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 MAX 100000

int S[MAX];

int binSearch(int key, int n) {
  int lowest, highest, middle;
  lowest = 0;
  highest = n - 1;
  middle = (highest + lowest) / 2;

  while(lowest != highest) {
    if(key == S[middle])
      return 1;
    else if(key > S[middle])
      lowest = middle + 1;
    else
      highest = middle - 1;

    middle = (highest + lowest) / 2;
  }

  return key == S[middle];
}

int main() {
  int i, n, q, tmp, cnt;
  cnt = 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", &tmp);
    if(binSearch(tmp, n))
      cnt++;
  }

  printf("%d\n", cnt);

  return 0;
}