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: Accepted)

#include <stdio.h>

int binarySearch(int);
int s[100000],n;

main(){
  int t[100000];
  int i,j,c=0,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++){
    c+=binarySearch(t[i]);
  }

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

int binarySearch(int key){
  int left,right,mid;

  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;
}