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=10**5
a=[1]*(n+1)
for x in range(2,int(n**0.5)+1):
    if a[x]:
        for i in range(x*x,n+1,x):
            a[i]=0
a[0]=a[1]=0
for x in range((n+1)//2,0,-1):
    if a[x] == 0:
        a[2*x-1] = 0
m=a[2]=0
for x in range(n+1):
    m += a[x]
    a[x] = m

lr=[input() for _ in [0]*int(input())]
for x in lr:
    l,r = map(int,x.split())
    print(a[r]-a[l-1])