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Problem Brief

Maximize Total Memory Points

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FastPrep.io Academy has recently introduced an exciting new course focused on Quantum Physics, providing learners with an opportunity to explore the fascinating world of quantum mechanics and its applications.🙂‍↔️

However, the course follows a specific requirement: before studying the i-th chapter, the student must revisit all the previous chapters. This means that when reading the i-th chapter, the student accumulates a total of:

Students have the flexibility to read the chapters in any order and aim to maximize their total memory points. The goal is to determine the maximum possible total memory points a student can accumulate while ensuring that all chapters are read at least once.

Your task is to find and return the highest possible total memory points that a student can achieve by choosing the optimal reading order.

The highest possible total memory points that can be accumulated throughout the course is 26.

1Example 1

Input

memory = [3, 4, 5]

Output

Explanation

Considering all permutations of reading the chapters and their total memory points: • [3, 4, 5] → Corresponding memory points will be [3, 7, 12], thus total memory points will be 3 + 7 + 12 = 21 • [3, 5, 4] → Corresponding memory points will be [3, 8, 12], thus total memory points will be 3 + 8 + 12 = 23 • [4, 3, 5] → Corresponding memory points will be [4, 7, 12], thus total memory points will be 4 + 7 + 12 = 23 • [4, 5, 3] → Corresponding memory points will be [4, 9, 12], thus total memory points will be 4 + 9 + 12 = 25 • [5, 3, 4] → Corresponding memory points will be [5, 8, 12], thus total memory points will be 5 + 8 + 12 = 25 • [5, 4, 3] → Corresponding memory points will be [5, 9, 12], thus total memory points will be 5 + 9 + 12 = 26

Constraints

Limits and guarantees your solution can rely on.

1 ≤ n ≤ 10^5
-10^3 ≤ memory[i] ≤ 10^3

Maximize Total Memory Points

1Example 1

Constraints

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