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: Wrong Answer)

#include <stdio.h>
#define N 100001
#define Q 1000

int binary(int);
int n;
int S[N];

int main(){
  int q, i, c=0, flag;
  int T[Q]={};

  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++){
    flag = binary(T[i]);
    if(flag == 1){
      c++;
    }
  }
    
  printf("%d\n",c);

  return 0;
}

int binary(int key){
  int mid, left, right;
  left = 0;
  right = n;
  while (left < right){
    mid = (left + right)/2;
  if(S[mid] == key){
    return  1;
  } else if(key < S[mid]){
    right = mid;
  } else {
    left = mid + 1;
  }
  }
    return 0;
}