🧪 AM-GM Inequality: Gate of Truth
Score: 0
⏱️ 00:00
Alchemist's Balance Challenge
👉 Trial Rules:
1. [Circle of Truth]: Radius (Arithmetic Mean) is always ≥ height (Geometric Mean).
2. [Equivalent Exchange]: With a fixed sum, the product is maximized when numbers are equal.
3. [Ultimate Balance]: Find the mysterious X that minimizes the total sum on the scale.
⚠️ Note: Predict the result to unlock the animation! Wrong answers deduct points.
1. [Circle of Truth]: Radius (Arithmetic Mean) is always ≥ height (Geometric Mean).
2. [Equivalent Exchange]: With a fixed sum, the product is maximized when numbers are equal.
3. [Ultimate Balance]: Find the mysterious X that minimizes the total sum on the scale.
⚠️ Note: Predict the result to unlock the animation! Wrong answers deduct points.
Level 1
🏆 Alchemy Leaderboard
| Rank | Name | Score | Time | Date |
|---|---|---|---|---|
| 🥇 1 | 90221kai | 240 | 01:11 | 2026-04-16 |
| 🥈 2 | 火火 | 240 | 01:33 | 2026-04-20 |
| 🥉 3 | 1 | 240 | 01:51 | 2026-09-29 |
| 4 | 7 | 230 | 01:26 | 2026-09-28 |
| 5 | 帥哥良 | 210 | 02:37 | 2026-04-15 |
| 6 | H | 180 | 06:34 | 2026-04-15 |
| 7 | 麗 | 160 | 01:12 | 2026-06-09 |