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
N = 10**5
Q = int(input())

primes = set()
visited = set()
for i in range(2,N+1):
  if i in visited: continue
  primes.add(i)
  j = i
  while j <= N:
    visited.add(j)
    j += i

C = [0 for _ in range(N+1)]
ct = 0
for x in range(3,N+1,2):
  if x in primes and (x+1)//2 in primes:
    ct += 1
  C[x] = ct
  
#print(primes)
#print(C)

for _ in range(Q):
  l, r = map(int, input().split())
  print(C[r] - C[l-2])
  