* 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>
1.2 KiB
1.2 KiB
id, title, challengeType, forumTopicId, dashedName
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f3b61000cf542c50fec8 | 关卡 73:区间内的分数个数 | 5 | 302186 | problem-73-counting-fractions-in-a-range |
--description--
考虑形如 n
/d
的分数,其中 n 和 d 均为正整数。如果 n
<d
,且其最大公约数 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
可以看出在 1/3 和 1/2 之间有3个分数。
将 d
≤ 12,000 的最简真分数构成的集合排序后,在 1/3 和 1/2 之间有多少个分数?
--hints--
countingFractionsInARange()
应该返回一个数字。
assert(typeof countingFractionsInARange() === 'number');
countingFractionsInARange()
应该返回 7295372。
assert.strictEqual(countingFractionsInARange(), 7295372);
--seed--
--seed-contents--
function countingFractionsInARange() {
return true;
}
countingFractionsInARange();
--solutions--
// solution required