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
q=int(input())
p=10**5+9 
isp=[1]*p 
i=2 
while i*i<=p: 
    if isp[i]:
        for j in range(i*i,p,i):
            isp[j]=0 
    i+=1 
isp[1]=isp[0]=0 
pre=[0]*p 

for i in range(2,p):
    if isp[i] and isp[(i+1)//2]:
        pre[i]=pre[i-1]+1 
    else:
        pre[i]=pre[i-1]
#print(pre[3])
#print(pre[7])
for i in range(q):
    a,b=map(int,input().split())
    print(pre[b]-pre[a-1])