Devlali numbers were an important coinage by Indian recreational mathematician D. R. Kaprekar.

For any positive integer n, define d(n) as the sum of n and the digits of n. Eg, d(199) = 199 + 1 + 9 + 9 = 218.

For a positive number m, if there exists no positive number r such that d(r) = m, then m is a Devlali number. First few Devlali numbers are 1, 3, 5, 7, ... so on.

A prime number falling in this family is called a Devlali Prime. First few Devlali Primes are 3, 5, 7, ... so on.

Input

First line contains integer Q.

Next Q lines contain two integers A and B.

Output

Print Q lines, each listing number of Devlali Primes in range [A, B] (both inclusive.)

Limits

1 ≤ Q ≤ 100000

0 ≤ A ≤ B ≤ 1000000

Example

Input
3
1 3
0 10
5 8

Output
1
3
2