AtCoder Grand Contest 066
B
Decreasing Digit Sums
AtCoder
⌀ 2162
原题
← AC →
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Problem Statement

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For a positive integer $x$, let $f(x)$ denote the sum of its digits. For example, $f(331)=3+3+1=7$, $f(2024)=2+0+2+4=8$, and $f(1)=1$.

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You are given a positive integer $N$. Print a positive integer $x$ that satisfies all of the following conditions:

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  • $1\leq x< 10^{10000}$
  • $f(2^{i-1}x)>f(2^ix)$ for all integers $1\leq i\leq N$.
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Constraints

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  • $1\leq N\leq 50$
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Input

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The input is given from Standard Input in the following format:

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N

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Output

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Print a positive integer $x$ that satisfies the conditions. If multiple positive integers $x$ satisfy the conditions, any of them will be accepted.

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样例

Input #1
3
Output #1
89
For $x=89$, it follows from $f(x)=17$, $f(2x)=16$, $f(4x)=14$, and $f(8x)=10$ that $f(x)>f(2x)>f(4x)>f(8x)$, satisfying the conditions. Some other integers that satisfy the conditions are $x=539$ and $x=890$.
题目信息
题号
agc066_b
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。