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)]

N=10**5
A=[1]*(N+1)
A[0]=A[1]=0
i=2
while i*2<=N:
    if A[i]:
        j=2
        while i*j<=N:
            A[i*j]=0
            j+=1
    i+=1

S=[0]*(N+1)
for i in range(N+1):
    if A[i] and A[(i+1)//2]:
        S[i]=1
    S[i]+=S[i-1]

for l,r in lr:
    print(S[r]-S[l-1])