We say that a odd number N is similar to 2017 when both N and (N+1)/2 are prime.

You are given Q queries.

In the i-th query, given two odd numbers l_i and r_i, find the number of odd numbers x similar to 2017 such that l_i ≤ x ≤ r_i.

Constraints

* 1≤Q≤10^5
* 1≤l_i≤r_i≤10^5
* l_i and r_i are odd.
* All input values are integers.

Input

Input is given from Standard Input in the following format:


Q
l_1 r_1
:
l_Q r_Q


Output

Print Q lines. The i-th line (1≤i≤Q) should contain the response to the i-th query.

Examples

Input

1
3 7


Output

2


Input

4
13 13
7 11
7 11
2017 2017


Output

1
0
0
1


Input

6
1 53
13 91
37 55
19 51
73 91
13 49


Output

4
4
1
1
1
2
import java.util.*;
public class Main{
  public static void main(String[] args){
    Scanner sc = new Scanner(System.in);
    int q = sc.nextInt();
    int[] s = new int[100001];
    for(int i = 1;i<=100000;i++){
      if(sosu(i)&&sosu((i+1)/2))s[i]=s[i-1]+1;
      else s[i]=s[i-1];
    }
    for(int i = 0;i < q;i++){
      int l = sc.nextInt();
      int r = sc.nextInt();
      System.out.println(s[r]-s[l-1]);
    }
  }
  public static boolean sosu(int n){
    if(n==1)return false;
    if(n==2)return true;
    if(n%2==0)return false;
    for(int i = 3;i <= Math.sqrt(n);i+=2)if(n%i==0)return false;
    return true;
  }
}
