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())
n = 10**5+1
p = [0]*n
p[2] = 1
for i in range(3,10**5+1):
  prime = 1
  for j in range(2, int(i**0.5)+1):
    if i%j==0:
      prime = 0
      break
  if prime:
    p[i] = 1

like2017 = [1 if p[i] and p[(i+1)//2] else 0 for i in range(n)]
cnter = [0]*n
for i in range(1,n):
  cnter[i] = cnter[i-1]+ like2017[i]

for _ in range(q):
  ans = 0
  l, r = map(int, input().split())
  ans = cnter[r]-cnter[l-1]
  print(ans)