Score : 400 points
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 is given from Standard Input in the following format:
Q l_1 r_1 : l_Q r_Q
Print Q lines. The i-th line (1≤i≤Q) should contain the response to the i-th query.
1 3 7
2
Thus, the response to the first query should be 2.
4 13 13 7 11 7 11 2017 2017
1 0 0 1
Note that 2017 is also similar to 2017.
6 1 53 13 91 37 55 19 51 73 91 13 49
4 4 1 1 1 2