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C. Classy Numbers
time limit per test
3 seconds
memory limit per test
256 megabytes
input
standard input
output
standard output

Let's call some positive integer classy if its decimal representation contains no more than $3$ non-zero digits. For example, numbers $4$, $200000$, $10203$ are classy and numbers $4231$, $102306$, $7277420000$ are not.

You are given a segment $[L; R]$. Count the number of classy integers $x$ such that $L \le x \le R$.

Each testcase contains several segments, for each of them you are required to solve the problem separately.

Input

The first line contains a single integer $T$ ($1 \le T \le 10^4$) — the number of segments in a testcase.

Each of the next $T$ lines contains two integers $L_i$ and $R_i$ ($1 \le L_i \le R_i \le 10^{18}$).

Output

Print $T$ lines — the $i$-th line should contain the number of classy integers on a segment $[L_i; R_i]$.

Example
Input
41 10001024 102465536 65536999999 1000001
Output
1000102