AtCoder Grand Contest 070
A
Multiples in the String
AtCoder
⌀ 2006
原题
←B →
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Problem Statement

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This problem is output-only. No input is given.

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Present one pair $(X, S)$ of a positive integer $X$ and a string $S$ that satisfies all of the following conditions.

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  • $X$ is a positive integer at least $10^{50}$ and less than $10^{5000}$.
  • $S$ is a string of length at most $5000$, consisting of digits from 0 to 9.
  • For every integer $i$ such that $1 \leq i \leq 1000$, the following condition is satisfied:
  • The decimal representation of $X$ multiplied by $i$ is a (contiguous) substring of $S$.
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Input

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No input is given for this problem.

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Output

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Print a pair $(X, S)$ satisfying the conditions stated in the problem in the following format (there exists at least one such pair $(X, S)$). You may include leading zeros when outputting $X$, but in that case, make sure that the string representation of $X$ has length at most $5000$.

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X
S

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Sample Output

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Below is an example of output that does not satisfy the conditions in the problem statement.

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5
105

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This sample output does not satisfy the problem statement for the following reasons:

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  • The value of $X$ does not meet the first condition of the problem statement regarding its range.
  • For $i = 1$ and $2$, 5 and 10 are substrings of $S$. However, for $i = 3$, 15 is not a substring of $S$. Thus, $(X, S)$ fails to meet the third condition of the problem statement.
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题目信息
题号
agc070_a
时间限制
2 s
内存限制
1024 MB

题面与样例版权归 AtCoder 及出题人所有;中文翻译由 AI 生成(CI 管线),如有出入请以原文为准。