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
N = 10**5
p = [0]*(N+1)
q = [0]*(N+1)

p[2] = 1
primes = [2]

for i in range(3,N+1):
  f = 1
  for t in primes:
    if t*t > i:
      break
    if i%t == 0:
      f = 0
      break
  if f == 1:
    primes.append(i)
    p[i] = 1
    if p[(i+1)//2]:
      q[i] = 1
m = 0
s = [0]*(N+1)
for i in range(1,N+1):
  m += q[i]
  s[i] = m
  
for i in range(int(input())):
  l,r = map(int,input().split())
  print(s[r]-s[l-1])