An escape game requires that playen solve various puzzles to obtain otjecis that will aid them in estaping in one such puzzle, players are given an array of integers and a set of rules to follow in order. Here are the instructions given to the players: "Given an array of integer values, maximize the points earned using the following method

Choose a value v$.$ Delete alf elements of that value and add their sum to the points.

Delete all elements equal to $v+1$ or $v-1$ for no points.

Repeat steps $1$ and $2$ und there are no more elements in the array

Calculate the maximum number of points that can be achieved by following these rules for an $x^{\frac{1}{x}}$ of values.