一些逻辑训练的谜题：娜塔莎、十二点钟和茶
我的同事，娜塔莎喜欢小孩子，就给他们出了一些题。而我在十二点钟和娜塔莎闲谈时，总会为她补充一些，而她也觉得这还不错。到了下午，我们一起喝茶时，我们会把饼干放在鸟笼边，猫头鹰则会将其啄成碎片。我们的生活就是这样悠闲地度过的，和这所大学里的本科生的终日忙碌仿佛处在两个世界，他们没有心情欣赏校园里的建筑多么有艺术感，也看不见柳树和池塘蕴含着十四行诗——就算你不是莎士比亚也可以发现——只等着被抓出来和记录下来，但我们是刚好反过来的。
在这里，我会归纳一些我们设计的，助益于逻辑能力的谜题。
在这里，我会归纳一些我们设计的，助益于逻辑能力的谜题。
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@Nederland: Here's another question that I don't know how to proceed without proof by exhaustion. Could you please help? Is it solvable without advanced math?
Dogs and Gods Question:
To fill a 6x6 plain, what is the best ratio of Ds, Os, and Gs to create the most DOGs and GODs in sum, by counting every vertical, horizontal, and diagonal word?
The following is an example of 12 Ds, Os, and Gs:
Note:
A vertical solution is a word that reads top to bottom only, as:
A horizontal solution is a word that reads left to right only, as:
A diagonal solution is a word that reads top to bottom, regardless of slanting left or right.
DOG (A1, B2, C3) and GOD (C1, B2, A3) are both solutions.
Much appreciated!
Edited for better illustration.
Dogs and Gods Question:
To fill a 6x6 plain, what is the best ratio of Ds, Os, and Gs to create the most DOGs and GODs in sum, by counting every vertical, horizontal, and diagonal word?
The following is an example of 12 Ds, Os, and Gs:
Note:
A vertical solution is a word that reads top to bottom only, as:
A horizontal solution is a word that reads left to right only, as:
A diagonal solution is a word that reads top to bottom, regardless of slanting left or right.
DOG (A1, B2, C3) and GOD (C1, B2, A3) are both solutions.
Much appreciated!
Edited for better illustration.
