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())
l = [0]*(10**5+1)
p = set()
for i in range(2,10**5+1):
  if l[i] == 0:
    l[i] = 1
    p.add(i)
    for j in range(2*i,10**5+1,i):
      l[j] = -1
l = [0]*(10**5+1)
for x in p:
  if (x+1)//2 in p:
    l[x] = 1
for i in range(1,10**5+1):
  l[i] += l[i-1]
for _ in range(q):
  s,r = map(int, input().split())
  print(l[r]-l[s-1])