* 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>
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id, title, challengeType, forumTopicId, dashedName
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3b41000cf542c50fec7 | 关卡 72:分数计数 | 5 | 302185 | problem-72-counting-fractions |
--description--
考虑形如 n
/d
的分数,其中 n 和 d 均为正整数。如果 n
<d
,且最大公约数 HCF(n
,d
)=1,则该分数被称为最简真分数。
如果我们将 d
≤ 8 的最简真分数构成的集合按大小升序列出,将得到:
1/8, 1/7, 1/6, 1/5, 1/4, 2/7, 1/3, 3/8, 2/5, 3/7, 1/2, 4/7, 3/5, 5/8, 2/3, 5/7, 3/4, 4/5, 5/6, 6/7, 7/8
可以看出该集合中共有 21 个元素。
求 d
≤ 1,000,000 的最简真分数构成的集合中共有多少个元素。
--hints--
countingFractions()
应该返回一个数字。
assert(typeof countingFractions() === 'number');
countingFractions()
应该返回 303963552391。
assert.strictEqual(countingFractions(), 303963552391);
--seed--
--seed-contents--
function countingFractions() {
return true;
}
countingFractions();
--solutions--
// solution required