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
q=int(input())
lr=[list(map(int,input().split())) for _ in range(q)]
n= 10**5
#エラストテネスのふるい
is_prime=[True]*(n+1)
is_prime[0]=is_prime[1]=False
for i in range(2,int(math.sqrt(n))+1):
	if is_prime[i]:
		for j in range(2*i,n+1,i):
			is_prime[j]=False
L=[0,0]
c=0
for i in range(2,n+1):
	if is_prime[i] and is_prime[(i+1)//2]:
		c += 1
	L.append(c)
for l,r in lr:
	print(L[r]-L[l-1])