Problem Statement

You are given integer sequences, each of length N: $A = (A_1, A_2, \dots, A_N)$ and $B = (B_1, B_2, \dots, B_N)$.
All elements of A are different. All elements of B are different, too.
Print the following two values.

• The number of integers contained in both A and B, appearing at the same position in the two sequences. In other words, the number of integers i such that A_i = B_i.
• The number of integers contained in both A and B, appearing at different positions in the two sequences. In other words, the number of pairs of integers (i, j) such that A_i = B_j and $i \neq j$.

Input

Input is given from Standard Input in the following format:
N
$A_1 A_2 \dots A_N$
$B_1 B_2 \dots B_N$

Output

Print the answers in two lines: the answer to1. in the first line, and the answer to2. in the second line.

Constraints

• $1 \leq N \leq 1000$
• $1 \leq A_i \leq 10^9$
• $1 \leq B_i \leq 10^9$
• $A_1, A_2, \dots, A_N$ are all different.
• $B_1, B_2, \dots, B_N$ are all different.
• All values in input are integers.

Sample Input 1

4
1 3 5 2
2 3 1 4

Sample Output 1

1
2

There is one integer contained in both A and B, appearing at the same position in the two sequences: A_2 = B_2 = 3.
There are two integers contained in both A and B, appearing at different positions in the two sequences: A_1 = B_3 = 1 and A_4 = B_1 = 2.

Sample Input 2

3
1 2 3
4 5 6

Sample Output 2

0
0

In both 1. and 2., no integer satisfies the condition.

Sample Input 3

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

Sample Output 3

3
2

见题面 Input 部分

见题面 Output 部分