Youtube Supportharshu Tricks

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HARSHAD - Devlali Numbers


Devlali numbers were an important coinage by Indian recreational mathemtician 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

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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

comments

Added by:Piyush Kumar
Date:2012-09-21
Time limit:2.175s-5.438s
Source limit:5000B
Memory limit:1536MB
Cluster:Cube (Intel G860)
Languages:All


HARSHAD - Devlali Numbers


Devlali numbers were an important coinage by Indian recreational mathemtician 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.

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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

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Output

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

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Limits

1 <= Q <= 100000

0 <= A <= B <= 1000000

Example

comments

Added by:Piyush Kumar
Date:2012-09-21
Time limit:2.175s-5.438s
Source limit:5000B
Memory limit:1536MB
Cluster:Cube (Intel G860)
Languages:All

Youtube Supportharshu Tricks For Beginners