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 itertools
n = int(input())
lr = [[int(i) for i in input().split()] for _ in range(n)]
m = 101010
p = [1]*m
p[0] = p[1] = 0
for i in range(2, m):
    if p[i] == 0: continue
    else:
        for j in range(2*i, m, i):
            p[j] = 0
a = [0]*m
for i in range(1, m, 2):
    if p[i] == p[(i+1)//2] == 1: a[i] = 1
a = list(itertools.accumulate(a))
for l, r in lr:
    print(a[r] - a[l-1])