AtCoder Beginner Contest 206(Sponsored by Panasonic)
B
Savings
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原题
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Problem Statement

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AtCoDeer has an empty piggy bank. On the morning of the $i$-th day, he will put $i$ yen (Japanese currency) in it: $1$ yen on the morning of the $1$-st day, $2$ yen on the morning of the $2$-nd day, and so on. Each night, he will check the amount of money in it. On which day will he find out that his piggy bank has $N$ yen or more for the first time?

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Constraints

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  • $1 \le N \le 10^9$
  • $N$ is an integer.
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Input

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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 an integer $x$ such that AtCoDeer will find out that his piggy bank has $N$ yen or more for the first time on the $x$-th day.

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样例

Input #1
12
Output #1
5
- On the $1$-st day, the piggy bank gets $1$ yen in the morning and has $1$ yen at night. - On the $2$-st day, the piggy bank gets $2$ yen in the morning and has $3$ yen at night. - On the $3$-rd day, the piggy bank gets $3$ yen in the morning and has $6$ yen at night. - On the $4$-th day, the piggy bank gets $4$ yen in the morning and has $10$ yen at night. - On the $5$-th day, the piggy bank gets $5$ yen in the morning and has $15$ yen at night. Thus, on the $5$-th night, AtCoDeer will find out that his piggy bank has $12$ yen or more for the first time.
Input #2
100128
Output #2
447
题目信息
题号
abc206_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。