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
yash_490: 2020-09-15 13:04:15

did anybody get AC with python?

saurabh_shinde: 2020-09-14 21:16:04

Nice DP problem , understand the problem "Longest palindromic sub sequence", just modification to equation and there you have it.. smoking bottom up DP solution

petr_ivashkov: 2020-08-25 10:19:48

good DP problem

deerawat: 2020-08-03 10:00:12

AC in second go!!
Simple recursion with good observation

tropo_sphere: 2020-07-30 04:12:41

First and last character of palindrome are equal. use that to form recursion tree.

pradeep_7: 2020-06-29 15:30:18

Last edit: 2020-06-29 15:43:38
ayush_12349: 2020-06-27 13:10:33

Why does the top-down approach not work?
The solution is getting accepted only in the iterative or bottom-up approach.

arnab1729: 2020-05-21 08:43:52

what are the constraints?

noobmaster__69: 2020-05-16 20:01:15

Aibohphobia is a funny name for this disease

avsd_47: 2020-05-07 12:18:56

don't wanna see answer hide comments:)


Added by:Matthew Reeder
Date:2006-10-29
Time limit:1.940s
Source limit:30000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ERL JS-RHINO NODEJS PERL6 VB.NET
Resource:Al-Khawarizm 2006