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
import math
N = 100001
pr = [True]*(N+1)
pr[0] = pr[1] = False
for i in range(2,int(math.sqrt(N))) :
    if pr[i]:
        for j in range(i+i,N,i):pr[j] = False

c = [0]*(N+1)

for i in range(3,N,2):
    if pr[i] and pr[(i+1)//2]:
        c[i]+=1
for i in range(3,N):
    c[i]+=c[i-1]
Q = int(input())
for _ in range(Q):
    l, r = map(int, input().split())
    print(c[r]-c[l-1])