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Count Of Substrings Having All Unique Characters

1. You are given a string. 2. You have to find the count of valid substrings of the given string. 3. Valid substring is defined as a substring that has all unique characters.

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Count Of Substrings Having All Unique Characters

easy

1. You are given a string. 2. You have to find the count of valid substrings of the given string. 3. Valid substring is defined as a substring that has all unique characters.

Constraints

1 <= length of string <= 10^5

Format

Input

A string

Output

A number representing the count of substrings having all unique characters.

Example

Sample Input

aabcbcdbca

Sample Output

24

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