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>
43 lines
705 B
Markdown
43 lines
705 B
Markdown
---
|
|
id: 5900f4551000cf542c50ff68
|
|
title: 'Problem 233: Lattice points on a circle'
|
|
challengeType: 5
|
|
forumTopicId: 301877
|
|
dashedName: problem-233-lattice-points-on-a-circle
|
|
---
|
|
|
|
# --description--
|
|
|
|
Let f(N) be the number of points with integer coordinates that are on a circle passing through (0,0), (N,0),(0,N), and (N,N).
|
|
|
|
It can be shown that f(10000) = 36.
|
|
|
|
What is the sum of all positive integers N ≤ 1011 such that f(N) = 420 ?
|
|
|
|
# --hints--
|
|
|
|
`euler233()` should return 271204031455541300.
|
|
|
|
```js
|
|
assert.strictEqual(euler233(), 271204031455541300);
|
|
```
|
|
|
|
# --seed--
|
|
|
|
## --seed-contents--
|
|
|
|
```js
|
|
function euler233() {
|
|
|
|
return true;
|
|
}
|
|
|
|
euler233();
|
|
```
|
|
|
|
# --solutions--
|
|
|
|
```js
|
|
// solution required
|
|
```
|