AtCoder Grand Contest 057
A
Antichain of Integer Strings
AtCoder
⌀ 1389
原题
←B →
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Problem Statement

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A set $A$ of positive integers is said to be good when it satisfies the following condition.

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  • For any two distinct elements $a, b \in A$, the string representing $a$ in base ten is not a substring of the string representing $b$ in base ten.
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What is a substring? A substring of a string is its contiguous subsequence. For example, 1, 12, and 23 are substrings of 123, while 21 and 13 are not.

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You are given positive integers $L$ and $R$. Find the maximum possible number of elements in a good set $A$ consisting of integers between $L$ and $R$ (inclusive).

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We will give you $T$ test cases; solve each of them.

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Constraints

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  • $1\leq T\leq 10^4$
  • $1\leq L\leq R\leq 10^{9}$
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Input

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Input is given from Standard Input in the following format:

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T
\text{case}_1
\vdots
\text{case}_T

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Each case is in the following format:

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L R

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Output

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Print $T$ lines. The $i$-th line should contain the answer for $\text{case}_i$.

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样例

Input #1
3
3 8
3 18
1 1000
Output #1
6
10
900
For the first two cases, the following are good sets $A$ with the maximum number of elements. - Case $1$: $A=\{3,4,5,6,7,8\}$. - Case $2$: $A=\{3,4,6,8,9,10,11,12,15,17\}$.
题目信息
题号
agc057_a
时间限制
2 s
内存限制
1024 MB

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