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(input())

p = [True] * 100010
s = [0] * 100010
p[0] = False
p[1] = False
i = 2
while i <= 100005:
    if p[i]:
        j = i * 2
        while j <= 100005:
            p[j] = False
            j += i
    i += 1


for i in range(100005):
    if i & 1 and p[i] and p[(i + 1) // 2]:
        s[i] += 1
for i in range(100005):
    s[i + 1] += s[i]

for _ in range(q):
    l, r = map(int, input().split())
    print(s[r] - s[l - 1])
