Given two strings <math>u</math> and <math>v</math>, find the shortest possible sequence <math>s</math>, which is the shortest common super-sequence of <math>u</math> and <math>v</math> where both <math>u</math> and <math>v</math> are a subsequence of <math>s</math>. Defined as such, <math>s</math> is not necessarily unique.


Demonstrate this by printing <math>s</math> where <math>u = </math>“<tt>abcbdab</tt>” and <math>v = </math>“<tt>bdcaba</tt>”.
Demonstrate this by printing <math>s</math> where <math>u = </math>“<tt>abcbdab</tt>” and <math>v = </math>“<tt>bdcaba</tt>”.
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