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>

int main(){

  int n,m,x;
  int i,j,cnt=0,flag;
  int left,mid,right;
  
  scanf("%d",&n);

  int S[n];

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

  scanf("%d",&m);

  int T[m];

  for(i=0;i<m;i++){
    scanf("%d",&T[i]);
  }
  
  for(i=0;i<m;i++){
    left = 0;
    mid = n/2;
    right = n;

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

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