#include<iostream>
using namespace std;

int main(){
  int a[4],c[4];
  while(cin>>a[0]){
    int e=0,b=0;
    for(int i=1;i<4;i++)
      cin>>a[i];
    for(int i=0;i<4;i++){
      cin >> c[i];
      for(int j=0;j<4;j++)
	if(c[i]==a[j]){
	  if(i==j)e++;
	  else b++;
	}
    }
    cout<<e<<' '<<b<<endl;
  }
  return 0;
}
### Prompt

Please formulate a cpp solution to the following problem:

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

### Response

```cpp
#include<iostream>
using namespace std;

int main(){
  int a[4],c[4];
  while(cin>>a[0]){
    int e=0,b=0;
    for(int i=1;i<4;i++)
      cin>>a[i];
    for(int i=0;i<4;i++){
      cin >> c[i];
      for(int j=0;j<4;j++)
	if(c[i]==a[j]){
	  if(i==j)e++;
	  else b++;
	}
    }
    cout<<e<<' '<<b<<endl;
  }
  return 0;
}
```