AIBOHP  Aibohphobia
BuggyD suffers from AIBOHPHOBIA  the fear of Palindromes. A palindrome is a string that reads the same forward and backward.
To cure him of this fatal disease, doctors from all over the world discussed his fear and decided to expose him to large number of palindromes. To do this, they decided to play a game with BuggyD. The rules of the game are as follows:
BuggyD has to supply a string S. The doctors have to add or insert characters to the string to make it a palindrome. Characters can be inserted anywhere in the string.
The doctors took this game very lightly and just appended the reverse of S to the end of S, thus making it a palindrome. For example, if S = "fft", the doctors change the string to "ffttff".
Nowadays, BuggyD is cured of the disease (having been exposed to a large number of palindromes), but he still wants to continue the game by his rules. He now asks the doctors to insert the minimum number of characters needed to make S a palindrome. Help the doctors accomplish this task.
For instance, if S = "fft", the doctors should change the string to "tfft", adding only 1 character.
Input
The first line of the input contains an integer t, the number of test cases. t test cases follow.
Each test case consists of one line, the string S. The length of S will be no more than 6100 characters, and S will contain no whitespace characters.
Output
For each test case output one line containing a single integer denoting the minimum number of characters that must be inserted into S to make it a palindrome.
Example
Input: 1 fft Output: 1
hide comments
problem_solved:
20190129 14:02:53
AC without LCS, just always consider the first and the last letters. Good luck. 

naduhrin78:
20190111 00:36:07
@cypher33 Number of insertions = length of nonpalindromic subsequence. You can find longest palindromic subsequence using lcs of the reverse of string. Figure rest out. Last edit: 20190111 00:36:26 

cypher33:
20190109 15:43:27
@md_meraj1319 can u explain why this formula works? 

md_meraj1319:
20181226 06:46:38
mayank_75 (length_of_given_string)lcs(given_string,reverse_of_given_string) 

aadichai22:
20181222 19:26:08
Apply top down DP. You can also use LCS. 

xxfalconxx:
20181212 08:10:56
simple dp, declare globally 

akash13s:
20181208 16:18:22
Nice question.Solved it using LCS . 

aayu97:
20181125 07:02:54
AC in one go :) 

itssanat:
20181027 22:31:29
AC in one go :) !!! 

vaibnak:
20180913 06:36:24
won`t fft be a palindrome in itself i.e ftf, so the answer must be 0. 
Added by:  Matthew Reeder 
Date:  20061029 
Time limit:  1.940s 
Source limit:  30000B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: ERL JSRHINO NODEJS PERL6 VB.NET 
Resource:  AlKhawarizm 2006 