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Home » Compete » CodeBuzz » Palindromic Subsequences

Palindromic Subsequences

Problem code: CB03

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The problem is very simple. For every string given as input, you need to tell us the number of subsequences of it that are palindromes (need not necessarily be distinct). Note that the empty string is not a palindrome. For example, the palindromic subsequences of "aab" are: "a", "a", "b", "aa", and the method returns 4.

Input

First line contains the number of test cases T (atmost 20). Each of the next T lines contains a single string whose number of palindromic subsequences are to be printed. The maximum length of any input string is 50.

Output

For each test case, print in a single line, the number of palindromic subsequences of the input string.

Example

Input:
3
aab
dddd
thisisapalindromeemordnilapasisiht
Output:
4
15
814157


Author: moneymachine
Date Added: 16-01-2010
Time Limit: 3 sec
Source Limit: 50000 Bytes
Languages: ADA, ASM, BASH, BF, C, C99 strict, CAML, CLOJ, CLPS, CPP 4.0.0-8, CPP 4.3.2, CS2, D, ERL, F#, FORT, GO, HASK, ICK, ICON, JAR, JAVA, JS, LISP clisp, LISP sbcl, LUA, NEM, NICE, PAS fpc, PAS gpc, PERL, PERL6, PHP, PIKE, PRLG, PYTH, PYTH 3.1.2, RUBY, SCALA, SCM guile, SCM qobi, ST, TEXT, WSPC


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Comments

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i cnt make out the 15

tsam910 @ 31 Jan 2010 07:24 PM

i cnt make out the 15 palindromic subsequences of 'dddd'. could someone pls help...

for 'dddd' there are 2^4-1

imrankane2005 @ 31 Jan 2010 09:38 PM

for 'dddd' there are 2^4-1 non-empty subsequence and each such subsequence is a palindrome.

Guys I want to know that will

udbhavjain25 @ 1 Feb 2010 04:31 PM

Guys I want to know that will your Proagram works for longer Strings

like:

abcdefghijklmnopqrstuvwxyzthisisapalindromeemordnilapasisihtzyxwvutsrqponmlkjihgfedcba

 

Pls find the no of pallindromes in this String

 

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