Given a string password, compute its total strength score.

The total strength is the sum of the values contributed by each distinct character in password, according to the following scoring rules:

• Each distinct lowercase English letter contributes $1$ point.

• Each distinct uppercase English letter contributes $2$ points.

• Each distinct digit contributes $3$ points.

• Each distinct special character from "!@#$" contributes $5$ points.

Return an integer representing the total strength of password.

Constraints:

• $1 \leq$ password.length $\leq 10^5$

• password consists of lowercase and uppercase English letters, digits, and special characters from "!@#$".

Now, let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Implement your solution in the following coding playground.