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Difficulty
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29

# Max Game

Difficulty: EASY
Contributed By
Avg. time to solve
25 min
Success Rate
70%

Problem Statement

#### You need to return the minimum possible penalty you can have when the game ends.

##### Input format:
``````The first line of input contains an integer 'T' denoting the number of queries or test cases.

The first line of every test case contains an integer 'N' denoting the count of numbers.

The second line of every test case contains 'N' single space-separated integers representing the numbers given to you initially.
``````
##### Output format:
``````For each test case, return the minimum possible penalty in a separate line.
``````
##### Note:
``````You do not need to print anything, it has already been taken care of. Just implement the given function.
``````
##### Constraints:
``````1 <= T <= 5
1 <= N <= 10^5
1 <= X[i] <= 10^6

Time limit: 1 second
``````
##### Sample input 1:
``````1
4
2 3 1 4
``````
##### Sample output 1:
``````19
``````
##### Explanation
``````To achieve the minimum penalty,
First, we pick 1 and 2, replace it by 3. We get { 3, 3, 4}
Second, we pick 3 and 3, replace it by 6. We get {4, 6}
Third, we pick 4 and 6, replace it by 10. We get {10}

The minimum penalty will be 3 + 6 + 10 = 19.
``````
##### Sample input 2:
``````1
5
7 6 5 5 3
``````
##### Sample output 2:
``````60
``````
Console