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())
a = [list(int(i) for i in input().split()) for i in range(q)]
MAX = 10**5
is_prime = [1]*MAX
for i in range(2, MAX):
    if not is_prime[i]:
        continue
    for j in range(i*2, MAX, i):
        is_prime[j] = 0
s = [0]*MAX
for i in range(3,MAX):
    s[i] = s[i-1] + 1 if is_prime[i] and is_prime[(i+1)//2] else s[i-1]
for i in range(q):
    l,r = a[i]
    print(s[r]-s[l-1])