* 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>
995 B
995 B
id, title, challengeType, videoUrl, dashedName
id | title | challengeType | videoUrl | dashedName |
---|---|---|---|---|
5900f4521000cf542c50ff64 | 问题229:使用正方形的四个表示 | 5 | problem-229-four-representations-using-squares |
--description--
考虑数字3600.这是非常特别的,因为
3600 = 482 + 362 3600 = 202 + 2×402 3600 = 302 + 3×302 3600 = 452 + 7×152
类似地,我们发现88201 = 992 + 2802 = 2872 + 2×542 = 2832 + 3×522 = 1972 + 7×842。
在1747年,欧拉证明哪些数字可以表示为两个正方形的总和。我们感兴趣的是数字n,它承认以下四种类型的表示:
n = a12 + b12n = a22 + 2 b22n = a32 + 3 b32n = a72 + 7 b72,
其中ak和bk是正整数。
有75373这样的数字不超过107。
有多少这样的数字不超过2×109?
--hints--
euler229()
应该返回11325263。
assert.strictEqual(euler229(), 11325263);
--seed--
--seed-contents--
function euler229() {
return true;
}
euler229();
--solutions--
// solution required