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{{Distinguish|Longest palindromic substring}}
 
{{Distinguish|Longest palindromic substring}}
  
The '''longest palindromic subsequence''' (LPS) problem is the problem of finding the longest [[subsequence]] of a string (a subsequence is obtained by deleting some of the characters from a string without reordering the remaining characters) which is also a palindrome. In general, the longest palindromic subsequence is not unique. For example, the string '''alfalfa''' has four palindromic subsequences of length 5: '''alala''', '''afafa''', '''alfla''', and '''aflfa'''. However, it does not have any palindromic subsequences longer than five characters. Therefore all four are considered longest palindromic subsequences of '''alfalfa'''.
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The '''longest palindromic subsequence''' (LPS) problem is the problem of finding the longest [[subsequence]] of a string (a subsequence is obtained by deleting some of the characters from a string without reordering the remaining characters) which is also a palindrome. In general, the longest palindromic subsequence is not unique. For example, the string '''alfalfa''' has four palindromic subsequences of length 5: '''alala''', '''afafa''', '''alfla''', and '''aflfa'''. However, it does not have any palindromic subsequences longer than five characters. Therefore all four are considred longest palindromic subsequences of '''alfalfa'''.
  
 
==Precise statement==
 
==Precise statement==

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