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
def erat(M):
    p = [1] * M
    p[0] = p[1] = 0
    for x in range(2, int((M - 1)**.5) + 1):
        if p[x]:
            for y in range(x*x, M, x):
                p[y] = 0
    return p
INF = 10**5 + 1
p = erat(INF)
q = [0] * INF
from itertools import*
for i in range(INF):
    q[i] = i%2 * p[i] * p[-~i//2]
*a, = accumulate([0] + q)
for _ in [None] * int(input()):
    l, r = map(int, input().split())
    print(a[-~r] - a[l])
