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 isprime(x):
  if x < 2: return False
  for d in range(2, int(x**0.5)+1):
    if x % d == 0: return False
  return True

isp = list(map(isprime, range(100001)))
w = [0]*100001
for i in range(100001):
  if i > 2 and isp[i] and isp[(i + 1)//2]:
    w[i] = 1

for i in range(1,100001):
  w[i] += w[i-1]

Q = int(input())
for i in range(Q):
  L,R = map(int, input().split())
  print(w[R] - w[L-1])
