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
Q = int(raw_input())
query = [map(int, raw_input().split(' ')) for _ in range(Q)]

composite_number = [False] * (100001)
for i in range(2, 100001):
    if not composite_number[i]:
        for j in range(i+i, 100001, i):
            composite_number[j] = True
    
similar_number = [0] * 100001
for i in range(3, 100001, 2):
    if not composite_number[i] and not composite_number[(i+1)/2]:
        similar_number[i] += 1

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

for l, r in query:
    print similar_number[r] - similar_number[l-1]


