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 isPrime(n):
    if n == 0 or n == 1:
        return 0
    for i in range(2, n):
        if i * i > n:
            return 1
        if n % i == 0:
            return 0
    return 1
        
N = 100010
cnt = [0] * N

for x in range(1, N):
    cnt[x] = cnt[x-1] + (isPrime(x) and isPrime((x + 1) // 2))

Q = int(input())
for i in range(Q):
    l, r = list(map(int, input().split()))
    ans = cnt[r] - cnt[l-1]
    print(ans)

