UVa 10192
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[edit] 10192 - Vacation
[edit] Summary
This might at first seems like a Graph Theory problem, but it is actually a simple Longest Common Subsequence (Dynamic Programming) problem.
[edit] Explanation
This is a simple Longest Common Subsequence (Dynamic Programming) problem, since this is the trip that would preserve the longest order of either recommendation.
[edit] Input
abcd acdb abcd dacb #
[edit] Output
Case #1: you can visit at most 3 cities. Case #2: you can visit at most 2 cities.