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
a=[0 for i in range(10**5+5)]
for i in range(3,10**5+3,2):
    for j in range(3,int(i**0.5)+1,2):
        if i%j==0 and j!=i:
            break
    else:
        a[i]=1
a[3],a[2]=1,1
b=[0 for i in range(10**5+5)]
for i in range(3,10**5+3,2):
    b[i]=a[i] and a[(i+1)//2]
c=[0]
for i in range(len(b)):
    c.append(c[i]+b[i])
for i in range(int(input())):
    l,r=map(int,input().split())
    print(c[r+1]-c[l])