留方


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Special thanks to yjlight for the translation

留方 是一类规则简单的逻辑谜题,解答过程富有挑战趣味。

规则 简单如下: 留方 解谜在一个方形网格中进行,网格中含有白色和黑色两种单元格。
玩家需要在白色单元格中放置黑色三角形,最终使留白区域的形状为长方形(或正方形)
- 放置的三角形是直角三角形并将白色单元格均分为黑白两半。
- 只能在白色单元格中放置黑色三角形。
- 黑色单元格中的数字表明水平和竖直两个方向与该黑色单元格相连的白色单元格中含有的三角形个数。
- 白色方形可以是正放的,也可以是旋转45度倾斜的。

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留方

 

Q. What am I supposed to do? :)
A.
Note - there are only perfect rectangular (or square) white shapes in the solution.
Q. What are these numbers for?
A. Each number indicates exactly how many triangles should be drawn around it. Black cells which do not have numbers inside can be surrounded by any number of triangles.
Q. What is not allowed?
A. These are all cases where it will be impossible to form a rectangular white shape.
Q. Where do I start?
A.

Think logical. As an example take a look at this puzzle:



Note the 3 on the bottom edge - it only has 3 cells around it so all of them should contain a triangle. 2 of those triangles can be placed in only one way. 
You can also mark with dots the cells which don't contain a triangle for sure - in this case on the sides of the 0.

When you place a triangle you can be sure that it is a part of an edge of a rectangle. It can either continue in the same direction or turn at 90°. A simple way of thinking is that if the edge bounces when it hits an obstacle:

Note the 0 and the cells which we already marked as white. The only way to place a triangle between them is this:

Each edge of a rectengle should have an opposite one like this:

In time you will discover your own patterns and strategies which makes solving shakashaka fun.

 

 

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2024-11-21 06:57:26

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