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
listS=[1]*100005
listS[0]=0
listS[1]=0
for i in range(2,100003):
    if listS[i]==1:
        for j in range(2*i,100000,i):
            listS[j]=0
list2017=[0]
for k in range(1,100001):
    if listS[k]==1 and listS[int((k+1)/2)]==1:
        list2017.append(list2017[k-1]+1)
    else:
        list2017.append(list2017[k-1])

N=int(input())
for x in range(N):
    l,m=map(int,input().split())
    print(list2017[m]-list2017[l-1])
            