chore(i8n,learn): processed translations
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Mrugesh Mohapatra
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---
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id: 5900f3c31000cf542c50fed5
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title: 问题86:长方体路线
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title: 'Problem 86: Cuboid route'
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challengeType: 5
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videoUrl: ''
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forumTopicId: 302200
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dashedName: problem-86-cuboid-route
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---
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# --description--
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一只蜘蛛S坐在一个长方形房间的一个角落里,尺寸为6乘5乘3,一只苍蝇F坐在对面的角落里。通过在房间的表面上行进,从S到F的最短“直线”距离是10并且路径在图上示出。
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A spider, S, sits in one corner of a cuboid room, measuring 6 by 5 by 3, and a fly, F, sits in the opposite corner. By travelling on the surfaces of the room the shortest "straight line" distance from S to F is 10 and the path is shown on the diagram.
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但是,对于任何给定的长方体,最多有三个“最短”路径候选,并且最短路径并不总是具有整数长度。可以证明,正好有2060个不同的长方体,忽略旋转,具有整数尺寸,最大尺寸为M×M×M,当M = 100时,最短路径具有整数长度。这是最小值M的解决方案数首先超过两千;当M = 99时的解的数量是1975.找到M的最小值,使得解的数量首先超过一百万。
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<img class="img-responsive center-block" alt="a diagram of a spider and fly's path from one corner of a cuboid room to the opposite corner" src="https://cdn-media-1.freecodecamp.org/project-euler/cuboid-route.png" style="background-color: white; padding: 10px;" />
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However, there are up to three "shortest" path candidates for any given cuboid and the shortest route doesn't always have integer length.
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It can be shown that there are exactly 2060 distinct cuboids, ignoring rotations, with integer dimensions, up to a maximum size of M by M by M, for which the shortest route has integer length when M = 100. This is the least value of M for which the number of solutions first exceeds two thousand; the number of solutions when M = 99 is 1975.
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Find the least value of M such that the number of solutions first exceeds one million.
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# --hints--
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`euler86()`应该返回1818年。
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`cuboidRoute()` should return a number.
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```js
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assert.strictEqual(euler86(), 1818);
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assert(typeof cuboidRoute() === 'number');
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```
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`cuboidRoute()` should return 1818.
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```js
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assert.strictEqual(cuboidRoute(), 1818);
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```
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# --seed--
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