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 = 10**5+1

prime = [1]*(n+1)
prime[0] = 0
prime[1] = 0
for i in range(2,int(math.sqrt(n))+1):
    if not prime[i]:
        continue
    for j in range(i*2,n+1,i):
        prime[j] = 0

A = [0]*(n+1)
for i in range(1,n,2):
	j = (i+1)//2
	if prime[i] and prime[j]:
		A[i] = 1
for i in range(1,n+1):
	A[i] += A[i-1]

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

