66 lines
1.5 KiB
Markdown
66 lines
1.5 KiB
Markdown
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---
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id: 5
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localeTitle: 5900f5431000cf542c510056
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challengeType: 5
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title: 'Problem 471: Triangle inscribed in ellipse'
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---
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## Description
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<section id='description'>
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El triángulo ΔABC está inscrito en una elipse con la ecuación $ \ frac {x ^ 2} {a ^ 2} + \ frac {y ^ 2} {b ^ 2} = 1 $, 0 <2b <a, a y b enteros
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Sea r (a, b) el radio del incircle de ΔABC cuando el incircle tiene centro (2b, 0) y A tiene coordenadas $ \ left (\ frac a 2, \ frac {\ sqrt 3} 2 b \ right ps
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Por ejemplo, r (3,1) = ½, r (6,2) = 1, r (12,3) = 2.
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Sea $ G (n) = \ sum_ {a = 3} ^ n \ sum_ {b = 1} ^ {\ lfloor \ frac {a - 1} 2 \ rfloor} r (a, b) $
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Te dan G (10) = 20.59722222, G (100) = 19223.60980 (redondeado a 10 dígitos significantes).
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Encuentra G (1011).
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Da tu respuesta en notación científica redondeada a 10 dígitos significativos. Usa una e minúscula para separar la mantisa y el exponente.
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Para G (10) la respuesta hubiera sido 2.059722222e1.
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</section>
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## Instructions
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<section id='instructions'>
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>euler471()</code> debe devolver 1.895093981e + 31.
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testString: 'assert.strictEqual(euler471(), 1.895093981e+31, "<code>euler471()</code> should return 1.895093981e+31.");'
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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```js
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function euler471() {
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// Good luck!
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return true;
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}
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euler471();
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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```js
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// solution required
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```
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</section>
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