Reverse and Compare

You have a string A = A_1 A_2 ... A_n consisting of lowercase English letters.

You can choose any two indices i and j such that 1 \leq i \leq j \leq n and reverse substring A_i A_{i+1} ... A_j.

You can perform this operation at most once.

How many different strings can you obtain?

Constraints

• 1 \leq |A| \leq 200,000
• A consists of lowercase English letters.

Input

Input is given from Standard Input in the following format:

A

Output

Print the number of different strings you can obtain by reversing any substring in A at most once.

Examples

Input

aatt

Output

5

Input

xxxxxxxxxx

Output

1

Input

abracadabra

Output

44

inputFormat

Input

Input is given from Standard Input in the following format:

A

outputFormat

Output

Print the number of different strings you can obtain by reversing any substring in A at most once.

Examples

Input

aatt

Output

5

Input

xxxxxxxxxx

Output

1

Input

abracadabra

Output

44

样例

xxxxxxxxxx

1