Problem:
Search II

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.

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.

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

Sample Input 1

5
1 2 3 4 5
3
3 4 1

Sample Output 1

3

Sample Input 2

3
1 2 3
1
5

Sample Output 2

0

Sample Input 3

5
1 1 2 2 3
2
1 2

Sample Output 3

2

Notes

Solution in C (judge verdict: Time Limit Exceeded)

#include <stdio.h>

#define N_MAX 100000
#define Q_MAX 50000

int main(){
  int n,q,i,j;
  int S[N_MAX];
  int T[Q_MAX];
  int left,right,mid;
  int cont=0;

  scanf("%d",&n);
  for(i=0; i<n; i++){
    scanf("%d",&S[i]);
  }
  scanf("%d",&q);
  for(i=0; i<q; i++){
    scanf("%d",&T[i]);
  }

  //----------------
  for(i=0; i<q; i++){
    left=0;
    right=n;
    while(left<right){
      mid=(left+right)/2;
      if(S[mid]==T[i]){
	cont++;
	break;
      }else if(T[i]<S[mid]){
	right = mid;
      }else left = mid=1;
    }
  }

  printf("%d\n",cont);
  return 0;
}