Delicious Apples

Time Limit: 5000/3000 MS (Java/Others)    Memory Limit: 524288/524288 K (Java/Others)
Total Submission(s): 321    Accepted Submission(s): 95

Problem Description

There are 

 apple trees planted along a cyclic road, which is 

 metres long. Your storehouse is built at position 

 on that cyclic road.

The 

th tree is planted at position 

, clockwise from position 

. There are 

 delicious apple(s) on the 

th tree.

You only have a basket which can contain at most 

 apple(s). You are to start from your storehouse, pick all the apples and carry them back to your storehouse using your basket. What is your minimum distance travelled?

There are less than 20 huge testcases, and less than 500 small testcases.

 

Input

First line: 

, the number of testcases.

Then 

 testcases follow. In each testcase:

First line contains three integers, 

.

Next 

 lines, each line contains 

.

 

Output

Output total distance in a line for each testcase.

 

Sample Input

2 10 3 2 2 2 8 2 5 1 10 4 1 2 2 8 2 5 1 0 10000

 

Sample Output

18 26

 

解题思路:

注意到，最多仅仅有一次会绕整个圈走一次。因此，先贪心的处理左半环和右半环。然后枚举绕整圈的时候从左側摘得苹果和从右側摘得苹果的数目。

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