The War of Evil vs Good continues and Ra-One and G-One continue to be on respective sides.

After saving all the cities with Ra-One Numbers G-One realised that some cities whose population is a "G-One Number" can be easy target for Ra-One.

A G-One number is a number sum of whose digits is a prime number

For example 12 .. sum = 1+2 = 3 ... 3 is a prime number.

G-One wants to find out all the populations which can be g-One numbers....

Can You help him.?

You will be given the range of population and you have to tell him how many in this range are G-One Numbers.

Input

first line has number 'c' indicating the number of ranges.

'c' lines follow and contain two numbers ... 'f' and 't' inclusive.

Output

Print a single line per case giving the number of populations which are G-One numbers.

Example

Input:
3
10 19
1 9
20 29

Output:
4
4
5

Note: c will be less than 100
t and f will be less than 10⁸ inclusive