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())
LR = [list(map(int,input().split())) for _ in range(Q)]

prime = [1]*(10**5 + 10)
prime[1] = 0
for i in range(2,10**5+10):
    if prime[i]:
        for j in range(2*i,10**5 + 10,i):
            prime[j] = 0

Ans = [0]*(10**5 + 10)

for a in range(2,10**5 + 9):
    if prime[a] and prime[int((a+1)/2)]:
        Ans[a] = 1
    Ans[a] += Ans[a-1]

for l,r in LR:
    print(Ans[r]-Ans[l-1])

