gaspersic/freeCodeCamp
1
0
Fork 0
Code Issues Pull Requests Projects Releases Wiki Activity

fix(curriculum): clean-up Project Euler 241-260 (#42879)

Browse Source 
* fix: clean-up Project Euler 241-260

* fix: typo

* Update curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-255-rounded-square-roots.md

Co-authored-by: Tom <20648924+moT01@users.noreply.github.com>
This commit is contained in:
gikf
2021-07-16 12:21:45 +02:00
committed by GitHub
parent b2059684ef
commit 67de105117
20 changed files with 272 additions and 154 deletions
Download Patch File Download Diff File Expand all files Collapse all files

20
curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-243-resilience.md
View File

@ -10,18 +10,24 @@ dashedName: problem-243-resilience
A positive fraction whose numerator is less than its denominator is called a proper fraction.
For any denominator, d, there will be d−1 proper fractions; for example, with d = 12:1/12 , 2/12 , 3/12 , 4/12 , 5/12 , 6/12 , 7/12 , 8/12 , 9/12 , 10/12 , 11/12 .
For any denominator, $d$, there will be $d−1$ proper fractions; for example, with $d = 12$:
We shall call a fraction that cannot be cancelled down a resilient fraction. Furthermore we shall define the resilience of a denominator, R(d), to be the ratio of its proper fractions that are resilient; for example, R(12) = 4/11 . In fact, d = 12 is the smallest denominator having a resilience R(d) &lt; 4/10 .
$$\frac{1}{12}, \frac{2}{12}, \frac{3}{12}, \frac{4}{12}, \frac{5}{12}, \frac{6}{12}, \frac{7}{12}, \frac{8}{12}, \frac{9}{12}, \frac{10}{12}, \frac{11}{12}$$
Find the smallest denominator d, having a resilience R(d) &lt; 15499/94744 .
We shall call a fraction that cannot be cancelled down a resilient fraction.
Furthermore we shall define the resilience of a denominator, $R(d)$, to be the ratio of its proper fractions that are resilient; for example, $R(12) = \frac{4}{11}$.
In fact, $d = 12$ is the smallest denominator having a resilience $R(d) &lt; \frac{4}{10}$.
Find the smallest denominator $d$, having a resilience $R(d) &lt; \frac{15\\,499}{94\\,744}$.
# --hints--
`euler243()` should return 892371480.
`resilience()` should return `892371480`.
```js
assert.strictEqual(euler243(), 892371480);
assert.strictEqual(resilience(), 892371480);
```
# --seed--
@ -29,12 +35,12 @@ assert.strictEqual(euler243(), 892371480);
## --seed-contents--
```js
function euler243() {
function resilience() {
return true;
}
euler243();
resilience();
```
# --solutions--