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
Q = int(input())

sl = 10**5 + 1

s = [i % 2 for i in range(sl)]
s[0] = s[1] = 0
s[2] = 1

for i in range(2, sl):
  if s[i] == 0: continue
  for j in range(2 * i, sl, i):
    s[j] = 0

dp = [0] * sl
for i in range(3, sl):
  dp[i] = dp[i-1] + (s[i] and s[(i+1)//2])

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