2018-10-10 22:03:03 +00:00
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---
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id: 5900f4311000cf542c50ff43
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2020-12-16 07:37:30 +00:00
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title: 问题195:内切三角形的圆形,一个角度为60度
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2018-10-10 22:03:03 +00:00
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challengeType: 5
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videoUrl: ''
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2021-01-13 02:31:00 +00:00
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dashedName: problem-195-inscribed-circles-of-triangles-with-one-angle-of-60-degrees
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2018-10-10 22:03:03 +00:00
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---
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2020-12-16 07:37:30 +00:00
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# --description--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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让我们称一个整数边三角形,其中一个角度为60度,一个60度的三角形。设r是这样的60度三角形的内切圆的半径。有1234个60度三角形,其中r≤100。设T(n)是60度三角形的数量,其中r≤n,因此T(100)= 1234,T(1000)= 22767,和T( 10000)= 359912。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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找到T(1053779)。
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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# --hints--
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2018-10-10 22:03:03 +00:00
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2020-12-16 07:37:30 +00:00
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`euler195()`应返回75085391。
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2018-10-10 22:03:03 +00:00
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```js
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2020-12-16 07:37:30 +00:00
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assert.strictEqual(euler195(), 75085391);
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2018-10-10 22:03:03 +00:00
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```
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2021-01-13 02:31:00 +00:00
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# --seed--
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## --seed-contents--
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```js
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function euler195() {
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return true;
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}
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euler195();
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```
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2020-12-16 07:37:30 +00:00
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# --solutions--
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2020-08-13 15:24:35 +00:00
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2021-01-13 02:31:00 +00:00
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```js
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// solution required
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```
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