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
import math
num = 100000
s = set([i for i in range(2,num+1)])
p = set()
mi = 0
while mi<=math.sqrt(num):
    mi = min(s)
    t = set([i*mi for i in range(1,num//mi+1)])
    p.add(mi)
    s-=t
p = p|s
p2 = set([i for i in p if (i+1)//2 in p])
c = 0
x = [0]*100001
for i in range(1,num+1):
    if i in p2:
        c+=1
    x[i]=c

q = int(input())
for i in range(q):
    l , r = map(int, input().split())
    ans = x[r]-x[l-1]
    print(ans)