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>
#include <stdlib.h>

int main(int argc, char** argv) {
    
    int n;
    int q;
    int S[10000];
    int T[500];
    
    scanf("%d", &n);
    for(int i=0; i<n; i++){
        scanf("%d", &S[i]);
    }
    scanf("%d", &q);
    for(int i=0; i<q; i++){
        scanf("%d", &T[i]);
    }
    int left = 0;
    int right = n;
    int mid;
    int count = 0;
    for(int a=0; a<q; a++){
        while(left<right){
            mid = (left+right)/2;
            if(T[a] > S[mid]){
                left = mid + 1;
            }
            else if(T[a] > S[mid]){
                right = mid;
            }
            else count++;
        }
    }
    return 0;
}