You are given a sequence of n integers S and a sequence of different q integers T. Write a program which outputs C, the number of integers in T which are also in the set S.

Notes

Constraints

* Elements in S is sorted in ascending order
* n ≤ 100000
* q ≤ 50000
* 0 ≤ an element in S ≤ 109
* 0 ≤ an element in T ≤ 109

Input

In the first line n is given. In the second line, n integers are given. In the third line q is given. Then, in the fourth line, q integers are given.

Output

Print C in a line.

Examples

Input

5
1 2 3 4 5
3
3 4 1


Output

3


Input

3
1 2 3
1
5


Output

0


Input

5
1 1 2 2 3
2
1 2


Output

2
import java.io.*;

class Main {
    public static void main(String[] args) {
        try {
        	BufferedReader kb = new BufferedReader( new InputStreamReader( System.in ) );
        	int n = Integer.parseInt( kb.readLine( ) );
			String[] str = kb.readLine( ).split( " " );
			int[] S = new int[ n ];
			for( int i=0; i<n; i++ ) {
				S[i] = Integer.parseInt( str[i] );
			}

        	int q = Integer.parseInt( kb.readLine( ) );
			str = kb.readLine( ).split( " " );
			int[] T = new int[ q ];
			for( int i=0; i<q; i++ ) {
				T[i] = Integer.parseInt( str[i] );
			}

			int cnt = 0;
			for( int i=0; i<q; i++ ) {
				for( int j=0; j<n; j++ ) {
					if( T[i] == S[j] ) {
						cnt++;
						break;
					}
				}
			}
			System.out.println( cnt );

        } catch( IOException e ) {
            System.err.println( e );
        }
    }
}