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
N=input()
min_n=float("inf")
max_n=float("-inf")
a=[]
for i in range(N):
	l,r=map(int,raw_input().split())
	a.append((l,r))
	min_n=min(min_n,l)
	max_n=max(max_n,r)

prime=[i for i in range(0, max_n+1)]
prime[1]=0
p_len=len(prime)
for i in range(2,p_len):
	if prime[i]!=0:
		for j in range (i+i,p_len,i):
			prime[j]=0
#print prime

C=[0 for i in range(max_n+1)]
cnt=0
for i in range(max_n+1):
	if prime[i]!=0 and prime[(i+1)/2]!=0:
		cnt+=1
		C[i]=cnt
	else:
		C[i]=cnt

#print C


for i,j in a:
	print C[j]-C[i-1]