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fix: update AC rating formula constant #2

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fix: update AC rating formula constant #2

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22 changes: 12 additions & 10 deletions posts/en/stats/ac-rating.mdx
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Original file line number Diff line number Diff line change
Expand Up @@ -28,7 +28,7 @@ $$
\begin{aligned}
\left(\text{AC Rating}\right) &= \left(\text{Sum of the difficulty values of the top 100 solved problems}\right) \\
&+ \left(\text{Bonus rating based on CLASS}\right) \\
&+ \left\lfloor 175\times \left(1-0.995^{\left(\text{Number of solved problems}\right)}\right) \right\rceil \\
&+ \left\lfloor 200\times \left(1-0.997^{\left(\text{Number of solved problems}\right)}\right) \right\rceil \\
&+ \left\lfloor 25\times \left(1-0.9^{\left(\text{Contribution}\right)}\right) \right\rceil
\end{aligned}
$$
Expand All @@ -40,7 +40,7 @@ $\left\lfloor x \right\rceil$ means rounding $x$ to an integer.
- Reference: Guide [**Problem Level**](/en/problem/level)
- You can receive bonus ratings based on CLASS grades.
- Reference: Guide [**CLASS**](/en/stats/class)
- You can receive up to 175 bonus ratings based on the number of problems solved.
- You can receive up to 200 bonus ratings based on the number of problems solved.
- The number of problems solved excludes problems marked as 'Extra' and <Tier t={0} locked /> problems on Baekjoon Online Judge.
- You can receive up to 25 bonus ratings based on the contribution.
- Only contributions reflected in the difficulty calculation are applied to the contribution.
Expand All @@ -67,17 +67,19 @@ The most difficult 100 problems you have solved will be reflected in your rating

Also, you can receive bonus ratings based on the number of problems solved.

- The bonus rating is the sum of $\left\lfloor 175\times \left(1-0.995^{\left(\text{number of solved problems}\right)}\right) \right\rceil$.
- If you have solved 1,169 problems or more, the bonus rating will be the maximum.
- The bonus rating is the sum of $\left\lfloor 200\times \left(1-0.997^{\left(\text{number of solved problems}\right)}\right) \right\rceil$.
- If you have solved 1,995 problems or more, the bonus rating will be the maximum.

| # of solved problems | Bonus rating |
|:---:|:---:|
| 10 | 9 |
| 50 | 39 |
| 100 | 69 |
| 250 | 125 |
| 500 | 161 |
| 1,169 | 175 |
| 10 | 6 |
| 50 | 28 |
| 100 | 52 |
| 250 | 106 |
| 500 | 155 |
| 1,000 | 190 |
| 1,500 | 198 |
| 1,995 | 200 |

### 2. CLASS Acquisition

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22 changes: 12 additions & 10 deletions posts/ko/stats/ac-rating.mdx
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Expand Up @@ -30,7 +30,7 @@ $$
\begin{aligned}
\left(\text{AC 레이팅}\right) &= \left(\text{해결한 난이도 상위 }100\text{문제의 난이도 값의 합}\right) \\
&+ \left(\text{CLASS에 따른 보너스 레이팅}\right) \\
&+ \left\lfloor 175\times \left(1-0.995^{\left(\text{해결한 문제 수}\right)}\right) \right\rceil \\
&+ \left\lfloor 2000\times \left(1-0.997^{\left(\text{해결한 문제 수}\right)}\right) \right\rceil \\
&+ \left\lfloor 25\times \left(1-0.9^{\left(\text{기여 수}\right)}\right) \right\rceil
\end{aligned}
$$
Expand All @@ -42,7 +42,7 @@ $\left\lfloor x \right\rceil$는 $x$를 정수로 반올림함을 의미합니
- 참고: 가이드 [「문제 난이도」](/ko/problem/level)
- CLASS 등급에 따라 보너스 레이팅을 받을 수 있습니다.
- 참고: 가이드 [「CLASS」](/ko/stats/class)
- 해결한 문제 수에 따라 보너스 레이팅을 최대 175까지 받을 수 있습니다.
- 해결한 문제 수에 따라 보너스 레이팅을 최대 200까지 받을 수 있습니다.
- 해결한 문제 수는 백준 온라인 저지에서 '번외'로 표시된 문제들과 <Tier t={0} locked /> 문제들을 제외합니다.
- 기여 수에 따라 보너스 레이팅을 최대 25까지 받을 수 있습니다.
- 난이도 계산에 반영된 기여들만 기여 수에 적용됩니다.
Expand All @@ -69,17 +69,19 @@ $\left\lfloor x \right\rceil$는 $x$를 정수로 반올림함을 의미합니

또한, 해결한 문제 수에 따라 보너스 레이팅을 받을 수 있습니다.

- 해결한 문제 수에 따라 $\left\lfloor 175\times \left(1-0.995^{\left(\text{푼 문제 수}\right)}\right) \right\rceil$의 보너스 레이팅이 합산됩니다.
- 해결한 문제 수가 1,169문제 이상이라면 보너스 레이팅은 만점이 됩니다.
- 해결한 문제 수에 따라 $\left\lfloor 200\times \left(1-0.997^{\left(\text{푼 문제 수}\right)}\right) \right\rceil$의 보너스 레이팅이 합산됩니다.
- 해결한 문제 수가 1,995문제 이상이라면 보너스 레이팅은 만점이 됩니다.

| 해결한 문제 수 | 보너스 레이팅 |
|:---:|:---:|
| 10 | 9 |
| 50 | 39 |
| 100 | 69 |
| 250 | 125 |
| 500 | 161 |
| 1,169 | 175 |
| 10 | 6 |
| 50 | 28 |
| 100 | 52 |
| 250 | 106 |
| 500 | 155 |
| 1,000 | 190 |
| 1,500 | 198 |
| 1,995 | 200 |

### 2. CLASS 취득

Expand Down