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Count Unique Characters of All Substrings of a Given String

Let's define a function countUniqueChars(s) that returns the number of unique characters in s.

Let's define a function countUniqueChars(s) that returns the number of unique characters in s.

Given a string s, return the sum of countUniqueChars(t) where t is a substring of s. The test cases are generated such that the answer fits in a 32-bit integer.

Notice that some substrings can be repeated so in this case you have to count the repeated ones too.

Count Unique Characters of All Substrings of a Given String diagram

Example 1

Input: s = "ABC"

Output: 10

Explanation: All possible substrings are: "A","B","C","AB","BC" and "ABC". Every substring is composed with only unique letters. Sum of lengths of all substring is 1 + 1 + 1 + 2 + 2 + 3 = 10

Example 2

Input: s = "ABA"

Output: 8

Explanation: The same as example 1, except countUniqueChars("ABA") = 1.

Example 3

Input: s = "LEETCODE"

Output: 92

Constraints

  • 1 <= s.length <= 10^5
  • s consists of uppercase English letters only.

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