A restaurant chef has prepared N dishes, each with a unique satisfaction rating. The chef must decide which dishes to serve and in what order to maximize customer satisfaction. Each dish takes exactly 1 time unit to prepare and serve. The contribution of each dish is calculated as its satisfaction rating multiplied by the time slot it's served in (1st slot, 2nd slot, etc.).

The chef can choose to discard any number of dishes and arrange the remaining ones in any order. Your task is to determine the maximum total satisfaction score achievable by optimally selecting and ordering the dishes.

Function Description: Implement the function calculateMaxSatisfaction that takes the number of dishes and an array of satisfaction ratings, and returns the maximum possible total satisfaction score.

Function Parameters:

• N: An integer representing the number of dishes available
• satisfaction: An array of N integers where each element represents the satisfaction rating of a dish

Return: An integer representing the maximum total satisfaction score achievable.

Input Format:

• The first line contains a single integer N, the number of dishes.
• The second line contains N space-separated integers representing the satisfaction ratings of each dish.

Output Format: Print a single integer the maximum total satisfaction score.

Constraints:

• 1 <= N <= 500
• -1000 <=satisfaction[i] <=1000

Sample Input 1

5
-1 -8 0 5 -9

Sample Output 1

14