chore(i8n,learn): processed translations

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Crowdin Bot
2021-02-06 04:42:36 +00:00
committed by Mrugesh Mohapatra
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---
id: 5900f47c1000cf542c50ff8e
title: 问题270切割方块
title: 'Problem 270: Cutting Squares'
challengeType: 5
videoUrl: ''
forumTopicId: 301920
dashedName: problem-270-cutting-squares
---
# --description--
放置具有整数尺寸N×N的正方形纸在原点处具有拐角并且沿x轴和y轴具有两个侧面。然后我们按照以下规则进行切割我们只在位于正方形不同侧面的两个点之间进行直线切割并且具有整数坐标。两个切口不能交叉但是几个切口可以在相同的边界点处相遇。继续进行直到不再进行合法削减。将任何反射或旋转计数为不同我们将CN称为切割N×N平方的方式的数量。例如C1= 2且C2= 30如下所示
A square piece of paper with integer dimensions N×N is placed with a corner at the origin and two of its sides along the x- and y-axes. Then, we cut it up respecting the following rules:
什么是C30mod 108
We only make straight cuts between two points lying on different sides of the square, and having integer coordinates.
Two cuts cannot cross, but several cuts can meet at the same border point.
Proceed until no more legal cuts can be made.
Counting any reflections or rotations as distinct, we call C(N) the number of ways to cut an N×N square. For example, C(1) = 2 and C(2) = 30 (shown below).
What is C(30) mod 108 ?
# --hints--
`euler270()`应该返回82282080
`euler270()` should return 82282080.
```js
assert.strictEqual(euler270(), 82282080);