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#22638. 乳牛交際舞

통계

牛的舞技很差。不過 Farmer John 發現優雅的牛常產更多奶,於是讓全部牛群上交際舞課。第一次上課,$N$ 頭公牛($1\le N\le1{,}000$)與 $N$ 頭母牛要配成舞伴。身高相近、差距小的牛是好搭檔。給定所有身高,求使全部舞伴身高差總和最小的配對。

輸入格式

  • 第 1 行:整數 $N$。
  • 第 $2..N+1$ 行:每行整數為一頭公牛身高。
  • 第 $N+2..2N+1$ 行:每行整數為一頭母牛身高。

輸出格式

  • 第 1 行:整數,最佳配對的身高差總和。

範例

輸入格式 1

4
2
8
5
5
1
4
10
7

輸出格式 1

6

說明

輸入格式

4 頭公牛身高 2、8、5、5,4 頭母牛身高 1、4、10、7。

說明 — 輸出格式

依身高,最佳配對是 2-1、8-10、5-4、5-7,身高差總和為 6。

題目作者:Brian Dean,2004

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