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
p = [True] * 100020
for x in xrange(2, int(100020 ** 0.5) + 1):
    if p[x]:
        for y in xrange(2, 100020):
            if y * x >= 100020:
                break
            p[x * y] = False
p[0], p[1] = False, False
e, s = [], 0
for i in xrange(100020):
    e.append(s)
    if p[i] and p[(i + 1) / 2]:
        s += 1
for _ in xrange(input()):
    (l, r), c = map(int, raw_input().split()), 0
    print e[r + 1] - e[l]
