#include <iostream>
#include <string>
using namespace std;
int main(){
int a[4];
int b[4];
int c;
int d;
int e;
int f;
while(cin >>a[0]>>a[1]>>a[2]>>a[3]>>b[0]>>b[1]>>b[2]>>b[3]){
e=0;
f=0;
c=0;
while(c<4){
d=0;
while(d<4){
if(a[c]==b[d]){if(c==d){e=e+1;} else{f=f+1;}}
d=d+1;}
c=c+1;}
cout <<e<<" "<<f<<endl;
}}
### Prompt

In Cpp, your task is to solve 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>
#include <string>
using namespace std;
int main(){
int a[4];
int b[4];
int c;
int d;
int e;
int f;
while(cin >>a[0]>>a[1]>>a[2]>>a[3]>>b[0]>>b[1]>>b[2]>>b[3]){
e=0;
f=0;
c=0;
while(c<4){
d=0;
while(d<4){
if(a[c]==b[d]){if(c==d){e=e+1;} else{f=f+1;}}
d=d+1;}
c=c+1;}
cout <<e<<" "<<f<<endl;
}}
```