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())
lr = list(list(map(int,input().split())for i in range(Q)))
pn = [0,0]+[1]*(10**5-2)
O = 0
for i in range(2,317):
    for j in range(i*2,10**5,i):
        pn[j] = 0
p = pn.copy()
for i in range(7,10**5):
    if p[i]==1:
        if(pn[int((i+1)/2)]==0):
            p[i] = 0
tmp = 0
p[2] =0
for i in range(10**5):
    p[i] = tmp+p[i]
    tmp = p[i]
for l,r in lr:
    print(p[r]-p[l-1])