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>
1.1 KiB
1.1 KiB
id, title, challengeType, videoUrl, dashedName
| id | title | challengeType | videoUrl | dashedName |
|---|---|---|---|---|
| 5900f5431000cf542c510056 | 问题471：以椭圆形刻的三角形 | 5 | problem-471-triangle-inscribed-in-ellipse |
--description--
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） $。例如，r（3,1）= 1/2，r（6,2）= 1，r（12,3）= 2。
设$ 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。
--hints--
euler471()应返回1.895093981e + 31。
assert.strictEqual(euler471(), 1.895093981e31);
--seed--
--seed-contents--
function euler471() {
return true;
}
euler471();
--solutions--
// solution required