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Count Of Distinct Palindromic Subsequences

1. You are given a string. 2. You have to print the count of distinct and non-empty palindromic subsequences in the given string. 3. Two sequences s1 and s2 are distinct if here is some i, for which ith character in s1 and s2 are different. Note -> String contains only lowercase letters. -> The answer will be in the integer range only.

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Count Of Distinct Palindromic Subsequences

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1. You are given a string. 2. You have to print the count of distinct and non-empty palindromic subsequences in the given string. 3. Two sequences s1 and s2 are distinct if here is some i, for which ith character in s1 and s2 are different. Note -> String contains only lowercase letters. -> The answer will be in the integer range only.

Constraints

1 <= length of string <= 10000

Format

Input

A String

Output

An Integer

Example

Sample Input

bccb

Sample Output

6

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