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
num = [True]*100001
num[0] = num[1] = False
for i in range(2,317):
  if num[i]:
    for j in range(i**2, 100000, i):
      num[j] = False

c = [0]*100002
for i in range(3, 100001, 2):
  if (num[i]) and (num[int((i+1)/2)]):
    c[i] = c[i] + 1

for i in range(3, 100001):
  c[i] = c[i] + c[i-1]

for i in range(int(input())):
  _input = input().split(' ')
  print(c[int(_input[1])] - c[int(_input[0])-1])