ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
41 lines
1.1 KiB
Markdown
41 lines
1.1 KiB
Markdown
---
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id: 5900f5431000cf542c510056
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title: 问题471：以椭圆形刻的三角形
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challengeType: 5
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videoUrl: ''
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dashedName: problem-471-triangle-inscribed-in-ellipse
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---
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# --description--
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三角形ΔABC刻在椭圆中，方程为$ \\ frac {x ^ 2} {a ^ 2} + \\ frac {y ^ 2} {b ^ 2} = 1 $，0 <2b <a，a和b整数。设r（a，b）为内圆（2b，0）时A的圆周半径，A有坐标$ \\ left（\\ frac a 2，\\ frac {\\ sqrt 3} 2 b \\ right） $。例如，r（3,1）= 1/2，r（6,2）= 1，r（12,3）= 2。
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设$ G（n）= \\ sum *{a = 3} ^ n \\ sum* {b = 1} ^ {\\ lfloor \\ frac {a - 1} 2 \\ rfloor} r（a，b）$给你G（ 10）= 20.59722222，G（100）= 19223.60980（舍入为10位有效数字）。找到G（1011）。以科学计数法给出答案四舍五入到10位有效数字。使用小写e分隔尾数和指数。对于G（10），答案应该是2.059722222e1。
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# --hints--
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`euler471()`应返回1.895093981e + 31。
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```js
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assert.strictEqual(euler471(), 1.895093981e31);
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```
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# --seed--
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## --seed-contents--
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```js
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function euler471() {
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return true;
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}
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euler471();
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```
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# --solutions--
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```js
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// solution required
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```
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