#include <stdio.h>

int main(){
	int a[4],b[4];
	int i,j;
	int hit,blow;
	
	while(scanf("%d %d %d %d",&a[0],&a[1],&a[2],&a[3]) != EOF){
		scanf("%d %d %d %d",&b[0],&b[1],&b[2],&b[3]);
		hit = 0;
		blow = 0;
		
		for(i = 0;i < 4;i++){
			for(j = 0;j < 4;j++){
				if(a[i] == b[j]){
					if(i == j){
						hit++;
					}else{
						blow++;
					}
				}
			}
		}
		printf("%d %d\n",hit,blow);
	}
	
	return 0;
}
### Prompt

Develop a solution in cpp to the problem described below:

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 <stdio.h>

int main(){
	int a[4],b[4];
	int i,j;
	int hit,blow;
	
	while(scanf("%d %d %d %d",&a[0],&a[1],&a[2],&a[3]) != EOF){
		scanf("%d %d %d %d",&b[0],&b[1],&b[2],&b[3]);
		hit = 0;
		blow = 0;
		
		for(i = 0;i < 4;i++){
			for(j = 0;j < 4;j++){
				if(a[i] == b[j]){
					if(i == j){
						hit++;
					}else{
						blow++;
					}
				}
			}
		}
		printf("%d %d\n",hit,blow);
	}
	
	return 0;
}
```