Avogadro
Luka is slacking again during chemistry class, while the teacher is explaining Avogadro's law. Luka first drew a table consisting of 3 rows and N columns. Then he wrote the numbers 1 to N into the first row in arbitrary order, each number appearing exactly once. In the other two rows he also
wrote integers between 1 and N, 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.
InputThe first line of input contains the integer N (1 ≤ N ≤ 100 000), the number of columns in the table. The following three lines contain N integers each, separated by single spaces. The numbers will be between 1 and N, and there will be no duplicates in the first row.
OutputOutput the smallest number of columns Luka must delete.
Input
Output
7
5 4 3 2 1 6 7
5 5 1 1 3 4 7
3 7 1 4 5 6 2 Output
4Input
Output
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 Output
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