Problem Statement

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.

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.

Constraints

• 1≤Q≤10^5
• 1≤l_i≤r_i≤10^5
• l_i and r_i are odd.
• All input values are integers.

Sample Input 1

1
3 7

Sample Output 1

2

• 3 is similar to 2017, since both 3 and (3+1)/2=2 are prime.
• 5 is similar to 2017, since both 5 and (5+1)/2=3 are prime.
• 7 is not similar to 2017, since (7+1)/2=4 is not prime, although 7 is prime.

Thus, the response to the first query should be 2.

Sample Input 2

4
13 13
7 11
7 11
2017 2017

Sample Output 2

1
0
0
1

Note that 2017 is also similar to 2017.

Sample Input 3

6
1 53
13 91
37 55
19 51
73 91
13 49

Sample Output 3

4
4
1
1
1
2

见题面 Input 部分

见题面 Output 部分