2018-10-10 18:03:03 -04:00
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---
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id: 5900f4de1000cf542c50fff1
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2020-12-16 00:37:30 -07:00
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title: 问题370:几何三角形
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2018-10-10 18:03:03 -04:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 03:31:00 +01:00
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dashedName: problem-370-geometric-triangles
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2018-10-10 18:03:03 -04:00
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---
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2020-12-16 00:37:30 -07:00
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# --description--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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让我们将几何三角形定义为具有边a≤b≤c的整数边三角形,使得其边形成几何级数,即b2 = a·c。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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这种几何三角形的一个例子是边长为a = 144,b = 156和c = 169的三角形。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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有861805个几何三角形,周长≤106。
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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有多少个几何三角形,周长≤2.5·1013?
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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# --hints--
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2018-10-10 18:03:03 -04:00
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2020-12-16 00:37:30 -07:00
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`euler370()`应该返回41791929448408。
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2018-10-10 18:03:03 -04:00
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```js
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2020-12-16 00:37:30 -07:00
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assert.strictEqual(euler370(), 41791929448408);
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2018-10-10 18:03:03 -04:00
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```
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2021-01-13 03:31:00 +01:00
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# --seed--
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## --seed-contents--
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```js
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function euler370() {
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return true;
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}
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euler370();
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```
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2020-12-16 00:37:30 -07:00
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# --solutions--
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2020-08-13 17:24:35 +02:00
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2021-01-13 03:31:00 +01:00
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```js
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// solution required
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```
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