Luka is slacking again during chemistry class, while the teacher is explaining Avogadro's law.

Luka first drew a table consisting of rows and columns. Then he wrote the numbers to into the first row in arbitrary order, each number appearing exactly once. In the other two rows he also wrote integers between and , but didn't care how many times a number appeared.

Luka can now delete any set of columns from the table. After doing so, he sorts the numbers in each row in ascending order.

He wants to obtain a table in which all three rows are identical after sorting. Write a program that determines the smallest number of columns he must delete.

#### Input Specification

The first line of input contains the integer , the number of columns in the table. The following three lines contain integers each, separated by single spaces. The numbers will be between and , and there will be no duplicates in the first row.

#### Output Specification

Output the smallest number of columns Luka must delete.

#### Scoring

In test cases worth of points, will be less than .

In test cases worth of points, will be less than .

#### Sample Input 1

```
7
5 4 3 2 1 6 7
5 5 1 1 3 4 7
3 7 1 4 5 6 2
```

#### Sample Output 1

`4`

#### Sample Input 2

```
9
1 3 5 9 8 6 2 4 7
2 1 5 6 4 9 3 4 7
3 5 1 9 8 6 2 8 7
```

#### Sample Output 2

`2`

In the first example, Luka needs to delete the second, fourth, sixth and seventh columns. After deleting the columns and sorting each row, all three rows contain the numbers , and .

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