Hit and Blow

Let's play Hit and Blow game. A imagines four numbers and B guesses the numbers. After B picks out four numbers, A answers:

• The number of numbers which have the same place with numbers A imagined (Hit)
• The number of numbers included (but different place) in the numbers A imagined (Blow)

For example, if A imagined numbers:

9 1 8 2

and B chose:

4 1 5 9

A should say 1 Hit and 1 Blow.

Write a program which reads four numbers A imagined and four numbers B chose and prints the number of Hit and Blow respectively. You may assume that the four numbers are all different and within from 0 to 9.

Input

The input consists of multiple datasets. Each dataset set consists of:

a1 a2 a3 a4 b1 b2 b3 b4

, where ai (0 ≤ ai ≤ 9) is i-th number A imagined and bi (0 ≤ bi ≤ 9) is i-th number B chose.

The input ends with EOF. The number of datasets is less than or equal to 50.

Output

For each dataset, print the number of Hit and Blow in a line. These two numbers should be separated by a space.

Example

Input

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

Output

1 1 3 0

inputFormat

Input

The input consists of multiple datasets. Each dataset set consists of:

a1 a2 a3 a4 b1 b2 b3 b4

, where ai (0 ≤ ai ≤ 9) is i-th number A imagined and bi (0 ≤ bi ≤ 9) is i-th number B chose.

The input ends with EOF. The number of datasets is less than or equal to 50.

outputFormat

Output

For each dataset, print the number of Hit and Blow in a line. These two numbers should be separated by a space.

Example

Input

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

Output

1 1 3 0

样例

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

1 1
3 0

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