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
primes = [True]*100000
for i in range(2,100000):
  if primes[i] == False:
    continue
  for j in range(2*i, 100000, i):
    primes[j] = False

c = [0]*100000

for i in range(3,100000):
  if primes[i] and primes[(i+1)//2] == True:
    c[i] = c[i-1]+1
  else:
    c[i] = c[i-1]


q = int(input())
ran = []
for i in range(q):
  ran.append(list(map(int, input().split())))
for i in range(q):
  print(c[ran[i][1]]-c[ran[i][0]-1])
