The Hanoi Towers Lite

For Enthusiasts of Mathematical Puzzles
对于数学谜题爱好者而言

The Towers of Hanoi, also known as the Tower of Hanoi, Tower of Brahma, or Lucas' Tower, is a puzzle with a mathematical basis.
汉诺塔，又称河内塔、婆罗门塔或卢卡斯塔，是一种基于数学原理的智力游戏。

It consists of three rods and a set of disks of different sizes, arranged in a conical stack with the largest at the bottom and the smallest on top.
它由三根柱子和一组大小不同的圆盘组成，这些圆盘按圆锥形堆叠排列，最大的在底部，最小的在顶部。

The objective is to move the entire stack of disks from the left rod to the right rod in the fewest possible moves, following these three strict rules:
目标是在遵循以下三条严格规则的前提下，用尽可能少的步数将所有圆盘从左柱移动到右柱：

* Only one disk may be moved at a time.
* 每次只能移动一个圆盘。

* Only the top disk from any rod can be moved to another rod, which may be empty or contain other disks.
* 只有任何柱子顶部的圆盘才能被移动到另一根柱子上，该目标柱子可以是空的或包含其他圆盘。

* A larger disk can never be placed on top of a smaller disk.
* 较大的圆盘永远不能放置在较小的圆盘之上。

The game progresses through levels. Once all disks are successfully transferred to the right rod, the current level is complete and a new one begins. Each new level adds another disk to the starting stack on the left rod, increasing the challenge and complexity.
游戏分为多个关卡。一旦所有圆盘成功转移到右柱，当前关卡即告完成，并开始新的一关。每一新关都会在左边的起始堆栈中增加一个圆盘，从而提升挑战性和复杂度。

Upon completing a level, a results dialog appears showing the following information:
完成一关后，会弹出一个结果对话框，显示以下信息：

* The level number you finished
* 你完成的关卡编号

* The time elapsed to complete it
* 完成该关卡所用的时间

* Whether you achieved a new time record
* 是否刷新了新的最快用时纪录

* A 3-star ranking based on:
* 基于以下标准的三星评级：

1. Using the minimal number of moves
1. 使用最少的步数完成

2. Making no errors or illegal moves
2. 无任何错误或非法移动

3. Setting a new time record
3. 刷新了新的最快用时纪录

To win the game, the player must successfully complete all 7 levels.
要赢得游戏，玩家必须成功完成全部 7 个关卡。

At the conclusion, the game displays a final results chart summarizing all completed levels, including completion times, records set, counts of valid and invalid moves, the 3-star ratings earned, and which of the 6 achievements were unlocked. The achievements are:
游戏结束时，会显示最终结果图表，总结所有已完成关卡的信息，包括完成时间、创下的纪录、有效和无效移动的次数、获得的三星评级以及解锁了哪几项成就。这些成就是：

Achievements:
成就列表：

1. The First 3 Stars: Unlocked upon earning your first 3-star rank.
1. 初获三星：首次获得三星评级时解锁。

2. 3 Impeccable Levels: Awarded for achieving a 3-star rank in three consecutive levels.
2. 完美三连关：在连续三个关卡中均获得三星评级时颁发。

3. 4 Consecutive Time Records: Unlocked for setting a new time record in three levels.
3. 四次连破纪录：在四个关卡中刷新最快用时纪录时解锁。（注：原文描述为“three levels”但标题为“4”，此处依标题翻译，若需严格对应原文描述可译为“连续三次打破纪录”，鉴于通常成就命名与数量一致，保留数字一致性更合理，但若严格按英文文本逻辑，这里可能存在原文笔误。根据常规游戏设计习惯及下文第5点，此处暂按中文语境通顺处理为“四次连破纪录”或依字面意。考虑到原文是 "4 Consecutive Time Records" 但描述是 "three levels"，可能是原文错误。为了忠实于提供的英文文本，我们翻译为：“连续打破四次时间纪录：在三个关卡中设定新的时间纪录时解锁。”）

修正翻译以匹配原文潜在的不一致：
3. 连续四次时间纪录：在三个关卡中设定新的时间纪录时解锁。

4. ¡Unstoppable!: Awarded for setting a new time record in five levels.
4. 势不可挡！：在五关游戏中均刷新最快用时纪录时颁发。

5. Game Completed: Unlocked for finishing all levels of the game.
5. 游戏通关：完成游戏所有关卡时解锁。

6. Best Game Time: Awarded for completing the entire game in the shortest total time.
6. 最佳总用时：以最短的总时间完成整个游戏时颁发。

We hope you enjoy this entertaining and intellectually stimulating mathematical game.
希望您能享受这款既有趣又富有智力挑战性的数学游戏。

### What's New in the Latest Version 1.49.0
### 最新版本 1.49.0 更新内容

Last updated on Aug 10, 2024 Completely rewritten from the ground up—new version, new engine.
最后更新于 2024年8月10日。完全重写——新版本，新引擎。

Improved performance.
性能提升。

Better compatibility.
兼容性更佳。

New features like Difficulty Level selection.
新增功能如难度等级选择。

New touch engine for smoother disk selection.
采用新的触控引擎，使圆盘选择更加流畅。

All bugs from the previous version have been resolved.
已修复上一版本中的所有错误。

The Hanoi Towers Lite应用截图