CF863B.Kayaking

普及/提高-

通过率:0%

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题目描述

Vadim is really keen on travelling. Recently he heard about kayaking activity near his town and became very excited about it, so he joined a party of kayakers.

Now the party is ready to start its journey, but firstly they have to choose kayaks. There are 2n2·n people in the group (including Vadim), and they have exactly n1n-1 tandem kayaks (each of which, obviously, can carry two people) and 22 single kayaks. ii -th person's weight is wiw_{i} , and weight is an important matter in kayaking — if the difference between the weights of two people that sit in the same tandem kayak is too large, then it can crash. And, of course, people want to distribute their seats in kayaks in order to minimize the chances that kayaks will crash.

Formally, the instability of a single kayak is always 00 , and the instability of a tandem kayak is the absolute difference between weights of the people that are in this kayak. Instability of the whole journey is the total instability of all kayaks.

Help the party to determine minimum possible total instability!

输入格式

The first line contains one number nn ( 2<=n<=502<=n<=50 ).

The second line contains 2n2·n integer numbers w1w_{1} , w2w_{2} , ..., w2nw_{2n} , where wiw_{i} is weight of person ii ( 1<=wi<=10001<=w_{i}<=1000 ).

输出格式

Print minimum possible total instability.

输入输出样例

  • 输入#1

    2
    1 2 3 4
    

    输出#1

    1
    
  • 输入#2

    4
    1 3 4 6 3 4 100 200
    

    输出#2

    5
    
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