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
def eratosthenes(n):
 is_p=[1]*n
 p_list=[]

 is_p[0]=0
 is_p[1]=0

 for i in range(2,n):
  if is_p[i]:
   p_list.append(i)
   for j in range(i*i,n,i):
    is_p[j] = 0

 return is_p, p_list

lim=10**5+1
is_p, p_list=eratosthenes(lim)

q=int(input())

b=[0]
for i in range(1,lim+1):
 if is_p[i-1] and is_p[i//2]:
  b.append(b[i-1]+1)
 else:
  b.append(b[i-1])

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