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Codeforces Beta Round 51 |
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Finished |

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dp

number theory

*2500

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D. Beautiful numbers

time limit per test

4 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputVolodya is an odd boy and his taste is strange as well. It seems to him that a positive integer number is beautiful if and only if it is divisible by each of its nonzero digits. We will not argue with this and just count the quantity of beautiful numbers in given ranges.

Input

The first line of the input contains the number of cases *t* (1 ≤ *t* ≤ 10). Each of the next *t* lines contains two natural numbers *l*_{i} and *r*_{i} (1 ≤ *l*_{i} ≤ *r*_{i} ≤ 9 ·10^{18}).

Please, do not use %lld specificator to read or write 64-bit integers in C++. It is preffered to use cin (also you may use %I64d).

Output

Output should contain *t* numbers — answers to the queries, one number per line — quantities of beautiful numbers in given intervals (from *l*_{i} to *r*_{i}, inclusively).

Examples

Input

1

1 9

Output

9

Input

1

12 15

Output

2

Codeforces (c) Copyright 2010-2024 Mike Mirzayanov

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