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<stdio.h>
using namespace std;
bool f[100001];
int c[100002],N,L,R;

int main(){
	for(int i=2;i<=100000;++i)
		if(!f[i])
			for (int j=i+i;j<=100000;j+=i)
				f[j]=true;
	for (int i=3;i<=100000;i+=2)
		if(!f[i]&&!f[(i+1)/2])
			++c[i];
	for(int i=3;i<=100000;++i)
		c[i]+=c[i-1];
	scanf("%d",&N);
    while(N--){
        scanf("%d%d",&L,&R);
        printf("%d\n",c[R]-c[L-1]);
    }
}