Creating Strings II

• Time limit: 1.00 s
• Memory limit: 512 MB

Given a string, your task is to calculate the number of different strings that can be created using its characters.

Input

The only input line has a string of length $n$. Each character is between a–z.

Output

Print the number of different strings modulo $10^9+7$.

Constraints

• $1 \le n \le 10^6$
  

Example

Input:
aabac

Output:
20