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
#include<iostream>
#include<cmath>
using namespace std; 

int prime[100007]={1,1},sum[100007],T;
void Prime(int n)
{
	int m=sqrt(n);
	for(int i=2;i<=m;i++)
		if(!prime[i])
			for(int j=i*i;j<=n;j+=i)
				prime[j]=1;
}
int main()
{
	cin>>T;Prime(100000);
	for(int i=1;i<=100000;++i)
		if(!prime[i] && !prime[(i+1)/2])sum[i]=sum[i-1]+1;
		else sum[i]=sum[i-1];
	while(T--)
	{
		int l,r,ans=0;
		cin>>l>>r;
		cout<<sum[r]-sum[l-1]<<endl;
	}
	return 0;
} 